%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN055+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 : n004.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 03:39:00 PM UTC 2026
% Result : Theorem 1.23s 1.30s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 11 |; 3 &)
% ( 0 <=>; 3 =>; 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 : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 11 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] : big_p(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_1) ).
fof(f2,axiom,
! [X0] :
( big_f(X0)
=> ( big_r(X0)
& ~ big_g(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_2) ).
fof(f3,axiom,
! [X0] :
( big_p(X0)
=> ( big_f(X0)
& big_g(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_3) ).
fof(f8,plain,
! [X0] :
( big_f(X0)
=> ~ big_g(X0) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f9,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_g(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ big_p(X0)
| ( big_f(X0)
& big_g(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f13,plain,
big_p(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f15,plain,
big_p(sK0),
inference(cnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0] :
( ~ big_p(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X0] :
( ~ big_p(X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_49,plain,
big_p(sK0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_50,plain,
! [X0: $i] :
( ~ big_f(X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_51,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
! [X0: $i] :
( big_f(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_55,plain,
( big_f(sK0)
| ~ big_p(sK0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_56,plain,
( big_g(sK0)
| ~ big_p(sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_58,plain,
( ~ big_f(sK0)
| ~ big_g(sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_59,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_58,c_56,c_55,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 23:57:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 1.23/1.30 % SZS status Started for theBenchmark.p
% 1.23/1.30 % SZS status Theorem for theBenchmark.p
% 1.23/1.30
% 1.23/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.23/1.30
% 1.23/1.30 % ------ iProver source info
% 1.23/1.30
% 1.23/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.23/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.23/1.30 % git: non_committed_changes: false
% 1.23/1.30
% 1.23/1.30 % ------ Parsing...
% 1.23/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.23/1.30 %
% 1.23/1.30
% 1.23/1.30 % ------ Preprocessing...%
% 1.23/1.30
% 1.23/1.30 % SZS status Theorem for theBenchmark.p
% 1.23/1.30
% 1.23/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.23/1.30
% 1.23/1.30
%------------------------------------------------------------------------------