TSTP Solution File: SET257-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET257-6 : 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 : n003.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 18:24:18 EDT 2022
% Result : Unsatisfiable 0.21s 0.61s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(subsumption_resolution,[],[f281,f238]) ).
fof(f238,plain,
member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)),
inference(subsumption_resolution,[],[f235,f232]) ).
fof(f232,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f229,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f229,plain,
( ~ subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y)))
| ~ member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f213,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f213,plain,
( ~ subclass(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y))
| ~ subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(extensionality_resolution,[],[f7,f147]) ).
fof(f147,plain,
cross_product(x,y) != intersection(cross_product(x,y),cross_product(x,y)),
inference(definition_unfolding,[],[f113,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f113,axiom,
cross_product(x,y) != restrict(cross_product(x,y),x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_property5_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f235,plain,
( member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f234,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f234,plain,
( member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),intersection(cross_product(x,y),cross_product(x,y)))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f230,f2]) ).
fof(f230,plain,
( ~ subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y)))
| member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(resolution,[],[f213,f2]) ).
fof(f281,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f278,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f23,f244]) ).
fof(f244,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y))),
inference(subsumption_resolution,[],[f241,f231]) ).
fof(f231,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(resolution,[],[f229,f3]) ).
fof(f241,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y)))
| member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f233,f22]) ).
fof(f233,plain,
( member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),intersection(cross_product(x,y),cross_product(x,y)))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),intersection(cross_product(x,y),cross_product(x,y))) ),
inference(resolution,[],[f230,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET257-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:32:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (1971)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)
% 0.21/0.56 % (1977)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (1977)Instruction limit reached!
% 0.21/0.56 % (1977)------------------------------
% 0.21/0.56 % (1977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (1994)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56 % (1992)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)
% 0.21/0.56 % (1985)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)
% 0.21/0.56 % (1977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (1977)Termination reason: Unknown
% 0.21/0.56 % (1977)Termination phase: Equality resolution with deletion
% 0.21/0.56
% 0.21/0.56 % (1977)Memory used [KB]: 1023
% 0.21/0.56 % (1977)Time elapsed: 0.003 s
% 0.21/0.56 % (1977)Instructions burned: 3 (million)
% 0.21/0.56 % (1977)------------------------------
% 0.21/0.56 % (1977)------------------------------
% 0.21/0.56 % (1975)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 % (1983)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)
% 0.21/0.57 % (1975)Instruction limit reached!
% 0.21/0.57 % (1975)------------------------------
% 0.21/0.57 % (1975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (1984)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)
% 0.21/0.57 % (1993)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)
% 0.21/0.58 % (1975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (1975)Termination reason: Unknown
% 0.21/0.58 % (1975)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (1975)Memory used [KB]: 5628
% 0.21/0.58 % (1975)Time elapsed: 0.132 s
% 0.21/0.58 % (1975)Instructions burned: 7 (million)
% 0.21/0.58 % (1975)------------------------------
% 0.21/0.58 % (1975)------------------------------
% 0.21/0.59 % (1992)First to succeed.
% 0.21/0.60 % (1968)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)
% 0.21/0.61 % (1992)Refutation found. Thanks to Tanya!
% 0.21/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.61 % (1992)------------------------------
% 0.21/0.61 % (1992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (1992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (1992)Termination reason: Refutation
% 0.21/0.61
% 0.21/0.61 % (1992)Memory used [KB]: 1151
% 0.21/0.61 % (1992)Time elapsed: 0.166 s
% 0.21/0.61 % (1992)Instructions burned: 11 (million)
% 0.21/0.61 % (1992)------------------------------
% 0.21/0.61 % (1992)------------------------------
% 0.21/0.61 % (1964)Success in time 0.247 s
%------------------------------------------------------------------------------