%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV900-1 : 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 : n007.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 09:09:18 AM UTC 2026
% Result : Unsatisfiable 0.14s 10.69s
% Output : CNFRefutation 0.14s
% 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 : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-5 aty)
% Number of variables : 4 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_3,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_219,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_empty_0,axiom,
! [VAR_0,VAR_1] : c_Hoare__Mirabelle_Ohoare__derivs(VAR_0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(VAR_1),tc_bool)),VAR_1),
file('theBenchmark.p',cls_empty_0) ).
cnf(c_232,plain,
c_Hoare__Mirabelle_Ohoare__derivs(A,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool)),B),
inference(clausify,[status(thm)],[cls_empty_0]) ).
cnf(c_233,plain,
$false,
inference(resolve,[status(thm)],[c_232,c_219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV900-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.57 % Computer : n007.cluster.edu
% 0.10/10.57 % Model : x86_64 x86_64
% 0.10/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.57 % Memory : 8046.5625MB
% 0.10/10.57 % OS : Linux 6.8.0-71-generic
% 0.10/10.57 % CPULimit : 300
% 0.10/10.57 % WCLimit : 300
% 0.10/10.57 % DateTime : Sat Sep 26 15:06:19 UTC 2026
% 0.10/10.57 % CPUTime :
% 0.10/10.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.57 % Process 4031920 was started by sandbox on n007,
% 0.10/10.57 % Sat Sep 26 15:06:19 2026
% 0.10/10.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/10.60
% 0.14/10.60 % From the command line: assign(max_seconds, 300).
% 0.14/10.69
% 0.14/10.69 % SZS status Unsatisfiable for theBenchmark
% 0.14/10.69
% 0.14/10.69 % Proof 1 at 0.07 (+ 0.00) seconds.
% 0.14/10.69 % Length of proof is 3.
% 0.14/10.69 % Level of proof is 1.
% 0.14/10.69 % Maximum clause weight is 42.000.
% 0.14/10.69 % Given clauses 0.
% 0.14/10.69
% 0.14/10.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------