%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV889-1 : 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 : n009.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 09:09:17 AM UTC 2026
% Result : Unsatisfiable 2.89s 0.85s
% Output : CNFRefutation 2.89s
% 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 : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_asm_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_lessequals(VAR_1,VAR_0,tc_fun(tc_Hoare__Mirabelle_Otriple(VAR_2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_asm_0) ).
cnf(c_723,plain,
( ~ c_lessequals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(A,B,C) ),
inference(clausify,[status(thm)],[cls_asm_0]) ).
fof(cls_conjecture_3,axiom,
c_lessequals(v_ts,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_728,plain,
c_lessequals(v_ts,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_4,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_729,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
cnf(c_2025,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
inference(resolve,[status(thm)],[c_728,c_723]) ).
cnf(c_2024,plain,
$false,
inference(resolve,[status(thm)],[c_729,c_2025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV889-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 15:07:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.39 % Process 448965 was started by sandbox on n009,
% 0.13/0.39 % Sat Sep 26 15:07:45 2026
% 0.13/0.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.41
% 0.13/0.41 % From the command line: assign(max_seconds, 300).
% 2.89/0.85
% 2.89/0.85 % SZS status Unsatisfiable for theBenchmark
% 2.89/0.85
% 2.89/0.85 % Proof 1 at 0.36 (+ 0.06) seconds.
% 2.89/0.85 % Length of proof is 4.
% 2.89/0.85 % Level of proof is 1.
% 2.89/0.85 % Maximum clause weight is 11.000.
% 2.89/0.85 % Given clauses 435.
% 2.89/0.85
% 2.89/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------