TSTP Solution File: BOO026-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : BOO026-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:18:13 EDT 2023
% Result : Unsatisfiable 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of clauses : 107 ( 107 unt; 0 nHn; 25 RR)
% Number of literals : 107 ( 106 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 : 139 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(add_multiply_property,axiom,
add(X1,multiply(X2,X3)) = multiply(add(X2,X1),add(X3,X1)),
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',add_multiply_property) ).
cnf(multiply_add_property,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X2,X1),multiply(X3,X1)),
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.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/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley1_dual) ).
cnf(additive_inverse,axiom,
add(X1,inverse(X1)) = n1,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',additive_inverse) ).
cnf(multiplicative_inverse,axiom,
multiply(X1,inverse(X1)) = n0,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',multiplicative_inverse) ).
cnf(pixley1,axiom,
add(multiply(X1,inverse(X1)),add(multiply(X1,X2),multiply(inverse(X1),X2))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley1) ).
cnf(pixley2_dual,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X2),add(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley2_dual) ).
cnf(pixley3,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley3) ).
cnf(pixley3_dual,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X1),add(inverse(X2),X1))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley3_dual) ).
cnf(pixley2,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.p',pixley2) ).
cnf(prove_multiply_add,negated_conjecture,
multiply(add(a,b),b) != b,
file('/export/starexec/sandbox2/tmp/tmp.V9NotTVxwI/E---3.1_24191.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,
add(multiply(X1,X1),multiply(inverse(X1),X2)) = multiply(multiply(n1,n1),add(X2,multiply(X1,X1))),
inference(spm,[status(thm)],[c_0_11,c_0_38]) ).
cnf(c_0_52,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_53,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_54,plain,
inverse(n0) = n1,
inference(rw,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_55,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_56,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_57,plain,
multiply(n0,add(X1,n0)) = add(n0,multiply(n0,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
cnf(c_0_58,plain,
multiply(multiply(n1,n1),add(X1,multiply(X1,X1))) = multiply(X1,n1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_51]),c_0_14]) ).
cnf(c_0_59,plain,
multiply(multiply(n1,n1),n0) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_15]),c_0_39]),c_0_46]) ).
cnf(c_0_60,plain,
multiply(add(X1,n1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_20]) ).
cnf(c_0_61,plain,
add(n0,add(multiply(n1,n1),n0)) = add(n1,multiply(n1,n1)),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_62,plain,
add(n0,n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_33]),c_0_37]) ).
cnf(c_0_63,plain,
multiply(n0,n1) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_42]),c_0_59]) ).
cnf(c_0_64,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_65,plain,
add(X1,n1) = add(n1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_60]),c_0_60]) ).
cnf(c_0_66,plain,
add(n1,n1) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_48]),c_0_45]),c_0_62]),c_0_48]) ).
cnf(c_0_67,plain,
multiply(X1,n1) = multiply(n1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_63]),c_0_45]) ).
cnf(c_0_68,plain,
multiply(X1,X1) = add(multiply(X1,n1),multiply(n0,n0)),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_69,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_64,c_0_65]),c_0_18]),c_0_66]),c_0_67]),c_0_18]) ).
cnf(c_0_70,plain,
multiply(n0,n0) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_42]) ).
cnf(c_0_71,plain,
add(multiply(X1,n1),n0) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_63]),c_0_18]) ).
cnf(c_0_72,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_69]),c_0_69]) ).
cnf(c_0_73,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X1),multiply(inverse(X2),X1))) = X1,
pixley3 ).
cnf(c_0_74,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_75,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_53,c_0_69]),c_0_68]),c_0_70]),c_0_71]),c_0_14]),c_0_72]) ).
cnf(c_0_76,axiom,
multiply(add(X1,inverse(X2)),multiply(add(X1,X1),add(inverse(X2),X1))) = X1,
pixley3_dual ).
cnf(c_0_77,plain,
add(multiply(X1,inverse(X2)),multiply(X1,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_73,c_0_12]) ).
cnf(c_0_78,plain,
add(n0,inverse(X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
multiply(add(X1,inverse(X2)),add(X1,multiply(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_76,c_0_11]) ).
cnf(c_0_80,axiom,
add(multiply(X1,inverse(X2)),add(multiply(X1,X2),multiply(inverse(X2),X2))) = X1,
pixley2 ).
cnf(c_0_81,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_52]) ).
cnf(c_0_82,plain,
multiply(n0,inverse(X1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_69]) ).
cnf(c_0_83,plain,
add(n1,inverse(X1)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_11]),c_0_48]),c_0_65]) ).
cnf(c_0_84,plain,
add(n0,multiply(multiply(n0,add(X1,n0)),inverse(X1))) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
cnf(c_0_85,plain,
add(n0,multiply(multiply(n0,n1),inverse(n1))) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_25]),c_0_15]) ).
cnf(c_0_86,plain,
add(multiply(X1,inverse(X2)),multiply(X2,add(X1,inverse(X2)))) = X1,
inference(rw,[status(thm)],[c_0_80,c_0_12]) ).
cnf(c_0_87,plain,
multiply(n1,add(n0,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_63]),c_0_20]) ).
cnf(c_0_88,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_81,c_0_18]),c_0_82]),c_0_69]),c_0_65]),c_0_83]),c_0_67]),c_0_18]) ).
cnf(c_0_89,plain,
multiply(inverse(n1),n1) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_45]),c_0_85]) ).
cnf(c_0_90,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_86]) ).
cnf(c_0_91,plain,
multiply(n1,X1) = X1,
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
multiply(X1,n1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_88]) ).
cnf(c_0_93,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_94,plain,
inverse(n1) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_89]),c_0_39]) ).
cnf(c_0_95,plain,
add(X1,multiply(inverse(X1),X2)) = add(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_90,c_0_91]),c_0_83]),c_0_92]),c_0_83]),c_0_92]),c_0_91]) ).
cnf(c_0_96,plain,
add(n0,X1) = add(X1,n0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_20]) ).
cnf(c_0_97,plain,
multiply(n0,add(n1,X1)) = multiply(X1,n0),
inference(rw,[status(thm)],[c_0_33,c_0_88]) ).
cnf(c_0_98,plain,
add(n1,X1) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_92]),c_0_14]) ).
cnf(c_0_99,negated_conjecture,
multiply(add(a,b),b) != b,
prove_multiply_add ).
cnf(c_0_100,plain,
multiply(X1,add(X2,X1)) = add(X1,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_69]) ).
cnf(c_0_101,plain,
add(multiply(X1,add(X2,inverse(X1))),multiply(X3,multiply(X2,inverse(X1)))) = multiply(X2,add(X3,multiply(X1,add(X2,inverse(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_86]),c_0_72]) ).
cnf(c_0_102,plain,
add(X1,n0) = X1,
inference(rw,[status(thm)],[c_0_96,c_0_88]) ).
cnf(c_0_103,plain,
multiply(X1,n0) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_67]),c_0_91]) ).
cnf(c_0_104,negated_conjecture,
add(b,multiply(b,a)) != b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_72]),c_0_100]) ).
cnf(c_0_105,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_101,c_0_94]),c_0_102]),c_0_91]),c_0_103]),c_0_103]),c_0_102]),c_0_102]),c_0_91]),c_0_100]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : BOO026-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 20:40:33 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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/tmp/tmp.V9NotTVxwI/E---3.1_24191.p
% 0.15/0.47 # Version: 3.1pre001
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.47 # Starting sh5l with 300s (1) cores
% 0.15/0.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 24269 completed with status 0
% 0.15/0.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # No SInE strategy applied
% 0.15/0.47 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.47 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.47 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.47 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.47 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.15/0.47 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 24273 completed with status 0
% 0.15/0.47 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.15/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.47 # No SInE strategy applied
% 0.15/0.47 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.47 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.47 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.47 # Preprocessing time : 0.001 s
% 0.15/0.47 # Presaturation interreduction done
% 0.15/0.47
% 0.15/0.47 # Proof found!
% 0.15/0.47 # SZS status Unsatisfiable
% 0.15/0.47 # SZS output start CNFRefutation
% See solution above
% 0.15/0.47 # Parsed axioms : 11
% 0.15/0.47 # Removed by relevancy pruning/SinE : 0
% 0.15/0.47 # Initial clauses : 11
% 0.15/0.47 # Removed in clause preprocessing : 0
% 0.15/0.47 # Initial clauses in saturation : 11
% 0.15/0.47 # Processed clauses : 289
% 0.15/0.47 # ...of these trivial : 72
% 0.15/0.47 # ...subsumed : 17
% 0.15/0.47 # ...remaining for further processing : 200
% 0.15/0.47 # Other redundant clauses eliminated : 0
% 0.15/0.47 # Clauses deleted for lack of memory : 0
% 0.15/0.47 # Backward-subsumed : 2
% 0.15/0.47 # Backward-rewritten : 155
% 0.15/0.47 # Generated clauses : 4557
% 0.15/0.47 # ...of the previous two non-redundant : 3787
% 0.15/0.47 # ...aggressively subsumed : 0
% 0.15/0.47 # Contextual simplify-reflections : 0
% 0.15/0.47 # Paramodulations : 4557
% 0.15/0.47 # Factorizations : 0
% 0.15/0.47 # NegExts : 0
% 0.15/0.47 # Equation resolutions : 0
% 0.15/0.47 # Total rewrite steps : 5224
% 0.15/0.47 # Propositional unsat checks : 0
% 0.15/0.47 # Propositional check models : 0
% 0.15/0.47 # Propositional check unsatisfiable : 0
% 0.15/0.47 # Propositional clauses : 0
% 0.15/0.47 # Propositional clauses after purity: 0
% 0.15/0.47 # Propositional unsat core size : 0
% 0.15/0.47 # Propositional preprocessing time : 0.000
% 0.15/0.47 # Propositional encoding time : 0.000
% 0.15/0.47 # Propositional solver time : 0.000
% 0.15/0.47 # Success case prop preproc time : 0.000
% 0.15/0.47 # Success case prop encoding time : 0.000
% 0.15/0.47 # Success case prop solver time : 0.000
% 0.15/0.47 # Current number of processed clauses : 32
% 0.15/0.47 # Positive orientable unit clauses : 30
% 0.15/0.47 # Positive unorientable unit clauses: 2
% 0.15/0.47 # Negative unit clauses : 0
% 0.15/0.47 # Non-unit-clauses : 0
% 0.15/0.47 # Current number of unprocessed clauses: 3414
% 0.15/0.47 # ...number of literals in the above : 3414
% 0.15/0.47 # Current number of archived formulas : 0
% 0.15/0.47 # Current number of archived clauses : 168
% 0.15/0.47 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.47 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.47 # Non-unit clause-clause subsumptions : 0
% 0.15/0.47 # Unit Clause-clause subsumption calls : 93
% 0.15/0.47 # Rewrite failures with RHS unbound : 0
% 0.15/0.47 # BW rewrite match attempts : 782
% 0.15/0.47 # BW rewrite match successes : 372
% 0.15/0.47 # Condensation attempts : 0
% 0.15/0.47 # Condensation successes : 0
% 0.15/0.47 # Termbank termtop insertions : 73478
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.051 s
% 0.15/0.47 # System time : 0.005 s
% 0.15/0.47 # Total time : 0.056 s
% 0.15/0.47 # Maximum resident set size: 1520 pages
% 0.15/0.47
% 0.15/0.47 # -------------------------------------------------
% 0.15/0.47 # User time : 0.262 s
% 0.15/0.47 # System time : 0.016 s
% 0.15/0.47 # Total time : 0.278 s
% 0.15/0.47 # Maximum resident set size: 1676 pages
% 0.15/0.47 % E---3.1 exiting
% 0.15/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------