%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN130-1 : 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 : n003.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 09:37:07 AM UTC 2026
% Result : Unsatisfiable 0.90s 0.60s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
! [VAR_0,VAR_1] : ~ m0(VAR_0,VAR_1,b),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ m0(A,B,b),
inference(clausify,[status(thm)],[prove_this]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_474,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
cnf(c_475,plain,
$false,
inference(resolve,[status(thm)],[c_474,c_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN130-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42 % Computer : n003.cluster.edu
% 0.08/0.42 % Model : x86_64 x86_64
% 0.08/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42 % Memory : 8046.5625MB
% 0.08/0.42 % OS : Linux 6.8.0-71-generic
% 0.08/0.42 % CPULimit : 300
% 0.08/0.42 % WCLimit : 300
% 0.08/0.42 % DateTime : Sat Sep 26 17:14:24 UTC 2026
% 0.08/0.42 % CPUTime :
% 0.08/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.42 % Process 3389122 was started by sandbox on n003,
% 0.08/0.42 % Sat Sep 26 17:14:24 2026
% 0.08/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.43
% 0.08/0.43 % From the command line: assign(max_seconds, 300).
% 0.90/0.60
% 0.90/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.90/0.60
% 0.90/0.60 % Proof 1 at 0.15 (+ 0.01) seconds.
% 0.90/0.60 % Length of proof is 3.
% 0.90/0.60 % Level of proof is 1.
% 0.90/0.60 % Maximum clause weight is 4.000.
% 0.90/0.60 % Given clauses 0.
% 0.90/0.60
% 0.90/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------