%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM031-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:23:16 PM UTC 2026
% Result : Unsatisfiable 71.24s 12.12s
% Output : CNFRefutation 71.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 110 ( 39 unt; 7 def)
% Number of atoms : 331 ( 38 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 179 ( 80 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 126 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f63,axiom,
! [X0] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',function1) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM004-0.ax',symmetrization) ).
fof(f176,negated_conjecture,
subclass(inverse(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property4_1) ).
fof(f177,negated_conjecture,
symmetrization_of(x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property4_2) ).
fof(f178,plain,
x != symmetrization_of(x),
inference(reorient_equations,[],[f177]) ).
fof(f179,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f192,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(definition_unfolding,[],[f15,f179]) ).
fof(f269,plain,
subclass(domain_of(flip(cross_product(x,universal_class))),x),
inference(definition_unfolding,[],[f176,f39]) ).
fof(f270,plain,
x != complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f178,f192]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_212,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_257,plain,
! [X0: $i] :
( subclass(X0,cross_product(universal_class,universal_class))
| ~ function(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_344,negated_conjecture,
subclass(domain_of(flip(cross_product(x,universal_class))),x),
inference(cnf_transformation,[],[f269]) ).
tcf(c_345,negated_conjecture,
complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))) != x,
inference(cnf_transformation,[],[f270]) ).
tcf(c_4628,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4629,definition,
iPr_def_11 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_4630,definition,
iPr_def_12 = flip(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_4631,definition,
iPr_def_13 = domain_of(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_4632,definition,
iPr_def_14 = complement(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_4633,definition,
iPr_def_15 = intersection(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_4634,definition,
iPr_def_16 = complement(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_4635,negated_conjecture,
iPr_def_16 != x,
inference(demodulation,[status(thm)],[c_345,c_4629,c_4630,c_4631,c_4632,c_4628,c_4633,c_4634]) ).
tcf(c_4636,negated_conjecture,
subclass(iPr_def_13,x),
inference(demodulation,[status(thm)],[c_344]) ).
tcf(c_4637,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_4639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_6836,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ member(X0,iPr_def_14)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4633,c_229]) ).
tcf(c_7137,plain,
! [X0: $i] :
( ( iPr_def_16 = x )
| ( iPr_def_16 != X0 )
| ( x != X0 ) ),
inference(instantiation,[status(thm)],[c_4639]) ).
tcf(c_7476,plain,
! [X0: $i] :
( ( x = X0 )
| ~ subclass(x,X0)
| ~ subclass(X0,x) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_21747,plain,
( ( iPr_def_16 = x )
| ( iPr_def_16 != iPr_def_16 )
| ( x != iPr_def_16 ) ),
inference(instantiation,[status(thm)],[c_7137]) ).
tcf(c_21748,plain,
iPr_def_16 = iPr_def_16,
inference(instantiation,[status(thm)],[c_4637]) ).
tcf(c_29182,plain,
( ( x = iPr_def_16 )
| ~ subclass(iPr_def_16,x)
| ~ subclass(x,iPr_def_16) ),
inference(instantiation,[status(thm)],[c_7476]) ).
tcf(c_73056,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_4633,c_227]) ).
tcf(c_73085,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_210,c_230]) ).
tcf(c_73087,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_4628,c_230]) ).
tcf(c_73120,plain,
! [X0: $i] :
( subclass(iPr_def_15,X0)
| member(not_subclass_element(iPr_def_15,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_210,c_73056]) ).
tcf(c_73160,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| ~ member(not_subclass_element(iPr_def_10,X0),x) ),
inference(superposition,[status(thm)],[c_210,c_73087]) ).
tcf(c_73190,plain,
subclass(iPr_def_15,iPr_def_10),
inference(superposition,[status(thm)],[c_73120,c_211]) ).
tcf(c_73309,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_212,c_209]) ).
tcf(c_73318,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_4636,c_209]) ).
tcf(c_73372,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4628,c_231]) ).
tcf(c_73373,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| member(X0,iPr_def_13)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4632,c_231]) ).
tcf(c_73374,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| member(X0,iPr_def_15)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4634,c_231]) ).
tcf(c_73426,plain,
( ( iPr_def_10 = iPr_def_15 )
| ~ subclass(iPr_def_10,iPr_def_15) ),
inference(superposition,[status(thm)],[c_73190,c_215]) ).
tcf(c_73517,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_210,c_73309]) ).
tcf(c_73727,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ member(X0,iPr_def_14)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4633,c_229]) ).
tcf(c_77899,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_10)
| member(not_subclass_element(X0,X1),x) ),
inference(superposition,[status(thm)],[c_73517,c_73372]) ).
tcf(c_78284,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_14)
| member(not_subclass_element(X0,X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_73517,c_73373]) ).
tcf(c_78385,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_16)
| member(not_subclass_element(X0,X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_73517,c_73374]) ).
tcf(c_79591,plain,
! [X0: $i] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),iPr_def_10) ),
inference(superposition,[status(thm)],[c_77899,c_211]) ).
tcf(c_79648,plain,
! [X0: $i] :
( subclass(X0,iPr_def_14)
| member(not_subclass_element(X0,iPr_def_14),iPr_def_13) ),
inference(superposition,[status(thm)],[c_78284,c_211]) ).
tcf(c_80002,plain,
! [X0: $i] :
( subclass(X0,iPr_def_14)
| member(not_subclass_element(X0,iPr_def_14),x) ),
inference(superposition,[status(thm)],[c_79648,c_73318]) ).
tcf(c_80076,plain,
! [X0: $i] :
( subclass(X0,iPr_def_16)
| member(not_subclass_element(X0,iPr_def_16),iPr_def_15) ),
inference(superposition,[status(thm)],[c_78385,c_211]) ).
tcf(c_80160,plain,
subclass(iPr_def_10,iPr_def_14),
inference(superposition,[status(thm)],[c_80002,c_73160]) ).
tcf(c_80167,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_80160,c_209]) ).
tcf(c_80248,plain,
! [X0: $i] :
( subclass(X0,iPr_def_16)
| member(not_subclass_element(X0,iPr_def_16),iPr_def_10) ),
inference(superposition,[status(thm)],[c_80076,c_73056]) ).
tcf(c_81676,plain,
! [X0: $i] :
( subclass(complement(iPr_def_15),X0)
| ~ member(not_subclass_element(iPr_def_16,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_4634,c_73085]) ).
tcf(c_81682,plain,
! [X0: $i] :
( subclass(iPr_def_16,X0)
| ~ member(not_subclass_element(iPr_def_16,X0),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_81676,c_4634]) ).
tcf(c_93341,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ member(X0,iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_73727,c_6836,c_80167]) ).
tcf(c_93348,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_210,c_93341]) ).
tcf(c_93975,plain,
subclass(iPr_def_10,iPr_def_15),
inference(superposition,[status(thm)],[c_93348,c_211]) ).
tcf(c_93993,plain,
iPr_def_10 = iPr_def_15,
inference(backward_subsumption_resolution,[status(thm)],[c_73426,c_93975]) ).
tcf(c_94002,plain,
! [X0: $i] :
( subclass(iPr_def_16,X0)
| ~ member(not_subclass_element(iPr_def_16,X0),iPr_def_10) ),
inference(demodulation,[status(thm)],[c_81682,c_93993]) ).
tcf(c_96895,plain,
subclass(iPr_def_16,x),
inference(superposition,[status(thm)],[c_79591,c_94002]) ).
tcf(c_196458,plain,
complement(iPr_def_10) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_4634,c_93993]) ).
tcf(c_196634,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_210,c_230]) ).
tcf(c_196637,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_4628,c_230]) ).
tcf(c_196802,plain,
! [X0: $i,X1: $i] :
( member(X0,cross_product(universal_class,universal_class))
| ~ function(X1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_257,c_209]) ).
tcf(c_196861,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_4628,c_231]) ).
tcf(c_196863,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| member(X0,iPr_def_10)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_196458,c_231]) ).
tcf(c_198086,plain,
! [X0: $i] :
( subclass(complement(iPr_def_10),X0)
| ~ member(not_subclass_element(iPr_def_16,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_196458,c_196634]) ).
tcf(c_198087,plain,
! [X0: $i] :
( subclass(iPr_def_16,X0)
| ~ member(not_subclass_element(iPr_def_16,X0),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_198086,c_196458]) ).
tcf(c_207681,plain,
! [X0: $i,X1: $i] :
( member(unordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_219,c_196802]) ).
tcf(c_208721,plain,
! [X0: $i] :
( member(X0,universal_class)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_207681,c_221]) ).
tcf(c_208793,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| member(X0,iPr_def_10)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_208721,c_196863]) ).
tcf(c_208795,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_208721,c_196861]) ).
tcf(c_209353,plain,
! [X0: $i] :
( subclass(X0,iPr_def_16)
| member(not_subclass_element(X0,iPr_def_16),iPr_def_10)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_208793,c_211]) ).
tcf(c_209646,plain,
! [X0: $i] :
( subclass(X0,iPr_def_16)
| member(not_subclass_element(X0,iPr_def_16),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_209353,c_80248]) ).
tcf(c_209655,plain,
! [X0: $i] :
( subclass(X0,iPr_def_16)
| ~ member(not_subclass_element(X0,iPr_def_16),x) ),
inference(superposition,[status(thm)],[c_209646,c_196637]) ).
tcf(c_210814,plain,
! [X0: $i] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),iPr_def_10)
| ~ function(universal_class) ),
inference(superposition,[status(thm)],[c_208795,c_211]) ).
tcf(c_211154,plain,
! [X0: $i] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_210814,c_79591]) ).
tcf(c_211166,plain,
subclass(iPr_def_16,x),
inference(superposition,[status(thm)],[c_211154,c_198087]) ).
tcf(c_211204,plain,
( ( x = iPr_def_16 )
| ~ subclass(x,iPr_def_16) ),
inference(superposition,[status(thm)],[c_211166,c_215]) ).
tcf(c_211745,plain,
~ subclass(x,iPr_def_16),
inference(global_subsumption_just,[status(thm)],[c_211204,c_4635,c_21747,c_21748,c_29182,c_96895]) ).
tcf(c_213266,plain,
subclass(x,iPr_def_16),
inference(superposition,[status(thm)],[c_210,c_209655]) ).
tcf(c_213290,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_213266,c_211745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM031-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 02:42:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 71.24/12.12 % SZS status Started for theBenchmark.p
% 71.24/12.12 % SZS status Unsatisfiable for theBenchmark.p
% 71.24/12.12
% 71.24/12.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 71.24/12.12
% 71.24/12.12 % ------ iProver source info
% 71.24/12.12
% 71.24/12.12 % git: date: 2026-07-19 20:42:38 +0200
% 71.24/12.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 71.24/12.12 % git: non_committed_changes: false
% 71.24/12.12
% 71.24/12.12 % ------ Parsing...% successful
% 71.24/12.12
% 71.24/12.12
% 71.24/12.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 71.24/12.12
% 71.24/12.12 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 71.24/12.12
% 71.24/12.12 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 71.24/12.12
% 71.24/12.12 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 71.24/12.12 % ------ Proving...
% 71.24/12.12 % ------ Problem Properties
% 71.24/12.12
% 71.24/12.12 %
% 71.24/12.12 % clauses 123
% 71.24/12.12 % conjectures 2
% 71.24/12.12 % EPR 16
% 71.24/12.12 % Horn 111
% 71.24/12.12 % unary 34
% 71.24/12.12 % binary 58
% 71.24/12.12 % lits 257
% 71.24/12.12 % lits eq 47
% 71.24/12.12 % fd_pure 0
% 71.24/12.12 % fd_pseudo 0
% 71.24/12.12 % fd_cond 5
% 71.24/12.12 % fd_pseudo_cond 10
% 71.24/12.12 % AC symbols 0
% 71.24/12.12
% 71.24/12.12 % ------ Schedule dynamic 5 is on
% 71.24/12.12
% 71.24/12.12 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 71.24/12.12
% 71.24/12.12
% 71.24/12.12 % ------
% 71.24/12.12 % Current options:
% 71.24/12.12 % ------
% 71.24/12.12
% 71.24/12.12
% 71.24/12.12 %
% 71.24/12.12
% 71.24/12.12 % ------ Proving...
% 71.24/12.12 % Proof_search_loop: time out after: 7601 full_loop iterations
% 71.24/12.12
% 71.24/12.12 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 71.24/12.12
% 71.24/12.12
% 71.24/12.12 % ------
% 71.24/12.12 % Current options:
% 71.24/12.12 % ------
% 71.24/12.12
% 71.24/12.12
% 71.24/12.12 %
% 71.24/12.12
% 71.24/12.12 % ------ Proving...
% 71.24/12.12 %
% 71.24/12.12
% 71.24/12.12 % SZS status Unsatisfiable for theBenchmark.p
% 71.24/12.12
% 71.24/12.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 71.24/12.12
% 71.24/12.12
%------------------------------------------------------------------------------