%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET025-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 02:46:09 PM UTC 2026
% Result : Unsatisfiable 1.64s 1.49s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 3 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 : 3 ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
fof(f172,negated_conjecture,
~ little_set(ordered_pair(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).
fof(f174,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f206,plain,
~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
inference(definition_unfolding,[],[f172,f174]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] : little_set(non_ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_344,negated_conjecture,
~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
inference(cnf_transformation,[],[f206]) ).
tcf(c_478,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_344,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.57 % Computer : n015.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Thu Sep 24 09:19:12 UTC 2026
% 0.08/0.58 % CPUTime :
% 0.08/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.61 Running first-order theorem proving
% 0.08/0.62 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.63
% 0.08/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.63
% 0.08/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 1.64/1.49 % SZS status Started for theBenchmark.p
% 1.64/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.49
% 1.64/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.64/1.49
% 1.64/1.49 % ------ iProver source info
% 1.64/1.49
% 1.64/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 1.64/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.64/1.49 % git: non_committed_changes: false
% 1.64/1.49
% 1.64/1.49 % ------ Parsing...% successful
% 1.64/1.49
% 1.64/1.49
% 1.64/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.64/1.49
% 1.64/1.49 % ------ Preprocessing...%
% 1.64/1.49
% 1.64/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 1.64/1.49
% 1.64/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.49
% 1.64/1.49
%------------------------------------------------------------------------------