TSTP Solution File: GEO196+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n002.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 16:12:13 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 132 ( 47 ~; 36 |; 38 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 88 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f394,plain,
$false,
inference(resolution,[],[f387,f331]) ).
fof(f331,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f208,f138]) ).
fof(f138,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f208,plain,
! [X6,X7,X5] :
( apart_point_and_line(X5,parallel_through_point(X6,X7))
| ~ apart_point_and_line(X5,X6) ),
inference(resolution,[],[f157,f198]) ).
fof(f198,plain,
! [X3,X4] : ~ distinct_lines(X3,parallel_through_point(X3,X4)),
inference(resolution,[],[f196,f165]) ).
fof(f165,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f196,plain,
! [X2,X1] : ~ convergent_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f193,f176]) ).
fof(f176,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f165,f140]) ).
fof(f140,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f193,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f143,f135]) ).
fof(f135,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f143,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X0)
=> ( distinct_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f157,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f387,plain,
apart_point_and_line(intersection_point(sK3,sK2),sK0),
inference(resolution,[],[f354,f128]) ).
fof(f128,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X0] :
( ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) )
& ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f354,plain,
~ incident_point_and_line(intersection_point(sK3,sK2),sK0),
inference(resolution,[],[f331,f172]) ).
fof(f172,plain,
( apart_point_and_line(intersection_point(sK3,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK3,sK2),sK0) ),
inference(resolution,[],[f128,f151]) ).
fof(f151,plain,
( ~ incident_point_and_line(intersection_point(sK3,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK3,sK2),sK0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( incident_point_and_line(intersection_point(sK1,sK0),sK3)
& convergent_lines(sK3,sK2)
& ( ~ incident_point_and_line(intersection_point(sK3,sK2),sK0)
| ~ incident_point_and_line(intersection_point(sK3,sK2),sK1) )
& incident_point_and_line(intersection_point(sK1,sK0),sK2)
& convergent_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f115,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2,X3] :
( incident_point_and_line(intersection_point(X1,X0),X3)
& convergent_lines(X3,X2)
& ( ~ incident_point_and_line(intersection_point(X3,X2),X0)
| ~ incident_point_and_line(intersection_point(X3,X2),X1) )
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0) )
=> ( incident_point_and_line(intersection_point(sK1,sK0),sK3)
& convergent_lines(sK3,sK2)
& ( ~ incident_point_and_line(intersection_point(sK3,sK2),sK0)
| ~ incident_point_and_line(intersection_point(sK3,sK2),sK1) )
& incident_point_and_line(intersection_point(sK1,sK0),sK2)
& convergent_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
? [X0,X1,X2,X3] :
( incident_point_and_line(intersection_point(X1,X0),X3)
& convergent_lines(X3,X2)
& ( ~ incident_point_and_line(intersection_point(X3,X2),X0)
| ~ incident_point_and_line(intersection_point(X3,X2),X1) )
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X1,X2,X0,X3] :
( incident_point_and_line(intersection_point(X2,X1),X3)
& convergent_lines(X3,X0)
& ( ~ incident_point_and_line(intersection_point(X3,X0),X1)
| ~ incident_point_and_line(intersection_point(X3,X0),X2) )
& incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X2,X0,X3,X1] :
( ( ~ incident_point_and_line(intersection_point(X3,X0),X1)
| ~ incident_point_and_line(intersection_point(X3,X0),X2) )
& incident_point_and_line(intersection_point(X2,X1),X3)
& convergent_lines(X2,X1)
& incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X3,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X2,X0,X3,X1] :
( ( incident_point_and_line(intersection_point(X2,X1),X3)
& convergent_lines(X2,X1)
& incident_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X3,X0) )
=> ( incident_point_and_line(intersection_point(X3,X0),X1)
& incident_point_and_line(intersection_point(X3,X0),X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X1,X0,X3] :
( ( convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X1,X0,X3] :
( ( convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n002.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 21:41:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (24981)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)
% 0.20/0.50 % (24985)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)
% 0.20/0.50 % (24981)Refutation not found, incomplete strategy% (24981)------------------------------
% 0.20/0.50 % (24981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (24988)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (24988)Instruction limit reached!
% 0.20/0.50 % (24988)------------------------------
% 0.20/0.50 % (24988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (24988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24988)Termination reason: Unknown
% 0.20/0.50 % (24988)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (24988)Memory used [KB]: 895
% 0.20/0.50 % (24988)Time elapsed: 0.002 s
% 0.20/0.50 % (24988)Instructions burned: 2 (million)
% 0.20/0.50 % (24988)------------------------------
% 0.20/0.50 % (24988)------------------------------
% 0.20/0.50 % (24981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24981)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50 % (24989)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)
% 0.20/0.50
% 0.20/0.50 % (24981)Memory used [KB]: 5500
% 0.20/0.50 % (24981)Time elapsed: 0.095 s
% 0.20/0.50 % (24981)Instructions burned: 4 (million)
% 0.20/0.50 % (24981)------------------------------
% 0.20/0.50 % (24981)------------------------------
% 0.20/0.51 % (24997)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (25001)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (24984)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (24986)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (24989)First to succeed.
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (24989)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (24989)------------------------------
% 0.20/0.51 % (24989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24989)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (24989)Memory used [KB]: 1151
% 0.20/0.51 % (24989)Time elapsed: 0.113 s
% 0.20/0.51 % (24989)Instructions burned: 9 (million)
% 0.20/0.51 % (24989)------------------------------
% 0.20/0.51 % (24989)------------------------------
% 0.20/0.51 % (24979)Success in time 0.16 s
%------------------------------------------------------------------------------