TSTP Solution File: GEO219+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n013.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 16:12:21 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 138 ( 62 ~; 42 |; 25 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f193]) ).
fof(f193,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f187,f79]) ).
fof(f79,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ~ unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK0,sK2)
& unorthogonal_lines(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f64,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2)
& unorthogonal_lines(X1,X2) )
=> ( ~ unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK0,sK2)
& unorthogonal_lines(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2)
& unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
? [X0,X2,X1] :
( ~ unorthogonal_lines(X0,X2)
& ~ convergent_lines(X0,X1)
& unorthogonal_lines(X2,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X1,X0,X2] :
( unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X0,X2)
& ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X1,X0,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ convergent_lines(X0,X1) )
=> ~ unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X7,X6] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X7,X6] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f187,plain,
( convergent_lines(sK0,sK2)
| ~ spl3_1 ),
inference(resolution,[],[f183,f80]) ).
fof(f80,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f66]) ).
fof(f183,plain,
( ! [X0] :
( unorthogonal_lines(X0,sK1)
| convergent_lines(X0,sK2) )
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f173,f105]) ).
fof(f105,plain,
( convergent_lines(sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl3_1
<=> convergent_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f173,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(sK1,sK2)
| unorthogonal_lines(X0,sK1) ),
inference(resolution,[],[f91,f78]) ).
fof(f78,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| unorthogonal_lines(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ convergent_lines(X0,X2)
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ unorthogonal_lines(X0,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ convergent_lines(X2,X1)
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ~ unorthogonal_lines(X2,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1)
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) )
& ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) ) )
=> ( ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X7,X6] :
( ( ( ~ convergent_lines(X5,X7)
| ~ unorthogonal_lines(X5,X7) )
& ( ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) )
=> ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
fof(f113,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f111,f79]) ).
fof(f111,plain,
( convergent_lines(sK0,sK2)
| spl3_1 ),
inference(resolution,[],[f106,f96]) ).
fof(f96,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f84,f95]) ).
fof(f95,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f86,f80]) ).
fof(f86,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f106,plain,
( ~ convergent_lines(sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 : Mon Aug 29 21:26:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (16779)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50 % (16787)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (16771)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (16787)First to succeed.
% 0.20/0.51 % (16770)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (16763)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (16781)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)
% 0.20/0.52 % (16787)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16787)------------------------------
% 0.20/0.52 % (16787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16787)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16787)Memory used [KB]: 5500
% 0.20/0.52 % (16787)Time elapsed: 0.113 s
% 0.20/0.52 % (16787)Instructions burned: 6 (million)
% 0.20/0.52 % (16787)------------------------------
% 0.20/0.52 % (16787)------------------------------
% 0.20/0.52 % (16758)Success in time 0.166 s
%------------------------------------------------------------------------------