%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET079-7 : 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 : n014.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 02:46:29 PM UTC 2026
% Result : Unsatisfiable 3.32s 11.30s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 14 unt; 1 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f135,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
fof(f136,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
fof(f137,plain,
null_class = singleton(x),
inference(reorient_equations,[],[f136]) ).
fof(f200,plain,
null_class = unordered_pair(x,x),
inference(definition_unfolding,[],[f137,f12]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_259,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f113]) ).
tcf(c_279,negated_conjecture,
member(x,universal_class),
inference(cnf_transformation,[],[f135]) ).
tcf(c_280,negated_conjecture,
unordered_pair(x,x) = null_class,
inference(cnf_transformation,[],[f200]) ).
tcf(c_3201,definition,
iPr_def_10 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3202,negated_conjecture,
iPr_def_10 = null_class,
inference(demodulation,[status(thm)],[c_280,c_3201]) ).
tcf(c_3203,negated_conjecture,
member(x,universal_class),
inference(demodulation,[status(thm)],[c_279]) ).
tcf(c_4179,plain,
! [X0: $i] : ~ member(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_259,c_3202]) ).
tcf(c_4256,plain,
( member(x,iPr_def_10)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm)],[c_3201,c_181]) ).
tcf(c_4257,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4256,c_4179,c_3203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n014.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Thu Sep 24 09:38:44 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 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
% 0.14/10.44
% 0.14/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.44
% 0.14/10.44 % Detected problem language: tptp
% 0.14/10.45 % Proving...
% 3.32/11.30 % SZS status Started for theBenchmark.p
% 3.32/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/11.30
% 3.32/11.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/11.30
% 3.32/11.30 % ------ iProver source info
% 3.32/11.30
% 3.32/11.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.32/11.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/11.30 % git: non_committed_changes: false
% 3.32/11.30
% 3.32/11.30 % ------ Parsing...% successful
% 3.32/11.30
% 3.32/11.30
% 3.32/11.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.32/11.30
% 3.32/11.30 % ------ 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: 2 0s sf_e pe_s pe_e %
% 3.32/11.30
% 3.32/11.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.32/11.30
% 3.32/11.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.32/11.30 % ------ Proving...
% 3.32/11.30 % ------ Problem Properties
% 3.32/11.30
% 3.32/11.30 %
% 3.32/11.30 % clauses 97
% 3.32/11.30 % conjectures 2
% 3.32/11.30 % EPR 19
% 3.32/11.30 % Horn 83
% 3.32/11.30 % unary 26
% 3.32/11.30 % binary 43
% 3.32/11.30 % lits 202
% 3.32/11.30 % lits eq 38
% 3.32/11.30 % fd_pure 0
% 3.32/11.30 % fd_pseudo 0
% 3.32/11.30 % fd_cond 5
% 3.32/11.30 % fd_pseudo_cond 8
% 3.32/11.30 % AC symbols 0
% 3.32/11.30
% 3.32/11.30 % ------ Schedule dynamic 5 is on
% 3.32/11.30
% 3.32/11.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.32/11.30
% 3.32/11.30
% 3.32/11.30 % ------
% 3.32/11.30 % Current options:
% 3.32/11.30 % ------
% 3.32/11.30
% 3.32/11.30
% 3.32/11.30 %
% 3.32/11.30
% 3.32/11.30 % ------ Proving...
% 3.32/11.30 %
% 3.32/11.30
% 3.32/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.32/11.30
% 3.32/11.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/11.30
% 3.32/11.30
%------------------------------------------------------------------------------