%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN407+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 03:39:59 PM UTC 2026
% Result : Theorem 1.19s 16.50s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 73 ( 28 ~; 25 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 16 !; 5 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( f(X0)
=> ( h(X0)
| g(X0) ) )
=> ( ? [X2] :
( h(X2)
& f(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish241) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
=> ( h(X0)
| g(X0) ) )
=> ( ? [X2] :
( h(X2)
& f(X2) )
| ! [X1] :
( f(X1)
=> g(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( ~ f(X0)
| h(X0)
| g(X0) )
& ! [X2] :
( ~ h(X2)
| ~ f(X2) )
& ? [X1] :
( f(X1)
& ~ g(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0] :
( ~ f(X0)
| h(X0)
| g(X0) )
& ! [X2] :
( ~ h(X2)
| ~ f(X2) )
& ? [X1] :
( f(X1)
& ~ g(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X2] :
( ~ f(X2)
| h(X2)
| g(X2) )
& ! [X1] :
( ~ h(X1)
| ~ f(X1) )
& ? [X0] :
( f(X0)
& ~ g(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ! [X2] :
( ~ f(X2)
| h(X2)
| g(X2) )
& ! [X1] :
( ~ h(X1)
| ~ f(X1) )
& f(sK0)
& ~ g(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
fof(f7,plain,
! [X2] :
( ~ f(X2)
| h(X2)
| g(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X1] :
( ~ h(X1)
| ~ f(X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
f(sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
~ g(sK0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
~ g(sK0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_50,negated_conjecture,
f(sK0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( ~ h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( h(X0)
| g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_53,plain,
( ~ h(sK0)
| ~ f(sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_54,plain,
( h(sK0)
| g(sK0)
| ~ f(sK0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_55,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54,c_53,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN407+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/15.59 % Computer : n006.cluster.edu
% 0.12/15.59 % Model : x86_64 x86_64
% 0.12/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.59 % Memory : 8046.5625MB
% 0.12/15.59 % OS : Linux 6.8.0-71-generic
% 0.12/15.59 % CPULimit : 300
% 0.12/15.59 % WCLimit : 300
% 0.12/15.59 % DateTime : Fri Sep 25 01:05:43 UTC 2026
% 0.12/15.60 % CPUTime :
% 0.12/15.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/15.63 Running first-order theorem proving
% 0.15/15.63 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/15.64
% 0.15/15.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/15.64
% 0.15/15.64 % Detected problem language: tptp
% 0.15/15.66 % Proving...
% 1.19/16.50 % SZS status Started for theBenchmark.p
% 1.19/16.50 % SZS status Theorem for theBenchmark.p
% 1.19/16.50
% 1.19/16.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.19/16.50
% 1.19/16.50 % ------ iProver source info
% 1.19/16.50
% 1.19/16.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.19/16.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.19/16.50 % git: non_committed_changes: false
% 1.19/16.50
% 1.19/16.50 % ------ Parsing...
% 1.19/16.50 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.19/16.50 %
% 1.19/16.50
% 1.19/16.50 % ------ Preprocessing...%
% 1.19/16.50
% 1.19/16.50 % SZS status Theorem for theBenchmark.p
% 1.19/16.50
% 1.19/16.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.19/16.50
% 1.19/16.50
%------------------------------------------------------------------------------