%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 03:34:20 PM UTC 2026
% Result : Unsatisfiable 4.60s 1.12s
% Output : Proof 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 28 ( 12 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,negated_conjecture,
( h(X)
| ~ f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [X] :
( h(X)
| ~ f(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( h(X)
| ~ f(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f0,negated_conjecture,
( g(X)
| f(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [Y,X] :
( g(X)
| f(Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Y,X] :
( g(X)
| f(Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( g(X1)
| f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
( g(X1)
| h(X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(f6,negated_conjecture,
~ h(z2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [X,Y] : ~ h(z2(X,Y)),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] : ~ h(z2(X,Y)),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ h(z2(X0,X1)),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p9,plain,
g(X0),
inference(resolution,[status(thm)],[p7,c6]) ).
cnf(f5,negated_conjecture,
( h(X)
| ~ g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X] :
( h(X)
| ~ g(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( h(X)
| ~ g(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( h(X0)
| ~ g(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p10,plain,
h(X0),
inference(resolution,[status(thm)],[p9,c5]) ).
cnf(p11,plain,
$false,
inference(resolution,[status(thm)],[p10,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:52:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.60/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.60/1.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------