%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET166-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 02:46:48 PM UTC 2026
% Result : Unsatisfiable 3.42s 1.18s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
member(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_1) ).
fof(f123,negated_conjecture,
~ member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_2) ).
fof(f124,negated_conjecture,
~ member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union1_3) ).
fof(f127,plain,
member(x,complement(intersection(complement(y),complement(z)))),
inference(definition_unfolding,[],[f122,f26]) ).
tcf(c_164,negated_conjecture,
member(x,complement(intersection(complement(y),complement(z)))),
inference(cnf_transformation,[],[f127]) ).
tcf(c_165,negated_conjecture,
~ member(x,y),
inference(cnf_transformation,[],[f123]) ).
tcf(c_166,negated_conjecture,
~ member(x,z),
inference(cnf_transformation,[],[f124]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_178,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_1074,plain,
~ member(x,intersection(complement(y),complement(z))),
inference(superposition,[status(thm)],[c_164,c_177]) ).
tcf(c_1097,plain,
! [X0: $i] :
( member(x,X0)
| ~ subclass(complement(intersection(complement(y),complement(z))),X0) ),
inference(superposition,[status(thm)],[c_164,c_191]) ).
tcf(c_1109,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_178,c_1097]) ).
tcf(c_1158,plain,
( ~ member(x,complement(z))
| ~ member(x,complement(y)) ),
inference(superposition,[status(thm)],[c_173,c_1074]) ).
tcf(c_1218,plain,
( member(x,z)
| ~ member(x,universal_class)
| ~ member(x,complement(y)) ),
inference(superposition,[status(thm)],[c_176,c_1158]) ).
tcf(c_1219,plain,
~ member(x,complement(y)),
inference(forward_subsumption_resolution,[status(thm)],[c_1218,c_166,c_1109]) ).
tcf(c_1220,plain,
( member(x,y)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_176,c_1219]) ).
tcf(c_1221,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1220,c_165,c_1109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET166-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 10:06:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.42/1.18 % SZS status Started for theBenchmark.p
% 3.42/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.18
% 3.42/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.42/1.18
% 3.42/1.18 % ------ iProver source info
% 3.42/1.18
% 3.42/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.42/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.42/1.18 % git: non_committed_changes: false
% 3.42/1.18
% 3.42/1.18 % ------ Parsing...% successful
% 3.42/1.18
% 3.42/1.18
% 3.42/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.42/1.18
% 3.42/1.18 % ------ Preprocessing... sup_sim: 2 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.42/1.18
% 3.42/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.42/1.18
% 3.42/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.42/1.18 % ------ Proving...
% 3.42/1.18 % ------ Problem Properties
% 3.42/1.18
% 3.42/1.18 %
% 3.42/1.18 % clauses 24
% 3.42/1.18 % conjectures 3
% 3.42/1.18 % EPR 6
% 3.42/1.18 % Horn 22
% 3.42/1.18 % unary 8
% 3.42/1.18 % binary 9
% 3.42/1.18 % lits 47
% 3.42/1.18 % lits eq 5
% 3.42/1.18 % fd_pure 0
% 3.42/1.18 % fd_pseudo 0
% 3.42/1.18 % fd_cond 0
% 3.42/1.18 % fd_pseudo_cond 2
% 3.42/1.18 % AC symbols 0
% 3.42/1.18
% 3.42/1.18 % ------ Schedule dynamic 5 is on
% 3.42/1.18
% 3.42/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.42/1.18
% 3.42/1.18
% 3.42/1.18 % ------
% 3.42/1.18 % Current options:
% 3.42/1.18 % ------
% 3.42/1.18
% 3.42/1.18
% 3.42/1.18 %
% 3.42/1.18
% 3.42/1.18 % ------ Proving...
% 3.42/1.18 %
% 3.42/1.18
% 3.42/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.42/1.18
% 3.42/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.18
% 3.42/1.18
%------------------------------------------------------------------------------