%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:46:33 PM UTC 2026
% Result : Unsatisfiable 2.41s 1.28s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 16 unt; 2 def)
% Number of atoms : 23 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 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/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f151,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).
fof(f152,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f151]) ).
fof(f153,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).
fof(f228,plain,
x = unordered_pair(member_of(x),member_of(x)),
inference(definition_unfolding,[],[f152,f12]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_307,negated_conjecture,
unordered_pair(member_of(x),member_of(x)) = x,
inference(cnf_transformation,[],[f228]) ).
tcf(c_308,negated_conjecture,
~ member(x,universal_class),
inference(cnf_transformation,[],[f153]) ).
tcf(c_3519,definition,
iPr_def_10 = member_of(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3520,definition,
iPr_def_11 = unordered_pair(iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3521,negated_conjecture,
~ member(x,universal_class),
inference(demodulation,[status(thm)],[c_308]) ).
tcf(c_3522,negated_conjecture,
iPr_def_11 = x,
inference(demodulation,[status(thm)],[c_307,c_3519,c_3520]) ).
tcf(c_4626,plain,
~ member(iPr_def_11,universal_class),
inference(light_normalisation,[status(thm)],[c_3521,c_3522]) ).
tcf(c_4630,plain,
member(iPr_def_11,universal_class),
inference(superposition,[status(thm)],[c_3520,c_197]) ).
tcf(c_4631,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4630,c_4626]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.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 09:50:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.42
% 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...
% 2.41/1.28 % SZS status Started for theBenchmark.p
% 2.41/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.28
% 2.41/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.41/1.28
% 2.41/1.28 % ------ iProver source info
% 2.41/1.28
% 2.41/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.41/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.41/1.28 % git: non_committed_changes: false
% 2.41/1.28
% 2.41/1.28 % ------ Parsing...% successful
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.41/1.28
% 2.41/1.28 % ------ 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: 2 0s sf_e pe_s pe_e %
% 2.41/1.28
% 2.41/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.41/1.28
% 2.41/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.28 % ------ Proving...
% 2.41/1.28 % ------ Problem Properties
% 2.41/1.28
% 2.41/1.28 %
% 2.41/1.28 % clauses 111
% 2.41/1.28 % conjectures 2
% 2.41/1.28 % EPR 19
% 2.41/1.28 % Horn 91
% 2.41/1.28 % unary 28
% 2.41/1.28 % binary 52
% 2.41/1.28 % lits 232
% 2.41/1.28 % lits eq 56
% 2.41/1.28 % fd_pure 0
% 2.41/1.28 % fd_pseudo 0
% 2.41/1.28 % fd_cond 5
% 2.41/1.28 % fd_pseudo_cond 12
% 2.41/1.28 % AC symbols 0
% 2.41/1.28
% 2.41/1.28 % ------ Schedule dynamic 5 is on
% 2.41/1.28
% 2.41/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 % ------
% 2.41/1.28 % Current options:
% 2.41/1.28 % ------
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 %
% 2.41/1.28
% 2.41/1.28 % ------ Proving...
% 2.41/1.28 %
% 2.41/1.28
% 2.41/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.28
% 2.41/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.28
% 2.41/1.28
%------------------------------------------------------------------------------