%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : BOO023-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:07:01 PM UTC 2026
% Result : Unsatisfiable 0.21s 6.01s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 8
% Syntax : Number of clauses : 110 ( 110 unt; 0 nHn; 5 RR)
% Number of literals : 110 ( 109 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 218 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X1,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add) ).
cnf(multiply_add_property,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(pixley1,axiom,
pixley(X1,X1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1) ).
cnf(pixley_defn,axiom,
pixley(X1,X2,X3) = add(multiply(X1,inverse(X2)),add(multiply(X1,X3),multiply(inverse(X2),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley_defn) ).
cnf(additive_inverse,axiom,
add(X1,inverse(X1)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse) ).
cnf(pixley2,axiom,
pixley(X1,X2,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley2) ).
cnf(pixley3,axiom,
pixley(X1,X2,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley3) ).
cnf(prove_add_multiply_property,negated_conjecture,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_add_multiply_property) ).
cnf(c_0_8,axiom,
multiply(add(X1,X2),X2) = X2,
multiply_add ).
cnf(c_0_9,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
multiply_add_property ).
cnf(c_0_10,plain,
multiply(multiply(X1,add(X2,X3)),multiply(X3,X1)) = multiply(X3,X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
multiply(multiply(X1,multiply(X2,add(X3,X4))),multiply(multiply(X4,X2),X1)) = multiply(multiply(X4,X2),X1),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_12,plain,
multiply(multiply(multiply(X1,X2),multiply(add(X3,X1),add(X4,X2))),multiply(X1,X2)) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,add(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_14,plain,
multiply(X1,add(X2,add(X3,X1))) = add(multiply(X2,X1),X1),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_15,plain,
multiply(X1,add(multiply(X1,add(X2,X1)),X3)) = add(X1,multiply(X3,X1)),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_16,plain,
multiply(add(X1,X2),add(multiply(X3,X2),X2)) = add(multiply(X3,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_14]),c_0_14]) ).
cnf(c_0_17,plain,
add(X1,multiply(multiply(X2,add(X3,X1)),X1)) = multiply(X1,multiply(add(X3,X1),add(X1,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_18,plain,
multiply(add(X1,X2),add(X2,X2)) = add(X2,X2),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_19,plain,
multiply(X1,add(X1,X1)) = add(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_18]) ).
cnf(c_0_20,plain,
add(add(X1,X1),multiply(X2,add(X1,X1))) = multiply(add(X1,X1),add(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_21,axiom,
pixley(X1,X1,X2) = X2,
pixley1 ).
cnf(c_0_22,axiom,
pixley(X1,X2,X3) = add(multiply(X1,inverse(X2)),add(multiply(X1,X3),multiply(inverse(X2),X3))),
pixley_defn ).
cnf(c_0_23,plain,
add(add(X1,X1),add(X1,X1)) = add(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_18]) ).
cnf(c_0_24,plain,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
add(X1,inverse(X1)) = n1,
additive_inverse ).
cnf(c_0_26,plain,
multiply(add(X1,X1),add(X2,X2)) = multiply(X2,add(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_9]),c_0_9]) ).
cnf(c_0_27,plain,
add(multiply(X1,inverse(X1)),multiply(X2,n1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_9]),c_0_25]) ).
cnf(c_0_28,plain,
multiply(add(X1,X1),multiply(X2,add(X3,X3))) = multiply(multiply(X3,X2),add(X1,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_9]) ).
cnf(c_0_29,plain,
add(multiply(X1,inverse(X1)),n1) = add(X2,n1),
inference(spm,[status(thm)],[c_0_27,c_0_8]) ).
cnf(c_0_30,plain,
multiply(multiply(X1,X1),add(X2,X2)) = multiply(X1,add(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_26]) ).
cnf(c_0_31,plain,
multiply(n1,inverse(X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_8,c_0_25]) ).
cnf(c_0_32,plain,
add(X1,n1) = add(X2,n1),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_33,plain,
multiply(X1,add(add(X2,X1),X3)) = add(X1,multiply(X3,X1)),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_34,plain,
multiply(add(X1,X1),add(X2,multiply(X3,X3))) = multiply(add(X1,X1),add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_30]),c_0_9]) ).
cnf(c_0_35,plain,
add(inverse(n1),multiply(X1,n1)) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
cnf(c_0_36,plain,
multiply(add(X1,X1),add(X2,n1)) = multiply(n1,add(X1,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_37,plain,
multiply(X1,add(X2,multiply(X1,add(X3,X1)))) = add(multiply(X2,X1),X1),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_38,plain,
multiply(X1,add(X2,n1)) = add(X1,multiply(n1,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_39,plain,
multiply(add(X1,n1),add(X2,n1)) = add(X2,n1),
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_40,plain,
multiply(add(X1,X1),n1) = multiply(n1,add(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_41,plain,
multiply(n1,add(X1,n1)) = add(n1,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_8]) ).
cnf(c_0_42,plain,
add(n1,n1) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_40]),c_0_41]) ).
cnf(c_0_43,plain,
multiply(multiply(X1,X2),multiply(X2,add(X1,X1))) = multiply(X2,add(X1,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_44,plain,
multiply(add(X1,n1),add(X2,X2)) = multiply(X2,add(X1,n1)),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_45,plain,
add(X1,n1) = n1,
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_46,plain,
multiply(multiply(X1,X1),add(X1,X1)) = add(X1,X1),
inference(spm,[status(thm)],[c_0_43,c_0_19]) ).
cnf(c_0_47,plain,
multiply(n1,add(X1,X1)) = multiply(X1,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45]) ).
cnf(c_0_48,plain,
multiply(add(multiply(X1,X2),X2),add(X3,X3)) = multiply(X2,add(X3,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_8]),c_0_26]),c_0_14]) ).
cnf(c_0_49,plain,
multiply(add(X1,X1),multiply(X1,multiply(X1,X1))) = multiply(X1,multiply(X1,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_46]) ).
cnf(c_0_50,plain,
multiply(multiply(X1,X1),n1) = multiply(X1,n1),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_51,plain,
multiply(add(X1,X1),n1) = multiply(X1,n1),
inference(rw,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_52,plain,
multiply(multiply(X1,multiply(X1,X1)),add(X2,X2)) = multiply(X2,add(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_9]),c_0_30]),c_0_19]),c_0_26]) ).
cnf(c_0_53,plain,
multiply(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_35]) ).
cnf(c_0_54,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_51]),c_0_35]) ).
cnf(c_0_55,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]),c_0_54]),c_0_54]) ).
cnf(c_0_56,plain,
add(multiply(X1,X2),X2) = multiply(X2,add(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_53]) ).
cnf(c_0_57,plain,
multiply(X1,add(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_55]) ).
cnf(c_0_58,plain,
add(multiply(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,axiom,
pixley(X1,X2,X2) = X1,
pixley2 ).
cnf(c_0_60,plain,
add(multiply(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_61,plain,
multiply(X1,add(X2,X2)) = multiply(X2,add(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_26]),c_0_26]) ).
cnf(c_0_62,plain,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
inference(rw,[status(thm)],[c_0_59,c_0_22]) ).
cnf(c_0_63,plain,
multiply(X1,n1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_60]) ).
cnf(c_0_64,plain,
add(add(X1,X1),multiply(X1,add(X2,X2))) = multiply(add(X1,X1),add(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_61]) ).
cnf(c_0_65,plain,
add(multiply(X1,inverse(X2)),multiply(X2,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_62,c_0_9]) ).
cnf(c_0_66,plain,
add(inverse(n1),X1) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_67,plain,
add(X1,multiply(X1,X2)) = multiply(X1,add(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_54]),c_0_54]),c_0_54]) ).
cnf(c_0_68,plain,
multiply(X1,inverse(X1)) = inverse(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_9]),c_0_66]),c_0_55]) ).
cnf(c_0_69,plain,
add(multiply(X1,X2),multiply(X2,X3)) = multiply(X2,add(X1,X3)),
inference(spm,[status(thm)],[c_0_9,c_0_55]) ).
cnf(c_0_70,plain,
add(X1,inverse(n1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_25]),c_0_63]) ).
cnf(c_0_71,axiom,
pixley(X1,X2,X1) = X1,
pixley3 ).
cnf(c_0_72,plain,
add(multiply(X1,X2),multiply(X3,X1)) = multiply(X1,add(X2,X3)),
inference(spm,[status(thm)],[c_0_9,c_0_55]) ).
cnf(c_0_73,plain,
multiply(X1,multiply(X2,add(X1,inverse(X2)))) = multiply(X2,add(X1,inverse(X2))),
inference(spm,[status(thm)],[c_0_8,c_0_65]) ).
cnf(c_0_74,plain,
multiply(X1,add(X2,inverse(X1))) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_70]) ).
cnf(c_0_75,plain,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
inference(rw,[status(thm)],[c_0_71,c_0_22]) ).
cnf(c_0_76,plain,
add(inverse(X1),multiply(X1,add(n1,inverse(X1)))) = n1,
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_77,plain,
multiply(n1,X1) = X1,
inference(spm,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_78,plain,
multiply(X1,add(inverse(X1),X2)) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_68]),c_0_66]) ).
cnf(c_0_79,plain,
multiply(X1,multiply(X1,X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_74]) ).
cnf(c_0_80,plain,
add(multiply(X1,inverse(X2)),multiply(X1,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_75,c_0_9]) ).
cnf(c_0_81,plain,
add(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,add(X2,X3)),
inference(spm,[status(thm)],[c_0_72,c_0_55]) ).
cnf(c_0_82,plain,
add(X1,add(X2,X1)) = add(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_83,plain,
multiply(inverse(X1),add(X1,X2)) = multiply(X2,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_68]),c_0_66]) ).
cnf(c_0_84,plain,
add(inverse(X1),X1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_74]),c_0_77]) ).
cnf(c_0_85,plain,
multiply(X1,inverse(inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_25]),c_0_63]),c_0_55]) ).
cnf(c_0_86,plain,
multiply(X1,add(X2,multiply(X1,X3))) = multiply(X1,add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_69]) ).
cnf(c_0_87,plain,
multiply(X1,add(X1,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_88,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_63]),c_0_85]) ).
cnf(c_0_89,plain,
multiply(X1,multiply(X2,add(X3,X1))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_9]),c_0_56]),c_0_57]) ).
cnf(c_0_90,plain,
multiply(X1,add(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
multiply(X1,multiply(add(X2,X1),X3)) = multiply(X1,X3),
inference(spm,[status(thm)],[c_0_89,c_0_55]) ).
cnf(c_0_92,plain,
add(X1,multiply(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_67,c_0_90]) ).
cnf(c_0_93,plain,
multiply(multiply(X1,X2),multiply(X1,X3)) = multiply(multiply(X1,X2),X3),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_94,plain,
multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_93]),c_0_93]) ).
cnf(c_0_95,plain,
multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X1,X3)),
inference(spm,[status(thm)],[c_0_55,c_0_94]) ).
cnf(c_0_96,plain,
multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_95]) ).
cnf(c_0_97,plain,
add(X1,multiply(X2,add(X3,X1))) = multiply(add(X3,X1),add(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_57]) ).
cnf(c_0_98,plain,
multiply(inverse(X1),add(X2,X1)) = multiply(inverse(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_68]),c_0_70]) ).
cnf(c_0_99,plain,
multiply(X1,multiply(X2,inverse(X1))) = inverse(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_58]),c_0_68]),c_0_95]),c_0_96]) ).
cnf(c_0_100,plain,
multiply(add(X1,X2),add(X2,X1)) = add(X2,X1),
inference(spm,[status(thm)],[c_0_97,c_0_90]) ).
cnf(c_0_101,plain,
add(X1,multiply(inverse(X1),X2)) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_25]),c_0_63]) ).
cnf(c_0_102,plain,
multiply(X1,add(X2,multiply(X3,inverse(X1)))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_99]),c_0_70]) ).
cnf(c_0_103,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_100]),c_0_100]) ).
cnf(c_0_104,plain,
add(X1,add(X2,multiply(X3,X1))) = add(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_101]),c_0_88]),c_0_103]) ).
cnf(c_0_105,negated_conjecture,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)),
inference(fof_simplification,[status(thm)],[prove_add_multiply_property]) ).
cnf(c_0_106,plain,
multiply(add(X1,X2),add(X2,X3)) = add(multiply(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_69]),c_0_97]) ).
cnf(c_0_107,negated_conjecture,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)),
c_0_105 ).
cnf(c_0_108,plain,
multiply(add(X1,X2),add(X1,X3)) = add(multiply(X2,X3),X1),
inference(spm,[status(thm)],[c_0_106,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO023-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/5.66 % Computer : n013.cluster.edu
% 0.18/5.66 % Model : x86_64 x86_64
% 0.18/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.66 % Memory : 8046.5625MB
% 0.18/5.66 % OS : Linux 6.8.0-71-generic
% 0.18/5.66 % CPULimit : 300
% 0.18/5.66 % WCLimit : 300
% 0.18/5.66 % DateTime : Mon Sep 21 13:48:28 UTC 2026
% 0.18/5.66 % CPUTime :
% 0.18/5.66 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/5.71 Running first-order theorem proving
% 0.21/5.71 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
% 0.21/6.01 % Version: 3.5.1
% 0.21/6.01 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/6.01 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/6.01 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/6.01 % Starting new_bool_3 with 300s (1) cores
% 0.21/6.01 % Starting new_bool_1 with 300s (1) cores
% 0.21/6.01 % Starting sh5l with 300s (1) cores
% 0.21/6.01 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 918704 completed with status 0
% 0.21/6.01 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/6.01 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/6.01 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/6.01 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/6.01 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/6.01 % No SInE strategy applied
% 0.21/6.01 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.21/6.01 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/6.01 % Starting SubtermCWHack with 136s (1) cores
% 0.21/6.01 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/6.01 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.21/6.01 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.21/6.01 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.21/6.01 % G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 918713 completed with status 0
% 0.21/6.01 % Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.21/6.01 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/6.01 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/6.01 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/6.01 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/6.01 % No SInE strategy applied
% 0.21/6.01 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.21/6.01 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/6.01 % Starting SubtermCWHack with 136s (1) cores
% 0.21/6.01 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/6.01 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.21/6.01 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.21/6.01 % Preprocessing time : 0.001 s
% 0.21/6.01
% 0.21/6.01 % Proof found!
% 0.21/6.01 % SZS status Unsatisfiable
% 0.21/6.01 % SZS output start CNFRefutation
% See solution above
% 0.21/6.01 % Parsed axioms : 8
% 0.21/6.01 % Removed by relevancy pruning/SinE : 0
% 0.21/6.01 % Initial clauses : 8
% 0.21/6.01 % Removed in clause preprocessing : 1
% 0.21/6.01 % Initial clauses in saturation : 7
% 0.21/6.01 % Processed clauses : 2890
% 0.21/6.01 % ...of these trivial : 1001
% 0.21/6.01 % ...subsumed : 1523
% 0.21/6.01 % ...remaining for further processing : 366
% 0.21/6.01 % Other redundant clauses eliminated : 0
% 0.21/6.01 % Clauses deleted for lack of memory : 0
% 0.21/6.01 % Backward-subsumed : 1
% 0.21/6.01 % Backward-rewritten : 261
% 0.21/6.01 % Generated clauses : 35243
% 0.21/6.01 % ...of the previous two non-redundant : 18459
% 0.21/6.01 % ...aggressively subsumed : 0
% 0.21/6.01 % Contextual simplify-reflections : 0
% 0.21/6.01 % Paramodulations : 35243
% 0.21/6.01 % Factorizations : 0
% 0.21/6.01 % NegExts : 0
% 0.21/6.01 % Equation resolutions : 0
% 0.21/6.01 % Disequality decompositions : 0
% 0.21/6.01 % Total rewrite steps : 45947
% 0.21/6.01 % ...of those cached : 39645
% 0.21/6.01 % Propositional unsat checks : 0
% 0.21/6.01 % Propositional check models : 0
% 0.21/6.01 % Propositional check unsatisfiable : 0
% 0.21/6.01 % Propositional clauses : 0
% 0.21/6.01 % Propositional clauses after purity: 0
% 0.21/6.01 % Propositional unsat core size : 0
% 0.21/6.01 % Propositional preprocessing time : 0.000
% 0.21/6.01 % Propositional encoding time : 0.000
% 0.21/6.01 % Propositional solver time : 0.000
% 0.21/6.01 % Success case prop preproc time : 0.000
% 0.21/6.01 % Success case prop encoding time : 0.000
% 0.21/6.01 % Success case prop solver time : 0.000
% 0.21/6.01 % Current number of processed clauses : 104
% 0.21/6.01 % Positive orientable unit clauses : 96
% 0.21/6.01 % Positive unorientable unit clauses: 8
% 0.21/6.01 % Negative unit clauses : 0
% 0.21/6.01 % Non-unit-clauses : 0
% 0.21/6.01 % Current number of unprocessed clauses: 15121
% 0.21/6.01 % ...number of literals in the above : 15121
% 0.21/6.01 % Current number of archived formulas : 0
% 0.21/6.01 % Current number of archived clauses : 263
% 0.21/6.01 % Clause-clause subsumption calls (NU) : 0
% 0.21/6.01 % Rec. Clause-clause subsumption calls : 0
% 0.21/6.01 % Non-unit clause-clause subsumptions : 0
% 0.21/6.01 % Unit Clause-clause subsumption calls : 186
% 0.21/6.01 % Rewrite failures with RHS unbound : 38
% 0.21/6.01 % BW rewrite match attempts : 1979
% 0.21/6.01 % BW rewrite match successes : 822
% 0.21/6.01 % Condensation attempts : 2890
% 0.21/6.01 % Condensation successes : 0
% 0.21/6.01 % Termbank termtop insertions : 292270
% 0.21/6.01 % Search garbage collected termcells : 2
% 0.21/6.01
% 0.21/6.01 % -------------------------------------------------
% 0.21/6.01 % User time : 0.259 s
% 0.21/6.01 % System time : 0.016 s
% 0.21/6.01 % Total time : 0.275 s
% 0.21/6.01 % Maximum resident set size: 3380 pages
% 0.21/6.01
% 0.21/6.01 % -------------------------------------------------
% 0.21/6.01 % User time : 1.317 s
% 0.21/6.01 % System time : 0.072 s
% 0.21/6.01 % Total time : 1.389 s
% 0.21/6.01 % Maximum resident set size: 4608 pages
% 0.21/6.01 % E exiting
%------------------------------------------------------------------------------