%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET174-6 : 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 : n006.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 02:46:50 PM UTC 2026
% Result : Unsatisfiable 102.34s 15.43s
% Output : CNFRefutation 102.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 99 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 100 ( 47 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?; 38 :)
% 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(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(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,
intersection(x,intersection(y,union(x,z))) != intersection(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_absorbtion_for_intersection_1) ).
fof(f185,plain,
intersection(x,y) != intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),
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_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_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,
intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))) != intersection(x,y),
inference(cnf_transformation,[],[f185]) ).
tcf(c_3167,plain,
( ( intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))) = intersection(x,y) )
| ~ subclass(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))))
| ~ subclass(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_3173,plain,
( subclass(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_3174,plain,
( subclass(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y))
| member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_3490,plain,
( member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),x) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_3674,plain,
( member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_3682,plain,
( member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(y,complement(intersection(complement(x),complement(z)))))
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_4039,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_163,c_180]) ).
tcf(c_4043,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_163,c_181]) ).
tcf(c_4883,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_182,c_164]) ).
tcf(c_5010,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_6004,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(intersection(X0,X1),X2)
| member(not_subclass_element(intersection(X0,X1),X2),universal_class) ),
inference(superposition,[status(thm)],[c_4039,c_5010]) ).
tcf(c_6992,plain,
( member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))),intersection(x,y)),intersection(y,complement(intersection(complement(x),complement(z))))) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_40012,plain,
( subclass(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),intersection(y,complement(intersection(complement(x),complement(z))))) ),
inference(instantiation,[status(thm)],[c_4883]) ).
tcf(c_40013,plain,
( subclass(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),universal_class) ),
inference(instantiation,[status(thm)],[c_6004]) ).
tcf(c_40014,plain,
( subclass(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),y) ),
inference(instantiation,[status(thm)],[c_4043]) ).
tcf(c_40015,plain,
( subclass(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z))))))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),x) ),
inference(instantiation,[status(thm)],[c_4039]) ).
tcf(c_40122,plain,
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),intersection(y,complement(intersection(complement(x),complement(z)))))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),complement(intersection(complement(x),complement(z)))) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_40128,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),complement(x)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_40712,plain,
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),intersection(complement(x),complement(z)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),complement(intersection(complement(x),complement(z))))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),universal_class) ),
inference(instantiation,[status(thm)],[c_184]) ).
tcf(c_42743,plain,
! [X0: $i] :
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),complement(x))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),intersection(complement(x),X0)) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_50661,plain,
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),complement(x))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(y,complement(intersection(complement(x),complement(z)))))),intersection(complement(x),complement(z))) ),
inference(instantiation,[status(thm)],[c_42743]) ).
tcf(c_50662,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50661,c_40712,c_40128,c_40122,c_40013,c_40014,c_40015,c_40012,c_6992,c_3682,c_3674,c_3490,c_3173,c_3174,c_3167,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET174-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 10:08:26 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 102.34/15.43 % SZS status Started for theBenchmark.p
% 102.34/15.43 % SZS status Unsatisfiable for theBenchmark.p
% 102.34/15.43
% 102.34/15.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 102.34/15.43
% 102.34/15.43 % ------ iProver source info
% 102.34/15.43
% 102.34/15.43 % git: date: 2026-07-19 20:42:38 +0200
% 102.34/15.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 102.34/15.43 % git: non_committed_changes: false
% 102.34/15.43
% 102.34/15.43 % ------ Parsing...% successful
% 102.34/15.43
% 102.34/15.43
% 102.34/15.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 102.34/15.43
% 102.34/15.43 % ------ 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 %
% 102.34/15.43
% 102.34/15.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 102.34/15.43
% 102.34/15.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 102.34/15.43 % ------ Proving...
% 102.34/15.43 % ------ Problem Properties
% 102.34/15.43
% 102.34/15.43 %
% 102.34/15.43 % clauses 82
% 102.34/15.43 % conjectures 1
% 102.34/15.43 % EPR 12
% 102.34/15.43 % Horn 74
% 102.34/15.43 % unary 21
% 102.34/15.43 % binary 40
% 102.34/15.43 % lits 170
% 102.34/15.43 % lits eq 26
% 102.34/15.43 % fd_pure 0
% 102.34/15.43 % fd_pseudo 0
% 102.34/15.43 % fd_cond 3
% 102.34/15.43 % fd_pseudo_cond 7
% 102.34/15.43 % AC symbols 0
% 102.34/15.43
% 102.34/15.43 % ------ Input Options Time Limit: Unbounded
% 102.34/15.43
% 102.34/15.43
% 102.34/15.43 % ------
% 102.34/15.43 % Current options:
% 102.34/15.43 % ------
% 102.34/15.43
% 102.34/15.43
% 102.34/15.43 %
% 102.34/15.43
% 102.34/15.43 % ------ Proving...
% 102.34/15.43 %
% 102.34/15.43
% 102.34/15.43 % SZS status Unsatisfiable for theBenchmark.p
% 102.34/15.43
% 102.34/15.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 102.34/15.43
% 102.34/15.43
%------------------------------------------------------------------------------