%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 18:29:41 EDT 2022
% Result : Unsatisfiable 8.76s 8.93s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 13 unt; 13 nHn; 38 RR)
% Number of literals : 90 ( 26 equ; 25 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_17,axiom,
~ gt(X_28,X_28) ).
cnf(axiom_22,axiom,
( int_level(X_t_33) != fifo_length
| p_Full(X_t_33) ) ).
cnf(axiom_23,axiom,
( int_level(X_t_34) = fifo_length
| ~ p_Full(X_t_34) ) ).
cnf(axiom_42,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| gt(fifo_length,int_level(X_t_42))
| p_Wr_error(plus(X_t_42,n1)) ) ).
cnf(axiom_44,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)) = int_level(X_t_42) ) ).
cnf(quest_1,negated_conjecture,
~ p_Rd(t_139) ).
cnf(quest_2,negated_conjecture,
p_Wr(t_139) ).
cnf(quest_3,negated_conjecture,
p_Full(t_139) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(t_139) ).
cnf(quest_5,negated_conjecture,
( ~ p_Full(plus(t_139,n1))
| ~ p_Wr_error(plus(t_139,n1)) ) ).
cnf(refute_0_0,plain,
( int_level(plus(t_139,n1)) != fifo_length
| p_Full(plus(t_139,n1)) ),
inference(subst,[],[axiom_22:[bind(X_t_33,$fot(plus(t_139,n1)))]]) ).
cnf(refute_0_1,plain,
( ~ p_Wr(t_139)
| int_level(plus(t_139,n1)) = int_level(t_139)
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(subst,[],[axiom_44:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_2,plain,
( int_level(plus(t_139,n1)) = int_level(t_139)
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr(t_139) )],[quest_2,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p_Full(t_139)
| int_level(t_139) = fifo_length ),
inference(subst,[],[axiom_23:[bind(X_t_34,$fot(t_139))]]) ).
cnf(refute_0_4,plain,
int_level(t_139) = fifo_length,
inference(resolve,[$cnf( p_Full(t_139) )],[quest_3,refute_0_3]) ).
cnf(refute_0_5,plain,
( int_level(plus(t_139,n1)) != int_level(t_139)
| int_level(t_139) != fifo_length
| int_level(plus(t_139,n1)) = fifo_length ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(plus(t_139,n1)),fifo_length) ),[0],$fot(int_level(t_139))]]) ).
cnf(refute_0_6,plain,
( int_level(plus(t_139,n1)) != int_level(t_139)
| int_level(plus(t_139,n1)) = fifo_length ),
inference(resolve,[$cnf( $equal(int_level(t_139),fifo_length) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( int_level(plus(t_139,n1)) = fifo_length
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),int_level(t_139)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( int_level(t_139) != fifo_length
| ~ gt(fifo_length,int_level(t_139))
| gt(fifo_length,fifo_length) ),
introduced(tautology,[equality,[$cnf( gt(fifo_length,int_level(t_139)) ),[1],$fot(fifo_length)]]) ).
cnf(refute_0_9,plain,
( ~ gt(fifo_length,int_level(t_139))
| gt(fifo_length,fifo_length) ),
inference(resolve,[$cnf( $equal(int_level(t_139),fifo_length) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( int_level(plus(t_139,n1)) = fifo_length
| gt(fifo_length,fifo_length)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,int_level(t_139)) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
~ gt(fifo_length,fifo_length),
inference(subst,[],[axiom_17:[bind(X_28,$fot(fifo_length))]]) ).
cnf(refute_0_12,plain,
( int_level(plus(t_139,n1)) = fifo_length
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,fifo_length) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( int_level(plus(t_139,n1)) = fifo_length
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_12,quest_1]) ).
cnf(refute_0_14,plain,
int_level(plus(t_139,n1)) = fifo_length,
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_13,quest_4]) ).
cnf(refute_0_15,plain,
( fifo_length != fifo_length
| int_level(plus(t_139,n1)) != fifo_length
| int_level(plus(t_139,n1)) = fifo_length ),
introduced(tautology,[equality,[$cnf( $equal(int_level(plus(t_139,n1)),fifo_length) ),[1],$fot(fifo_length)]]) ).
cnf(refute_0_16,plain,
( fifo_length != fifo_length
| int_level(plus(t_139,n1)) = fifo_length ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),fifo_length) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( fifo_length != fifo_length
| p_Full(plus(t_139,n1)) ),
inference(resolve,[$cnf( $equal(int_level(plus(t_139,n1)),fifo_length) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
fifo_length = fifo_length,
introduced(tautology,[refl,[$fot(fifo_length)]]) ).
cnf(refute_0_19,plain,
p_Full(plus(t_139,n1)),
inference(resolve,[$cnf( $equal(fifo_length,fifo_length) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ p_Wr(t_139)
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(subst,[],[axiom_42:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_21,plain,
( gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( p_Wr(t_139) )],[quest_2,refute_0_20]) ).
cnf(refute_0_22,plain,
( gt(fifo_length,fifo_length)
| p_Rd(t_139)
| p_Reset(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( gt(fifo_length,int_level(t_139)) )],[refute_0_21,refute_0_9]) ).
cnf(refute_0_23,plain,
( p_Rd(t_139)
| p_Reset(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( gt(fifo_length,fifo_length) )],[refute_0_22,refute_0_11]) ).
cnf(refute_0_24,plain,
( p_Reset(t_139)
| p_Wr_error(plus(t_139,n1)) ),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_23,quest_1]) ).
cnf(refute_0_25,plain,
p_Wr_error(plus(t_139,n1)),
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_24,quest_4]) ).
cnf(refute_0_26,plain,
~ p_Full(plus(t_139,n1)),
inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[refute_0_25,quest_5]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( p_Full(plus(t_139,n1)) )],[refute_0_19,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n024.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
% 0.14/0.35 % DateTime : Fri Jun 17 08:59:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.76/8.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.76/8.93
% 8.76/8.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.76/8.93
%------------------------------------------------------------------------------