%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN407+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 03:34:37 PM UTC 2026
% Result : Theorem 0.15s 10.97s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 42 ( 14 ~; 14 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 : 13 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ! [X] :
( f(X)
=> ( h(X)
| g(X) ) )
=> ( ? [Z] :
( h(Z)
& f(Z) )
| ! [Y] :
( f(Y)
=> g(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish241) ).
fof(f0_neg,negated_conjecture,
~ ( ! [X] :
( f(X)
=> ( h(X)
| g(X) ) )
=> ( ? [Z] :
( h(Z)
& f(Z) )
| ! [Y] :
( f(Y)
=> g(Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [Z] :
( ~ h(Z)
| ~ f(Z) )
& ? [Y] :
( ~ g(Y)
& f(Y) )
& ! [X] :
( h(X)
| g(X)
| ~ f(X) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Z] :
( ( ~ h(Z)
| ~ f(Z) )
& ~ g(sk0)
& f(sk0)
& ( h(X)
| g(X)
| ~ f(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c3,plain,
( ~ h(X2)
| ~ f(X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
f(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
~ h(sk0),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c0,plain,
( h(X0)
| g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
( h(sk0)
| g(sk0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p6,plain,
g(sk0),
inference(resolution,[status(thm)],[p5,p4]) ).
cnf(c2,plain,
~ g(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
$false,
inference(resolution,[status(thm)],[p6,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN407+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.55 % Computer : n016.cluster.edu
% 0.10/10.55 % Model : x86_64 x86_64
% 0.10/10.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.55 % Memory : 8046.5625MB
% 0.10/10.55 % OS : Linux 6.8.0-71-generic
% 0.10/10.55 % CPULimit : 300
% 0.10/10.55 % WCLimit : 300
% 0.10/10.55 % DateTime : Fri Sep 25 01:10:40 UTC 2026
% 0.10/10.55 % CPUTime :
% 0.10/10.55 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/10.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.97 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------