TSTP Solution File: SET787-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET787-2 : TPTP v8.1.0. Released v2.7.0.
% 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 : n004.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 18:22:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 72 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 28 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f230,f242,f254,f258,f263,f269,f271]) ).
fof(f271,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f268,f161]) ).
fof(f161,plain,
~ member(sk2,a),
inference(resolution,[],[f17,f149]) ).
fof(f149,axiom,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
fof(f17,axiom,
! [X2,X0,X1] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f268,plain,
( member(sk2,a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_7
<=> member(sk2,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f269,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f264,f223,f251,f266]) ).
fof(f251,plain,
( spl0_6
<=> member(sk2,union(cons(a,cons(b,eptset)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f223,plain,
( spl0_1
<=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f264,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,a)
| ~ spl0_1 ),
inference(superposition,[],[f102,f225]) ).
fof(f225,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f102,axiom,
! [X0,X1] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f263,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f249,f160]) ).
fof(f160,plain,
~ member(sk2,b),
inference(resolution,[],[f16,f149]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f249,plain,
( member(sk2,b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_5
<=> member(sk2,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f258,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f253,f148]) ).
fof(f148,axiom,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f253,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| spl0_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f245,f238,f251,f247]) ).
fof(f238,plain,
( spl0_4
<=> b = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f245,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,b)
| ~ spl0_4 ),
inference(superposition,[],[f102,f240]) ).
fof(f240,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f231,f227,f238]) ).
fof(f227,plain,
( spl0_2
<=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f231,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(resolution,[],[f229,f94]) ).
fof(f94,axiom,
! [X0,X1] :
( ~ member(X0,cons(X1,eptset))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f229,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f220,f227,f223]) ).
fof(f220,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
inference(resolution,[],[f95,f169]) ).
fof(f169,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[],[f103,f148]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f95,axiom,
! [X2,X0,X1] :
( ~ member(X0,cons(X1,X2))
| member(X0,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET787-2 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % 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 : n004.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 14:16:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (12458)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.48 % (12482)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (12458)First to succeed.
% 0.20/0.49 % (12468)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)
% 0.20/0.50 % (12466)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)
% 0.20/0.50 % (12466)Instruction limit reached!
% 0.20/0.50 % (12466)------------------------------
% 0.20/0.50 % (12466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (12466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (12466)Termination reason: Unknown
% 0.20/0.50 % (12466)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (12466)Memory used [KB]: 1407
% 0.20/0.50 % (12466)Time elapsed: 0.003 s
% 0.20/0.50 % (12466)Instructions burned: 4 (million)
% 0.20/0.50 % (12466)------------------------------
% 0.20/0.50 % (12466)------------------------------
% 0.20/0.50 % (12454)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 % (12460)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)
% 0.20/0.50 % (12458)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (12458)------------------------------
% 0.20/0.50 % (12458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (12458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (12458)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (12458)Memory used [KB]: 6012
% 0.20/0.50 % (12458)Time elapsed: 0.094 s
% 0.20/0.50 % (12458)Instructions burned: 9 (million)
% 0.20/0.50 % (12458)------------------------------
% 0.20/0.50 % (12458)------------------------------
% 0.20/0.50 % (12452)Success in time 0.149 s
%------------------------------------------------------------------------------