%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:55:41 PM UTC 2026
% Result : Theorem 2.51s 1.28s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 1 def)
% Number of atoms : 31 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 4 |; 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; 2 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(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(f92,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f93,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f142,plain,
? [X0,X1] :
( in(X0,X1)
& ~ subset(X0,union(X1)) ),
inference(ennf_transformation,[],[f93]) ).
fof(f201,plain,
( in(sK21,sK22)
& ~ subset(sK21,union(sK22)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f142]) ).
fof(f284,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f346,plain,
in(sK21,sK22),
inference(cnf_transformation,[],[f201]) ).
fof(f347,plain,
~ subset(sK21,union(sK22)),
inference(cnf_transformation,[],[f201]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_190,negated_conjecture,
~ subset(sK21,union(sK22)),
inference(cnf_transformation,[],[f347]) ).
tcf(c_191,negated_conjecture,
in(sK21,sK22),
inference(cnf_transformation,[],[f346]) ).
tcf(c_3186,definition,
iPr_def_10 = union(sK22),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3187,negated_conjecture,
in(sK21,sK22),
inference(demodulation,[status(thm)],[c_191]) ).
tcf(c_3188,negated_conjecture,
~ subset(sK21,iPr_def_10),
inference(demodulation,[status(thm)],[c_190,c_3186]) ).
tcf(c_5455,plain,
! [X0: $i] :
( subset(X0,iPr_def_10)
| ~ in(X0,sK22) ),
inference(superposition,[status(thm)],[c_3186,c_130]) ).
tcf(c_5469,plain,
subset(sK21,iPr_def_10),
inference(superposition,[status(thm)],[c_3187,c_5455]) ).
tcf(c_5470,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5469,c_3188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU163+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 13:00:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 2.51/1.28 % SZS status Started for theBenchmark.p
% 2.51/1.28 % SZS status Theorem for theBenchmark.p
% 2.51/1.28
% 2.51/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.51/1.28
% 2.51/1.28 % ------ iProver source info
% 2.51/1.28
% 2.51/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.51/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.51/1.28 % git: non_committed_changes: false
% 2.51/1.28
% 2.51/1.28 % ------ Parsing...
% 2.51/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.51/1.28
% 2.51/1.28 % ------ Preprocessing... sup_sim: 5 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 %
% 2.51/1.28
% 2.51/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.51/1.28
% 2.51/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.51/1.28 % ------ Proving...
% 2.51/1.28 % ------ Problem Properties
% 2.51/1.28
% 2.51/1.28 %
% 2.51/1.28 % clauses 126
% 2.51/1.28 % conjectures 2
% 2.51/1.28 % EPR 23
% 2.51/1.28 % Horn 97
% 2.51/1.28 % unary 27
% 2.51/1.28 % binary 55
% 2.51/1.28 % lits 276
% 2.51/1.28 % lits eq 81
% 2.51/1.28 % fd_pure 0
% 2.51/1.28 % fd_pseudo 0
% 2.51/1.28 % fd_cond 3
% 2.51/1.28 % fd_pseudo_cond 35
% 2.51/1.28 % AC symbols 0
% 2.51/1.28
% 2.51/1.28 % ------ Schedule dynamic 5 is on
% 2.51/1.28
% 2.51/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.51/1.28
% 2.51/1.28
% 2.51/1.28 % ------
% 2.51/1.28 % Current options:
% 2.51/1.28 % ------
% 2.51/1.28
% 2.51/1.28
% 2.51/1.28 %
% 2.51/1.28
% 2.51/1.28 % ------ Proving...
% 2.51/1.28 %
% 2.51/1.28
% 2.51/1.28 % SZS status Theorem for theBenchmark.p
% 2.51/1.28
% 2.51/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.51/1.28
% 2.51/1.28
%------------------------------------------------------------------------------