%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO081-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 05:24:07 EDT 2022
% Result : Unsatisfiable 0.97s 1.14s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 5 unt; 6 nHn; 15 RR)
% Number of literals : 38 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ) ).
cnf(part_of_defn_3,axiom,
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ) ).
cnf(part_of_transitivity_67,negated_conjecture,
part_of(sk14,sk15) ).
cnf(part_of_transitivity_68,negated_conjecture,
part_of(sk15,sk16) ).
cnf(part_of_transitivity_69,negated_conjecture,
~ part_of(sk14,sk16) ).
cnf(refute_0_0,plain,
( ~ incident_c(ax0_sk1(sk14,sk16),sk16)
| part_of(sk14,sk16) ),
inference(subst,[],[part_of_defn_3:[bind(A,$fot(sk14)),bind(B,$fot(sk16))]]) ).
cnf(refute_0_1,plain,
( ~ incident_c(X_496,sk15)
| ~ part_of(sk15,sk16)
| incident_c(X_496,sk16) ),
inference(subst,[],[part_of_defn_1:[bind(A,$fot(sk15)),bind(B,$fot(sk16)),bind(C,$fot(X_496))]]) ).
cnf(refute_0_2,plain,
( ~ incident_c(X_496,sk15)
| incident_c(X_496,sk16) ),
inference(resolve,[$cnf( part_of(sk15,sk16) )],[part_of_transitivity_68,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ incident_c(ax0_sk1(sk14,X_575),sk15)
| incident_c(ax0_sk1(sk14,X_575),sk16) ),
inference(subst,[],[refute_0_2:[bind(X_496,$fot(ax0_sk1(sk14,X_575)))]]) ).
cnf(refute_0_4,plain,
( incident_c(ax0_sk1(sk14,B),sk14)
| part_of(sk14,B) ),
inference(subst,[],[part_of_defn_2:[bind(A,$fot(sk14))]]) ).
cnf(refute_0_5,plain,
( ~ incident_c(X_496,sk14)
| ~ part_of(sk14,sk15)
| incident_c(X_496,sk15) ),
inference(subst,[],[part_of_defn_1:[bind(A,$fot(sk14)),bind(B,$fot(sk15)),bind(C,$fot(X_496))]]) ).
cnf(refute_0_6,plain,
( ~ incident_c(X_496,sk14)
| incident_c(X_496,sk15) ),
inference(resolve,[$cnf( part_of(sk14,sk15) )],[part_of_transitivity_67,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ incident_c(ax0_sk1(sk14,B),sk14)
| incident_c(ax0_sk1(sk14,B),sk15) ),
inference(subst,[],[refute_0_6:[bind(X_496,$fot(ax0_sk1(sk14,B)))]]) ).
cnf(refute_0_8,plain,
( incident_c(ax0_sk1(sk14,B),sk15)
| part_of(sk14,B) ),
inference(resolve,[$cnf( incident_c(ax0_sk1(sk14,B),sk14) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( incident_c(ax0_sk1(sk14,X_575),sk15)
| part_of(sk14,X_575) ),
inference(subst,[],[refute_0_8:[bind(B,$fot(X_575))]]) ).
cnf(refute_0_10,plain,
( incident_c(ax0_sk1(sk14,X_575),sk16)
| part_of(sk14,X_575) ),
inference(resolve,[$cnf( incident_c(ax0_sk1(sk14,X_575),sk15) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
( incident_c(ax0_sk1(sk14,sk16),sk16)
| part_of(sk14,sk16) ),
inference(subst,[],[refute_0_10:[bind(X_575,$fot(sk16))]]) ).
cnf(refute_0_12,plain,
part_of(sk14,sk16),
inference(resolve,[$cnf( incident_c(ax0_sk1(sk14,sk16),sk16) )],[refute_0_11,refute_0_0]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( part_of(sk14,sk16) )],[refute_0_12,part_of_transitivity_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO081-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.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 : Sat Jun 18 00:31:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.97/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.14
% 0.97/1.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.97/1.14
%------------------------------------------------------------------------------