TSTP Solution File: GEO182+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO182+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 : 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 16:09:00 EDT 2022
% Result : Theorem 1.75s 0.60s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 31 ~; 45 |; 10 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 85 ( 79 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(unit_resulting_resolution,[],[f45,f79,f60,f59,f80,f69,f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X1,X3,X2,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X3,X2,X0] :
( ( distinct_points(X1,X3)
& distinct_lines(X2,X0) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f69,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f44,f46,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X1)
=> ( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f46,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
? [X1,X2,X0] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> apart_point_and_line(X0,line_connecting(X1,X2)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f44,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f41]) ).
fof(f80,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f52,f62,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X0,line_connecting(X1,X2))
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f62,plain,
distinct_points(sK0,sK1),
inference(unit_resulting_resolution,[],[f52,f45,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ~ distinct_points(X1,X0)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f52,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f59,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f52,f45,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f52,f45,f42]) ).
fof(f79,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f52,f62,f43]) ).
fof(f45,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % 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 21:28:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (4303)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (4304)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.57 % (4319)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57 % (4313)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (4321)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (4311)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)
% 0.20/0.57 % (4305)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.57 % (4313)Refutation not found, incomplete strategy% (4313)------------------------------
% 0.20/0.57 % (4313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (4313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (4313)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (4311)Instruction limit reached!
% 0.20/0.57 % (4311)------------------------------
% 0.20/0.57 % (4311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (4313)Memory used [KB]: 5884
% 0.20/0.57 % (4313)Time elapsed: 0.134 s
% 0.20/0.57 % (4313)Instructions burned: 2 (million)
% 0.20/0.57 % (4313)------------------------------
% 0.20/0.57 % (4313)------------------------------
% 0.20/0.58 % (4311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (4311)Termination reason: Unknown
% 0.20/0.58 % (4311)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (4311)Memory used [KB]: 5884
% 0.20/0.58 % (4311)Time elapsed: 0.147 s
% 0.20/0.58 % (4311)Instructions burned: 4 (million)
% 0.20/0.58 % (4311)------------------------------
% 0.20/0.58 % (4311)------------------------------
% 1.75/0.58 % (4312)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.59 % (4312)Instruction limit reached!
% 1.75/0.59 % (4312)------------------------------
% 1.75/0.59 % (4312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (4312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (4312)Termination reason: Unknown
% 1.75/0.59 % (4312)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (4312)Memory used [KB]: 5884
% 1.75/0.59 % (4312)Time elapsed: 0.160 s
% 1.75/0.59 % (4312)Instructions burned: 7 (million)
% 1.75/0.59 % (4312)------------------------------
% 1.75/0.59 % (4312)------------------------------
% 1.75/0.59 % (4320)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)
% 1.75/0.59 % (4305)First to succeed.
% 1.75/0.60 % (4305)Refutation found. Thanks to Tanya!
% 1.75/0.60 % SZS status Theorem for theBenchmark
% 1.75/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.60 % (4305)------------------------------
% 1.75/0.60 % (4305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (4305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (4305)Termination reason: Refutation
% 1.75/0.60
% 1.75/0.60 % (4305)Memory used [KB]: 6012
% 1.75/0.60 % (4305)Time elapsed: 0.148 s
% 1.75/0.60 % (4305)Instructions burned: 7 (million)
% 1.75/0.60 % (4305)------------------------------
% 1.75/0.60 % (4305)------------------------------
% 1.75/0.60 % (4296)Success in time 0.235 s
%------------------------------------------------------------------------------