TSTP Solution File: SYO038-1.003.004 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYO038-1.003.004 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:09:31 EDT 2023
% Result : Unsatisfiable 42.03s 42.11s
% Output : CNFRefutation 42.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 196
% Number of leaves : 10
% Syntax : Number of formulae : 708 ( 127 unt; 4 typ; 0 def)
% Number of atoms : 1281 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1259 ( 682 ~; 577 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 142 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
one: $i ).
tff(decl_23,type,
f: ( $i * $i ) > $i ).
tff(decl_24,type,
s: $i > $i ).
tff(decl_25,type,
d: $i > $o ).
cnf(ax5,axiom,
( d(s(X1))
| ~ d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(ax2,axiom,
f(one,s(X1)) = s(s(f(one,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(ax3,axiom,
f(s(X1),s(X2)) = f(X1,f(s(X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(ax1,axiom,
f(X1,one) = s(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(conj,negated_conjecture,
~ d(f(s(s(one)),s(s(s(one))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(ax4,axiom,
d(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(c_0_6,axiom,
( d(s(X1))
| ~ d(X1) ),
ax5 ).
cnf(c_0_7,axiom,
f(one,s(X1)) = s(s(f(one,X1))),
ax2 ).
cnf(c_0_8,plain,
( d(f(one,s(X1)))
| ~ d(s(f(one,X1))) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( d(f(one,f(one,s(X1))))
| ~ d(s(f(one,s(f(one,X1))))) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
( d(f(one,f(one,s(X1))))
| ~ d(f(one,s(f(one,X1)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_11,plain,
( d(f(one,f(one,f(one,s(X1)))))
| ~ d(f(one,s(f(one,s(f(one,X1)))))) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,plain,
( d(f(one,f(one,f(one,s(X1)))))
| ~ d(s(f(one,f(one,s(f(one,X1)))))) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_13,plain,
( d(f(one,f(one,f(one,s(X1)))))
| ~ d(f(one,f(one,s(f(one,X1))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_14,plain,
( d(f(one,f(one,f(one,f(one,s(X1))))))
| ~ d(f(one,f(one,s(f(one,s(f(one,X1))))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_15,plain,
( d(f(one,f(one,f(one,f(one,s(X1))))))
| ~ d(f(one,s(f(one,f(one,s(f(one,X1))))))) ),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_16,plain,
( d(f(one,f(one,f(one,f(one,s(X1))))))
| ~ d(s(f(one,f(one,f(one,s(f(one,X1))))))) ),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_17,plain,
( d(f(one,f(one,f(one,f(one,s(X1))))))
| ~ d(f(one,f(one,f(one,s(f(one,X1)))))) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_18,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(X1)))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(f(one,X1)))))))) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_19,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(X1)))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(f(one,X1)))))))) ),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_20,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(X1)))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(f(one,X1)))))))) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_21,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(X1)))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(f(one,X1)))))))) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_22,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(X1)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,X1))))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_23,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_24,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_25,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_26,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_27,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_28,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_29,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
cnf(c_0_30,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_31,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_32,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_33,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_32,c_0_10]) ).
cnf(c_0_34,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_33,c_0_8]) ).
cnf(c_0_35,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))) ),
inference(spm,[status(thm)],[c_0_34,c_0_6]) ).
cnf(c_0_36,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_35,c_0_7]) ).
cnf(c_0_37,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_38,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_39,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_40,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_39,c_0_13]) ).
cnf(c_0_41,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_40,c_0_10]) ).
cnf(c_0_42,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_41,c_0_8]) ).
cnf(c_0_43,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_6]) ).
cnf(c_0_44,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_43,c_0_7]) ).
cnf(c_0_45,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_46,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_47,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_46,c_0_22]) ).
cnf(c_0_48,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_47,c_0_17]) ).
cnf(c_0_49,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_48,c_0_13]) ).
cnf(c_0_50,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_49,c_0_10]) ).
cnf(c_0_51,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_50,c_0_8]) ).
cnf(c_0_52,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))) ),
inference(spm,[status(thm)],[c_0_51,c_0_6]) ).
cnf(c_0_53,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_52,c_0_7]) ).
cnf(c_0_54,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_53,c_0_43]) ).
cnf(c_0_55,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_56,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_55,c_0_28]) ).
cnf(c_0_57,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_56,c_0_22]) ).
cnf(c_0_58,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_57,c_0_17]) ).
cnf(c_0_59,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_58,c_0_13]) ).
cnf(c_0_60,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_59,c_0_10]) ).
cnf(c_0_61,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_60,c_0_8]) ).
cnf(c_0_62,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_61,c_0_6]) ).
cnf(c_0_63,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_62,c_0_7]) ).
cnf(c_0_64,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_63,c_0_52]) ).
cnf(c_0_65,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_64,c_0_43]) ).
cnf(c_0_66,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_65,c_0_35]) ).
cnf(c_0_67,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_66,c_0_28]) ).
cnf(c_0_68,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_67,c_0_22]) ).
cnf(c_0_69,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_68,c_0_17]) ).
cnf(c_0_70,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_69,c_0_13]) ).
cnf(c_0_71,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_70,c_0_10]) ).
cnf(c_0_72,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_71,c_0_8]) ).
cnf(c_0_73,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_72,c_0_6]) ).
cnf(c_0_74,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_73,c_0_7]) ).
cnf(c_0_75,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_74,c_0_62]) ).
cnf(c_0_76,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_75,c_0_52]) ).
cnf(c_0_77,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_76,c_0_43]) ).
cnf(c_0_78,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_77,c_0_35]) ).
cnf(c_0_79,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_78,c_0_28]) ).
cnf(c_0_80,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_79,c_0_22]) ).
cnf(c_0_81,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_80,c_0_17]) ).
cnf(c_0_82,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_81,c_0_13]) ).
cnf(c_0_83,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_10]) ).
cnf(c_0_84,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_83,c_0_8]) ).
cnf(c_0_85,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_84,c_0_6]) ).
cnf(c_0_86,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_85,c_0_7]) ).
cnf(c_0_87,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_86,c_0_73]) ).
cnf(c_0_88,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_87,c_0_62]) ).
cnf(c_0_89,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_88,c_0_52]) ).
cnf(c_0_90,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_89,c_0_43]) ).
cnf(c_0_91,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_35]) ).
cnf(c_0_92,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_91,c_0_28]) ).
cnf(c_0_93,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_92,c_0_22]) ).
cnf(c_0_94,axiom,
f(s(X1),s(X2)) = f(X1,f(s(X1),X2)),
ax3 ).
cnf(c_0_95,axiom,
f(X1,one) = s(one),
ax1 ).
cnf(c_0_96,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_93,c_0_17]) ).
cnf(c_0_97,plain,
f(s(X1),s(one)) = f(X1,s(one)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_96,c_0_13]) ).
cnf(c_0_99,plain,
f(X1,f(X1,s(one))) = f(s(X1),s(s(one))),
inference(spm,[status(thm)],[c_0_94,c_0_97]) ).
cnf(c_0_100,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_98,c_0_10]) ).
cnf(c_0_101,plain,
f(one,s(one)) = s(s(s(one))),
inference(spm,[status(thm)],[c_0_7,c_0_95]) ).
cnf(c_0_102,plain,
f(s(X1),f(X1,s(one))) = f(s(s(X1)),s(s(one))),
inference(spm,[status(thm)],[c_0_99,c_0_97]) ).
cnf(c_0_103,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_8]) ).
cnf(c_0_104,plain,
f(one,s(s(one))) = s(s(s(s(s(one))))),
inference(spm,[status(thm)],[c_0_7,c_0_101]) ).
cnf(c_0_105,plain,
f(s(one),s(s(one))) = f(one,s(s(s(one)))),
inference(spm,[status(thm)],[c_0_99,c_0_101]) ).
cnf(c_0_106,plain,
f(s(s(one)),s(s(one))) = f(s(one),s(s(s(one)))),
inference(spm,[status(thm)],[c_0_102,c_0_101]) ).
cnf(c_0_107,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_103,c_0_6]) ).
cnf(c_0_108,plain,
s(s(s(s(s(s(s(one))))))) = f(one,s(s(s(one)))),
inference(spm,[status(thm)],[c_0_7,c_0_104]) ).
cnf(c_0_109,plain,
f(one,f(one,s(s(s(one))))) = f(s(one),s(s(s(one)))),
inference(spm,[status(thm)],[c_0_94,c_0_105]) ).
cnf(c_0_110,plain,
f(s(one),f(s(one),s(s(s(one))))) = f(s(s(one)),s(s(s(one)))),
inference(spm,[status(thm)],[c_0_94,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
~ d(f(s(s(one)),s(s(s(one))))),
conj ).
cnf(c_0_112,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_108]),c_0_109]),c_0_110]),c_0_111]) ).
cnf(c_0_113,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_112,c_0_85]) ).
cnf(c_0_114,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_113,c_0_73]) ).
cnf(c_0_115,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_114,c_0_62]) ).
cnf(c_0_116,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_115,c_0_52]) ).
cnf(c_0_117,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_116,c_0_43]) ).
cnf(c_0_118,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_117,c_0_35]) ).
cnf(c_0_119,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_118,c_0_28]) ).
cnf(c_0_120,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]) ).
cnf(c_0_121,plain,
~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_119,c_0_22]) ).
cnf(c_0_122,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_120,c_0_73]) ).
cnf(c_0_123,plain,
~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_121,c_0_17]) ).
cnf(c_0_124,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_122,c_0_62]) ).
cnf(c_0_125,plain,
~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_123,c_0_13]) ).
cnf(c_0_126,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_124,c_0_52]) ).
cnf(c_0_127,plain,
~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_125,c_0_10]) ).
cnf(c_0_128,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_126,c_0_43]) ).
cnf(c_0_129,plain,
~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_127,c_0_8]) ).
cnf(c_0_130,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_128,c_0_35]) ).
cnf(c_0_131,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_129,c_0_6]) ).
cnf(c_0_132,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_130,c_0_28]) ).
cnf(c_0_133,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_131,c_0_107]) ).
cnf(c_0_134,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_132,c_0_22]) ).
cnf(c_0_135,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]) ).
cnf(c_0_136,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_133,c_0_85]) ).
cnf(c_0_137,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_134,c_0_17]) ).
cnf(c_0_138,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_135,c_0_62]) ).
cnf(c_0_139,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_136,c_0_73]) ).
cnf(c_0_140,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_137,c_0_13]) ).
cnf(c_0_141,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_138,c_0_52]) ).
cnf(c_0_142,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_139,c_0_62]) ).
cnf(c_0_143,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_140,c_0_10]) ).
cnf(c_0_144,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_141,c_0_43]) ).
cnf(c_0_145,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_142,c_0_52]) ).
cnf(c_0_146,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_143,c_0_8]) ).
cnf(c_0_147,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_144,c_0_35]) ).
cnf(c_0_148,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_145,c_0_43]) ).
cnf(c_0_149,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_146,c_0_6]) ).
cnf(c_0_150,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_147,c_0_28]) ).
cnf(c_0_151,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_148,c_0_35]) ).
cnf(c_0_152,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_149,c_0_85]) ).
cnf(c_0_153,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_150,c_0_22]) ).
cnf(c_0_154,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_151,c_0_28]) ).
cnf(c_0_155,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_152,c_0_73]) ).
cnf(c_0_156,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_153,c_0_17]) ).
cnf(c_0_157,plain,
~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_154,c_0_22]) ).
cnf(c_0_158,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_155,c_0_62]) ).
cnf(c_0_159,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_156,c_0_13]) ).
cnf(c_0_160,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]),c_0_94]) ).
cnf(c_0_161,plain,
~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_157,c_0_17]) ).
cnf(c_0_162,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_158,c_0_52]) ).
cnf(c_0_163,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_159,c_0_10]) ).
cnf(c_0_164,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_160,c_0_52]) ).
cnf(c_0_165,plain,
~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_161,c_0_13]) ).
cnf(c_0_166,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_162,c_0_43]) ).
cnf(c_0_167,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_163,c_0_8]) ).
cnf(c_0_168,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_164,c_0_43]) ).
cnf(c_0_169,plain,
~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_165,c_0_10]) ).
cnf(c_0_170,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_166,c_0_35]) ).
cnf(c_0_171,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_167,c_0_6]) ).
cnf(c_0_172,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_168,c_0_35]) ).
cnf(c_0_173,plain,
~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_169,c_0_8]) ).
cnf(c_0_174,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_170,c_0_28]) ).
cnf(c_0_175,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_171,c_0_73]) ).
cnf(c_0_176,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_172,c_0_28]) ).
cnf(c_0_177,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_173,c_0_6]) ).
cnf(c_0_178,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_174,c_0_22]) ).
cnf(c_0_179,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_175,c_0_62]) ).
cnf(c_0_180,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_176,c_0_22]) ).
cnf(c_0_181,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_177,c_0_107]) ).
cnf(c_0_182,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_178,c_0_17]) ).
cnf(c_0_183,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_179,c_0_52]) ).
cnf(c_0_184,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_180,c_0_17]) ).
cnf(c_0_185,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_181,c_0_85]) ).
cnf(c_0_186,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_182,c_0_13]) ).
cnf(c_0_187,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_183,c_0_43]) ).
cnf(c_0_188,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_184,c_0_13]) ).
cnf(c_0_189,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]),c_0_94]),c_0_7]) ).
cnf(c_0_190,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_185,c_0_73]) ).
cnf(c_0_191,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_186,c_0_10]) ).
cnf(c_0_192,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_187,c_0_35]) ).
cnf(c_0_193,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_188,c_0_10]) ).
cnf(c_0_194,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_189,c_0_43]) ).
cnf(c_0_195,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_190,c_0_62]) ).
cnf(c_0_196,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_191,c_0_8]) ).
cnf(c_0_197,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_192,c_0_28]) ).
cnf(c_0_198,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_193,c_0_8]) ).
cnf(c_0_199,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_194,c_0_35]) ).
cnf(c_0_200,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_195,c_0_52]) ).
cnf(c_0_201,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_196,c_0_6]) ).
cnf(c_0_202,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_197,c_0_22]) ).
cnf(c_0_203,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_198,c_0_6]) ).
cnf(c_0_204,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_199,c_0_28]) ).
cnf(c_0_205,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_200,c_0_43]) ).
cnf(c_0_206,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_201,c_0_85]) ).
cnf(c_0_207,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_202,c_0_17]) ).
cnf(c_0_208,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_203,c_0_62]) ).
cnf(c_0_209,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_204,c_0_22]) ).
cnf(c_0_210,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_205,c_0_35]) ).
cnf(c_0_211,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_206,c_0_73]) ).
cnf(c_0_212,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_207,c_0_13]) ).
cnf(c_0_213,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_208,c_0_52]) ).
cnf(c_0_214,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_209,c_0_17]) ).
cnf(c_0_215,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_210,c_0_28]) ).
cnf(c_0_216,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_211,c_0_62]) ).
cnf(c_0_217,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_212,c_0_10]) ).
cnf(c_0_218,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_213,c_0_43]) ).
cnf(c_0_219,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_214,c_0_13]) ).
cnf(c_0_220,plain,
~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_215,c_0_22]) ).
cnf(c_0_221,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_216,c_0_52]) ).
cnf(c_0_222,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_217,c_0_8]) ).
cnf(c_0_223,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_218,c_0_35]) ).
cnf(c_0_224,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_219,c_0_10]) ).
cnf(c_0_225,plain,
~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_220,c_0_17]) ).
cnf(c_0_226,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_221,c_0_43]) ).
cnf(c_0_227,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_222,c_0_6]) ).
cnf(c_0_228,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_223,c_0_28]) ).
cnf(c_0_229,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_224,c_0_8]) ).
cnf(c_0_230,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]),c_0_94]) ).
cnf(c_0_231,plain,
~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_225,c_0_13]) ).
cnf(c_0_232,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_226,c_0_35]) ).
cnf(c_0_233,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_227,c_0_73]) ).
cnf(c_0_234,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_228,c_0_22]) ).
cnf(c_0_235,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_229,c_0_6]) ).
cnf(c_0_236,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_230,c_0_35]) ).
cnf(c_0_237,plain,
~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_231,c_0_10]) ).
cnf(c_0_238,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_232,c_0_28]) ).
cnf(c_0_239,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_233,c_0_62]) ).
cnf(c_0_240,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_234,c_0_17]) ).
cnf(c_0_241,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_235,c_0_52]) ).
cnf(c_0_242,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_236,c_0_28]) ).
cnf(c_0_243,plain,
~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_237,c_0_8]) ).
cnf(c_0_244,plain,
f(one,s(f(s(one),X1))) = s(s(f(s(one),s(X1)))),
inference(spm,[status(thm)],[c_0_7,c_0_94]) ).
cnf(c_0_245,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_238,c_0_22]) ).
cnf(c_0_246,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_239,c_0_52]) ).
cnf(c_0_247,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_240,c_0_13]) ).
cnf(c_0_248,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_241,c_0_43]) ).
cnf(c_0_249,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_242,c_0_22]) ).
cnf(c_0_250,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))),
inference(spm,[status(thm)],[c_0_243,c_0_6]) ).
cnf(c_0_251,plain,
f(one,s(f(one,s(s(s(one)))))) = s(s(f(s(one),s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_244,c_0_105]) ).
cnf(c_0_252,plain,
f(one,s(s(f(s(one),X1)))) = s(s(s(s(f(s(one),s(X1)))))),
inference(spm,[status(thm)],[c_0_7,c_0_244]) ).
cnf(c_0_253,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_245,c_0_17]) ).
cnf(c_0_254,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_246,c_0_43]) ).
cnf(c_0_255,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_247,c_0_10]) ).
cnf(c_0_256,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_248,c_0_35]) ).
cnf(c_0_257,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_249,c_0_17]) ).
cnf(c_0_258,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_107]),c_0_251]),c_0_252]) ).
cnf(c_0_259,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_253,c_0_13]) ).
cnf(c_0_260,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_254,c_0_35]) ).
cnf(c_0_261,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_255,c_0_8]) ).
cnf(c_0_262,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_256,c_0_28]) ).
cnf(c_0_263,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_257,c_0_13]) ).
cnf(c_0_264,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_258,c_0_62]) ).
cnf(c_0_265,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_259,c_0_10]) ).
cnf(c_0_266,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_260,c_0_28]) ).
cnf(c_0_267,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_261,c_0_6]) ).
cnf(c_0_268,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_262,c_0_22]) ).
cnf(c_0_269,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_263,c_0_10]) ).
cnf(c_0_270,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_264,c_0_52]) ).
cnf(c_0_271,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_265,c_0_8]) ).
cnf(c_0_272,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_266,c_0_22]) ).
cnf(c_0_273,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_267,c_0_62]) ).
cnf(c_0_274,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_268,c_0_17]) ).
cnf(c_0_275,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_269,c_0_8]) ).
cnf(c_0_276,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]),c_0_94]),c_0_7]) ).
cnf(c_0_277,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_270,c_0_43]) ).
cnf(c_0_278,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_271,c_0_6]) ).
cnf(c_0_279,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_272,c_0_17]) ).
cnf(c_0_280,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_273,c_0_52]) ).
cnf(c_0_281,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_274,c_0_13]) ).
cnf(c_0_282,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_275,c_0_6]) ).
cnf(c_0_283,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_276,c_0_28]) ).
cnf(c_0_284,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_277,c_0_35]) ).
cnf(c_0_285,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_85]),c_0_251]),c_0_252]) ).
cnf(c_0_286,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_279,c_0_13]) ).
cnf(c_0_287,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_280,c_0_43]) ).
cnf(c_0_288,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_281,c_0_10]) ).
cnf(c_0_289,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_282,c_0_43]) ).
cnf(c_0_290,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_283,c_0_22]) ).
cnf(c_0_291,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_284,c_0_28]) ).
cnf(c_0_292,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_285,c_0_52]) ).
cnf(c_0_293,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_286,c_0_10]) ).
cnf(c_0_294,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_287,c_0_35]) ).
cnf(c_0_295,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_288,c_0_8]) ).
cnf(c_0_296,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_289,c_0_35]) ).
cnf(c_0_297,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_290,c_0_17]) ).
cnf(c_0_298,plain,
~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_291,c_0_22]) ).
cnf(c_0_299,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_292,c_0_43]) ).
cnf(c_0_300,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_293,c_0_8]) ).
cnf(c_0_301,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_294,c_0_28]) ).
cnf(c_0_302,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_295,c_0_6]) ).
cnf(c_0_303,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_296,c_0_28]) ).
cnf(c_0_304,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_297,c_0_13]) ).
cnf(c_0_305,plain,
~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_298,c_0_17]) ).
cnf(c_0_306,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_299,c_0_35]) ).
cnf(c_0_307,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_300,c_0_6]) ).
cnf(c_0_308,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_301,c_0_22]) ).
cnf(c_0_309,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_302,c_0_52]) ).
cnf(c_0_310,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_303,c_0_22]) ).
cnf(c_0_311,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_304,c_0_10]) ).
cnf(c_0_312,plain,
~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_305,c_0_13]) ).
cnf(c_0_313,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_306,c_0_28]) ).
cnf(c_0_314,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_73]),c_0_251]),c_0_252]) ).
cnf(c_0_315,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_308,c_0_17]) ).
cnf(c_0_316,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_309,c_0_43]) ).
cnf(c_0_317,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_310,c_0_17]) ).
cnf(c_0_318,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_311,c_0_8]) ).
cnf(c_0_319,plain,
~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_312,c_0_10]) ).
cnf(c_0_320,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_313,c_0_22]) ).
cnf(c_0_321,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_314,c_0_43]) ).
cnf(c_0_322,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_315,c_0_13]) ).
cnf(c_0_323,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_316,c_0_35]) ).
cnf(c_0_324,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_317,c_0_13]) ).
cnf(c_0_325,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_318,c_0_6]) ).
cnf(c_0_326,plain,
~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_319,c_0_8]) ).
cnf(c_0_327,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_61,c_0_252]) ).
cnf(c_0_328,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_320,c_0_17]) ).
cnf(c_0_329,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_321,c_0_35]) ).
cnf(c_0_330,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_322,c_0_10]) ).
cnf(c_0_331,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_323,c_0_28]) ).
cnf(c_0_332,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_324,c_0_10]) ).
cnf(c_0_333,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_325,c_0_35]) ).
cnf(c_0_334,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]),c_0_94]) ).
cnf(c_0_335,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))),
inference(spm,[status(thm)],[c_0_326,c_0_6]) ).
cnf(c_0_336,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_327,c_0_6]) ).
cnf(c_0_337,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_328,c_0_13]) ).
cnf(c_0_338,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_329,c_0_28]) ).
cnf(c_0_339,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_330,c_0_8]) ).
cnf(c_0_340,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_331,c_0_22]) ).
cnf(c_0_341,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_332,c_0_8]) ).
cnf(c_0_342,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_333,c_0_28]) ).
cnf(c_0_343,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_334,c_0_22]) ).
cnf(c_0_344,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_345,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_337,c_0_10]) ).
cnf(c_0_346,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_338,c_0_22]) ).
cnf(c_0_347,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_339,c_0_6]) ).
cnf(c_0_348,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_340,c_0_17]) ).
cnf(c_0_349,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_341,c_0_6]) ).
cnf(c_0_350,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_342,c_0_22]) ).
cnf(c_0_351,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_343,c_0_17]) ).
cnf(c_0_352,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_344,c_0_52]) ).
cnf(c_0_353,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_345,c_0_8]) ).
cnf(c_0_354,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_346,c_0_17]) ).
cnf(c_0_355,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_62]),c_0_251]),c_0_252]) ).
cnf(c_0_356,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_348,c_0_13]) ).
cnf(c_0_357,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_349,c_0_43]) ).
cnf(c_0_358,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_350,c_0_17]) ).
cnf(c_0_359,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_351,c_0_13]) ).
cnf(c_0_360,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_352,c_0_43]) ).
cnf(c_0_361,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_353,c_0_6]) ).
cnf(c_0_362,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_354,c_0_13]) ).
cnf(c_0_363,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_355,c_0_35]) ).
cnf(c_0_364,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_356,c_0_10]) ).
cnf(c_0_365,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_357,c_0_35]) ).
cnf(c_0_366,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_358,c_0_13]) ).
cnf(c_0_367,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_359,c_0_10]) ).
cnf(c_0_368,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_360,c_0_35]) ).
cnf(c_0_369,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_52]),c_0_252]) ).
cnf(c_0_370,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_362,c_0_10]) ).
cnf(c_0_371,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_363,c_0_28]) ).
cnf(c_0_372,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_364,c_0_8]) ).
cnf(c_0_373,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_365,c_0_28]) ).
cnf(c_0_374,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_366,c_0_10]) ).
cnf(c_0_375,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_367,c_0_8]) ).
cnf(c_0_376,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_368,c_0_28]) ).
cnf(c_0_377,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_369,c_0_43]) ).
cnf(c_0_378,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_370,c_0_8]) ).
cnf(c_0_379,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_252]) ).
cnf(c_0_380,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_371,c_0_22]) ).
cnf(c_0_381,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_372,c_0_6]) ).
cnf(c_0_382,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_373,c_0_22]) ).
cnf(c_0_383,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_374,c_0_8]) ).
cnf(c_0_384,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_375,c_0_6]) ).
cnf(c_0_385,plain,
~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_376,c_0_22]) ).
cnf(c_0_386,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_377,c_0_35]) ).
cnf(c_0_387,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_378,c_0_6]) ).
cnf(c_0_388,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_379,c_0_6]) ).
cnf(c_0_389,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_380,c_0_17]) ).
cnf(c_0_390,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_52]),c_0_251]),c_0_252]) ).
cnf(c_0_391,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_382,c_0_17]) ).
cnf(c_0_392,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_383,c_0_6]) ).
cnf(c_0_393,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_384,c_0_28]) ).
cnf(c_0_394,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_108]) ).
cnf(c_0_395,plain,
~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_385,c_0_17]) ).
cnf(c_0_396,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_386,c_0_28]) ).
cnf(c_0_397,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_398,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_389,c_0_13]) ).
cnf(c_0_399,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_390,c_0_28]) ).
cnf(c_0_400,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_391,c_0_13]) ).
cnf(c_0_401,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_392,c_0_35]) ).
cnf(c_0_402,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_393,c_0_22]) ).
cnf(c_0_403,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_394,c_0_17]) ).
cnf(c_0_404,plain,
~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_395,c_0_13]) ).
cnf(c_0_405,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_396,c_0_22]) ).
cnf(c_0_406,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_397,c_0_35]) ).
cnf(c_0_407,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_398,c_0_10]) ).
cnf(c_0_408,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_399,c_0_22]) ).
cnf(c_0_409,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_400,c_0_10]) ).
cnf(c_0_410,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_401,c_0_28]) ).
cnf(c_0_411,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_402,c_0_17]) ).
cnf(c_0_412,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_403,c_0_13]) ).
cnf(c_0_413,plain,
~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_404,c_0_10]) ).
cnf(c_0_414,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_405,c_0_17]) ).
cnf(c_0_415,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_406,c_0_28]) ).
cnf(c_0_416,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_407,c_0_8]) ).
cnf(c_0_417,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1))))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_34,c_0_252]) ).
cnf(c_0_418,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_408,c_0_17]) ).
cnf(c_0_419,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_409,c_0_8]) ).
cnf(c_0_420,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_410,c_0_22]) ).
cnf(c_0_421,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_411,c_0_13]) ).
cnf(c_0_422,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_412,c_0_10]) ).
cnf(c_0_423,plain,
~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))))),
inference(spm,[status(thm)],[c_0_413,c_0_8]) ).
cnf(c_0_424,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_425,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_414,c_0_13]) ).
cnf(c_0_426,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_415,c_0_22]) ).
cnf(c_0_427,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_416,c_0_6]) ).
cnf(c_0_428,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_417,c_0_6]) ).
cnf(c_0_429,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_418,c_0_13]) ).
cnf(c_0_430,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_419,c_0_6]) ).
cnf(c_0_431,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_420,c_0_17]) ).
cnf(c_0_432,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_421,c_0_10]) ).
cnf(c_0_433,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_422,c_0_8]) ).
cnf(c_0_434,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_423,c_0_6]) ).
cnf(c_0_435,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1)))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1))))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_436,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1)))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_7]),c_0_7]) ).
cnf(c_0_437,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_425,c_0_10]) ).
cnf(c_0_438,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_426,c_0_17]) ).
cnf(c_0_439,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_440,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_429,c_0_10]) ).
cnf(c_0_441,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_43]),c_0_251]),c_0_252]) ).
cnf(c_0_442,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_431,c_0_13]) ).
cnf(c_0_443,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_432,c_0_8]) ).
cnf(c_0_444,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_433,c_0_6]) ).
cnf(c_0_445,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))))))))))),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_446,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_436,c_0_104]) ).
cnf(c_0_447,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_448,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_437,c_0_8]) ).
cnf(c_0_449,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_438,c_0_13]) ).
cnf(c_0_450,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_439,c_0_28]) ).
cnf(c_0_451,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_440,c_0_8]) ).
cnf(c_0_452,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_27,c_0_252]) ).
cnf(c_0_453,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_441,c_0_22]) ).
cnf(c_0_454,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_442,c_0_10]) ).
cnf(c_0_455,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_443,c_0_6]) ).
cnf(c_0_456,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_444,c_0_22]) ).
cnf(c_0_457,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))))))))),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_458,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))))))) ),
inference(spm,[status(thm)],[c_0_447,c_0_7]) ).
cnf(c_0_459,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1)))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_460,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_448,c_0_6]) ).
cnf(c_0_461,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_7]),c_0_7]) ).
cnf(c_0_462,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_449,c_0_10]) ).
cnf(c_0_463,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_450,c_0_22]) ).
cnf(c_0_464,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_451,c_0_6]) ).
cnf(c_0_465,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),X1)))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_452,c_0_6]) ).
cnf(c_0_466,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_453,c_0_17]) ).
cnf(c_0_467,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_454,c_0_8]) ).
cnf(c_0_468,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_455,c_0_28]) ).
cnf(c_0_469,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_456,c_0_17]) ).
cnf(c_0_470,plain,
~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one))))))))))))))))),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_471,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1)))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_7]),c_0_7]) ).
cnf(c_0_472,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_473,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_460,c_0_424]) ).
cnf(c_0_474,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_461,c_0_104]) ).
cnf(c_0_475,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_462,c_0_8]) ).
cnf(c_0_476,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_463,c_0_17]) ).
cnf(c_0_477,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_478,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_466,c_0_13]) ).
cnf(c_0_479,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_467,c_0_6]) ).
cnf(c_0_480,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_468,c_0_22]) ).
cnf(c_0_481,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_469,c_0_13]) ).
cnf(c_0_482,plain,
~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(one)))))))))))))))),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_483,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))))) ),
inference(spm,[status(thm)],[c_0_472,c_0_7]) ).
cnf(c_0_484,plain,
( d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1))))))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1)))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_485,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_486,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))))) ),
inference(spm,[status(thm)],[c_0_459,c_0_7]) ).
cnf(c_0_487,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_475,c_0_6]) ).
cnf(c_0_488,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_476,c_0_13]) ).
cnf(c_0_489,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_477,c_0_22]) ).
cnf(c_0_490,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_478,c_0_10]) ).
cnf(c_0_491,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_35]),c_0_251]),c_0_252]) ).
cnf(c_0_492,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_480,c_0_17]) ).
cnf(c_0_493,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_481,c_0_10]) ).
cnf(c_0_494,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(s(s(s(s(s(one)))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_108]),c_0_109]),c_0_94]),c_0_94]),c_0_94]) ).
cnf(c_0_495,plain,
~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(one)))))))))))))))),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_496,plain,
( d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1)))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_7]),c_0_7]) ).
cnf(c_0_497,plain,
( d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(X1)))))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(s(s(X1))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_498,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_499,plain,
( d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_7]),c_0_7]) ).
cnf(c_0_500,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_487,c_0_447]) ).
cnf(c_0_501,plain,
( d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_471,c_0_104]) ).
cnf(c_0_502,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_488,c_0_10]) ).
cnf(c_0_503,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_489,c_0_17]) ).
cnf(c_0_504,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_490,c_0_8]) ).
cnf(c_0_505,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_491,c_0_17]) ).
cnf(c_0_506,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_492,c_0_13]) ).
cnf(c_0_507,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_493,c_0_8]) ).
cnf(c_0_508,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_494,c_0_13]) ).
cnf(c_0_509,plain,
~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(s(one))))))))))))))),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_510,plain,
( d(f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1)))))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))) ),
inference(spm,[status(thm)],[c_0_497,c_0_7]) ).
cnf(c_0_511,plain,
( d(f(one,f(one,s(s(s(s(f(s(one),s(s(X1))))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(s(s(X1)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_512,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_513,plain,
( d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1))))))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))) ),
inference(spm,[status(thm)],[c_0_484,c_0_7]) ).
cnf(c_0_514,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_515,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_502,c_0_8]) ).
cnf(c_0_516,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_503,c_0_13]) ).
cnf(c_0_517,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_504,c_0_6]) ).
cnf(c_0_518,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_505,c_0_13]) ).
cnf(c_0_519,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_506,c_0_10]) ).
cnf(c_0_520,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_507,c_0_6]) ).
cnf(c_0_521,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_508,c_0_10]) ).
cnf(c_0_522,plain,
~ d(f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(s(one))))))))))))))),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_523,plain,
( d(f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))))
| ~ d(f(one,s(s(s(s(f(s(one),f(one,s(s(X1)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_7]),c_0_7]) ).
cnf(c_0_524,plain,
( d(f(one,s(s(s(s(f(s(one),s(s(X1)))))))))
| ~ d(s(s(s(s(f(s(one),s(s(s(X1))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_244]),c_0_252]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_525,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_526,plain,
( d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(X1))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_7]),c_0_7]) ).
cnf(c_0_527,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_514,c_0_483]) ).
cnf(c_0_528,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_515,c_0_6]) ).
cnf(c_0_529,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_516,c_0_10]) ).
cnf(c_0_530,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_22]),c_0_252]) ).
cnf(c_0_531,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_518,c_0_10]) ).
cnf(c_0_532,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_519,c_0_8]) ).
cnf(c_0_533,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,s(f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_520,c_0_22]) ).
cnf(c_0_534,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_521,c_0_8]) ).
cnf(c_0_535,plain,
~ d(f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(s(s(one)))))))))))))),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_536,plain,
( d(f(one,s(s(s(s(f(s(one),f(one,s(X1)))))))))
| ~ d(s(s(s(s(f(s(one),s(f(one,s(X1))))))))) ),
inference(spm,[status(thm)],[c_0_524,c_0_7]) ).
cnf(c_0_537,plain,
( d(s(s(s(s(f(s(one),s(s(X1))))))))
| ~ d(s(s(f(s(one),s(s(X1)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_244]),c_0_94]),c_0_244]),c_0_252]) ).
cnf(c_0_538,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_539,plain,
( d(f(one,f(one,s(s(s(s(f(s(one),f(one,s(X1))))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(f(one,s(X1)))))))))) ),
inference(spm,[status(thm)],[c_0_511,c_0_7]) ).
cnf(c_0_540,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_527,c_0_496]) ).
cnf(c_0_541,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_528,c_0_459]) ).
cnf(c_0_542,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))))) ),
inference(spm,[status(thm)],[c_0_529,c_0_8]) ).
cnf(c_0_543,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_530,c_0_17]) ).
cnf(c_0_544,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_531,c_0_8]) ).
cnf(c_0_545,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_532,c_0_6]) ).
cnf(c_0_546,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,s(f(one,f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_533,c_0_17]) ).
cnf(c_0_547,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_534,c_0_6]) ).
cnf(c_0_548,plain,
~ d(s(s(s(s(f(s(one),s(f(one,s(s(s(s(s(s(one)))))))))))))),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_549,plain,
( d(s(s(s(s(f(s(one),s(f(one,s(X1)))))))))
| ~ d(s(s(f(s(one),s(f(one,s(X1))))))) ),
inference(spm,[status(thm)],[c_0_537,c_0_7]) ).
cnf(c_0_550,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_538,c_0_539]) ).
cnf(c_0_551,plain,
( d(f(one,s(s(s(s(f(s(one),s(f(one,s(X1))))))))))
| ~ d(s(s(s(s(f(s(one),f(one,s(s(X1))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_7]),c_0_7]) ).
cnf(c_0_552,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_540,c_0_510]) ).
cnf(c_0_553,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one)))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_472]),c_0_108]) ).
cnf(c_0_554,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_542,c_0_6]) ).
cnf(c_0_555,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_543,c_0_13]) ).
cnf(c_0_556,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_544,c_0_6]) ).
cnf(c_0_557,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_28]),c_0_251]),c_0_252]) ).
cnf(c_0_558,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,s(f(one,f(one,f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_546,c_0_13]) ).
cnf(c_0_559,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_547,c_0_17]) ).
cnf(c_0_560,plain,
~ d(s(s(f(s(one),s(f(one,s(s(s(s(s(s(one)))))))))))),
inference(spm,[status(thm)],[c_0_548,c_0_549]) ).
cnf(c_0_561,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(s(s(s(f(s(one),f(one,s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_562,plain,
( d(s(s(s(s(f(s(one),f(one,s(X1))))))))
| ~ d(s(s(f(s(one),f(one,s(X1)))))) ),
inference(spm,[status(thm)],[c_0_537,c_0_7]) ).
cnf(c_0_563,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_552,c_0_523]) ).
cnf(c_0_564,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_553,c_0_513]) ).
cnf(c_0_565,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_554,c_0_472]) ).
cnf(c_0_566,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_555,c_0_10]) ).
cnf(c_0_567,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_17]),c_0_252]) ).
cnf(c_0_568,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_557,c_0_13]) ).
cnf(c_0_569,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_558,c_0_10]) ).
cnf(c_0_570,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_559,c_0_13]) ).
cnf(c_0_571,plain,
~ d(s(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))),
inference(spm,[status(thm)],[c_0_560,c_0_6]) ).
cnf(c_0_572,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(s(f(s(one),f(one,s(s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_573,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(s(s(s(f(s(one),s(f(one,s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_563,c_0_536]) ).
cnf(c_0_574,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_564,c_0_526]) ).
cnf(c_0_575,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_484]),c_0_108]) ).
cnf(c_0_576,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))))) ),
inference(spm,[status(thm)],[c_0_566,c_0_8]) ).
cnf(c_0_577,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_567,c_0_13]) ).
cnf(c_0_578,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_568,c_0_10]) ).
cnf(c_0_579,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_569,c_0_8]) ).
cnf(c_0_580,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_570,c_0_10]) ).
cnf(c_0_581,plain,
~ d(f(s(one),s(f(one,s(s(s(s(s(s(one)))))))))),
inference(spm,[status(thm)],[c_0_571,c_0_6]) ).
cnf(c_0_582,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(s(one))))))))))
| ~ d(s(f(s(one),f(one,s(s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_572,c_0_6]) ).
cnf(c_0_583,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(s(f(s(one),s(f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_573,c_0_549]) ).
cnf(c_0_584,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_574,c_0_539]) ).
cnf(c_0_585,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_575,c_0_510]) ).
cnf(c_0_586,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_576,c_0_6]) ).
cnf(c_0_587,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_577,c_0_10]) ).
cnf(c_0_588,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_578,c_0_8]) ).
cnf(c_0_589,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_579,c_0_6]) ).
cnf(c_0_590,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_580,c_0_8]) ).
cnf(c_0_591,plain,
~ d(s(f(s(one),f(one,s(s(s(s(s(s(one)))))))))),
inference(spm,[status(thm)],[c_0_581,c_0_582]) ).
cnf(c_0_592,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(s(f(s(one),s(f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_583,c_0_6]) ).
cnf(c_0_593,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(s(s(s(f(s(one),f(one,s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_584,c_0_551]) ).
cnf(c_0_594,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(one,s(s(s(s(f(s(one),f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_585,c_0_523]) ).
cnf(c_0_595,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_586,c_0_484]) ).
cnf(c_0_596,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))))) ),
inference(spm,[status(thm)],[c_0_587,c_0_8]) ).
cnf(c_0_597,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_588,c_0_6]) ).
cnf(c_0_598,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(one)))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_22]),c_0_251]),c_0_252]) ).
cnf(c_0_599,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_590,c_0_6]) ).
cnf(c_0_600,plain,
~ d(f(s(one),f(one,s(s(s(s(s(s(one))))))))),
inference(spm,[status(thm)],[c_0_591,c_0_6]) ).
cnf(c_0_601,plain,
( d(f(s(one),f(one,s(s(s(s(s(s(one)))))))))
| ~ d(f(s(one),s(f(one,s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_592,c_0_6]) ).
cnf(c_0_602,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(s(f(s(one),f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_593,c_0_562]) ).
cnf(c_0_603,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(s(s(s(f(s(one),s(f(one,s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_594,c_0_536]) ).
cnf(c_0_604,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),f(one,s(s(s(one)))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_497]),c_0_108]) ).
cnf(c_0_605,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_596,c_0_6]) ).
cnf(c_0_606,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_13]),c_0_252]) ).
cnf(c_0_607,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_598,c_0_10]) ).
cnf(c_0_608,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,s(f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_599,c_0_17]) ).
cnf(c_0_609,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,s(s(s(s(s(s(one))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_104]),c_0_109]),c_0_94]),c_0_94]) ).
cnf(c_0_610,plain,
~ d(f(s(one),s(f(one,s(s(s(s(s(one))))))))),
inference(spm,[status(thm)],[c_0_600,c_0_601]) ).
cnf(c_0_611,plain,
( d(f(s(one),s(f(one,s(s(s(s(s(one)))))))))
| ~ d(s(f(s(one),f(one,s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_602,c_0_6]) ).
cnf(c_0_612,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(s(f(s(one),s(f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_603,c_0_549]) ).
cnf(c_0_613,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(f(one,s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_604,c_0_539]) ).
cnf(c_0_614,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_605,c_0_497]) ).
cnf(c_0_615,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_606,c_0_10]) ).
cnf(c_0_616,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_607,c_0_8]) ).
cnf(c_0_617,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,s(f(one,f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_608,c_0_13]) ).
cnf(c_0_618,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_609,c_0_6]) ).
cnf(c_0_619,plain,
~ d(s(f(s(one),f(one,s(s(s(s(s(one))))))))),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_620,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(s(f(s(one),s(f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_612,c_0_6]) ).
cnf(c_0_621,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(s(s(s(f(s(one),f(one,s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_613,c_0_551]) ).
cnf(c_0_622,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(one,s(s(s(s(f(s(one),f(one,s(s(s(one))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_511]),c_0_108]) ).
cnf(c_0_623,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))))) ),
inference(spm,[status(thm)],[c_0_615,c_0_8]) ).
cnf(c_0_624,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,f(one,s(s(s(f(s(one),s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_616,c_0_6]) ).
cnf(c_0_625,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,s(f(one,f(one,f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_617,c_0_10]) ).
cnf(c_0_626,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_618,c_0_13]) ).
cnf(c_0_627,plain,
~ d(f(s(one),f(one,s(s(s(s(s(one)))))))),
inference(spm,[status(thm)],[c_0_619,c_0_6]) ).
cnf(c_0_628,plain,
( d(f(s(one),f(one,s(s(s(s(s(one))))))))
| ~ d(f(s(one),s(f(one,s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_620,c_0_6]) ).
cnf(c_0_629,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(s(f(s(one),f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_621,c_0_562]) ).
cnf(c_0_630,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(s(s(s(f(s(one),s(f(one,s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_622,c_0_536]) ).
cnf(c_0_631,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_623,c_0_6]) ).
cnf(c_0_632,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_10]),c_0_252]) ).
cnf(c_0_633,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(f(one,f(one,f(one,f(one,s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_625,c_0_8]) ).
cnf(c_0_634,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_626,c_0_10]) ).
cnf(c_0_635,plain,
~ d(f(s(one),s(f(one,s(s(s(s(one)))))))),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_636,plain,
( d(f(s(one),s(f(one,s(s(s(s(one))))))))
| ~ d(s(f(s(one),f(one,s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_629,c_0_6]) ).
cnf(c_0_637,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(s(f(s(one),s(f(one,s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_630,c_0_549]) ).
cnf(c_0_638,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_631,c_0_511]) ).
cnf(c_0_639,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))))) ),
inference(spm,[status(thm)],[c_0_632,c_0_8]) ).
cnf(c_0_640,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,f(one,f(one,f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_633,c_0_6]) ).
cnf(c_0_641,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_634,c_0_8]) ).
cnf(c_0_642,plain,
~ d(s(f(s(one),f(one,s(s(s(s(one)))))))),
inference(spm,[status(thm)],[c_0_635,c_0_636]) ).
cnf(c_0_643,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(s(f(s(one),s(f(one,s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_637,c_0_6]) ).
cnf(c_0_644,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(s(s(s(f(s(one),f(one,s(s(s(one)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_524]),c_0_108]) ).
cnf(c_0_645,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_639,c_0_6]) ).
cnf(c_0_646,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,s(s(s(s(f(s(one),s(s(s(s(one))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_17]),c_0_251]),c_0_252]) ).
cnf(c_0_647,plain,
( d(f(one,s(s(s(s(f(s(one),s(X1))))))))
| ~ d(f(one,s(s(s(f(s(one),s(X1))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_252]),c_0_244]) ).
cnf(c_0_648,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_641,c_0_6]) ).
cnf(c_0_649,plain,
~ d(f(s(one),f(one,s(s(s(s(one))))))),
inference(spm,[status(thm)],[c_0_642,c_0_6]) ).
cnf(c_0_650,plain,
( d(f(s(one),f(one,s(s(s(s(one)))))))
| ~ d(f(s(one),s(f(one,s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_643,c_0_6]) ).
cnf(c_0_651,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(s(f(s(one),f(one,s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_644,c_0_562]) ).
cnf(c_0_652,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(s(s(s(f(s(one),s(s(s(s(s(s(one)))))))))))) ),
inference(spm,[status(thm)],[c_0_645,c_0_524]) ).
cnf(c_0_653,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(f(one,s(s(s(f(s(one),s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_654,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,f(one,s(f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_648,c_0_13]) ).
cnf(c_0_655,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(f(one,f(one,s(s(s(s(s(s(one))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_109]),c_0_94]),c_0_104]) ).
cnf(c_0_656,plain,
~ d(f(s(one),s(f(one,s(s(s(one))))))),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_657,plain,
( d(f(s(one),s(f(one,s(s(s(one)))))))
| ~ d(s(f(s(one),f(one,s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_651,c_0_6]) ).
cnf(c_0_658,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(s(f(s(one),s(s(s(s(s(s(one)))))))))) ),
inference(spm,[status(thm)],[c_0_652,c_0_537]) ).
cnf(c_0_659,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(s(s(s(s(f(s(one),s(s(s(s(s(one)))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_8]),c_0_252]) ).
cnf(c_0_660,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,s(f(one,f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_654,c_0_10]) ).
cnf(c_0_661,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(f(one,s(f(one,s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_655,c_0_10]) ).
cnf(c_0_662,plain,
~ d(s(f(s(one),f(one,s(s(s(one))))))),
inference(spm,[status(thm)],[c_0_656,c_0_657]) ).
cnf(c_0_663,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(s(f(s(one),s(s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_658,c_0_6]) ).
cnf(c_0_664,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(s(s(s(f(s(one),s(s(s(s(s(one))))))))))) ),
inference(spm,[status(thm)],[c_0_659,c_0_6]) ).
cnf(c_0_665,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(f(one,f(one,f(one,s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_660,c_0_8]) ).
cnf(c_0_666,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(s(f(one,f(one,s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_661,c_0_8]) ).
cnf(c_0_667,plain,
~ d(f(s(one),f(one,s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_662,c_0_6]) ).
cnf(c_0_668,plain,
( d(f(s(one),f(one,s(s(s(one))))))
| ~ d(f(s(one),s(s(s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_663,c_0_6]) ).
cnf(c_0_669,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(s(f(s(one),s(s(s(s(s(one))))))))) ),
inference(spm,[status(thm)],[c_0_664,c_0_537]) ).
cnf(c_0_670,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(f(one,f(one,f(one,s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_665,c_0_6]) ).
cnf(c_0_671,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(f(one,f(one,s(s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_666,c_0_6]) ).
cnf(c_0_672,plain,
~ d(f(s(one),s(s(s(s(s(s(one)))))))),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_673,plain,
( d(f(s(one),s(s(s(s(s(s(one))))))))
| ~ d(s(f(s(one),s(s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_669,c_0_6]) ).
cnf(c_0_674,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(s(s(s(f(s(one),s(s(s(s(one)))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_13]),c_0_251]),c_0_252]) ).
cnf(c_0_675,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(f(one,s(f(one,s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_671,c_0_10]) ).
cnf(c_0_676,plain,
~ d(s(f(s(one),s(s(s(s(s(one)))))))),
inference(spm,[status(thm)],[c_0_672,c_0_673]) ).
cnf(c_0_677,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(s(f(s(one),s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_674,c_0_537]) ).
cnf(c_0_678,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(s(f(one,f(one,s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_675,c_0_8]) ).
cnf(c_0_679,plain,
~ d(f(s(one),s(s(s(s(s(one))))))),
inference(spm,[status(thm)],[c_0_676,c_0_6]) ).
cnf(c_0_680,plain,
( d(f(s(one),s(s(s(s(s(one)))))))
| ~ d(s(f(s(one),s(s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_677,c_0_6]) ).
cnf(c_0_681,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(f(one,f(one,s(s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_678,c_0_6]) ).
cnf(c_0_682,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(f(one,s(s(s(s(s(s(one)))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_109]),c_0_104]) ).
cnf(c_0_683,plain,
~ d(s(f(s(one),s(s(s(s(one))))))),
inference(spm,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_684,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(s(s(f(s(one),s(s(s(one))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_10]),c_0_251]) ).
cnf(c_0_685,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(s(f(one,s(s(s(s(s(one)))))))) ),
inference(spm,[status(thm)],[c_0_682,c_0_8]) ).
cnf(c_0_686,plain,
~ d(f(s(one),s(s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_683,c_0_6]) ).
cnf(c_0_687,plain,
( d(f(s(one),s(s(s(s(one))))))
| ~ d(s(f(s(one),s(s(s(one)))))) ),
inference(spm,[status(thm)],[c_0_684,c_0_6]) ).
cnf(c_0_688,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(f(one,s(s(s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_685,c_0_6]) ).
cnf(c_0_689,plain,
~ d(s(f(s(one),s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_690,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(s(f(one,s(s(s(s(one))))))) ),
inference(spm,[status(thm)],[c_0_688,c_0_8]) ).
cnf(c_0_691,plain,
~ d(f(s(one),s(s(s(one))))),
inference(spm,[status(thm)],[c_0_689,c_0_6]) ).
cnf(c_0_692,plain,
( d(f(s(one),s(s(s(one)))))
| ~ d(f(one,s(s(s(s(one)))))) ),
inference(spm,[status(thm)],[c_0_690,c_0_6]) ).
cnf(c_0_693,plain,
~ d(f(one,s(s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_691,c_0_692]) ).
cnf(c_0_694,plain,
~ d(s(f(one,s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_693,c_0_8]) ).
cnf(c_0_695,plain,
~ d(f(one,s(s(s(one))))),
inference(spm,[status(thm)],[c_0_694,c_0_6]) ).
cnf(c_0_696,plain,
( d(f(one,s(s(s(one)))))
| ~ d(s(s(s(s(s(one)))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_101]),c_0_95]),c_0_104]) ).
cnf(c_0_697,plain,
~ d(s(s(s(s(s(one)))))),
inference(spm,[status(thm)],[c_0_695,c_0_696]) ).
cnf(c_0_698,plain,
~ d(s(s(s(s(one))))),
inference(spm,[status(thm)],[c_0_697,c_0_6]) ).
cnf(c_0_699,plain,
~ d(s(s(s(one)))),
inference(spm,[status(thm)],[c_0_698,c_0_6]) ).
cnf(c_0_700,plain,
~ d(s(s(one))),
inference(spm,[status(thm)],[c_0_699,c_0_6]) ).
cnf(c_0_701,plain,
~ d(s(one)),
inference(spm,[status(thm)],[c_0_700,c_0_6]) ).
cnf(c_0_702,axiom,
d(one),
ax4 ).
cnf(c_0_703,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_6]),c_0_702])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO038-1.003.004 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 06:28:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 42.03/42.11 % Version : CSE_E---1.5
% 42.03/42.11 % Problem : theBenchmark.p
% 42.03/42.11 % Proof found
% 42.03/42.11 % SZS status Theorem for theBenchmark.p
% 42.03/42.11 % SZS output start Proof
% See solution above
% 42.15/42.14 % Total time : 41.537000 s
% 42.15/42.14 % SZS output end Proof
% 42.15/42.14 % Total time : 41.541000 s
%------------------------------------------------------------------------------