TSTP Solution File: SET090-7 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET090-7 : 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_sat --cores 0 -t %d %s
% Computer : n014.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 18:23:38 EDT 2022
% Result : Unsatisfiable 1.65s 0.60s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(subsumption_resolution,[],[f229,f149]) ).
fof(f149,plain,
u != member_of(unordered_pair(u,u)),
inference(definition_unfolding,[],[f135,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f135,axiom,
u != member_of(singleton(u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
fof(f229,plain,
u = member_of(unordered_pair(u,u)),
inference(trivial_inequality_removal,[],[f225]) ).
fof(f225,plain,
( unordered_pair(u,u) != unordered_pair(u,u)
| u = member_of(unordered_pair(u,u)) ),
inference(superposition,[],[f215,f219]) ).
fof(f219,plain,
unordered_pair(u,u) = unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u))),
inference(resolution,[],[f158,f134]) ).
fof(f134,axiom,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
fof(f158,plain,
! [X1] :
( ~ member(X1,universal_class)
| unordered_pair(X1,X1) = unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))) ),
inference(definition_unfolding,[],[f131,f12,f12,f12]) ).
fof(f131,axiom,
! [X1] :
( ~ member(X1,universal_class)
| singleton(X1) = singleton(member_of(singleton(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).
fof(f215,plain,
! [X0] :
( unordered_pair(X0,X0) != unordered_pair(u,u)
| u = X0 ),
inference(resolution,[],[f176,f134]) ).
fof(f176,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| X0 = X1
| unordered_pair(X0,X0) != unordered_pair(X1,X1) ),
inference(definition_unfolding,[],[f128,f12,f12]) ).
fof(f128,axiom,
! [X0,X1] :
( X0 = X1
| singleton(X0) != singleton(X1)
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:14:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (24220)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.55 % (24221)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (24203)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (24212)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (24204)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (24213)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (24205)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (24204)Instruction limit reached!
% 0.21/0.56 % (24204)------------------------------
% 0.21/0.56 % (24204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (24204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (24204)Termination reason: Unknown
% 0.21/0.56 % (24204)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (24205)Instruction limit reached!
% 0.21/0.56 % (24205)------------------------------
% 0.21/0.56 % (24205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (24204)Memory used [KB]: 5500
% 0.21/0.56 % (24204)Time elapsed: 0.126 s
% 0.21/0.56 % (24204)Instructions burned: 7 (million)
% 0.21/0.56 % (24204)------------------------------
% 0.21/0.56 % (24204)------------------------------
% 0.21/0.56 % (24205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (24205)Termination reason: Unknown
% 0.21/0.56 % (24205)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (24205)Memory used [KB]: 1023
% 0.21/0.56 % (24205)Time elapsed: 0.003 s
% 0.21/0.56 % (24205)Instructions burned: 3 (million)
% 0.21/0.56 % (24205)------------------------------
% 0.21/0.56 % (24205)------------------------------
% 0.21/0.56 % (24211)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56 % (24219)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.65/0.59 % (24220)First to succeed.
% 1.65/0.60 % (24220)Refutation found. Thanks to Tanya!
% 1.65/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.60 % (24220)------------------------------
% 1.65/0.60 % (24220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (24220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (24220)Termination reason: Refutation
% 1.65/0.60
% 1.65/0.60 % (24220)Memory used [KB]: 6012
% 1.65/0.60 % (24220)Time elapsed: 0.160 s
% 1.65/0.60 % (24220)Instructions burned: 20 (million)
% 1.65/0.60 % (24220)------------------------------
% 1.65/0.60 % (24220)------------------------------
% 1.65/0.60 % (24196)Success in time 0.231 s
%------------------------------------------------------------------------------