%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV818-1 : 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 : n010.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 09:09:10 AM UTC 2026
% Result : Unsatisfiable 0.10s 20.63s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 2 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
v_s != v_t,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_3,plain,
v_s != v_t,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_4,plain,
v_t != v_s,
inference(copy,[status(thm)],[c_3]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] : VAR_0 = v_ta,
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_5,plain,
A = v_ta,
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_6,plain,
v_ta = A,
inference(copy,[status(thm)],[c_5]) ).
cnf(c_7,plain,
v_ta != v_s,
inference(paramod,[status(thm)],[c_6,c_4]) ).
cnf(c_8,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV818-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/20.61 % Computer : n010.cluster.edu
% 0.10/20.61 % Model : x86_64 x86_64
% 0.10/20.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.61 % Memory : 8046.5625MB
% 0.10/20.61 % OS : Linux 6.8.0-71-generic
% 0.10/20.61 % CPULimit : 300
% 0.10/20.61 % WCLimit : 300
% 0.10/20.61 % DateTime : Sat Sep 26 15:01:37 UTC 2026
% 0.10/20.62 % CPUTime :
% 0.10/20.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/20.62 % Process 3584515 was started by sandbox on n010,
% 0.10/20.62 % Sat Sep 26 15:01:37 2026
% 0.10/20.62 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/20.62
% 0.10/20.62 % From the command line: assign(max_seconds, 300).
% 0.10/20.63
% 0.10/20.63 % SZS status Unsatisfiable for theBenchmark
% 0.10/20.63
% 0.10/20.63 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/20.63 % Length of proof is 6.
% 0.10/20.63 % Level of proof is 3.
% 0.10/20.63 % Maximum clause weight is 3.000.
% 0.10/20.63 % Given clauses 3.
% 0.10/20.63
% 0.10/20.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------