%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 03:35:34 PM UTC 2026
% Result : Unsatisfiable 3.25s 1.07s
% Output : Proof 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 69 ( 33 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,negated_conjecture,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_9) ).
fof(f2_nnf,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f1,negated_conjecture,
( r(sk2)
| r(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_4) ).
fof(f1_nnf,plain,
( r(sk2)
| r(sk1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( r(sk2)
| r(sk1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( r(sk2)
| r(sk1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p7,plain,
( r(sk1)
| ~ s(sk2)
| r(sk1) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(p9,plain,
( ~ s(sk2)
| r(sk1) ),
inference(factoring,[status(thm)],[p7]) ).
cnf(f0,negated_conjecture,
( ~ r(A)
| s(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_3) ).
fof(f0_nnf,plain,
! [A] :
( ~ r(A)
| s(A) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A] :
( ~ r(A)
| s(A) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ r(X0)
| s(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( s(sk2)
| r(sk1) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p6,plain,
( s(sk1)
| s(sk2) ),
inference(resolution,[status(thm)],[p5,c0]) ).
cnf(p10,plain,
( s(sk1)
| r(sk1) ),
inference(resolution,[status(thm)],[p9,p6]) ).
cnf(p11,plain,
( s(sk1)
| s(sk1) ),
inference(resolution,[status(thm)],[p10,c0]) ).
cnf(p12,plain,
s(sk1),
inference(factoring,[status(thm)],[p11]) ).
cnf(f3,negated_conjecture,
( ~ s(sk1)
| r(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_10) ).
fof(f3_nnf,plain,
( ~ s(sk1)
| r(sk2) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ s(sk1)
| r(sk2) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ s(sk1)
| r(sk2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p13,plain,
r(sk2),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(f4,negated_conjecture,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm31_15) ).
fof(f4_nnf,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p15,plain,
( ~ s(sk2)
| ~ s(sk1) ),
inference(resolution,[status(thm)],[p13,c4]) ).
cnf(p17,plain,
~ s(sk2),
inference(resolution,[status(thm)],[p15,p12]) ).
cnf(p14,plain,
s(sk2),
inference(resolution,[status(thm)],[p13,c0]) ).
cnf(p18,plain,
$false,
inference(resolution,[status(thm)],[p17,p14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n004.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 : Fri Sep 25 02:11:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.25/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.25/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------