%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 02:48:53 PM UTC 2026
% Result : Theorem 1.56s 6.29s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 36 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 5 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 13 !; 2 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,conjecture,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_zfmisc_1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f8,plain,
? [X0,X1] :
( subset(singleton(X0),singleton(X1))
& X0 != X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
( subset(singleton(sK2),singleton(sK3))
& sK2 != sK3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f8]) ).
fof(f16,plain,
subset(singleton(sK2),singleton(sK3)),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_52,negated_conjecture,
sK2 != sK3,
inference(cnf_transformation,[],[f17]) ).
tcf(c_53,negated_conjecture,
subset(singleton(sK2),singleton(sK3)),
inference(cnf_transformation,[],[f16]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subset(singleton(X0),singleton(X1)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_150,definition,
iPr_def_10 = singleton(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_151,definition,
iPr_def_11 = singleton(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_152,negated_conjecture,
subset(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_53,c_151,c_150]) ).
tcf(c_153,negated_conjecture,
sK2 != sK3,
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_239,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ subset(iPr_def_10,singleton(X0)) ),
inference(superposition,[status(thm)],[c_150,c_54]) ).
tcf(c_258,plain,
( ( sK2 = sK3 )
| ~ subset(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_151,c_239]) ).
tcf(c_259,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_258,c_153,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n015.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 12:23:02 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 1.56/6.29 % SZS status Started for theBenchmark.p
% 1.56/6.29 % SZS status Theorem for theBenchmark.p
% 1.56/6.29
% 1.56/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.56/6.29
% 1.56/6.29 % ------ iProver source info
% 1.56/6.29
% 1.56/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.56/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.56/6.29 % git: non_committed_changes: false
% 1.56/6.29
% 1.56/6.29 % ------ Parsing...
% 1.56/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.56/6.29
% 1.56/6.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.56/6.29
% 1.56/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.56/6.29
% 1.56/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.56/6.29 % ------ Proving...
% 1.56/6.29 % ------ Problem Properties
% 1.56/6.29
% 1.56/6.29 %
% 1.56/6.29 % clauses 7
% 1.56/6.29 % conjectures 2
% 1.56/6.29 % EPR 4
% 1.56/6.29 % Horn 7
% 1.56/6.29 % unary 6
% 1.56/6.29 % binary 1
% 1.56/6.29 % lits 8
% 1.56/6.29 % lits eq 5
% 1.56/6.29 % fd_pure 0
% 1.56/6.29 % fd_pseudo 0
% 1.56/6.29 % fd_cond 0
% 1.56/6.29 % fd_pseudo_cond 1
% 1.56/6.29 % AC symbols 0
% 1.56/6.29
% 1.56/6.29 % ------ Schedule dynamic 5 is on
% 1.56/6.29
% 1.56/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.56/6.29
% 1.56/6.29
% 1.56/6.29 % ------
% 1.56/6.29 % Current options:
% 1.56/6.29 % ------
% 1.56/6.29
% 1.56/6.29
% 1.56/6.29 %
% 1.56/6.29
% 1.56/6.29 % ------ Proving...
% 1.56/6.29 %
% 1.56/6.29
% 1.56/6.29 % SZS status Theorem for theBenchmark.p
% 1.56/6.29
% 1.56/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/6.29
% 1.56/6.29
%------------------------------------------------------------------------------