%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 03:33:41 PM UTC 2026
% Result : Unsatisfiable 3.23s 0.89s
% Output : Proof 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 40 ( 11 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
( big_q(h(X,Y),g(X))
| ~ big_p(f(X,Y),g(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( big_q(h(X,Y),g(X))
| ~ big_p(f(X,Y),g(X)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( big_q(h(X,Y),g(X))
| ~ big_p(f(X,Y),g(X)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_q(h(X0,X1),g(X0))
| ~ big_p(f(X0,X1),g(X0)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f3,axiom,
( big_q(i(X,Y),X)
| big_p(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X,Y] :
( big_q(i(X,Y),X)
| big_p(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( big_q(i(X,Y),X)
| big_p(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( big_q(i(X0,X1),X0)
| big_p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f4,axiom,
( big_r(Z,Z)
| ~ big_q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X,Y,Z] :
( big_r(Z,Z)
| ~ big_q(X,Y) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z] :
( big_r(Z,Z)
| ~ big_q(X,Y) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( big_r(X2,X2)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6,plain,
( big_r(X2,X2)
| big_p(X0,X1) ),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(f5,negated_conjecture,
~ big_r(a,Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [Z] : ~ big_r(a,Z),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Z] : ~ big_r(a,Z),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ big_r(a,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p8,plain,
big_p(X0,X1),
inference(resolution,[status(thm)],[p6,c5]) ).
cnf(p9,plain,
big_q(h(X0,X1),g(X0)),
inference(resolution,[status(thm)],[c2,p8]) ).
cnf(p10,plain,
big_r(X0,X0),
inference(resolution,[status(thm)],[p9,c4]) ).
cnf(p11,plain,
$false,
inference(resolution,[status(thm)],[p10,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 23:57:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.23/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.23/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------