%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET091+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 02:46:32 PM UTC 2026
% Result : Theorem 3.24s 1.26s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 12 unt; 1 def)
% Number of atoms : 64 ( 45 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 28 ~; 17 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 22 !; 6 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f46,axiom,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_universal_self) ).
fof(f47,axiom,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_self) ).
fof(f48,conjecture,
! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,universal_class) ) )
=> member_of(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_when_not_a_singleton) ).
fof(f49,negated_conjecture,
~ ! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,universal_class) ) )
=> member_of(X0) = X1 ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f66,plain,
? [X0,X1] :
( X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) )
& member_of(X0) != X1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f67,plain,
? [X0,X1] :
( X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) )
& member_of(X0) != X1 ),
inference(flattening,[],[f66]) ).
fof(f110,plain,
( sK6 = sK7
& ! [X2] :
( singleton(X2) != sK6
| ~ member(X2,universal_class) )
& sK7 != member_of(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f67]) ).
fof(f123,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f200,plain,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
inference(cnf_transformation,[],[f46]) ).
fof(f201,plain,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f202,plain,
sK6 = sK7,
inference(cnf_transformation,[],[f110]) ).
fof(f203,plain,
! [X2] :
( singleton(X2) != sK6
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f110]) ).
fof(f204,plain,
sK7 != member_of(sK6),
inference(cnf_transformation,[],[f110]) ).
fof(f244,plain,
! [X0] :
( member_of(X0) = X0
| unordered_pair(member_of(X0),member_of(X0)) = X0 ),
inference(definition_unfolding,[],[f201,f123]) ).
fof(f245,plain,
sK7 != member_of(sK7),
inference(definition_unfolding,[],[f204,f202]) ).
fof(f246,plain,
! [X2] :
( sK7 != unordered_pair(X2,X2)
| ~ member(X2,universal_class) ),
inference(definition_unfolding,[],[f203,f123,f202]) ).
tcf(c_130,plain,
! [X0: $i] :
( member(member_of(X0),universal_class)
| ( member_of(X0) = X0 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_131,plain,
! [X0: $i] :
( ( member_of(X0) = X0 )
| ( unordered_pair(member_of(X0),member_of(X0)) = X0 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_132,negated_conjecture,
member_of(sK7) != sK7,
inference(cnf_transformation,[],[f245]) ).
tcf(c_133,negated_conjecture,
! [X0: $i] :
( ~ member(X0,universal_class)
| ( unordered_pair(X0,X0) != sK7 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_1644,definition,
iPr_def_10 = member_of(sK7),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1645,negated_conjecture,
! [X0: $i] :
( ~ member(X0,universal_class)
| ( unordered_pair(X0,X0) != sK7 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_1646,negated_conjecture,
iPr_def_10 != sK7,
inference(demodulation,[status(thm)],[c_132,c_1644]) ).
tcf(c_3367,plain,
! [X0: $i] :
( ( member_of(X0) = X0 )
| ~ member(member_of(X0),universal_class)
| ( X0 != sK7 ) ),
inference(superposition,[status(thm)],[c_131,c_1645]) ).
tcf(c_3502,plain,
! [X0: $i] :
( ( member_of(X0) = X0 )
| ( X0 != sK7 ) ),
inference(global_subsumption_just,[status(thm)],[c_3367,c_130,c_3367]) ).
tcf(c_3509,plain,
member_of(sK7) = sK7,
inference(equality_resolution,[status(thm)],[c_3502]) ).
tcf(c_3510,plain,
sK7 = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_3509,c_1644]) ).
tcf(c_3514,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_1646,c_3510]) ).
tcf(c_3515,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 09:49:08 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.24/1.26 % SZS status Started for theBenchmark.p
% 3.24/1.26 % SZS status Theorem for theBenchmark.p
% 3.24/1.26
% 3.24/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.24/1.26
% 3.24/1.26 % ------ iProver source info
% 3.24/1.26
% 3.24/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.24/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.24/1.26 % git: non_committed_changes: false
% 3.24/1.26
% 3.24/1.26 % ------ Parsing...
% 3.24/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.24/1.26
% 3.24/1.26 % ------ 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 %
% 3.24/1.26
% 3.24/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.24/1.26
% 3.24/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.24/1.26 % ------ Proving...
% 3.24/1.26 % ------ Problem Properties
% 3.24/1.26
% 3.24/1.26 %
% 3.24/1.26 % clauses 81
% 3.24/1.26 % conjectures 2
% 3.24/1.26 % EPR 8
% 3.24/1.26 % Horn 71
% 3.24/1.26 % unary 16
% 3.24/1.26 % binary 44
% 3.24/1.26 % lits 168
% 3.24/1.26 % lits eq 21
% 3.24/1.26 % fd_pure 0
% 3.24/1.26 % fd_pseudo 0
% 3.24/1.26 % fd_cond 4
% 3.24/1.26 % fd_pseudo_cond 3
% 3.24/1.26 % AC symbols 0
% 3.24/1.26
% 3.24/1.26 % ------ Schedule dynamic 5 is on
% 3.24/1.26
% 3.24/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.24/1.26
% 3.24/1.26
% 3.24/1.26 % ------
% 3.24/1.26 % Current options:
% 3.24/1.26 % ------
% 3.24/1.26
% 3.24/1.26
% 3.24/1.26 %
% 3.24/1.26
% 3.24/1.26 % ------ Proving...
% 3.24/1.26 %
% 3.24/1.26
% 3.24/1.26 % SZS status Theorem for theBenchmark.p
% 3.24/1.26
% 3.24/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.24/1.26
% 3.24/1.26
%------------------------------------------------------------------------------