%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 : Theorem 4.56s 1.07s
% Output : Proof 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 27 ~; 31 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 21 ( 0 sgn 10 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( big_p(X)
=> ( big_r(X)
| big_q(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_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]) ).
fof(f2,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_3) ).
fof(f2_nnf,plain,
( ? [Y] : big_q(Y)
| ? [X] : big_p(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( big_q(sk1)
| big_p(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f2_nnf]) ).
cnf(c2,plain,
( big_q(sk1)
| big_p(sk0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
( big_q(sk1)
| big_r(sk0)
| big_q(sk0) ),
inference(resolution,[status(thm)],[c1,c2]) ).
fof(f4,conjecture,
? [X] :
( big_r(X)
& big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24) ).
fof(f4_neg,negated_conjecture,
~ ? [X] :
( big_r(X)
& big_p(X) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f4_nnf,plain,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
inference(nnf_transformation,[status(thm)],[f4_neg]) ).
fof(f4_sk,plain,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c5,plain,
( ~ big_r(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p6,plain,
( ~ big_r(sk0)
| big_q(sk1) ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(p8,plain,
( big_q(sk1)
| big_q(sk1)
| big_q(sk0) ),
inference(resolution,[status(thm)],[p7,p6]) ).
cnf(p10,plain,
( big_q(sk1)
| big_q(sk0) ),
inference(factoring,[status(thm)],[p8]) ).
fof(f3,axiom,
! [X] :
( ( big_r(X)
| big_q(X) )
=> big_s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_4) ).
fof(f3_nnf,plain,
! [X] :
( big_s(X)
| ( ~ big_r(X)
& ~ big_q(X) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( big_s(X)
| ( ~ big_r(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(p11,plain,
( big_s(sk1)
| big_q(sk0) ),
inference(resolution,[status(thm)],[p10,c3]) ).
cnf(p12,plain,
( big_s(sk0)
| big_s(sk1) ),
inference(resolution,[status(thm)],[p11,c3]) ).
fof(f0,axiom,
~ ? [X] :
( big_q(X)
& big_s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_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(p13,plain,
( ~ big_q(sk1)
| big_s(sk0) ),
inference(resolution,[status(thm)],[p12,c0]) ).
cnf(p14,plain,
( big_q(sk0)
| big_s(sk0) ),
inference(resolution,[status(thm)],[p13,p10]) ).
cnf(p15,plain,
( big_s(sk0)
| big_s(sk0) ),
inference(resolution,[status(thm)],[p14,c3]) ).
cnf(p16,plain,
big_s(sk0),
inference(factoring,[status(thm)],[p15]) ).
cnf(p17,plain,
~ big_q(sk0),
inference(resolution,[status(thm)],[p16,c0]) ).
cnf(p18,plain,
big_s(sk1),
inference(resolution,[status(thm)],[p17,p11]) ).
cnf(p19,plain,
~ big_q(sk1),
inference(resolution,[status(thm)],[p18,c0]) ).
cnf(p20,plain,
big_q(sk0),
inference(resolution,[status(thm)],[p19,p10]) ).
cnf(p21,plain,
$false,
inference(resolution,[status(thm)],[p20,p17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:57:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.56/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.56/1.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------