TSTP Solution File: GRP755-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP755-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 00:23:37 EDT 2023
% Result : Unsatisfiable 110.52s 110.54s
% Output : CNFRefutation 110.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 17
% Syntax : Number of formulae : 201 ( 62 unt; 7 typ; 0 def)
% Number of atoms : 329 ( 328 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 266 ( 131 ~; 135 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 389 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
unit: $i ).
tff(decl_26,type,
i: $i > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
cnf(f08,axiom,
( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3)
| mult(X1,mult(X3,X2)) = mult(mult(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(f07,axiom,
( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3)
| mult(X1,mult(X2,X3)) = mult(mult(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(goals,negated_conjecture,
i(mult(a,b)) != mult(i(b),i(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(f09,axiom,
i(X1) = ld(X1,unit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(c_0_10,axiom,
( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3)
| mult(X1,mult(X3,X2)) = mult(mult(X1,X2),X3) ),
f08 ).
cnf(c_0_11,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_12,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(X2,X3)) != mult(X1,mult(X3,X2)) ),
inference(ef,[status(thm)],[c_0_10]) ).
cnf(c_0_13,axiom,
( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3)
| mult(X1,mult(X2,X3)) = mult(mult(X1,X3),X2) ),
f07 ).
cnf(c_0_14,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_15,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_16,plain,
( rd(mult(X1,mult(X2,X3)),X2) = mult(X1,X3)
| mult(X1,mult(X3,X2)) != mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,axiom,
mult(unit,X1) = X1,
f06 ).
cnf(c_0_18,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(ef,[status(thm)],[c_0_13]) ).
cnf(c_0_19,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_20,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( rd(mult(X1,X2),X1) = X2
| mult(X2,X1) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_17]) ).
cnf(c_0_22,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,plain,
( rd(mult(X1,X2),X3) = mult(X1,ld(X3,X2))
| mult(X1,mult(ld(X3,X2),X3)) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_24,plain,
( ld(X1,mult(X2,X1)) = X2
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_26,plain,
( rd(mult(X1,mult(X2,X3)),X3) = mult(X1,X2)
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( ld(X1,mult(mult(X2,X1),X2)) = mult(X2,X2)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_21]) ).
cnf(c_0_28,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_29,plain,
( ld(X1,mult(X2,mult(X1,X2))) = mult(X2,X2)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_31,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X3,X2)) != mult(X1,mult(X2,X3)) ),
inference(ef,[status(thm)],[c_0_10]) ).
cnf(c_0_32,plain,
( ld(rd(X1,X2),mult(X2,X1)) = mult(X2,X2)
| mult(X2,rd(X1,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_33,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_34,plain,
( rd(mult(X1,mult(X2,X3)),X3) = mult(X1,X2)
| mult(X1,mult(X3,X2)) != mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_35,plain,
( mult(X1,X2) = mult(X2,X1)
| mult(X2,rd(X1,X2)) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_22]) ).
cnf(c_0_36,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_33]) ).
cnf(c_0_37,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_38,plain,
( mult(mult(X1,X2),X1) = mult(X2,mult(X1,X1))
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_39,plain,
( mult(rd(X1,mult(X2,X3)),X2) = rd(X1,X3)
| mult(rd(X1,mult(X2,X3)),mult(X3,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_40,plain,
( mult(X1,rd(X2,X1)) = X2
| mult(X1,rd(X2,mult(X1,X1))) != rd(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_15]) ).
cnf(c_0_41,plain,
rd(X1,mult(ld(X2,X1),ld(X2,X1))) = rd(X2,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X2))) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_43,plain,
( mult(ld(X1,X2),mult(X1,X1)) = mult(X2,X1)
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_44,plain,
( mult(rd(X1,X2),rd(X2,X3)) = rd(X1,X3)
| mult(rd(X1,X2),mult(X3,rd(X2,X3))) != X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_15]) ).
cnf(c_0_45,plain,
( rd(mult(X1,X2),X3) = mult(X1,rd(X2,X3))
| mult(X1,mult(X3,rd(X2,X3))) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_46,plain,
( mult(ld(X1,X2),X1) = X2
| mult(ld(X1,X2),rd(X1,ld(X1,X2))) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37]),c_0_37]) ).
cnf(c_0_47,plain,
( ld(mult(ld(X1,X2),X1),mult(X2,X1)) = X1
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_49,plain,
( mult(rd(X1,mult(X2,X3)),X3) = rd(X1,X2)
| mult(X3,X2) != mult(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_21]),c_0_15])]) ).
cnf(c_0_50,plain,
( rd(mult(X1,mult(X2,X3)),X2) = mult(X1,X3)
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_51,plain,
( mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1)
| mult(ld(X1,X2),X1) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_11]),c_0_19])]) ).
cnf(c_0_52,plain,
rd(X1,mult(X1,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_53,plain,
( rd(rd(X1,X2),X3) = rd(X1,mult(X2,X3))
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_49]) ).
cnf(c_0_54,plain,
mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_55,plain,
( rd(mult(X1,X2),ld(X2,X1)) = mult(X2,X2)
| mult(ld(X2,X1),X2) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_19])]) ).
cnf(c_0_56,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X2,X3) != mult(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_50]) ).
cnf(c_0_57,plain,
( ld(ld(X1,X2),X2) = X1
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_58,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_20,c_0_52]) ).
cnf(c_0_59,plain,
( rd(X1,mult(X1,X2)) = rd(unit,X2)
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_60,plain,
mult(mult(X1,X2),mult(X2,X2)) = mult(X1,mult(X2,mult(X2,X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_54]),c_0_18])]) ).
cnf(c_0_61,plain,
( rd(mult(X1,mult(X2,X2)),X1) = mult(X2,X2)
| mult(X2,X1) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_24]),c_0_18]) ).
cnf(c_0_62,plain,
( mult(rd(X1,X2),mult(X3,X2)) = mult(X1,X3)
| mult(X2,X3) != mult(X3,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_15]) ).
cnf(c_0_63,plain,
( ld(mult(X1,X1),X1) = rd(unit,X1)
| mult(mult(X1,X1),rd(unit,X1)) != X1 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,axiom,
mult(X1,unit) = X1,
f05 ).
cnf(c_0_65,plain,
( rd(unit,ld(X1,X2)) = rd(X1,X2)
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_59,c_0_19]) ).
cnf(c_0_66,plain,
mult(rd(X1,X2),mult(X2,mult(X2,X2))) = mult(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_15]) ).
cnf(c_0_67,plain,
( mult(rd(X1,mult(X2,X3)),X3) = rd(X1,X2)
| mult(rd(X1,mult(X2,X3)),mult(X3,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_68,plain,
( rd(mult(X1,X2),rd(X1,X2)) = mult(X2,X2)
| mult(X2,rd(X1,X2)) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_15]) ).
cnf(c_0_69,plain,
( ld(mult(X1,X1),X1) = rd(unit,X1)
| mult(X1,rd(unit,X1)) != unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_56]),c_0_15]),c_0_64]),c_0_15])]) ).
cnf(c_0_70,plain,
mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_71,plain,
( rd(X1,mult(X2,X1)) = rd(unit,X2)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_24]) ).
cnf(c_0_72,plain,
ld(rd(X1,X2),mult(X1,mult(X2,X2))) = mult(X2,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_66]) ).
cnf(c_0_73,plain,
( rd(mult(X1,X2),X3) = mult(rd(X1,X3),X2)
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_62]) ).
cnf(c_0_74,plain,
( rd(X1,rd(X2,X3)) = mult(rd(X1,X2),X3)
| mult(rd(X1,X2),mult(X3,rd(X2,X3))) != X1 ),
inference(spm,[status(thm)],[c_0_67,c_0_15]) ).
cnf(c_0_75,plain,
( mult(mult(X1,X1),rd(X2,X1)) = mult(X2,X1)
| mult(X1,rd(X2,X1)) != X2 ),
inference(spm,[status(thm)],[c_0_15,c_0_68]) ).
cnf(c_0_76,plain,
( rd(mult(X1,X2),mult(X1,X1)) = rd(X2,X1)
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
cnf(c_0_77,plain,
( ld(ld(X1,ld(X1,unit)),ld(X1,unit)) = X1
| mult(ld(X1,unit),X1) != unit ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_37]),c_0_70]) ).
cnf(c_0_78,plain,
( mult(rd(unit,X1),X2) = rd(X2,X1)
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_71]) ).
cnf(c_0_79,plain,
( ld(rd(unit,X1),X2) = mult(X2,X1)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_59]) ).
cnf(c_0_80,plain,
ld(rd(unit,X1),mult(X1,X1)) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_17]) ).
cnf(c_0_81,plain,
( mult(rd(X1,mult(X1,X2)),X2) = unit
| mult(X1,mult(X2,X2)) != mult(X2,mult(X1,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_73]),c_0_18]) ).
cnf(c_0_82,plain,
( mult(rd(X1,mult(X2,X3)),X2) = rd(X1,X3)
| mult(X3,X2) != mult(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_21]),c_0_15])]) ).
cnf(c_0_83,plain,
( mult(X1,mult(X1,rd(X2,X1))) = mult(X2,X1)
| mult(X1,rd(X2,X1)) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_75]),c_0_15])]) ).
cnf(c_0_84,plain,
( rd(ld(X1,X2),X1) = rd(X2,mult(X1,X1))
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_19]) ).
cnf(c_0_85,plain,
( rd(ld(X1,unit),X1) = ld(X1,ld(X1,unit))
| mult(ld(X1,unit),X1) != unit ),
inference(spm,[status(thm)],[c_0_37,c_0_77]) ).
cnf(c_0_86,plain,
( ld(rd(unit,X1),rd(X2,X1)) = X2
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_78]) ).
cnf(c_0_87,plain,
( mult(X1,ld(X2,unit)) = ld(X2,X1)
| mult(ld(X2,unit),X1) != mult(X1,ld(X2,unit)) ),
inference(spm,[status(thm)],[c_0_79,c_0_37]) ).
cnf(c_0_88,plain,
( mult(ld(X1,ld(X1,unit)),X1) = ld(X1,unit)
| mult(ld(X1,unit),X1) != unit ),
inference(spm,[status(thm)],[c_0_19,c_0_77]) ).
cnf(c_0_89,plain,
mult(ld(X1,ld(X1,unit)),ld(X1,unit)) = mult(ld(X1,unit),ld(X1,ld(X1,unit))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_70]),c_0_70]) ).
cnf(c_0_90,plain,
mult(ld(X1,unit),ld(X1,ld(X1,unit))) = ld(X1,ld(X1,ld(X1,unit))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_70]),c_0_37]) ).
cnf(c_0_91,plain,
( mult(rd(rd(X1,X2),X1),X2) = unit
| mult(X1,X2) != mult(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_15]),c_0_22]) ).
cnf(c_0_92,plain,
( rd(X1,mult(X2,rd(X1,X2))) = unit
| mult(X2,rd(X1,X2)) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_15]) ).
cnf(c_0_93,plain,
( rd(rd(X1,X2),X3) = rd(X1,mult(X3,X2))
| mult(X2,X3) != mult(X3,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_82]) ).
cnf(c_0_94,plain,
( mult(X1,rd(X2,X1)) = ld(X1,mult(X2,X1))
| mult(X1,rd(X2,X1)) != X2 ),
inference(spm,[status(thm)],[c_0_14,c_0_83]) ).
cnf(c_0_95,plain,
( rd(unit,mult(X1,X1)) = ld(X1,ld(X1,unit))
| mult(ld(X1,unit),X1) != unit ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_96,plain,
( ld(rd(unit,ld(X1,X2)),X1) = X2
| mult(ld(X1,X2),X2) != mult(X2,ld(X1,X2)) ),
inference(spm,[status(thm)],[c_0_86,c_0_37]) ).
cnf(c_0_97,plain,
( ld(X1,ld(ld(X1,unit),ld(ld(X1,unit),unit))) = ld(ld(X1,unit),unit)
| mult(ld(ld(X1,unit),unit),ld(X1,unit)) != unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_19])]) ).
cnf(c_0_98,plain,
mult(ld(X1,ld(X1,unit)),ld(X1,unit)) = ld(X1,ld(X1,ld(X1,unit))),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
( mult(rd(X1,mult(X2,X1)),X2) = unit
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_53]) ).
cnf(c_0_100,plain,
( ld(mult(X1,X2),mult(X1,mult(X3,X2))) = X3
| mult(X1,mult(X2,X3)) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_101,plain,
( mult(X1,rd(ld(X1,X2),X3)) = rd(X2,X3)
| mult(X1,mult(X3,rd(ld(X1,X2),X3))) != X2 ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_102,plain,
( rd(X1,ld(X2,unit)) = mult(X2,X1)
| mult(X1,ld(X2,unit)) != mult(ld(X2,unit),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_37]) ).
cnf(c_0_103,plain,
( rd(X1,mult(ld(X2,X1),X2)) = unit
| mult(ld(X2,X1),X2) != X1 ),
inference(spm,[status(thm)],[c_0_92,c_0_37]) ).
cnf(c_0_104,plain,
( rd(mult(X1,X2),mult(X3,X2)) = rd(X1,X3)
| mult(X2,X3) != mult(X3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_11]) ).
cnf(c_0_105,plain,
( ld(X1,mult(X2,mult(X1,X1))) = mult(X1,X2)
| mult(X1,X2) != mult(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_11]),c_0_18]) ).
cnf(c_0_106,plain,
( ld(ld(X1,ld(X1,unit)),unit) = mult(X1,X1)
| mult(ld(X1,unit),X1) != unit ),
inference(spm,[status(thm)],[c_0_20,c_0_95]) ).
cnf(c_0_107,plain,
( ld(ld(X1,unit),ld(ld(X1,unit),unit)) = ld(ld(X1,unit),X1)
| mult(ld(ld(X1,unit),unit),ld(X1,unit)) != unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_37]),c_0_90]),c_0_98])]) ).
cnf(c_0_108,plain,
( mult(rd(ld(X1,X2),X2),X1) = unit
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_99,c_0_19]) ).
cnf(c_0_109,plain,
( ld(mult(X1,X2),mult(X1,X3)) = rd(X3,X2)
| mult(X1,mult(X2,rd(X3,X2))) != mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_15]) ).
cnf(c_0_110,plain,
( mult(rd(X1,X2),mult(X2,X3)) = mult(X1,X3)
| mult(X3,X2) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_111,plain,
( mult(rd(X1,X2),X3) = mult(X1,rd(X3,X2))
| mult(X2,rd(X3,X2)) != X3 ),
inference(spm,[status(thm)],[c_0_62,c_0_15]) ).
cnf(c_0_112,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_113,plain,
( mult(X1,rd(ld(X1,X2),mult(X3,X4))) = rd(X2,mult(X3,X4))
| mult(X3,mult(rd(ld(X1,X2),mult(X3,X4)),X4)) != mult(X3,mult(X4,rd(ld(X1,X2),mult(X3,X4))))
| mult(X1,mult(X3,mult(rd(ld(X1,X2),mult(X3,X4)),X4))) != X2 ),
inference(spm,[status(thm)],[c_0_101,c_0_12]) ).
cnf(c_0_114,plain,
( ld(mult(X1,X2),X2) = ld(X1,unit)
| mult(X2,ld(X1,unit)) != mult(ld(X1,unit),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_102]) ).
cnf(c_0_115,plain,
( rd(X1,ld(X2,mult(X1,X2))) = unit
| mult(ld(X2,mult(X1,X2)),X2) != mult(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_19])]) ).
cnf(c_0_116,plain,
( rd(X1,ld(X2,X3)) = mult(rd(X1,X3),X2)
| mult(rd(X1,X3),mult(ld(X2,X3),X2)) != X1 ),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_117,plain,
( ld(X1,mult(X2,X1)) = X2
| mult(ld(X1,X2),X1) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_43]),c_0_19]),c_0_19])]) ).
cnf(c_0_118,plain,
( rd(rd(X1,X2),X1) = rd(unit,X2)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_78]) ).
cnf(c_0_119,plain,
( ld(ld(ld(X1,unit),X1),unit) = ld(X1,ld(X1,unit))
| mult(ld(ld(X1,unit),unit),ld(X1,unit)) != unit ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_70]) ).
cnf(c_0_120,plain,
( ld(rd(ld(X1,X2),X2),unit) = X1
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_14,c_0_108]) ).
cnf(c_0_121,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| rd(mult(X1,mult(X3,X2)),X2) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_122,plain,
( mult(rd(X1,mult(X1,X2)),X2) = unit
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_93]) ).
cnf(c_0_123,plain,
( rd(mult(X1,X2),mult(X1,X1)) = rd(X2,X1)
| mult(X1,rd(X2,X1)) != X2 ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_124,plain,
( ld(X1,mult(rd(X1,X2),X3)) = rd(X3,X2)
| mult(X2,rd(X3,X2)) != X3 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_15]),c_0_15]),c_0_111]) ).
cnf(c_0_125,plain,
rd(mult(X1,mult(X2,mult(X2,X2))),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_60]),c_0_18]) ).
cnf(c_0_126,plain,
( rd(mult(X1,X2),ld(X3,X2)) = mult(X1,X3)
| mult(X1,mult(ld(X3,X2),X3)) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_127,plain,
ld(rd(unit,X1),mult(X1,mult(X1,X1))) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_52]),c_0_60]) ).
cnf(c_0_128,plain,
rd(mult(X1,mult(X2,mult(X2,X2))),mult(X2,mult(X2,mult(X2,X2)))) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_60]),c_0_60]),c_0_112]) ).
cnf(c_0_129,plain,
( ld(X1,rd(X2,ld(X1,unit))) = X2
| mult(ld(X1,unit),rd(X2,ld(X1,unit))) != X2 ),
inference(spm,[status(thm)],[c_0_87,c_0_15]) ).
cnf(c_0_130,plain,
( mult(X1,rd(ld(X1,X2),X3)) = rd(X2,X3)
| mult(X3,rd(ld(X1,X2),X3)) != ld(X1,X2) ),
inference(cn,[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_113,c_0_17]),c_0_15]),c_0_17]),c_0_17]),c_0_15]),c_0_17]),c_0_19])]) ).
cnf(c_0_131,plain,
( ld(rd(X1,X2),unit) = ld(X1,X2)
| mult(ld(rd(X1,X2),unit),X2) != mult(X2,ld(rd(X1,X2),unit)) ),
inference(spm,[status(thm)],[c_0_114,c_0_15]) ).
cnf(c_0_132,plain,
( rd(rd(X1,X2),ld(X2,X1)) = unit
| mult(ld(X2,X1),X2) != X1 ),
inference(spm,[status(thm)],[c_0_115,c_0_15]) ).
cnf(c_0_133,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_64]) ).
cnf(c_0_134,plain,
( mult(rd(X1,mult(X2,X3)),X3) = rd(X1,X2)
| mult(ld(X3,X2),X3) != X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_15])]) ).
cnf(c_0_135,plain,
( rd(unit,ld(X1,X2)) = rd(X1,X2)
| mult(ld(X1,X2),X2) != mult(X2,ld(X1,X2)) ),
inference(spm,[status(thm)],[c_0_118,c_0_37]) ).
cnf(c_0_136,plain,
( ld(ld(X1,rd(unit,X1)),unit) = mult(X1,X1)
| mult(ld(X1,unit),X1) != unit ),
inference(cn,[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_119,c_0_79]),c_0_17]),c_0_17]),c_0_58]),c_0_17]),c_0_17]),c_0_64]),c_0_17])]) ).
cnf(c_0_137,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_15]) ).
cnf(c_0_138,plain,
( mult(rd(X1,X2),ld(X3,X2)) = rd(X1,X3)
| mult(ld(X3,X2),X3) != X2 ),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_139,plain,
mult(rd(X1,mult(X2,X2)),mult(X2,mult(X2,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_33]),c_0_22]) ).
cnf(c_0_140,plain,
( rd(unit,X1) = ld(X1,unit)
| mult(mult(X1,mult(X1,X1)),rd(unit,X1)) != mult(X1,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_80]),c_0_11]) ).
cnf(c_0_141,plain,
( mult(mult(X1,X1),X2) = mult(X1,mult(X2,X1))
| mult(X2,mult(X1,X1)) != mult(X1,mult(X2,X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_121]),c_0_18]),c_0_56]) ).
cnf(c_0_142,plain,
( mult(rd(unit,X1),mult(X2,X1)) = X2
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_59]) ).
cnf(c_0_143,plain,
( mult(rd(rd(X1,X2),X1),X2) = unit
| mult(X2,rd(X1,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_122,c_0_15]) ).
cnf(c_0_144,plain,
( rd(mult(X1,X2),X1) = X2
| mult(X1,rd(X2,X1)) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_123]),c_0_15]) ).
cnf(c_0_145,plain,
( ld(X1,mult(rd(X1,ld(X2,X3)),X3)) = X2
| mult(ld(X2,X3),X2) != X3 ),
inference(spm,[status(thm)],[c_0_124,c_0_37]) ).
cnf(c_0_146,plain,
mult(rd(X1,mult(X2,mult(X2,X2))),mult(X2,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_125,c_0_15]) ).
cnf(c_0_147,plain,
( mult(X1,rd(unit,X2)) = rd(X1,X2)
| mult(X1,mult(mult(X2,mult(X2,mult(X2,X2))),rd(unit,X2))) != mult(X1,mult(X2,mult(X2,X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_148,plain,
( ld(rd(unit,X1),rd(X2,X1)) = X2
| mult(X1,rd(X2,X1)) != X2 ),
inference(cn,[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_129,c_0_79]),c_0_17]),c_0_17]),c_0_17]),c_0_64]),c_0_17])]) ).
cnf(c_0_149,plain,
( rd(X1,ld(X2,ld(X3,X1))) = mult(X3,X2)
| mult(ld(X2,ld(X3,X1)),X2) != ld(X3,X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_37]) ).
cnf(c_0_150,plain,
( ld(rd(X1,X2),ld(X2,X1)) = unit
| mult(ld(X2,X1),X2) != X1 ),
inference(cn,[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_131,c_0_132]),c_0_133]),c_0_133]),c_0_17]),c_0_133]),c_0_64])]) ).
cnf(c_0_151,plain,
( rd(X1,X2) = ld(X2,X1)
| mult(ld(X2,X1),X2) != X1 ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_152,plain,
( rd(rd(X1,X2),X3) = rd(X1,mult(X2,X3))
| mult(ld(X3,X2),X3) != X2 ),
inference(spm,[status(thm)],[c_0_11,c_0_134]) ).
cnf(c_0_153,plain,
( ld(X1,rd(unit,X1)) = rd(unit,mult(X1,X1))
| mult(ld(X1,unit),X1) != unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_64]),c_0_17])]) ).
cnf(c_0_154,plain,
( rd(X1,rd(unit,X2)) = mult(X1,X2)
| mult(mult(X2,mult(X2,X2)),rd(unit,X2)) != mult(X2,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_80]),c_0_139]) ).
cnf(c_0_155,plain,
( rd(unit,X1) = ld(X1,unit)
| mult(X1,mult(mult(X1,X1),rd(unit,X1))) != mult(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_12]),c_0_22]),c_0_17]),c_0_22]),c_0_17])]) ).
cnf(c_0_156,plain,
mult(mult(X1,X1),rd(unit,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_15]),c_0_64]),c_0_15]),c_0_64])]) ).
cnf(c_0_157,plain,
( mult(rd(X1,mult(X2,X1)),X2) = unit
| mult(X2,rd(X1,X2)) != X1 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_158,plain,
( ld(X1,rd(X1,X2)) = rd(unit,X2)
| mult(mult(X2,mult(X2,X2)),rd(unit,X2)) != mult(X2,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_80]),c_0_146]) ).
cnf(c_0_159,plain,
( mult(X1,rd(unit,X2)) = rd(X1,X2)
| mult(mult(X2,mult(X2,X2)),rd(unit,X2)) != mult(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_56]),c_0_66]),c_0_17]),c_0_66]),c_0_17])]) ).
cnf(c_0_160,plain,
( mult(mult(X1,mult(X2,X3)),X4) = mult(mult(X1,X2),mult(X3,X4))
| mult(mult(X1,X2),mult(X4,X3)) != mult(mult(X1,X2),mult(X3,X4))
| mult(X1,mult(X3,X2)) != mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_31]) ).
cnf(c_0_161,plain,
( ld(rd(unit,X1),X2) = mult(X1,X2)
| mult(X1,rd(X2,X1)) != X2 ),
inference(spm,[status(thm)],[c_0_148,c_0_144]) ).
cnf(c_0_162,plain,
( mult(X1,rd(X2,X1)) = X2
| mult(ld(X1,X2),X1) != X2 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_137]),c_0_17]),c_0_151]) ).
cnf(c_0_163,plain,
( rd(rd(X1,rd(unit,X2)),X2) = X1
| mult(ld(X2,unit),X2) != unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_15]),c_0_137]),c_0_33])]) ).
cnf(c_0_164,plain,
( rd(X1,rd(unit,X2)) = mult(X1,X2)
| mult(X2,mult(mult(X2,X2),rd(unit,X2))) != mult(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_12]),c_0_22]),c_0_17]),c_0_22]),c_0_17])]) ).
cnf(c_0_165,plain,
rd(unit,X1) = ld(X1,unit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_166,plain,
( mult(rd(X1,X2),rd(X2,X1)) = unit
| mult(rd(X2,X1),rd(X1,rd(X2,X1))) != X1 ),
inference(spm,[status(thm)],[c_0_157,c_0_15]) ).
cnf(c_0_167,plain,
( ld(X1,rd(X1,X2)) = rd(unit,X2)
| mult(X2,mult(mult(X2,X2),rd(unit,X2))) != mult(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_12]),c_0_22]),c_0_17]),c_0_22]),c_0_17])]) ).
cnf(c_0_168,plain,
( mult(X1,mult(ld(X1,X2),X3)) = mult(X2,X3)
| mult(X1,mult(X3,ld(X1,X2))) = mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_169,plain,
( mult(X1,rd(unit,X2)) = rd(X1,X2)
| mult(mult(X2,X2),mult(X2,rd(unit,X2))) != mult(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_15]),c_0_64])]) ).
cnf(c_0_170,plain,
( ld(rd(unit,X1),X2) = mult(X1,X2)
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_171,plain,
( rd(X1,rd(unit,X2)) = ld(rd(unit,X2),X1)
| rd(X1,rd(unit,X2)) != mult(X2,X1)
| mult(ld(X2,unit),X2) != unit ),
inference(spm,[status(thm)],[c_0_148,c_0_163]) ).
cnf(c_0_172,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_156])]),c_0_165]) ).
cnf(c_0_173,plain,
mult(ld(X1,unit),X1) = unit,
inference(cn,[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_166,c_0_165]),c_0_165]),c_0_137]),c_0_137]),c_0_137]),c_0_19])]) ).
cnf(c_0_174,plain,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_156])]),c_0_165]) ).
cnf(c_0_175,plain,
( mult(X1,mult(X2,ld(X1,X3))) = mult(X3,X2)
| ld(X1,mult(X3,X2)) = mult(ld(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_168]) ).
cnf(c_0_176,plain,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_165]),c_0_165]),c_0_19]),c_0_64])]) ).
cnf(c_0_177,plain,
( ld(ld(X1,unit),X2) = mult(X1,X2)
| mult(ld(X1,X2),X1) != X2 ),
inference(rw,[status(thm)],[c_0_170,c_0_165]) ).
cnf(c_0_178,plain,
( ld(ld(X1,unit),X2) = mult(X2,X1)
| mult(X2,X1) != mult(X1,X2) ),
inference(cn,[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)],[c_0_171,c_0_165]),c_0_165]),c_0_165]),c_0_172]),c_0_172]),c_0_173])]) ).
cnf(c_0_179,plain,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_174,c_0_37]) ).
cnf(c_0_180,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_181,plain,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(X1,rd(X2,X1)) = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_17]),c_0_17]) ).
cnf(c_0_182,plain,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(X2,X1) != mult(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_180]),c_0_176]),c_0_11])]) ).
cnf(c_0_183,plain,
ld(rd(X1,mult(X2,X2)),rd(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_33]) ).
cnf(c_0_184,plain,
mult(ld(X1,unit),X2) = ld(X1,X2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_181]),c_0_182]) ).
cnf(c_0_185,plain,
( ld(rd(mult(X1,X2),mult(X1,X1)),X2) = X1
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_183,c_0_21]) ).
cnf(c_0_186,negated_conjecture,
i(mult(a,b)) != mult(i(b),i(a)),
goals ).
cnf(c_0_187,axiom,
i(X1) = ld(X1,unit),
f09 ).
cnf(c_0_188,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(cn,[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_184,c_0_185]),c_0_64]),c_0_52]),c_0_165]),c_0_17]),c_0_64])]) ).
cnf(c_0_189,negated_conjecture,
ld(mult(a,b),unit) != mult(ld(b,unit),ld(a,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187]),c_0_187]),c_0_187]) ).
cnf(c_0_190,plain,
ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_179,c_0_188]) ).
cnf(c_0_191,negated_conjecture,
rd(ld(b,unit),a) != ld(mult(a,b),unit),
inference(rw,[status(thm)],[c_0_189,c_0_176]) ).
cnf(c_0_192,plain,
rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_184]),c_0_190]) ).
cnf(c_0_193,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP755-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n006.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 : Mon Aug 28 21:52:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.49/0.60 start to proof: theBenchmark
% 110.52/110.54 % Version : CSE_E---1.5
% 110.52/110.54 % Problem : theBenchmark.p
% 110.52/110.54 % Proof found
% 110.52/110.54 % SZS status Theorem for theBenchmark.p
% 110.52/110.54 % SZS output start Proof
% See solution above
% 110.52/110.55 % Total time : 109.955000 s
% 110.52/110.55 % SZS output end Proof
% 110.52/110.55 % Total time : 109.962000 s
%------------------------------------------------------------------------------