%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN245-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:37:23 AM UTC 2026
% Result : Unsatisfiable 0.97s 0.60s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 7 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
! [VAR_0] : ~ m1(c,VAR_0,c),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(c,A,c),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_025,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m0(VAR_1,VAR_2,VAR_0)
| m1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_025) ).
cnf(c_447,plain,
( ~ m0(B,C,A)
| m1(A,A,A) ),
inference(clausify,[status(thm)],[rule_025]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_477,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
cnf(c_563,plain,
~ m0(A,B,c),
inference(resolve,[status(thm)],[c_447,c_264]) ).
cnf(c_564,plain,
$false,
inference(resolve,[status(thm)],[c_563,c_477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN245-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n018.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Sat Sep 26 17:28:06 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.42 % Process 989395 was started by sandbox2 on n018,
% 0.17/0.42 % Sat Sep 26 17:28:06 2026
% 0.17/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.97/0.60
% 0.97/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.97/0.60
% 0.97/0.60 % Proof 1 at 0.13 (+ 0.01) seconds.
% 0.97/0.60 % Length of proof is 5.
% 0.97/0.60 % Level of proof is 2.
% 0.97/0.60 % Maximum clause weight is 13.000.
% 0.97/0.60 % Given clauses 304.
% 0.97/0.60
% 0.97/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------