%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN939+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 5.30s 1.23s
% Output : Proof 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 74 ( 30 ~; 26 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 39 ( 15 sgn 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
! [C,B] :
( ! [Z] : q(f(Z))
=> ? [X,Y] :
( q(X)
& ( r(Y)
=> ( r(C)
& r(B) ) )
& ( p(f(Y))
=> p(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ! [C,B] :
( ! [Z] : q(f(Z))
=> ? [X,Y] :
( q(X)
& ( r(Y)
=> ( r(C)
& r(B) ) )
& ( p(f(Y))
=> p(X) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [C,B] :
( ! [X,Y] :
( ~ q(X)
| ( ( ~ r(C)
| ~ r(B) )
& r(Y) )
| ( ~ p(X)
& p(f(Y)) ) )
& ! [Z] : q(f(Z)) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Z,Y,X] :
( ( ~ q(X)
| ( ( ~ r(sk0)
| ~ r(sk1) )
& r(Y) )
| ( ~ p(X)
& p(f(Y)) ) )
& q(f(Z)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c2,plain,
( ~ q(X3)
| ~ r(sk0)
| ~ r(sk1)
| p(f(X4)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( ~ q(X3)
| r(X4)
| p(f(X4)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
q(f(X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( r(X0)
| p(f(X0)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c3,plain,
( ~ q(X3)
| r(X4)
| ~ p(X3) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( ~ q(f(X0))
| r(X1)
| r(X0) ),
inference(resolution,[status(thm)],[p5,c3]) ).
cnf(p7,plain,
( ~ q(f(X0))
| r(X0) ),
inference(factoring,[status(thm)],[p6]) ).
cnf(p8,plain,
r(X0),
inference(resolution,[status(thm)],[p7,c0]) ).
cnf(p9,plain,
( ~ q(X1)
| ~ r(sk0)
| p(f(X0)) ),
inference(resolution,[status(thm)],[c2,p8]) ).
cnf(p10,plain,
( ~ q(X1)
| p(f(X0)) ),
inference(resolution,[status(thm)],[p9,p8]) ).
cnf(p11,plain,
p(f(X0)),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(c4,plain,
( ~ q(X3)
| ~ r(sk0)
| ~ r(sk1)
| ~ p(X3) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
( ~ q(f(X0))
| ~ r(sk0)
| ~ r(sk1) ),
inference(resolution,[status(thm)],[p11,c4]) ).
cnf(p13,plain,
( ~ q(f(X0))
| ~ r(sk0) ),
inference(resolution,[status(thm)],[p12,p8]) ).
cnf(p14,plain,
~ q(f(X0)),
inference(resolution,[status(thm)],[p13,p8]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN939+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 02:36:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.30/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.30/1.23 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------