%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 03:45:31 PM UTC 2026
% Result : Theorem 1.01s 1.16s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 7 |; 14 &)
% ( 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 : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 15 !; 9 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] : b(X0)
& ? [X0] : a(X0) )
=> ? [X0] :
( b(X0)
& a(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] : b(X0)
& ? [X0] : a(X0) )
=> ? [X0] :
( b(X0)
& a(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X1] : b(X1)
& ? [X0] : a(X0) )
=> ? [X2] :
( b(X2)
& a(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X1] : b(X1)
& ? [X0] : a(X0)
& ! [X2] :
( ~ b(X2)
| ~ a(X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X1] : b(X1)
& ? [X0] : a(X0)
& ! [X2] :
( ~ b(X2)
| ~ a(X2) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X2] : b(X2)
& ? [X1] : a(X1)
& ! [X0] :
( ~ b(X0)
| ~ a(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X2] : b(X2)
& a(sK0)
& ! [X0] :
( ~ b(X0)
| ~ a(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f6]) ).
fof(f8,plain,
! [X2] : b(X2),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
a(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] :
( ~ b(X0)
| ~ a(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ b(X0)
| ~ a(X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_50,negated_conjecture,
a(sK0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] : b(X0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_52,plain,
b(sK0),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_53,plain,
( ~ b(sK0)
| ~ a(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_54,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 02:45:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.01/1.16 % SZS status Started for theBenchmark.p
% 1.01/1.16 % SZS status Theorem for theBenchmark.p
% 1.01/1.16
% 1.01/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.01/1.16
% 1.01/1.16 % ------ iProver source info
% 1.01/1.16
% 1.01/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.01/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.01/1.16 % git: non_committed_changes: false
% 1.01/1.16
% 1.01/1.16 % ------ Parsing...
% 1.01/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.01/1.16 %
% 1.01/1.16
% 1.01/1.16 % ------ Preprocessing...%
% 1.01/1.16
% 1.01/1.16 % SZS status Theorem for theBenchmark.p
% 1.01/1.16
% 1.01/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.01/1.16
% 1.01/1.16
%------------------------------------------------------------------------------