TSTP Solution File: HWV009-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV009-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 18:29:36 EDT 2022
% Result : Unsatisfiable 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 8 unt; 4 nHn; 22 RR)
% Number of literals : 43 ( 19 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_26,axiom,
( ~ p_Reset(X_t_37)
| int_level(plus(X_t_37,n1)) = n0 ) ).
cnf(axiom_29,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Wr_error(plus(X_t_37,n1)) ) ).
cnf(axiom_30,axiom,
( ~ p_Reset(X_t_37)
| ~ p_Rd_error(plus(X_t_37,n1)) ) ).
cnf(quest_1,negated_conjecture,
p_Reset(t_139) ).
cnf(quest_2,negated_conjecture,
( level(plus(t_139,n1)) != n0
| p_Wr_error(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1)) ) ).
cnf(refute_0_0,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Reset(t_139) ),
inference(subst,[],[axiom_30:[bind(X_t_37,$fot(t_139))]]) ).
cnf(refute_0_1,plain,
( ~ p_Reset(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(subst,[],[axiom_29:[bind(X_t_37,$fot(t_139))]]) ).
cnf(refute_0_2,plain,
level(plus(t_139,n1)) = int_level(plus(t_139,n1)),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(plus(t_139,n1)))]]) ).
cnf(refute_0_3,plain,
( int_level(plus(t_139,n1)) != n0
| level(plus(t_139,n1)) != int_level(plus(t_139,n1))
| level(plus(t_139,n1)) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(level(plus(t_139,n1)),int_level(plus(t_139,n1))) ),[1],$fot(n0)]]) ).
cnf(refute_0_4,plain,
( int_level(plus(t_139,n1)) != n0
| level(plus(t_139,n1)) = n0 ),
inference(resolve,[$cnf( $equal(level(plus(t_139,n1)),int_level(plus(t_139,n1))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( int_level(plus(t_139,n1)) != n0
| p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(level(plus(t_139,n1)),n0) )],[refute_0_4,quest_2]) ).
cnf(refute_0_6,plain,
( ~ p_Reset(t_139)
| int_level(plus(t_139,n1)) = n0 ),
inference(subst,[],[axiom_26:[bind(X_t_37,$fot(t_139))]]) ).
cnf(refute_0_7,plain,
int_level(plus(t_139,n1)) = n0,
inference(resolve,[$cnf( p_Reset(t_139) )],[quest_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( int_level(plus(t_139,n1)) != n0
| n0 != n0
| int_level(plus(t_139,n1)) = n0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(t_139,n1)),n0) ),[0],$fot(n0)]]) ).
cnf(refute_0_9,plain,
( n0 != n0
| int_level(plus(t_139,n1)) = n0 ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),n0) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( n0 != n0
| p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),n0) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
n0 = n0,
introduced(tautology,[refl,[$fot(n0)]]) ).
cnf(refute_0_12,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(n0,n0) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ p_Reset(t_139)
| p_Rd_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[refute_0_12,refute_0_1]) ).
cnf(refute_0_14,plain,
p_Rd_error(plus(t_139,n1)),
inference(resolve,[$cnf( p_Reset(t_139) )],[quest_1,refute_0_13]) ).
cnf(refute_0_15,plain,
~ p_Reset(t_139),
inference(resolve,[$cnf( p_Rd_error(plus(t_139,n1)) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( p_Reset(t_139) )],[quest_1,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HWV009-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 09:11:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41
% 0.21/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.42
%------------------------------------------------------------------------------