%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV866-1 : 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 : n016.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 09:09:15 AM UTC 2026
% Result : Unsatisfiable 0.09s 20.69s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 3 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_single__stateE_0,axiom,
! [VAR_0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(VAR_0) != VAR_0 ),
file('theBenchmark.p',cls_single__stateE_0) ).
cnf(c_19,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A) != A ),
inference(clausify,[status(thm)],[cls_single__stateE_0]) ).
fof(cls_conjecture_0,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_25,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] : VAR_0 = v_s_H,
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_26,plain,
A = v_s_H,
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_27,plain,
v_s_H = A,
inference(copy,[status(thm)],[c_26]) ).
cnf(c_32,plain,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A) != A,
inference(resolve,[status(thm)],[c_25,c_19]) ).
cnf(c_34,plain,
A = v_s_H,
inference(copy,[status(thm)],[c_27]) ).
cnf(c_33,plain,
$false,
inference(resolve,[status(thm)],[c_32,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/20.67 % CPULimit : 300
% 0.09/20.67 % WCLimit : 300
% 0.09/20.67 % DateTime : Sat Sep 26 15:05:35 UTC 2026
% 0.09/20.67 % CPUTime :
% 0.09/20.67 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/20.67 % Process 1537632 was started by sandbox on n006,
% 0.09/20.67 % Sat Sep 26 15:05:35 2026
% 0.09/20.67 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/20.68
% 0.09/20.68 % From the command line: assign(max_seconds, 300).
% 0.09/20.69
% 0.09/20.69 % SZS status Unsatisfiable for theBenchmark
% 0.09/20.69
% 0.09/20.69 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/20.69 % Length of proof is 6.
% 0.09/20.69 % Level of proof is 2.
% 0.09/20.69 % Maximum clause weight is 5.000.
% 0.09/20.69 % Given clauses 0.
% 0.09/20.69
% 0.09/20.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------