%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU295+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 : n005.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 0.82s 11.28s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 27 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 4 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 18 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f130,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(f261,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).
fof(f262,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_intersection2(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f261]) ).
fof(f345,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f528,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_intersection2(X0,X1)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f656,plain,
? [X0,X1] :
( finite(X0)
& ~ finite(set_intersection2(X0,X1)) ),
inference(ennf_transformation,[],[f262]) ).
fof(f1188,plain,
( finite(sK255)
& ~ finite(set_intersection2(sK255,sK256)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK255,sK256]),skolemize(X0,sK255),skolemize(X1,sK256)],[f656]) ).
fof(f1597,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f528]) ).
fof(f2019,plain,
finite(sK255),
inference(cnf_transformation,[],[f1188]) ).
fof(f2020,plain,
~ finite(set_intersection2(sK255,sK256)),
inference(cnf_transformation,[],[f1188]) ).
fof(f2155,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f345]) ).
fof(f2369,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,set_difference(X0,X1))) ),
inference(definition_unfolding,[],[f1597,f2155]) ).
fof(f2487,plain,
~ finite(set_difference(sK255,set_difference(sK255,sK256))),
inference(definition_unfolding,[],[f2020,f2155]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( finite(set_difference(X0,set_difference(X0,X1)))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f2369]) ).
tcf(c_809,negated_conjecture,
~ finite(set_difference(sK255,set_difference(sK255,sK256))),
inference(cnf_transformation,[],[f2487]) ).
tcf(c_810,negated_conjecture,
finite(sK255),
inference(cnf_transformation,[],[f2019]) ).
tcf(c_1170,plain,
~ finite(sK255),
inference(superposition,[status(thm)],[c_387,c_809]) ).
tcf(c_1171,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_810,c_1170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/10.37 % Computer : n005.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Thu Sep 24 13:34:43 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.41 Running first-order theorem proving
% 0.14/10.41 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
% 0.14/10.42
% 0.14/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 0.82/11.28 % SZS status Started for theBenchmark.p
% 0.82/11.28 % SZS status Theorem for theBenchmark.p
% 0.82/11.28
% 0.82/11.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.82/11.28
% 0.82/11.28 % ------ iProver source info
% 0.82/11.28
% 0.82/11.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.82/11.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.82/11.28 % git: non_committed_changes: false
% 0.82/11.28
% 0.82/11.28 % ------ Parsing...
% 0.82/11.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.82/11.28 % ------ Proving...
% 0.82/11.28 % ------ Problem Properties
% 0.82/11.28
% 0.82/11.28 %
% 0.82/11.28 % clauses 993
% 0.82/11.28 % conjectures 2
% 0.82/11.28 % EPR 153
% 0.82/11.28 % Horn 762
% 0.82/11.28 % unary 144
% 0.82/11.28 % binary 294
% 0.82/11.28 % lits 2914
% 0.82/11.28 % lits eq 419
% 0.82/11.28 % fd_pure 0
% 0.82/11.28 % fd_pseudo 0
% 0.82/11.28 % fd_cond 31
% 0.82/11.28 % fd_pseudo_cond 107
% 0.82/11.28 % AC symbols 0
% 0.82/11.28
% 0.82/11.28 % ------ Input Options Time Limit: Unbounded
% 0.82/11.28
% 0.82/11.28
% 0.82/11.28 % ------
% 0.82/11.28 % Current options:
% 0.82/11.28 % ------
% 0.82/11.28
% 0.82/11.28
% 0.82/11.28 %
% 0.82/11.28
% 0.82/11.28 % ------ Proving...
% 0.82/11.28 %
% 0.82/11.28
% 0.82/11.28 % SZS status Theorem for theBenchmark.p
% 0.82/11.28
% 0.82/11.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/11.28
% 0.82/11.28
%------------------------------------------------------------------------------