%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 4.34s 6.38s
% Output : Proof 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 36 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,negated_conjecture,
( f(b,Y2)
| ~ f(Y1,Y2)
| ~ g(Y2,z(Y1,Y2))
| ~ g(b,z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| ~ g(Y2,z(Y1,Y2))
| ~ g(b,z(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| ~ g(Y2,z(Y1,Y2))
| ~ g(b,z(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( f(b,X1)
| ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| ~ g(b,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p13,plain,
( f(b,b)
| ~ f(X0,b)
| ~ g(b,z(X0,b)) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(f2,negated_conjecture,
( f(b,Y2)
| ~ f(Y1,Y2)
| g(Y2,z(Y1,Y2))
| g(b,z(Y1,Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| g(Y2,z(Y1,Y2))
| g(b,z(Y1,Y2)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y1,Y2] :
( f(b,Y2)
| ~ f(Y1,Y2)
| g(Y2,z(Y1,Y2))
| g(b,z(Y1,Y2)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( f(b,X1)
| ~ f(X0,X1)
| g(X1,z(X0,X1))
| g(b,z(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( f(b,b)
| ~ f(X0,b)
| g(b,z(X0,b)) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(f0,negated_conjecture,
f(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
f(a,b),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
f(a,b),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p14,plain,
( f(b,b)
| g(b,z(a,b)) ),
inference(resolution,[status(thm)],[p7,c0]) ).
cnf(p16,plain,
( f(b,b)
| f(b,b)
| ~ f(a,b) ),
inference(resolution,[status(thm)],[p13,p14]) ).
cnf(p17,plain,
( f(b,b)
| ~ f(a,b) ),
inference(factoring,[status(thm)],[p16]) ).
cnf(p18,plain,
f(b,b),
inference(resolution,[status(thm)],[p17,c0]) ).
cnf(f6,negated_conjecture,
( ~ f(Y1,Y2)
| ~ f(b,Y1)
| ~ f(a,Y1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [Y1,Y2] :
( ~ f(Y1,Y2)
| ~ f(b,Y1)
| ~ f(a,Y1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Y1,Y2] :
( ~ f(Y1,Y2)
| ~ f(b,Y1)
| ~ f(a,Y1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ f(X0,X1)
| ~ f(b,X0)
| ~ f(a,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p10,plain,
( ~ f(b,b)
| ~ f(a,b) ),
inference(factoring,[status(thm)],[c6]) ).
cnf(p12,plain,
~ f(b,b),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(p19,plain,
$false,
inference(resolution,[status(thm)],[p18,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.58 % Computer : n026.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Fri Sep 25 01:00:31 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.34/6.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.34/6.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------