TSTP Solution File: SET188-6 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET188-6 : 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 : n005.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 15:07:07 EDT 2024
% Result : Unsatisfiable 2.03s 0.66s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 82 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 46 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6781,plain,
$false,
inference(resolution,[],[f6768,f4755]) ).
fof(f4755,plain,
~ subclass(x,null_class),
inference(backward_demodulation,[],[f114,f4727]) ).
fof(f4727,plain,
null_class = y,
inference(resolution,[],[f4705,f114]) ).
fof(f4705,plain,
( subclass(x,y)
| null_class = y ),
inference(resolution,[],[f4669,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(f4669,plain,
! [X0] :
( ~ member(not_subclass_element(x,y),X0)
| null_class = y ),
inference(resolution,[],[f4668,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f4668,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(x,y),X0)
| null_class = y ),
inference(resolution,[],[f4639,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4639,plain,
( ~ member(not_subclass_element(x,y),universal_class)
| null_class = y ),
inference(resolution,[],[f4634,f114]) ).
fof(f4634,plain,
( subclass(x,y)
| ~ member(not_subclass_element(x,y),universal_class)
| null_class = y ),
inference(resolution,[],[f4133,f2]) ).
fof(f4133,plain,
( ~ member(not_subclass_element(x,y),x)
| null_class = y
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f4116,f1237]) ).
fof(f1237,plain,
( member(not_subclass_element(x,y),null_class)
| ~ member(not_subclass_element(x,y),x)
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f1183,f124]) ).
fof(f124,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f3,f114]) ).
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(f1183,plain,
! [X0] :
( member(X0,y)
| member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1178,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f1178,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[],[f23,f113]) ).
fof(f113,axiom,
null_class = intersection(complement(y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property6_1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f4116,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = y ),
inference(duplicate_literal_removal,[],[f3890]) ).
fof(f3890,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = y
| ~ member(X0,null_class) ),
inference(resolution,[],[f337,f132]) ).
fof(f132,plain,
! [X0] :
( ~ member(X0,y)
| ~ member(X0,null_class) ),
inference(resolution,[],[f130,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f130,plain,
! [X0] :
( member(X0,complement(y))
| ~ member(X0,null_class) ),
inference(superposition,[],[f21,f113]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f337,plain,
! [X0,X1] :
( member(X1,X0)
| ~ member(X1,null_class)
| null_class = X0 ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f114,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property6_2) ).
fof(f6768,plain,
subclass(x,null_class),
inference(resolution,[],[f6759,f2]) ).
fof(f6759,plain,
! [X0] : ~ member(not_subclass_element(x,null_class),X0),
inference(resolution,[],[f6758,f4]) ).
fof(f6758,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(x,null_class),X0) ),
inference(resolution,[],[f6755,f1]) ).
fof(f6755,plain,
~ member(not_subclass_element(x,null_class),universal_class),
inference(resolution,[],[f6736,f4755]) ).
fof(f6736,plain,
! [X0] :
( subclass(x,X0)
| ~ member(not_subclass_element(x,X0),universal_class) ),
inference(resolution,[],[f6733,f2]) ).
fof(f6733,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f6201,f6202]) ).
fof(f6202,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f4758]) ).
fof(f4758,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(backward_demodulation,[],[f132,f4727]) ).
fof(f6201,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f5032]) ).
fof(f5032,plain,
! [X0] :
( member(X0,null_class)
| member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(backward_demodulation,[],[f1183,f4727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET188-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:33:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20175)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (20179)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (20178)WARNING: value z3 for option sas not known
% 0.13/0.37 % (20177)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 % (20176)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (20178)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 % (20180)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 % (20181)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)
% 0.13/0.37 % (20182)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)
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 1.44/0.57 TRYING [4]
% 1.44/0.61 TRYING [3]
% 2.03/0.66 % (20181)First to succeed.
% 2.03/0.66 % (20181)Refutation found. Thanks to Tanya!
% 2.03/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.03/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.66 % (20181)------------------------------
% 2.03/0.66 % (20181)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.03/0.66 % (20181)Termination reason: Refutation
% 2.03/0.66
% 2.03/0.66 % (20181)Memory used [KB]: 3367
% 2.03/0.66 % (20181)Time elapsed: 0.285 s
% 2.03/0.66 % (20181)Instructions burned: 818 (million)
% 2.03/0.66 % (20181)------------------------------
% 2.03/0.66 % (20181)------------------------------
% 2.03/0.66 % (20175)Success in time 0.293 s
%------------------------------------------------------------------------------