TSTP Solution File: SET085-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET085-6 : 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 18:19:01 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 18 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f105,f95]) ).
fof(f95,axiom,
z != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
fof(f105,plain,
z = x,
inference(subsumption_resolution,[],[f104,f94]) ).
fof(f94,axiom,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
fof(f104,plain,
( y = x
| z = x ),
inference(resolution,[],[f103,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f103,plain,
member(x,unordered_pair(y,z)),
inference(subsumption_resolution,[],[f101,f93]) ).
fof(f93,axiom,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
fof(f101,plain,
( member(x,unordered_pair(y,z))
| ~ member(x,universal_class) ),
inference(superposition,[],[f10,f97]) ).
fof(f97,plain,
unordered_pair(y,z) = unordered_pair(x,x),
inference(definition_unfolding,[],[f92,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET085-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 13:12:52 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.18/0.47 % (10771)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)
% 0.18/0.47 % (10770)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)
% 0.18/0.47 % (10774)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.47 % (10770)Instruction limit reached!
% 0.18/0.47 % (10770)------------------------------
% 0.18/0.47 % (10770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (10770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (10770)Termination reason: Unknown
% 0.18/0.47 % (10770)Termination phase: Property scanning
% 0.18/0.47
% 0.18/0.47 % (10770)Memory used [KB]: 1407
% 0.18/0.47 % (10770)Time elapsed: 0.003 s
% 0.18/0.47 % (10770)Instructions burned: 3 (million)
% 0.18/0.47 % (10770)------------------------------
% 0.18/0.47 % (10770)------------------------------
% 0.18/0.48 % (10769)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)
% 0.18/0.48 % (10763)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)
% 0.18/0.48 % (10785)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)
% 0.18/0.48 % (10777)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)
% 0.18/0.48 % (10762)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.48 % (10778)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (10778)Instruction limit reached!
% 0.18/0.48 % (10778)------------------------------
% 0.18/0.48 % (10778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (10778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (10778)Termination reason: Unknown
% 0.18/0.48 % (10778)Termination phase: Function definition elimination
% 0.18/0.48
% 0.18/0.48 % (10778)Memory used [KB]: 1407
% 0.18/0.48 % (10778)Time elapsed: 0.003 s
% 0.18/0.48 % (10778)Instructions burned: 2 (million)
% 0.18/0.48 % (10778)------------------------------
% 0.18/0.48 % (10778)------------------------------
% 0.18/0.49 % (10764)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)
% 0.18/0.49 % (10767)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49 % (10764)Instruction limit reached!
% 0.18/0.49 % (10764)------------------------------
% 0.18/0.49 % (10764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (10764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (10764)Termination reason: Unknown
% 0.18/0.49 % (10764)Termination phase: Property scanning
% 0.18/0.49
% 0.18/0.49 % (10764)Memory used [KB]: 1407
% 0.18/0.49 % (10764)Time elapsed: 0.003 s
% 0.18/0.49 % (10764)Instructions burned: 4 (million)
% 0.18/0.49 % (10764)------------------------------
% 0.18/0.49 % (10764)------------------------------
% 0.18/0.49 % (10766)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.49 % (10769)First to succeed.
% 0.18/0.49 % (10775)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)
% 0.18/0.50 % (10773)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)
% 0.18/0.50 % (10774)Instruction limit reached!
% 0.18/0.50 % (10774)------------------------------
% 0.18/0.50 % (10774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10774)Termination reason: Unknown
% 0.18/0.50 % (10774)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (10774)Memory used [KB]: 6012
% 0.18/0.50 % (10774)Time elapsed: 0.005 s
% 0.18/0.50 % (10774)Instructions burned: 6 (million)
% 0.18/0.50 % (10774)------------------------------
% 0.18/0.50 % (10774)------------------------------
% 0.18/0.50 % (10777)Instruction limit reached!
% 0.18/0.50 % (10777)------------------------------
% 0.18/0.50 % (10777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10769)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (10769)------------------------------
% 0.18/0.50 % (10769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10769)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (10769)Memory used [KB]: 5884
% 0.18/0.50 % (10769)Time elapsed: 0.114 s
% 0.18/0.50 % (10769)Instructions burned: 2 (million)
% 0.18/0.50 % (10769)------------------------------
% 0.18/0.50 % (10769)------------------------------
% 0.18/0.50 % (10761)Success in time 0.16 s
%------------------------------------------------------------------------------