%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN060+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 : n015.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 0.41s 1.28s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 12 |; 4 &)
% ( 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 : 13 ( 0 sgn 12 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( big_g(X0)
| big_f(X0) )
=> ~ big_h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_1) ).
fof(f2,axiom,
! [X0] :
( ( big_g(X0)
=> ~ big_i(X0) )
=> ( big_h(X0)
& big_f(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_2) ).
fof(f3,conjecture,
! [X0] : big_i(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30) ).
fof(f4,negated_conjecture,
~ ! [X0] : big_i(X0),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] :
( ( ~ big_g(X0)
& ~ big_f(X0) )
| ~ big_h(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
! [X0] :
( ( big_g(X0)
& big_i(X0) )
| ( big_h(X0)
& big_f(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
? [X0] : ~ big_i(X0),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
~ big_i(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
fof(f10,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X0] :
( big_i(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0] :
( big_i(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
~ big_i(sK0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_49,plain,
! [X0: $i] :
( ~ big_f(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_51,plain,
! [X0: $i] :
( big_i(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_53,plain,
! [X0: $i] :
( big_i(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_55,negated_conjecture,
~ big_i(sK0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_57,plain,
( big_i(sK0)
| big_h(sK0) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_59,plain,
( big_i(sK0)
| big_f(sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_61,plain,
( ~ big_f(sK0)
| ~ big_h(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_62,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_61,c_59,c_57,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:02:28 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.42 Running first-order theorem proving
% 0.03/0.42 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
% 0.03/0.43
% 0.03/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.43
% 0.03/0.43 % Detected problem language: tptp
% 0.03/0.44 % Proving...
% 0.41/1.28 % SZS status Started for theBenchmark.p
% 0.41/1.28 % SZS status Theorem for theBenchmark.p
% 0.41/1.28
% 0.41/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.41/1.28
% 0.41/1.28 % ------ iProver source info
% 0.41/1.28
% 0.41/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.41/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.41/1.28 % git: non_committed_changes: false
% 0.41/1.28
% 0.41/1.28 % ------ Parsing...
% 0.41/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.41/1.28 %
% 0.41/1.28
% 0.41/1.28 % ------ Preprocessing...%
% 0.41/1.28
% 0.41/1.28 % SZS status Theorem for theBenchmark.p
% 0.41/1.28
% 0.41/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.28
% 0.41/1.28
%------------------------------------------------------------------------------