%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN063+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:33:39 PM UTC 2026
% Result : Theorem 3.64s 1.13s
% Output : Proof 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 116 ( 39 ~; 47 |; 24 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 17 ( 7 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ! [X] :
( ( ( big_p(X)
=> big_p(b) )
& big_p(a) )
=> big_p(c) )
<=> ! [X1] :
( ( big_p(c)
| ~ big_p(b)
| ~ big_p(a) )
& ( big_p(c)
| big_p(X1)
| ~ big_p(a) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel33) ).
fof(f0_neg,negated_conjecture,
~ ( ! [X] :
( ( ( big_p(X)
=> big_p(b) )
& big_p(a) )
=> big_p(c) )
<=> ! [X1] :
( ( big_p(c)
| ~ big_p(b)
| ~ big_p(a) )
& ( big_p(c)
| big_p(X1)
| ~ big_p(a) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ! [X1] :
( ( big_p(c)
| ~ big_p(b)
| ~ big_p(a) )
& ( big_p(c)
| big_p(X1)
| ~ big_p(a) ) )
& ? [X] :
( ~ big_p(c)
& ( big_p(b)
| ~ big_p(X) )
& big_p(a) ) )
| ( ? [X1] :
( ( ~ big_p(c)
& big_p(b)
& big_p(a) )
| ( ~ big_p(c)
& ~ big_p(X1)
& big_p(a) ) )
& ! [X] :
( big_p(c)
| ( ~ big_p(b)
& big_p(X) )
| ~ big_p(a) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,X1] :
( ( ( big_p(c)
| ~ big_p(b)
| ~ big_p(a) )
& ( big_p(c)
| big_p(X1)
| ~ big_p(a) )
& ~ big_p(c)
& ( big_p(b)
| ~ big_p(sk1) )
& big_p(a) )
| ( ( ( ~ big_p(c)
& big_p(b)
& big_p(a) )
| ( ~ big_p(c)
& ~ big_p(sk0)
& big_p(a) ) )
& ( big_p(c)
| ( ~ big_p(b)
& big_p(X) )
| ~ big_p(a) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c3,plain,
( big_p(c)
| big_p(X1)
| ~ big_p(a)
| big_p(c)
| big_p(X0)
| ~ big_p(a) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p63,plain,
( big_p(c)
| big_p(X1)
| big_p(c)
| big_p(X0)
| ~ big_p(a) ),
inference(factoring,[status(thm)],[c3]) ).
cnf(p72,plain,
( big_p(X1)
| big_p(c)
| big_p(X0)
| ~ big_p(a) ),
inference(factoring,[status(thm)],[p63]) ).
cnf(p73,plain,
( big_p(X0)
| big_p(c)
| ~ big_p(a) ),
inference(factoring,[status(thm)],[p72]) ).
cnf(p74,plain,
( big_p(c)
| ~ big_p(a) ),
inference(factoring,[status(thm)],[p73]) ).
cnf(c10,plain,
( big_p(a)
| big_p(a)
| big_p(a) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p55,plain,
( big_p(a)
| big_p(a) ),
inference(factoring,[status(thm)],[c10]) ).
cnf(p56,plain,
big_p(a),
inference(factoring,[status(thm)],[p55]) ).
cnf(p75,plain,
big_p(c),
inference(resolution,[status(thm)],[p74,p56]) ).
cnf(c52,plain,
( ~ big_p(c)
| ~ big_p(c)
| ~ big_p(c) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p60,plain,
( ~ big_p(c)
| ~ big_p(c) ),
inference(factoring,[status(thm)],[c52]) ).
cnf(p61,plain,
~ big_p(c),
inference(factoring,[status(thm)],[p60]) ).
cnf(p76,plain,
$false,
inference(resolution,[status(thm)],[p75,p61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN063+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 23:56:46 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.64/1.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/1.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------