TSTP Solution File: SET096-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET096-6 : 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 : n023.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 18:19:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 44 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(subsumption_resolution,[],[f171,f162]) ).
fof(f162,plain,
member(y,x),
inference(subsumption_resolution,[],[f161,f93]) ).
fof(f93,axiom,
null_class != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f161,plain,
( null_class = x
| member(y,x) ),
inference(superposition,[],[f66,f158]) ).
fof(f158,plain,
y = regular(x),
inference(subsumption_resolution,[],[f157,f93]) ).
fof(f157,plain,
( null_class = x
| y = regular(x) ),
inference(resolution,[],[f154,f66]) ).
fof(f154,plain,
! [X0] :
( ~ member(X0,x)
| y = X0 ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ member(X0,x)
| y = X0
| y = X0 ),
inference(resolution,[],[f149,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f149,plain,
! [X0] :
( member(X0,unordered_pair(y,y))
| ~ member(X0,x) ),
inference(resolution,[],[f106,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f106,plain,
subclass(x,unordered_pair(y,y)),
inference(definition_unfolding,[],[f92,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f171,plain,
~ member(y,x),
inference(backward_demodulation,[],[f151,f166]) ).
fof(f166,plain,
y = not_subclass_element(unordered_pair(y,y),x),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f165,plain,
( y = not_subclass_element(unordered_pair(y,y),x)
| y = not_subclass_element(unordered_pair(y,y),x) ),
inference(resolution,[],[f152,f8]) ).
fof(f152,plain,
member(not_subclass_element(unordered_pair(y,y),x),unordered_pair(y,y)),
inference(resolution,[],[f150,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f150,plain,
~ subclass(unordered_pair(y,y),x),
inference(subsumption_resolution,[],[f148,f105]) ).
fof(f105,plain,
x != unordered_pair(y,y),
inference(definition_unfolding,[],[f94,f12]) ).
fof(f94,axiom,
x != singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f148,plain,
( x = unordered_pair(y,y)
| ~ subclass(unordered_pair(y,y),x) ),
inference(resolution,[],[f106,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f151,plain,
~ member(not_subclass_element(unordered_pair(y,y),x),x),
inference(resolution,[],[f150,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET096-6 : 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
% 0.13/0.34 % Computer : n023.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 13:37:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (31073)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)
% 0.20/0.50 % (31078)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)
% 0.20/0.51 % (31081)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)
% 0.20/0.51 % (31074)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)
% 0.20/0.52 % (31073)First to succeed.
% 0.20/0.52 % (31074)Instruction limit reached!
% 0.20/0.52 % (31074)------------------------------
% 0.20/0.52 % (31074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31083)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)
% 0.20/0.52 % (31074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31074)Termination reason: Unknown
% 0.20/0.52 % (31074)Termination phase: Equality proxy
% 0.20/0.52
% 0.20/0.52 % (31074)Memory used [KB]: 1407
% 0.20/0.52 % (31074)Time elapsed: 0.004 s
% 0.20/0.52 % (31074)Instructions burned: 5 (million)
% 0.20/0.52 % (31074)------------------------------
% 0.20/0.52 % (31074)------------------------------
% 0.20/0.52 % (31072)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (31087)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)
% 0.20/0.53 % (31087)Instruction limit reached!
% 0.20/0.53 % (31087)------------------------------
% 0.20/0.53 % (31087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31087)Termination reason: Unknown
% 0.20/0.53 % (31087)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (31087)Memory used [KB]: 1535
% 0.20/0.53 % (31087)Time elapsed: 0.003 s
% 0.20/0.53 % (31087)Instructions burned: 6 (million)
% 0.20/0.53 % (31087)------------------------------
% 0.20/0.53 % (31087)------------------------------
% 0.20/0.53 % (31073)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (31073)------------------------------
% 0.20/0.53 % (31073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31073)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (31073)Memory used [KB]: 1791
% 0.20/0.53 % (31073)Time elapsed: 0.111 s
% 0.20/0.53 % (31073)Instructions burned: 14 (million)
% 0.20/0.53 % (31073)------------------------------
% 0.20/0.53 % (31073)------------------------------
% 0.20/0.53 % (31071)Success in time 0.174 s
%------------------------------------------------------------------------------