TSTP Solution File: SET144-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET144-6 : 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 : n013.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 18:23:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,plain,
$false,
inference(subsumption_resolution,[],[f300,f292]) ).
fof(f292,plain,
member(not_subclass_element(intersection(x,y),intersection(y,x)),y),
inference(resolution,[],[f290,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f290,plain,
member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)),
inference(subsumption_resolution,[],[f289,f231]) ).
fof(f231,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(resolution,[],[f227,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f227,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(resolution,[],[f223,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(f223,plain,
( ~ subclass(intersection(x,y),intersection(y,x))
| member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x)) ),
inference(resolution,[],[f206,f2]) ).
fof(f206,plain,
( ~ subclass(intersection(y,x),intersection(x,y))
| ~ subclass(intersection(x,y),intersection(y,x)) ),
inference(extensionality_resolution,[],[f7,f113]) ).
fof(f113,axiom,
intersection(x,y) != intersection(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_intersection_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f289,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(subsumption_resolution,[],[f283,f230]) ).
fof(f230,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(resolution,[],[f227,f22]) ).
fof(f283,plain,
( member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y) ),
inference(resolution,[],[f23,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(resolution,[],[f222,f2]) ).
fof(f222,plain,
( ~ subclass(intersection(x,y),intersection(y,x))
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y)) ),
inference(resolution,[],[f206,f3]) ).
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(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f300,plain,
~ member(not_subclass_element(intersection(x,y),intersection(y,x)),y),
inference(subsumption_resolution,[],[f291,f293]) ).
fof(f293,plain,
member(not_subclass_element(intersection(x,y),intersection(y,x)),x),
inference(resolution,[],[f290,f21]) ).
fof(f291,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),y) ),
inference(resolution,[],[f288,f23]) ).
fof(f288,plain,
~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)),
inference(subsumption_resolution,[],[f287,f229]) ).
fof(f229,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(resolution,[],[f226,f21]) ).
fof(f226,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(resolution,[],[f223,f3]) ).
fof(f287,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(subsumption_resolution,[],[f284,f228]) ).
fof(f228,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(resolution,[],[f226,f22]) ).
fof(f284,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(resolution,[],[f23,f224]) ).
fof(f224,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(resolution,[],[f222,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET144-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % 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 : n013.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 13:19:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (5549)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)
% 0.19/0.51 % (5541)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)
% 0.19/0.51 % (5533)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)
% 0.19/0.53 % (5556)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)
% 0.19/0.53 % (5549)First to succeed.
% 0.19/0.53 % (5530)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)
% 0.19/0.53 % (5540)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (5531)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (5549)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (5549)------------------------------
% 0.19/0.53 % (5549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (5549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (5549)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (5549)Memory used [KB]: 1151
% 0.19/0.53 % (5549)Time elapsed: 0.075 s
% 0.19/0.53 % (5549)Instructions burned: 13 (million)
% 0.19/0.53 % (5549)------------------------------
% 0.19/0.53 % (5549)------------------------------
% 0.19/0.53 % (5526)Success in time 0.179 s
%------------------------------------------------------------------------------