TSTP Solution File: HWV022-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV022-1 : 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 18:29:44 EDT 2022
% Result : Unsatisfiable 94.21s 94.46s
% Output : CNFRefutation 94.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of clauses : 73 ( 26 unt; 19 nHn; 62 RR)
% Number of literals : 146 ( 63 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_2,axiom,
gt(plus(X_1,n1),n0) ).
cnf(axiom_3,axiom,
( ~ gt(X_2,n0)
| gt(X_2,minus(X_2,n1)) ) ).
cnf(axiom_4,axiom,
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_6,axiom,
( ~ def_10(Y_4,X_3)
| ~ gt(X_3,Y_4) ) ).
cnf(axiom_8,axiom,
( ~ gt(Y_12,X_11)
| gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_9,axiom,
( gt(Y_12,X_11)
| ~ gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_18,axiom,
( plus(X_29,n1) != plus(Y_30,n1)
| X_29 = Y_30 ) ).
cnf(axiom_19,axiom,
plus(n0,X_31) = X_31 ).
cnf(axiom_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_35,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1) ) ).
cnf(quest_1,negated_conjecture,
plus(level(t_139),n1) = fifo_length ).
cnf(quest_2,negated_conjecture,
~ p_Rd(t_139) ).
cnf(quest_3,negated_conjecture,
p_Wr(t_139) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(t_139) ).
cnf(quest_5,negated_conjecture,
level(plus(t_139,n1)) != fifo_length ).
cnf(refute_0_0,plain,
( ~ gt(plus(X_43,n1),plus(int_level(t_139),n1))
| gt(X_43,int_level(t_139)) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(int_level(t_139))),bind(Y_12,$fot(X_43))]]) ).
cnf(refute_0_1,plain,
level(t_139) = int_level(t_139),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(t_139))]]) ).
cnf(refute_0_2,plain,
plus(level(t_139),n1) = plus(level(t_139),n1),
introduced(tautology,[refl,[$fot(plus(level(t_139),n1))]]) ).
cnf(refute_0_3,plain,
( level(t_139) != int_level(t_139)
| plus(level(t_139),n1) != plus(level(t_139),n1)
| plus(level(t_139),n1) = plus(int_level(t_139),n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(level(t_139),n1),plus(level(t_139),n1)) ),[1,0],$fot(int_level(t_139))]]) ).
cnf(refute_0_4,plain,
( level(t_139) != int_level(t_139)
| plus(level(t_139),n1) = plus(int_level(t_139),n1) ),
inference(resolve,[$cnf( $equal(plus(level(t_139),n1),plus(level(t_139),n1)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
plus(level(t_139),n1) = plus(int_level(t_139),n1),
inference(resolve,[$cnf( $equal(level(t_139),int_level(t_139)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
( plus(level(t_139),n1) != fifo_length
| plus(level(t_139),n1) != plus(int_level(t_139),n1)
| plus(int_level(t_139),n1) = fifo_length ),
introduced(tautology,[equality,[$cnf( $equal(plus(level(t_139),n1),fifo_length) ),[0],$fot(plus(int_level(t_139),n1))]]) ).
cnf(refute_0_7,plain,
( plus(level(t_139),n1) != fifo_length
| plus(int_level(t_139),n1) = fifo_length ),
inference(resolve,[$cnf( $equal(plus(level(t_139),n1),plus(int_level(t_139),n1)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
plus(int_level(t_139),n1) = fifo_length,
inference(resolve,[$cnf( $equal(plus(level(t_139),n1),fifo_length) )],[quest_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( plus(int_level(t_139),n1) != fifo_length
| ~ gt(plus(X_43,n1),fifo_length)
| gt(plus(X_43,n1),plus(int_level(t_139),n1)) ),
introduced(tautology,[equality,[$cnf( ~ gt(plus(X_43,n1),plus(int_level(t_139),n1)) ),[1],$fot(fifo_length)]]) ).
cnf(refute_0_10,plain,
( ~ gt(plus(X_43,n1),fifo_length)
| gt(plus(X_43,n1),plus(int_level(t_139),n1)) ),
inference(resolve,[$cnf( $equal(plus(int_level(t_139),n1),fifo_length) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ gt(plus(X_43,n1),fifo_length)
| gt(X_43,int_level(t_139)) ),
inference(resolve,[$cnf( gt(plus(X_43,n1),plus(int_level(t_139),n1)) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
( ~ gt(plus(fifo_length,n1),fifo_length)
| gt(fifo_length,int_level(t_139)) ),
inference(subst,[],[refute_0_11:[bind(X_43,$fot(fifo_length))]]) ).
cnf(refute_0_13,plain,
( ~ gt(plus(X_1,n1),n0)
| gt(plus(X_1,n1),minus(plus(X_1,n1),n1)) ),
inference(subst,[],[axiom_3:[bind(X_2,$fot(plus(X_1,n1)))]]) ).
cnf(refute_0_14,plain,
gt(plus(X_1,n1),minus(plus(X_1,n1),n1)),
inference(resolve,[$cnf( gt(plus(X_1,n1),n0) )],[axiom_2,refute_0_13]) ).
cnf(refute_0_15,plain,
( plus(minus(X_3,n1),n1) != plus(X_62,n1)
| minus(X_3,n1) = X_62 ),
inference(subst,[],[axiom_18:[bind(X_29,$fot(minus(X_3,n1))),bind(Y_30,$fot(X_62))]]) ).
cnf(refute_0_16,plain,
( minus(X_3,Y_4) != minus(X_3,Y_4)
| plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(subst,[],[axiom_4:[bind(Z_5,$fot(minus(X_3,Y_4)))]]) ).
cnf(refute_0_17,plain,
minus(X_3,Y_4) = minus(X_3,Y_4),
introduced(tautology,[refl,[$fot(minus(X_3,Y_4))]]) ).
cnf(refute_0_18,plain,
( plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(resolve,[$cnf( $equal(minus(X_3,Y_4),minus(X_3,Y_4)) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
( plus(minus(X_3,n1),n1) = X_3
| def_10(n1,X_3) ),
inference(subst,[],[refute_0_18:[bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_20,plain,
( X_3 != plus(X_62,n1)
| plus(minus(X_3,n1),n1) != X_3
| plus(minus(X_3,n1),n1) = plus(X_62,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) ),[1],$fot(plus(X_62,n1))]]) ).
cnf(refute_0_21,plain,
( X_3 != plus(X_62,n1)
| plus(minus(X_3,n1),n1) = plus(X_62,n1)
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( X_3 != plus(X_62,n1)
| minus(X_3,n1) = X_62
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),plus(X_62,n1)) )],[refute_0_21,refute_0_15]) ).
cnf(refute_0_23,plain,
( plus(X_62,n1) != plus(X_62,n1)
| minus(plus(X_62,n1),n1) = X_62
| def_10(n1,plus(X_62,n1)) ),
inference(subst,[],[refute_0_22:[bind(X_3,$fot(plus(X_62,n1)))]]) ).
cnf(refute_0_24,plain,
plus(X_62,n1) = plus(X_62,n1),
introduced(tautology,[refl,[$fot(plus(X_62,n1))]]) ).
cnf(refute_0_25,plain,
( minus(plus(X_62,n1),n1) = X_62
| def_10(n1,plus(X_62,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_62,n1),plus(X_62,n1)) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( minus(plus(X_1,n1),n1) = X_1
| def_10(n1,plus(X_1,n1)) ),
inference(subst,[],[refute_0_25:[bind(X_62,$fot(X_1))]]) ).
cnf(refute_0_27,plain,
( minus(plus(X_1,n1),n1) != X_1
| ~ gt(plus(X_1,n1),minus(plus(X_1,n1),n1))
| gt(plus(X_1,n1),X_1) ),
introduced(tautology,[equality,[$cnf( gt(plus(X_1,n1),minus(plus(X_1,n1),n1)) ),[1],$fot(X_1)]]) ).
cnf(refute_0_28,plain,
( ~ gt(plus(X_1,n1),minus(plus(X_1,n1),n1))
| def_10(n1,plus(X_1,n1))
| gt(plus(X_1,n1),X_1) ),
inference(resolve,[$cnf( $equal(minus(plus(X_1,n1),n1),X_1) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( def_10(n1,plus(X_1,n1))
| gt(plus(X_1,n1),X_1) ),
inference(resolve,[$cnf( gt(plus(X_1,n1),minus(plus(X_1,n1),n1)) )],[refute_0_14,refute_0_28]) ).
cnf(refute_0_30,plain,
( def_10(n1,plus(fifo_length,n1))
| gt(plus(fifo_length,n1),fifo_length) ),
inference(subst,[],[refute_0_29:[bind(X_1,$fot(fifo_length))]]) ).
cnf(refute_0_31,plain,
( def_10(n1,plus(fifo_length,n1))
| gt(fifo_length,int_level(t_139)) ),
inference(resolve,[$cnf( gt(plus(fifo_length,n1),fifo_length) )],[refute_0_30,refute_0_12]) ).
cnf(refute_0_32,plain,
( ~ def_10(n1,plus(fifo_length,n1))
| ~ gt(plus(fifo_length,n1),n1) ),
inference(subst,[],[axiom_6:[bind(X_3,$fot(plus(fifo_length,n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_33,plain,
gt(plus(int_level(t_139),n1),n0),
inference(subst,[],[axiom_2:[bind(X_1,$fot(int_level(t_139)))]]) ).
cnf(refute_0_34,plain,
( plus(int_level(t_139),n1) != fifo_length
| ~ gt(plus(int_level(t_139),n1),n0)
| gt(fifo_length,n0) ),
introduced(tautology,[equality,[$cnf( gt(plus(int_level(t_139),n1),n0) ),[0],$fot(fifo_length)]]) ).
cnf(refute_0_35,plain,
( ~ gt(plus(int_level(t_139),n1),n0)
| gt(fifo_length,n0) ),
inference(resolve,[$cnf( $equal(plus(int_level(t_139),n1),fifo_length) )],[refute_0_8,refute_0_34]) ).
cnf(refute_0_36,plain,
gt(fifo_length,n0),
inference(resolve,[$cnf( gt(plus(int_level(t_139),n1),n0) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ gt(fifo_length,n0)
| gt(plus(fifo_length,n1),plus(n0,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n0)),bind(Y_12,$fot(fifo_length))]]) ).
cnf(refute_0_38,plain,
gt(plus(fifo_length,n1),plus(n0,n1)),
inference(resolve,[$cnf( gt(fifo_length,n0) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
plus(n0,n1) = n1,
inference(subst,[],[axiom_19:[bind(X_31,$fot(n1))]]) ).
cnf(refute_0_40,plain,
( plus(n0,n1) != n1
| ~ gt(plus(fifo_length,n1),plus(n0,n1))
| gt(plus(fifo_length,n1),n1) ),
introduced(tautology,[equality,[$cnf( gt(plus(fifo_length,n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_41,plain,
( ~ gt(plus(fifo_length,n1),plus(n0,n1))
| gt(plus(fifo_length,n1),n1) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
gt(plus(fifo_length,n1),n1),
inference(resolve,[$cnf( gt(plus(fifo_length,n1),plus(n0,n1)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
~ def_10(n1,plus(fifo_length,n1)),
inference(resolve,[$cnf( gt(plus(fifo_length,n1),n1) )],[refute_0_42,refute_0_32]) ).
cnf(refute_0_44,plain,
gt(fifo_length,int_level(t_139)),
inference(resolve,[$cnf( def_10(n1,plus(fifo_length,n1)) )],[refute_0_31,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ p_Wr(t_139)
| int_level(plus(t_139,n1)) = plus(int_level(t_139),n1)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(subst,[],[axiom_35:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_46,plain,
( ~ p_Wr(t_139)
| int_level(plus(t_139,n1)) = plus(int_level(t_139),n1)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,int_level(t_139)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( int_level(plus(t_139,n1)) != plus(int_level(t_139),n1)
| plus(int_level(t_139),n1) != fifo_length
| int_level(plus(t_139,n1)) = fifo_length ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(t_139,n1)),fifo_length) ),[0],$fot(plus(int_level(t_139),n1))]]) ).
cnf(refute_0_48,plain,
( int_level(plus(t_139,n1)) != plus(int_level(t_139),n1)
| int_level(plus(t_139,n1)) = fifo_length ),
inference(resolve,[$cnf( $equal(plus(int_level(t_139),n1),fifo_length) )],[refute_0_8,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ p_Wr(t_139)
| int_level(plus(t_139,n1)) = fifo_length
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),plus(int_level(t_139),n1)) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
( int_level(plus(t_139,n1)) = fifo_length
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr(t_139) )],[quest_3,refute_0_49]) ).
cnf(refute_0_51,plain,
level(plus(t_139,n1)) = int_level(plus(t_139,n1)),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(plus(t_139,n1)))]]) ).
cnf(refute_0_52,plain,
( int_level(plus(t_139,n1)) != fifo_length
| level(plus(t_139,n1)) != int_level(plus(t_139,n1))
| level(plus(t_139,n1)) = fifo_length ),
introduced(tautology,[equality,[$cnf( $equal(level(plus(t_139,n1)),int_level(plus(t_139,n1))) ),[1],$fot(fifo_length)]]) ).
cnf(refute_0_53,plain,
( int_level(plus(t_139,n1)) != fifo_length
| level(plus(t_139,n1)) = fifo_length ),
inference(resolve,[$cnf( $equal(level(plus(t_139,n1)),int_level(plus(t_139,n1))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
int_level(plus(t_139,n1)) != fifo_length,
inference(resolve,[$cnf( $equal(level(plus(t_139,n1)),fifo_length) )],[refute_0_53,quest_5]) ).
cnf(refute_0_55,plain,
( p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),fifo_length) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
p_Reset(t_139),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_55,quest_2]) ).
cnf(refute_0_57,plain,
$false,
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_56,quest_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV022-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 01:24:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 94.21/94.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 94.21/94.46
% 94.21/94.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 94.21/94.47
%------------------------------------------------------------------------------