%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:34:28 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.80s
% Output : Proof 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 35 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,negated_conjecture,
( f(Y,z(X,Y))
| f(X,z(X,Y))
| ~ f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [X,Y] :
( f(Y,z(X,Y))
| f(X,z(X,Y))
| ~ f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( f(Y,z(X,Y))
| f(X,z(X,Y))
| ~ f(X,Y) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( f(X1,z(X0,X1))
| f(X0,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p26,plain,
( f(X0,z(X0,X0))
| ~ f(X0,X0) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(f2,negated_conjecture,
( f(z(X,Y),z(X,Y))
| f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [X,Y] :
( f(z(X,Y),z(X,Y))
| f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( f(z(X,Y),z(X,Y))
| f(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( f(z(X0,X1),z(X0,X1))
| f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p33,plain,
( f(X0,X1)
| f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(resolution,[status(thm)],[p26,c2]) ).
cnf(f5,negated_conjecture,
( ~ f(Y,z(X,Y))
| ~ f(X,z(X,Y))
| ~ f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5_nnf,plain,
! [X,Y] :
( ~ f(Y,z(X,Y))
| ~ f(X,z(X,Y))
| ~ f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( ~ f(Y,z(X,Y))
| ~ f(X,z(X,Y))
| ~ f(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ f(X1,z(X0,X1))
| ~ f(X0,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p15,plain,
( ~ f(X0,z(X0,X0))
| ~ f(X0,X0) ),
inference(factoring,[status(thm)],[c5]) ).
cnf(p21,plain,
( f(X0,X1)
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(resolution,[status(thm)],[p15,c2]) ).
cnf(p39,plain,
( f(X0,X1)
| f(X0,X1) ),
inference(resolution,[status(thm)],[p33,p21]) ).
cnf(p40,plain,
f(X0,X1),
inference(factoring,[status(thm)],[p39]) ).
cnf(p42,plain,
~ f(X0,z(X0,X0)),
inference(resolution,[status(thm)],[p40,p15]) ).
cnf(p43,plain,
$false,
inference(resolution,[status(thm)],[p42,p40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN352-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 00:59:19 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.80 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------