%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:34:22 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.78s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 133 ( 38 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_83,axiom,
! [VAR_0,VAR_1] :
( p_Data_out(VAR_1,VAR_0)
| ~ p_Data_out(VAR_1,plus(VAR_0,n1))
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_83) ).
cnf(c_24,plain,
( p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_83]) ).
fof(axiom_84,axiom,
! [VAR_0,VAR_1] :
( ~ p_Data_out(VAR_1,VAR_0)
| p_Data_out(VAR_1,plus(VAR_0,n1))
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_84) ).
cnf(c_25,plain,
( ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_84]) ).
fof(axiom_48,axiom,
! [VAR_0,VAR_1] :
( ~ p_Data_out(VAR_1,VAR_0)
| p_Data_out(VAR_1,plus(VAR_0,n1))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_48) ).
cnf(c_51,plain,
( ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_48]) ).
fof(axiom_47,axiom,
! [VAR_0,VAR_1] :
( p_Data_out(VAR_1,VAR_0)
| ~ p_Data_out(VAR_1,plus(VAR_0,n1))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_47) ).
cnf(c_52,plain,
( p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_47]) ).
fof(quest_4,axiom,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,x_140) ),
file('theBenchmark.p',quest_4) ).
cnf(c_117,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,x_140) ),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
( ~ p_Data_out(x_139,plus(x_140,n1))
| ~ p_Data_out(x_139,x_140) ),
file('theBenchmark.p',quest_3) ).
cnf(c_118,plain,
( ~ p_Data_out(x_139,plus(x_140,n1))
| ~ p_Data_out(x_139,x_140) ),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_2,axiom,
~ p_Reset(x_140),
file('theBenchmark.p',quest_2) ).
cnf(c_119,plain,
~ p_Reset(x_140),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
~ p_Rd(x_140),
file('theBenchmark.p',quest_1) ).
cnf(c_120,plain,
~ p_Rd(x_140),
inference(clausify,[status(thm)],[quest_1]) ).
cnf(c_416,plain,
( ~ p_Data_out(C,A)
| p_Data_out(C,plus(A,n1))
| p_Rd(A)
| p_Reset(A)
| ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(resolve,[status(thm)],[c_51,c_25]) ).
cnf(c_768,plain,
( ~ p_Data_out(C,A)
| p_Data_out(C,plus(A,n1))
| p_Rd(A)
| ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_416]) ).
cnf(c_417,plain,
( ~ p_Data_out(C,A)
| p_Data_out(C,plus(A,n1))
| ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_768]) ).
cnf(c_424,plain,
( p_Data_out(C,A)
| ~ p_Data_out(C,plus(A,n1))
| p_Rd(A)
| p_Reset(A)
| p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(resolve,[status(thm)],[c_52,c_24]) ).
cnf(c_769,plain,
( p_Data_out(C,A)
| ~ p_Data_out(C,plus(A,n1))
| p_Rd(A)
| p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_424]) ).
cnf(c_425,plain,
( p_Data_out(C,A)
| ~ p_Data_out(C,plus(A,n1))
| p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_769]) ).
cnf(c_770,plain,
( ~ p_Data_out(B,A)
| ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(factor,[status(thm)],[c_417]) ).
cnf(c_540,plain,
( ~ p_Data_out(B,A)
| p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_770]) ).
cnf(c_771,plain,
( p_Data_out(B,A)
| p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(factor,[status(thm)],[c_425]) ).
cnf(c_541,plain,
( p_Data_out(B,A)
| ~ p_Data_out(B,plus(A,n1))
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_771]) ).
cnf(c_772,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,plus(x_140,n1))
| p_Rd(x_140)
| p_Reset(x_140) ),
inference(resolve,[status(thm)],[c_540,c_117]) ).
cnf(c_773,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Rd(x_140)
| p_Reset(x_140) ),
inference(copy,[status(thm)],[c_772]) ).
cnf(c_774,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Rd(x_140) ),
inference(resolve,[status(thm)],[c_119,c_773]) ).
cnf(c_667,plain,
p_Data_out(x_139,plus(x_140,n1)),
inference(resolve,[status(thm)],[c_120,c_774]) ).
cnf(c_668,plain,
~ p_Data_out(x_139,x_140),
inference(resolve,[status(thm)],[c_667,c_118]) ).
cnf(c_775,plain,
( p_Data_out(x_139,x_140)
| p_Rd(x_140)
| p_Reset(x_140) ),
inference(resolve,[status(thm)],[c_667,c_541]) ).
cnf(c_776,plain,
( p_Data_out(x_139,x_140)
| p_Rd(x_140) ),
inference(resolve,[status(thm)],[c_119,c_775]) ).
cnf(c_777,plain,
p_Data_out(x_139,x_140),
inference(resolve,[status(thm)],[c_120,c_776]) ).
cnf(c_767,plain,
$false,
inference(resolve,[status(thm)],[c_668,c_777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.61 % Computer : n003.cluster.edu
% 0.20/0.61 % Model : x86_64 x86_64
% 0.20/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.61 % Memory : 8046.5625MB
% 0.20/0.61 % OS : Linux 6.8.0-71-generic
% 0.20/0.61 % CPULimit : 300
% 0.20/0.61 % WCLimit : 300
% 0.20/0.61 % DateTime : Fri Sep 25 16:03:53 UTC 2026
% 0.20/0.61 % CPUTime :
% 0.20/0.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.62 % Process 590025 was started by sandbox2 on n003,
% 0.20/0.62 % Fri Sep 25 16:03:53 2026
% 0.20/0.62 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.63
% 0.20/0.63 % From the command line: assign(max_seconds, 300).
% 0.23/0.78
% 0.23/0.78 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.78
% 0.23/0.78 % Proof 1 at 0.13 (+ 0.02) seconds.
% 0.23/0.78 % Length of proof is 17.
% 0.23/0.78 % Level of proof is 6.
% 0.23/0.78 % Maximum clause weight is 30.000.
% 0.23/0.78 % Given clauses 118.
% 0.23/0.78
% 0.23/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------