TSTP Solution File: KLE104-10 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE104-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 18:04:10 EDT 2023
% Result : Unsatisfiable 130.66s 17.00s
% Output : CNFRefutation 130.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of clauses : 103 ( 103 unt; 0 nHn; 23 RR)
% Number of literals : 103 ( 102 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 140 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity,axiom,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',additive_identity) ).
cnf(additive_commutativity,axiom,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',additive_commutativity) ).
cnf(complement,axiom,
c(X1) = antidomain(domain(X1)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',complement) ).
cnf(domain4,axiom,
domain(X1) = antidomain(antidomain(X1)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',domain4) ).
cnf(left_distributivity,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',left_distributivity) ).
cnf(domain1,axiom,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',domain1) ).
cnf(domain3,axiom,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',domain3) ).
cnf(backward_box,axiom,
backward_box(X1,X2) = c(backward_diamond(X1,c(X2))),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',backward_box) ).
cnf(backward_diamond,axiom,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',backward_diamond) ).
cnf(codomain4,axiom,
codomain(X1) = coantidomain(coantidomain(X1)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',codomain4) ).
cnf(right_distributivity,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',right_distributivity) ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',multiplicative_left_identity) ).
cnf(goals,negated_conjecture,
addition(domain(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2))) = one,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',goals) ).
cnf(multiplicative_right_identity,axiom,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',multiplicative_right_identity) ).
cnf(additive_associativity,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',additive_associativity) ).
cnf(additive_idempotence,axiom,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',additive_idempotence) ).
cnf(codomain3,axiom,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',codomain3) ).
cnf(codomain1,axiom,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',codomain1) ).
cnf(multiplicative_associativity,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',multiplicative_associativity) ).
cnf(right_annihilation,axiom,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',right_annihilation) ).
cnf(order_1,axiom,
ifeq(leq(X1,X2),true,addition(X1,X2),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',order_1) ).
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.a311f8K8Oe/E---3.1_19617.p',domain2) ).
cnf(forward_diamond,axiom,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',forward_diamond) ).
cnf(order,axiom,
ifeq2(addition(X1,X2),X2,leq(X1,X2),true) = true,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',order) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',ifeq_axiom) ).
cnf(forward_box,axiom,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',forward_box) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',ifeq_axiom_001) ).
cnf(goals_1,negated_conjecture,
addition(forward_box(sK3_goals_X0,domain(sK2_goals_X1)),domain(sK1_goals_X2)) != one,
file('/export/starexec/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p',goals_1) ).
cnf(c_0_28,axiom,
addition(X1,zero) = X1,
additive_identity ).
cnf(c_0_29,axiom,
addition(X1,X2) = addition(X2,X1),
additive_commutativity ).
cnf(c_0_30,axiom,
c(X1) = antidomain(domain(X1)),
complement ).
cnf(c_0_31,axiom,
domain(X1) = antidomain(antidomain(X1)),
domain4 ).
cnf(c_0_32,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
left_distributivity ).
cnf(c_0_33,axiom,
multiplication(antidomain(X1),X1) = zero,
domain1 ).
cnf(c_0_34,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,axiom,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
domain3 ).
cnf(c_0_36,axiom,
backward_box(X1,X2) = c(backward_diamond(X1,c(X2))),
backward_box ).
cnf(c_0_37,plain,
c(X1) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,axiom,
backward_diamond(X1,X2) = codomain(multiplication(codomain(X2),X1)),
backward_diamond ).
cnf(c_0_39,axiom,
codomain(X1) = coantidomain(coantidomain(X1)),
codomain4 ).
cnf(c_0_40,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
right_distributivity ).
cnf(c_0_41,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_42,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_43,axiom,
multiplication(one,X1) = X1,
multiplicative_left_identity ).
cnf(c_0_44,negated_conjecture,
addition(domain(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2))) = one,
goals ).
cnf(c_0_45,plain,
backward_box(X1,X2) = antidomain(antidomain(antidomain(backward_diamond(X1,antidomain(antidomain(antidomain(X2))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_46,plain,
backward_diamond(X1,X2) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).
cnf(c_0_47,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_33]),c_0_28]) ).
cnf(c_0_48,axiom,
multiplication(X1,one) = X1,
multiplicative_right_identity ).
cnf(c_0_49,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_50,negated_conjecture,
addition(antidomain(antidomain(sK2_goals_X1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_31]),c_0_31]),c_0_45]),c_0_46]) ).
cnf(c_0_51,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_48]),c_0_49]) ).
cnf(c_0_52,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
additive_associativity ).
cnf(c_0_53,axiom,
addition(X1,X1) = X1,
additive_idempotence ).
cnf(c_0_54,axiom,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
codomain3 ).
cnf(c_0_55,axiom,
multiplication(X1,coantidomain(X1)) = zero,
codomain1 ).
cnf(c_0_56,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_28]) ).
cnf(c_0_57,negated_conjecture,
addition(antidomain(antidomain(sK2_goals_X1)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),sK3_goals_X0))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_51]),c_0_51]) ).
cnf(c_0_58,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_60,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_55]),c_0_34]) ).
cnf(c_0_61,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_48]),c_0_29]) ).
cnf(c_0_62,negated_conjecture,
multiplication(antidomain(antidomain(sK2_goals_X1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),sK3_goals_X0)))) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),sK3_goals_X0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_43]) ).
cnf(c_0_63,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_29]) ).
cnf(c_0_64,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
multiplicative_associativity ).
cnf(c_0_65,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_48]) ).
cnf(c_0_66,negated_conjecture,
addition(antidomain(antidomain(sK2_goals_X1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),sK3_goals_X0)))) = antidomain(antidomain(sK2_goals_X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_29]),c_0_63]),c_0_48]) ).
cnf(c_0_67,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),sK3_goals_X0))),antidomain(sK2_goals_X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_66]),c_0_33]) ).
cnf(c_0_69,axiom,
multiplication(X1,zero) = zero,
right_annihilation ).
cnf(c_0_70,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_71,negated_conjecture,
multiplication(coantidomain(coantidomain(antidomain(sK1_goals_X2))),multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_64]) ).
cnf(c_0_72,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_42,c_0_70]) ).
cnf(c_0_73,axiom,
ifeq(leq(X1,X2),true,addition(X1,X2),X2) = X2,
order_1 ).
cnf(c_0_74,axiom,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
domain2 ).
cnf(c_0_75,negated_conjecture,
multiplication(antidomain(sK1_goals_X2),multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_71]),c_0_69]) ).
cnf(c_0_76,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_72,c_0_34]) ).
cnf(c_0_77,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_42]),c_0_29]) ).
cnf(c_0_78,axiom,
forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
forward_diamond ).
cnf(c_0_79,plain,
ifeq(leq(multiplication(X1,X2),multiplication(X1,X3)),true,multiplication(X1,addition(X2,X3)),multiplication(X1,X3)) = multiplication(X1,X3),
inference(spm,[status(thm)],[c_0_73,c_0_40]) ).
cnf(c_0_80,negated_conjecture,
antidomain(multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_81,axiom,
ifeq2(addition(X1,X2),X2,leq(X1,X2),true) = true,
order ).
cnf(c_0_82,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_83,axiom,
forward_box(X1,X2) = c(forward_diamond(X1,c(X2))),
forward_box ).
cnf(c_0_84,plain,
forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_31]),c_0_31]) ).
cnf(c_0_85,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_33]) ).
cnf(c_0_86,plain,
ifeq(leq(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2)))),true,X1,multiplication(X1,antidomain(antidomain(X2)))) = multiplication(X1,antidomain(antidomain(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_42]),c_0_48]) ).
cnf(c_0_87,negated_conjecture,
multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_80]),c_0_43]) ).
cnf(c_0_88,plain,
leq(zero,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_34]),c_0_82]) ).
cnf(c_0_89,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_90,negated_conjecture,
addition(forward_box(sK3_goals_X0,domain(sK2_goals_X1)),domain(sK1_goals_X2)) != one,
goals_1 ).
cnf(c_0_91,plain,
forward_box(X1,X2) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(antidomain(X2))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_37]),c_0_37]),c_0_84]) ).
cnf(c_0_92,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_85]),c_0_34]) ).
cnf(c_0_93,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_43]),c_0_29]) ).
cnf(c_0_94,negated_conjecture,
multiplication(antidomain(sK1_goals_X2),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))) = antidomain(sK1_goals_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_86,c_0_87]),c_0_51]),c_0_88]),c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_95,negated_conjecture,
addition(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1))))))))))))),antidomain(antidomain(sK1_goals_X2))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_31]),c_0_31]),c_0_91]) ).
cnf(c_0_96,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_42]),c_0_43]) ).
cnf(c_0_97,negated_conjecture,
addition(antidomain(sK1_goals_X2),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))) = antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_29]),c_0_29]),c_0_77]),c_0_43]) ).
cnf(c_0_98,negated_conjecture,
addition(antidomain(antidomain(sK1_goals_X2)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1)))))))))))))) != one,
inference(rw,[status(thm)],[c_0_95,c_0_29]) ).
cnf(c_0_99,plain,
addition(X1,addition(antidomain(X2),multiplication(X1,X2))) = multiplication(addition(X1,antidomain(X2)),addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_56]),c_0_52]) ).
cnf(c_0_100,negated_conjecture,
multiplication(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))),antidomain(sK1_goals_X2)) = antidomain(sK1_goals_X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_51]) ).
cnf(c_0_101,negated_conjecture,
addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_51]),c_0_51]),c_0_51]),c_0_51]),c_0_51]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(sr,[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_99,c_0_100]),c_0_29]),c_0_42]),c_0_29]),c_0_77]),c_0_29]),c_0_77]),c_0_48]),c_0_29]),c_0_101]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE104-10 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 04:54:59 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.a311f8K8Oe/E---3.1_19617.p
% 130.66/17.00 # Version: 3.1pre001
% 130.66/17.00 # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.66/17.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.66/17.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.66/17.00 # Starting new_bool_3 with 300s (1) cores
% 130.66/17.00 # Starting new_bool_1 with 300s (1) cores
% 130.66/17.00 # Starting sh5l with 300s (1) cores
% 130.66/17.00 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19695 completed with status 0
% 130.66/17.00 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 130.66/17.00 # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.66/17.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.66/17.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.66/17.00 # No SInE strategy applied
% 130.66/17.00 # Search class: FUUPM-FFMF32-DFFFFFNN
% 130.66/17.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 130.66/17.00 # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 130.66/17.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 130.66/17.00 # Starting new_bool_3 with 226s (1) cores
% 130.66/17.00 # Starting new_bool_1 with 226s (1) cores
% 130.66/17.00 # Starting sh5l with 226s (1) cores
% 130.66/17.00 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 19702 completed with status 0
% 130.66/17.00 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 130.66/17.00 # Preprocessing class: FSMSSMSSSSSNFFN.
% 130.66/17.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 130.66/17.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 130.66/17.00 # No SInE strategy applied
% 130.66/17.00 # Search class: FUUPM-FFMF32-DFFFFFNN
% 130.66/17.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 130.66/17.00 # Starting SAT001_MinMin_p005000_rr_RG with 450s (1) cores
% 130.66/17.00 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 130.66/17.00 # Preprocessing time : 0.001 s
% 130.66/17.00 # Presaturation interreduction done
% 130.66/17.00
% 130.66/17.00 # Proof found!
% 130.66/17.00 # SZS status Unsatisfiable
% 130.66/17.00 # SZS output start CNFRefutation
% See solution above
% 130.66/17.00 # Parsed axioms : 31
% 130.66/17.00 # Removed by relevancy pruning/SinE : 0
% 130.66/17.00 # Initial clauses : 31
% 130.66/17.00 # Removed in clause preprocessing : 8
% 130.66/17.00 # Initial clauses in saturation : 23
% 130.66/17.00 # Processed clauses : 13128
% 130.66/17.00 # ...of these trivial : 3631
% 130.66/17.00 # ...subsumed : 6055
% 130.66/17.00 # ...remaining for further processing : 3441
% 130.66/17.00 # Other redundant clauses eliminated : 0
% 130.66/17.00 # Clauses deleted for lack of memory : 0
% 130.66/17.00 # Backward-subsumed : 0
% 130.66/17.00 # Backward-rewritten : 1039
% 130.66/17.00 # Generated clauses : 1026028
% 130.66/17.00 # ...of the previous two non-redundant : 605897
% 130.66/17.00 # ...aggressively subsumed : 0
% 130.66/17.00 # Contextual simplify-reflections : 0
% 130.66/17.00 # Paramodulations : 1026028
% 130.66/17.00 # Factorizations : 0
% 130.66/17.00 # NegExts : 0
% 130.66/17.00 # Equation resolutions : 0
% 130.66/17.00 # Total rewrite steps : 2218339
% 130.66/17.00 # Propositional unsat checks : 0
% 130.66/17.00 # Propositional check models : 0
% 130.66/17.00 # Propositional check unsatisfiable : 0
% 130.66/17.00 # Propositional clauses : 0
% 130.66/17.00 # Propositional clauses after purity: 0
% 130.66/17.00 # Propositional unsat core size : 0
% 130.66/17.00 # Propositional preprocessing time : 0.000
% 130.66/17.00 # Propositional encoding time : 0.000
% 130.66/17.00 # Propositional solver time : 0.000
% 130.66/17.00 # Success case prop preproc time : 0.000
% 130.66/17.00 # Success case prop encoding time : 0.000
% 130.66/17.00 # Success case prop solver time : 0.000
% 130.66/17.00 # Current number of processed clauses : 2379
% 130.66/17.00 # Positive orientable unit clauses : 2360
% 130.66/17.00 # Positive unorientable unit clauses: 18
% 130.66/17.00 # Negative unit clauses : 1
% 130.66/17.00 # Non-unit-clauses : 0
% 130.66/17.00 # Current number of unprocessed clauses: 589999
% 130.66/17.00 # ...number of literals in the above : 589999
% 130.66/17.00 # Current number of archived formulas : 0
% 130.66/17.00 # Current number of archived clauses : 1070
% 130.66/17.00 # Clause-clause subsumption calls (NU) : 0
% 130.66/17.00 # Rec. Clause-clause subsumption calls : 0
% 130.66/17.00 # Non-unit clause-clause subsumptions : 0
% 130.66/17.00 # Unit Clause-clause subsumption calls : 1368
% 130.66/17.00 # Rewrite failures with RHS unbound : 0
% 130.66/17.00 # BW rewrite match attempts : 113529
% 130.66/17.00 # BW rewrite match successes : 673
% 130.66/17.00 # Condensation attempts : 0
% 130.66/17.00 # Condensation successes : 0
% 130.66/17.00 # Termbank termtop insertions : 24727946
% 130.66/17.00
% 130.66/17.00 # -------------------------------------------------
% 130.66/17.00 # User time : 15.735 s
% 130.66/17.00 # System time : 0.566 s
% 130.66/17.00 # Total time : 16.302 s
% 130.66/17.00 # Maximum resident set size: 1640 pages
% 130.66/17.00
% 130.66/17.00 # -------------------------------------------------
% 130.66/17.00 # User time : 80.550 s
% 130.66/17.00 # System time : 1.173 s
% 130.66/17.00 # Total time : 81.723 s
% 130.66/17.00 # Maximum resident set size: 1688 pages
% 130.66/17.00 % E---3.1 exiting
% 130.66/17.00 % E---3.1 exiting
%------------------------------------------------------------------------------