%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET201-6 : 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 : n004.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 02:46:55 PM UTC 2026
% Result : Unsatisfiable 6.42s 1.74s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 13 unt; 2 def)
% Number of atoms : 89 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 53 ( 24 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 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; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 27 :)
% 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(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_1) ).
fof(f123,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_2) ).
fof(f124,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_3) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_166,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,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_257,negated_conjecture,
subclass(x,y),
inference(cnf_transformation,[],[f122]) ).
tcf(c_258,negated_conjecture,
subclass(z,w),
inference(cnf_transformation,[],[f123]) ).
tcf(c_259,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_2988,definition,
iPr_def_10 = intersection(x,z),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2989,definition,
iPr_def_11 = intersection(y,w),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2990,negated_conjecture,
~ subclass(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_259,c_2989,c_2988]) ).
tcf(c_2991,negated_conjecture,
subclass(z,w),
inference(demodulation,[status(thm)],[c_258]) ).
tcf(c_2992,negated_conjecture,
subclass(x,y),
inference(demodulation,[status(thm)],[c_257]) ).
tcf(c_3890,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2988,c_182]) ).
tcf(c_3916,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),x) ),
inference(superposition,[status(thm)],[c_165,c_3890]) ).
tcf(c_3958,plain,
! [X0: $i] :
( member(X0,z)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2988,c_183]) ).
tcf(c_4028,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),z) ),
inference(superposition,[status(thm)],[c_165,c_3958]) ).
tcf(c_4105,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2992,c_164]) ).
tcf(c_4106,plain,
! [X0: $i] :
( member(X0,w)
| ~ member(X0,z) ),
inference(superposition,[status(thm)],[c_2991,c_164]) ).
tcf(c_4258,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),y) ),
inference(superposition,[status(thm)],[c_3916,c_4105]) ).
tcf(c_4276,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),w) ),
inference(superposition,[status(thm)],[c_4028,c_4106]) ).
tcf(c_4424,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,w)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2989,c_184]) ).
tcf(c_5556,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),iPr_def_11)
| ~ member(not_subclass_element(iPr_def_10,X0),w) ),
inference(superposition,[status(thm)],[c_4258,c_4424]) ).
tcf(c_5642,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| member(not_subclass_element(iPr_def_10,X0),iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_5556,c_4276,c_5556]) ).
tcf(c_5649,plain,
subclass(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_5642,c_166]) ).
tcf(c_5653,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5649,c_2990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET201-6 : 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 : n004.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 10:14:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 6.42/1.74 % SZS status Started for theBenchmark.p
% 6.42/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.42/1.74
% 6.42/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.42/1.74
% 6.42/1.74 % ------ iProver source info
% 6.42/1.74
% 6.42/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 6.42/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.42/1.74 % git: non_committed_changes: false
% 6.42/1.74
% 6.42/1.74 % ------ Parsing...% successful
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.42/1.74
% 6.42/1.74 % ------ 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 %
% 6.42/1.74
% 6.42/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.42/1.74
% 6.42/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.42/1.74 % ------ Proving...
% 6.42/1.74 % ------ Problem Properties
% 6.42/1.74
% 6.42/1.74 %
% 6.42/1.74 % clauses 86
% 6.42/1.74 % conjectures 3
% 6.42/1.74 % EPR 15
% 6.42/1.74 % Horn 78
% 6.42/1.74 % unary 25
% 6.42/1.74 % binary 40
% 6.42/1.74 % lits 174
% 6.42/1.74 % lits eq 27
% 6.42/1.74 % fd_pure 0
% 6.42/1.74 % fd_pseudo 0
% 6.42/1.74 % fd_cond 3
% 6.42/1.74 % fd_pseudo_cond 7
% 6.42/1.74 % AC symbols 0
% 6.42/1.74
% 6.42/1.74 % ------ Schedule dynamic 5 is on
% 6.42/1.74
% 6.42/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 % ------
% 6.42/1.74 % Current options:
% 6.42/1.74 % ------
% 6.42/1.74
% 6.42/1.74
% 6.42/1.74 %
% 6.42/1.74
% 6.42/1.74 % ------ Proving...
% 6.42/1.74 %
% 6.42/1.74
% 6.42/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 6.42/1.74
% 6.42/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.42/1.74
% 6.42/1.74
%------------------------------------------------------------------------------