%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 02:01:14 PM UTC 2026
% Result : Unsatisfiable 3.84s 1.02s
% Output : Proof 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,negated_conjecture,
( q
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
( q
| p ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( q
| p ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( q
| p ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f2,negated_conjecture,
~ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
~ q,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ q,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ q,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p4,plain,
p,
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(f3,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
~ p,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ p,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ p,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p5,plain,
$false,
inference(resolution,[status(thm)],[p4,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n001.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 : Wed Sep 23 22:17:50 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.84/1.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.84/1.02 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------