TSTP Solution File: SET124-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET124-6 : 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 : n029.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 18:19:26 EDT 2022
% Result : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 23 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f216,plain,
$false,
inference(subsumption_resolution,[],[f214,f156]) ).
fof(f156,plain,
! [X0] : member(x,unordered_pair(X0,x)),
inference(resolution,[],[f10,f93]) ).
fof(f93,axiom,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn2_1) ).
fof(f10,axiom,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f214,plain,
~ member(x,unordered_pair(x,x)),
inference(resolution,[],[f210,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f210,plain,
member(x,complement(unordered_pair(x,x))),
inference(resolution,[],[f208,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f208,plain,
member(x,intersection(complement(unordered_pair(x,x)),complement(z))),
inference(subsumption_resolution,[],[f205,f93]) ).
fof(f205,plain,
( member(x,intersection(complement(unordered_pair(x,x)),complement(z)))
| ~ member(x,universal_class) ),
inference(resolution,[],[f25,f107]) ).
fof(f107,plain,
~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(z)))),
inference(definition_unfolding,[],[f94,f100]) ).
fof(f100,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f94,axiom,
~ member(x,set_builder(x,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn2_2) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET124-6 : 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
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:30:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.17/0.49 % (8170)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.17/0.50 % (8154)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.50 % (8150)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)
% 0.17/0.50 % (8152)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)
% 0.17/0.50 % (8152)Instruction limit reached!
% 0.17/0.50 % (8152)------------------------------
% 0.17/0.50 % (8152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8151)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)
% 0.17/0.51 % (8168)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.17/0.51 % (8157)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)
% 0.17/0.51 % (8154)Instruction limit reached!
% 0.17/0.51 % (8154)------------------------------
% 0.17/0.51 % (8154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8154)Termination reason: Unknown
% 0.17/0.51 % (8154)Termination phase: shuffling
% 0.17/0.51
% 0.17/0.51 % (8154)Memory used [KB]: 1407
% 0.17/0.51 % (8154)Time elapsed: 0.006 s
% 0.17/0.51 % (8154)Instructions burned: 6 (million)
% 0.17/0.51 % (8154)------------------------------
% 0.17/0.51 % (8154)------------------------------
% 0.17/0.51 % (8160)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)
% 0.17/0.51 % (8159)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)
% 0.17/0.51 % (8160)Instruction limit reached!
% 0.17/0.51 % (8160)------------------------------
% 0.17/0.51 % (8160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8160)Termination reason: Unknown
% 0.17/0.51 % (8160)Termination phase: Function definition elimination
% 0.17/0.51
% 0.17/0.51 % (8160)Memory used [KB]: 1407
% 0.17/0.51 % (8160)Time elapsed: 0.003 s
% 0.17/0.51 % (8160)Instructions burned: 2 (million)
% 0.17/0.51 % (8160)------------------------------
% 0.17/0.51 % (8160)------------------------------
% 0.17/0.51 % (8152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8152)Termination reason: Unknown
% 0.17/0.51 % (8152)Termination phase: Equality proxy
% 0.17/0.51
% 0.17/0.51 % (8152)Memory used [KB]: 1407
% 0.17/0.51 % (8152)Time elapsed: 0.004 s
% 0.17/0.51 % (8152)Instructions burned: 4 (million)
% 0.17/0.51 % (8152)------------------------------
% 0.17/0.51 % (8152)------------------------------
% 0.17/0.51 % (8159)Instruction limit reached!
% 0.17/0.51 % (8159)------------------------------
% 0.17/0.51 % (8159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8162)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.17/0.51 % (8151)Refutation not found, incomplete strategy% (8151)------------------------------
% 0.17/0.51 % (8151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8150)First to succeed.
% 0.17/0.51 % (8157)Instruction limit reached!
% 0.17/0.51 % (8157)------------------------------
% 0.17/0.51 % (8157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (8157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (8157)Termination reason: Unknown
% 0.17/0.51 % (8157)Termination phase: Property scanning
% 0.17/0.51
% 0.17/0.51 % (8157)Memory used [KB]: 1407
% 0.17/0.51 % (8157)Time elapsed: 0.004 s
% 0.17/0.51 % (8157)Instructions burned: 4 (million)
% 0.17/0.51 % (8157)------------------------------
% 0.17/0.51 % (8157)------------------------------
% 0.17/0.52 % (8167)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)
% 0.17/0.52 % (8151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (8151)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52 % (8151)Memory used [KB]: 5884
% 0.17/0.52 % (8151)Time elapsed: 0.006 s
% 0.17/0.52 % (8151)Instructions burned: 1 (million)
% 0.17/0.52 % (8151)------------------------------
% 0.17/0.52 % (8151)------------------------------
% 0.17/0.52 % (8150)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (8150)------------------------------
% 0.17/0.52 % (8150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (8150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (8150)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (8150)Memory used [KB]: 1535
% 0.17/0.52 % (8150)Time elapsed: 0.114 s
% 0.17/0.52 % (8150)Instructions burned: 8 (million)
% 0.17/0.52 % (8150)------------------------------
% 0.17/0.52 % (8150)------------------------------
% 0.17/0.52 % (8143)Success in time 0.167 s
%------------------------------------------------------------------------------