TSTP Solution File: GEO219+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO219+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 : n022.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 1.75s 0.59s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 56 ~; 35 |; 25 &)
% ( 0 <=>; 8 =>; 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 : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f149,f82]) ).
fof(f82,plain,
~ convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ~ convergent_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f61,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X0,X1) )
=> ( ~ convergent_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
? [X2,X1,X0] :
( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2)
& unorthogonal_lines(X2,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X2,X1)
& ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X7,X6] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,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(f149,plain,
convergent_lines(sK2,sK1),
inference(resolution,[],[f130,f81]) ).
fof(f81,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f63]) ).
fof(f130,plain,
! [X0] :
( unorthogonal_lines(X0,sK0)
| convergent_lines(X0,sK1) ),
inference(subsumption_resolution,[],[f127,f92]) ).
fof(f92,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f91,f82]) ).
fof(f91,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f76,f87]) ).
fof(f87,plain,
convergent_lines(sK2,sK0),
inference(resolution,[],[f67,f81]) ).
fof(f67,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X1,X0)
& ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X6,X5] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f127,plain,
! [X0] :
( ~ convergent_lines(sK0,sK1)
| convergent_lines(X0,sK1)
| unorthogonal_lines(X0,sK0) ),
inference(resolution,[],[f73,f80]) ).
fof(f80,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| unorthogonal_lines(X0,X2)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ( unorthogonal_lines(X2,X1)
& convergent_lines(X2,X1) )
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
| ~ convergent_lines(X1,X0)
| ~ unorthogonal_lines(X1,X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( ~ unorthogonal_lines(X1,X0)
| ~ convergent_lines(X1,X0)
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
| ( unorthogonal_lines(X2,X1)
& convergent_lines(X2,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ( ( ~ unorthogonal_lines(X2,X0)
| ~ convergent_lines(X2,X0) )
& ( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1) ) )
=> ( ~ unorthogonal_lines(X1,X0)
| ~ convergent_lines(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X7,X6,X5] :
( ( ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) )
& ( ~ convergent_lines(X5,X7)
| ~ unorthogonal_lines(X5,X7) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO219+2 : 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 : n022.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 21:31:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.55 % (4197)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57 % (4205)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.58 % (4206)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)
% 0.21/0.58 % (4198)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58 TRYING [1]
% 0.21/0.58 TRYING [2]
% 0.21/0.58 TRYING [3]
% 0.21/0.58 % (4190)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 % (4183)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (4189)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.59 % (4198)First to succeed.
% 1.75/0.59 % (4193)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.59 % (4192)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.75/0.59 % (4194)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)
% 1.75/0.59 % (4198)Refutation found. Thanks to Tanya!
% 1.75/0.59 % SZS status Theorem for theBenchmark
% 1.75/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.59 % (4198)------------------------------
% 1.75/0.59 % (4198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (4198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (4198)Termination reason: Refutation
% 1.75/0.59
% 1.75/0.59 % (4198)Memory used [KB]: 5500
% 1.75/0.59 % (4198)Time elapsed: 0.166 s
% 1.75/0.59 % (4198)Instructions burned: 4 (million)
% 1.75/0.59 % (4198)------------------------------
% 1.75/0.59 % (4198)------------------------------
% 1.75/0.59 % (4179)Success in time 0.243 s
%------------------------------------------------------------------------------