%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET024-7 : 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 : n012.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 02:46:08 PM UTC 2026
% Result : Unsatisfiable 0.58s 0.96s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 10 unt; 1 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 4 ( 2 usr; 2 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f134,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_in_its_singleton_1) ).
fof(f135,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_in_its_singleton_2) ).
fof(f197,plain,
~ member(x,unordered_pair(x,x)),
inference(definition_unfolding,[],[f135,f12]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_277,negated_conjecture,
member(x,universal_class),
inference(cnf_transformation,[],[f134]) ).
tcf(c_278,negated_conjecture,
~ member(x,unordered_pair(x,x)),
inference(cnf_transformation,[],[f197]) ).
tcf(c_3194,definition,
iPr_def_10 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3195,negated_conjecture,
~ member(x,iPr_def_10),
inference(demodulation,[status(thm)],[c_278,c_3194]) ).
tcf(c_3196,negated_conjecture,
member(x,universal_class),
inference(demodulation,[status(thm)],[c_277]) ).
tcf(c_4247,plain,
( member(x,iPr_def_10)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_3194,c_180]) ).
tcf(c_4248,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4247,c_3195,c_3196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET024-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 09:15:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.58/0.96 % SZS status Started for theBenchmark.p
% 0.58/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/0.96
% 0.58/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.58/0.96
% 0.58/0.96 % ------ iProver source info
% 0.58/0.96
% 0.58/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.58/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.58/0.96 % git: non_committed_changes: false
% 0.58/0.96
% 0.58/0.96 % ------ Parsing...% successful
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.58/0.96
% 0.58/0.96 % ------ 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 %
% 0.58/0.96
% 0.58/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.58/0.96
% 0.58/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.58/0.96 % ------ Proving...
% 0.58/0.96 % ------ Problem Properties
% 0.58/0.96
% 0.58/0.96 %
% 0.58/0.96 % clauses 97
% 0.58/0.96 % conjectures 2
% 0.58/0.96 % EPR 19
% 0.58/0.96 % Horn 83
% 0.58/0.96 % unary 26
% 0.58/0.96 % binary 43
% 0.58/0.96 % lits 202
% 0.58/0.96 % lits eq 37
% 0.58/0.96 % fd_pure 0
% 0.58/0.96 % fd_pseudo 0
% 0.58/0.96 % fd_cond 5
% 0.58/0.96 % fd_pseudo_cond 8
% 0.58/0.96 % AC symbols 0
% 0.58/0.96
% 0.58/0.96 % ------ Schedule dynamic 5 is on
% 0.58/0.96
% 0.58/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 % ------
% 0.58/0.96 % Current options:
% 0.58/0.96 % ------
% 0.58/0.96
% 0.58/0.96
% 0.58/0.96 %
% 0.58/0.96
% 0.58/0.96 % ------ Proving...
% 0.58/0.96 %
% 0.58/0.96
% 0.58/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/0.96
% 0.58/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.58/0.96
% 0.58/0.96
%------------------------------------------------------------------------------