%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET386-6 : 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 : n026.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 02:47:12 PM UTC 2026
% Result : Unsatisfiable 3.28s 1.28s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 15 unt; 2 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
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(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
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(f122,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_1) ).
fof(f123,plain,
x = restrict(x,universal_class,universal_class),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_2) ).
fof(f187,plain,
x = intersection(x,cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f28]) ).
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_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_256,negated_conjecture,
intersection(x,cross_product(universal_class,universal_class)) = x,
inference(cnf_transformation,[],[f187]) ).
tcf(c_257,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_2981,definition,
iPr_def_10 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2982,definition,
iPr_def_11 = intersection(x,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2983,negated_conjecture,
~ subclass(x,iPr_def_10),
inference(demodulation,[status(thm)],[c_257,c_2981]) ).
tcf(c_2984,negated_conjecture,
iPr_def_11 = x,
inference(demodulation,[status(thm)],[c_256,c_2982]) ).
tcf(c_3833,plain,
~ subclass(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_2983,c_2984]) ).
tcf(c_3834,plain,
intersection(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2982,c_2984]) ).
tcf(c_3906,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3834,c_182]) ).
tcf(c_3918,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_164,c_3906]) ).
tcf(c_3929,plain,
subclass(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_3918,c_165]) ).
tcf(c_3930,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3929,c_3833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET386-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n026.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 10:50:08 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.40 Running first-order theorem proving
% 0.16/0.40 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
% 0.16/0.41
% 0.16/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.41
% 0.16/0.41 % Detected problem language: tptp
% 0.16/0.42 % Proving...
% 3.28/1.28 % SZS status Started for theBenchmark.p
% 3.28/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.28
% 3.28/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.28/1.28
% 3.28/1.28 % ------ iProver source info
% 3.28/1.28
% 3.28/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.28/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.28/1.28 % git: non_committed_changes: false
% 3.28/1.28
% 3.28/1.28 % ------ Parsing...% successful
% 3.28/1.28
% 3.28/1.28
% 3.28/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.28/1.28
% 3.28/1.28 % ------ 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 %
% 3.28/1.28
% 3.28/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.28/1.28
% 3.28/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.28/1.28 % ------ Proving...
% 3.28/1.28 % ------ Problem Properties
% 3.28/1.28
% 3.28/1.28 %
% 3.28/1.28 % clauses 85
% 3.28/1.28 % conjectures 2
% 3.28/1.28 % EPR 14
% 3.28/1.28 % Horn 77
% 3.28/1.28 % unary 24
% 3.28/1.28 % binary 40
% 3.28/1.28 % lits 173
% 3.28/1.28 % lits eq 28
% 3.28/1.28 % fd_pure 0
% 3.28/1.28 % fd_pseudo 0
% 3.28/1.28 % fd_cond 3
% 3.28/1.28 % fd_pseudo_cond 7
% 3.28/1.28 % AC symbols 0
% 3.28/1.28
% 3.28/1.28 % ------ Schedule dynamic 5 is on
% 3.28/1.28
% 3.28/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.28
% 3.28/1.28
% 3.28/1.28 % ------
% 3.28/1.28 % Current options:
% 3.28/1.28 % ------
% 3.28/1.28
% 3.28/1.28
% 3.28/1.28 %
% 3.28/1.28
% 3.28/1.28 % ------ Proving...
% 3.28/1.28 %
% 3.28/1.28
% 3.28/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.28/1.28
% 3.28/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.28
% 3.28/1.28
%------------------------------------------------------------------------------