%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET160-6 : 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 : n012.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 02:46:47 PM UTC 2026
% Result : Unsatisfiable 32.67s 6.52s
% Output : CNFRefutation 32.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 61 ( 16 unt; 6 def)
% Number of atoms : 254 ( 37 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 118 ( 54 ~; 64 |; 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 : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
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(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,
union(x,y) != union(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_union_1) ).
fof(f185,plain,
complement(intersection(complement(x),complement(y))) != complement(intersection(complement(y),complement(x))),
inference(definition_unfolding,[],[f122,f26,f26]) ).
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_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_255,negated_conjecture,
complement(intersection(complement(x),complement(y))) != complement(intersection(complement(y),complement(x))),
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,definition,
iPr_def_14 = intersection(iPr_def_11,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2979,definition,
iPr_def_15 = complement(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2980,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_255,c_2978,c_2979,c_2975,c_2974,c_2976,c_2977]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2989,plain,
! [X0: $i,X1: $i] :
( ( complement(X0) = complement(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3888,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_180]) ).
tcf(c_3889,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2978,c_180]) ).
tcf(c_3912,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_3888]) ).
tcf(c_3923,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_163,c_3889]) ).
tcf(c_3966,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_181]) ).
tcf(c_3967,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2978,c_181]) ).
tcf(c_4032,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_163,c_3966]) ).
tcf(c_4043,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_3967]) ).
tcf(c_4317,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_15 != X0 )
| ( iPr_def_13 != X0 ) ),
inference(instantiation,[status(thm)],[c_2983]) ).
tcf(c_4460,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2976,c_182]) ).
tcf(c_4461,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2978,c_182]) ).
tcf(c_5080,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2983]) ).
tcf(c_6105,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_12)
| ~ member(not_subclass_element(iPr_def_14,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_3923,c_4460]) ).
tcf(c_6152,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_14)
| ~ member(not_subclass_element(iPr_def_12,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4032,c_4461]) ).
tcf(c_8423,plain,
! [X0: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != complement(iPr_def_12) )
| ( X0 != complement(iPr_def_12) ) ),
inference(instantiation,[status(thm)],[c_5080]) ).
tcf(c_15750,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_15 != complement(iPr_def_14) )
| ( iPr_def_13 != complement(iPr_def_14) ) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_26944,plain,
( ( iPr_def_13 = complement(iPr_def_14) )
| ( iPr_def_13 != complement(iPr_def_12) )
| ( complement(iPr_def_14) != complement(iPr_def_12) ) ),
inference(instantiation,[status(thm)],[c_8423]) ).
tcf(c_45570,plain,
( ( complement(iPr_def_14) = complement(iPr_def_12) )
| ( iPr_def_14 != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_2989]) ).
tcf(c_49298,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2978,c_180]) ).
tcf(c_49327,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_181]) ).
tcf(c_49391,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_163,c_49298]) ).
tcf(c_49401,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_163,c_49327]) ).
tcf(c_49727,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2976,c_182]) ).
tcf(c_49728,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2978,c_182]) ).
tcf(c_51534,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_12)
| ~ member(not_subclass_element(iPr_def_14,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_49391,c_49727]) ).
tcf(c_51570,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_14)
| ~ member(not_subclass_element(iPr_def_12,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_49401,c_49728]) ).
tcf(c_77123,plain,
( ( iPr_def_14 = iPr_def_12 )
| ~ subclass(iPr_def_14,iPr_def_12)
| ~ subclass(iPr_def_12,iPr_def_14) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_88919,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_12) ),
inference(global_subsumption_just,[status(thm)],[c_6105,c_4043,c_6105]) ).
tcf(c_88926,plain,
subclass(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_88919,c_164]) ).
tcf(c_115366,plain,
! [X0: $i] :
( subclass(iPr_def_14,X0)
| member(not_subclass_element(iPr_def_14,X0),iPr_def_12) ),
inference(global_subsumption_just,[status(thm)],[c_51534,c_88919]) ).
tcf(c_115372,plain,
subclass(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_115366,c_164]) ).
tcf(c_115411,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ subclass(iPr_def_12,iPr_def_14) ),
inference(superposition,[status(thm)],[c_115372,c_168]) ).
tcf(c_115631,plain,
~ subclass(iPr_def_12,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_115411,c_2977,c_2979,c_2980,c_15750,c_26944,c_45570,c_77123,c_88926]) ).
tcf(c_118007,plain,
! [X0: $i] :
( subclass(iPr_def_12,X0)
| member(not_subclass_element(iPr_def_12,X0),iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_51570,c_3912,c_6152]) ).
tcf(c_118014,plain,
subclass(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_118007,c_164]) ).
tcf(c_118024,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_118014,c_115631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET160-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 10:04:38 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 32.67/6.52 % SZS status Started for theBenchmark.p
% 32.67/6.52 % SZS status Unsatisfiable for theBenchmark.p
% 32.67/6.52
% 32.67/6.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.67/6.52
% 32.67/6.52 % ------ iProver source info
% 32.67/6.52
% 32.67/6.52 % git: date: 2026-07-19 20:42:38 +0200
% 32.67/6.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.67/6.52 % git: non_committed_changes: false
% 32.67/6.52
% 32.67/6.52 % ------ Parsing...% successful
% 32.67/6.52
% 32.67/6.52
% 32.67/6.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 32.67/6.52
% 32.67/6.52 % ------ 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 %
% 32.67/6.52
% 32.67/6.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 32.67/6.52
% 32.67/6.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.67/6.52 % ------ Proving...
% 32.67/6.52 % ------ Problem Properties
% 32.67/6.52
% 32.67/6.52 %
% 32.67/6.52 % clauses 88
% 32.67/6.52 % conjectures 1
% 32.67/6.52 % EPR 13
% 32.67/6.52 % Horn 80
% 32.67/6.52 % unary 27
% 32.67/6.52 % binary 40
% 32.67/6.52 % lits 176
% 32.67/6.52 % lits eq 32
% 32.67/6.52 % fd_pure 0
% 32.67/6.52 % fd_pseudo 0
% 32.67/6.52 % fd_cond 3
% 32.67/6.52 % fd_pseudo_cond 7
% 32.67/6.52 % AC symbols 0
% 32.67/6.52
% 32.67/6.52 % ------ Schedule dynamic 5 is on
% 32.67/6.52
% 32.67/6.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.67/6.52
% 32.67/6.52
% 32.67/6.52 % ------
% 32.67/6.52 % Current options:
% 32.67/6.52 % ------
% 32.67/6.52
% 32.67/6.52
% 32.67/6.52 %
% 32.67/6.52
% 32.67/6.52 % ------ Proving...
% 32.67/6.52 %
% 32.67/6.52
% 32.67/6.52 % SZS status Unsatisfiable for theBenchmark.p
% 32.67/6.52
% 32.67/6.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.67/6.52
% 32.67/6.52
%------------------------------------------------------------------------------