TSTP Solution File: SET257-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n012.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 18:19:58 EDT 2022
% Result : Unsatisfiable 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 55 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 23 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f292,f327]) ).
fof(f327,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| spl1_4 ),
inference(subsumption_resolution,[],[f293,f320]) ).
fof(f320,plain,
( ! [X1] : ~ member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),intersection(cross_product(x,y),X1))
| spl1_4 ),
inference(resolution,[],[f294,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f294,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| spl1_4 ),
inference(resolution,[],[f255,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f255,plain,
( ~ subclass(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y))
| spl1_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl1_4
<=> subclass(intersection(cross_product(x,y),cross_product(x,y)),cross_product(x,y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f293,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)))
| spl1_4 ),
inference(resolution,[],[f255,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f292,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| spl1_3 ),
inference(subsumption_resolution,[],[f290,f264]) ).
fof(f264,plain,
( member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y))
| spl1_3 ),
inference(resolution,[],[f252,f2]) ).
fof(f252,plain,
( ~ subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y)))
| spl1_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl1_3
<=> subclass(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f290,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),cross_product(x,y))
| spl1_3 ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,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))
| spl1_3 ),
inference(resolution,[],[f265,f23]) ).
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) ).
fof(f265,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)))
| spl1_3 ),
inference(resolution,[],[f252,f3]) ).
fof(f256,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f210,f254,f251]) ).
fof(f210,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(resolution,[],[f205,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f181]) ).
fof(f181,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f205,plain,
~ sQ0_eqProxy(cross_product(x,y),intersection(cross_product(x,y),cross_product(x,y))),
inference(equality_proxy_replacement,[],[f174,f181]) ).
fof(f174,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET257-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 13:31:20 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.47 % (28698)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.48 % (28716)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.48 % (28708)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48 % (28707)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.48 % (28715)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.49 % (28704)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.15/0.49 % (28708)Instruction limit reached!
% 0.15/0.49 % (28708)------------------------------
% 0.15/0.49 % (28708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (28708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (28708)Termination reason: Unknown
% 0.15/0.49 % (28708)Termination phase: Finite model building preprocessing
% 0.15/0.49
% 0.15/0.49 % (28708)Memory used [KB]: 1535
% 0.15/0.49 % (28708)Time elapsed: 0.010 s
% 0.15/0.49 % (28708)Instructions burned: 7 (million)
% 0.15/0.49 % (28708)------------------------------
% 0.15/0.49 % (28708)------------------------------
% 0.15/0.49 % (28700)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 % (28700)Refutation not found, incomplete strategy% (28700)------------------------------
% 0.15/0.50 % (28700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (28700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (28700)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (28700)Memory used [KB]: 5884
% 0.15/0.50 % (28700)Time elapsed: 0.078 s
% 0.15/0.50 % (28700)Instructions burned: 2 (million)
% 0.15/0.50 % (28700)------------------------------
% 0.15/0.50 % (28700)------------------------------
% 0.15/0.50 % (28702)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 % (28702)Refutation not found, incomplete strategy% (28702)------------------------------
% 0.15/0.50 % (28702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (28702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (28702)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (28702)Memory used [KB]: 6012
% 0.15/0.50 % (28702)Time elapsed: 0.128 s
% 0.15/0.50 % (28702)Instructions burned: 3 (million)
% 0.15/0.50 % (28702)------------------------------
% 0.15/0.50 % (28702)------------------------------
% 0.15/0.50 % (28716)First to succeed.
% 0.15/0.50 % (28698)Instruction limit reached!
% 0.15/0.50 % (28698)------------------------------
% 0.15/0.50 % (28698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (28701)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.51 % (28716)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (28716)------------------------------
% 0.15/0.51 % (28716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (28716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (28716)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (28716)Memory used [KB]: 6268
% 0.15/0.51 % (28716)Time elapsed: 0.078 s
% 0.15/0.51 % (28716)Instructions burned: 14 (million)
% 0.15/0.51 % (28716)------------------------------
% 0.15/0.51 % (28716)------------------------------
% 0.15/0.51 % (28692)Success in time 0.189 s
%------------------------------------------------------------------------------