%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 : Theorem 1.63s 1.32s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 11 ( 0 sgn 10 !; 1 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f44,conjecture,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
fof(f45,negated_conjecture,
~ ! [X0] : member(singleton(X0),universal_class),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
? [X0] : ~ member(singleton(X0),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f103,plain,
~ member(singleton(sK6),universal_class),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f115,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f191,plain,
~ member(singleton(sK6),universal_class),
inference(cnf_transformation,[],[f103]) ).
fof(f229,plain,
~ member(unordered_pair(sK6,sK6),universal_class),
inference(definition_unfolding,[],[f191,f116]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f115]) ).
tcf(c_128,negated_conjecture,
~ member(unordered_pair(sK6,sK6),universal_class),
inference(cnf_transformation,[],[f229]) ).
tcf(c_203,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 09:39:34 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 1.63/1.32 % SZS status Started for theBenchmark.p
% 1.63/1.32 % SZS status Theorem for theBenchmark.p
% 1.63/1.32
% 1.63/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.32
% 1.63/1.32 % ------ iProver source info
% 1.63/1.32
% 1.63/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.32 % git: non_committed_changes: false
% 1.63/1.32
% 1.63/1.32 % ------ Parsing...
% 1.63/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.32
% 1.63/1.32 % ------ Preprocessing...%
% 1.63/1.32
% 1.63/1.32 % SZS status Theorem for theBenchmark.p
% 1.63/1.32
% 1.63/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.32
% 1.63/1.32
%------------------------------------------------------------------------------