TSTP Solution File: SET101-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET101-6 : 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 : n016.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 18:19:13 EDT 2022
% Result : Unsatisfiable 1.67s 0.59s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 10 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(subsumption_resolution,[],[f165,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f165,plain,
~ member(unordered_pair(x,x),universal_class),
inference(resolution,[],[f112,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f112,plain,
~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
inference(definition_unfolding,[],[f92,f12,f97]) ).
fof(f97,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
~ member(singleton(x),ordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_member_of_ordered_pair_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET101-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.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 13:56:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (2020)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)
% 0.20/0.57 % (2012)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)
% 0.20/0.57 % (2004)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)
% 0.20/0.57 % (2004)Refutation not found, incomplete strategy% (2004)------------------------------
% 0.20/0.57 % (2004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (2004)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (2004)Memory used [KB]: 5884
% 0.20/0.57 % (2004)Time elapsed: 0.135 s
% 0.20/0.57 % (2004)Instructions burned: 2 (million)
% 0.20/0.57 % (2004)------------------------------
% 0.20/0.57 % (2004)------------------------------
% 0.20/0.57 % (2003)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)
% 0.20/0.58 % (2019)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)
% 0.20/0.58 % (2012)Instruction limit reached!
% 0.20/0.58 % (2012)------------------------------
% 0.20/0.58 % (2012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (2012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2012)Termination reason: Unknown
% 0.20/0.58 % (2012)Termination phase: Finite model building preprocessing
% 0.20/0.58
% 0.20/0.58 % (2012)Memory used [KB]: 1535
% 0.20/0.58 % (2012)Time elapsed: 0.009 s
% 0.20/0.58 % (2012)Instructions burned: 6 (million)
% 0.20/0.58 % (2012)------------------------------
% 0.20/0.58 % (2012)------------------------------
% 0.20/0.58 % (2011)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)
% 0.20/0.58 % (2020)First to succeed.
% 1.67/0.59 % (2020)Refutation found. Thanks to Tanya!
% 1.67/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.59 % (2020)------------------------------
% 1.67/0.59 % (2020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (2020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (2020)Termination reason: Refutation
% 1.67/0.59
% 1.67/0.59 % (2020)Memory used [KB]: 6012
% 1.67/0.59 % (2020)Time elapsed: 0.148 s
% 1.67/0.59 % (2020)Instructions burned: 9 (million)
% 1.67/0.59 % (2020)------------------------------
% 1.67/0.59 % (2020)------------------------------
% 1.67/0.59 % (1996)Success in time 0.232 s
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