%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 3.57s 1.28s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 1 def)
% Number of atoms : 21 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ little_set(X0)
| member(X0,non_ordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair2) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f171,axiom,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).
fof(f172,negated_conjecture,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).
fof(f205,plain,
~ member(a,non_ordered_pair(a,a)),
inference(definition_unfolding,[],[f172,f9]) ).
fof(f206,plain,
! [X2,X1] :
( ~ little_set(X1)
| member(X1,non_ordered_pair(X1,X2)) ),
inference(equality_resolution,[],[f6]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( member(X0,non_ordered_pair(X0,X1))
| ~ little_set(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_343,plain,
little_set(a),
inference(cnf_transformation,[],[f171]) ).
tcf(c_344,negated_conjecture,
~ member(a,non_ordered_pair(a,a)),
inference(cnf_transformation,[],[f205]) ).
tcf(c_9495,definition,
iPr_def_10 = non_ordered_pair(a,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9496,negated_conjecture,
~ member(a,iPr_def_10),
inference(demodulation,[status(thm)],[c_344,c_9495]) ).
tcf(c_11202,plain,
( member(a,iPr_def_10)
| ~ little_set(a) ),
inference(superposition,[status(thm)],[c_9495,c_205]) ).
tcf(c_11204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11202,c_9496,c_343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 09:15:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 3.57/1.28 % SZS status Started for theBenchmark.p
% 3.57/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.28
% 3.57/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.57/1.28
% 3.57/1.28 % ------ iProver source info
% 3.57/1.28
% 3.57/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.57/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.57/1.28 % git: non_committed_changes: false
% 3.57/1.28
% 3.57/1.28 % ------ Parsing...% successful
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.57/1.28
% 3.57/1.28 % ------ 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: 1 0s sf_e pe_s pe_e %
% 3.57/1.28
% 3.57/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.57/1.28
% 3.57/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.57/1.28 % ------ Proving...
% 3.57/1.28 % ------ Problem Properties
% 3.57/1.28
% 3.57/1.28 %
% 3.57/1.28 % clauses 140
% 3.57/1.28 % conjectures 1
% 3.57/1.28 % EPR 23
% 3.57/1.28 % Horn 121
% 3.57/1.28 % unary 8
% 3.57/1.28 % binary 91
% 3.57/1.28 % lits 346
% 3.57/1.28 % lits eq 36
% 3.57/1.28 % fd_pure 0
% 3.57/1.28 % fd_pseudo 0
% 3.57/1.28 % fd_cond 4
% 3.57/1.28 % fd_pseudo_cond 10
% 3.57/1.28 % AC symbols 0
% 3.57/1.28
% 3.57/1.28 % ------ Schedule dynamic 5 is on
% 3.57/1.28
% 3.57/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 % ------
% 3.57/1.28 % Current options:
% 3.57/1.28 % ------
% 3.57/1.28
% 3.57/1.28
% 3.57/1.28 %
% 3.57/1.28
% 3.57/1.28 % ------ Proving...
% 3.57/1.28 %
% 3.57/1.28
% 3.57/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.28
% 3.57/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.28
% 3.57/1.28
%------------------------------------------------------------------------------