%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN054-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 2.39s 0.77s
% Output : Proof 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( big_r(X)
| big_q(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X] :
( big_r(X)
| big_q(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( big_r(X)
| big_q(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( big_r(X0)
| big_q(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f2,axiom,
( big_q(b)
| big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
( big_q(b)
| big_p(a) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( big_q(b)
| big_p(a) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_q(b)
| big_p(a) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( big_q(b)
| big_r(a)
| big_q(a) ),
inference(resolution,[status(thm)],[c1,c2]) ).
cnf(f5,negated_conjecture,
( ~ big_r(X)
| ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ big_r(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p6,plain,
( ~ big_r(a)
| big_q(b) ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(p9,plain,
( big_q(b)
| big_q(b)
| big_q(a) ),
inference(resolution,[status(thm)],[p7,p6]) ).
cnf(p11,plain,
( big_q(b)
| big_q(a) ),
inference(factoring,[status(thm)],[p9]) ).
cnf(f3,axiom,
( big_s(X)
| ~ big_q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [X] :
( big_s(X)
| ~ big_q(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( big_s(X)
| ~ big_q(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( big_s(X0)
| ~ big_q(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p12,plain,
( big_s(b)
| big_q(a) ),
inference(resolution,[status(thm)],[p11,c3]) ).
cnf(p13,plain,
( big_s(a)
| big_s(b) ),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(f0,axiom,
( ~ big_q(X)
| ~ big_s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ big_q(X0)
| ~ big_s(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p14,plain,
( ~ big_q(b)
| big_s(a) ),
inference(resolution,[status(thm)],[p13,c0]) ).
cnf(p15,plain,
( big_q(a)
| big_s(a) ),
inference(resolution,[status(thm)],[p14,p11]) ).
cnf(p16,plain,
( big_s(a)
| big_s(a) ),
inference(resolution,[status(thm)],[p15,c3]) ).
cnf(p17,plain,
big_s(a),
inference(factoring,[status(thm)],[p16]) ).
cnf(p18,plain,
~ big_q(a),
inference(resolution,[status(thm)],[p17,c0]) ).
cnf(p19,plain,
big_s(b),
inference(resolution,[status(thm)],[p18,p12]) ).
cnf(p20,plain,
~ big_q(b),
inference(resolution,[status(thm)],[p19,c0]) ).
cnf(p21,plain,
big_q(a),
inference(resolution,[status(thm)],[p20,p11]) ).
cnf(p22,plain,
$false,
inference(resolution,[status(thm)],[p21,p18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 23:57:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.39/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.39/0.77 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------