TSTP Solution File: KLE084-10 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : KLE084-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 18:04:54 EDT 2023
% Result : Unsatisfiable 7.68s 1.41s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of clauses : 109 ( 109 unt; 0 nHn; 8 RR)
% Number of literals : 109 ( 108 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 163 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_distributivity,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',left_distributivity) ).
cnf(domain1,axiom,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',domain1) ).
cnf(additive_identity,axiom,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',additive_identity) ).
cnf(domain3,axiom,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',domain3) ).
cnf(additive_commutativity,axiom,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',additive_commutativity) ).
cnf(multiplicative_right_identity,axiom,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',multiplicative_right_identity) ).
cnf(domain2,axiom,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',domain2) ).
cnf(codomain1,axiom,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',codomain1) ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',multiplicative_left_identity) ).
cnf(right_distributivity,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',right_distributivity) ).
cnf(additive_associativity,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',additive_associativity) ).
cnf(additive_idempotence,axiom,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',additive_idempotence) ).
cnf(codomain3,axiom,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',codomain3) ).
cnf(multiplicative_associativity,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',multiplicative_associativity) ).
cnf(left_annihilation,axiom,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',left_annihilation) ).
cnf(right_annihilation,axiom,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',right_annihilation) ).
cnf(codomain2,axiom,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',codomain2) ).
cnf(goals,negated_conjecture,
domain(multiplication(sK2_goals_X0,sK1_goals_X1)) != domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',goals) ).
cnf(domain4,axiom,
domain(X1) = antidomain(antidomain(X1)),
file('/export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p',domain4) ).
cnf(c_0_19,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
left_distributivity ).
cnf(c_0_20,axiom,
multiplication(antidomain(X1),X1) = zero,
domain1 ).
cnf(c_0_21,axiom,
addition(X1,zero) = X1,
additive_identity ).
cnf(c_0_22,axiom,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
domain3 ).
cnf(c_0_23,axiom,
addition(X1,X2) = addition(X2,X1),
additive_commutativity ).
cnf(c_0_24,axiom,
multiplication(X1,one) = X1,
multiplicative_right_identity ).
cnf(c_0_25,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_26,axiom,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
domain2 ).
cnf(c_0_27,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_29,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_30,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20]) ).
cnf(c_0_31,axiom,
multiplication(X1,coantidomain(X1)) = zero,
codomain1 ).
cnf(c_0_32,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,axiom,
multiplication(one,X1) = X1,
multiplicative_left_identity ).
cnf(c_0_34,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
right_distributivity ).
cnf(c_0_35,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_29]) ).
cnf(c_0_36,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
additive_associativity ).
cnf(c_0_37,axiom,
addition(X1,X1) = X1,
additive_idempotence ).
cnf(c_0_38,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_39,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_21]) ).
cnf(c_0_40,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_33]) ).
cnf(c_0_41,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_29]) ).
cnf(c_0_43,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_24]),c_0_40]) ).
cnf(c_0_44,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_20]) ).
cnf(c_0_45,axiom,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
codomain3 ).
cnf(c_0_46,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
multiplicative_associativity ).
cnf(c_0_47,axiom,
multiplication(zero,X1) = zero,
left_annihilation ).
cnf(c_0_48,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_24]),c_0_43]) ).
cnf(c_0_49,plain,
multiplication(antidomain(multiplication(addition(X1,X2),X3)),multiplication(X1,X3)) = zero,
inference(spm,[status(thm)],[c_0_44,c_0_19]) ).
cnf(c_0_50,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_51,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_20]),c_0_47]) ).
cnf(c_0_52,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_53,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_33]) ).
cnf(c_0_54,axiom,
multiplication(X1,zero) = zero,
right_annihilation ).
cnf(c_0_55,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_29]) ).
cnf(c_0_56,plain,
multiplication(antidomain(X1),multiplication(coantidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_33]) ).
cnf(c_0_57,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3))) = zero,
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_58,plain,
multiplication(X1,multiplication(antidomain(X2),coantidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_59,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_24]) ).
cnf(c_0_60,plain,
addition(X1,multiplication(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(antidomain(X1)),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_61,plain,
multiplication(antidomain(antidomain(coantidomain(coantidomain(X1)))),coantidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_56,c_0_48]) ).
cnf(c_0_62,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_31]),c_0_21]) ).
cnf(c_0_63,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,X2)) = zero,
inference(spm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_64,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
antidomain(antidomain(coantidomain(coantidomain(X1)))) = coantidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_21]),c_0_23]),c_0_50]),c_0_24]) ).
cnf(c_0_66,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_33]),c_0_59]) ).
cnf(c_0_67,plain,
multiplication(coantidomain(antidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_32]),c_0_33]) ).
cnf(c_0_68,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
multiplication(addition(coantidomain(antidomain(antidomain(X1))),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_67]),c_0_29]) ).
cnf(c_0_70,plain,
addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
inference(spm,[status(thm)],[c_0_27,c_0_68]) ).
cnf(c_0_71,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_72,plain,
multiplication(antidomain(coantidomain(antidomain(antidomain(X1)))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_33]) ).
cnf(c_0_73,axiom,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
codomain2 ).
cnf(c_0_74,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_71]),c_0_29]) ).
cnf(c_0_75,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_50]),c_0_23]) ).
cnf(c_0_76,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = coantidomain(X1),
inference(spm,[status(thm)],[c_0_72,c_0_68]) ).
cnf(c_0_77,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_20]),c_0_74]),c_0_75]) ).
cnf(c_0_78,plain,
antidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_24]),c_0_76]) ).
cnf(c_0_79,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_23]) ).
cnf(c_0_80,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[c_0_72,c_0_43]) ).
cnf(c_0_81,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_23]) ).
cnf(c_0_82,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
cnf(c_0_83,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_77]),c_0_24]) ).
cnf(c_0_84,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_68,c_0_78]) ).
cnf(c_0_85,plain,
addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_86,plain,
addition(antidomain(X1),antidomain(coantidomain(antidomain(X1)))) = antidomain(coantidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_23]),c_0_81]),c_0_24]),c_0_23]) ).
cnf(c_0_87,plain,
multiplication(addition(X1,X2),multiplication(X3,coantidomain(multiplication(X2,X3)))) = multiplication(X1,multiplication(X3,coantidomain(multiplication(X2,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_82]),c_0_21]) ).
cnf(c_0_88,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
addition(antidomain(X1),antidomain(coantidomain(antidomain(antidomain(X1))))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_81]) ).
cnf(c_0_90,plain,
multiplication(addition(X1,antidomain(coantidomain(antidomain(X2)))),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_74]),c_0_24]),c_0_74]),c_0_24]) ).
cnf(c_0_91,plain,
multiplication(coantidomain(antidomain(antidomain(X1))),antidomain(X1)) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_89]),c_0_68]),c_0_24]),c_0_68]) ).
cnf(c_0_92,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_51]),c_0_32]),c_0_33]) ).
cnf(c_0_93,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_70]),c_0_33]) ).
cnf(c_0_94,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))) = coantidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_91,c_0_43]) ).
cnf(c_0_95,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_96,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_44]),c_0_29]) ).
cnf(c_0_97,plain,
multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3)) = multiplication(antidomain(X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_92]),c_0_29]) ).
cnf(c_0_98,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_43]),c_0_94]) ).
cnf(c_0_99,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),multiplication(X1,multiplication(X2,X3))) = multiplication(X1,multiplication(X2,X3)),
inference(spm,[status(thm)],[c_0_95,c_0_46]) ).
cnf(c_0_100,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_27]),c_0_33]) ).
cnf(c_0_101,negated_conjecture,
domain(multiplication(sK2_goals_X0,sK1_goals_X1)) != domain(multiplication(sK2_goals_X0,domain(sK1_goals_X1))),
goals ).
cnf(c_0_102,axiom,
domain(X1) = antidomain(antidomain(X1)),
domain4 ).
cnf(c_0_103,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_89]),c_0_24]),c_0_43]),c_0_98]),c_0_43]) ).
cnf(c_0_104,plain,
multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_99,c_0_40]) ).
cnf(c_0_105,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_26]),c_0_43]) ).
cnf(c_0_106,negated_conjecture,
antidomain(antidomain(multiplication(sK2_goals_X0,sK1_goals_X1))) != antidomain(antidomain(multiplication(sK2_goals_X0,antidomain(antidomain(sK1_goals_X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_102]),c_0_102]) ).
cnf(c_0_107,plain,
antidomain(multiplication(X1,antidomain(antidomain(X2)))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_43]),c_0_105]),c_0_43]) ).
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
% 0.05/0.10 % Problem : KLE084-10 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 04:46:51 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.FMRQRTKgH6/E---3.1_21659.p
% 7.68/1.41 # Version: 3.1pre001
% 7.68/1.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.68/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.68/1.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.68/1.41 # Starting new_bool_3 with 300s (1) cores
% 7.68/1.41 # Starting new_bool_1 with 300s (1) cores
% 7.68/1.41 # Starting sh5l with 300s (1) cores
% 7.68/1.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21736 completed with status 0
% 7.68/1.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.68/1.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.68/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.68/1.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.68/1.41 # No SInE strategy applied
% 7.68/1.41 # Search class: FUUPM-FFSF32-MFFFFFNN
% 7.68/1.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.68/1.41 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 7.68/1.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.68/1.41 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 7.68/1.41 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 7.68/1.41 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.68/1.41 # G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with pid 21740 completed with status 0
% 7.68/1.41 # Result found by G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 7.68/1.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 7.68/1.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.68/1.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.68/1.41 # No SInE strategy applied
% 7.68/1.41 # Search class: FUUPM-FFSF32-MFFFFFNN
% 7.68/1.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.68/1.41 # Starting G-E--_107_C18_F1_AE_Q4_CS_SP_CO_S0Y with 811s (1) cores
% 7.68/1.41 # Preprocessing time : 0.001 s
% 7.68/1.41
% 7.68/1.41 # Proof found!
% 7.68/1.41 # SZS status Unsatisfiable
% 7.68/1.41 # SZS output start CNFRefutation
% See solution above
% 7.68/1.42 # Parsed axioms : 24
% 7.68/1.42 # Removed by relevancy pruning/SinE : 0
% 7.68/1.42 # Initial clauses : 24
% 7.68/1.42 # Removed in clause preprocessing : 2
% 7.68/1.42 # Initial clauses in saturation : 22
% 7.68/1.42 # Processed clauses : 1734
% 7.68/1.42 # ...of these trivial : 1051
% 7.68/1.42 # ...subsumed : 116
% 7.68/1.42 # ...remaining for further processing : 567
% 7.68/1.42 # Other redundant clauses eliminated : 0
% 7.68/1.42 # Clauses deleted for lack of memory : 0
% 7.68/1.42 # Backward-subsumed : 0
% 7.68/1.42 # Backward-rewritten : 119
% 7.68/1.42 # Generated clauses : 115886
% 7.68/1.42 # ...of the previous two non-redundant : 44668
% 7.68/1.42 # ...aggressively subsumed : 0
% 7.68/1.42 # Contextual simplify-reflections : 0
% 7.68/1.42 # Paramodulations : 115886
% 7.68/1.42 # Factorizations : 0
% 7.68/1.42 # NegExts : 0
% 7.68/1.42 # Equation resolutions : 0
% 7.68/1.42 # Total rewrite steps : 253882
% 7.68/1.42 # Propositional unsat checks : 0
% 7.68/1.42 # Propositional check models : 0
% 7.68/1.42 # Propositional check unsatisfiable : 0
% 7.68/1.42 # Propositional clauses : 0
% 7.68/1.42 # Propositional clauses after purity: 0
% 7.68/1.42 # Propositional unsat core size : 0
% 7.68/1.42 # Propositional preprocessing time : 0.000
% 7.68/1.42 # Propositional encoding time : 0.000
% 7.68/1.42 # Propositional solver time : 0.000
% 7.68/1.42 # Success case prop preproc time : 0.000
% 7.68/1.42 # Success case prop encoding time : 0.000
% 7.68/1.42 # Success case prop solver time : 0.000
% 7.68/1.42 # Current number of processed clauses : 448
% 7.68/1.42 # Positive orientable unit clauses : 444
% 7.68/1.42 # Positive unorientable unit clauses: 4
% 7.68/1.42 # Negative unit clauses : 0
% 7.68/1.42 # Non-unit-clauses : 0
% 7.68/1.42 # Current number of unprocessed clauses: 42683
% 7.68/1.42 # ...number of literals in the above : 42683
% 7.68/1.42 # Current number of archived formulas : 0
% 7.68/1.42 # Current number of archived clauses : 121
% 7.68/1.42 # Clause-clause subsumption calls (NU) : 0
% 7.68/1.42 # Rec. Clause-clause subsumption calls : 0
% 7.68/1.42 # Non-unit clause-clause subsumptions : 0
% 7.68/1.42 # Unit Clause-clause subsumption calls : 6
% 7.68/1.42 # Rewrite failures with RHS unbound : 0
% 7.68/1.42 # BW rewrite match attempts : 2375
% 7.68/1.42 # BW rewrite match successes : 105
% 7.68/1.42 # Condensation attempts : 1734
% 7.68/1.42 # Condensation successes : 0
% 7.68/1.42 # Termbank termtop insertions : 1516111
% 7.68/1.42
% 7.68/1.42 # -------------------------------------------------
% 7.68/1.42 # User time : 0.912 s
% 7.68/1.42 # System time : 0.036 s
% 7.68/1.42 # Total time : 0.947 s
% 7.68/1.42 # Maximum resident set size: 1608 pages
% 7.68/1.42
% 7.68/1.42 # -------------------------------------------------
% 7.68/1.42 # User time : 4.613 s
% 7.68/1.42 # System time : 0.179 s
% 7.68/1.42 # Total time : 4.793 s
% 7.68/1.42 # Maximum resident set size: 1688 pages
% 7.68/1.42 % E---3.1 exiting
%------------------------------------------------------------------------------