%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET143-6 : 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 : n007.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 02:46:44 PM UTC 2026
% Result : Unsatisfiable 25.25s 4.34s
% Output : CNFRefutation 25.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 11 unt; 4 def)
% Number of atoms : 185 ( 10 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 92 ( 39 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 43 :)
% 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(f122,negated_conjecture,
intersection(intersection(x,y),z) != intersection(x,intersection(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_intersection_1) ).
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,
intersection(intersection(x,y),z) != intersection(x,intersection(y,z)),
inference(cnf_transformation,[],[f122]) ).
tcf(c_2974,definition,
iPr_def_10 = intersection(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = intersection(iPr_def_10,z),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,definition,
iPr_def_12 = intersection(y,z),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2977,definition,
iPr_def_13 = intersection(x,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2978,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_255,c_2976,c_2977,c_2974,c_2975]) ).
tcf(c_3876,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2974,c_180]) ).
tcf(c_3877,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_180]) ).
tcf(c_3880,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_180]) ).
tcf(c_3881,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2977,c_180]) ).
tcf(c_3932,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_3880]) ).
tcf(c_3943,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),x) ),
inference(superposition,[status(thm)],[c_163,c_3881]) ).
tcf(c_3983,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2974,c_181]) ).
tcf(c_3984,plain,
! [X0: $i] :
( member(X0,z)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2976,c_181]) ).
tcf(c_3988,plain,
! [X0: $i] :
( member(X0,z)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2975,c_181]) ).
tcf(c_3989,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2977,c_181]) ).
tcf(c_4066,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),z) ),
inference(superposition,[status(thm)],[c_163,c_3988]) ).
tcf(c_4077,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_163,c_3989]) ).
tcf(c_4100,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),y) ),
inference(superposition,[status(thm)],[c_3932,c_3983]) ).
tcf(c_4101,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),x) ),
inference(superposition,[status(thm)],[c_3932,c_3876]) ).
tcf(c_4387,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),z) ),
inference(superposition,[status(thm)],[c_4077,c_3984]) ).
tcf(c_4388,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),y) ),
inference(superposition,[status(thm)],[c_4077,c_3877]) ).
tcf(c_4443,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2974,c_182]) ).
tcf(c_4444,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ member(X0,z)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2976,c_182]) ).
tcf(c_4451,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10)
| ~ member(X0,z) ),
inference(superposition,[status(thm)],[c_2975,c_182]) ).
tcf(c_4452,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ member(X0,iPr_def_12)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2977,c_182]) ).
tcf(c_5768,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_10)
| ~ member(not_subclass_element(iPr_def_13,X0),y) ),
inference(superposition,[status(thm)],[c_3943,c_4443]) ).
tcf(c_6064,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_12)
| ~ member(not_subclass_element(iPr_def_11,X0),z) ),
inference(superposition,[status(thm)],[c_4100,c_4444]) ).
tcf(c_26791,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_5768,c_4388,c_5768]) ).
tcf(c_26801,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_11)
| ~ member(not_subclass_element(iPr_def_13,X0),z) ),
inference(superposition,[status(thm)],[c_26791,c_4451]) ).
tcf(c_28870,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_12) ),
inference(global_subsumption_just,[status(thm)],[c_6064,c_4066,c_6064]) ).
tcf(c_28880,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_13)
| ~ member(not_subclass_element(iPr_def_11,X0),x) ),
inference(superposition,[status(thm)],[c_28870,c_4452]) ).
tcf(c_32812,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| member(not_subclass_element(iPr_def_13,X0),iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_26801,c_4387,c_26801]) ).
tcf(c_32819,plain,
subclass(iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_32812,c_164]) ).
tcf(c_32831,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ subclass(iPr_def_11,iPr_def_13) ),
inference(superposition,[status(thm)],[c_32819,c_168]) ).
tcf(c_32835,plain,
~ subclass(iPr_def_11,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_32831,c_2978]) ).
tcf(c_35080,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| member(not_subclass_element(iPr_def_11,X0),iPr_def_13) ),
inference(global_subsumption_just,[status(thm)],[c_28880,c_4101,c_28880]) ).
tcf(c_35087,plain,
subclass(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_35080,c_164]) ).
tcf(c_35096,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_35087,c_32835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET143-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 09:59:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 25.25/4.34 % SZS status Started for theBenchmark.p
% 25.25/4.34 % SZS status Unsatisfiable for theBenchmark.p
% 25.25/4.34
% 25.25/4.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.25/4.34
% 25.25/4.34 % ------ iProver source info
% 25.25/4.34
% 25.25/4.34 % git: date: 2026-07-19 20:42:38 +0200
% 25.25/4.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.25/4.34 % git: non_committed_changes: false
% 25.25/4.34
% 25.25/4.34 % ------ Parsing...% successful
% 25.25/4.34
% 25.25/4.34
% 25.25/4.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.25/4.34
% 25.25/4.34 % ------ 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 %
% 25.25/4.34
% 25.25/4.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.25/4.34
% 25.25/4.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.25/4.34 % ------ Proving...
% 25.25/4.34 % ------ Problem Properties
% 25.25/4.34
% 25.25/4.34 %
% 25.25/4.34 % clauses 86
% 25.25/4.34 % conjectures 1
% 25.25/4.34 % EPR 13
% 25.25/4.34 % Horn 78
% 25.25/4.34 % unary 25
% 25.25/4.34 % binary 40
% 25.25/4.34 % lits 174
% 25.25/4.34 % lits eq 30
% 25.25/4.34 % fd_pure 0
% 25.25/4.34 % fd_pseudo 0
% 25.25/4.34 % fd_cond 3
% 25.25/4.34 % fd_pseudo_cond 7
% 25.25/4.34 % AC symbols 0
% 25.25/4.34
% 25.25/4.34 % ------ Schedule dynamic 5 is on
% 25.25/4.34
% 25.25/4.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.25/4.34
% 25.25/4.34
% 25.25/4.34 % ------
% 25.25/4.34 % Current options:
% 25.25/4.34 % ------
% 25.25/4.34
% 25.25/4.34
% 25.25/4.34 %
% 25.25/4.34
% 25.25/4.34 % ------ Proving...
% 25.25/4.34 %
% 25.25/4.34
% 25.25/4.34 % SZS status Unsatisfiable for theBenchmark.p
% 25.25/4.34
% 25.25/4.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.25/4.34
% 25.25/4.34
%------------------------------------------------------------------------------