%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP664-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:44:39 PM UTC 2026
% Result : Unsatisfiable 198.32s 34.82s
% Output : CNFRefutation 198.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of clauses : 222 ( 222 unt; 0 nHn; 17 RR)
% Number of literals : 222 ( 221 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 437 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f08,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
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(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
cnf(f05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(goal1,negated_conjecture,
mult(x0,x1) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal1) ).
cnf(goal2,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal2) ).
cnf(c_0_10,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
f08 ).
cnf(c_0_11,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_12,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_14,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_15,plain,
mult(mult(X1,rd(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_18,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
f07 ).
cnf(c_0_19,plain,
ld(rd(X1,X2),rd(mult(X1,X3),X2)) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_20,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_21,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_22,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
mult(mult(rd(X1,X2),rd(X3,X2)),X2) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_24,axiom,
mult(unit,X1) = X1,
f06 ).
cnf(c_0_25,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_26,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,plain,
rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_28,plain,
rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_29,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_30,plain,
ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_32,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_33,plain,
ld(rd(rd(mult(X1,X2),X3),X2),X1) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_34,plain,
mult(rd(unit,X1),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_35,plain,
rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,plain,
mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_37,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_38,plain,
rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
mult(X1,mult(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_40,plain,
mult(rd(unit,X1),ld(rd(X2,X1),unit)) = rd(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_13]) ).
cnf(c_0_41,plain,
mult(rd(X1,X2),rd(ld(X1,X3),X2)) = rd(ld(rd(mult(X1,X2),X1),X3),X2),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_42,axiom,
mult(X1,unit) = X1,
f05 ).
cnf(c_0_43,plain,
mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_44,plain,
rd(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_38,c_0_11]) ).
cnf(c_0_45,plain,
ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_46,plain,
rd(ld(rd(mult(X1,X2),X1),X2),X2) = rd(rd(X1,X2),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_39,c_0_40]),c_0_41]),c_0_31]),c_0_42]),c_0_11]),c_0_42]) ).
cnf(c_0_47,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_48,plain,
ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_43]) ).
cnf(c_0_49,plain,
rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_50,plain,
mult(X1,ld(X2,mult(X3,X2))) = mult(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_51,plain,
rd(mult(rd(X1,X2),X3),rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_52,plain,
rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_53,plain,
rd(mult(mult(X1,X2),ld(X3,X2)),X2) = mult(X1,ld(rd(X3,X2),unit)),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_54,plain,
rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_55,plain,
ld(rd(mult(X1,X2),X1),X2) = mult(rd(rd(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_11,c_0_46]) ).
cnf(c_0_56,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_57,plain,
mult(mult(rd(unit,X1),X2),X1) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_58,plain,
rd(mult(rd(X1,X2),mult(X2,X2)),X1) = rd(X1,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_51,c_0_11]) ).
cnf(c_0_59,plain,
ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_25,c_0_52]) ).
cnf(c_0_60,plain,
mult(mult(X1,ld(rd(X2,X3),unit)),X3) = mult(mult(X1,X3),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_53]) ).
cnf(c_0_61,plain,
rd(rd(X1,ld(X2,mult(X3,X1))),X1) = rd(unit,ld(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_62,plain,
rd(rd(X1,X2),ld(X2,X1)) = ld(rd(X1,rd(X1,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_11]),c_0_56]),c_0_57]),c_0_48]) ).
cnf(c_0_63,plain,
rd(mult(X1,X2),rd(mult(X1,X2),X1)) = rd(mult(X1,mult(X2,X1)),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_64,plain,
ld(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,ld(rd(X2,X3),unit)),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_65,plain,
mult(mult(X1,ld(rd(X2,X3),X4)),X3) = mult(mult(X1,X3),ld(X2,mult(X4,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_25]),c_0_25]) ).
cnf(c_0_66,plain,
mult(X1,ld(rd(mult(X2,X1),X2),unit)) = rd(X1,rd(mult(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_13]),c_0_38]),c_0_63]),c_0_64]) ).
cnf(c_0_67,plain,
mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_11,c_0_38]) ).
cnf(c_0_68,plain,
mult(mult(X1,X2),ld(mult(X2,X1),X2)) = rd(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_24]) ).
cnf(c_0_69,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_70,plain,
mult(X1,ld(mult(X2,rd(X1,X2)),X2)) = rd(X1,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_71,plain,
ld(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_69]) ).
cnf(c_0_72,plain,
ld(X1,mult(mult(rd(X1,X2),X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_50]) ).
cnf(c_0_73,negated_conjecture,
mult(x0,x1) = unit,
goal1 ).
cnf(c_0_74,plain,
rd(mult(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(X2,rd(X1,X2))),X1),
inference(spm,[status(thm)],[c_0_26,c_0_70]) ).
cnf(c_0_75,plain,
mult(ld(X1,X2),ld(rd(X2,X1),X3)) = ld(X1,mult(rd(X2,rd(X2,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_11]) ).
cnf(c_0_76,plain,
mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_77,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_72,c_0_14]) ).
cnf(c_0_78,negated_conjecture,
rd(mult(x0,X1),x0) = mult(x0,mult(X1,x1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_42]) ).
cnf(c_0_79,plain,
rd(mult(X1,ld(X2,X1)),rd(X1,X2)) = rd(mult(X1,mult(ld(X2,X1),X2)),X1),
inference(spm,[status(thm)],[c_0_74,c_0_32]) ).
cnf(c_0_80,plain,
mult(ld(ld(X1,X2),X2),ld(X1,X3)) = ld(ld(X1,X2),mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_81,plain,
ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_76]) ).
cnf(c_0_82,plain,
ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_77,c_0_20]) ).
cnf(c_0_83,plain,
mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_71,c_0_14]) ).
cnf(c_0_84,plain,
mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_85,plain,
rd(ld(X1,X2),rd(X2,X1)) = ld(X1,rd(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_20]),c_0_75]),c_0_42]) ).
cnf(c_0_86,plain,
mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_35]) ).
cnf(c_0_87,negated_conjecture,
rd(unit,x0) = mult(x0,mult(x1,x1)),
inference(spm,[status(thm)],[c_0_78,c_0_73]) ).
cnf(c_0_88,plain,
rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_89,plain,
ld(rd(ld(X1,X2),X2),rd(X2,X1)) = rd(mult(X2,ld(ld(X1,X2),X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_32]),c_0_80]),c_0_27]) ).
cnf(c_0_90,plain,
ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_81,c_0_14]) ).
cnf(c_0_91,plain,
ld(X1,ld(X2,mult(X3,mult(X2,X1)))) = ld(mult(X2,X1),mult(mult(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
mult(rd(X1,mult(X2,rd(X1,X2))),X2) = rd(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_20]) ).
cnf(c_0_93,plain,
mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_86,c_0_14]) ).
cnf(c_0_94,negated_conjecture,
mult(mult(x0,mult(x1,x1)),mult(x0,X1)) = mult(x0,mult(x1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_87]) ).
cnf(c_0_95,plain,
ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_96,negated_conjecture,
mult(mult(x0,mult(X1,x1)),x0) = mult(x0,X1),
inference(spm,[status(thm)],[c_0_11,c_0_78]) ).
cnf(c_0_97,plain,
rd(ld(X1,mult(X2,X1)),X2) = ld(X1,rd(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_85,c_0_14]) ).
cnf(c_0_98,plain,
mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_11,c_0_88]) ).
cnf(c_0_99,plain,
ld(rd(ld(X1,mult(X2,X1)),mult(X2,X1)),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_89,c_0_14]),c_0_90]),c_0_91]),c_0_20]),c_0_14]) ).
cnf(c_0_100,plain,
rd(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(X2,rd(X1,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_92]) ).
cnf(c_0_101,plain,
ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_13,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
rd(X1,x0) = mult(x0,mult(x1,mult(X1,x1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_78]),c_0_87]),c_0_94]),c_0_13]) ).
cnf(c_0_103,plain,
ld(X1,mult(ld(rd(unit,X1),X2),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_104,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_95,c_0_42]) ).
cnf(c_0_105,negated_conjecture,
ld(x0,unit) = x1,
inference(spm,[status(thm)],[c_0_13,c_0_73]) ).
cnf(c_0_106,negated_conjecture,
ld(x1,mult(X1,x1)) = mult(mult(x0,X1),x1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_73]),c_0_24]) ).
cnf(c_0_107,negated_conjecture,
mult(x0,rd(X1,x1)) = mult(mult(x0,X1),x0),
inference(spm,[status(thm)],[c_0_96,c_0_11]) ).
cnf(c_0_108,plain,
rd(rd(ld(X1,X2),X1),rd(X2,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_109,plain,
mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_97]),c_0_98]) ).
cnf(c_0_110,plain,
rd(ld(X1,mult(X2,X1)),mult(X2,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_99]) ).
cnf(c_0_111,plain,
rd(X1,rd(mult(X2,X1),X2)) = rd(mult(X1,X2),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_100]),c_0_14]),c_0_14]) ).
cnf(c_0_112,plain,
ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_101,c_0_25]) ).
cnf(c_0_113,negated_conjecture,
mult(x0,mult(x1,mult(mult(X1,x0),x1))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_102]) ).
cnf(c_0_114,plain,
mult(ld(rd(unit,X1),X2),X1) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_103]) ).
cnf(c_0_115,negated_conjecture,
mult(x1,mult(mult(x0,X1),x1)) = mult(X1,x1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_13]),c_0_105]) ).
cnf(c_0_116,negated_conjecture,
ld(x1,X1) = mult(mult(mult(x0,X1),x0),x1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_11]),c_0_107]) ).
cnf(c_0_117,plain,
rd(rd(X1,X2),rd(mult(X2,X1),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_108,c_0_13]) ).
cnf(c_0_118,plain,
ld(X1,ld(X2,mult(X1,X2))) = ld(mult(X2,X1),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_109]) ).
cnf(c_0_119,plain,
rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_110,c_0_11]) ).
cnf(c_0_120,plain,
ld(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_32]),c_0_62]) ).
cnf(c_0_121,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_11]) ).
cnf(c_0_122,plain,
ld(X1,rd(X2,rd(X2,X1))) = rd(mult(ld(X1,X2),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_20]),c_0_85]) ).
cnf(c_0_123,plain,
rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_112]) ).
cnf(c_0_124,negated_conjecture,
ld(mult(x0,mult(x1,x1)),X1) = mult(x0,mult(mult(X1,x0),x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_102]),c_0_24]) ).
cnf(c_0_125,negated_conjecture,
rd(X1,x1) = mult(mult(x0,mult(x1,X1)),x0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_16]),c_0_73]),c_0_24]) ).
cnf(c_0_126,negated_conjecture,
mult(mult(mult(x0,mult(x1,X1)),x0),x1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_116]) ).
cnf(c_0_127,plain,
rd(X1,rd(mult(X2,mult(X1,X2)),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_117,c_0_14]) ).
cnf(c_0_128,plain,
mult(rd(unit,rd(X1,X2)),ld(X2,X1)) = ld(rd(X1,X2),ld(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_20]),c_0_49]),c_0_29]) ).
cnf(c_0_129,plain,
ld(rd(X1,X2),ld(X2,X1)) = ld(mult(X2,rd(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_118,c_0_11]) ).
cnf(c_0_130,plain,
mult(rd(unit,X1),rd(mult(X1,rd(X2,X1)),X2)) = rd(unit,rd(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_11]),c_0_56]) ).
cnf(c_0_131,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_132,plain,
rd(mult(X1,ld(ld(X2,X1),X1)),X2) = mult(X2,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_119]),c_0_89]) ).
cnf(c_0_133,plain,
ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_77,c_0_11]) ).
cnf(c_0_134,plain,
rd(rd(X1,ld(X2,X3)),X2) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[c_0_49,c_0_56]) ).
cnf(c_0_135,plain,
rd(rd(X1,X2),ld(X2,X1)) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[c_0_62,c_0_120]) ).
cnf(c_0_136,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_48,c_0_121]) ).
cnf(c_0_137,plain,
mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_138,plain,
rd(ld(X1,X2),rd(X2,X1)) = rd(mult(ld(X1,X2),X1),X2),
inference(rw,[status(thm)],[c_0_85,c_0_122]) ).
cnf(c_0_139,plain,
mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_98,c_0_14]) ).
cnf(c_0_140,negated_conjecture,
rd(x1,mult(mult(x0,X1),x1)) = mult(rd(unit,X1),x1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_96]) ).
cnf(c_0_141,negated_conjecture,
mult(mult(x0,mult(x1,x0)),x1) = mult(x0,mult(mult(x1,x0),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(spm,[status(thm)],[c_0_55,c_0_73]),c_0_102]),c_0_24]),c_0_124]),c_0_125]),c_0_102]),c_0_126]) ).
cnf(c_0_142,negated_conjecture,
rd(X1,mult(x0,mult(mult(X1,x0),x1))) = mult(x0,mult(x1,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_102]),c_0_115]),c_0_102]),c_0_24]) ).
cnf(c_0_143,negated_conjecture,
rd(unit,mult(x0,ld(X1,x1))) = mult(x0,mult(X1,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_73]),c_0_102]),c_0_115]) ).
cnf(c_0_144,negated_conjecture,
rd(mult(X1,x0),X1) = rd(X1,mult(X1,x1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_73]),c_0_42]) ).
cnf(c_0_145,plain,
mult(rd(unit,rd(X1,X2)),ld(X2,X1)) = ld(mult(X2,rd(X1,X2)),X1),
inference(rw,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_146,plain,
mult(rd(unit,rd(X1,rd(X1,X2))),X2) = rd(X1,mult(ld(X2,X1),X2)),
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_130]),c_0_131]),c_0_48]),c_0_62]),c_0_120]) ).
cnf(c_0_147,plain,
mult(rd(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(ld(X2,X1),X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_25]),c_0_79]) ).
cnf(c_0_148,plain,
rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_32,c_0_133]) ).
cnf(c_0_149,plain,
rd(rd(X1,mult(ld(X2,X1),X2)),X2) = rd(unit,rd(X1,rd(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_130]) ).
cnf(c_0_150,plain,
mult(rd(unit,X1),ld(X2,rd(X3,X1))) = rd(ld(mult(X2,X1),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_88]),c_0_13]) ).
cnf(c_0_151,plain,
rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_36]),c_0_137]),c_0_13]) ).
cnf(c_0_152,plain,
ld(rd(mult(ld(X1,X2),X1),X2),ld(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_25,c_0_138]) ).
cnf(c_0_153,plain,
mult(X1,rd(mult(ld(X1,X2),X1),X2)) = rd(X2,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_122]) ).
cnf(c_0_154,negated_conjecture,
ld(x0,mult(mult(x0,X1),x0)) = rd(X1,x1),
inference(spm,[status(thm)],[c_0_13,c_0_107]) ).
cnf(c_0_155,negated_conjecture,
mult(x1,ld(mult(mult(x0,X1),x1),unit)) = ld(X1,x1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_115]),c_0_14]) ).
cnf(c_0_156,negated_conjecture,
mult(x1,ld(mult(X1,x1),unit)) = mult(ld(X1,x0),x1),
inference(spm,[status(thm)],[c_0_139,c_0_73]) ).
cnf(c_0_157,negated_conjecture,
mult(rd(unit,mult(x1,x0)),x1) = mult(x0,mult(x1,x1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
cnf(c_0_158,negated_conjecture,
ld(mult(x0,mult(X1,x1)),unit) = mult(x0,ld(X1,x1)),
inference(spm,[status(thm)],[c_0_25,c_0_143]) ).
cnf(c_0_159,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_13,c_0_42]) ).
cnf(c_0_160,plain,
ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_25,c_0_127]) ).
cnf(c_0_161,plain,
mult(rd(mult(X1,mult(X2,X1)),X1),X3) = mult(X1,mult(mult(X2,rd(X3,X1)),X1)),
inference(spm,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_162,negated_conjecture,
mult(x0,mult(rd(X1,X2),x1)) = rd(mult(x0,X1),mult(x0,X2)),
inference(spm,[status(thm)],[c_0_78,c_0_31]) ).
cnf(c_0_163,negated_conjecture,
mult(rd(X1,mult(X1,x1)),X1) = mult(X1,x0),
inference(spm,[status(thm)],[c_0_11,c_0_144]) ).
cnf(c_0_164,plain,
rd(mult(mult(X1,X2),ld(mult(X3,X2),X4)),X2) = mult(X1,ld(X3,rd(X4,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_88]) ).
cnf(c_0_165,plain,
mult(X1,ld(mult(ld(X2,X1),X2),unit)) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_25]),c_0_146]),c_0_147]),c_0_59]) ).
cnf(c_0_166,plain,
rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_148,c_0_11]) ).
cnf(c_0_167,plain,
rd(X1,rd(mult(X1,mult(X2,X2)),X2)) = rd(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_149]),c_0_14]),c_0_54]),c_0_83]),c_0_20]) ).
cnf(c_0_168,plain,
mult(X1,rd(ld(mult(X1,X2),X3),X2)) = mult(rd(X1,mult(X1,X2)),rd(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_150]),c_0_31]),c_0_42]) ).
cnf(c_0_169,plain,
ld(rd(X1,rd(X1,X2)),mult(X1,X2)) = rd(rd(X1,X2),ld(X2,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_170,negated_conjecture,
rd(ld(x0,X1),x1) = ld(x0,mult(X1,x0)),
inference(spm,[status(thm)],[c_0_154,c_0_20]) ).
cnf(c_0_171,negated_conjecture,
mult(ld(mult(x0,X1),x0),x1) = ld(X1,x1),
inference(rw,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_172,negated_conjecture,
mult(mult(x1,x0),mult(mult(x0,rd(x1,mult(x1,x0))),mult(x1,x0))) = mult(x1,x0),
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_156,c_0_157]),c_0_158]),c_0_159]),c_0_42]),c_0_160]),c_0_161]) ).
cnf(c_0_173,negated_conjecture,
rd(unit,mult(x0,mult(x1,x1))) = mult(x0,mult(x1,x0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_73]) ).
cnf(c_0_174,plain,
ld(rd(mult(X1,X2),X1),mult(X2,rd(unit,X2))) = rd(rd(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(spm,[status(thm)],[c_0_164,c_0_165]),c_0_83]),c_0_166]),c_0_167]),c_0_14]),c_0_90]),c_0_36]) ).
cnf(c_0_175,plain,
rd(ld(rd(mult(X1,X2),X1),X3),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_11]),c_0_41]) ).
cnf(c_0_176,plain,
ld(rd(X1,X2),mult(X1,ld(X2,X1))) = rd(X2,ld(ld(X2,X1),unit)),
inference(spm,[status(thm)],[c_0_169,c_0_32]) ).
cnf(c_0_177,plain,
mult(rd(rd(X1,X2),X3),mult(X3,X2)) = mult(X3,mult(X2,ld(mult(X3,X2),X1))),
inference(spm,[status(thm)],[c_0_69,c_0_98]) ).
cnf(c_0_178,negated_conjecture,
mult(ld(x0,mult(X1,x0)),x1) = ld(x0,X1),
inference(spm,[status(thm)],[c_0_11,c_0_170]) ).
cnf(c_0_179,negated_conjecture,
mult(mult(x0,mult(x1,mult(X1,x1))),x0) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_125]) ).
cnf(c_0_180,negated_conjecture,
mult(x0,mult(x1,mult(mult(mult(X1,x0),x1),x1))) = mult(X1,mult(x0,mult(x1,x1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_73]),c_0_87]),c_0_102]) ).
cnf(c_0_181,negated_conjecture,
ld(ld(mult(x0,X1),x0),ld(X1,x1)) = x1,
inference(spm,[status(thm)],[c_0_13,c_0_171]) ).
cnf(c_0_182,negated_conjecture,
mult(x0,rd(x1,mult(x1,x0))) = rd(unit,mult(x1,x0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_172]),c_0_29]),c_0_121]) ).
cnf(c_0_183,negated_conjecture,
ld(mult(x0,mult(x1,x0)),unit) = mult(x0,mult(x1,x1)),
inference(spm,[status(thm)],[c_0_25,c_0_173]) ).
cnf(c_0_184,plain,
mult(rd(mult(X1,X2),X1),rd(rd(X1,X2),X1)) = mult(X2,rd(unit,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_174]) ).
cnf(c_0_185,plain,
mult(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(rd(unit,X2),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_175,c_0_176]),c_0_13]),c_0_49]),c_0_56]),c_0_121]),c_0_13]),c_0_14]),c_0_177]) ).
cnf(c_0_186,negated_conjecture,
ld(x0,rd(X1,x0)) = mult(ld(x0,X1),x1),
inference(spm,[status(thm)],[c_0_178,c_0_11]) ).
cnf(c_0_187,negated_conjecture,
mult(mult(X1,mult(x0,mult(x1,x1))),x0) = mult(mult(X1,x0),x1),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_188,negated_conjecture,
mult(mult(x1,x0),mult(x0,mult(x1,x1))) = x1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_160]),c_0_25]),c_0_59]),c_0_183]) ).
cnf(c_0_189,plain,
ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_84]) ).
cnf(c_0_190,plain,
mult(rd(unit,X1),rd(mult(X1,X1),X2)) = rd(unit,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_29]) ).
cnf(c_0_191,plain,
mult(ld(X1,X2),rd(unit,ld(X1,X2))) = mult(ld(rd(X1,X2),unit),rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_32]),c_0_35]) ).
cnf(c_0_192,plain,
mult(ld(X1,X2),ld(X2,rd(X2,X1))) = mult(ld(X1,unit),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_185]),c_0_71]),c_0_11]) ).
cnf(c_0_193,plain,
ld(mult(X1,X2),rd(mult(X1,X2),X1)) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_68]) ).
cnf(c_0_194,negated_conjecture,
mult(ld(x0,X1),x1) = mult(x1,mult(X1,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_102]),c_0_13]) ).
cnf(c_0_195,plain,
mult(rd(mult(X1,X2),X1),mult(X3,X1)) = mult(X1,mult(mult(rd(X2,X1),X3),X1)),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_196,negated_conjecture,
mult(mult(mult(x1,x0),x0),x1) = mult(x1,x0),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,plain,
mult(mult(X1,X2),rd(ld(X2,X3),X4)) = mult(mult(X1,rd(X3,mult(X2,X4))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_189]),c_0_14]) ).
cnf(c_0_198,plain,
mult(ld(rd(X1,X2),unit),rd(X1,X2)) = mult(rd(X2,X1),rd(unit,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_134]),c_0_20]),c_0_190]),c_0_191]) ).
cnf(c_0_199,plain,
mult(ld(ld(X1,X2),X2),ld(X2,X1)) = mult(ld(ld(X1,X2),unit),X1),
inference(spm,[status(thm)],[c_0_192,c_0_32]) ).
cnf(c_0_200,negated_conjecture,
ld(mult(x0,X1),mult(x0,mult(X1,x1))) = ld(mult(X1,x0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_102]),c_0_115]) ).
cnf(c_0_201,negated_conjecture,
ld(mult(x0,mult(X1,x1)),mult(x0,X2)) = mult(x0,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_102]),c_0_115]) ).
cnf(c_0_202,negated_conjecture,
ld(x0,X1) = mult(x1,mult(mult(X1,x0),x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_194]),c_0_73]),c_0_42]) ).
cnf(c_0_203,negated_conjecture,
mult(x1,mult(mult(mult(x0,X1),X2),x1)) = mult(X1,mult(X2,x1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_115]),c_0_14]),c_0_125]),c_0_115]),c_0_96]) ).
cnf(c_0_204,negated_conjecture,
mult(x0,mult(x1,mult(x1,x0))) = mult(x1,x0),
inference(spm,[status(thm)],[c_0_113,c_0_196]) ).
cnf(c_0_205,plain,
mult(mult(X1,rd(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),rd(unit,X3)),
inference(spm,[status(thm)],[c_0_197,c_0_159]) ).
cnf(c_0_206,negated_conjecture,
mult(x0,ld(rd(x1,X1),unit)) = ld(rd(unit,mult(x0,X1)),x0),
inference(spm,[status(thm)],[c_0_64,c_0_73]) ).
cnf(c_0_207,plain,
rd(mult(mult(X1,ld(mult(X1,X2),X1)),X2),X1) = mult(ld(X2,unit),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_198,c_0_52]),c_0_16]),c_0_86]),c_0_54]),c_0_184]),c_0_32]) ).
cnf(c_0_208,negated_conjecture,
mult(X1,ld(mult(X1,x0),X1)) = mult(x1,mult(x0,mult(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_159]),c_0_42]),c_0_13]),c_0_201]),c_0_159]),c_0_42]),c_0_202]),c_0_24]),c_0_73]),c_0_42]) ).
cnf(c_0_209,negated_conjecture,
mult(mult(x0,mult(X1,mult(X2,x1))),x0) = mult(mult(x0,X1),X2),
inference(spm,[status(thm)],[c_0_179,c_0_203]) ).
cnf(c_0_210,negated_conjecture,
mult(x0,mult(mult(x1,mult(x1,x0)),X1)) = mult(x1,mult(x0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_204]),c_0_102]),c_0_113]) ).
cnf(c_0_211,negated_conjecture,
mult(mult(X1,rd(unit,mult(x0,X2))),x0) = mult(mult(X1,x0),rd(x1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_32]),c_0_32]) ).
cnf(c_0_212,negated_conjecture,
mult(X1,rd(X2,mult(X2,x1))) = rd(mult(mult(X1,X2),x0),X2),
inference(spm,[status(thm)],[c_0_16,c_0_144]) ).
cnf(c_0_213,plain,
mult(mult(X1,ld(mult(X1,X2),X1)),X2) = mult(mult(ld(X2,unit),X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_207]) ).
cnf(c_0_214,negated_conjecture,
ld(rd(X1,mult(X1,x1)),unit) = rd(mult(x1,mult(x0,mult(X1,x1))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_208]),c_0_144]) ).
cnf(c_0_215,negated_conjecture,
mult(mult(x1,mult(x0,mult(X1,x1))),x0) = mult(mult(x1,x0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_204]) ).
cnf(c_0_216,negated_conjecture,
mult(mult(X1,mult(x0,mult(X2,x1))),x0) = mult(mult(X1,x0),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_143]),c_0_32]) ).
cnf(c_0_217,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
inference(fof_simplification,[status(thm)],[goal2]) ).
cnf(c_0_218,negated_conjecture,
rd(mult(mult(x1,x0),mult(X1,X2)),X2) = mult(mult(x1,x0),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_212]),c_0_11]),c_0_215]),c_0_14]),c_0_212]),c_0_65]),c_0_208]),c_0_216]) ).
cnf(c_0_219,negated_conjecture,
mult(mult(x1,x0),mult(x2,x3)) != mult(mult(mult(x1,x0),x2),x3),
c_0_217 ).
cnf(c_0_220,negated_conjecture,
mult(mult(mult(x1,x0),X1),X2) = mult(mult(x1,x0),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_218]) ).
cnf(c_0_221,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP664-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n002.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Sun Sep 20 20:33:03 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.57 Running first-order theorem proving
% 0.16/0.57 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 198.32/34.82 % Version: 3.5.1
% 198.32/34.82 % Preprocessing class: FSSSSMSSSSSNFFN.
% 198.32/34.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.32/34.82 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 198.32/34.82 % Starting new_bool_3 with 300s (1) cores
% 198.32/34.82 % Starting new_bool_1 with 300s (1) cores
% 198.32/34.82 % Starting sh5l with 300s (1) cores
% 198.32/34.82 % new_bool_3 with pid 1666126 completed with status 9
% 198.32/34.82 % new_bool_1 with pid 1666127 completed with status 9
% 198.32/34.82 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1666125 completed with status 0
% 198.32/34.82 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 198.32/34.82 % Preprocessing class: FSSSSMSSSSSNFFN.
% 198.32/34.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.32/34.82 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 198.32/34.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 198.32/34.82 % No SInE strategy applied
% 198.32/34.82 % Search class: FUUPM-FFSF22-MFFFFFNN
% 198.32/34.82 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 198.32/34.82 % Starting SubtermCWHack with 136s (1) cores
% 198.32/34.82 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 198.32/34.82 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 198.32/34.82 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 198.32/34.82 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 198.32/34.82 % U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1666136 completed with status 0
% 198.32/34.82 % Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 198.32/34.82 % Preprocessing class: FSSSSMSSSSSNFFN.
% 198.32/34.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.32/34.82 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 198.32/34.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 198.32/34.82 % No SInE strategy applied
% 198.32/34.82 % Search class: FUUPM-FFSF22-MFFFFFNN
% 198.32/34.82 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 198.32/34.82 % Starting SubtermCWHack with 136s (1) cores
% 198.32/34.82 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 198.32/34.82 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 198.32/34.82 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 198.32/34.82 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 198.32/34.82 % Preprocessing time : 0.001 s
% 198.32/34.82 % Presaturation interreduction done
% 198.32/34.82
% 198.32/34.82 % Proof found!
% 198.32/34.82 % SZS status Unsatisfiable
% 198.32/34.82 % SZS output start CNFRefutation
% See solution above
% 198.32/34.82 % Parsed axioms : 10
% 198.32/34.82 % Removed by relevancy pruning/SinE : 0
% 198.32/34.82 % Initial clauses : 10
% 198.32/34.82 % Removed in clause preprocessing : 0
% 198.32/34.82 % Initial clauses in saturation : 10
% 198.32/34.82 % Processed clauses : 4807
% 198.32/34.82 % ...of these trivial : 2400
% 198.32/34.82 % ...subsumed : 483
% 198.32/34.82 % ...remaining for further processing : 1924
% 198.32/34.82 % Other redundant clauses eliminated : 0
% 198.32/34.82 % Clauses deleted for lack of memory : 0
% 198.32/34.82 % Backward-subsumed : 0
% 198.32/34.82 % Backward-rewritten : 458
% 198.32/34.82 % Generated clauses : 959645
% 198.32/34.82 % ...of the previous two non-redundant : 859143
% 198.32/34.82 % ...aggressively subsumed : 0
% 198.32/34.82 % Contextual simplify-reflections : 0
% 198.32/34.82 % Paramodulations : 959645
% 198.32/34.82 % Factorizations : 0
% 198.32/34.82 % NegExts : 0
% 198.32/34.82 % Equation resolutions : 0
% 198.32/34.82 % Disequality decompositions : 0
% 198.32/34.82 % Total rewrite steps : 2239297
% 198.32/34.82 % ...of those cached : 2056489
% 198.32/34.82 % Propositional unsat checks : 0
% 198.32/34.82 % Propositional check models : 0
% 198.32/34.82 % Propositional check unsatisfiable : 0
% 198.32/34.82 % Propositional clauses : 0
% 198.32/34.82 % Propositional clauses after purity: 0
% 198.32/34.82 % Propositional unsat core size : 0
% 198.32/34.82 % Propositional preprocessing time : 0.000
% 198.32/34.82 % Propositional encoding time : 0.000
% 198.32/34.82 % Propositional solver time : 0.000
% 198.32/34.82 % Success case prop preproc time : 0.000
% 198.32/34.82 % Success case prop encoding time : 0.000
% 198.32/34.82 % Success case prop solver time : 0.000
% 198.32/34.82 % Current number of processed clauses : 1456
% 198.32/34.82 % Positive orientable unit clauses : 1442
% 198.32/34.82 % Positive unorientable unit clauses: 14
% 198.32/34.82 % Negative unit clauses : 0
% 198.32/34.82 % Non-unit-clauses : 0
% 198.32/34.82 % Current number of unprocessed clauses: 852959
% 198.32/34.82 % ...number of literals in the above : 852959
% 198.32/34.82 % Current number of archived formulas : 0
% 198.32/34.82 % Current number of archived clauses : 468
% 198.32/34.82 % Clause-clause subsumption calls (NU) : 0
% 198.32/34.82 % Rec. Clause-clause subsumption calls : 0
% 198.32/34.82 % Non-unit clause-clause subsumptions : 0
% 198.32/34.82 % Unit Clause-clause subsumption calls : 1205
% 198.32/34.82 % Rewrite failures with RHS unbound : 0
% 198.32/34.82 % BW rewrite match attempts : 8698
% 198.32/34.82 % BW rewrite match successes : 453
% 198.32/34.82 % Condensation attempts : 0
% 198.32/34.82 % Condensation successes : 0
% 198.32/34.82 % Termbank termtop insertions : 23421955
% 198.32/34.82 % Search garbage collected termcells : 2
% 198.32/34.82
% 198.32/34.82 % -------------------------------------------------
% 198.32/34.82 % User time : 32.813 s
% 198.32/34.82 % System time : 1.022 s
% 198.32/34.82 % Total time : 33.835 s
% 198.32/34.82 % Maximum resident set size: 3580 pages
% 198.32/34.82
% 198.32/34.82 % -------------------------------------------------
% 198.32/34.82 % User time : 164.986 s
% 198.32/34.82 % System time : 5.123 s
% 198.32/34.82 % Total time : 170.108 s
% 198.32/34.82 % Maximum resident set size: 4608 pages
% 198.32/34.82 % E exiting
%------------------------------------------------------------------------------