TSTP Solution File: SET075-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET075-7 : 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 : n026.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 18:18:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f157]) ).
fof(f157,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f156,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f129,f103]) ).
fof(f103,axiom,
! [X4] : ~ member(X4,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f129,plain,
( member(y,null_class)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl0_1
<=> member(y,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f152,plain,
spl0_1,
inference(avatar_split_clause,[],[f151,f127]) ).
fof(f151,plain,
member(y,null_class),
inference(forward_demodulation,[],[f149,f117]) ).
fof(f117,axiom,
null_class = unordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
fof(f149,plain,
member(y,unordered_pair(x,y)),
inference(resolution,[],[f116,f93]) ).
fof(f93,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_unordered_pair) ).
fof(f116,axiom,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET075-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:23:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (4979)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (4979)Instruction limit reached!
% 0.19/0.51 % (4979)------------------------------
% 0.19/0.51 % (4979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4975)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)
% 0.19/0.51 % (4979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4979)Termination reason: Unknown
% 0.19/0.51 % (4979)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (4979)Memory used [KB]: 1407
% 0.19/0.51 % (4979)Time elapsed: 0.005 s
% 0.19/0.51 % (4979)Instructions burned: 4 (million)
% 0.19/0.51 % (4979)------------------------------
% 0.19/0.51 % (4979)------------------------------
% 0.19/0.51 % (4995)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (4968)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)
% 0.19/0.51 % (4987)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.52 % (4968)Instruction limit reached!
% 0.19/0.52 % (4968)------------------------------
% 0.19/0.52 % (4968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4968)Termination reason: Unknown
% 0.19/0.52 % (4968)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (4968)Memory used [KB]: 1407
% 0.19/0.52 % (4968)Time elapsed: 0.004 s
% 0.19/0.52 % (4968)Instructions burned: 7 (million)
% 0.19/0.52 % (4968)------------------------------
% 0.19/0.52 % (4968)------------------------------
% 0.19/0.52 % (4987)First to succeed.
% 0.19/0.52 % (4991)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.52 % (4995)Also succeeded, but the first one will report.
% 0.19/0.52 % (4988)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)
% 0.19/0.52 % (4987)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (4987)------------------------------
% 0.19/0.52 % (4987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4987)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (4987)Memory used [KB]: 5884
% 0.19/0.52 % (4987)Time elapsed: 0.118 s
% 0.19/0.52 % (4987)Instructions burned: 2 (million)
% 0.19/0.52 % (4987)------------------------------
% 0.19/0.52 % (4987)------------------------------
% 0.19/0.52 % (4965)Success in time 0.178 s
%------------------------------------------------------------------------------