TSTP Solution File: GEO218+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO218+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 : n010.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 16:12:20 EDT 2022
% Result : Theorem 1.76s 0.58s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 66 ~; 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 : 71 ( 59 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(resolution,[],[f149,f92]) ).
fof(f92,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f84,f86]) ).
fof(f86,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1)
& unorthogonal_lines(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f63,f64]) ).
fof(f64,plain,
( ? [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1)
& unorthogonal_lines(X2,X1) )
=> ( ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1)
& unorthogonal_lines(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1)
& unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
? [X2,X1,X0] :
( ~ convergent_lines(X2,X0)
& ~ unorthogonal_lines(X2,X1)
& unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X2,X0,X1] :
( unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X2,X1)
& ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X2,X0,X1] :
( ( ~ unorthogonal_lines(X2,X1)
& ~ convergent_lines(X2,X0) )
=> ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X6,X7,X5] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ convergent_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X6,X7,X5] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ convergent_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f84,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
~ ( ~ convergent_lines(X1,X0)
& ~ unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X6,X5] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f149,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f147,f102]) ).
fof(f102,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(sK0,X0) ),
inference(resolution,[],[f88,f87]) ).
fof(f87,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f88,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f147,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f139,f103]) ).
fof(f103,plain,
! [X2,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[],[f88,f82]) ).
fof(f82,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f139,plain,
~ convergent_lines(sK2,sK1),
inference(resolution,[],[f138,f85]) ).
fof(f85,plain,
unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f138,plain,
( ~ unorthogonal_lines(sK2,sK1)
| ~ convergent_lines(sK2,sK1) ),
inference(resolution,[],[f132,f86]) ).
fof(f132,plain,
! [X0] :
( unorthogonal_lines(sK0,X0)
| ~ convergent_lines(sK2,X0)
| ~ unorthogonal_lines(sK2,X0) ),
inference(resolution,[],[f74,f87]) ).
fof(f74,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X0)
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| ( unorthogonal_lines(X2,X1)
& convergent_lines(X2,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X1,X0)
| ~ convergent_lines(X1,X0) )
& ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ) )
=> ( ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X6,X5,X7] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : n010.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 21:22:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (24262)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.56 % (24262)Refutation not found, incomplete strategy% (24262)------------------------------
% 1.60/0.56 % (24262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (24273)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.60/0.56 % (24262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (24262)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.56
% 1.60/0.56 % (24262)Memory used [KB]: 5373
% 1.60/0.56 % (24262)Time elapsed: 0.146 s
% 1.60/0.56 % (24262)Instructions burned: 2 (million)
% 1.60/0.56 % (24262)------------------------------
% 1.60/0.56 % (24262)------------------------------
% 1.60/0.57 % (24261)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.60/0.57 % (24286)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.60/0.57 % (24267)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)
% 1.60/0.57 % (24270)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)
% 1.76/0.57 TRYING [1]
% 1.76/0.57 TRYING [2]
% 1.76/0.57 TRYING [3]
% 1.76/0.58 % (24288)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.76/0.58 % (24265)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.58 % (24270)First to succeed.
% 1.76/0.58 % (24286)Also succeeded, but the first one will report.
% 1.76/0.58 % (24277)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)
% 1.76/0.58 % (24290)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.76/0.58 % (24270)Refutation found. Thanks to Tanya!
% 1.76/0.58 % SZS status Theorem for theBenchmark
% 1.76/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.58 % (24270)------------------------------
% 1.76/0.58 % (24270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58 % (24270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58 % (24270)Termination reason: Refutation
% 1.76/0.58
% 1.76/0.58 % (24270)Memory used [KB]: 1023
% 1.76/0.58 % (24270)Time elapsed: 0.159 s
% 1.76/0.58 % (24270)Instructions burned: 4 (million)
% 1.76/0.58 % (24270)------------------------------
% 1.76/0.58 % (24270)------------------------------
% 1.76/0.58 % (24260)Success in time 0.231 s
%------------------------------------------------------------------------------