%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET195-6 : 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 02:46:54 PM UTC 2026
% Result : Unsatisfiable 4.33s 2.09s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 13 unt; 4 def)
% Number of atoms : 85 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
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(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,
~ subclass(y,union(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_upper_bound2_1) ).
fof(f185,plain,
~ subclass(y,complement(intersection(complement(x),complement(y)))),
inference(definition_unfolding,[],[f122,f26]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_165,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_181,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] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_255,negated_conjecture,
~ subclass(y,complement(intersection(complement(x),complement(y)))),
inference(cnf_transformation,[],[f185]) ).
tcf(c_2974,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,definition,
iPr_def_12 = intersection(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2977,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2978,negated_conjecture,
~ subclass(y,iPr_def_13),
inference(demodulation,[status(thm)],[c_255,c_2975,c_2974,c_2976,c_2977]) ).
tcf(c_3922,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_181]) ).
tcf(c_3977,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2975,c_183]) ).
tcf(c_4123,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4180,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| member(X0,iPr_def_12)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2977,c_184]) ).
tcf(c_4267,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_163,c_4123]) ).
tcf(c_4778,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_12) ),
inference(superposition,[status(thm)],[c_4267,c_4180]) ).
tcf(c_15177,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| member(not_subclass_element(X0,iPr_def_13),iPr_def_12) ),
inference(superposition,[status(thm)],[c_4778,c_164]) ).
tcf(c_15201,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| member(not_subclass_element(X0,iPr_def_13),iPr_def_11) ),
inference(superposition,[status(thm)],[c_15177,c_3922]) ).
tcf(c_15223,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| ~ member(not_subclass_element(X0,iPr_def_13),y) ),
inference(superposition,[status(thm)],[c_15201,c_3977]) ).
tcf(c_15781,plain,
subclass(y,iPr_def_13),
inference(superposition,[status(thm)],[c_163,c_15223]) ).
tcf(c_15786,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15781,c_2978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET195-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 10:12:47 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 4.33/2.09 % SZS status Started for theBenchmark.p
% 4.33/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/2.09
% 4.33/2.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.33/2.09
% 4.33/2.09 % ------ iProver source info
% 4.33/2.09
% 4.33/2.09 % git: date: 2026-07-19 20:42:38 +0200
% 4.33/2.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.33/2.09 % git: non_committed_changes: false
% 4.33/2.09
% 4.33/2.09 % ------ Parsing...% successful
% 4.33/2.09
% 4.33/2.09
% 4.33/2.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.33/2.09
% 4.33/2.09 % ------ 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 %
% 4.33/2.09
% 4.33/2.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.33/2.09
% 4.33/2.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.33/2.09 % ------ Proving...
% 4.33/2.09 % ------ Problem Properties
% 4.33/2.09
% 4.33/2.09 %
% 4.33/2.09 % clauses 86
% 4.33/2.09 % conjectures 1
% 4.33/2.09 % EPR 13
% 4.33/2.09 % Horn 78
% 4.33/2.09 % unary 25
% 4.33/2.09 % binary 40
% 4.33/2.09 % lits 174
% 4.33/2.09 % lits eq 29
% 4.33/2.09 % fd_pure 0
% 4.33/2.09 % fd_pseudo 0
% 4.33/2.09 % fd_cond 3
% 4.33/2.09 % fd_pseudo_cond 7
% 4.33/2.09 % AC symbols 0
% 4.33/2.09
% 4.33/2.09 % ------ Schedule dynamic 5 is on
% 4.33/2.09
% 4.33/2.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.33/2.09
% 4.33/2.09
% 4.33/2.09 % ------
% 4.33/2.09 % Current options:
% 4.33/2.09 % ------
% 4.33/2.09
% 4.33/2.09
% 4.33/2.09 %
% 4.33/2.09
% 4.33/2.09 % ------ Proving...
% 4.33/2.09 %
% 4.33/2.09
% 4.33/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/2.09
% 4.33/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/2.09
% 4.33/2.09
%------------------------------------------------------------------------------