%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET191-6 : 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 : n016.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 02:46:53 PM UTC 2026
% Result : Unsatisfiable 10.15s 2.79s
% Output : CNFRefutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 28 unt; 5 def)
% Number of atoms : 157 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 91 ( 45 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 47 :)
% 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(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(f122,negated_conjecture,
union(complement(x),y) = universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_1) ).
fof(f123,plain,
universal_class = union(complement(x),y),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_2) ).
fof(f187,plain,
universal_class = complement(intersection(complement(complement(x)),complement(y))),
inference(definition_unfolding,[],[f123,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_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_256,negated_conjecture,
complement(intersection(complement(complement(x)),complement(y))) = universal_class,
inference(cnf_transformation,[],[f187]) ).
tcf(c_257,negated_conjecture,
~ subclass(x,y),
inference(cnf_transformation,[],[f124]) ).
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(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2983,definition,
iPr_def_12 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2984,definition,
iPr_def_13 = intersection(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2985,definition,
iPr_def_14 = complement(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2986,negated_conjecture,
~ subclass(x,y),
inference(demodulation,[status(thm)],[c_257]) ).
tcf(c_2987,negated_conjecture,
iPr_def_14 = universal_class,
inference(demodulation,[status(thm)],[c_256,c_2983,c_2981,c_2982,c_2984,c_2985]) ).
tcf(c_3848,plain,
! [X0: $i] : subclass(X0,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_166,c_2987]) ).
tcf(c_3995,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_3997,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2981,c_184]) ).
tcf(c_4000,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_14)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2985,c_184]) ).
tcf(c_4156,plain,
! [X0: $i,X1: $i] :
( member(X0,iPr_def_14)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3848,c_163]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_185,c_2987]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1)
| ~ member(not_subclass_element(X0,complement(X1)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_4209,c_165]) ).
tcf(c_4314,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_164,c_4156]) ).
tcf(c_4349,plain,
! [X0: $i] : ~ member(X0,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_4000,c_4156]) ).
tcf(c_4494,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2984,c_183]) ).
tcf(c_4503,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4494,c_4349]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4223,c_4314]) ).
tcf(c_6737,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_4503]) ).
tcf(c_9674,plain,
! [X0: $i] :
( subclass(X0,complement(iPr_def_10))
| ~ member(not_subclass_element(X0,complement(iPr_def_10)),x) ),
inference(superposition,[status(thm)],[c_5535,c_3997]) ).
tcf(c_9690,plain,
subclass(iPr_def_11,complement(iPr_def_12)),
inference(superposition,[status(thm)],[c_5535,c_6737]) ).
tcf(c_9712,plain,
! [X0: $i] :
( subclass(X0,iPr_def_11)
| ~ member(not_subclass_element(X0,iPr_def_11),x) ),
inference(light_normalisation,[status(thm)],[c_9674,c_2982]) ).
tcf(c_9994,plain,
! [X0: $i] :
( member(X0,complement(iPr_def_12))
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9690,c_163]) ).
tcf(c_11161,plain,
! [X0: $i,X1: $i] :
( subclass(complement(complement(X0)),X1)
| member(not_subclass_element(complement(complement(X0)),X1),X0)
| ~ member(not_subclass_element(complement(complement(X0)),X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_4209,c_3995]) ).
tcf(c_11424,plain,
! [X0: $i,X1: $i] :
( subclass(complement(complement(X0)),X1)
| member(not_subclass_element(complement(complement(X0)),X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11161,c_4314]) ).
tcf(c_11436,plain,
! [X0: $i] : subclass(complement(complement(X0)),X0),
inference(superposition,[status(thm)],[c_11424,c_165]) ).
tcf(c_12219,plain,
subclass(complement(iPr_def_10),x),
inference(superposition,[status(thm)],[c_2981,c_11436]) ).
tcf(c_12220,plain,
subclass(complement(iPr_def_12),y),
inference(superposition,[status(thm)],[c_2983,c_11436]) ).
tcf(c_12229,plain,
subclass(iPr_def_11,x),
inference(light_normalisation,[status(thm)],[c_12219,c_2982]) ).
tcf(c_12237,plain,
( ( x = iPr_def_11 )
| ~ subclass(x,iPr_def_11) ),
inference(superposition,[status(thm)],[c_12229,c_169]) ).
tcf(c_12265,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,complement(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12220,c_163]) ).
tcf(c_13086,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9994,c_12265]) ).
tcf(c_13321,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),y) ),
inference(superposition,[status(thm)],[c_164,c_13086]) ).
tcf(c_14317,plain,
subclass(iPr_def_11,y),
inference(superposition,[status(thm)],[c_13321,c_165]) ).
tcf(c_16377,plain,
subclass(x,iPr_def_11),
inference(superposition,[status(thm)],[c_164,c_9712]) ).
tcf(c_16382,plain,
x = iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_12237,c_16377]) ).
tcf(c_16407,plain,
~ subclass(iPr_def_11,y),
inference(demodulation,[status(thm)],[c_2986,c_16382]) ).
tcf(c_16408,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16407,c_14317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET191-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 10:15:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 10.15/2.79 % SZS status Started for theBenchmark.p
% 10.15/2.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.79
% 10.15/2.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.15/2.79
% 10.15/2.79 % ------ iProver source info
% 10.15/2.79
% 10.15/2.79 % git: date: 2026-07-19 20:42:38 +0200
% 10.15/2.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.15/2.79 % git: non_committed_changes: false
% 10.15/2.79
% 10.15/2.79 % ------ Parsing...% successful
% 10.15/2.79
% 10.15/2.79
% 10.15/2.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.15/2.79
% 10.15/2.79 % ------ 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 %
% 10.15/2.79
% 10.15/2.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.15/2.79
% 10.15/2.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.15/2.79 % ------ Proving...
% 10.15/2.79 % ------ Problem Properties
% 10.15/2.79
% 10.15/2.79 %
% 10.15/2.79 % clauses 88
% 10.15/2.79 % conjectures 2
% 10.15/2.79 % EPR 14
% 10.15/2.79 % Horn 80
% 10.15/2.79 % unary 27
% 10.15/2.79 % binary 40
% 10.15/2.79 % lits 176
% 10.15/2.79 % lits eq 31
% 10.15/2.79 % fd_pure 0
% 10.15/2.79 % fd_pseudo 0
% 10.15/2.79 % fd_cond 3
% 10.15/2.79 % fd_pseudo_cond 7
% 10.15/2.79 % AC symbols 0
% 10.15/2.79
% 10.15/2.79 % ------ Schedule dynamic 5 is on
% 10.15/2.79
% 10.15/2.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.15/2.79
% 10.15/2.79
% 10.15/2.79 % ------
% 10.15/2.79 % Current options:
% 10.15/2.79 % ------
% 10.15/2.79
% 10.15/2.79
% 10.15/2.79 %
% 10.15/2.79
% 10.15/2.79 % ------ Proving...
% 10.15/2.79 %
% 10.15/2.79
% 10.15/2.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.15/2.79
% 10.15/2.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.15/2.79
% 10.15/2.79
%------------------------------------------------------------------------------