TSTP Solution File: LCL929-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL929-1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 : Thu Aug 31 07:00:13 EDT 2023
% Result : Unsatisfiable 13.82s 13.88s
% Output : CNFRefutation 13.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 12
% Syntax : Number of formulae : 201 ( 44 unt; 5 typ; 0 def)
% Number of atoms : 413 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 436 ( 219 ~; 217 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 605 ( 19 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
i: ( $i * $i ) > $i ).
tff(decl_23,type,
p: $i > $o ).
tff(decl_24,type,
f: ( $i * $i ) > $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
cnf(modus_ponens,axiom,
( p(X2)
| ~ p(i(X1,X2))
| ~ p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).
cnf(axBp,axiom,
p(i(i(X1,X2),i(i(X2,X3),i(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axBp) ).
cnf(resid2,axiom,
( p(i(f(X1,X2),X3))
| ~ p(i(X1,i(X2,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',resid2) ).
cnf(axI,axiom,
p(i(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axI) ).
cnf(axL,axiom,
p(i(i(i(X1,X2),X2),i(i(X2,X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axL) ).
cnf(resid1,axiom,
( p(i(X1,i(X2,X3)))
| ~ p(i(f(X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',resid1) ).
cnf(axK,negated_conjecture,
~ p(i(a,i(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axK) ).
cnf(c_0_7,axiom,
( p(X2)
| ~ p(i(X1,X2))
| ~ p(X1) ),
modus_ponens ).
cnf(c_0_8,axiom,
p(i(i(X1,X2),i(i(X2,X3),i(X1,X3)))),
axBp ).
cnf(c_0_9,plain,
( p(i(i(X1,X2),i(X3,X2)))
| ~ p(i(X3,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( p(i(X1,X2))
| ~ p(i(X3,X2))
| ~ p(i(X1,X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,plain,
( p(i(X1,i(X2,X3)))
| ~ p(i(X1,i(X4,X3)))
| ~ p(i(X2,X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_12,plain,
( p(i(i(X1,X2),i(X3,X2)))
| ~ p(i(X3,X4))
| ~ p(i(X4,X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_13,axiom,
( p(i(f(X1,X2),X3))
| ~ p(i(X1,i(X2,X3))) ),
resid2 ).
cnf(c_0_14,plain,
( p(i(i(X1,X2),i(f(X3,X4),X2)))
| ~ p(i(X3,i(X4,X5)))
| ~ p(i(X5,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
p(i(X1,X1)),
axI ).
cnf(c_0_16,axiom,
p(i(i(i(X1,X2),X2),i(i(X2,X1),X1))),
axL ).
cnf(c_0_17,plain,
( p(i(i(X1,X2),i(f(i(X3,X4),X3),X2)))
| ~ p(i(X4,X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( p(i(X1,i(X2,X3)))
| ~ p(i(f(X1,X2),X3)) ),
resid1 ).
cnf(c_0_19,plain,
( p(i(X1,i(i(X2,X3),X3)))
| ~ p(i(X1,i(i(X3,X2),X2))) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_20,plain,
( p(i(f(i(X1,X2),X1),X3))
| ~ p(i(X4,X3))
| ~ p(i(X2,X4)) ),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_21,plain,
p(i(X1,i(X2,f(X1,X2)))),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_22,plain,
( p(i(i(X1,X2),i(i(X2,X3),X3)))
| ~ p(i(i(X3,X2),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_23,plain,
( p(i(f(i(X1,X2),X1),X3))
| ~ p(i(X2,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,plain,
( p(i(i(X1,X2),i(X3,X2)))
| ~ p(i(i(X4,f(X3,X4)),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_25,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(X2,X1),X3))
| ~ p(i(X3,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_26,plain,
( p(i(i(X1,X2),i(X1,X3)))
| ~ p(i(X2,X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_27,plain,
p(i(i(i(X1,f(X2,X1)),X3),i(X2,X3))),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_28,plain,
( p(X1)
| ~ p(i(X2,i(X3,X1)))
| ~ p(f(X2,X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_29,plain,
( p(i(X1,f(X2,X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_30,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(X2,X3),X1))
| ~ p(i(X1,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( p(i(X1,i(X2,X3)))
| ~ p(i(X1,i(i(X4,f(X2,X4)),X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_27]) ).
cnf(c_0_32,plain,
( p(i(X1,i(i(X2,X3),i(X4,X3))))
| ~ p(i(X1,i(X4,X2))) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_33,plain,
( p(i(X1,i(X2,f(X3,X2))))
| ~ p(i(X1,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_34,plain,
( p(i(i(X1,X2),i(i(X3,X4),X2)))
| ~ p(i(i(i(X4,X5),i(X3,X5)),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_35,plain,
( p(i(f(X1,X2),i(i(X3,X4),X4)))
| ~ p(i(X1,i(X2,i(i(X4,X3),X3)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_36,plain,
( p(i(X1,i(X2,X3)))
| ~ p(i(X1,i(X2,X4)))
| ~ p(i(X4,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_26]) ).
cnf(c_0_37,plain,
( p(X1)
| ~ p(f(i(X2,X1),X3))
| ~ p(i(X3,X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_38,plain,
( p(f(X1,X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_29]) ).
cnf(c_0_39,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(i(X1,X2),X3))
| ~ p(i(X3,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_40,plain,
( p(i(X1,i(X2,i(X3,f(X2,X4)))))
| ~ p(i(X1,i(X3,X4))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( p(i(X1,i(X2,f(X3,X2))))
| ~ p(i(X1,X4))
| ~ p(i(X4,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_33]) ).
cnf(c_0_42,plain,
( p(i(i(X1,X2),i(i(i(X3,X4),X4),X2)))
| ~ p(i(i(i(X4,X3),X3),X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_43,plain,
p(i(i(i(i(X1,X2),i(X3,X2)),X4),i(i(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_44,plain,
p(i(f(i(i(X1,X2),X3),i(X3,X2)),i(i(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_35,c_0_8]) ).
cnf(c_0_45,plain,
( p(i(i(X1,X2),i(X1,X3)))
| ~ p(i(X4,X3))
| ~ p(i(X2,X4)) ),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_46,plain,
( p(X1)
| ~ p(i(X2,X3))
| ~ p(i(X3,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
( p(i(i(X1,X2),i(i(X3,X4),X2)))
| ~ p(i(i(X3,X5),X1))
| ~ p(i(X4,X5)) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_48,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(f(X3,i(X1,X2)),X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_49,plain,
( p(i(X1,f(X2,X3)))
| ~ p(i(X4,i(X1,X3)))
| ~ p(f(X4,X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_50,plain,
( p(i(X1,i(X2,f(X3,X2))))
| ~ p(i(i(X4,f(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_51,plain,
p(i(i(i(i(X1,X2),X2),X3),i(i(i(X2,X1),X1),X3))),
inference(spm,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_52,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(i(X2,X4),i(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_43]) ).
cnf(c_0_53,plain,
p(i(i(i(X1,X2),X3),i(i(X3,X2),i(i(X2,X1),X1)))),
inference(spm,[status(thm)],[c_0_18,c_0_44]) ).
cnf(c_0_54,plain,
( p(i(i(X1,X2),i(X1,X3)))
| ~ p(i(X2,f(X4,X5)))
| ~ p(i(X4,i(X5,X3))) ),
inference(spm,[status(thm)],[c_0_45,c_0_13]) ).
cnf(c_0_55,plain,
( p(X1)
| ~ p(i(i(i(X2,X3),X3),X1))
| ~ p(i(i(X3,X2),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_16]) ).
cnf(c_0_56,plain,
( p(i(i(i(X1,X2),X3),i(i(X1,X4),X3)))
| ~ p(i(X4,X2)) ),
inference(spm,[status(thm)],[c_0_47,c_0_15]) ).
cnf(c_0_57,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(X3,i(i(X1,X2),X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_13]) ).
cnf(c_0_58,plain,
( p(i(i(X1,X2),f(X3,i(X4,X2))))
| ~ p(f(i(X4,X1),X3)) ),
inference(spm,[status(thm)],[c_0_49,c_0_8]) ).
cnf(c_0_59,plain,
p(i(X1,i(X2,f(i(X3,f(X1,X3)),X2)))),
inference(spm,[status(thm)],[c_0_50,c_0_15]) ).
cnf(c_0_60,plain,
( p(X1)
| ~ p(i(f(X2,X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_29]) ).
cnf(c_0_61,plain,
( p(i(i(i(X1,X2),X2),X3))
| ~ p(i(i(i(X2,X1),X1),X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_51]) ).
cnf(c_0_62,plain,
p(i(i(X1,X2),i(i(i(X1,X3),X3),i(i(X3,X2),X2)))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
( p(i(i(X1,X2),i(X1,X3)))
| ~ p(i(X4,i(X2,X3)))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_64,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(X3,X1),X1))
| ~ p(i(X2,X3)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_16]) ).
cnf(c_0_66,plain,
( p(f(X1,i(X2,X3)))
| ~ p(f(i(X2,X4),X1))
| ~ p(i(X4,X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_58]) ).
cnf(c_0_67,plain,
( p(f(i(X1,f(X2,X1)),X3))
| ~ p(f(X2,X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_59]) ).
cnf(c_0_68,plain,
( p(i(i(X1,X2),i(X3,X2)))
| ~ p(i(X4,i(X3,X1)))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_7,c_0_32]) ).
cnf(c_0_69,plain,
( p(X1)
| ~ p(i(X2,i(X3,X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_13]) ).
cnf(c_0_70,plain,
p(i(i(i(X1,X2),X2),i(i(i(i(X2,X1),X3),X3),i(i(X3,X1),X1)))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
( p(i(i(X1,i(X2,X3)),i(X1,X3)))
| ~ p(i(i(X3,X2),X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_16]) ).
cnf(c_0_72,plain,
( p(i(i(X1,X2),i(X1,X3)))
| ~ p(i(X2,i(X1,X3)))
| ~ p(i(i(X3,X1),X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( p(i(i(X1,X2),i(i(X2,X3),X4)))
| ~ p(i(i(X1,X3),X4)) ),
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
cnf(c_0_74,plain,
( p(f(X1,i(X2,X3)))
| ~ p(i(f(X4,X2),X3))
| ~ p(f(X4,X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
( p(i(i(i(X1,X2),X3),i(i(X4,X2),X3)))
| ~ p(i(X1,X4)) ),
inference(spm,[status(thm)],[c_0_68,c_0_8]) ).
cnf(c_0_76,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(i(X3,X2),X1),X1))
| ~ p(i(i(X2,X3),X3)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
( p(i(i(X1,i(i(X2,X3),X2)),i(X1,X2)))
| ~ p(i(i(X3,X2),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_15])]) ).
cnf(c_0_78,plain,
( p(i(i(X1,X2),i(i(X3,X2),X2)))
| ~ p(i(i(X1,X3),X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_73]) ).
cnf(c_0_79,plain,
( p(f(X1,i(X2,X3)))
| ~ p(i(X4,i(X2,X3)))
| ~ p(f(X4,X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_13]) ).
cnf(c_0_80,plain,
( p(f(X1,X2))
| ~ p(i(X3,X2))
| ~ p(f(X1,X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_67]) ).
cnf(c_0_81,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(X4,X2),X3))
| ~ p(i(X4,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_75]) ).
cnf(c_0_82,plain,
( p(i(i(i(i(X1,X2),X1),X2),X2))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( p(i(i(i(X1,X2),X3),i(i(X1,X3),X3)))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_84,plain,
( p(X1)
| ~ p(i(X2,i(X3,X4)))
| ~ p(i(X4,X1))
| ~ p(f(X2,X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_13]) ).
cnf(c_0_85,plain,
( p(f(X1,i(X2,X3)))
| ~ p(f(i(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_15]) ).
cnf(c_0_86,plain,
( p(f(X1,i(X2,f(X3,X2))))
| ~ p(f(X1,X3)) ),
inference(spm,[status(thm)],[c_0_80,c_0_21]) ).
cnf(c_0_87,plain,
( p(i(X1,f(X2,X1)))
| ~ p(i(X3,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_33]) ).
cnf(c_0_88,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(i(X3,X2),X3),X1))
| ~ p(i(i(X2,X3),X3)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,plain,
( p(i(i(i(X1,X2),X3),i(i(X3,X1),X1)))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_83]) ).
cnf(c_0_90,plain,
( p(X1)
| ~ p(f(i(X2,X3),X2))
| ~ p(i(X3,X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_15]) ).
cnf(c_0_91,plain,
( p(f(i(X1,f(X2,X1)),i(X3,X4)))
| ~ p(f(i(X3,X4),X2)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( p(i(X1,f(i(X2,X3),X1)))
| ~ p(i(X4,X3))
| ~ p(i(X2,X4)) ),
inference(spm,[status(thm)],[c_0_87,c_0_9]) ).
cnf(c_0_93,plain,
( p(i(i(i(i(X1,X1),X1),X2),X2))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( p(X1)
| ~ p(i(f(X2,i(X3,X4)),X1))
| ~ p(f(i(X3,X4),X2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_95,plain,
( p(i(X1,f(i(X2,i(X3,X4)),X1)))
| ~ p(i(X2,i(X3,X5)))
| ~ p(i(X5,X4)) ),
inference(spm,[status(thm)],[c_0_92,c_0_26]) ).
cnf(c_0_96,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(i(X1,X3),i(X2,X3)),X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_8]) ).
cnf(c_0_97,plain,
p(i(i(i(i(i(X1,X2),X2),i(i(X2,X3),X3)),X4),i(i(X1,X3),X4))),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_98,plain,
( p(i(i(i(i(X1,X1),X1),X2),i(i(X3,X2),X2)))
| ~ p(i(i(X3,X1),X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_93]) ).
cnf(c_0_99,plain,
( p(X1)
| ~ p(i(X2,i(i(X3,X4),X1)))
| ~ p(f(i(X3,X4),X2)) ),
inference(spm,[status(thm)],[c_0_94,c_0_13]) ).
cnf(c_0_100,plain,
( p(i(X1,f(i(i(X2,X3),i(X2,X4)),X1)))
| ~ p(i(X3,X4)) ),
inference(spm,[status(thm)],[c_0_95,c_0_15]) ).
cnf(c_0_101,plain,
p(i(i(i(i(i(X1,X2),X2),i(X3,X1)),X4),i(i(X3,i(X2,X1)),X4))),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_102,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(i(X2,i(X1,X2)),i(X1,X2))) ),
inference(spm,[status(thm)],[c_0_96,c_0_65]) ).
cnf(c_0_103,plain,
( p(i(i(X1,i(X2,X1)),i(X2,X1)))
| ~ p(i(i(i(X1,X2),X2),X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_104,plain,
p(i(i(i(i(X1,X2),i(X3,X2)),X1),i(i(X1,X3),X3))),
inference(spm,[status(thm)],[c_0_19,c_0_43]) ).
cnf(c_0_105,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(i(i(X1,X4),X4),i(i(X4,X2),X2)),X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_97]) ).
cnf(c_0_106,plain,
( p(i(i(i(i(X1,X1),X1),X2),i(i(X2,X3),X3)))
| ~ p(i(i(X3,X1),X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_98]) ).
cnf(c_0_107,plain,
( p(X1)
| ~ p(f(i(X2,X3),i(i(X2,X3),X1))) ),
inference(spm,[status(thm)],[c_0_99,c_0_15]) ).
cnf(c_0_108,plain,
( p(f(i(i(X1,X2),i(X1,X3)),X4))
| ~ p(i(X2,X3))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_7,c_0_100]) ).
cnf(c_0_109,plain,
( p(i(i(X1,i(X2,X3)),X4))
| ~ p(i(i(i(i(X3,X2),X2),i(X1,X3)),X4)) ),
inference(spm,[status(thm)],[c_0_7,c_0_101]) ).
cnf(c_0_110,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(i(i(X2,X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
( p(i(X1,i(i(X2,X3),X3)))
| ~ p(i(X1,i(i(i(X2,X4),i(X3,X4)),X2))) ),
inference(spm,[status(thm)],[c_0_10,c_0_104]) ).
cnf(c_0_112,plain,
( p(i(i(X1,X2),i(i(i(i(X1,X2),X2),X3),X3)))
| ~ p(i(i(X3,X1),X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_113,plain,
( p(X1)
| ~ p(i(i(i(X2,X3),i(X2,X4)),X1))
| ~ p(i(X3,X4)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( p(i(i(X1,i(X2,X3)),i(i(i(X3,X2),X2),X4)))
| ~ p(i(i(X1,X3),X4)) ),
inference(spm,[status(thm)],[c_0_109,c_0_26]) ).
cnf(c_0_115,plain,
( p(i(i(i(X1,i(X2,X1)),X1),X1))
| ~ p(i(X2,i(i(X2,X1),X1))) ),
inference(spm,[status(thm)],[c_0_110,c_0_9]) ).
cnf(c_0_116,plain,
( p(i(i(X1,X2),i(i(i(X1,X2),X1),X1)))
| ~ p(i(i(i(X1,X2),X1),X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,plain,
( p(i(i(i(X1,X2),X2),X3))
| ~ p(i(i(i(X2,X4),X1),X3))
| ~ p(i(X4,X1)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( p(i(i(i(X1,i(i(X1,X2),X1)),X1),X1))
| ~ p(i(i(i(X1,X2),X1),X1)) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( p(X1)
| ~ p(i(i(i(X2,X3),i(X4,X3)),X1))
| ~ p(i(X4,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_8]) ).
cnf(c_0_120,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(i(X1,X2),X1),X1)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( p(i(i(i(X1,X2),X3),X3))
| ~ p(i(i(X2,X3),X3))
| ~ p(i(X1,X3)) ),
inference(spm,[status(thm)],[c_0_119,c_0_89]) ).
cnf(c_0_122,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(X2,X1),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_15])]) ).
cnf(c_0_123,plain,
( p(i(i(X1,i(X1,X2)),i(X1,X2)))
| ~ p(i(i(X2,i(X1,X2)),i(X1,X2))) ),
inference(spm,[status(thm)],[c_0_52,c_0_65]) ).
cnf(c_0_124,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_122,c_0_93]) ).
cnf(c_0_125,plain,
( p(i(i(X1,i(X1,X2)),i(X1,X2)))
| ~ p(i(i(i(X2,X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_123,c_0_103]) ).
cnf(c_0_126,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(i(X2,X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_127,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(X2,i(i(X2,X1),X1))) ),
inference(spm,[status(thm)],[c_0_126,c_0_9]) ).
cnf(c_0_128,plain,
( p(i(i(i(X1,X2),X2),i(i(X3,X1),X1)))
| ~ p(i(X2,X3)) ),
inference(spm,[status(thm)],[c_0_61,c_0_75]) ).
cnf(c_0_129,plain,
p(i(i(X1,i(X2,X3)),i(i(X4,X2),i(X1,i(X4,X3))))),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_130,plain,
p(i(i(i(i(f(X1,X2),X3),i(X2,X3)),X4),i(X1,X4))),
inference(spm,[status(thm)],[c_0_24,c_0_8]) ).
cnf(c_0_131,plain,
( p(i(i(X1,X2),i(i(X3,X1),X2)))
| ~ p(i(i(X1,X3),X3)) ),
inference(spm,[status(thm)],[c_0_68,c_0_16]) ).
cnf(c_0_132,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_133,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(X2,i(i(X1,X2),X2))) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,plain,
( p(i(i(X1,i(X2,X3)),i(X4,i(X1,i(X5,X3)))))
| ~ p(i(X4,i(X5,X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_129]) ).
cnf(c_0_135,plain,
p(i(i(X1,i(f(X2,X3),X4)),i(X2,i(X1,i(X3,X4))))),
inference(spm,[status(thm)],[c_0_52,c_0_130]) ).
cnf(c_0_136,plain,
( p(i(i(i(X1,X2),X3),i(i(X1,i(X1,X2)),X3)))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_65]) ).
cnf(c_0_137,plain,
( p(i(i(i(X1,X2),X1),X1))
| ~ p(i(i(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_132,c_0_26]) ).
cnf(c_0_138,plain,
( p(i(i(X1,i(X1,X2)),i(X1,X2)))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_132,c_0_65]) ).
cnf(c_0_139,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(X1,i(X2,i(X3,X4))),i(X3,X3))) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_140,plain,
( p(i(i(X1,i(f(X2,X3),X4)),i(X2,X5)))
| ~ p(i(i(X1,i(X3,X4)),X5)) ),
inference(spm,[status(thm)],[c_0_36,c_0_135]) ).
cnf(c_0_141,plain,
( p(i(i(X1,i(X1,X2)),X2))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_136]) ).
cnf(c_0_142,plain,
( p(i(i(i(X1,i(X1,X2)),X1),X1))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(X1,i(X2,i(X3,X4))),X3)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,plain,
( p(i(i(X1,X2),i(X1,i(X3,X4))))
| ~ p(i(X2,i(X5,X4)))
| ~ p(i(X3,X5)) ),
inference(spm,[status(thm)],[c_0_45,c_0_9]) ).
cnf(c_0_145,plain,
p(i(i(X1,X2),i(X3,i(X1,f(X3,X2))))),
inference(spm,[status(thm)],[c_0_31,c_0_8]) ).
cnf(c_0_146,plain,
( p(i(X1,X2))
| ~ p(i(X3,i(X1,X4)))
| ~ p(i(X4,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_32]) ).
cnf(c_0_147,plain,
( p(i(X1,X2))
| ~ p(i(X1,i(X3,i(X3,X2))))
| ~ p(i(i(X2,X3),X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_141]) ).
cnf(c_0_148,plain,
( p(i(i(X1,i(X1,i(X1,X2))),i(X1,i(X1,X2))))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_132,c_0_142]) ).
cnf(c_0_149,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(i(X2,i(i(X1,X3),X4)),X3)) ),
inference(spm,[status(thm)],[c_0_143,c_0_26]) ).
cnf(c_0_150,plain,
( p(i(i(X1,i(X2,X3)),i(X1,i(X4,X3))))
| ~ p(i(X4,X2)) ),
inference(spm,[status(thm)],[c_0_144,c_0_15]) ).
cnf(c_0_151,plain,
p(i(i(i(X1,i(X2,f(X1,f(X3,X2)))),X4),i(X3,X4))),
inference(spm,[status(thm)],[c_0_24,c_0_145]) ).
cnf(c_0_152,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(X4,i(X1,X5)),X3))
| ~ p(i(X4,i(X2,X5))) ),
inference(spm,[status(thm)],[c_0_146,c_0_129]) ).
cnf(c_0_153,plain,
( p(i(i(X1,i(X1,i(X1,X2))),X2))
| ~ p(i(i(X2,X1),X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
( p(i(i(i(X1,X1),X1),X1))
| ~ p(i(X2,i(X1,i(X3,i(X2,X4))))) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,plain,
p(i(i(X1,X2),i(X3,i(X1,i(X4,f(X2,f(X3,X4))))))),
inference(spm,[status(thm)],[c_0_52,c_0_151]) ).
cnf(c_0_156,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(X1,i(X2,i(X1,X3))))
| ~ p(i(i(X3,X1),X1)) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_157,plain,
p(i(i(i(X1,X1),X1),X1)),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_158,plain,
( p(i(i(X1,X2),X2))
| ~ p(i(i(i(X1,X3),X4),X1))
| ~ p(i(i(X2,X3),X4)) ),
inference(spm,[status(thm)],[c_0_25,c_0_73]) ).
cnf(c_0_159,plain,
p(i(i(i(i(i(X1,X2),X3),i(i(X4,X2),X3)),X5),i(i(X1,X4),X5))),
inference(spm,[status(thm)],[c_0_34,c_0_8]) ).
cnf(c_0_160,plain,
( p(i(i(i(X1,X2),i(i(X1,X1),X1)),X2))
| ~ p(i(i(X2,i(X1,X2)),i(X1,X2))) ),
inference(spm,[status(thm)],[c_0_156,c_0_62]) ).
cnf(c_0_161,plain,
p(i(i(X1,i(X1,X1)),i(X1,X1))),
inference(spm,[status(thm)],[c_0_132,c_0_157]) ).
cnf(c_0_162,plain,
( p(i(i(i(i(X1,X2),X3),X4),X4))
| ~ p(i(i(X4,i(i(X2,X2),X3)),X3)) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,plain,
p(i(i(i(X1,X1),i(i(X1,X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,plain,
( p(i(X1,X2))
| ~ p(i(i(X3,f(X1,X3)),X2)) ),
inference(spm,[status(thm)],[c_0_7,c_0_27]) ).
cnf(c_0_165,plain,
p(i(i(i(i(X1,X2),X2),i(X2,X2)),i(X2,X2))),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,plain,
p(i(X1,i(i(f(X1,i(X2,X3)),X3),i(i(X3,X2),X2)))),
inference(spm,[status(thm)],[c_0_164,c_0_53]) ).
cnf(c_0_167,plain,
( p(i(i(X1,X2),X3))
| ~ p(i(i(X1,X4),X3))
| ~ p(i(X2,X4)) ),
inference(spm,[status(thm)],[c_0_7,c_0_56]) ).
cnf(c_0_168,plain,
p(i(i(X1,i(X2,X1)),i(X1,X1))),
inference(spm,[status(thm)],[c_0_52,c_0_165]) ).
cnf(c_0_169,plain,
( p(i(X1,i(i(f(X1,i(X2,X3)),X3),X4)))
| ~ p(i(i(i(X3,X2),X2),X4)) ),
inference(spm,[status(thm)],[c_0_36,c_0_166]) ).
cnf(c_0_170,plain,
( p(i(i(X1,X2),i(X1,X1)))
| ~ p(i(X2,i(X3,X1))) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_171,plain,
p(i(X1,i(i(f(X1,i(X2,X2)),X2),X2))),
inference(spm,[status(thm)],[c_0_169,c_0_157]) ).
cnf(c_0_172,plain,
( p(i(X1,i(i(i(X2,X3),X3),X4)))
| ~ p(i(X1,i(i(i(X3,X2),X2),X4))) ),
inference(spm,[status(thm)],[c_0_10,c_0_51]) ).
cnf(c_0_173,plain,
p(i(i(X1,X2),i(X1,X1))),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_174,plain,
p(i(i(X1,X2),i(i(i(X3,X1),X1),i(i(X3,X2),X2)))),
inference(spm,[status(thm)],[c_0_172,c_0_62]) ).
cnf(c_0_175,plain,
( p(i(i(i(X1,X2),X1),X2))
| ~ p(i(i(X2,i(X1,X2)),i(X1,X2))) ),
inference(spm,[status(thm)],[c_0_52,c_0_141]) ).
cnf(c_0_176,plain,
( p(i(X1,X2))
| ~ p(i(i(i(X1,X2),X2),X2))
| ~ p(i(X1,i(X2,X2))) ),
inference(spm,[status(thm)],[c_0_119,c_0_93]) ).
cnf(c_0_177,plain,
p(i(X1,i(X2,X2))),
inference(spm,[status(thm)],[c_0_164,c_0_173]) ).
cnf(c_0_178,plain,
( p(i(i(i(X1,X2),X2),i(X3,X1)))
| ~ p(i(X3,i(X2,X1))) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_179,plain,
( p(i(i(X1,X2),i(i(i(X3,X1),X1),X4)))
| ~ p(i(i(i(X3,X2),X2),X4)) ),
inference(spm,[status(thm)],[c_0_36,c_0_174]) ).
cnf(c_0_180,plain,
( p(i(i(i(X1,X2),X1),X2))
| ~ p(i(i(i(X2,X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_175,c_0_103]) ).
cnf(c_0_181,plain,
( p(i(X1,X2))
| ~ p(i(i(i(X1,X2),X2),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).
cnf(c_0_182,plain,
( p(i(i(i(X1,X2),X2),i(i(X1,X3),X3)))
| ~ p(i(i(X3,X1),i(X2,X1))) ),
inference(spm,[status(thm)],[c_0_19,c_0_178]) ).
cnf(c_0_183,plain,
p(i(i(X1,X2),i(i(i(X2,X1),X1),X2))),
inference(spm,[status(thm)],[c_0_179,c_0_157]) ).
cnf(c_0_184,plain,
( p(i(i(X1,X2),i(X3,i(X1,X4))))
| ~ p(i(X3,i(X2,X4))) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_185,plain,
( p(X1)
| ~ p(i(i(X1,X2),X2))
| ~ p(i(X3,X1))
| ~ p(i(X2,X3)) ),
inference(spm,[status(thm)],[c_0_69,c_0_128]) ).
cnf(c_0_186,plain,
( p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1)))
| ~ p(i(X2,i(i(X2,X1),X1))) ),
inference(spm,[status(thm)],[c_0_180,c_0_9]) ).
cnf(c_0_187,plain,
p(i(X1,i(i(X1,X2),X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]) ).
cnf(c_0_188,plain,
( p(i(i(X1,X2),i(X3,i(X1,X4))))
| ~ p(i(i(X5,f(X3,X5)),i(X2,X4))) ),
inference(spm,[status(thm)],[c_0_31,c_0_184]) ).
cnf(c_0_189,plain,
( p(X1)
| ~ p(i(i(X1,X2),X3))
| ~ p(i(i(X1,X2),X2))
| ~ p(i(X3,X1)) ),
inference(spm,[status(thm)],[c_0_185,c_0_26]) ).
cnf(c_0_190,plain,
p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_191,plain,
p(i(i(i(X1,i(X2,X1)),X1),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_187])]) ).
cnf(c_0_192,plain,
p(i(i(X1,X2),i(X3,i(X1,X2)))),
inference(spm,[status(thm)],[c_0_188,c_0_177]) ).
cnf(c_0_193,negated_conjecture,
~ p(i(a,i(b,a))),
axK ).
cnf(c_0_194,plain,
p(i(X1,i(X2,X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_192])]) ).
cnf(c_0_195,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL929-1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 19:31:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 13.82/13.88 % Version : CSE_E---1.5
% 13.82/13.88 % Problem : theBenchmark.p
% 13.82/13.88 % Proof found
% 13.82/13.88 % SZS status Theorem for theBenchmark.p
% 13.82/13.88 % SZS output start Proof
% See solution above
% 13.82/13.89 % Total time : 13.304000 s
% 13.82/13.89 % SZS output end Proof
% 13.82/13.89 % Total time : 13.307000 s
%------------------------------------------------------------------------------