%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN942+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 03:36:22 PM UTC 2026
% Result : Theorem 2.44s 0.77s
% Output : Proof 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 44 ( 16 ~; 12 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ~ ! [X] :
( a(X)
=> b(X) )
& ! [X] :
( a(X)
=> ( c(X)
| b(X) ) ) )
=> ? [X] :
( c(X)
& a(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ( ( ~ ! [X] :
( a(X)
=> b(X) )
& ! [X] :
( a(X)
=> ( c(X)
| b(X) ) ) )
=> ? [X] :
( c(X)
& a(X) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [X] :
( ~ c(X)
| ~ a(X) )
& ? [X] :
( ~ b(X)
& a(X) )
& ! [X] :
( c(X)
| b(X)
| ~ a(X) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X] :
( ( ~ c(X)
| ~ a(X) )
& ~ b(sk0)
& a(sk0)
& ( c(X)
| b(X)
| ~ a(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c3,plain,
( ~ c(X0)
| ~ a(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
a(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
~ c(sk0),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c0,plain,
( c(X0)
| b(X0)
| ~ a(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
( c(sk0)
| b(sk0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p6,plain,
b(sk0),
inference(resolution,[status(thm)],[p5,p4]) ).
cnf(c2,plain,
~ b(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
$false,
inference(resolution,[status(thm)],[p6,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN942+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.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 : Fri Sep 25 02:37:48 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.44/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/0.77 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------