%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:56:31 PM UTC 2026
% Result : Theorem 0.31s 1.12s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 1 def)
% Number of atoms : 29 ( 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 12 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(f52,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f53,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f103,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_intersection2(X0,X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f110,plain,
? [X0,X1] :
( finite(X0)
& ~ finite(set_intersection2(X0,X1)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f146,plain,
( finite(sK26)
& ~ finite(set_intersection2(sK26,sK27)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f110]) ).
fof(f173,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f262,plain,
finite(sK26),
inference(cnf_transformation,[],[f146]) ).
fof(f263,plain,
~ finite(set_intersection2(sK26,sK27)),
inference(cnf_transformation,[],[f146]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( finite(set_intersection2(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_159,negated_conjecture,
~ finite(set_intersection2(sK26,sK27)),
inference(cnf_transformation,[],[f263]) ).
tcf(c_160,negated_conjecture,
finite(sK26),
inference(cnf_transformation,[],[f262]) ).
tcf(c_1823,definition,
iPr_def_10 = set_intersection2(sK26,sK27),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1824,negated_conjecture,
finite(sK26),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_1825,negated_conjecture,
~ finite(iPr_def_10),
inference(demodulation,[status(thm)],[c_159,c_1823]) ).
tcf(c_2511,plain,
( finite(iPr_def_10)
| ~ finite(sK26) ),
inference(superposition,[status(thm)],[c_1823,c_70]) ).
tcf(c_2513,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2511,c_1825,c_1824]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Thu Sep 24 13:34:52 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 Running first-order theorem proving
% 0.08/0.36 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
% 0.08/0.37
% 0.08/0.37 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.37
% 0.08/0.37 % Detected problem language: tptp
% 0.08/0.38 % Proving...
% 0.31/1.12 % SZS status Started for theBenchmark.p
% 0.31/1.12 % SZS status Theorem for theBenchmark.p
% 0.31/1.12
% 0.31/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.31/1.12
% 0.31/1.12 % ------ iProver source info
% 0.31/1.12
% 0.31/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.31/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.31/1.12 % git: non_committed_changes: false
% 0.31/1.12
% 0.31/1.12 % ------ Parsing...
% 0.31/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.31/1.12
% 0.31/1.12 % ------ Preprocessing... sup_sim: 0 sf_s rm: 70 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 0.31/1.12
% 0.31/1.12 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.31/1.12
% 0.31/1.12 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.31/1.12 % ------ Proving...
% 0.31/1.12 % ------ Problem Properties
% 0.31/1.12
% 0.31/1.12 %
% 0.31/1.12 % clauses 50
% 0.31/1.12 % conjectures 2
% 0.31/1.12 % EPR 29
% 0.31/1.12 % Horn 46
% 0.31/1.12 % unary 31
% 0.31/1.12 % binary 14
% 0.31/1.12 % lits 74
% 0.31/1.12 % lits eq 6
% 0.31/1.12 % fd_pure 0
% 0.31/1.12 % fd_pseudo 0
% 0.31/1.12 % fd_cond 1
% 0.31/1.12 % fd_pseudo_cond 1
% 0.31/1.12 % AC symbols 0
% 0.31/1.12
% 0.31/1.12 % ------ Schedule dynamic 5 is on
% 0.31/1.12
% 0.31/1.12 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.31/1.12
% 0.31/1.12
% 0.31/1.12 % ------
% 0.31/1.12 % Current options:
% 0.31/1.12 % ------
% 0.31/1.12
% 0.31/1.12
% 0.31/1.12 %
% 0.31/1.12
% 0.31/1.12 % ------ Proving...
% 0.31/1.12 %
% 0.31/1.12
% 0.31/1.12 % SZS status Theorem for theBenchmark.p
% 0.31/1.12
% 0.31/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.31/1.12
% 0.31/1.12
%------------------------------------------------------------------------------