TSTP Solution File: COM002-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Fri Jul 15 01:32:24 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 14 unt; 0 nHn; 32 RR)
% Number of literals : 56 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(direct_success,axiom,
( succeeds(Goal_state,Start_state)
| ~ follows(Goal_state,Start_state) ) ).
cnf(transitivity_of_success,axiom,
( succeeds(Goal_state,Start_state)
| ~ succeeds(Goal_state,Intermediate_state)
| ~ succeeds(Intermediate_state,Start_state) ) ).
cnf(goto_success,axiom,
( succeeds(Goal_state,Start_state)
| ~ has(Start_state,goto(Label))
| ~ labels(Label,Goal_state) ) ).
cnf(label_state_3,hypothesis,
labels(loop,p3) ).
cnf(transition_3_to_6,hypothesis,
follows(p6,p3) ).
cnf(transition_6_to_7,hypothesis,
follows(p7,p6) ).
cnf(transition_7_to_8,hypothesis,
follows(p8,p7) ).
cnf(state_8,hypothesis,
has(p8,goto(loop)) ).
cnf(prove_there_is_a_loop_through_p3,negated_conjecture,
~ succeeds(p3,p3) ).
cnf(refute_0_0,plain,
( ~ succeeds(Goal_state,p8)
| ~ succeeds(p8,p3)
| succeeds(Goal_state,p3) ),
inference(subst,[],[transitivity_of_success:[bind(Intermediate_state,$fot(p8)),bind(Start_state,$fot(p3))]]) ).
cnf(refute_0_1,plain,
( ~ follows(p6,p3)
| succeeds(p6,p3) ),
inference(subst,[],[direct_success:[bind(Goal_state,$fot(p6)),bind(Start_state,$fot(p3))]]) ).
cnf(refute_0_2,plain,
succeeds(p6,p3),
inference(resolve,[$cnf( follows(p6,p3) )],[transition_3_to_6,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ follows(p7,p6)
| succeeds(p7,p6) ),
inference(subst,[],[direct_success:[bind(Goal_state,$fot(p7)),bind(Start_state,$fot(p6))]]) ).
cnf(refute_0_4,plain,
succeeds(p7,p6),
inference(resolve,[$cnf( follows(p7,p6) )],[transition_6_to_7,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ succeeds(p6,X_7)
| ~ succeeds(p7,p6)
| succeeds(p7,X_7) ),
inference(subst,[],[transitivity_of_success:[bind(Goal_state,$fot(p7)),bind(Intermediate_state,$fot(p6)),bind(Start_state,$fot(X_7))]]) ).
cnf(refute_0_6,plain,
( ~ succeeds(p6,X_7)
| succeeds(p7,X_7) ),
inference(resolve,[$cnf( succeeds(p7,p6) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ succeeds(p6,p3)
| succeeds(p7,p3) ),
inference(subst,[],[refute_0_6:[bind(X_7,$fot(p3))]]) ).
cnf(refute_0_8,plain,
succeeds(p7,p3),
inference(resolve,[$cnf( succeeds(p6,p3) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ follows(p8,p7)
| succeeds(p8,p7) ),
inference(subst,[],[direct_success:[bind(Goal_state,$fot(p8)),bind(Start_state,$fot(p7))]]) ).
cnf(refute_0_10,plain,
succeeds(p8,p7),
inference(resolve,[$cnf( follows(p8,p7) )],[transition_7_to_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ succeeds(p7,X_7)
| ~ succeeds(p8,p7)
| succeeds(p8,X_7) ),
inference(subst,[],[transitivity_of_success:[bind(Goal_state,$fot(p8)),bind(Intermediate_state,$fot(p7)),bind(Start_state,$fot(X_7))]]) ).
cnf(refute_0_12,plain,
( ~ succeeds(p7,X_7)
| succeeds(p8,X_7) ),
inference(resolve,[$cnf( succeeds(p8,p7) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ succeeds(p7,p3)
| succeeds(p8,p3) ),
inference(subst,[],[refute_0_12:[bind(X_7,$fot(p3))]]) ).
cnf(refute_0_14,plain,
succeeds(p8,p3),
inference(resolve,[$cnf( succeeds(p7,p3) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ succeeds(Goal_state,p8)
| succeeds(Goal_state,p3) ),
inference(resolve,[$cnf( succeeds(p8,p3) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
( ~ succeeds(p3,p8)
| succeeds(p3,p3) ),
inference(subst,[],[refute_0_15:[bind(Goal_state,$fot(p3))]]) ).
cnf(refute_0_17,plain,
( ~ has(p8,goto(loop))
| ~ labels(loop,X_52)
| succeeds(X_52,p8) ),
inference(subst,[],[goto_success:[bind(Goal_state,$fot(X_52)),bind(Label,$fot(loop)),bind(Start_state,$fot(p8))]]) ).
cnf(refute_0_18,plain,
( ~ labels(loop,X_52)
| succeeds(X_52,p8) ),
inference(resolve,[$cnf( has(p8,goto(loop)) )],[state_8,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ labels(loop,p3)
| succeeds(p3,p8) ),
inference(subst,[],[refute_0_18:[bind(X_52,$fot(p3))]]) ).
cnf(refute_0_20,plain,
succeeds(p3,p8),
inference(resolve,[$cnf( labels(loop,p3) )],[label_state_3,refute_0_19]) ).
cnf(refute_0_21,plain,
succeeds(p3,p3),
inference(resolve,[$cnf( succeeds(p3,p8) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( succeeds(p3,p3) )],[refute_0_21,prove_there_is_a_loop_through_p3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.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 : Thu Jun 16 17:50:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------