TSTP Solution File: SET234-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET234-6 : 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 : 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 18:19:53 EDT 2022
% Result : Unsatisfiable 0.10s 0.42s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 31 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f129,f133]) ).
fof(f133,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f130,f114]) ).
fof(f114,axiom,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property9_2) ).
fof(f130,plain,
( subclass(cross_product(x,y),z)
| ~ spl0_1 ),
inference(resolution,[],[f122,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(f122,plain,
( member(not_subclass_element(cross_product(x,y),z),z)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_1
<=> member(not_subclass_element(cross_product(x,y),z),z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f129,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f128,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f127,f114]) ).
fof(f127,plain,
( subclass(cross_product(x,y),z)
| ~ spl0_2 ),
inference(resolution,[],[f125,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(f125,plain,
( ! [X0,X1] : ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_2
<=> ! [X0,X1] : ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f126,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f118,f124,f120]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1))
| member(not_subclass_element(cross_product(x,y),z),z) ),
inference(superposition,[],[f113,f17]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f113,axiom,
member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SET234-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.25 % Computer : n003.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Aug 30 13:30:52 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.39 % (29024)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)
% 0.10/0.40 % (29018)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.10/0.40 % (29023)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.10/0.41 % (29037)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.10/0.41 % (29026)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)
% 0.10/0.41 % (29044)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.10/0.42 % (29019)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.10/0.42 % (29024)First to succeed.
% 0.10/0.42 % (29024)Refutation found. Thanks to Tanya!
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.42 % (29024)------------------------------
% 0.10/0.42 % (29024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (29024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42 % (29024)Termination reason: Refutation
% 0.10/0.42
% 0.10/0.42 % (29024)Memory used [KB]: 5884
% 0.10/0.42 % (29024)Time elapsed: 0.108 s
% 0.10/0.42 % (29024)Instructions burned: 2 (million)
% 0.10/0.42 % (29024)------------------------------
% 0.10/0.42 % (29024)------------------------------
% 0.10/0.42 % (29016)Success in time 0.162 s
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