TSTP Solution File: GEO220+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO220+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 : n019.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 1.27s 0.52s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 33 ~; 9 |; 15 &)
% ( 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 : 37 ( 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(resolution,[],[f111,f81]) ).
fof(f81,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ~ unorthogonal_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ unorthogonal_lines(X1,X0) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ unorthogonal_lines(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2] :
( convergent_lines(X0,X2)
& ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X1,X0) )
=> ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X6,X5,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X6,X5,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f111,plain,
unorthogonal_lines(sK1,sK0),
inference(resolution,[],[f99,f83]) ).
fof(f83,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f99,plain,
! [X0] :
( unorthogonal_lines(X0,sK2)
| unorthogonal_lines(X0,sK0) ),
inference(resolution,[],[f77,f82]) ).
fof(f82,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X0)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( ( ~ unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',couo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+1 : 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
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:33:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (23405)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)
% 0.19/0.51 % (23401)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (23417)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (23425)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)
% 1.27/0.52 % (23396)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)
% 1.27/0.52 % (23425)First to succeed.
% 1.27/0.52 % (23408)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.27/0.52 % (23425)Refutation found. Thanks to Tanya!
% 1.27/0.52 % SZS status Theorem for theBenchmark
% 1.27/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.52 % (23425)------------------------------
% 1.27/0.52 % (23425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52 % (23425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52 % (23425)Termination reason: Refutation
% 1.27/0.52
% 1.27/0.52 % (23425)Memory used [KB]: 5500
% 1.27/0.52 % (23425)Time elapsed: 0.118 s
% 1.27/0.52 % (23425)Instructions burned: 2 (million)
% 1.27/0.52 % (23425)------------------------------
% 1.27/0.52 % (23425)------------------------------
% 1.27/0.52 % (23395)Success in time 0.168 s
%------------------------------------------------------------------------------