%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV910-1 : 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 : n012.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 09:09:19 AM UTC 2026
% Result : Unsatisfiable 0.12s 10.67s
% Output : CNFRefutation 0.12s
% 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 : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 12 ( 5 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_falseE_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : c_Hoare__Mirabelle_Ohoare__derivs(VAR_0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(VAR_1)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),VAR_1),VAR_2,VAR_3,VAR_1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(VAR_1),tc_bool))),VAR_1),
file('theBenchmark.p',cls_falseE_0) ).
cnf(c_419,plain,
c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B),
inference(clausify,[status(thm)],[cls_falseE_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0,VAR_1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(VAR_0,v_c,VAR_1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_497,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_498,plain,
$false,
inference(resolve,[status(thm)],[c_497,c_419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/10.56 % Computer : n012.cluster.edu
% 0.07/10.56 % Model : x86_64 x86_64
% 0.07/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/10.56 % Memory : 8046.5625MB
% 0.07/10.56 % OS : Linux 6.8.0-71-generic
% 0.07/10.56 % CPULimit : 300
% 0.07/10.56 % WCLimit : 300
% 0.07/10.56 % DateTime : Sat Sep 26 15:08:46 UTC 2026
% 0.07/10.56 % CPUTime :
% 0.07/10.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/10.57 % Process 889741 was started by sandbox2 on n012,
% 0.07/10.57 % Sat Sep 26 15:08:46 2026
% 0.07/10.57 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.07/10.58
% 0.07/10.58 % From the command line: assign(max_seconds, 300).
% 0.12/10.67
% 0.12/10.67 % SZS status Unsatisfiable for theBenchmark
% 0.12/10.67
% 0.12/10.67 % Proof 1 at 0.07 (+ 0.01) seconds.
% 0.12/10.67 % Length of proof is 3.
% 0.12/10.67 % Level of proof is 1.
% 0.12/10.67 % Maximum clause weight is 56.000.
% 0.12/10.67 % Given clauses 0.
% 0.12/10.67
% 0.12/10.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------