TSTP Solution File: MSC015-1.005 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MSC015-1.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Sun Jul 17 22:51:33 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of clauses : 69 ( 34 unt; 0 nHn; 69 RR)
% Number of literals : 104 ( 0 equ; 36 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(init,axiom,
p(s0,s0,s0,s0,s0) ).
cnf(rule1,axiom,
( ~ p(X0,X1,X2,X3,s0)
| p(X0,X1,X2,X3,s1) ) ).
cnf(rule2,axiom,
( ~ p(X0,X1,X2,s0,s1)
| p(X0,X1,X2,s1,s0) ) ).
cnf(rule3,axiom,
( ~ p(X0,X1,s0,s1,s1)
| p(X0,X1,s1,s0,s0) ) ).
cnf(rule4,axiom,
( ~ p(X0,s0,s1,s1,s1)
| p(X0,s1,s0,s0,s0) ) ).
cnf(rule5,axiom,
( ~ p(s0,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0) ) ).
cnf(goal,negated_conjecture,
~ p(s1,s1,s1,s1,s1) ).
cnf(refute_0_0,plain,
( ~ p(s1,s1,s1,s1,s0)
| p(s1,s1,s1,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s1)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_1,plain,
( ~ p(s1,s1,s1,s0,s1)
| p(s1,s1,s1,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s1))]]) ).
cnf(refute_0_2,plain,
( ~ p(s1,s1,s1,s0,s0)
| p(s1,s1,s1,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s1)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_3,plain,
( ~ p(s1,s1,s0,s1,s1)
| p(s1,s1,s1,s0,s0) ),
inference(subst,[],[rule3:[bind(X0,$fot(s1)),bind(X1,$fot(s1))]]) ).
cnf(refute_0_4,plain,
( ~ p(s1,s1,s0,s1,s0)
| p(s1,s1,s0,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s0)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_5,plain,
( ~ p(s1,s1,s0,s0,s1)
| p(s1,s1,s0,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s0))]]) ).
cnf(refute_0_6,plain,
( ~ p(s1,s1,s0,s0,s0)
| p(s1,s1,s0,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s1)),bind(X2,$fot(s0)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_7,plain,
( ~ p(s1,s0,s1,s1,s1)
| p(s1,s1,s0,s0,s0) ),
inference(subst,[],[rule4:[bind(X0,$fot(s1))]]) ).
cnf(refute_0_8,plain,
( ~ p(s1,s0,s1,s1,s0)
| p(s1,s0,s1,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s1)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_9,plain,
( ~ p(s1,s0,s1,s0,s1)
| p(s1,s0,s1,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s1))]]) ).
cnf(refute_0_10,plain,
( ~ p(s1,s0,s1,s0,s0)
| p(s1,s0,s1,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s1)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_11,plain,
( ~ p(s1,s0,s0,s1,s1)
| p(s1,s0,s1,s0,s0) ),
inference(subst,[],[rule3:[bind(X0,$fot(s1)),bind(X1,$fot(s0))]]) ).
cnf(refute_0_12,plain,
( ~ p(s1,s0,s0,s1,s0)
| p(s1,s0,s0,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s0)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_13,plain,
( ~ p(s1,s0,s0,s0,s1)
| p(s1,s0,s0,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s0))]]) ).
cnf(refute_0_14,plain,
( ~ p(s1,s0,s0,s0,s0)
| p(s1,s0,s0,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s1)),bind(X1,$fot(s0)),bind(X2,$fot(s0)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_15,plain,
( ~ p(s0,s1,s1,s1,s0)
| p(s0,s1,s1,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s1)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_16,plain,
( ~ p(s0,s1,s1,s0,s1)
| p(s0,s1,s1,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s1))]]) ).
cnf(refute_0_17,plain,
( ~ p(s0,s1,s1,s0,s0)
| p(s0,s1,s1,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s1)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_18,plain,
( ~ p(s0,s1,s0,s1,s1)
| p(s0,s1,s1,s0,s0) ),
inference(subst,[],[rule3:[bind(X0,$fot(s0)),bind(X1,$fot(s1))]]) ).
cnf(refute_0_19,plain,
( ~ p(s0,s1,s0,s1,s0)
| p(s0,s1,s0,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s0)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_20,plain,
( ~ p(s0,s1,s0,s0,s1)
| p(s0,s1,s0,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s0))]]) ).
cnf(refute_0_21,plain,
( ~ p(s0,s1,s0,s0,s0)
| p(s0,s1,s0,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s1)),bind(X2,$fot(s0)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_22,plain,
( ~ p(s0,s0,s1,s1,s1)
| p(s0,s1,s0,s0,s0) ),
inference(subst,[],[rule4:[bind(X0,$fot(s0))]]) ).
cnf(refute_0_23,plain,
( ~ p(s0,s0,s1,s1,s0)
| p(s0,s0,s1,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s1)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_24,plain,
( ~ p(s0,s0,s1,s0,s1)
| p(s0,s0,s1,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s1))]]) ).
cnf(refute_0_25,plain,
( ~ p(s0,s0,s1,s0,s0)
| p(s0,s0,s1,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s1)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_26,plain,
( ~ p(s0,s0,s0,s1,s1)
| p(s0,s0,s1,s0,s0) ),
inference(subst,[],[rule3:[bind(X0,$fot(s0)),bind(X1,$fot(s0))]]) ).
cnf(refute_0_27,plain,
( ~ p(s0,s0,s0,s1,s0)
| p(s0,s0,s0,s1,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s0)),bind(X3,$fot(s1))]]) ).
cnf(refute_0_28,plain,
( ~ p(s0,s0,s0,s0,s1)
| p(s0,s0,s0,s1,s0) ),
inference(subst,[],[rule2:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s0))]]) ).
cnf(refute_0_29,plain,
( ~ p(s0,s0,s0,s0,s0)
| p(s0,s0,s0,s0,s1) ),
inference(subst,[],[rule1:[bind(X0,$fot(s0)),bind(X1,$fot(s0)),bind(X2,$fot(s0)),bind(X3,$fot(s0))]]) ).
cnf(refute_0_30,plain,
p(s0,s0,s0,s0,s1),
inference(resolve,[$cnf( p(s0,s0,s0,s0,s0) )],[init,refute_0_29]) ).
cnf(refute_0_31,plain,
p(s0,s0,s0,s1,s0),
inference(resolve,[$cnf( p(s0,s0,s0,s0,s1) )],[refute_0_30,refute_0_28]) ).
cnf(refute_0_32,plain,
p(s0,s0,s0,s1,s1),
inference(resolve,[$cnf( p(s0,s0,s0,s1,s0) )],[refute_0_31,refute_0_27]) ).
cnf(refute_0_33,plain,
p(s0,s0,s1,s0,s0),
inference(resolve,[$cnf( p(s0,s0,s0,s1,s1) )],[refute_0_32,refute_0_26]) ).
cnf(refute_0_34,plain,
p(s0,s0,s1,s0,s1),
inference(resolve,[$cnf( p(s0,s0,s1,s0,s0) )],[refute_0_33,refute_0_25]) ).
cnf(refute_0_35,plain,
p(s0,s0,s1,s1,s0),
inference(resolve,[$cnf( p(s0,s0,s1,s0,s1) )],[refute_0_34,refute_0_24]) ).
cnf(refute_0_36,plain,
p(s0,s0,s1,s1,s1),
inference(resolve,[$cnf( p(s0,s0,s1,s1,s0) )],[refute_0_35,refute_0_23]) ).
cnf(refute_0_37,plain,
p(s0,s1,s0,s0,s0),
inference(resolve,[$cnf( p(s0,s0,s1,s1,s1) )],[refute_0_36,refute_0_22]) ).
cnf(refute_0_38,plain,
p(s0,s1,s0,s0,s1),
inference(resolve,[$cnf( p(s0,s1,s0,s0,s0) )],[refute_0_37,refute_0_21]) ).
cnf(refute_0_39,plain,
p(s0,s1,s0,s1,s0),
inference(resolve,[$cnf( p(s0,s1,s0,s0,s1) )],[refute_0_38,refute_0_20]) ).
cnf(refute_0_40,plain,
p(s0,s1,s0,s1,s1),
inference(resolve,[$cnf( p(s0,s1,s0,s1,s0) )],[refute_0_39,refute_0_19]) ).
cnf(refute_0_41,plain,
p(s0,s1,s1,s0,s0),
inference(resolve,[$cnf( p(s0,s1,s0,s1,s1) )],[refute_0_40,refute_0_18]) ).
cnf(refute_0_42,plain,
p(s0,s1,s1,s0,s1),
inference(resolve,[$cnf( p(s0,s1,s1,s0,s0) )],[refute_0_41,refute_0_17]) ).
cnf(refute_0_43,plain,
p(s0,s1,s1,s1,s0),
inference(resolve,[$cnf( p(s0,s1,s1,s0,s1) )],[refute_0_42,refute_0_16]) ).
cnf(refute_0_44,plain,
p(s0,s1,s1,s1,s1),
inference(resolve,[$cnf( p(s0,s1,s1,s1,s0) )],[refute_0_43,refute_0_15]) ).
cnf(refute_0_45,plain,
p(s1,s0,s0,s0,s0),
inference(resolve,[$cnf( p(s0,s1,s1,s1,s1) )],[refute_0_44,rule5]) ).
cnf(refute_0_46,plain,
p(s1,s0,s0,s0,s1),
inference(resolve,[$cnf( p(s1,s0,s0,s0,s0) )],[refute_0_45,refute_0_14]) ).
cnf(refute_0_47,plain,
p(s1,s0,s0,s1,s0),
inference(resolve,[$cnf( p(s1,s0,s0,s0,s1) )],[refute_0_46,refute_0_13]) ).
cnf(refute_0_48,plain,
p(s1,s0,s0,s1,s1),
inference(resolve,[$cnf( p(s1,s0,s0,s1,s0) )],[refute_0_47,refute_0_12]) ).
cnf(refute_0_49,plain,
p(s1,s0,s1,s0,s0),
inference(resolve,[$cnf( p(s1,s0,s0,s1,s1) )],[refute_0_48,refute_0_11]) ).
cnf(refute_0_50,plain,
p(s1,s0,s1,s0,s1),
inference(resolve,[$cnf( p(s1,s0,s1,s0,s0) )],[refute_0_49,refute_0_10]) ).
cnf(refute_0_51,plain,
p(s1,s0,s1,s1,s0),
inference(resolve,[$cnf( p(s1,s0,s1,s0,s1) )],[refute_0_50,refute_0_9]) ).
cnf(refute_0_52,plain,
p(s1,s0,s1,s1,s1),
inference(resolve,[$cnf( p(s1,s0,s1,s1,s0) )],[refute_0_51,refute_0_8]) ).
cnf(refute_0_53,plain,
p(s1,s1,s0,s0,s0),
inference(resolve,[$cnf( p(s1,s0,s1,s1,s1) )],[refute_0_52,refute_0_7]) ).
cnf(refute_0_54,plain,
p(s1,s1,s0,s0,s1),
inference(resolve,[$cnf( p(s1,s1,s0,s0,s0) )],[refute_0_53,refute_0_6]) ).
cnf(refute_0_55,plain,
p(s1,s1,s0,s1,s0),
inference(resolve,[$cnf( p(s1,s1,s0,s0,s1) )],[refute_0_54,refute_0_5]) ).
cnf(refute_0_56,plain,
p(s1,s1,s0,s1,s1),
inference(resolve,[$cnf( p(s1,s1,s0,s1,s0) )],[refute_0_55,refute_0_4]) ).
cnf(refute_0_57,plain,
p(s1,s1,s1,s0,s0),
inference(resolve,[$cnf( p(s1,s1,s0,s1,s1) )],[refute_0_56,refute_0_3]) ).
cnf(refute_0_58,plain,
p(s1,s1,s1,s0,s1),
inference(resolve,[$cnf( p(s1,s1,s1,s0,s0) )],[refute_0_57,refute_0_2]) ).
cnf(refute_0_59,plain,
p(s1,s1,s1,s1,s0),
inference(resolve,[$cnf( p(s1,s1,s1,s0,s1) )],[refute_0_58,refute_0_1]) ).
cnf(refute_0_60,plain,
p(s1,s1,s1,s1,s1),
inference(resolve,[$cnf( p(s1,s1,s1,s1,s0) )],[refute_0_59,refute_0_0]) ).
cnf(refute_0_61,plain,
$false,
inference(resolve,[$cnf( p(s1,s1,s1,s1,s1) )],[refute_0_60,goal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC015-1.005 : TPTP v8.1.0. Released v3.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.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 Jul 1 15:51:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------