TSTP Solution File: NUM059-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.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 : 300s
% DateTime : Wed Aug 31 18:03:23 EDT 2022
% Result : Unsatisfiable 5.56s 1.07s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 76 ( 24 unt; 0 def)
% Number of atoms : 135 ( 44 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 39 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1496,plain,
$false,
inference(subsumption_resolution,[],[f1494,f250]) ).
fof(f250,plain,
~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),xr),
inference(definition_unfolding,[],[f160,f161]) ).
fof(f161,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f160,axiom,
~ member(ordered_pair(u,z),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property3_2) ).
fof(f1494,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),xr),
inference(resolution,[],[f1485,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f1485,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),intersection(xr,cross_product(y,unordered_pair(z,z)))),
inference(resolution,[],[f1484,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f1484,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),
inference(subsumption_resolution,[],[f1461,f1460]) ).
fof(f1460,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
inference(resolution,[],[f1402,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f1402,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
inference(backward_demodulation,[],[f539,f1360]) ).
fof(f1360,plain,
unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),
inference(backward_demodulation,[],[f1063,f1334]) ).
fof(f1334,plain,
u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),
inference(subsumption_resolution,[],[f1332,f1331]) ).
fof(f1331,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) ),
inference(resolution,[],[f1038,f24]) ).
fof(f1038,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) ),
inference(duplicate_literal_removal,[],[f1035]) ).
fof(f1035,plain,
( u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))
| u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
inference(resolution,[],[f761,f535]) ).
fof(f535,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(unordered_pair(u,u),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
inference(forward_demodulation,[],[f506,f476]) ).
fof(f476,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f470]) ).
fof(f470,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f264,f312]) ).
fof(f312,plain,
! [X5] :
( member(regular(X5),universal_class)
| null_class = X5 ),
inference(resolution,[],[f288,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f288,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f264,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f506,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),cross_product(unordered_pair(u,u),universal_class)) ),
inference(backward_demodulation,[],[f430,f476]) ).
fof(f430,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),cross_product(unordered_pair(u,u),universal_class))
| member(not_subclass_element(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class) ),
inference(resolution,[],[f428,f21]) ).
fof(f428,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))))
| member(not_subclass_element(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class) ),
inference(resolution,[],[f424,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f424,plain,
( ~ subclass(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))))
| member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
inference(resolution,[],[f418,f2]) ).
fof(f418,plain,
( ~ subclass(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)
| ~ subclass(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
inference(forward_demodulation,[],[f417,f213]) ).
fof(f213,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f417,plain,
( ~ subclass(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class)
| ~ subclass(null_class,intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(u,u),universal_class))) ),
inference(forward_demodulation,[],[f415,f213]) ).
fof(f415,plain,
( ~ subclass(intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(u,u),universal_class)),null_class)
| ~ subclass(null_class,intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(u,u),universal_class))) ),
inference(extensionality_resolution,[],[f7,f413]) ).
fof(f413,plain,
null_class != intersection(intersection(xr,cross_product(y,unordered_pair(z,z))),cross_product(unordered_pair(u,u),universal_class)),
inference(resolution,[],[f226,f227]) ).
fof(f227,plain,
member(u,domain_of(intersection(xr,cross_product(y,unordered_pair(z,z))))),
inference(definition_unfolding,[],[f159,f175]) ).
fof(f175,plain,
! [X1,X4,X5] : segment(X5,X1,X4) = domain_of(intersection(X5,cross_product(X1,unordered_pair(X4,X4)))),
inference(definition_unfolding,[],[f122,f28,f12]) ).
fof(f122,axiom,
! [X1,X4,X5] : segment(X5,X1,X4) = domain_of(restrict(X5,X1,singleton(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment) ).
fof(f159,axiom,
member(u,segment(xr,y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property3_1) ).
fof(f226,plain,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| null_class != intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f30,axiom,
! [X0,X4] :
( restrict(X0,singleton(X4),universal_class) != null_class
| ~ member(X4,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f761,plain,
! [X8,X6,X7] :
( ~ member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(unordered_pair(X6,X7),X8))
| first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) = X6
| first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) = X7 ),
inference(resolution,[],[f719,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f719,plain,
! [X6,X5] :
( member(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),X5)
| ~ member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(X5,X6)) ),
inference(superposition,[],[f240,f711]) ).
fof(f711,plain,
unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),
inference(subsumption_resolution,[],[f709,f708]) ).
fof(f708,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)) ),
inference(resolution,[],[f703,f24]) ).
fof(f703,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)) ),
inference(resolution,[],[f222,f535]) ).
fof(f222,plain,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ),
inference(definition_unfolding,[],[f17,f161]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f709,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),unordered_pair(second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)) ),
inference(resolution,[],[f703,f288]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,X0) ),
inference(definition_unfolding,[],[f14,f161]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f1332,plain,
( u = first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class) ),
inference(resolution,[],[f1038,f288]) ).
fof(f1063,plain,
unordered_pair(unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))),unordered_pair(first(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),unordered_pair(z,z))) = not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),
inference(backward_demodulation,[],[f711,f1062]) ).
fof(f1062,plain,
z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),
inference(subsumption_resolution,[],[f1032,f1031]) ).
fof(f1031,plain,
( ~ member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) ),
inference(resolution,[],[f1030,f24]) ).
fof(f1030,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) ),
inference(duplicate_literal_removal,[],[f1027]) ).
fof(f1027,plain,
( z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))
| z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
inference(resolution,[],[f739,f534]) ).
fof(f534,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(y,unordered_pair(z,z)))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
inference(forward_demodulation,[],[f513,f476]) ).
fof(f513,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),cross_product(y,unordered_pair(z,z))) ),
inference(backward_demodulation,[],[f439,f476]) ).
fof(f439,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),cross_product(y,unordered_pair(z,z)))
| member(not_subclass_element(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class) ),
inference(resolution,[],[f429,f22]) ).
fof(f429,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),intersection(xr,cross_product(y,unordered_pair(z,z))))
| member(not_subclass_element(null_class,intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),null_class) ),
inference(resolution,[],[f428,f22]) ).
fof(f739,plain,
! [X8,X6,X7] :
( ~ member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(X6,unordered_pair(X7,X8)))
| second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) = X8
| second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) = X7 ),
inference(resolution,[],[f716,f8]) ).
fof(f716,plain,
! [X2,X3] :
( member(second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))),X3)
| ~ member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),cross_product(X2,X3)) ),
inference(superposition,[],[f215,f711]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(definition_unfolding,[],[f15,f161]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f1032,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class)
| z = second(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class))) ),
inference(resolution,[],[f1030,f288]) ).
fof(f539,plain,
( member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),complement(universal_class)),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class)) ),
inference(forward_demodulation,[],[f504,f476]) ).
fof(f504,plain,
( member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),complement(universal_class))
| member(not_subclass_element(intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))),null_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))) ),
inference(backward_demodulation,[],[f428,f476]) ).
fof(f1461,plain,
( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(z,z))),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z)))))
| member(not_subclass_element(complement(universal_class),intersection(cross_product(unordered_pair(u,u),universal_class),intersection(xr,cross_product(y,unordered_pair(z,z))))),universal_class) ),
inference(resolution,[],[f1402,f288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 05:52:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.51/0.55 % (29831)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.56 % (29842)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.51/0.57 % (29834)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.51/0.57 % (29822)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.58 % (29826)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.73/0.59 % (29847)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.73/0.59 % (29826)Instruction limit reached!
% 1.73/0.59 % (29826)------------------------------
% 1.73/0.59 % (29826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59 % (29826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59 % (29826)Termination reason: Unknown
% 1.73/0.59 % (29826)Termination phase: Saturation
% 1.73/0.59
% 1.73/0.59 % (29826)Memory used [KB]: 5628
% 1.73/0.59 % (29826)Time elapsed: 0.012 s
% 1.73/0.59 % (29826)Instructions burned: 8 (million)
% 1.73/0.59 % (29826)------------------------------
% 1.73/0.59 % (29826)------------------------------
% 1.73/0.59 % (29819)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.73/0.59 % (29824)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.73/0.59 % (29821)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.73/0.59 % (29827)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.73/0.60 % (29827)Instruction limit reached!
% 1.73/0.60 % (29827)------------------------------
% 1.73/0.60 % (29827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (29827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (29827)Termination reason: Unknown
% 1.73/0.60 % (29827)Termination phase: Function definition elimination
% 1.73/0.60
% 1.73/0.60 % (29827)Memory used [KB]: 1023
% 1.73/0.60 % (29827)Time elapsed: 0.003 s
% 1.73/0.60 % (29827)Instructions burned: 2 (million)
% 1.73/0.60 % (29827)------------------------------
% 1.73/0.60 % (29827)------------------------------
% 1.73/0.60 % (29832)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.60 % (29823)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.61 % (29825)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.62 % (29844)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.73/0.62 % (29836)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.73/0.62 % (29843)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.73/0.62 % (29820)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.62 % (29846)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.73/0.63 % (29841)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.73/0.63 % (29828)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.63 % (29833)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.73/0.63 % (29839)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.73/0.63 % (29829)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.64 % (29835)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.64 % (29830)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.64 % (29845)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.73/0.64 % (29838)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.64 % (29848)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.73/0.64 % (29840)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.26/0.65 % (29837)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.42/0.69 % (29822)Instruction limit reached!
% 2.42/0.69 % (29822)------------------------------
% 2.42/0.69 % (29822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69 % (29822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69 % (29822)Termination reason: Unknown
% 2.42/0.69 % (29822)Termination phase: Saturation
% 2.42/0.69
% 2.42/0.69 % (29822)Memory used [KB]: 7036
% 2.42/0.69 % (29822)Time elapsed: 0.258 s
% 2.42/0.69 % (29822)Instructions burned: 52 (million)
% 2.42/0.69 % (29822)------------------------------
% 2.42/0.69 % (29822)------------------------------
% 2.42/0.69 % (29834)Instruction limit reached!
% 2.42/0.69 % (29834)------------------------------
% 2.42/0.69 % (29834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69 % (29834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69 % (29834)Termination reason: Unknown
% 2.42/0.69 % (29834)Termination phase: Saturation
% 2.42/0.69
% 2.42/0.69 % (29834)Memory used [KB]: 2174
% 2.42/0.69 % (29834)Time elapsed: 0.209 s
% 2.42/0.69 % (29834)Instructions burned: 75 (million)
% 2.42/0.69 % (29834)------------------------------
% 2.42/0.69 % (29834)------------------------------
% 2.42/0.70 % (29821)Instruction limit reached!
% 2.42/0.70 % (29821)------------------------------
% 2.42/0.70 % (29821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.70 % (29821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.70 % (29821)Termination reason: Unknown
% 2.42/0.70 % (29821)Termination phase: Saturation
% 2.42/0.70
% 2.42/0.70 % (29821)Memory used [KB]: 1791
% 2.42/0.70 % (29821)Time elapsed: 0.261 s
% 2.42/0.70 % (29821)Instructions burned: 38 (million)
% 2.42/0.70 % (29821)------------------------------
% 2.42/0.70 % (29821)------------------------------
% 2.80/0.72 % (29825)Instruction limit reached!
% 2.80/0.72 % (29825)------------------------------
% 2.80/0.72 % (29825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.72 % (29825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.72 % (29825)Termination reason: Unknown
% 2.80/0.72 % (29825)Termination phase: Finite model building preprocessing
% 2.80/0.72
% 2.80/0.72 % (29825)Memory used [KB]: 1791
% 2.80/0.72 % (29825)Time elapsed: 0.034 s
% 2.80/0.72 % (29825)Instructions burned: 51 (million)
% 2.80/0.72 % (29825)------------------------------
% 2.80/0.72 % (29825)------------------------------
% 2.80/0.73 % (29824)Instruction limit reached!
% 2.80/0.73 % (29824)------------------------------
% 2.80/0.73 % (29824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.73 % (29824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.73 % (29824)Termination reason: Unknown
% 2.80/0.73 % (29824)Termination phase: Saturation
% 2.80/0.73
% 2.80/0.73 % (29824)Memory used [KB]: 6396
% 2.80/0.73 % (29824)Time elapsed: 0.315 s
% 2.80/0.73 % (29824)Instructions burned: 48 (million)
% 2.80/0.73 % (29824)------------------------------
% 2.80/0.73 % (29824)------------------------------
% 2.80/0.74 % (29823)Instruction limit reached!
% 2.80/0.74 % (29823)------------------------------
% 2.80/0.74 % (29823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.74 % (29823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.74 % (29823)Termination reason: Unknown
% 2.80/0.74 % (29823)Termination phase: Saturation
% 2.80/0.74
% 2.80/0.74 % (29823)Memory used [KB]: 6396
% 2.80/0.74 % (29823)Time elapsed: 0.321 s
% 2.80/0.74 % (29823)Instructions burned: 51 (million)
% 2.80/0.74 % (29823)------------------------------
% 2.80/0.74 % (29823)------------------------------
% 2.80/0.74 % (29820)Instruction limit reached!
% 2.80/0.74 % (29820)------------------------------
% 2.80/0.74 % (29820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.74 % (29820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.74 % (29820)Termination reason: Unknown
% 2.80/0.74 % (29820)Termination phase: Saturation
% 2.80/0.74
% 2.80/0.74 % (29820)Memory used [KB]: 6524
% 2.80/0.74 % (29820)Time elapsed: 0.326 s
% 2.80/0.74 % (29820)Instructions burned: 50 (million)
% 2.80/0.74 % (29820)------------------------------
% 2.80/0.74 % (29820)------------------------------
% 3.07/0.77 % (29829)Instruction limit reached!
% 3.07/0.77 % (29829)------------------------------
% 3.07/0.77 % (29829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.77 % (29829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.77 % (29829)Termination reason: Unknown
% 3.07/0.77 % (29829)Termination phase: Saturation
% 3.07/0.77
% 3.07/0.77 % (29829)Memory used [KB]: 6524
% 3.07/0.77 % (29829)Time elapsed: 0.343 s
% 3.07/0.77 % (29829)Instructions burned: 50 (million)
% 3.07/0.77 % (29829)------------------------------
% 3.07/0.77 % (29829)------------------------------
% 3.07/0.78 % (29831)Instruction limit reached!
% 3.07/0.78 % (29831)------------------------------
% 3.07/0.78 % (29831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.78 % (29831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.78 % (29831)Termination reason: Unknown
% 3.07/0.78 % (29831)Termination phase: Saturation
% 3.07/0.78
% 3.07/0.78 % (29831)Memory used [KB]: 7291
% 3.07/0.78 % (29831)Time elapsed: 0.345 s
% 3.07/0.78 % (29831)Instructions burned: 102 (million)
% 3.07/0.78 % (29831)------------------------------
% 3.07/0.78 % (29831)------------------------------
% 3.07/0.79 % (29836)Instruction limit reached!
% 3.07/0.79 % (29836)------------------------------
% 3.07/0.79 % (29836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.79 % (29836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.79 % (29836)Termination reason: Unknown
% 3.07/0.79 % (29836)Termination phase: Finite model building preprocessing
% 3.07/0.79
% 3.07/0.79 % (29836)Memory used [KB]: 1791
% 3.07/0.79 % (29836)Time elapsed: 0.042 s
% 3.07/0.79 % (29836)Instructions burned: 60 (million)
% 3.07/0.79 % (29836)------------------------------
% 3.07/0.79 % (29836)------------------------------
% 3.07/0.80 % (29833)Instruction limit reached!
% 3.07/0.80 % (29833)------------------------------
% 3.07/0.80 % (29833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.80 % (29833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.80 % (29833)Termination reason: Unknown
% 3.07/0.80 % (29833)Termination phase: Saturation
% 3.07/0.80
% 3.07/0.80 % (29833)Memory used [KB]: 7419
% 3.07/0.80 % (29833)Time elapsed: 0.058 s
% 3.07/0.80 % (29833)Instructions burned: 68 (million)
% 3.07/0.80 % (29833)------------------------------
% 3.07/0.80 % (29833)------------------------------
% 3.07/0.80 % (29828)Instruction limit reached!
% 3.07/0.80 % (29828)------------------------------
% 3.07/0.80 % (29828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.80 % (29828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.80 % (29828)Termination reason: Unknown
% 3.07/0.80 % (29828)Termination phase: Saturation
% 3.07/0.80
% 3.07/0.80 % (29828)Memory used [KB]: 2046
% 3.07/0.80 % (29828)Time elapsed: 0.381 s
% 3.07/0.80 % (29828)Instructions burned: 52 (million)
% 3.07/0.80 % (29828)------------------------------
% 3.07/0.80 % (29828)------------------------------
% 3.07/0.83 % (29845)Instruction limit reached!
% 3.07/0.83 % (29845)------------------------------
% 3.07/0.83 % (29845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.83 % (29845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.83 % (29845)Termination reason: Unknown
% 3.07/0.83 % (29845)Termination phase: Saturation
% 3.07/0.83
% 3.07/0.83 % (29845)Memory used [KB]: 7164
% 3.07/0.83 % (29845)Time elapsed: 0.058 s
% 3.07/0.83 % (29845)Instructions burned: 71 (million)
% 3.07/0.83 % (29845)------------------------------
% 3.07/0.83 % (29845)------------------------------
% 3.48/0.83 % (29886)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.48/0.85 % (29885)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.48/0.85 % (29882)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.48/0.86 % (29832)Instruction limit reached!
% 3.48/0.86 % (29832)------------------------------
% 3.48/0.86 % (29832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.86 % (29832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.86 % (29832)Termination reason: Unknown
% 3.48/0.86 % (29832)Termination phase: Saturation
% 3.48/0.86
% 3.48/0.86 % (29832)Memory used [KB]: 7675
% 3.48/0.86 % (29832)Time elapsed: 0.445 s
% 3.48/0.86 % (29832)Instructions burned: 100 (million)
% 3.48/0.86 % (29832)------------------------------
% 3.48/0.86 % (29832)------------------------------
% 3.48/0.87 % (29881)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.67/0.87 % (29830)Instruction limit reached!
% 3.67/0.87 % (29830)------------------------------
% 3.67/0.87 % (29830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.88 % (29830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.88 % (29830)Termination reason: Unknown
% 3.67/0.88 % (29830)Termination phase: Saturation
% 3.67/0.88
% 3.67/0.88 % (29830)Memory used [KB]: 7803
% 3.67/0.88 % (29830)Time elapsed: 0.438 s
% 3.67/0.88 % (29830)Instructions burned: 100 (million)
% 3.67/0.88 % (29830)------------------------------
% 3.67/0.88 % (29830)------------------------------
% 3.67/0.89 % (29837)Instruction limit reached!
% 3.67/0.89 % (29837)------------------------------
% 3.67/0.89 % (29837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.89 % (29837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.89 % (29837)Termination reason: Unknown
% 3.67/0.89 % (29837)Termination phase: Saturation
% 3.67/0.89
% 3.67/0.89 % (29837)Memory used [KB]: 7547
% 3.67/0.89 % (29837)Time elapsed: 0.463 s
% 3.67/0.89 % (29837)Instructions burned: 102 (million)
% 3.67/0.89 % (29837)------------------------------
% 3.67/0.89 % (29837)------------------------------
% 3.67/0.90 % (29838)Instruction limit reached!
% 3.67/0.90 % (29838)------------------------------
% 3.67/0.90 % (29838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.90 % (29838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.90 % (29838)Termination reason: Unknown
% 3.67/0.90 % (29838)Termination phase: Saturation
% 3.67/0.90
% 3.67/0.90 % (29838)Memory used [KB]: 2686
% 3.67/0.90 % (29838)Time elapsed: 0.474 s
% 3.67/0.90 % (29838)Instructions burned: 100 (million)
% 3.67/0.90 % (29838)------------------------------
% 3.67/0.90 % (29838)------------------------------
% 3.67/0.90 % (29887)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.67/0.90 % (29894)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.67/0.91 % (29835)Instruction limit reached!
% 3.67/0.91 % (29835)------------------------------
% 3.67/0.91 % (29835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.91 % (29835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.91 % (29835)Termination reason: Unknown
% 3.67/0.91 % (29835)Termination phase: Saturation
% 3.67/0.91
% 3.67/0.91 % (29835)Memory used [KB]: 7036
% 3.67/0.91 % (29835)Time elapsed: 0.486 s
% 3.67/0.91 % (29835)Instructions burned: 99 (million)
% 3.67/0.91 % (29835)------------------------------
% 3.67/0.91 % (29835)------------------------------
% 3.67/0.91 % (29892)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.67/0.91 % (29890)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.67/0.91 % (29888)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.67/0.92 % (29891)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.67/0.93 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.67/0.93 % (29893)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 3.67/0.94 % (29896)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.93/0.95 % (29840)Instruction limit reached!
% 3.93/0.95 % (29840)------------------------------
% 3.93/0.95 % (29840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/0.96 % (29901)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.93/0.96 % (29897)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.93/0.96 % (29840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/0.96 % (29840)Termination reason: Unknown
% 3.93/0.96 % (29840)Termination phase: Saturation
% 3.93/0.96
% 3.93/0.96 % (29840)Memory used [KB]: 7803
% 3.93/0.96 % (29840)Time elapsed: 0.519 s
% 3.93/0.96 % (29840)Instructions burned: 138 (million)
% 3.93/0.96 % (29840)------------------------------
% 3.93/0.96 % (29840)------------------------------
% 3.93/0.96 % (29902)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 4.00/0.97 % (29898)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.00/0.99 % (29919)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.00/0.99 % (29839)Instruction limit reached!
% 4.00/0.99 % (29839)------------------------------
% 4.00/0.99 % (29839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/0.99 % (29839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/0.99 % (29839)Termination reason: Unknown
% 4.00/0.99 % (29839)Termination phase: Saturation
% 4.00/0.99
% 4.00/0.99 % (29839)Memory used [KB]: 8059
% 4.00/0.99 % (29839)Time elapsed: 0.575 s
% 4.00/0.99 % (29839)Instructions burned: 178 (million)
% 4.00/0.99 % (29839)------------------------------
% 4.00/0.99 % (29839)------------------------------
% 4.00/1.00 % (29846)Instruction limit reached!
% 4.00/1.00 % (29846)------------------------------
% 4.00/1.00 % (29846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.00 % (29846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.00 % (29846)Termination reason: Unknown
% 4.00/1.00 % (29846)Termination phase: Saturation
% 4.00/1.00
% 4.00/1.00 % (29846)Memory used [KB]: 3198
% 4.00/1.00 % (29846)Time elapsed: 0.546 s
% 4.00/1.00 % (29846)Instructions burned: 178 (million)
% 4.00/1.00 % (29846)------------------------------
% 4.00/1.00 % (29846)------------------------------
% 4.00/1.00 % (29906)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.00/1.01 % (29911)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.15/1.03 % (29914)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.15/1.03 % (29891)Instruction limit reached!
% 4.15/1.03 % (29891)------------------------------
% 4.15/1.03 % (29891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.15/1.04 % (29885)Instruction limit reached!
% 4.15/1.04 % (29885)------------------------------
% 4.15/1.04 % (29885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.15/1.04 % (29885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.15/1.04 % (29885)Termination reason: Unknown
% 4.15/1.04 % (29885)Termination phase: Saturation
% 4.15/1.04
% 4.15/1.04 % (29885)Memory used [KB]: 6780
% 4.15/1.04 % (29885)Time elapsed: 0.297 s
% 4.15/1.04 % (29885)Instructions burned: 91 (million)
% 4.15/1.04 % (29885)------------------------------
% 4.15/1.04 % (29885)------------------------------
% 4.15/1.05 % (29891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.15/1.05 % (29891)Termination reason: Unknown
% 4.15/1.05 % (29891)Termination phase: Saturation
% 4.15/1.05
% 4.15/1.05 % (29891)Memory used [KB]: 7164
% 4.15/1.05 % (29891)Time elapsed: 0.035 s
% 4.15/1.05 % (29891)Instructions burned: 69 (million)
% 4.15/1.05 % (29891)------------------------------
% 4.15/1.05 % (29891)------------------------------
% 5.56/1.06 % (29890)First to succeed.
% 5.56/1.07 % (29890)Refutation found. Thanks to Tanya!
% 5.56/1.07 % SZS status Unsatisfiable for theBenchmark
% 5.56/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.07 % (29890)------------------------------
% 5.56/1.07 % (29890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.07 % (29890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.07 % (29890)Termination reason: Refutation
% 5.56/1.07
% 5.56/1.07 % (29890)Memory used [KB]: 2174
% 5.56/1.07 % (29890)Time elapsed: 0.285 s
% 5.56/1.07 % (29890)Instructions burned: 144 (million)
% 5.56/1.07 % (29890)------------------------------
% 5.56/1.07 % (29890)------------------------------
% 5.56/1.07 % (29817)Success in time 0.721 s
%------------------------------------------------------------------------------