TSTP Solution File: GEO147-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 05:24:40 EDT 2022
% Result : Unsatisfiable 0.50s 0.67s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 11 unt; 0 nHn; 29 RR)
% Number of literals : 52 ( 6 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(connect_defn_1,axiom,
( ~ connect(A,B,C)
| once(at_the_same_time(at(A,C),at(B,C))) ) ).
cnf(conjunction_at_the_same_time_8,axiom,
( ~ once(at_the_same_time(A,B))
| once(A) ) ).
cnf(conjunction_at_the_same_time_9,axiom,
( ~ once(at_the_same_time(A,B))
| once(B) ) ).
cnf(at_on_trajectory_10,axiom,
( ~ once(at(A,B))
| incident_o(B,trajectory_of(A)) ) ).
cnf(trajectories_are_oriented_curves_12,axiom,
trajectory_of(A) = ax3_sk1(A) ).
cnf(t13_156,negated_conjecture,
connect(sk28,sk29,sk27) ).
cnf(t13_157,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk28))
| ~ incident_o(sk27,trajectory_of(sk29)) ) ).
cnf(refute_0_0,plain,
trajectory_of(sk28) = ax3_sk1(sk28),
inference(subst,[],[trajectories_are_oriented_curves_12:[bind(A,$fot(sk28))]]) ).
cnf(refute_0_1,plain,
( trajectory_of(sk28) != ax3_sk1(sk28)
| ~ incident_o(sk27,ax3_sk1(sk28))
| incident_o(sk27,trajectory_of(sk28)) ),
introduced(tautology,[equality,[$cnf( ~ incident_o(sk27,trajectory_of(sk28)) ),[1],$fot(ax3_sk1(sk28))]]) ).
cnf(refute_0_2,plain,
( ~ incident_o(sk27,ax3_sk1(sk28))
| incident_o(sk27,trajectory_of(sk28)) ),
inference(resolve,[$cnf( $equal(trajectory_of(sk28),ax3_sk1(sk28)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ incident_o(sk27,ax3_sk1(sk28))
| ~ incident_o(sk27,trajectory_of(sk29)) ),
inference(resolve,[$cnf( incident_o(sk27,trajectory_of(sk28)) )],[refute_0_2,t13_157]) ).
cnf(refute_0_4,plain,
trajectory_of(sk29) = ax3_sk1(sk29),
inference(subst,[],[trajectories_are_oriented_curves_12:[bind(A,$fot(sk29))]]) ).
cnf(refute_0_5,plain,
( trajectory_of(sk29) != ax3_sk1(sk29)
| ~ incident_o(sk27,ax3_sk1(sk29))
| incident_o(sk27,trajectory_of(sk29)) ),
introduced(tautology,[equality,[$cnf( ~ incident_o(sk27,trajectory_of(sk29)) ),[1],$fot(ax3_sk1(sk29))]]) ).
cnf(refute_0_6,plain,
( ~ incident_o(sk27,ax3_sk1(sk29))
| incident_o(sk27,trajectory_of(sk29)) ),
inference(resolve,[$cnf( $equal(trajectory_of(sk29),ax3_sk1(sk29)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ incident_o(sk27,ax3_sk1(sk28))
| ~ incident_o(sk27,ax3_sk1(sk29)) ),
inference(resolve,[$cnf( incident_o(sk27,trajectory_of(sk29)) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
( trajectory_of(A) != ax3_sk1(A)
| ~ incident_o(B,trajectory_of(A))
| incident_o(B,ax3_sk1(A)) ),
introduced(tautology,[equality,[$cnf( incident_o(B,trajectory_of(A)) ),[1],$fot(ax3_sk1(A))]]) ).
cnf(refute_0_9,plain,
( ~ incident_o(B,trajectory_of(A))
| incident_o(B,ax3_sk1(A)) ),
inference(resolve,[$cnf( $equal(trajectory_of(A),ax3_sk1(A)) )],[trajectories_are_oriented_curves_12,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ once(at(A,B))
| incident_o(B,ax3_sk1(A)) ),
inference(resolve,[$cnf( incident_o(B,trajectory_of(A)) )],[at_on_trajectory_10,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ once(at(sk29,sk27))
| incident_o(sk27,ax3_sk1(sk29)) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(sk29)),bind(B,$fot(sk27))]]) ).
cnf(refute_0_12,plain,
( ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27)))
| once(at(sk29,sk27)) ),
inference(subst,[],[conjunction_at_the_same_time_9:[bind(A,$fot(at(sk28,sk27))),bind(B,$fot(at(sk29,sk27)))]]) ).
cnf(refute_0_13,plain,
( ~ connect(sk28,sk29,sk27)
| once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) ),
inference(subst,[],[connect_defn_1:[bind(A,$fot(sk28)),bind(B,$fot(sk29)),bind(C,$fot(sk27))]]) ).
cnf(refute_0_14,plain,
once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
inference(resolve,[$cnf( connect(sk28,sk29,sk27) )],[t13_156,refute_0_13]) ).
cnf(refute_0_15,plain,
once(at(sk29,sk27)),
inference(resolve,[$cnf( once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) )],[refute_0_14,refute_0_12]) ).
cnf(refute_0_16,plain,
incident_o(sk27,ax3_sk1(sk29)),
inference(resolve,[$cnf( once(at(sk29,sk27)) )],[refute_0_15,refute_0_11]) ).
cnf(refute_0_17,plain,
~ incident_o(sk27,ax3_sk1(sk28)),
inference(resolve,[$cnf( incident_o(sk27,ax3_sk1(sk29)) )],[refute_0_16,refute_0_7]) ).
cnf(refute_0_18,plain,
( ~ once(at(sk28,sk27))
| incident_o(sk27,ax3_sk1(sk28)) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(sk28)),bind(B,$fot(sk27))]]) ).
cnf(refute_0_19,plain,
( ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27)))
| once(at(sk28,sk27)) ),
inference(subst,[],[conjunction_at_the_same_time_8:[bind(A,$fot(at(sk28,sk27))),bind(B,$fot(at(sk29,sk27)))]]) ).
cnf(refute_0_20,plain,
once(at(sk28,sk27)),
inference(resolve,[$cnf( once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
incident_o(sk27,ax3_sk1(sk28)),
inference(resolve,[$cnf( once(at(sk28,sk27)) )],[refute_0_20,refute_0_18]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( incident_o(sk27,ax3_sk1(sk28)) )],[refute_0_21,refute_0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO147-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 Jun 17 20:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.50/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.67
% 0.50/0.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.50/0.67
%------------------------------------------------------------------------------