%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP746+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:41:04 PM UTC 2026
% Result : Theorem 257.94s 37.98s
% Output : CNFRefutation 257.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 9
% Syntax : Number of formulae : 266 ( 221 unt; 0 def)
% Number of atoms : 319 ( 318 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 91 ( 38 ~; 48 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 400 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
mult(mult(a,b),c) = mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f08,axiom,
! [X4,X5,X6] :
( ( mult(X4,mult(X5,X6)) = mult(X4,mult(X6,X5))
& mult(mult(X4,X5),X6) = mult(mult(X4,X6),X5) )
| ( mult(mult(X4,X6),X5) = mult(X4,mult(X6,X5))
& mult(mult(X4,X5),X6) = mult(X4,mult(X5,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f07,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X1) = mult(X2,mult(mult(X1,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(c_0_9,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_10,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
fof(c_0_12,plain,
! [X20,X21,X22] :
( ( mult(mult(X20,X22),X21) = mult(X20,mult(X22,X21))
| mult(X20,mult(X21,X22)) = mult(X20,mult(X22,X21)) )
& ( mult(mult(X20,X22),X21) = mult(X20,mult(X22,X21))
| mult(mult(X20,X21),X22) = mult(mult(X20,X22),X21) )
& ( mult(mult(X20,X21),X22) = mult(X20,mult(X21,X22))
| mult(X20,mult(X21,X22)) = mult(X20,mult(X22,X21)) )
& ( mult(mult(X20,X21),X22) = mult(X20,mult(X21,X22))
| mult(mult(X20,X21),X22) = mult(mult(X20,X22),X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[f08])]) ).
fof(c_0_13,plain,
! [X9,X10] : ld(X10,mult(X10,X9)) = X9,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_14,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( mult(mult(X1,X3),X2) = mult(X1,mult(X3,X2))
| mult(X1,mult(X2,X3)) = mult(X1,mult(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X17,X18,X19] : mult(mult(mult(X19,X18),X17),X18) = mult(X19,mult(mult(X18,X17),X18)),
inference(variable_rename,[status(thm)],[f07]) ).
cnf(c_0_17,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
mult(a,mult(c,b)) = mult(a,mult(b,c)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,plain,
! [X13,X14] : rd(mult(X14,X13),X13) = X14,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_20,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
mult(c,b) = mult(b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]) ).
cnf(c_0_22,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(c,mult(mult(b,X1),b)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_24,plain,
! [X7,X8] : mult(X8,ld(X8,X7)) = X7,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_25,negated_conjecture,
rd(mult(c,mult(mult(b,X1),b)),b) = mult(mult(b,c),X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_27,plain,
! [X15] : mult(X15,unit) = X15,
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_28,plain,
! [X11,X12] : mult(rd(X12,X11),X11) = X12,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_29,negated_conjecture,
mult(mult(b,c),ld(b,X1)) = rd(mult(c,mult(X1,b)),b),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
rd(rd(mult(c,mult(X1,b)),b),ld(b,X1)) = mult(b,c),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
mult(mult(b,c),b) = mult(c,mult(b,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_30]) ).
cnf(c_0_34,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
rd(rd(mult(c,X1),b),ld(b,rd(X1,b))) = mult(b,c),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
rd(mult(c,mult(c,mult(b,b))),b) = mult(mult(b,c),c),
inference(spm,[status(thm)],[c_0_25,c_0_33]) ).
cnf(c_0_37,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
ld(mult(b,c),rd(mult(c,X1),b)) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
rd(mult(c,mult(c,mult(b,b))),b) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
rd(mult(c,mult(b,b)),b) = mult(b,c),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
cnf(c_0_41,plain,
mult(X1,mult(mult(X2,ld(mult(X1,X2),X3)),X2)) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_42,negated_conjecture,
ld(mult(b,c),mult(b,mult(c,c))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_17]) ).
fof(c_0_43,plain,
! [X16] : mult(unit,X16) = X16,
inference(variable_rename,[status(thm)],[f06]) ).
cnf(c_0_44,plain,
( mult(mult(X1,X3),X2) = mult(X1,mult(X3,X2))
| mult(mult(X1,X2),X3) = mult(mult(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_45,negated_conjecture,
mult(mult(b,mult(c,c)),c) = mult(b,mult(c,mult(c,c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37]) ).
cnf(c_0_46,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
rd(mult(b,c),b) = c,
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_48,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(c,X1),b) = mult(mult(b,c),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_49,negated_conjecture,
mult(mult(b,c),mult(c,c)) = mult(b,mult(c,mult(c,c))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( mult(c,mult(X1,b)) = mult(c,mult(b,X1))
| mult(mult(b,c),X1) = mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_51,negated_conjecture,
rd(c,ld(b,unit)) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_21]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| mult(mult(c,X1),b) = mult(c,mult(X1,b)) ),
inference(ef,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
mult(rd(X1,X2),mult(mult(X2,X3),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_54,plain,
rd(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_55,negated_conjecture,
( mult(c,mult(b,mult(c,c))) = mult(b,mult(c,mult(c,c)))
| mult(c,mult(mult(c,c),b)) = mult(c,mult(b,mult(c,c))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
ld(mult(b,c),c) = ld(b,unit),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| rd(mult(c,mult(X1,b)),b) = mult(c,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
ld(b,rd(ld(c,X1),b)) = ld(mult(b,c),rd(X1,b)),
inference(spm,[status(thm)],[c_0_38,c_0_26]) ).
cnf(c_0_59,negated_conjecture,
mult(rd(X1,c),mult(b,mult(c,c))) = mult(mult(X1,b),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_21]),c_0_37]) ).
cnf(c_0_60,negated_conjecture,
rd(mult(X1,mult(b,mult(c,c))),c) = mult(mult(X1,c),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_21]),c_0_37]) ).
cnf(c_0_61,negated_conjecture,
( mult(mult(c,c),b) = mult(b,mult(c,c))
| mult(c,mult(b,mult(c,c))) = mult(b,mult(c,mult(c,c))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_55]),c_0_17]) ).
cnf(c_0_62,negated_conjecture,
rd(mult(b,mult(c,mult(c,c))),c) = mult(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_63,negated_conjecture,
mult(b,mult(mult(c,ld(b,unit)),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( mult(mult(b,c),mult(b,X1)) != mult(c,mult(mult(b,X1),b))
| mult(mult(b,c),X1) = mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
mult(b,ld(mult(b,c),rd(X1,b))) = rd(ld(c,X1),b),
inference(spm,[status(thm)],[c_0_26,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
ld(rd(X1,c),mult(mult(X1,b),c)) = mult(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_17,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
mult(mult(c,c),b) = mult(b,mult(c,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_68,negated_conjecture,
mult(mult(c,ld(b,unit)),c) = ld(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_17,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( mult(mult(b,c),rd(ld(c,X1),b)) != X1
| mult(c,rd(ld(c,X1),b)) = rd(X1,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_26]),c_0_31]),c_0_26]) ).
cnf(c_0_70,negated_conjecture,
ld(c,mult(b,mult(c,mult(c,c)))) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_22]),c_0_45]) ).
cnf(c_0_71,negated_conjecture,
rd(mult(b,mult(c,c)),b) = mult(c,c),
inference(spm,[status(thm)],[c_0_22,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
rd(mult(X1,ld(b,mult(c,c))),c) = mult(mult(X1,c),ld(b,unit)),
inference(spm,[status(thm)],[c_0_54,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
mult(c,mult(b,mult(c,c))) = mult(b,mult(c,mult(c,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_67]),c_0_45]),c_0_21]),c_0_37]) ).
cnf(c_0_74,negated_conjecture,
rd(mult(b,mult(c,mult(c,c))),b) = mult(c,mult(c,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_71]),c_0_49])]) ).
cnf(c_0_75,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_37]) ).
cnf(c_0_76,plain,
( mult(X1,mult(ld(X1,X3),X2)) = mult(X3,X2)
| mult(X1,mult(X2,ld(X1,X3))) = mult(X1,mult(ld(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_77,negated_conjecture,
mult(mult(b,mult(c,c)),ld(b,unit)) = mult(c,c),
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_72,c_0_29]),c_0_67]),c_0_73]),c_0_74]),c_0_75]),c_0_37]) ).
cnf(c_0_78,negated_conjecture,
mult(b,mult(ld(b,unit),mult(b,mult(c,c)))) = mult(b,mult(c,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_46])]) ).
cnf(c_0_79,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_80,negated_conjecture,
ld(rd(rd(X1,b),c),mult(X1,c)) = mult(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_66,c_0_31]) ).
cnf(c_0_81,negated_conjecture,
mult(ld(b,unit),mult(b,mult(c,c))) = mult(c,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_78]),c_0_17]) ).
cnf(c_0_82,negated_conjecture,
rd(mult(X1,c),mult(b,mult(c,c))) = rd(rd(X1,b),c),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_84,negated_conjecture,
rd(rd(c,b),c) = ld(b,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
mult(X1,mult(mult(ld(X1,X2),X3),ld(X1,X2))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_86,negated_conjecture,
mult(ld(b,unit),mult(c,c)) = mult(rd(c,b),c),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
mult(b,mult(mult(c,c),ld(b,unit))) = mult(c,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_81]),c_0_46]),c_0_77]) ).
cnf(c_0_88,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
rd(ld(c,mult(X1,b)),b) = mult(b,ld(mult(b,c),X1)),
inference(spm,[status(thm)],[c_0_65,c_0_22]) ).
cnf(c_0_90,negated_conjecture,
mult(b,mult(rd(c,b),c)) = mult(c,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_86]),c_0_87]),c_0_46])]) ).
cnf(c_0_91,plain,
rd(X1,mult(X1,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_88,c_0_46]) ).
cnf(c_0_92,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| mult(b,ld(mult(b,c),mult(c,X1))) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_52]),c_0_17]),c_0_22]) ).
cnf(c_0_93,negated_conjecture,
mult(rd(c,b),c) = ld(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_17,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
rd(ld(b,mult(c,c)),c) = mult(c,ld(b,unit)),
inference(spm,[status(thm)],[c_0_22,c_0_68]) ).
cnf(c_0_95,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| rd(X1,ld(mult(b,c),mult(c,X1))) = b ),
inference(spm,[status(thm)],[c_0_22,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
mult(c,ld(b,unit)) = rd(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_93]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
mult(ld(b,unit),ld(b,unit)) = ld(b,ld(b,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_30]),c_0_56]),c_0_30]),c_0_56]),c_0_30]),c_0_56]),c_0_30]),c_0_46]),c_0_21])]) ).
cnf(c_0_99,negated_conjecture,
rd(rd(c,b),ld(b,rd(unit,b))) = mult(b,c),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_100,negated_conjecture,
rd(rd(c,b),ld(b,ld(b,unit))) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_97]),c_0_98]),c_0_51]) ).
cnf(c_0_101,negated_conjecture,
ld(mult(b,c),rd(c,b)) = ld(b,rd(unit,b)),
inference(spm,[status(thm)],[c_0_34,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
ld(b,rd(unit,b)) = ld(b,ld(b,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_100]),c_0_101]) ).
cnf(c_0_103,negated_conjecture,
rd(unit,b) = ld(b,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_102]),c_0_26]) ).
cnf(c_0_104,negated_conjecture,
mult(ld(b,unit),b) = unit,
inference(spm,[status(thm)],[c_0_31,c_0_103]) ).
cnf(c_0_105,negated_conjecture,
mult(mult(X1,ld(b,unit)),b) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_104]),c_0_46]),c_0_22]) ).
cnf(c_0_106,negated_conjecture,
mult(X1,ld(b,unit)) = rd(X1,b),
inference(spm,[status(thm)],[c_0_22,c_0_105]) ).
cnf(c_0_107,negated_conjecture,
mult(rd(X1,X2),mult(rd(X2,b),X2)) = mult(rd(X1,b),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_106]),c_0_106]) ).
cnf(c_0_108,negated_conjecture,
ld(rd(X1,X2),mult(rd(X1,b),X2)) = mult(rd(X2,b),X2),
inference(spm,[status(thm)],[c_0_17,c_0_107]) ).
cnf(c_0_109,negated_conjecture,
rd(mult(X1,mult(rd(X2,b),X2)),X2) = rd(mult(X1,X2),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_106]),c_0_106]) ).
cnf(c_0_110,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_22,c_0_46]) ).
cnf(c_0_111,negated_conjecture,
mult(ld(b,unit),mult(mult(b,X1),b)) = mult(X1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_103]),c_0_46]) ).
cnf(c_0_112,negated_conjecture,
mult(ld(b,unit),mult(b,b)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_103]),c_0_46]) ).
cnf(c_0_113,negated_conjecture,
ld(rd(mult(X1,b),X2),mult(X1,X2)) = mult(rd(X2,b),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_46]),c_0_22]) ).
cnf(c_0_114,negated_conjecture,
mult(ld(b,unit),mult(X1,b)) = mult(ld(b,X1),b),
inference(spm,[status(thm)],[c_0_111,c_0_26]) ).
cnf(c_0_115,negated_conjecture,
rd(X1,ld(b,unit)) = mult(X1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_112]),c_0_26]),c_0_30]),c_0_106]),c_0_83]) ).
cnf(c_0_116,negated_conjecture,
rd(mult(X1,X2),mult(rd(X2,b),X2)) = rd(mult(X1,b),X2),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_117,negated_conjecture,
mult(mult(X1,ld(b,X2)),b) = mult(rd(X1,b),mult(X2,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_114]),c_0_106]),c_0_22]),c_0_115]),c_0_106]) ).
cnf(c_0_118,negated_conjecture,
rd(mult(rd(X1,X2),b),X2) = rd(X1,mult(rd(X2,b),X2)),
inference(spm,[status(thm)],[c_0_116,c_0_31]) ).
cnf(c_0_119,negated_conjecture,
rd(mult(rd(X1,b),mult(X2,b)),b) = mult(X1,ld(b,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
mult(rd(X1,mult(rd(X2,b),X2)),X2) = mult(rd(X1,X2),b),
inference(spm,[status(thm)],[c_0_31,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
mult(X1,ld(b,rd(X2,b))) = rd(mult(rd(X1,b),X2),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_31]),c_0_110]),c_0_46]) ).
cnf(c_0_122,negated_conjecture,
ld(X1,rd(mult(rd(X1,b),X2),b)) = ld(b,rd(X2,b)),
inference(spm,[status(thm)],[c_0_17,c_0_121]) ).
cnf(c_0_123,negated_conjecture,
ld(mult(X1,b),rd(mult(X1,X2),b)) = ld(b,rd(X2,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_109]),c_0_110]),c_0_46]),c_0_22]) ).
cnf(c_0_124,negated_conjecture,
ld(mult(rd(X1,X2),b),rd(X1,b)) = ld(b,rd(X2,b)),
inference(spm,[status(thm)],[c_0_123,c_0_31]) ).
cnf(c_0_125,negated_conjecture,
ld(b,rd(ld(X1,X2),b)) = ld(mult(X1,b),rd(X2,b)),
inference(spm,[status(thm)],[c_0_123,c_0_26]) ).
cnf(c_0_126,negated_conjecture,
ld(mult(rd(b,X1),b),unit) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_124,c_0_110]) ).
cnf(c_0_127,negated_conjecture,
mult(b,ld(mult(X1,b),rd(X2,b))) = rd(ld(X1,X2),b),
inference(spm,[status(thm)],[c_0_26,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
rd(unit,ld(b,rd(X1,b))) = mult(rd(b,X1),b),
inference(spm,[status(thm)],[c_0_79,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
rd(ld(rd(X1,b),X2),b) = mult(b,ld(X1,rd(X2,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_120]),c_0_31]),c_0_110]),c_0_46]) ).
cnf(c_0_130,negated_conjecture,
mult(rd(b,mult(X1,b)),b) = rd(unit,ld(b,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_109]),c_0_22]),c_0_110]),c_0_46]) ).
cnf(c_0_131,negated_conjecture,
mult(mult(b,ld(X1,rd(X2,b))),b) = ld(rd(X1,b),X2),
inference(spm,[status(thm)],[c_0_31,c_0_129]) ).
cnf(c_0_132,plain,
rd(mult(X1,mult(X2,rd(X2,X3))),rd(X2,X3)) = mult(mult(X1,rd(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_133,negated_conjecture,
rd(rd(unit,ld(b,X1)),b) = rd(b,mult(X1,b)),
inference(spm,[status(thm)],[c_0_22,c_0_130]) ).
cnf(c_0_134,negated_conjecture,
ld(rd(rd(rd(X1,b),X2),b),X1) = mult(mult(b,X2),b),
inference(spm,[status(thm)],[c_0_131,c_0_34]) ).
cnf(c_0_135,plain,
mult(mult(X1,rd(unit,X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_46]),c_0_22]) ).
cnf(c_0_136,negated_conjecture,
rd(b,mult(mult(b,X1),b)) = rd(rd(unit,X1),b),
inference(spm,[status(thm)],[c_0_133,c_0_17]) ).
cnf(c_0_137,negated_conjecture,
rd(rd(rd(X1,b),X2),b) = rd(X1,mult(mult(b,X2),b)),
inference(spm,[status(thm)],[c_0_79,c_0_134]) ).
cnf(c_0_138,plain,
mult(X1,rd(unit,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
mult(ld(b,rd(X1,b)),b) = mult(ld(b,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_120]),c_0_31]),c_0_110]),c_0_46]) ).
cnf(c_0_140,negated_conjecture,
ld(rd(rd(unit,X1),b),b) = mult(mult(b,X1),b),
inference(spm,[status(thm)],[c_0_34,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
rd(rd(ld(b,unit),X1),b) = rd(unit,mult(mult(b,X1),b)),
inference(spm,[status(thm)],[c_0_137,c_0_103]) ).
cnf(c_0_142,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_138,c_0_79]) ).
cnf(c_0_143,negated_conjecture,
rd(mult(ld(b,unit),X1),b) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_22,c_0_139]) ).
cnf(c_0_144,negated_conjecture,
mult(mult(b,ld(X1,unit)),b) = ld(rd(X1,b),b),
inference(spm,[status(thm)],[c_0_140,c_0_79]) ).
cnf(c_0_145,negated_conjecture,
rd(unit,ld(rd(X1,b),b)) = ld(b,rd(X1,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),c_0_144]) ).
cnf(c_0_146,negated_conjecture,
rd(unit,ld(X1,b)) = ld(b,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_109]),c_0_22]),c_0_22]) ).
cnf(c_0_147,plain,
mult(ld(X1,unit),X1) = unit,
inference(spm,[status(thm)],[c_0_110,c_0_142]) ).
cnf(c_0_148,negated_conjecture,
ld(b,rd(b,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_146,c_0_34]) ).
cnf(c_0_149,plain,
rd(unit,X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_22,c_0_147]) ).
cnf(c_0_150,negated_conjecture,
ld(ld(b,X1),unit) = ld(X1,b),
inference(spm,[status(thm)],[c_0_34,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
ld(b,rd(b,X1)) = ld(X1,unit),
inference(rw,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
ld(ld(X1,unit),unit) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_34]) ).
cnf(c_0_153,plain,
( mult(mult(X1,X3),X2) != mult(X1,mult(X2,X3))
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_154,negated_conjecture,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_142,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( mult(rd(X1,X3),X2) != mult(X1,rd(X2,X3))
| mult(X1,rd(X2,X3)) = rd(mult(X1,X2),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_154]),c_0_154]),c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( mult(X1,rd(X2,X1)) != X2
| mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_110]),c_0_46]) ).
cnf(c_0_157,negated_conjecture,
( mult(X1,X2) != mult(X2,X1)
| rd(mult(X1,mult(X2,X1)),X1) = mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_22]) ).
cnf(c_0_158,negated_conjecture,
( mult(X1,X2) != mult(X2,X1)
| mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_157]) ).
cnf(c_0_159,negated_conjecture,
( mult(ld(X1,X2),X1) != X2
| mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_26]) ).
cnf(c_0_160,negated_conjecture,
( mult(ld(X1,X2),X1) != X2
| mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_159]) ).
cnf(c_0_161,negated_conjecture,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_17,c_0_154]) ).
cnf(c_0_162,negated_conjecture,
( mult(X2,X1) != mult(X1,X2)
| ld(X1,mult(mult(X1,X2),X1)) = mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_17]) ).
cnf(c_0_163,negated_conjecture,
mult(X1,rd(mult(ld(X1,unit),X2),X1)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_154]),c_0_46]),c_0_154]) ).
cnf(c_0_164,negated_conjecture,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_161,c_0_79]) ).
cnf(c_0_165,negated_conjecture,
mult(X1,mult(rd(X2,mult(X1,X2)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_154]),c_0_46]) ).
cnf(c_0_166,negated_conjecture,
( mult(ld(X1,unit),X2) != rd(X2,X1)
| mult(ld(X1,unit),X2) = ld(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_167,negated_conjecture,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_142,c_0_164]) ).
cnf(c_0_168,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_46]) ).
cnf(c_0_169,negated_conjecture,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_17,c_0_165]) ).
cnf(c_0_170,negated_conjecture,
( mult(X1,X2) != mult(X2,X1)
| ld(ld(X1,unit),X2) = mult(X1,X2) ),
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_34]),c_0_149]),c_0_149]),c_0_167]),c_0_168]) ).
cnf(c_0_171,negated_conjecture,
ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
inference(spm,[status(thm)],[c_0_169,c_0_31]) ).
cnf(c_0_172,negated_conjecture,
( mult(X1,X2) != mult(X2,X1)
| mult(ld(X1,unit),mult(X1,X2)) = X2 ),
inference(spm,[status(thm)],[c_0_26,c_0_170]) ).
cnf(c_0_173,negated_conjecture,
mult(rd(X1,X2),mult(rd(X2,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_26,c_0_171]) ).
cnf(c_0_174,negated_conjecture,
( mult(X2,X1) != mult(X1,X2)
| rd(X1,mult(X2,X1)) = ld(X2,unit) ),
inference(spm,[status(thm)],[c_0_22,c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( mult(X1,X2) != mult(X2,X1)
| mult(X1,mult(ld(X1,unit),X2)) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_22]) ).
cnf(c_0_176,negated_conjecture,
rd(mult(ld(X1,unit),X2),X1) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_163]) ).
cnf(c_0_177,negated_conjecture,
mult(mult(b,ld(mult(b,c),X1)),b) = ld(c,mult(X1,b)),
inference(spm,[status(thm)],[c_0_31,c_0_89]) ).
cnf(c_0_178,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| ld(mult(b,c),mult(c,X1)) = ld(b,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_57]),c_0_22]) ).
cnf(c_0_179,negated_conjecture,
( mult(ld(ld(X1,unit),X2),X1) != mult(X1,ld(ld(X1,unit),X2))
| ld(ld(X1,unit),X2) = mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_26]) ).
cnf(c_0_180,negated_conjecture,
ld(ld(X1,unit),mult(X2,X1)) = mult(mult(X1,X2),X1),
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_176,c_0_34]),c_0_149]),c_0_167]),c_0_168]),c_0_149]),c_0_149]),c_0_167]),c_0_168]) ).
cnf(c_0_181,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X2),mult(X3,X3)) = mult(X1,mult(mult(X3,X2),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_44]),c_0_37]) ).
cnf(c_0_182,negated_conjecture,
mult(ld(X1,rd(X2,X1)),X1) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_31,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| ld(c,mult(mult(c,X1),b)) = mult(X1,b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_26]) ).
cnf(c_0_184,negated_conjecture,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_37]),c_0_181]) ).
cnf(c_0_185,negated_conjecture,
mult(ld(X1,unit),mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_182,c_0_22]) ).
cnf(c_0_186,negated_conjecture,
mult(rd(X1,b),mult(c,mult(b,b))) = mult(mult(X1,c),b),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_187,negated_conjecture,
( mult(rd(X1,b),X2) != mult(X1,rd(X2,b))
| mult(X1,rd(X2,b)) = rd(mult(X1,X2),b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_106]),c_0_106]),c_0_106]),c_0_106]) ).
cnf(c_0_188,negated_conjecture,
( mult(mult(b,c),X1) != mult(c,mult(X1,b))
| rd(mult(mult(c,X1),b),mult(X1,b)) = c ),
inference(spm,[status(thm)],[c_0_79,c_0_183]) ).
cnf(c_0_189,negated_conjecture,
mult(mult(X1,rd(X2,X1)),X1) = ld(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_180,c_0_31]) ).
cnf(c_0_190,negated_conjecture,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_169]) ).
cnf(c_0_191,negated_conjecture,
mult(ld(X1,unit),X2) = ld(X1,X2),
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_154]),c_0_22]),c_0_154]),c_0_22]) ).
cnf(c_0_192,negated_conjecture,
ld(rd(X1,b),mult(mult(X1,c),b)) = mult(c,mult(b,b)),
inference(spm,[status(thm)],[c_0_17,c_0_186]) ).
cnf(c_0_193,negated_conjecture,
( mult(b,rd(X1,b)) != X1
| mult(b,rd(X1,b)) = rd(mult(b,X1),b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_110]),c_0_46]) ).
cnf(c_0_194,negated_conjecture,
( mult(mult(b,c),rd(X1,b)) != mult(c,X1)
| rd(mult(mult(c,rd(X1,b)),b),X1) = c ),
inference(spm,[status(thm)],[c_0_188,c_0_31]) ).
cnf(c_0_195,negated_conjecture,
rd(ld(ld(X1,unit),X2),X1) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_189]) ).
cnf(c_0_196,negated_conjecture,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_184]),c_0_31]) ).
cnf(c_0_197,negated_conjecture,
rd(X1,mult(rd(X1,X2),X1)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_190,c_0_34]) ).
cnf(c_0_198,negated_conjecture,
rd(X1,mult(X2,X1)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_191]),c_0_190]) ).
cnf(c_0_199,negated_conjecture,
ld(rd(unit,b),mult(b,c)) = mult(c,mult(b,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_46]),c_0_21]) ).
cnf(c_0_200,negated_conjecture,
rd(mult(b,mult(b,c)),b) = mult(b,c),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_110]),c_0_30]),c_0_21]),c_0_110]),c_0_30]),c_0_21]),c_0_110]),c_0_30]),c_0_21])]) ).
cnf(c_0_201,negated_conjecture,
mult(X1,rd(X2,X1)) = rd(mult(X1,X2),X1),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_202,negated_conjecture,
ld(rd(X1,X2),unit) = rd(X2,X1),
inference(rw,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
ld(ld(b,unit),mult(b,c)) = mult(c,mult(b,b)),
inference(rw,[status(thm)],[c_0_199,c_0_103]) ).
cnf(c_0_204,negated_conjecture,
mult(c,mult(b,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_200]),c_0_33]) ).
cnf(c_0_205,negated_conjecture,
mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b),
inference(spm,[status(thm)],[c_0_114,c_0_21]) ).
cnf(c_0_206,negated_conjecture,
mult(mult(X1,X2),rd(X3,X2)) = rd(mult(X1,mult(X2,X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_201]),c_0_31]) ).
cnf(c_0_207,negated_conjecture,
ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[c_0_196,c_0_164]) ).
cnf(c_0_208,negated_conjecture,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_191,c_0_202]) ).
cnf(c_0_209,negated_conjecture,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_167]) ).
cnf(c_0_210,plain,
mult(mult(X1,X2),ld(X2,X3)) = rd(mult(X1,mult(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_211,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(mult(X2,X3),X2))) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_212,negated_conjecture,
ld(ld(b,unit),mult(b,c)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_213,negated_conjecture,
mult(b,mult(ld(b,c),b)) = mult(b,c),
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_76,c_0_205]),c_0_29]),c_0_46]),c_0_21]),c_0_47]),c_0_46])]) ).
cnf(c_0_214,negated_conjecture,
( mult(ld(X1,X3),X2) != ld(X1,mult(X2,X3))
| mult(ld(X1,X2),X3) = ld(X1,mult(X2,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_191]),c_0_191]),c_0_191]),c_0_191]) ).
cnf(c_0_215,negated_conjecture,
mult(ld(X1,X2),rd(X3,X2)) = rd(ld(X1,mult(X2,X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_191]),c_0_191]) ).
cnf(c_0_216,negated_conjecture,
mult(ld(X1,rd(X2,X3)),X4) = ld(mult(rd(X3,X2),X1),X4),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_217,negated_conjecture,
ld(mult(X1,ld(X2,X3)),unit) = rd(ld(X3,X2),X1),
inference(spm,[status(thm)],[c_0_198,c_0_209]) ).
cnf(c_0_218,negated_conjecture,
mult(ld(X1,X2),ld(X2,X3)) = rd(ld(X1,mult(X3,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_191]),c_0_191]) ).
cnf(c_0_219,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(rw,[status(thm)],[c_0_53,c_0_184]) ).
cnf(c_0_220,negated_conjecture,
mult(ld(X1,X2),X1) = ld(X1,mult(X2,X1)),
inference(rw,[status(thm)],[c_0_185,c_0_191]) ).
cnf(c_0_221,negated_conjecture,
ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_161,c_0_198]) ).
cnf(c_0_222,plain,
ld(mult(mult(X1,X2),ld(X2,X3)),mult(X1,mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_211,c_0_26]) ).
cnf(c_0_223,negated_conjecture,
mult(ld(b,unit),mult(b,mult(b,c))) = mult(b,c),
inference(spm,[status(thm)],[c_0_26,c_0_212]) ).
cnf(c_0_224,negated_conjecture,
mult(ld(b,c),b) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_213]),c_0_17]) ).
cnf(c_0_225,negated_conjecture,
( rd(ld(X3,mult(X1,X2)),X1) != ld(X3,X2)
| ld(mult(rd(X1,X2),X3),X1) = ld(X3,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_31]),c_0_31]) ).
cnf(c_0_226,negated_conjecture,
rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_154,c_0_191]) ).
cnf(c_0_227,negated_conjecture,
rd(ld(X1,mult(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
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_217,c_0_218]),c_0_208]),c_0_167]),c_0_30]),c_0_167]),c_0_218]) ).
cnf(c_0_228,negated_conjecture,
mult(ld(X1,ld(X2,X3)),X4) = ld(mult(ld(X3,X2),X1),X4),
inference(spm,[status(thm)],[c_0_207,c_0_207]) ).
cnf(c_0_229,negated_conjecture,
mult(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),mult(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_26]) ).
cnf(c_0_230,negated_conjecture,
rd(mult(X1,ld(X2,X3)),X3) = rd(mult(X1,X3),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_221]),c_0_154]),c_0_191]) ).
cnf(c_0_231,negated_conjecture,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_202]),c_0_168]) ).
cnf(c_0_232,negated_conjecture,
ld(mult(c,ld(mult(b,c),b)),mult(b,c)) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_205]),c_0_224]) ).
cnf(c_0_233,negated_conjecture,
( ld(mult(ld(X3,X1),X2),X1) != ld(X2,X3)
| mult(X1,ld(mult(X2,X1),X3)) = ld(X2,X3) ),
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_225,c_0_191]),c_0_226]),c_0_221]),c_0_191]),c_0_221]),c_0_217]),c_0_227]),c_0_167]),c_0_168]),c_0_228]) ).
cnf(c_0_234,negated_conjecture,
ld(mult(ld(X1,X2),X3),X2) = ld(mult(X2,X3),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_191]),c_0_228]),c_0_226]),c_0_221]),c_0_191]) ).
cnf(c_0_235,negated_conjecture,
ld(mult(X1,rd(X2,X3)),unit) = rd(rd(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_221]),c_0_154]) ).
cnf(c_0_236,negated_conjecture,
mult(rd(X1,X2),rd(X2,X3)) = mult(rd(X1,mult(X2,X3)),X2),
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_230,c_0_221]),c_0_154]),c_0_167]),c_0_168]),c_0_154]),c_0_154]),c_0_231]) ).
cnf(c_0_237,negated_conjecture,
ld(mult(rd(X1,X2),X3),unit) = ld(X3,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_208]),c_0_30]) ).
cnf(c_0_238,negated_conjecture,
mult(c,ld(mult(b,c),b)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_232]),c_0_110]) ).
cnf(c_0_239,negated_conjecture,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_161,c_0_22]) ).
cnf(c_0_240,negated_conjecture,
( ld(mult(X1,X2),mult(X3,X1)) != ld(X2,X3)
| mult(X1,ld(mult(X2,X1),X3)) = ld(X2,X3) ),
inference(rw,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_241,negated_conjecture,
mult(rd(X1,X2),ld(X3,X2)) = mult(rd(X1,mult(X3,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_221]),c_0_154]),c_0_191]) ).
cnf(c_0_242,negated_conjecture,
rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit),
inference(rw,[status(thm)],[c_0_226,c_0_221]) ).
cnf(c_0_243,negated_conjecture,
ld(X1,rd(mult(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_231]),c_0_236]) ).
cnf(c_0_244,negated_conjecture,
mult(X1,rd(ld(X2,X3),X4)) = rd(X1,mult(X4,ld(X3,X2))),
inference(spm,[status(thm)],[c_0_231,c_0_167]) ).
cnf(c_0_245,negated_conjecture,
ld(mult(b,c),b) = ld(c,unit),
inference(spm,[status(thm)],[c_0_17,c_0_238]) ).
cnf(c_0_246,negated_conjecture,
( ld(mult(X3,X2),mult(X1,X3)) != ld(X2,X1)
| mult(ld(X1,X2),X3) = ld(X1,mult(X2,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_207]),c_0_207]),c_0_30]) ).
cnf(c_0_247,negated_conjecture,
ld(mult(X1,X2),ld(X3,X1)) = ld(mult(mult(X3,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_191]),c_0_242]),c_0_191]) ).
cnf(c_0_248,negated_conjecture,
rd(X1,mult(X2,ld(X3,X1))) = rd(mult(X3,X1),mult(X2,X1)),
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_243,c_0_191]),c_0_207]),c_0_168]),c_0_244]),c_0_191]),c_0_167]),c_0_154]),c_0_230]) ).
cnf(c_0_249,plain,
( mult(X2,mult(X2,X3)) = mult(X2,mult(X3,X2))
| ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2)))) = X2 ),
inference(spm,[status(thm)],[c_0_211,c_0_15]) ).
cnf(c_0_250,negated_conjecture,
mult(mult(b,c),ld(c,unit)) = b,
inference(spm,[status(thm)],[c_0_26,c_0_245]) ).
cnf(c_0_251,negated_conjecture,
( ld(mult(mult(X1,X3),X2),X3) != ld(mult(X1,X2),unit)
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
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_246,c_0_191]),c_0_207]),c_0_168]),c_0_207]),c_0_168]),c_0_247]),c_0_221]) ).
cnf(c_0_252,negated_conjecture,
mult(X1,mult(ld(X1,X2),X3)) = rd(mult(X2,mult(X3,X1)),X1),
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_248,c_0_191]),c_0_167]),c_0_207]),c_0_191]),c_0_167]),c_0_210]) ).
cnf(c_0_253,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_219,c_0_31]) ).
cnf(c_0_254,negated_conjecture,
mult(c,mult(ld(c,unit),c)) = c,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_17]),c_0_26]),c_0_30])]) ).
cnf(c_0_255,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_256,negated_conjecture,
( ld(mult(mult(X1,X2),X3),X3) != ld(mult(X1,X2),unit)
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[c_0_251,c_0_44]) ).
cnf(c_0_257,negated_conjecture,
mult(rd(X1,X2),mult(X2,X3)) = ld(X2,mult(mult(X2,X1),X3)),
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_191,c_0_252]),c_0_154]),c_0_167]),c_0_168]),c_0_253]),c_0_207]),c_0_168]) ).
cnf(c_0_258,plain,
ld(mult(mult(rd(X1,mult(mult(X2,X3),X2)),X2),X3),X1) = X2,
inference(spm,[status(thm)],[c_0_211,c_0_31]) ).
cnf(c_0_259,negated_conjecture,
mult(ld(c,unit),c) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_254]),c_0_255]) ).
cnf(c_0_260,negated_conjecture,
( ld(mult(X2,X3),X3) != ld(X2,unit)
| ld(X1,mult(mult(X1,X2),X3)) = mult(X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_31]),c_0_257]) ).
cnf(c_0_261,negated_conjecture,
ld(mult(X1,c),X1) = ld(c,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_46]),c_0_31]) ).
cnf(c_0_262,negated_conjecture,
ld(X1,mult(mult(X1,c),b)) = mult(b,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_21]),c_0_261])]) ).
cnf(c_0_263,negated_conjecture,
mult(mult(X1,c),b) = mult(X1,mult(b,c)),
inference(spm,[status(thm)],[c_0_26,c_0_262]) ).
cnf(c_0_264,negated_conjecture,
mult(mult(X1,b),c) = mult(X1,mult(b,c)),
inference(spm,[status(thm)],[c_0_44,c_0_263]) ).
cnf(c_0_265,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_264])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP746+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n004.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 20 20:37:19 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.50 Running first-order theorem proving
% 0.26/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 257.94/37.98 % Version: 3.5.1
% 257.94/37.98 % Preprocessing class: FSMSSMSSSSSNFFN.
% 257.94/37.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 257.94/37.98 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 257.94/37.98 % Starting new_bool_3 with 300s (1) cores
% 257.94/37.98 % Starting new_bool_1 with 300s (1) cores
% 257.94/37.98 % Starting sh5l with 300s (1) cores
% 257.94/37.98 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1448694 completed with status 0
% 257.94/37.98 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 257.94/37.98 % Preprocessing class: FSMSSMSSSSSNFFN.
% 257.94/37.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 257.94/37.98 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 257.94/37.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 257.94/37.98 % No SInE strategy applied
% 257.94/37.98 % Search class: FGUPM-FFSF22-MFFFFFNN
% 257.94/37.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 257.94/37.98 % Starting SubtermCWHack with 136s (1) cores
% 257.94/37.98 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 257.94/37.98 % Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 226s (1) cores
% 257.94/37.98 % Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 257.94/37.98 % Starting new_bool_3 with 150s (1) cores
% 257.94/37.98 % G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1448703 completed with status 0
% 257.94/37.98 % Result found by G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 257.94/37.98 % Preprocessing class: FSMSSMSSSSSNFFN.
% 257.94/37.98 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 257.94/37.98 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 257.94/37.98 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 257.94/37.98 % No SInE strategy applied
% 257.94/37.98 % Search class: FGUPM-FFSF22-MFFFFFNN
% 257.94/37.98 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 257.94/37.98 % Starting SubtermCWHack with 136s (1) cores
% 257.94/37.98 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 257.94/37.98 % Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 226s (1) cores
% 257.94/37.98 % Starting G-E--_208_C18CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 257.94/37.98 % Preprocessing time : 0.003 s
% 257.94/37.98 % Presaturation interreduction done
% 257.94/37.98
% 257.94/37.98 % Proof found!
% 257.94/37.98 % SZS status Theorem
% 257.94/37.98 % SZS output start CNFRefutation
% See solution above
% 257.94/37.98 % Parsed axioms : 9
% 257.94/37.98 % Removed by relevancy pruning/SinE : 0
% 257.94/37.98 % Initial clauses : 12
% 257.94/37.98 % Removed in clause preprocessing : 0
% 257.94/37.98 % Initial clauses in saturation : 12
% 257.94/37.98 % Processed clauses : 9937
% 257.94/37.98 % ...of these trivial : 3771
% 257.94/37.98 % ...subsumed : 1956
% 257.94/37.98 % ...remaining for further processing : 4210
% 257.94/37.98 % Other redundant clauses eliminated : 0
% 257.94/37.98 % Clauses deleted for lack of memory : 0
% 257.94/37.98 % Backward-subsumed : 112
% 257.94/37.98 % Backward-rewritten : 2588
% 257.94/37.98 % Generated clauses : 1264998
% 257.94/37.98 % ...of the previous two non-redundant : 1117142
% 257.94/37.98 % ...aggressively subsumed : 0
% 257.94/37.98 % Contextual simplify-reflections : 8
% 257.94/37.98 % Paramodulations : 1264919
% 257.94/37.98 % Factorizations : 75
% 257.94/37.98 % NegExts : 0
% 257.94/37.98 % Equation resolutions : 4
% 257.94/37.98 % Disequality decompositions : 0
% 257.94/37.98 % Total rewrite steps : 2969375
% 257.94/37.98 % ...of those cached : 2847683
% 257.94/37.98 % Propositional unsat checks : 0
% 257.94/37.98 % Propositional check models : 0
% 257.94/37.98 % Propositional check unsatisfiable : 0
% 257.94/37.98 % Propositional clauses : 0
% 257.94/37.98 % Propositional clauses after purity: 0
% 257.94/37.98 % Propositional unsat core size : 0
% 257.94/37.98 % Propositional preprocessing time : 0.000
% 257.94/37.98 % Propositional encoding time : 0.000
% 257.94/37.98 % Propositional solver time : 0.000
% 257.94/37.98 % Success case prop preproc time : 0.000
% 257.94/37.98 % Success case prop encoding time : 0.000
% 257.94/37.98 % Success case prop solver time : 0.000
% 257.94/37.98 % Current number of processed clauses : 1500
% 257.94/37.98 % Positive orientable unit clauses : 1161
% 257.94/37.98 % Positive unorientable unit clauses: 0
% 257.94/37.98 % Negative unit clauses : 0
% 257.94/37.98 % Non-unit-clauses : 339
% 257.94/37.98 % Current number of unprocessed clauses: 1102191
% 257.94/37.98 % ...number of literals in the above : 1969482
% 257.94/37.98 % Current number of archived formulas : 0
% 257.94/37.98 % Current number of archived clauses : 2710
% 257.94/37.98 % Clause-clause subsumption calls (NU) : 53710
% 257.94/37.98 % Rec. Clause-clause subsumption calls : 49818
% 257.94/37.98 % Non-unit clause-clause subsumptions : 2030
% 257.94/37.98 % Unit Clause-clause subsumption calls : 64681
% 257.94/37.98 % Rewrite failures with RHS unbound : 0
% 257.94/37.98 % BW rewrite match attempts : 47147
% 257.94/37.98 % BW rewrite match successes : 1703
% 257.94/37.98 % Condensation attempts : 0
% 257.94/37.98 % Condensation successes : 0
% 257.94/37.98 % Termbank termtop insertions : 64192321
% 257.94/37.98 % Search garbage collected termcells : 9
% 257.94/37.98
% 257.94/37.98 % -------------------------------------------------
% 257.94/37.98 % User time : 35.855 s
% 257.94/37.98 % System time : 1.057 s
% 257.94/37.98 % Total time : 36.912 s
% 257.94/37.98 % Maximum resident set size: 3636 pages
% 257.94/37.98
% 257.94/37.98 % -------------------------------------------------
% 257.94/37.98 % User time : 179.805 s
% 257.94/37.98 % System time : 4.956 s
% 257.94/37.98 % Total time : 184.761 s
% 257.94/37.98 % Maximum resident set size: 4864 pages
% 257.94/37.98 % E exiting
%------------------------------------------------------------------------------