%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU085+1 : 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 : n017.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 02:55:23 PM UTC 2026
% Result : Theorem 2.25s 1.16s
% Output : CNFRefutation 2.25s
% 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(f14,axiom,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_finset_1) ).
fof(f49,conjecture,
! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_finset_1) ).
fof(f50,negated_conjecture,
~ ! [X0,X1] :
( finite(X0)
=> finite(set_difference(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f99,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f106,plain,
? [X0,X1] :
( finite(X0)
& ~ finite(set_difference(X0,X1)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f142,plain,
( finite(sK26)
& ~ finite(set_difference(sK26,sK27)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f106]) ).
fof(f167,plain,
! [X0,X1] :
( ~ finite(X0)
| finite(set_difference(X0,X1)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f255,plain,
finite(sK26),
inference(cnf_transformation,[],[f142]) ).
fof(f256,plain,
~ finite(set_difference(sK26,sK27)),
inference(cnf_transformation,[],[f142]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_156,negated_conjecture,
~ finite(set_difference(sK26,sK27)),
inference(cnf_transformation,[],[f256]) ).
tcf(c_157,negated_conjecture,
finite(sK26),
inference(cnf_transformation,[],[f255]) ).
tcf(c_1788,definition,
iPr_def_10 = set_difference(sK26,sK27),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1789,negated_conjecture,
finite(sK26),
inference(demodulation,[status(thm)],[c_157]) ).
tcf(c_1790,negated_conjecture,
~ finite(iPr_def_10),
inference(demodulation,[status(thm)],[c_156,c_1788]) ).
tcf(c_2433,plain,
( finite(iPr_def_10)
| ~ finite(sK26) ),
inference(superposition,[status(thm)],[c_1788,c_68]) ).
tcf(c_2436,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2433,c_1790,c_1789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU085+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 12:38:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.25/1.16 % SZS status Started for theBenchmark.p
% 2.25/1.16 % SZS status Theorem for theBenchmark.p
% 2.25/1.16
% 2.25/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.25/1.16
% 2.25/1.16 % ------ iProver source info
% 2.25/1.16
% 2.25/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 2.25/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.25/1.16 % git: non_committed_changes: false
% 2.25/1.16
% 2.25/1.16 % ------ Parsing...
% 2.25/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.25/1.16
% 2.25/1.16 % ------ 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 %
% 2.25/1.16
% 2.25/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.25/1.16
% 2.25/1.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.25/1.16 % ------ Proving...
% 2.25/1.16 % ------ Problem Properties
% 2.25/1.16
% 2.25/1.16 %
% 2.25/1.16 % clauses 48
% 2.25/1.16 % conjectures 2
% 2.25/1.16 % EPR 29
% 2.25/1.16 % Horn 44
% 2.25/1.16 % unary 30
% 2.25/1.16 % binary 13
% 2.25/1.16 % lits 71
% 2.25/1.16 % lits eq 5
% 2.25/1.16 % fd_pure 0
% 2.25/1.16 % fd_pseudo 0
% 2.25/1.16 % fd_cond 1
% 2.25/1.16 % fd_pseudo_cond 1
% 2.25/1.16 % AC symbols 0
% 2.25/1.16
% 2.25/1.16 % ------ Schedule dynamic 5 is on
% 2.25/1.16
% 2.25/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.25/1.16
% 2.25/1.16
% 2.25/1.16 % ------
% 2.25/1.16 % Current options:
% 2.25/1.16 % ------
% 2.25/1.16
% 2.25/1.16
% 2.25/1.16 %
% 2.25/1.16
% 2.25/1.16 % ------ Proving...
% 2.25/1.16 %
% 2.25/1.16
% 2.25/1.16 % SZS status Theorem for theBenchmark.p
% 2.25/1.16
% 2.25/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.25/1.16
% 2.25/1.16
%------------------------------------------------------------------------------