%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:33:37 PM UTC 2026
% Result : Unsatisfiable 4.46s 1.29s
% Output : Proof 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 82 ( 41 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,axiom,
( big_p(b)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X] :
( big_p(b)
| big_q(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( big_p(b)
| big_q(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( big_p(b)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f0,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
big_p(a),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
big_p(a),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p12,plain,
( big_p(b)
| big_q(a) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(f6,negated_conjecture,
( ~ big_p(X)
| ~ big_q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X] :
( ~ big_p(X)
| ~ big_q(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ~ big_p(X)
| ~ big_q(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ big_p(X0)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p14,plain,
( ~ big_p(a)
| big_p(b) ),
inference(resolution,[status(thm)],[p12,c6]) ).
cnf(p15,plain,
big_p(b),
inference(resolution,[status(thm)],[p14,c0]) ).
cnf(f2,axiom,
( big_f(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X] :
( big_f(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( big_f(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_f(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
big_f(b),
inference(resolution,[status(thm)],[p15,c2]) ).
cnf(f1,axiom,
( ~ big_r(X)
| ~ big_g(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X] :
( ~ big_r(X)
| ~ big_g(X)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ~ big_r(X)
| ~ big_g(X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ big_r(X0)
| ~ big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p19,plain,
( ~ big_r(b)
| ~ big_g(b) ),
inference(resolution,[status(thm)],[p17,c1]) ).
cnf(f3,axiom,
( big_g(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X] :
( big_g(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( big_g(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( big_g(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p18,plain,
big_g(b),
inference(resolution,[status(thm)],[p15,c3]) ).
cnf(p20,plain,
~ big_r(b),
inference(resolution,[status(thm)],[p19,p18]) ).
cnf(f5,negated_conjecture,
( big_r(b)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X] :
( big_r(b)
| big_q(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( big_r(b)
| big_q(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( big_r(b)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p7,plain,
( big_r(b)
| big_q(a) ),
inference(resolution,[status(thm)],[c0,c5]) ).
cnf(p8,plain,
( ~ big_p(a)
| big_r(b) ),
inference(resolution,[status(thm)],[p7,c6]) ).
cnf(p9,plain,
big_r(b),
inference(resolution,[status(thm)],[p8,c0]) ).
cnf(p21,plain,
$false,
inference(resolution,[status(thm)],[p20,p9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.56 % Computer : n011.cluster.edu
% 0.12/0.56 % Model : x86_64 x86_64
% 0.12/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.56 % Memory : 8046.5625MB
% 0.12/0.56 % OS : Linux 6.8.0-71-generic
% 0.12/0.56 % CPULimit : 300
% 0.12/0.56 % WCLimit : 300
% 0.12/0.56 % DateTime : Thu Sep 24 23:57:58 UTC 2026
% 0.12/0.57 % CPUTime :
% 0.12/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.46/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.46/1.29 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------