%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 : Theorem 1.73s 6.30s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 17 unt; 2 def)
% Number of atoms : 32 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 11 ( 0 sgn 10 !; 1 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f48,conjecture,
! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f66,plain,
? [X0] :
( singleton(member_of(X0)) = X0
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f49]) ).
fof(f109,plain,
( sK6 = singleton(member_of(sK6))
& ~ member(sK6,universal_class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f66]) ).
fof(f121,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f201,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f109]) ).
fof(f202,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f109]) ).
fof(f243,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f201,f122]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f121]) ).
tcf(c_132,negated_conjecture,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f202]) ).
tcf(c_133,negated_conjecture,
unordered_pair(member_of(sK6),member_of(sK6)) = sK6,
inference(cnf_transformation,[],[f243]) ).
tcf(c_1631,definition,
iPr_def_10 = member_of(sK6),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1632,definition,
iPr_def_11 = unordered_pair(iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1633,negated_conjecture,
iPr_def_11 = sK6,
inference(demodulation,[status(thm)],[c_133,c_1631,c_1632]) ).
tcf(c_1634,negated_conjecture,
~ member(sK6,universal_class),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_2490,plain,
~ member(iPr_def_11,universal_class),
inference(light_normalisation,[status(thm)],[c_1634,c_1633]) ).
tcf(c_2492,plain,
member(iPr_def_11,universal_class),
inference(superposition,[status(thm)],[c_1632,c_60]) ).
tcf(c_2493,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2492,c_2490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 09:50:12 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.73/6.30 % SZS status Started for theBenchmark.p
% 1.73/6.30 % SZS status Theorem for theBenchmark.p
% 1.73/6.30
% 1.73/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/6.30
% 1.73/6.30 % ------ iProver source info
% 1.73/6.30
% 1.73/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/6.30 % git: non_committed_changes: false
% 1.73/6.30
% 1.73/6.30 % ------ Parsing...
% 1.73/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.73/6.30
% 1.73/6.30 % ------ 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: 4 0s sf_e pe_s pe_e %
% 1.73/6.30
% 1.73/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.73/6.30
% 1.73/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.73/6.30 % ------ Proving...
% 1.73/6.30 % ------ Problem Properties
% 1.73/6.30
% 1.73/6.30 %
% 1.73/6.30 % clauses 82
% 1.73/6.30 % conjectures 2
% 1.73/6.30 % EPR 9
% 1.73/6.30 % Horn 72
% 1.73/6.30 % unary 18
% 1.73/6.30 % binary 43
% 1.73/6.30 % lits 168
% 1.73/6.30 % lits eq 21
% 1.73/6.30 % fd_pure 0
% 1.73/6.30 % fd_pseudo 0
% 1.73/6.30 % fd_cond 4
% 1.73/6.30 % fd_pseudo_cond 3
% 1.73/6.30 % AC symbols 0
% 1.73/6.30
% 1.73/6.30 % ------ Schedule dynamic 5 is on
% 1.73/6.30
% 1.73/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.73/6.30
% 1.73/6.30
% 1.73/6.30 % ------
% 1.73/6.30 % Current options:
% 1.73/6.30 % ------
% 1.73/6.30
% 1.73/6.30
% 1.73/6.30 %
% 1.73/6.30
% 1.73/6.30 % ------ Proving...
% 1.73/6.30 %
% 1.73/6.30
% 1.73/6.30 % SZS status Theorem for theBenchmark.p
% 1.73/6.30
% 1.73/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.73/6.30
% 1.73/6.30
%------------------------------------------------------------------------------