TSTP Solution File: SET067-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 15:05:25 EDT 2024
% Result : Unsatisfiable 6.25s 1.26s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 54 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14273,plain,
$false,
inference(resolution,[],[f13348,f96]) ).
fof(f96,axiom,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_is_reflexive) ).
fof(f13348,plain,
~ subclass(null_class,null_class),
inference(backward_demodulation,[],[f243,f13327]) ).
fof(f13327,plain,
null_class = singleton(x),
inference(resolution,[],[f13220,f2888]) ).
fof(f2888,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class ),
inference(duplicate_literal_removal,[],[f2887]) ).
fof(f2887,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[],[f66,f787]) ).
fof(f787,plain,
! [X0] :
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(resolution,[],[f784,f66]) ).
fof(f784,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f781]) ).
fof(f781,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
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(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f13220,plain,
! [X2] : ~ member(x,X2),
inference(resolution,[],[f13182,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f13182,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(x,X2) ),
inference(resolution,[],[f13179,f1213]) ).
fof(f1213,plain,
! [X2,X3,X0,X1] :
( member(X0,universal_class)
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(resolution,[],[f16,f95]) ).
fof(f95,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f13179,plain,
~ member(x,universal_class),
inference(resolution,[],[f13125,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f13125,plain,
~ member(x,unordered_pair(x,y)),
inference(backward_demodulation,[],[f131,f12744]) ).
fof(f12744,plain,
x = not_subclass_element(singleton(x),unordered_pair(x,y)),
inference(resolution,[],[f788,f109]) ).
fof(f109,axiom,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f788,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[],[f784,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f131,plain,
~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f109]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f243,plain,
~ subclass(singleton(x),null_class),
inference(resolution,[],[f233,f104]) ).
fof(f104,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f233,plain,
! [X0] :
( ~ subclass(X0,unordered_pair(x,y))
| ~ subclass(singleton(x),X0) ),
inference(resolution,[],[f97,f109]) ).
fof(f97,axiom,
! [X0,X1,X4] :
( subclass(X0,X4)
| ~ subclass(X1,X4)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subclass) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET067-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.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 Apr 30 00:37:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (13575)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (13579)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (13578)WARNING: value z3 for option sas not known
% 0.13/0.37 % (13577)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (13576)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (13580)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (13582)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (13578)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (13581)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.40 TRYING [1]
% 0.13/0.41 TRYING [2]
% 0.20/0.47 TRYING [3]
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 TRYING [4]
% 2.05/0.63 TRYING [1]
% 2.05/0.63 TRYING [2]
% 2.05/0.65 TRYING [3]
% 2.05/0.71 TRYING [4]
% 3.15/0.86 TRYING [5]
% 3.15/0.86 TRYING [5]
% 5.94/1.19 TRYING [4]
% 6.25/1.26 % (13581)First to succeed.
% 6.25/1.26 % (13581)Refutation found. Thanks to Tanya!
% 6.25/1.26 % SZS status Unsatisfiable for theBenchmark
% 6.25/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.25/1.26 % (13581)------------------------------
% 6.25/1.26 % (13581)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.25/1.26 % (13581)Termination reason: Refutation
% 6.25/1.26
% 6.25/1.26 % (13581)Memory used [KB]: 10165
% 6.25/1.26 % (13581)Time elapsed: 0.894 s
% 6.25/1.26 % (13581)Instructions burned: 2497 (million)
% 6.25/1.26 % (13581)------------------------------
% 6.25/1.26 % (13581)------------------------------
% 6.25/1.26 % (13575)Success in time 0.89 s
%------------------------------------------------------------------------------