TSTP Solution File: GEO221+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO221+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_uns --cores 0 -t %d %s
% Computer : n020.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 16:09:20 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 22 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f82,f75]) ).
fof(f75,plain,
distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0))
& ~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X1,X2),orthogonal_through_point(X1,X0))
& ~ apart_point_and_line(X0,orthogonal_through_point(X1,X2)) )
=> ( distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0))
& ~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X1,X2),orthogonal_through_point(X1,X0))
& ~ apart_point_and_line(X0,orthogonal_through_point(X1,X2)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X2,X1] :
( ~ apart_point_and_line(X0,orthogonal_through_point(X1,X2))
=> ~ distinct_lines(orthogonal_through_point(X1,X2),orthogonal_through_point(X1,X0)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X9,X5,X8] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X9,X5,X8] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f82,plain,
~ distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f73,f66,f73,f74,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X3)
| unorthogonal_lines(X1,X0)
| unorthogonal_lines(X3,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X3,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,X3)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X1,X3,X0] :
( unorthogonal_lines(X0,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X0)
| unorthogonal_lines(X1,X2) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X3,X0)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X3,X0,X2,X1] :
( distinct_lines(X1,X0)
=> ( apart_point_and_line(X3,X0)
| unorthogonal_lines(X1,X2)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X5,X7,X8] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5)
| unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
fof(f74,plain,
~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2)),
inference(cnf_transformation,[],[f61]) ).
fof(f66,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f73,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO221+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_uns --cores 0 -t %d %s
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 29 21:33:00 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.20/0.52 % (19362)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (19353)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (19343)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (19343)Instruction limit reached!
% 0.20/0.53 % (19343)------------------------------
% 0.20/0.53 % (19343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19359)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (19342)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (19353)Instruction limit reached!
% 0.20/0.54 % (19353)------------------------------
% 0.20/0.54 % (19353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19353)Termination reason: Unknown
% 0.20/0.54 % (19353)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (19353)Memory used [KB]: 5884
% 0.20/0.54 % (19339)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (19353)Time elapsed: 0.123 s
% 0.20/0.54 % (19353)Instructions burned: 3 (million)
% 0.20/0.54 % (19353)------------------------------
% 0.20/0.54 % (19353)------------------------------
% 0.20/0.54 % (19341)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (19342)First to succeed.
% 0.20/0.54 % (19341)Instruction limit reached!
% 0.20/0.54 % (19341)------------------------------
% 0.20/0.54 % (19341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19341)Termination reason: Unknown
% 0.20/0.54 % (19341)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (19341)Memory used [KB]: 5884
% 0.20/0.54 % (19341)Time elapsed: 0.119 s
% 0.20/0.54 % (19341)Instructions burned: 3 (million)
% 0.20/0.54 % (19341)------------------------------
% 0.20/0.54 % (19341)------------------------------
% 0.20/0.54 % (19342)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (19342)------------------------------
% 0.20/0.54 % (19342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19342)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (19342)Memory used [KB]: 5884
% 0.20/0.54 % (19342)Time elapsed: 0.121 s
% 0.20/0.54 % (19342)Instructions burned: 2 (million)
% 0.20/0.54 % (19342)------------------------------
% 0.20/0.54 % (19342)------------------------------
% 0.20/0.54 % (19338)Success in time 0.184 s
%------------------------------------------------------------------------------