%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : BOO026-1 : TPTP v9.2.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:11:20 PM UTC 2026
% Result : Unsatisfiable 1.53s 1.81s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of clauses : 109 ( 109 unt; 0 nHn; 24 RR)
% Number of literals : 109 ( 108 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 141 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(add_multiply_property,axiom,
add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X3,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_multiply_property) ).
cnf(multiply_add_property,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(pixley1_dual,axiom,
multiply(add(X1,inverse(X1)),multiply(add(X1,X2),add(inverse(X1),X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1_dual) ).
cnf(additive_inverse,axiom,
add(X1,inverse(X1)) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse) ).
cnf(multiplicative_inverse,axiom,
multiply(X1,inverse(X1)) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse) ).
cnf(pixley1,axiom,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1) ).
cnf(pixley2_dual,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X2),add(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2_dual) ).
cnf(pixley3,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3) ).
cnf(pixley3_dual,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X1),add(inverse(X2),X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3_dual) ).
cnf(pixley2,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2) ).
cnf(prove_multiply_add,negated_conjecture,
multiply(add(a,b),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_add) ).
cnf(c_0_11,axiom,
add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X3,X1)),
add_multiply_property ).
cnf(c_0_12,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
multiply_add_property ).
cnf(c_0_13,axiom,
multiply(add(X1,inverse(X1)),multiply(add(X1,X2),add(inverse(X1),X2))) = X2,
pixley1_dual ).
cnf(c_0_14,axiom,
add(X1,inverse(X1)) = n1,
additive_inverse ).
cnf(c_0_15,axiom,
multiply(X1,inverse(X1)) = n0,
multiplicative_inverse ).
cnf(c_0_16,axiom,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
pixley1 ).
cnf(c_0_17,plain,
multiply(multiply(X1,add(X2,X3)),add(X4,multiply(X3,X1))) = add(multiply(X3,X1),multiply(multiply(X2,X1),X4)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
multiply(n1,add(X1,n0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_11]),c_0_15]) ).
cnf(c_0_19,plain,
multiply(inverse(X1),add(X2,X1)) = add(multiply(X2,inverse(X1)),n0),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_20,plain,
add(n0,multiply(X1,n1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_15]),c_0_12]),c_0_14]) ).
cnf(c_0_21,plain,
add(multiply(n0,n1),multiply(multiply(X1,n1),X2)) = multiply(X1,add(X2,multiply(n0,n1))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
add(X1,multiply(X2,add(X1,n0))) = multiply(add(X1,n0),add(n1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,plain,
add(add(multiply(X1,inverse(X2)),n0),multiply(X3,add(X1,X2))) = multiply(add(X1,X2),add(inverse(X2),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_24,plain,
multiply(X1,add(X2,multiply(X1,n1))) = add(multiply(X1,n1),multiply(n0,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_25,plain,
multiply(X1,add(n1,multiply(n0,n1))) = multiply(n1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_20]) ).
cnf(c_0_26,plain,
add(X1,multiply(n0,add(X1,n0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_22]),c_0_20]) ).
cnf(c_0_27,plain,
multiply(add(X1,X1),add(inverse(X1),X2)) = add(add(n0,n0),multiply(X2,add(X1,X1))),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_28,plain,
add(add(X1,multiply(X2,X3)),multiply(X4,add(X3,X1))) = multiply(add(X3,X1),add(add(X2,X1),X4)),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_29,plain,
multiply(n1,n0) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_12]),c_0_18]) ).
cnf(c_0_30,plain,
multiply(X1,add(X2,multiply(n0,add(X1,n0)))) = add(multiply(n0,add(X1,n0)),multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_31,plain,
add(add(n0,n0),multiply(X1,add(X1,X1))) = add(X1,n0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_27]),c_0_15]) ).
cnf(c_0_32,plain,
multiply(add(n0,X1),add(add(n1,X1),X2)) = add(add(X1,n0),multiply(X2,add(n0,X1))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
multiply(n0,add(n1,X1)) = add(n0,multiply(X1,n0)),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_34,plain,
multiply(n0,add(n0,n0)) = add(n0,multiply(n0,n0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_12]),c_0_11]) ).
cnf(c_0_35,plain,
multiply(add(X1,inverse(X2)),n1) = add(inverse(X2),multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_36,plain,
add(add(X1,n0),multiply(X1,add(n0,X1))) = add(X1,add(n0,multiply(X1,n0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
add(n0,add(n0,multiply(n0,n0))) = n0,
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_38,plain,
add(inverse(X1),multiply(X1,X1)) = multiply(n1,n1),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_39,plain,
add(n0,n0) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_37]) ).
cnf(c_0_40,plain,
add(inverse(add(X1,X2)),add(X2,multiply(X1,X1))) = multiply(n1,n1),
inference(spm,[status(thm)],[c_0_38,c_0_11]) ).
cnf(c_0_41,plain,
add(n1,add(n0,multiply(n0,n0))) = n1,
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_42,plain,
add(n0,multiply(n0,n0)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_39]),c_0_39]),c_0_37]) ).
cnf(c_0_43,plain,
add(inverse(add(X1,multiply(X2,X1))),multiply(X1,add(X2,X1))) = multiply(n1,n1),
inference(spm,[status(thm)],[c_0_40,c_0_12]) ).
cnf(c_0_44,plain,
multiply(inverse(n0),n0) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_39]),c_0_15]),c_0_39]) ).
cnf(c_0_45,plain,
add(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
inverse(n0) = multiply(n1,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_39]),c_0_26]) ).
cnf(c_0_47,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X2),add(inverse(X2),X2))) = X1,
pixley2_dual ).
cnf(c_0_48,plain,
multiply(n1,n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_45]),c_0_29]),c_0_39]),c_0_46]),c_0_12]),c_0_18]) ).
cnf(c_0_49,plain,
multiply(add(X1,multiply(X2,n1)),X2) = add(multiply(X2,n1),multiply(X1,n0)),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_50,plain,
add(multiply(n0,add(X1,n0)),multiply(X1,X1)) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_11]),c_0_20]) ).
cnf(c_0_51,plain,
multiply(add(X1,inverse(X2)),add(X2,multiply(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_47,c_0_11]) ).
cnf(c_0_52,plain,
inverse(n0) = n1,
inference(rw,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_53,plain,
add(n0,add(multiply(n1,n1),multiply(X1,n0))) = add(X1,multiply(n1,n1)),
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_54,plain,
add(multiply(n0,add(add(n1,n0),n0)),n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_22]),c_0_33]),c_0_41]),c_0_33]),c_0_41]) ).
cnf(c_0_55,plain,
multiply(n0,add(X1,n0)) = add(n0,multiply(n0,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
cnf(c_0_56,plain,
add(n0,multiply(add(n0,multiply(n0,n0)),n0)) = multiply(n0,n1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_33]) ).
cnf(c_0_57,plain,
multiply(add(X1,n1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_20]) ).
cnf(c_0_58,plain,
add(n0,add(multiply(n1,n1),n0)) = add(n1,multiply(n1,n1)),
inference(spm,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_59,plain,
add(n0,n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_33]),c_0_37]) ).
cnf(c_0_60,plain,
multiply(n0,n1) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_42]),c_0_42]) ).
cnf(c_0_61,plain,
add(multiply(X1,add(X2,n0)),X2) = multiply(add(X2,n0),add(X1,n1)),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_62,plain,
add(X1,n1) = add(n1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_57]),c_0_57]) ).
cnf(c_0_63,plain,
add(n1,n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_48]),c_0_45]),c_0_59]),c_0_48]) ).
cnf(c_0_64,plain,
multiply(X1,n1) = multiply(n1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_60]),c_0_45]) ).
cnf(c_0_65,plain,
multiply(X1,X1) = add(multiply(X1,n1),multiply(n0,n0)),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_66,plain,
add(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_61,c_0_62]),c_0_18]),c_0_63]),c_0_64]),c_0_18]) ).
cnf(c_0_67,plain,
multiply(n0,n0) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_42]) ).
cnf(c_0_68,plain,
add(multiply(X1,n1),n0) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_60]),c_0_18]) ).
cnf(c_0_69,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_66]),c_0_66]) ).
cnf(c_0_70,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
pixley3 ).
cnf(c_0_71,plain,
add(n0,multiply(n1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_45]),c_0_18]) ).
cnf(c_0_72,plain,
multiply(n1,inverse(X1)) = inverse(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_51,c_0_66]),c_0_65]),c_0_67]),c_0_68]),c_0_14]),c_0_69]) ).
cnf(c_0_73,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X1),add(inverse(X2),X1))) = X1,
pixley3_dual ).
cnf(c_0_74,plain,
multiply(inverse(X1),add(X1,X2)) = add(n0,multiply(X2,inverse(X1))),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_75,plain,
add(multiply(X1,inverse(X2)),multiply(X1,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_70,c_0_12]) ).
cnf(c_0_76,plain,
add(n0,inverse(X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
multiply(add(X1,inverse(X2)),add(X1,multiply(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_73,c_0_11]) ).
cnf(c_0_78,plain,
add(add(n0,multiply(X1,inverse(X2))),multiply(X3,add(X2,X1))) = multiply(add(X2,X1),add(inverse(X2),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_74]) ).
cnf(c_0_79,plain,
multiply(n0,inverse(X1)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_12]),c_0_66]),c_0_69]) ).
cnf(c_0_80,plain,
add(n1,inverse(X1)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_72]),c_0_11]),c_0_48]),c_0_62]) ).
cnf(c_0_81,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
pixley2 ).
cnf(c_0_82,plain,
add(n0,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(spm,[status(thm)],[c_0_78,c_0_18]),c_0_79]),c_0_66]),c_0_62]),c_0_80]),c_0_64]),c_0_18]) ).
cnf(c_0_83,plain,
multiply(n1,add(X1,multiply(n0,n1))) = multiply(n1,add(n0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_25]),c_0_12]) ).
cnf(c_0_84,plain,
multiply(inverse(n1),n1) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_63]),c_0_15]),c_0_39]) ).
cnf(c_0_85,plain,
add(multiply(X1,inverse(X2)),multiply(X2,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_81,c_0_12]) ).
cnf(c_0_86,plain,
multiply(X1,n1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_82]) ).
cnf(c_0_87,plain,
multiply(n1,add(n0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_60]),c_0_18]) ).
cnf(c_0_88,plain,
add(n0,add(inverse(X1),multiply(X2,X1))) = add(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_20,c_0_35]) ).
cnf(c_0_89,plain,
inverse(n1) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_84]),c_0_39]) ).
cnf(c_0_90,plain,
add(inverse(X1),X1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_72]),c_0_86]) ).
cnf(c_0_91,plain,
multiply(n1,X1) = X1,
inference(rw,[status(thm)],[c_0_87,c_0_82]) ).
cnf(c_0_92,plain,
add(n0,X1) = add(X1,n0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_20]) ).
cnf(c_0_93,plain,
add(X1,multiply(inverse(X1),X2)) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_90]),c_0_91]) ).
cnf(c_0_94,plain,
add(X1,n0) = X1,
inference(rw,[status(thm)],[c_0_92,c_0_82]) ).
cnf(c_0_95,plain,
add(n1,X1) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_86]),c_0_14]) ).
cnf(c_0_96,plain,
add(inverse(inverse(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_15]),c_0_94]) ).
cnf(c_0_97,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_95]),c_0_91]),c_0_91]) ).
cnf(c_0_98,plain,
add(X1,inverse(inverse(X1))) = X1,
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_99,plain,
add(multiply(X1,inverse(inverse(X1))),n0) = multiply(inverse(inverse(X1)),n1),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_100,plain,
multiply(X1,add(X2,X1)) = add(X1,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_66]) ).
cnf(c_0_101,plain,
inverse(inverse(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_85,c_0_98]),c_0_69]),c_0_15]),c_0_99]),c_0_64]),c_0_72]) ).
cnf(c_0_102,negated_conjecture,
multiply(add(a,b),b) != b,
prove_multiply_add ).
cnf(c_0_103,plain,
add(multiply(X1,add(X2,inverse(X1))),multiply(multiply(X2,inverse(X1)),X3)) = multiply(X2,add(X3,multiply(X1,add(X2,inverse(X1))))),
inference(spm,[status(thm)],[c_0_11,c_0_85]) ).
cnf(c_0_104,plain,
multiply(X1,add(X1,X2)) = add(X1,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_100,c_0_97]) ).
cnf(c_0_105,plain,
multiply(n0,X1) = n0,
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
add(b,multiply(b,a)) != b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_69]),c_0_100]) ).
cnf(c_0_107,plain,
add(X1,multiply(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_15]),c_0_94]),c_0_15]),c_0_105]),c_0_94]),c_0_15]),c_0_94]),c_0_100]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO026-1 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n020.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 10:45:20 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.53/1.81 % Version : CSE_E---1.7
% 1.53/1.81 % Problem : theBenchmark.p
% 1.53/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.81 % SZS output start CNFRefutation
% See solution above
% 1.53/1.81 % Total time : 1.372s
%------------------------------------------------------------------------------