%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN240-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 09:37:22 AM UTC 2026
% Result : Unsatisfiable 0.15s 5.48s
% Output : CNFRefutation 0.15s
% 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 : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 1 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
! [VAR_0] : ~ m1(VAR_0,e,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m1(A,e,e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_030,axiom,
( ~ r0(e)
| m1(e,e,e) ),
file('theBenchmark.p',rule_030) ).
cnf(c_449,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(clausify,[status(thm)],[rule_030]) ).
cnf(c_450,plain,
~ r0(e),
inference(resolve,[status(thm)],[c_264,c_449]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_493,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_494,plain,
$false,
inference(resolve,[status(thm)],[c_450,c_493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN240-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 17:23:15 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 65239 was started by sandbox on n007,
% 0.09/5.37 % Sat Sep 26 17:23:15 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/5.39
% 0.09/5.39 % From the command line: assign(max_seconds, 300).
% 0.15/5.48
% 0.15/5.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.48
% 0.15/5.48 % Proof 1 at 0.08 (+ 0.01) seconds.
% 0.15/5.48 % Length of proof is 5.
% 0.15/5.48 % Level of proof is 2.
% 0.15/5.48 % Maximum clause weight is 9.000.
% 0.15/5.48 % Given clauses 0.
% 0.15/5.48
% 0.15/5.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------