%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET082-7 : 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 : n019.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 02:46:30 PM UTC 2026
% Result : Unsatisfiable 3.86s 1.34s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f125,axiom,
! [X0,X1] :
( member(X1,universal_class)
| member(X0,universal_class)
| unordered_pair(X0,X1) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_unordered_pair) ).
fof(f138,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
fof(f139,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
fof(f140,plain,
null_class != singleton(x),
inference(reorient_equations,[],[f139]) ).
fof(f142,plain,
null_class != unordered_pair(x,x),
inference(definition_unfolding,[],[f140,f12]) ).
tcf(c_176,negated_conjecture,
~ member(x,universal_class),
inference(cnf_transformation,[],[f138]) ).
tcf(c_177,negated_conjecture,
unordered_pair(x,x) != null_class,
inference(cnf_transformation,[],[f142]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( member(X1,universal_class)
| member(X0,universal_class)
| ( unordered_pair(X0,X1) = null_class ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_1533,plain,
( member(x,universal_class)
| ( unordered_pair(x,x) = null_class ) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_1534,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1533,c_177,c_176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET082-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 % Computer : n019.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Thu Sep 24 09:40:20 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 0.14/0.46
% 0.14/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.46
% 0.14/0.46 % Detected problem language: tptp
% 0.18/0.47 % Proving...
% 3.86/1.34 % SZS status Started for theBenchmark.p
% 3.86/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.34
% 3.86/1.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.86/1.34
% 3.86/1.34 % ------ iProver source info
% 3.86/1.34
% 3.86/1.34 % git: date: 2026-07-19 20:42:38 +0200
% 3.86/1.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.86/1.34 % git: non_committed_changes: false
% 3.86/1.34
% 3.86/1.34 % ------ Parsing...% successful
% 3.86/1.34
% 3.86/1.34
% 3.86/1.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.86/1.34
% 3.86/1.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.86/1.34
% 3.86/1.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.86/1.34
% 3.86/1.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.86/1.34 % ------ Proving...
% 3.86/1.34 % ------ Problem Properties
% 3.86/1.34
% 3.86/1.34 %
% 3.86/1.34 % clauses 37
% 3.86/1.34 % conjectures 2
% 3.86/1.34 % EPR 10
% 3.86/1.34 % Horn 33
% 3.86/1.34 % unary 13
% 3.86/1.34 % binary 15
% 3.86/1.34 % lits 70
% 3.86/1.34 % lits eq 17
% 3.86/1.34 % fd_pure 0
% 3.86/1.34 % fd_pseudo 0
% 3.86/1.34 % fd_cond 1
% 3.86/1.34 % fd_pseudo_cond 5
% 3.86/1.34 % AC symbols 0
% 3.86/1.34
% 3.86/1.34 % ------ Schedule dynamic 5 is on
% 3.86/1.34
% 3.86/1.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.86/1.34
% 3.86/1.34
% 3.86/1.34 % ------
% 3.86/1.34 % Current options:
% 3.86/1.34 % ------
% 3.86/1.34
% 3.86/1.34
% 3.86/1.34 %
% 3.86/1.34
% 3.86/1.34 % ------ Proving...
% 3.86/1.34 %
% 3.86/1.34
% 3.86/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 3.86/1.34
% 3.86/1.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.86/1.34
% 3.86/1.34
%------------------------------------------------------------------------------