%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV913-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 09:09:20 AM UTC 2026
% Result : Unsatisfiable 1.53s 0.64s
% Output : CNFRefutation 1.53s
% 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 : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_equalityE_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(VAR_0,VAR_0,tc_fun(VAR_1,tc_bool)),
file('theBenchmark.p',cls_equalityE_0) ).
cnf(c_376,plain,
c_lessequals(A,A,tc_fun(B,tc_bool)),
inference(clausify,[status(thm)],[cls_equalityE_0]) ).
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_433,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_0,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_496,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2629,plain,
c_Hoare__Mirabelle_Ohoare__derivs(A,A,B),
inference(resolve,[status(thm)],[c_433,c_376]) ).
cnf(c_2630,plain,
$false,
inference(resolve,[status(thm)],[c_2629,c_496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV913-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 15:12:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 169441 was started by sandbox2 on n015,
% 0.10/0.36 % Sat Sep 26 15:12:29 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 1.53/0.64
% 1.53/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.64
% 1.53/0.64 % Proof 1 at 0.21 (+ 0.04) seconds.
% 1.53/0.64 % Length of proof is 5.
% 1.53/0.64 % Level of proof is 2.
% 1.53/0.64 % Maximum clause weight is 49.000.
% 1.53/0.64 % Given clauses 337.
% 1.53/0.64
% 1.53/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------