%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET185-6 : 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 02:46:52 PM UTC 2026
% Result : Unsatisfiable 58.95s 21.34s
% Output : CNFRefutation 58.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 116 ( 40 unt; 4 def)
% Number of atoms : 339 ( 54 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 181 ( 72 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 137 ( 0 sgn 137 !; 0 ?; 90 :)
% 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(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
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(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',image) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',sum_class_definition) ).
fof(f71,axiom,
! [X0,X1] : sum_class(image(X0,singleton(X1))) = apply(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',apply) ).
fof(f73,axiom,
! [X0] :
( member(apply(choice,X0),X0)
| X0 = null_class
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',choice2) ).
fof(f74,plain,
! [X0] :
( member(apply(choice,X0),X0)
| null_class = X0
| ~ member(X0,universal_class) ),
inference(reorient_equations,[],[f73]) ).
fof(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property3_1) ).
fof(f123,negated_conjecture,
union(x,y) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property3_2) ).
fof(f124,plain,
y != union(x,y),
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f127,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f126,f28]) ).
fof(f128,plain,
! [X0,X1] : apply(X0,X1) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f71,f125,f127,f12]) ).
fof(f164,plain,
! [X0] :
( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X0)
| null_class = X0
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f74,f128]) ).
fof(f187,plain,
y != complement(intersection(complement(x),complement(y))),
inference(definition_unfolding,[],[f124,f26]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_166,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_218,plain,
! [X0: $i] :
( member(domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(X0,X0),universal_class)),universal_class))))))),X0)
| ( X0 = null_class )
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_256,negated_conjecture,
subclass(x,y),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
complement(intersection(complement(x),complement(y))) != y,
inference(cnf_transformation,[],[f187]) ).
tcf(c_2981,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2982,definition,
iPr_def_11 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2983,definition,
iPr_def_12 = intersection(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2984,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2985,negated_conjecture,
iPr_def_13 != y,
inference(demodulation,[status(thm)],[c_257,c_2982,c_2981,c_2983,c_2984]) ).
tcf(c_2986,negated_conjecture,
subclass(x,y),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_3924,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2983,c_182]) ).
tcf(c_3936,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_164,c_3924]) ).
tcf(c_3947,plain,
subclass(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_3936,c_165]) ).
tcf(c_3975,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2982,c_184]) ).
tcf(c_4056,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| ~ member(not_subclass_element(iPr_def_11,X0),y) ),
inference(superposition,[status(thm)],[c_164,c_3975]) ).
tcf(c_4123,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2986,c_163]) ).
tcf(c_4128,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_163]) ).
tcf(c_4186,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2981,c_185]) ).
tcf(c_4227,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ subclass(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3947,c_169]) ).
tcf(c_4412,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2983,c_183]) ).
tcf(c_4724,plain,
( ( iPr_def_13 = y )
| ~ subclass(iPr_def_13,y)
| ~ subclass(y,iPr_def_13) ),
inference(instantiation,[status(thm)],[c_169]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair(X0,X1) = null_class )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0 )
| ~ member(unordered_pair(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_218,c_170]) ).
tcf(c_5625,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair(X0,X1) = null_class )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X1 )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X1)),universal_class)),universal_class))))))) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5558,c_173]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair(X1,X0) = null_class )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X0)),universal_class)),universal_class))))))) = X0 )
| ( X0 != X1 ) ),
inference(equality_factoring,[status(thm)],[c_5625]) ).
tcf(c_7042,plain,
! [X0: $i] :
( ( unordered_pair(X0,X0) = null_class )
| ( domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(choice,cross_product(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),universal_class)),universal_class))))))) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_6430]) ).
tcf(c_7923,plain,
! [X0: $i] :
( member(X0,unordered_pair(X0,X0))
| ( unordered_pair(X0,X0) = null_class )
| ~ member(unordered_pair(X0,X0),universal_class) ),
inference(superposition,[status(thm)],[c_7042,c_218]) ).
tcf(c_7924,plain,
! [X0: $i] :
( member(X0,unordered_pair(X0,X0))
| ( unordered_pair(X0,X0) = null_class ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7923,c_173]) ).
tcf(c_8235,plain,
! [X0: $i] :
( member(X0,universal_class)
| ( unordered_pair(X0,X0) = null_class ) ),
inference(superposition,[status(thm)],[c_7924,c_4128]) ).
tcf(c_9981,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ( unordered_pair(X0,X0) = null_class ) ),
inference(superposition,[status(thm)],[c_8235,c_4186]) ).
tcf(c_53291,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2983,c_182]) ).
tcf(c_53302,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_164,c_184]) ).
tcf(c_53305,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2982,c_184]) ).
tcf(c_53349,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_164,c_53291]) ).
tcf(c_53395,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| ~ member(not_subclass_element(iPr_def_11,X0),y) ),
inference(superposition,[status(thm)],[c_164,c_53305]) ).
tcf(c_53415,plain,
subclass(iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_53349,c_165]) ).
tcf(c_53429,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2986,c_163]) ).
tcf(c_53434,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_163]) ).
tcf(c_53478,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2981,c_185]) ).
tcf(c_53479,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| member(X0,y)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2982,c_185]) ).
tcf(c_53527,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ subclass(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_53415,c_169]) ).
tcf(c_53599,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_164,c_53434]) ).
tcf(c_53692,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2983,c_183]) ).
tcf(c_54051,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_53599,c_53478]) ).
tcf(c_54572,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_11)
| member(not_subclass_element(X0,X1),y) ),
inference(superposition,[status(thm)],[c_53599,c_53479]) ).
tcf(c_55142,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_10)
| member(not_subclass_element(X0,X1),y) ),
inference(superposition,[status(thm)],[c_54051,c_53429]) ).
tcf(c_55174,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_55142,c_53395]) ).
tcf(c_55205,plain,
subclass(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_55174,c_165]) ).
tcf(c_55215,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_55205,c_163]) ).
tcf(c_55306,plain,
! [X0: $i] :
( subclass(X0,y)
| member(not_subclass_element(X0,y),iPr_def_11) ),
inference(superposition,[status(thm)],[c_54572,c_165]) ).
tcf(c_55675,plain,
! [X0: $i] :
( subclass(complement(iPr_def_12),X0)
| ~ member(not_subclass_element(iPr_def_13,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_2984,c_53302]) ).
tcf(c_55677,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| ~ member(not_subclass_element(iPr_def_13,X0),iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_55675,c_2984]) ).
tcf(c_56149,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_53692,c_4412,c_55215]) ).
tcf(c_56156,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_164,c_56149]) ).
tcf(c_56469,plain,
subclass(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_56156,c_165]) ).
tcf(c_56476,plain,
iPr_def_11 = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_53527,c_56469]) ).
tcf(c_56481,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| ~ member(not_subclass_element(iPr_def_13,X0),iPr_def_11) ),
inference(demodulation,[status(thm)],[c_55677,c_56476]) ).
tcf(c_56770,plain,
subclass(iPr_def_13,y),
inference(superposition,[status(thm)],[c_55306,c_56481]) ).
tcf(c_66398,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,y)
| ( unordered_pair(X0,X0) = null_class ) ),
inference(superposition,[status(thm)],[c_9981,c_4123]) ).
tcf(c_66480,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10)
| ( unordered_pair(not_subclass_element(iPr_def_11,X0),not_subclass_element(iPr_def_11,X0)) = null_class ) ),
inference(superposition,[status(thm)],[c_66398,c_4056]) ).
tcf(c_66578,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_66480,c_55174]) ).
tcf(c_66584,plain,
subclass(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_66578,c_165]) ).
tcf(c_66609,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_66584,c_163]) ).
tcf(c_68882,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4412,c_66609]) ).
tcf(c_69188,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_164,c_68882]) ).
tcf(c_69315,plain,
subclass(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_69188,c_165]) ).
tcf(c_69328,plain,
iPr_def_11 = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_4227,c_69315]) ).
tcf(c_183268,plain,
complement(iPr_def_11) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_2984,c_69328]) ).
tcf(c_183357,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2982,c_184]) ).
tcf(c_183418,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_163]) ).
tcf(c_183492,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_164,c_183418]) ).
tcf(c_183569,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| member(X0,iPr_def_11)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_183268,c_185]) ).
tcf(c_184010,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_13)
| member(not_subclass_element(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_183492,c_183569]) ).
tcf(c_184055,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| member(not_subclass_element(X0,iPr_def_13),iPr_def_11) ),
inference(superposition,[status(thm)],[c_184010,c_165]) ).
tcf(c_184173,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| ~ member(not_subclass_element(X0,iPr_def_13),y) ),
inference(superposition,[status(thm)],[c_184055,c_183357]) ).
tcf(c_185805,plain,
subclass(y,iPr_def_13),
inference(superposition,[status(thm)],[c_164,c_184173]) ).
tcf(c_185807,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_185805,c_56770,c_4724,c_2985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET185-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.54 % Computer : n012.cluster.edu
% 0.04/10.54 % Model : x86_64 x86_64
% 0.04/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.54 % Memory : 8046.5625MB
% 0.04/10.54 % OS : Linux 6.8.0-71-generic
% 0.04/10.54 % CPULimit : 300
% 0.04/10.54 % WCLimit : 300
% 0.04/10.54 % DateTime : Thu Sep 24 10:10:50 UTC 2026
% 0.04/10.54 % CPUTime :
% 0.04/10.54 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/10.56 Running first-order theorem proving
% 0.04/10.56 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
% 0.04/10.57
% 0.04/10.57 % ======== iProver multi-core TPTP/SMT =========
% 0.04/10.57
% 0.04/10.57 % Detected problem language: tptp
% 0.04/10.57 % Proving...
% 58.95/21.34 % SZS status Started for theBenchmark.p
% 58.95/21.34 % SZS status Unsatisfiable for theBenchmark.p
% 58.95/21.34
% 58.95/21.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 58.95/21.34
% 58.95/21.34 % ------ iProver source info
% 58.95/21.34
% 58.95/21.34 % git: date: 2026-07-19 20:42:38 +0200
% 58.95/21.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 58.95/21.34 % git: non_committed_changes: false
% 58.95/21.34
% 58.95/21.34 % ------ Parsing...% successful
% 58.95/21.34
% 58.95/21.34
% 58.95/21.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 58.95/21.34
% 58.95/21.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 58.95/21.34
% 58.95/21.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 58.95/21.34
% 58.95/21.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.95/21.34 % ------ Proving...
% 58.95/21.34 % ------ Problem Properties
% 58.95/21.34
% 58.95/21.34 %
% 58.95/21.34 % clauses 87
% 58.95/21.34 % conjectures 2
% 58.95/21.34 % EPR 14
% 58.95/21.34 % Horn 79
% 58.95/21.34 % unary 26
% 58.95/21.34 % binary 40
% 58.95/21.34 % lits 175
% 58.95/21.34 % lits eq 30
% 58.95/21.34 % fd_pure 0
% 58.95/21.34 % fd_pseudo 0
% 58.95/21.34 % fd_cond 3
% 58.95/21.34 % fd_pseudo_cond 7
% 58.95/21.34 % AC symbols 0
% 58.95/21.34
% 58.95/21.34 % ------ Schedule dynamic 5 is on
% 58.95/21.34
% 58.95/21.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 58.95/21.34
% 58.95/21.34
% 58.95/21.34 % ------
% 58.95/21.34 % Current options:
% 58.95/21.34 % ------
% 58.95/21.34
% 58.95/21.34
% 58.95/21.34 %
% 58.95/21.34
% 58.95/21.34 % ------ Proving...
% 58.95/21.34 % Proof_search_loop: time out after: 4633 full_loop iterations
% 58.95/21.34
% 58.95/21.34 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 58.95/21.34
% 58.95/21.34
% 58.95/21.34 % ------
% 58.95/21.34 % Current options:
% 58.95/21.34 % ------
% 58.95/21.34
% 58.95/21.34
% 58.95/21.34 %
% 58.95/21.34
% 58.95/21.34 % ------ Proving...
% 58.95/21.34 %
% 58.95/21.34
% 58.95/21.34 % SZS status Unsatisfiable for theBenchmark.p
% 58.95/21.34
% 58.95/21.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.95/21.34
% 58.95/21.34
%------------------------------------------------------------------------------