%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET077-7 : 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 : n026.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 02:46:28 PM UTC 2026
% Result : Unsatisfiable 1.56s 1.28s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f132,negated_conjecture,
~ member(singleton(x),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singletons_are_sets_1) ).
fof(f192,plain,
~ member(unordered_pair(x,x),universal_class),
inference(definition_unfolding,[],[f132,f12]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_272,negated_conjecture,
~ member(unordered_pair(x,x),universal_class),
inference(cnf_transformation,[],[f192]) ).
tcf(c_710,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_272,c_179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET077-7 : 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 : n026.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 09:40:38 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.56/1.28 % SZS status Started for theBenchmark.p
% 1.56/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.28
% 1.56/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.56/1.28
% 1.56/1.28 % ------ iProver source info
% 1.56/1.28
% 1.56/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.56/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.56/1.28 % git: non_committed_changes: false
% 1.56/1.28
% 1.56/1.28 % ------ Parsing...% successful
% 1.56/1.28
% 1.56/1.28
% 1.56/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.56/1.28
% 1.56/1.28 % ------ Preprocessing...%
% 1.56/1.28
% 1.56/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.28
% 1.56/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/1.28
% 1.56/1.28
%------------------------------------------------------------------------------