%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN063-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 03:33:40 PM UTC 2026
% Result : Unsatisfiable 0.07s 5.80s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 22 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,negated_conjecture,
( ~ big_p(a)
| big_p(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_1) ).
fof(f0_nnf,plain,
( ~ big_p(a)
| big_p(c) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ big_p(a)
| big_p(c) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ big_p(a)
| big_p(c) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
ifeq(big_p(a),true,big_p(c),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_2) ).
fof(f1_nnf,plain,
big_p(a),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
big_p(a),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,negated_conjecture,
big_p(a) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t1,plain,
big_p(c) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1]) ).
cnf(t6,plain,
big_p(c) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f2,negated_conjecture,
~ big_p(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel33_3) ).
fof(f2_nnf,plain,
~ big_p(c),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ big_p(c),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ big_p(c),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
big_p(c) != true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t6]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN063-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Fri Sep 25 00:00:55 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.31 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/5.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------