TSTP Solution File: KLE084-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE084-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:26:00 EDT 2023
% Result : Unsatisfiable 1.05s 1.13s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 123 ( 109 unt; 14 typ; 0 def)
% Number of atoms : 109 ( 108 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 163 ( 18 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
addition: ( $i * $i ) > $i ).
tff(decl_25,type,
zero: $i ).
tff(decl_26,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_27,type,
one: $i ).
tff(decl_28,type,
leq: ( $i * $i ) > $i ).
tff(decl_29,type,
true: $i ).
tff(decl_30,type,
antidomain: $i > $i ).
tff(decl_31,type,
domain: $i > $i ).
tff(decl_32,type,
coantidomain: $i > $i ).
tff(decl_33,type,
codomain: $i > $i ).
tff(decl_34,type,
sK2_goals_X0: $i ).
tff(decl_35,type,
sK1_goals_X1: $i ).
cnf(left_distributivity,axiom,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
cnf(domain1,axiom,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
cnf(additive_identity,axiom,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
cnf(domain3,axiom,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
cnf(additive_commutativity,axiom,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
cnf(multiplicative_right_identity,axiom,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',domain2) ).
cnf(codomain1,axiom,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
cnf(multiplicative_left_identity,axiom,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
cnf(right_distributivity,axiom,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
cnf(additive_associativity,axiom,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
cnf(additive_idempotence,axiom,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
cnf(codomain3,axiom,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
cnf(multiplicative_associativity,axiom,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
cnf(left_annihilation,axiom,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
cnf(right_annihilation,axiom,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(domain4,axiom,
domain(X1) = antidomain(antidomain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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
% 0.00/0.12 % Problem : KLE084-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 11:28:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 1.05/1.13 % Version : CSE_E---1.5
% 1.05/1.13 % Problem : theBenchmark.p
% 1.05/1.13 % Proof found
% 1.05/1.13 % SZS status Theorem for theBenchmark.p
% 1.05/1.13 % SZS output start Proof
% See solution above
% 1.05/1.13 % Total time : 0.566000 s
% 1.05/1.13 % SZS output end Proof
% 1.05/1.13 % Total time : 0.569000 s
%------------------------------------------------------------------------------