%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET076-6 : 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 02:46:25 PM UTC 2026
% Result : Unsatisfiable 6.37s 2.25s
% Output : CNFRefutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 32 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 10 :)
% 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(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f101,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
fof(f102,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
fof(f103,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_218,negated_conjecture,
member(x,z),
inference(cnf_transformation,[],[f101]) ).
tcf(c_219,negated_conjecture,
member(y,z),
inference(cnf_transformation,[],[f102]) ).
tcf(c_220,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
inference(cnf_transformation,[],[f103]) ).
tcf(c_6263,plain,
! [X0: $i,X1: $i,X2: $i] :
( subclass(unordered_pair(X0,X1),X2)
| ( not_subclass_element(unordered_pair(X0,X1),X2) = X1 )
| ( not_subclass_element(unordered_pair(X0,X1),X2) = X0 ) ),
inference(superposition,[status(thm)],[c_144,c_150]) ).
tcf(c_7787,plain,
( ( not_subclass_element(unordered_pair(x,y),z) = y )
| ( not_subclass_element(unordered_pair(x,y),z) = x ) ),
inference(superposition,[status(thm)],[c_6263,c_220]) ).
tcf(c_8152,plain,
( subclass(unordered_pair(x,y),z)
| ( not_subclass_element(unordered_pair(x,y),z) = x )
| ~ member(y,z) ),
inference(superposition,[status(thm)],[c_7787,c_145]) ).
tcf(c_8171,plain,
not_subclass_element(unordered_pair(x,y),z) = x,
inference(global_subsumption_just,[status(thm)],[c_8152,c_219,c_220,c_8152]) ).
tcf(c_8173,plain,
( subclass(unordered_pair(x,y),z)
| ~ member(x,z) ),
inference(superposition,[status(thm)],[c_8171,c_145]) ).
tcf(c_8175,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8173,c_220,c_218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET076-6 : 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 : n004.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 09:36:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 6.37/2.25 % SZS status Started for theBenchmark.p
% 6.37/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 6.37/2.25
% 6.37/2.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.37/2.25
% 6.37/2.25 % ------ iProver source info
% 6.37/2.25
% 6.37/2.25 % git: date: 2026-07-19 20:42:38 +0200
% 6.37/2.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.37/2.25 % git: non_committed_changes: false
% 6.37/2.25
% 6.37/2.25 % ------ Parsing...% successful
% 6.37/2.25
% 6.37/2.25
% 6.37/2.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.37/2.25
% 6.37/2.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 6.37/2.25
% 6.37/2.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.37/2.25
% 6.37/2.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.37/2.25 % ------ Proving...
% 6.37/2.25 % ------ Problem Properties
% 6.37/2.25
% 6.37/2.25 %
% 6.37/2.25 % clauses 70
% 6.37/2.25 % conjectures 3
% 6.37/2.25 % EPR 14
% 6.37/2.25 % Horn 62
% 6.37/2.25 % unary 18
% 6.37/2.25 % binary 32
% 6.37/2.25 % lits 148
% 6.37/2.25 % lits eq 20
% 6.37/2.25 % fd_pure 0
% 6.37/2.25 % fd_pseudo 0
% 6.37/2.25 % fd_cond 3
% 6.37/2.25 % fd_pseudo_cond 3
% 6.37/2.25 % AC symbols 0
% 6.37/2.25
% 6.37/2.25 % ------ Input Options Time Limit: Unbounded
% 6.37/2.25
% 6.37/2.25
% 6.37/2.25 % ------
% 6.37/2.25 % Current options:
% 6.37/2.25 % ------
% 6.37/2.25
% 6.37/2.25
% 6.37/2.25 %
% 6.37/2.25
% 6.37/2.25 % ------ Proving...
% 6.37/2.25 %
% 6.37/2.25
% 6.37/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 6.37/2.25
% 6.37/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.37/2.25
% 6.37/2.25
%------------------------------------------------------------------------------