%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWC151-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Sun Sep 27 08:57:01 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.73s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1_8,axiom,
~ totalorderP(sk4),
file('theBenchmark.p',co1_8) ).
cnf(c_41,plain,
~ totalorderP(sk4),
inference(clausify,[status(thm)],[co1_8]) ).
fof(co1_7,axiom,
totalorderP(sk2),
file('theBenchmark.p',co1_7) ).
cnf(c_42,plain,
totalorderP(sk2),
inference(clausify,[status(thm)],[co1_7]) ).
fof(co1_5,axiom,
sk2 = sk4,
file('theBenchmark.p',co1_5) ).
cnf(c_45,plain,
sk2 = sk4,
inference(clausify,[status(thm)],[co1_5]) ).
cnf(c_46,plain,
sk4 = sk2,
inference(copy,[status(thm)],[c_45]) ).
cnf(c_275,plain,
~ totalorderP(sk2),
inference(paramod,[status(thm)],[c_46,c_41]) ).
cnf(c_274,plain,
$false,
inference(resolve,[status(thm)],[c_42,c_275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC151-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.65 % Computer : n008.cluster.edu
% 0.15/0.65 % Model : x86_64 x86_64
% 0.15/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.65 % Memory : 8046.5625MB
% 0.15/0.65 % OS : Linux 6.8.0-71-generic
% 0.15/0.65 % CPULimit : 300
% 0.15/0.65 % WCLimit : 300
% 0.15/0.65 % DateTime : Sat Sep 26 12:21:54 UTC 2026
% 0.21/0.65 % CPUTime :
% 0.21/0.66 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.21/0.66 % Process 3645151 was started by sandbox on n008,
% 0.21/0.66 % Sat Sep 26 12:21:54 2026
% 0.21/0.66 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.21/0.67
% 0.21/0.67 % From the command line: assign(max_seconds, 300).
% 0.22/0.73
% 0.22/0.73 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.73
% 0.22/0.73 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.22/0.73 % Length of proof is 5.
% 0.22/0.73 % Level of proof is 2.
% 0.22/0.73 % Maximum clause weight is 3.000.
% 0.22/0.73 % Given clauses 0.
% 0.22/0.73
% 0.22/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------