TSTP Solution File: HWV027-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV027-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 18:29:47 EDT 2022
% Result : Unsatisfiable 0.92s 1.15s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 11 unt; 6 nHn; 21 RR)
% Number of literals : 48 ( 26 equ; 16 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_82,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ).
cnf(quest_1,negated_conjecture,
~ p_Wr(t_139) ).
cnf(quest_2,negated_conjecture,
~ p_Rd(t_139) ).
cnf(quest_3,negated_conjecture,
~ p_Reset(t_139) ).
cnf(quest_4,negated_conjecture,
level(t_139) != level(plus(t_139,n1)) ).
cnf(refute_0_0,plain,
level(t_139) = int_level(t_139),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(t_139))]]) ).
cnf(refute_0_1,plain,
( int_level(t_139) != level(plus(t_139,n1))
| level(t_139) != int_level(t_139)
| level(t_139) = level(plus(t_139,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(level(t_139),int_level(t_139)) ),[1],$fot(level(plus(t_139,n1)))]]) ).
cnf(refute_0_2,plain,
( int_level(t_139) != level(plus(t_139,n1))
| level(t_139) = level(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(level(t_139),int_level(t_139)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
level(plus(t_139,n1)) = int_level(plus(t_139,n1)),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(plus(t_139,n1)))]]) ).
cnf(refute_0_4,plain,
( int_level(t_139) != int_level(plus(t_139,n1))
| level(plus(t_139,n1)) != int_level(plus(t_139,n1))
| int_level(t_139) = level(plus(t_139,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(t_139),level(plus(t_139,n1))) ),[1],$fot(int_level(plus(t_139,n1)))]]) ).
cnf(refute_0_5,plain,
( int_level(t_139) != int_level(plus(t_139,n1))
| int_level(t_139) = level(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(level(plus(t_139,n1)),int_level(plus(t_139,n1))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( int_level(t_139) != int_level(plus(t_139,n1))
| level(t_139) = level(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(int_level(t_139),level(plus(t_139,n1))) )],[refute_0_5,refute_0_2]) ).
cnf(refute_0_7,plain,
int_level(t_139) != int_level(plus(t_139,n1)),
inference(resolve,[$cnf( $equal(level(t_139),level(plus(t_139,n1))) )],[refute_0_6,quest_4]) ).
cnf(refute_0_8,plain,
( int_level(plus(t_139,n1)) = int_level(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(subst,[],[axiom_82:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_9,plain,
( int_level(plus(t_139,n1)) != int_level(t_139)
| int_level(t_139) != int_level(t_139)
| int_level(t_139) = int_level(plus(t_139,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(t_139),int_level(plus(t_139,n1))) ),[1],$fot(int_level(t_139))]]) ).
cnf(refute_0_10,plain,
( int_level(t_139) != int_level(t_139)
| int_level(t_139) = int_level(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),int_level(t_139)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( int_level(t_139) != int_level(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( $equal(int_level(t_139),int_level(plus(t_139,n1))) )],[refute_0_10,refute_0_7]) ).
cnf(refute_0_12,plain,
int_level(t_139) = int_level(t_139),
introduced(tautology,[refl,[$fot(int_level(t_139))]]) ).
cnf(refute_0_13,plain,
( p_Rd(t_139)
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( $equal(int_level(t_139),int_level(t_139)) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
( p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_13,quest_2]) ).
cnf(refute_0_15,plain,
p_Wr(t_139),
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_14,quest_3]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( p_Wr(t_139) )],[refute_0_15,quest_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HWV027-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 08:41:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.15
% 0.92/1.15 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.92/1.15
%------------------------------------------------------------------------------