%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SCT052-1 : TPTP v9.3.1. Released v4.1.0.
% 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 08:28:25 AM UTC 2026
% Result : Unsatisfiable 1.83s 0.74s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 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 : 2 ( 0 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(cls_conjecture_4,axiom,
v_b____ != v_c____,
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_602,plain,
v_b____ != v_c____,
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
cnf(c_603,plain,
v_c____ != v_b____,
inference(copy,[status(thm)],[c_602]) ).
fof(cls_conjecture_5,axiom,
v_b____ = v_c____,
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_604,plain,
v_b____ = v_c____,
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
cnf(c_606,plain,
v_c____ = v_b____,
inference(copy,[status(thm)],[c_604]) ).
cnf(c_605,plain,
$false,
inference(resolve,[status(thm)],[c_603,c_606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT052-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 06:23:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2973800 was started by sandbox on n008,
% 0.10/0.37 % Sat Sep 26 06:23:39 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.40
% 0.10/0.40 % From the command line: assign(max_seconds, 300).
% 1.83/0.74
% 1.83/0.74 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.74
% 1.83/0.74 % Proof 1 at 0.28 (+ 0.02) seconds.
% 1.83/0.74 % Length of proof is 4.
% 1.83/0.74 % Level of proof is 2.
% 1.83/0.74 % Maximum clause weight is 8.000.
% 1.83/0.74 % Given clauses 0.
% 1.83/0.74
% 1.83/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------