%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN061+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 03:39:02 PM UTC 2026
% Result : Theorem 0.64s 1.06s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 13 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 10 !; 5 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ ? [X0] :
( ( big_h(X0)
| big_g(X0) )
& big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_1) ).
fof(f2,axiom,
? [X0] :
( big_f(X0)
& big_i(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_2) ).
fof(f3,axiom,
! [X0] :
( ~ big_h(X0)
=> big_j(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_3) ).
fof(f4,conjecture,
? [X0] :
( big_j(X0)
& big_i(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31) ).
fof(f5,negated_conjecture,
~ ? [X0] :
( big_j(X0)
& big_i(X0) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ? [X0] :
( big_h(X0)
& big_f(X0) ),
inference(pure_predicate_removal,[],[f1]) ).
fof(f7,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] :
( big_h(X0)
| big_j(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ big_j(X0)
| ~ big_i(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
( big_f(sK0)
& big_i(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f2]) ).
fof(f11,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
big_f(sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f13,plain,
big_i(sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0] :
( big_h(X0)
| big_j(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( ~ big_j(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
! [X0: $i] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_50,plain,
big_i(sK0),
inference(cnf_transformation,[],[f13]) ).
tcf(c_51,plain,
big_f(sK0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_52,plain,
! [X0: $i] :
( big_j(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( ~ big_j(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_54,plain,
( big_j(sK0)
| big_h(sK0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_55,plain,
( ~ big_j(sK0)
| ~ big_i(sK0) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_56,plain,
( ~ big_h(sK0)
| ~ big_f(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_57,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_54,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN061+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Fri Sep 25 00:00:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % 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_non_horn_non_eq
% 0.64/1.06 %
% 0.64/1.06
% 0.64/1.06 % ------ Preprocessing...%
% 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
% 0.64/1.07
% 0.64/1.07
%------------------------------------------------------------------------------