TSTP Solution File: GEO233+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n005.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 16:12:24 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 85 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 37 ~; 33 |; 3 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[f202,f206]) ).
fof(f206,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f203,f201]) ).
fof(f201,plain,
unequally_directed_lines(sK0,sF1),
inference(subsumption_resolution,[],[f190,f154]) ).
fof(f154,plain,
unequally_directed_lines(sF2,sK0),
inference(definition_folding,[],[f126,f153,f152]) ).
fof(f152,plain,
reverse_line(sK0) = sF1,
introduced(function_definition,[]) ).
fof(f153,plain,
reverse_line(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f126,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f86,f104]) ).
fof(f104,plain,
( ? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f190,plain,
( ~ unequally_directed_lines(sF2,sK0)
| unequally_directed_lines(sK0,sF1) ),
inference(resolution,[],[f186,f184]) ).
fof(f184,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sF1)
| ~ unequally_directed_lines(X0,sK0) ),
inference(superposition,[],[f157,f152]) ).
fof(f157,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f156,f140]) ).
fof(f140,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f156,plain,
! [X0,X1] :
( left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(subsumption_resolution,[],[f149,f140]) ).
fof(f149,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
fof(f186,plain,
! [X0] :
( unequally_directed_lines(sF2,X0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f138,f154]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X2,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X2,X0)
| unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X2,X1,X0] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f203,plain,
( ~ unequally_directed_lines(sK0,sF1)
| ~ spl3_4 ),
inference(resolution,[],[f195,f185]) ).
fof(f185,plain,
! [X1] :
( ~ unequally_directed_lines(X1,sF2)
| ~ unequally_directed_lines(X1,sF1) ),
inference(superposition,[],[f157,f153]) ).
fof(f195,plain,
( unequally_directed_lines(sK0,sF2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl3_4
<=> unequally_directed_lines(sK0,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f202,plain,
spl3_4,
inference(avatar_split_clause,[],[f187,f193]) ).
fof(f187,plain,
unequally_directed_lines(sK0,sF2),
inference(resolution,[],[f186,f143]) ).
fof(f143,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:32:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (12465)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.46 % (12465)Instruction limit reached!
% 0.18/0.46 % (12465)------------------------------
% 0.18/0.46 % (12465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (12465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (12465)Termination reason: Unknown
% 0.18/0.46 % (12465)Termination phase: Preprocessing 1
% 0.18/0.46
% 0.18/0.46 % (12465)Memory used [KB]: 895
% 0.18/0.46 % (12465)Time elapsed: 0.005 s
% 0.18/0.46 % (12465)Instructions burned: 2 (million)
% 0.18/0.46 % (12465)------------------------------
% 0.18/0.46 % (12465)------------------------------
% 0.18/0.47 % (12463)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)
% 0.18/0.48 TRYING [1]
% 0.18/0.48 TRYING [2]
% 0.18/0.48 TRYING [3]
% 0.18/0.49 TRYING [4]
% 0.18/0.49 % (12458)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.49 % (12482)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49 % (12473)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)
% 0.18/0.49 % (12477)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (12482)First to succeed.
% 0.18/0.50 % (12482)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (12482)------------------------------
% 0.18/0.50 % (12482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (12482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (12482)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (12482)Memory used [KB]: 5500
% 0.18/0.50 % (12482)Time elapsed: 0.111 s
% 0.18/0.50 % (12482)Instructions burned: 5 (million)
% 0.18/0.50 % (12482)------------------------------
% 0.18/0.50 % (12482)------------------------------
% 0.18/0.50 % (12454)Success in time 0.157 s
%------------------------------------------------------------------------------