%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN064+1 : TPTP v9.3.1. Released v2.0.0.
% 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 03:39:03 PM UTC 2026
% Result : Theorem 0.64s 1.06s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 16 !; 6 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
( big_p(X0,X1)
=> ! [X2,X3] : big_p(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel35) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
( big_p(X0,X1)
=> ! [X2,X3] : big_p(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0,X1] :
( big_p(X0,X1)
& ? [X2,X3] : ~ big_p(X2,X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
( big_p(X0,X1)
& ~ big_p(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0),skolemize(X3,sK1)],[f3]) ).
fof(f5,plain,
! [X0,X1] : big_p(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
~ big_p(sK0,sK1),
inference(cnf_transformation,[],[f4]) ).
tcf(c_49,negated_conjecture,
~ big_p(sK0,sK1),
inference(cnf_transformation,[],[f6]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i] : big_p(X0,X1),
inference(cnf_transformation,[],[f5]) ).
tcf(c_52,negated_conjecture,
! [X0_iProver_big_p_1: iProver_big_p_1,X0_iProver_big_p_2: iProver_big_p_2] : big_p(X0_iProver_big_p_1,X0_iProver_big_p_2),
inference(subtyping,[status(esa)],[c_50]) ).
tcf(c_55,negated_conjecture,
! [X0_iProver_big_p_1: iProver_big_p_1,X0_iProver_big_p_2: iProver_big_p_2] : big_p(X0_iProver_big_p_1,X0_iProver_big_p_2),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_56,plain,
big_p(sK0,sK1),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_57,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN064+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 00:00:35 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.32
% 0.04/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.32
% 0.04/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.64/1.06 % SZS status Started for theBenchmark.p
% 0.64/1.06 % SZS status Theorem for theBenchmark.p
% 0.64/1.06
% 0.64/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.64/1.06
% 0.64/1.06 % ------ iProver source info
% 0.64/1.06
% 0.64/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.64/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.64/1.06 % git: non_committed_changes: false
% 0.64/1.06
% 0.64/1.06 % ------ Parsing...
% 0.64/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.64/1.06 %
% 0.64/1.06
% 0.64/1.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 0.64/1.06
% 0.64/1.06 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.64/1.06 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.64/1.06 % ------ Proving...
% 0.64/1.06 % ------ Problem Properties
% 0.64/1.06
% 0.64/1.06 %
% 0.64/1.06 % clauses 2
% 0.64/1.06 % conjectures 2
% 0.64/1.06 % EPR 2
% 0.64/1.06 % Horn 2
% 0.64/1.06 % unary 2
% 0.64/1.06 % binary 0
% 0.64/1.06 % lits 2
% 0.64/1.06 % lits eq 0
% 0.64/1.06 % fd_pure 0
% 0.64/1.06 % fd_pseudo 0
% 0.64/1.06 % fd_cond 0
% 0.64/1.06 % fd_pseudo_cond 0
% 0.64/1.06 % AC symbols 0
% 0.64/1.06
% 0.64/1.06 % ------ Schedule EPR Horn non eq is on
% 0.64/1.06
% 0.64/1.06 % ------ no equalities: superposition off
% 0.64/1.06
% 0.64/1.06 % ------ Option_epr_horn Time Limit: Unbounded
% 0.64/1.06
% 0.64/1.06
% 0.64/1.06 % ------
% 0.64/1.06 % Current options:
% 0.64/1.06 % ------
% 0.64/1.06
% 0.64/1.06
% 0.64/1.06 %
% 0.64/1.06
% 0.64/1.06 % ------ Proving...
% 0.64/1.06 %
% 0.64/1.06
% 0.64/1.06 % SZS status Theorem for theBenchmark.p
% 0.64/1.06
% 0.64/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.64/1.06
% 0.64/1.06
%------------------------------------------------------------------------------