%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PRO001+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 : Mon Jul 18 17:53:10 EDT 2022
% Result : Theorem 55.62s 55.86s
% Output : Refutation 55.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 28
% Syntax : Number of clauses : 65 ( 35 unt; 8 nHn; 65 RR)
% Number of literals : 115 ( 12 equ; 52 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-5 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-5 aty)
% Number of variables : 89 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ activity_occurrence(X)
| occurrence_of(X,'SKOLEMAAAP1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(5,axiom,
( ~ occurrence_of(X,Y)
| ~ occurrence_of(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(37,axiom,
( ~ next_subocc(X,Y,Z)
| ~ min_precedes(X,U,Z)
| ~ min_precedes(U,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
cnf(44,axiom,
( ~ subactivity_occurrence(X,Y)
| activity_occurrence(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
cnf(46,axiom,
( ~ min_precedes(X,Y,Z)
| occurrence_of('SKOLEMAAAP10'(Z,X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(47,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(X,'SKOLEMAAAP10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(48,axiom,
( ~ min_precedes(X,Y,Z)
| subactivity_occurrence(Y,'SKOLEMAAAP10'(Z,X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
cnf(51,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| root('SKOLEMAAAP12'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
cnf(52,axiom,
( ~ occurrence_of(X,Y)
| atomic(Y)
| subactivity_occurrence('SKOLEMAAAP12'(Y,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
cnf(62,axiom,
( root_occ(X,Y)
| ~ occurrence_of(Y,Z)
| ~ subactivity_occurrence(X,Y)
| ~ root(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
cnf(67,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ root_occ(U,X)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
cnf(82,axiom,
( ~ occurrence_of(X,Y)
| ~ root_occ(Z,X)
| ~ leaf_occ(U,X)
| ~ subactivity_occurrence(V,X)
| ~ min_precedes(Z,V,Y)
| V = U
| min_precedes(V,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
cnf(84,axiom,
( ~ occurrence_of(X,tptp0)
| root_occ('SKOLEMAAAP17'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(85,axiom,
( ~ occurrence_of(X,tptp0)
| occurrence_of('SKOLEMAAAP18'(X),tptp3)
| occurrence_of('SKOLEMAAAP18'(X),tptp2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(86,axiom,
( ~ occurrence_of(X,tptp0)
| leaf_occ('SKOLEMAAAP18'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(87,axiom,
( ~ occurrence_of(X,tptp0)
| next_subocc('SKOLEMAAAP17'(X),'SKOLEMAAAP18'(X),tptp0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
cnf(105,axiom,
( ~ send_message(X,Y,Z,U,V)
| X != tptp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
cnf(106,axiom,
( ~ send_message(X,Y,Z,U,V)
| X != tptp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_63) ).
cnf(107,axiom,
( ~ send_message(X,Y,Z,U,V)
| ~ occurrence_of(W,X)
| min_precedes(U,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_64) ).
cnf(109,axiom,
( ~ transmit_message(X,Y,Z,U,V)
| ~ atomic(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_65) ).
cnf(114,axiom,
( ~ transmit_message(X,Y,Z,U,V)
| ~ occurrence_of(W,X)
| send_message('SKOLEMAAAP19'(Y,Z,U,V,W),Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_68) ).
cnf(115,axiom,
( ~ transmit_message(X,Y,Z,U,V)
| ~ occurrence_of(W,X)
| occurrence_of('SKOLEMAAAP20'(Y,Z,U,V,W),'SKOLEMAAAP19'(Y,Z,U,V,W)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_68) ).
cnf(116,axiom,
( ~ transmit_message(X,Y,Z,U,V)
| ~ occurrence_of(W,X)
| root_occ('SKOLEMAAAP20'(Y,Z,U,V,W),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_68) ).
cnf(120,axiom,
( ~ tptp1(X,Y,Z)
| root(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_69) ).
cnf(121,axiom,
( ~ tptp1(X,Y,Z)
| ~ occurrence_of(U,X)
| transmit_message('SKOLEMAAAP21'(Z,Y,U),'SKOLEMAAAP22'(Z,Y,U),'SKOLEMAAAP23'(Z,Y,U),Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_70) ).
cnf(122,axiom,
( ~ tptp1(X,Y,Z)
| ~ occurrence_of(U,X)
| occurrence_of('SKOLEMAAAP24'(Z,Y,U),'SKOLEMAAAP21'(Z,Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_70) ).
cnf(125,negated_conjecture,
tptp1('SKOLEMAAAP25',tptp0,'SKOLEMAAAP26'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(126,negated_conjecture,
occurrence_of('SKOLEMAAAP27','SKOLEMAAAP25'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(143,plain,
root('SKOLEMAAAP26',tptp0),
inference('HYPERRESOLVE',[status(thm)],[120,125]) ).
cnf(156,plain,
occurrence_of('SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('HYPERRESOLVE',[status(thm)],[122,125,126]) ).
cnf(157,plain,
transmit_message('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0),
inference('HYPERRESOLVE',[status(thm)],[121,125,126]) ).
cnf(289,plain,
( atomic('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))
| subactivity_occurrence('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) ),
inference('HYPERRESOLVE',[status(thm)],[52,156]) ).
cnf(290,plain,
( atomic('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))
| root('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) ),
inference('HYPERRESOLVE',[status(thm)],[51,156]) ).
cnf(880,plain,
~ atomic('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('UR-RESOLVE',[status(thm)],[109,157]) ).
cnf(882,plain,
subactivity_occurrence('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('REWRITE',[status(thm)],[289,880]) ).
cnf(883,plain,
root('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('REWRITE',[status(thm)],[290,880]) ).
cnf(887,plain,
root_occ('SKOLEMAAAP20'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('HYPERRESOLVE',[status(thm)],[116,157,156]) ).
cnf(888,plain,
send_message('SKOLEMAAAP19'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0),
inference('HYPERRESOLVE',[status(thm)],[114,157,156]) ).
cnf(889,plain,
occurrence_of('SKOLEMAAAP20'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP19'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),
inference('HYPERRESOLVE',[status(thm)],[115,157,156]) ).
cnf(1132,plain,
activity_occurrence('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),
inference('HYPERRESOLVE',[status(thm)],[44,882]) ).
cnf(1135,plain,
occurrence_of('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP1'('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[4,1132]) ).
cnf(1137,plain,
root_occ('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('HYPERRESOLVE',[status(thm)],[62,883,156,882]) ).
cnf(2167,plain,
'SKOLEMAAAP20'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) = 'SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),
inference('HYPERRESOLVE',[status(thm)],[67,887,156,1137]) ).
cnf(2168,plain,
occurrence_of('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP19'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),
inference('REWRITE',[status(thm)],[889,2167,theory(equality)]) ).
cnf(3367,plain,
'SKOLEMAAAP19'('SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0,'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) = 'SKOLEMAAAP1'('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),
inference('HYPERRESOLVE',[status(thm)],[5,2168,1135]) ).
cnf(3368,plain,
send_message('SKOLEMAAAP1'('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),'SKOLEMAAAP22'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP23'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP26',tptp0),
inference('REWRITE',[status(thm)],[888,3367,theory(equality)]) ).
cnf(3370,plain,
'SKOLEMAAAP1'('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))) != tptp2,
inference('UR-RESOLVE',[status(thm)],[106,3368]) ).
cnf(3371,plain,
'SKOLEMAAAP1'('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))) != tptp3,
inference('UR-RESOLVE',[status(thm)],[105,3368]) ).
cnf(3373,plain,
min_precedes('SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),tptp0),
inference('HYPERRESOLVE',[status(thm)],[107,3368,1135]) ).
cnf(3374,plain,
~ occurrence_of('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),tptp2),
inference('UR-RESOLVE',[status(thm)],[5,3370,1135]) ).
cnf(3375,plain,
~ occurrence_of('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),tptp3),
inference('UR-RESOLVE',[status(thm)],[5,3371,1135]) ).
cnf(3385,plain,
subactivity_occurrence('SKOLEMAAAP26','SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[47,3373]) ).
cnf(3386,plain,
occurrence_of('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[46,3373]) ).
cnf(3395,plain,
subactivity_occurrence('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[48,3373]) ).
cnf(3439,plain,
root_occ('SKOLEMAAAP26','SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[62,3386,3385,143]) ).
cnf(3448,plain,
leaf_occ('SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),'SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[86,3386]) ).
cnf(3449,plain,
root_occ('SKOLEMAAAP17'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),'SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('HYPERRESOLVE',[status(thm)],[84,3386]) ).
cnf(3451,plain,
next_subocc('SKOLEMAAAP17'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),'SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp0),
inference('HYPERRESOLVE',[status(thm)],[87,3386]) ).
cnf(3452,plain,
( occurrence_of('SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp3)
| occurrence_of('SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp2) ),
inference('HYPERRESOLVE',[status(thm)],[85,3386]) ).
cnf(7430,plain,
( 'SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) = 'SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'))))
| min_precedes('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp0) ),
inference('HYPERRESOLVE',[status(thm)],[82,3448,3386,3439,3395,3373]) ).
cnf(7437,plain,
'SKOLEMAAAP17'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))) = 'SKOLEMAAAP26',
inference('HYPERRESOLVE',[status(thm)],[67,3449,3386,3439]) ).
cnf(7438,plain,
next_subocc('SKOLEMAAAP26','SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp0),
inference('REWRITE',[status(thm)],[3451,7437,theory(equality)]) ).
cnf(7441,plain,
~ min_precedes('SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')),'SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),tptp0),
inference('UR-RESOLVE',[status(thm)],[37,7438,3373]) ).
cnf(7442,plain,
'SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')) = 'SKOLEMAAAP18'('SKOLEMAAAP10'(tptp0,'SKOLEMAAAP26','SKOLEMAAAP12'('SKOLEMAAAP21'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27'),'SKOLEMAAAP24'('SKOLEMAAAP26',tptp0,'SKOLEMAAAP27')))),
inference('REWRITE',[status(thm)],[7430,7441]) ).
cnf(7444,plain,
$false,
inference('REWRITE',[status(thm)],[3452,3374,3375,7442,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PRO001+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 13 02:23:11 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.12/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 *
% 0.12/0.38 *
% 0.12/0.38 #<PACKAGE "SNARK-USER">
% 0.12/0.38 *
% 0.12/0.38 SNARK-TPTP-OPTIONS
% 0.12/0.38 *
% 0.12/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.38 (USE-FACTORING :POS)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.38 *
% 0.12/0.38 "."
% 0.12/0.38 *
% 0.12/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T02:23:11
% 0.12/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-13T02:23:11
% 55.62/55.86
% 55.62/55.86
% 55.62/55.86 #||
% 55.62/55.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.62/55.86 % SZS output start Refutation
% See solution above
% 55.62/55.89 ||#
% 55.62/55.89
% 55.62/55.89 ; Summary of computation:
% 55.62/55.89 ; 163861 formulas have been input or derived (from 3164 formulas).
% 55.62/55.89 ; 7444 ( 5%) were retained. Of these,
% 55.62/55.89 ; 2599 (35%) were simplified or subsumed later,
% 55.62/55.89 ; 4845 (65%) are still being kept.
% 55.62/55.89 ;
% 55.62/55.89 ; Run time in seconds excluding printing time:
% 55.62/55.89 ; 0.012 0% Read assertion file (1 call)
% 55.62/55.89 ; 0.004 0% Assert (73 calls)
% 55.62/55.89 ; 1.071 2% Process new row (141,064 calls)
% 55.62/55.89 ; 10.189 18% Resolution (6,326 calls)
% 55.62/55.89 ; 0.060 0% Paramodulation (3,163 calls)
% 55.62/55.89 ; 0.002 0% Factoring (1,004 calls)
% 55.62/55.89 ; 0.116 0% Condensing (62,731 calls)
% 55.62/55.89 ; 38.865 70% Forward subsumption (62,731 calls)
% 55.62/55.89 ; 0.254 0% Backward subsumption (3,454 calls)
% 55.62/55.89 ; 0.572 1% Clause clause subsumption (246,565 calls)
% 55.62/55.89 ; 3.581 6% Forward simplification (134,971 calls)
% 55.62/55.89 ; 0.189 0% Backward simplification (7,444 calls)
% 55.62/55.89 ; 0.032 0% Ordering (18,454 calls)
% 55.62/55.89 ; 0.001 0% Sortal reasoning (32 calls)
% 55.62/55.89 ; 0.000 0% Purity testing (1 call)
% 55.62/55.89 ; 0.525 1% Other
% 55.62/55.89 ; 55.473 Total
% 55.62/55.89 ; 55.506 Real time
% 55.62/55.89 ;
% 55.62/55.89 ; Term-hash-array has 7,531 terms in all.
% 55.62/55.89 ; Feature-vector-row-index has 3,124 entries (3,143 at peak, 3,454 added, 330 deleted).
% 55.62/55.89 ; Feature-vector-row-index has 40,792 nodes (41,293 at peak, 46,130 added, 5,338 deleted).
% 55.62/55.89 ; Retrieved 672,344 possibly forward subsuming rows in 62,731 calls.
% 55.62/55.89 ; Retrieved 728 possibly backward subsumed rows in 3,454 calls.
% 55.62/55.89 ; Path-index has 4,630 entries (4,896 at peak, 7,639 added, 3,009 deleted).
% 55.62/55.89 ; Path-index has 40,933 nodes (41,341 at peak, 47,458 added, 6,525 deleted).
% 55.62/55.89 ; Trie-index has 4,630 entries (4,896 at peak, 7,639 added, 3,009 deleted).
% 55.62/55.89 ; Trie-index has 44,391 nodes (48,329 at peak, 72,668 added, 28,277 deleted).
% 55.62/55.89 ; Retrieved 46,364 generalization terms in 960,554 calls.
% 55.62/55.89 ; Retrieved 4,167 instance terms in 3,989 calls.
% 55.62/55.89 ; Retrieved 6,909,886 unifiable terms in 1,221,509 calls.
% 55.62/55.89 ;
% 55.62/55.89 ; The agenda of backward simplifiable rows to process has 14 entries:
% 55.62/55.89 ; 14 with value 0
% 55.62/55.89 ; The agenda of rows to give has 2357 entries:
% 55.62/55.89 ; 1 with value (4 33) 23 with value (4 62) 5 with value (4 87)
% 55.62/55.89 ; 1 with value (4 36) 31 with value (4 63) 7 with value (4 88)
% 55.62/55.89 ; 146 with value (4 38) 30 with value (4 64) 9 with value (4 89)
% 55.62/55.89 ; 130 with value (4 39) 23 with value (4 65) 1 with value (4 90)
% 55.62/55.89 ; 148 with value (4 40) 23 with value (4 66) 2 with value (4 91)
% 55.62/55.89 ; 123 with value (4 41) 29 with value (4 67) 2 with value (4 92)
% 55.62/55.89 ; 129 with value (4 42) 20 with value (4 68) 1 with value (4 93)
% 55.62/55.89 ; 103 with value (4 43) 20 with value (4 69) 3 with value (4 94)
% 55.62/55.89 ; 106 with value (4 44) 12 with value (4 70) 2 with value (4 95)
% 55.62/55.89 ; 95 with value (4 45) 20 with value (4 71) 4 with value (4 96)
% 55.62/55.89 ; 96 with value (4 46) 15 with value (4 72) 2 with value (4 97)
% 55.62/55.89 ; 76 with value (4 47) 18 with value (4 73) 4 with value (4 98)
% 55.62/55.89 ; 72 with value (4 48) 10 with value (4 74) 9 with value (4 99)
% 55.62/55.89 ; 77 with value (4 49) 7 with value (4 75) 3 with value (4 100)
% 55.62/55.89 ; 78 with value (4 50) 8 with value (4 76) 1 with value (4 102)
% 55.62/55.89 ; 50 with value (4 51) 9 with value (4 77) 1 with value (4 103)
% 55.62/55.89 ; 67 with value (4 52) 11 with value (4 78) 2 with value (4 104)
% 55.62/55.89 ; 57 with value (4 53) 13 with value (4 79) 5 with value (4 105)
% 55.62/55.89 ; 46 with value (4 54) 8 with value (4 80) 1 with value (4 106)
% 55.62/55.89 ; 57 with value (4 55) 13 with value (4 81) 1 with value (4 108)
% 55.62/55.89 ; 45 with value (4 56) 5 with value (4 82) 1 with value (4 111)
% 55.62/55.89 ; 34 with value (4 57) 4 with value (4 83) 1 with value (4 113)
% 55.62/55.89 ; 50 with value (4 58) 5 with value (4 84) 1 with value (4 117)
% 55.62/55.89 ; 39 with value (4 59) 9 with value (4 85) 2 with value (4 142)
% 55.62/55.89 ; 42 with value (4 60) 6 with value (4 86) 3 with value (4 145)
% 55.62/55.89 ; 44 with value (4 61)
% 55.62/55.89 Evaluation took:
% 55.62/55.89 55.509 seconds of real time
% 55.62/55.89 53.583187 seconds of user run time
% 55.62/55.89 1.921526 seconds of system run time
% 55.62/55.89 [Run times include 7.308 seconds GC run time.]
% 55.62/55.89 0 calls to %EVAL
% 55.62/55.89 0 page faults and
% 55.62/55.89 6,935,090,288 bytes consed.
% 55.62/55.89 :PROOF-FOUND
% 55.62/55.89 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T02:24:07
% 55.62/55.89 :PROOF-FOUND
% 55.62/55.89 *
%------------------------------------------------------------------------------