TSTP Solution File: GEO220+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO220+2 : 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 : n027.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 1.52s 0.55s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 37 ~; 9 |; 17 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 40 ( 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f104,f71]) ).
fof(f71,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ~ unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& convergent_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X1,X0,X2] :
( ~ unorthogonal_lines(X2,X0)
& ~ unorthogonal_lines(X2,X1)
& convergent_lines(X1,X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X0)
& ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0) )
=> ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X7,X6,X5] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X7,X6,X5] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f104,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f95,f72]) ).
fof(f72,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f95,plain,
! [X1] :
( unorthogonal_lines(sK2,X1)
| ~ convergent_lines(X1,sK1) ),
inference(resolution,[],[f67,f73]) ).
fof(f73,plain,
~ unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f67,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X0,X2)
| ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( ( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0) )
=> ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X6,X7,X5] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',couo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n027.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 21:46:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.32/0.54 % (20293)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)
% 1.32/0.54 % (20283)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.54 % (20295)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)
% 1.32/0.54 % (20286)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.55 % (20295)First to succeed.
% 1.52/0.55 % (20295)Refutation found. Thanks to Tanya!
% 1.52/0.55 % SZS status Theorem for theBenchmark
% 1.52/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.55 % (20295)------------------------------
% 1.52/0.55 % (20295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (20295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (20295)Termination reason: Refutation
% 1.52/0.55
% 1.52/0.55 % (20295)Memory used [KB]: 5500
% 1.52/0.55 % (20295)Time elapsed: 0.127 s
% 1.52/0.55 % (20295)Instructions burned: 2 (million)
% 1.52/0.55 % (20295)------------------------------
% 1.52/0.55 % (20295)------------------------------
% 1.52/0.55 % (20278)Success in time 0.196 s
%------------------------------------------------------------------------------