%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 03:33:17 PM UTC 2026
% Result : Unsatisfiable 2.72s 0.81s
% Output : Proof 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 18 ( 6 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 23 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( ~ p(f(f(f(f(f(f(f(f(X)))))))))
| ~ p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',negative) ).
fof(f1_nnf,plain,
! [X] :
( ~ p(f(f(f(f(f(f(f(f(X)))))))))
| ~ p(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ~ p(f(f(f(f(f(f(f(f(X)))))))))
| ~ p(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ p(f(f(f(f(f(f(f(f(X0)))))))))
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f0,negated_conjecture,
( p(f(f(f(f(f(f(f(X))))))))
| p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',positive) ).
fof(f0_nnf,plain,
! [X] :
( p(f(f(f(f(f(f(f(X))))))))
| p(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( p(f(f(f(f(f(f(f(X))))))))
| p(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( p(f(f(f(f(f(f(f(X0))))))))
| p(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2,plain,
( p(X0)
| ~ p(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X0)))))))))))))))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p3,plain,
( p(f(f(f(f(f(f(f(f(X0)))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p2,c0]) ).
cnf(p4,plain,
( ~ p(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X0)))))))))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p3,c1]) ).
cnf(p5,plain,
( p(f(f(f(f(f(f(f(f(f(X0))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p4,c0]) ).
cnf(p7,plain,
( p(X0)
| p(f(f(f(f(f(f(X0))))))) ),
inference(resolution,[status(thm)],[p5,p2]) ).
cnf(p8,plain,
( ~ p(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X0)))))))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p7,c1]) ).
cnf(p6,plain,
( ~ p(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X0))))))))))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p5,c1]) ).
cnf(p9,plain,
( p(X0)
| p(f(f(f(f(f(f(f(f(f(f(X0))))))))))) ),
inference(resolution,[status(thm)],[p7,p4]) ).
cnf(p11,plain,
( p(X0)
| p(f(f(f(f(f(X0)))))) ),
inference(resolution,[status(thm)],[p9,p2]) ).
cnf(p14,plain,
( p(f(f(f(f(f(f(f(f(f(f(f(f(X0)))))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p6,p11]) ).
cnf(p23,plain,
( p(f(f(X0)))
| p(X0) ),
inference(resolution,[status(thm)],[p8,p14]) ).
cnf(p24,plain,
( ~ p(f(f(f(f(f(f(f(f(f(f(X0)))))))))))
| p(X0) ),
inference(resolution,[status(thm)],[p23,c1]) ).
cnf(p27,plain,
( p(X0)
| p(X0) ),
inference(resolution,[status(thm)],[p24,p9]) ).
cnf(p28,plain,
p(X0),
inference(factoring,[status(thm)],[p27]) ).
cnf(p29,plain,
~ p(f(f(f(f(f(f(f(f(X0))))))))),
inference(resolution,[status(thm)],[p28,c1]) ).
cnf(p30,plain,
$false,
inference(resolution,[status(thm)],[p29,p28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN002-1.007.008 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n016.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 : Thu Sep 24 23:54:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.72/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.72/0.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------