%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV817-1 : 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 : n005.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 09:09:10 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 5 ( 4 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_state__not__singleton__def__raw_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
file('theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
cnf(c_3,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
inference(clausify,[status(thm)],[cls_state__not__singleton__def__raw_0]) ).
cnf(c_4,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 ),
inference(copy,[status(thm)],[c_3]) ).
fof(cls_conjecture_0,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_8,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] : VAR_0 = v_x,
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_9,plain,
A = v_x,
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_10,plain,
v_x = A,
inference(copy,[status(thm)],[c_9]) ).
cnf(c_12,plain,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,
inference(resolve,[status(thm)],[c_8,c_4]) ).
cnf(c_13,plain,
A = B,
inference(paramod,[status(thm)],[c_10,c_10]) ).
cnf(c_14,plain,
$false,
inference(resolve,[status(thm)],[c_13,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV817-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 15:00:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2410948 was started by sandbox on n005,
% 0.09/0.36 % Sat Sep 26 15:00:16 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.36
% 0.13/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.37 % Length of proof is 8.
% 0.13/0.37 % Level of proof is 3.
% 0.13/0.37 % Maximum clause weight is 4.000.
% 0.13/0.37 % Given clauses 3.
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------