%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:35:35 PM UTC 2026
% Result : Unsatisfiable 4.98s 1.13s
% Output : Proof 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 14 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,negated_conjecture,
( ~ p(g(sk2),A)
| ~ p(sk2,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_5) ).
fof(f4_nnf,plain,
! [A] :
( ~ p(g(sk2),A)
| ~ p(sk2,sk2) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A] :
( ~ p(g(sk2),A)
| ~ p(sk2,sk2) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ p(g(sk2),X0)
| ~ p(sk2,sk2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f1,negated_conjecture,
( p(A,sk1(A))
| m(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_2) ).
fof(f1_nnf,plain,
! [A] :
( p(A,sk1(A))
| m(A) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A] :
( p(A,sk1(A))
| m(A) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( p(X0,sk1(X0))
| m(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f0,negated_conjecture,
( ~ p(A,B)
| p(C,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_1) ).
fof(f0_nnf,plain,
! [C,A,B] :
( ~ p(A,B)
| p(C,C) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [C,A,B] :
( ~ p(A,B)
| p(C,C) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ p(X1,X2)
| p(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( p(X1,X1)
| m(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p8,plain,
( m(X1)
| ~ p(g(sk2),X0) ),
inference(resolution,[status(thm)],[c4,p5]) ).
cnf(p10,plain,
( m(X1)
| m(X0) ),
inference(resolution,[status(thm)],[p8,p5]) ).
cnf(p11,plain,
m(X0),
inference(factoring,[status(thm)],[p10]) ).
cnf(f3,negated_conjecture,
( ~ q(A)
| ~ m(g(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_4) ).
fof(f3_nnf,plain,
! [A] :
( ~ q(A)
| ~ m(g(A)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A] :
( ~ q(A)
| ~ m(g(A)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ q(X0)
| ~ m(g(X0)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p14,plain,
~ q(X0),
inference(resolution,[status(thm)],[p11,c3]) ).
cnf(f2,negated_conjecture,
( p(A,sk1(A))
| q(f(A,sk1(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_3) ).
fof(f2_nnf,plain,
! [A] :
( p(A,sk1(A))
| q(f(A,sk1(A))) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A] :
( p(A,sk1(A))
| q(f(A,sk1(A))) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p15,plain,
p(X0,sk1(X0)),
inference(resolution,[status(thm)],[p14,c2]) ).
cnf(p16,plain,
p(X0,X0),
inference(resolution,[status(thm)],[p15,c0]) ).
cnf(p17,plain,
~ p(g(sk2),X0),
inference(resolution,[status(thm)],[p16,c4]) ).
cnf(p18,plain,
$false,
inference(resolution,[status(thm)],[p17,p15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 02:08:16 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.98/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.98/1.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------