TSTP Solution File: HWV019-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV019-1 : 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 18:29:42 EDT 2022
% Result : Unsatisfiable 8.21s 8.41s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 13 unt; 11 nHn; 39 RR)
% Number of literals : 82 ( 3 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_21,axiom,
level(X_t_32) = int_level(X_t_32) ).
cnf(axiom_34,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_51,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1)) ) ).
cnf(quest_1,negated_conjecture,
p_Wr_error(plus(t_139,n1)) ).
cnf(quest_2,negated_conjecture,
p_Wr(t_139) ).
cnf(quest_3,negated_conjecture,
~ p_Reset(t_139) ).
cnf(quest_4,negated_conjecture,
( gt(fifo_length,level(t_139))
| p_Rd(t_139) ) ).
cnf(refute_0_0,plain,
( ~ gt(plus(fifo_length,n1),plus(int_level(t_139),n1))
| gt(fifo_length,int_level(t_139)) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(int_level(t_139))),bind(Y_12,$fot(fifo_length))]]) ).
cnf(refute_0_1,plain,
( ~ gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1))
| gt(plus(fifo_length,n1),plus(int_level(t_139),n1)) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(plus(int_level(t_139),n1))),bind(Y_12,$fot(plus(fifo_length,n1)))]]) ).
cnf(refute_0_2,plain,
( ~ gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1))
| gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1)) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(plus(plus(int_level(t_139),n1),n1))),bind(Y_12,$fot(plus(plus(fifo_length,n1),n1)))]]) ).
cnf(refute_0_3,plain,
( ~ gt(plus(plus(plus(plus(fifo_length,n1),n1),n1),n1),plus(plus(plus(plus(int_level(t_139),n1),n1),n1),n1))
| gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1)) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(plus(plus(plus(int_level(t_139),n1),n1),n1))),bind(Y_12,$fot(plus(plus(plus(fifo_length,n1),n1),n1)))]]) ).
cnf(refute_0_4,plain,
( ~ gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1))
| gt(plus(plus(plus(plus(fifo_length,n1),n1),n1),n1),plus(plus(plus(plus(int_level(t_139),n1),n1),n1),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(plus(plus(plus(int_level(t_139),n1),n1),n1))),bind(Y_12,$fot(plus(plus(plus(fifo_length,n1),n1),n1)))]]) ).
cnf(refute_0_5,plain,
( ~ gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1))
| gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(plus(plus(int_level(t_139),n1),n1))),bind(Y_12,$fot(plus(plus(fifo_length,n1),n1)))]]) ).
cnf(refute_0_6,plain,
( ~ gt(plus(fifo_length,n1),plus(int_level(t_139),n1))
| gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(plus(int_level(t_139),n1))),bind(Y_12,$fot(plus(fifo_length,n1)))]]) ).
cnf(refute_0_7,plain,
level(t_139) = int_level(t_139),
inference(subst,[],[axiom_21:[bind(X_t_32,$fot(t_139))]]) ).
cnf(refute_0_8,plain,
( level(t_139) != int_level(t_139)
| ~ gt(fifo_length,level(t_139))
| gt(fifo_length,int_level(t_139)) ),
introduced(tautology,[equality,[$cnf( gt(fifo_length,level(t_139)) ),[1],$fot(int_level(t_139))]]) ).
cnf(refute_0_9,plain,
( ~ gt(fifo_length,level(t_139))
| gt(fifo_length,int_level(t_139)) ),
inference(resolve,[$cnf( $equal(level(t_139),int_level(t_139)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,level(t_139)) )],[quest_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ gt(fifo_length,int_level(t_139))
| gt(plus(fifo_length,n1),plus(int_level(t_139),n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(int_level(t_139))),bind(Y_12,$fot(fifo_length))]]) ).
cnf(refute_0_12,plain,
( gt(plus(fifo_length,n1),plus(int_level(t_139),n1))
| p_Rd(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,int_level(t_139)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1))
| p_Rd(t_139) ),
inference(resolve,[$cnf( gt(plus(fifo_length,n1),plus(int_level(t_139),n1)) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
( gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1))
| p_Rd(t_139) ),
inference(resolve,[$cnf( gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1)) )],[refute_0_13,refute_0_5]) ).
cnf(refute_0_15,plain,
( gt(plus(plus(plus(plus(fifo_length,n1),n1),n1),n1),plus(plus(plus(plus(int_level(t_139),n1),n1),n1),n1))
| p_Rd(t_139) ),
inference(resolve,[$cnf( gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1)) )],[refute_0_14,refute_0_4]) ).
cnf(refute_0_16,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139) ),
inference(subst,[],[axiom_51:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_17,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[quest_1,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr(t_139) )],[quest_2,refute_0_17]) ).
cnf(refute_0_19,plain,
~ p_Rd(t_139),
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_18,quest_3]) ).
cnf(refute_0_20,plain,
gt(plus(plus(plus(plus(fifo_length,n1),n1),n1),n1),plus(plus(plus(plus(int_level(t_139),n1),n1),n1),n1)),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1)),
inference(resolve,[$cnf( gt(plus(plus(plus(plus(fifo_length,n1),n1),n1),n1),plus(plus(plus(plus(int_level(t_139),n1),n1),n1),n1)) )],[refute_0_20,refute_0_3]) ).
cnf(refute_0_22,plain,
gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1)),
inference(resolve,[$cnf( gt(plus(plus(plus(fifo_length,n1),n1),n1),plus(plus(plus(int_level(t_139),n1),n1),n1)) )],[refute_0_21,refute_0_2]) ).
cnf(refute_0_23,plain,
gt(plus(fifo_length,n1),plus(int_level(t_139),n1)),
inference(resolve,[$cnf( gt(plus(plus(fifo_length,n1),n1),plus(plus(int_level(t_139),n1),n1)) )],[refute_0_22,refute_0_1]) ).
cnf(refute_0_24,plain,
gt(fifo_length,int_level(t_139)),
inference(resolve,[$cnf( gt(plus(fifo_length,n1),plus(int_level(t_139),n1)) )],[refute_0_23,refute_0_0]) ).
cnf(refute_0_25,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ p_Wr(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(subst,[],[axiom_34:[bind(X_t_42,$fot(t_139))]]) ).
cnf(refute_0_26,plain,
( ~ p_Wr(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( gt(fifo_length,int_level(t_139)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr(t_139) )],[quest_2,refute_0_26]) ).
cnf(refute_0_28,plain,
( p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Wr_error(plus(t_139,n1)) )],[quest_1,refute_0_27]) ).
cnf(refute_0_29,plain,
p_Reset(t_139),
inference(resolve,[$cnf( p_Rd(t_139) )],[refute_0_28,refute_0_19]) ).
cnf(refute_0_30,plain,
$false,
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_29,quest_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV019-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 01:18:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.21/8.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.21/8.41
% 8.21/8.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.25/8.41
%------------------------------------------------------------------------------