TSTP Solution File: GEO189+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO189+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 : n023.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 16:12:10 EDT 2022
% Result : Theorem 1.79s 0.59s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 154 ( 2 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 154 ( 51 ~; 61 |; 32 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(subsumption_resolution,[],[f227,f80]) ).
fof(f80,plain,
~ apart_point_and_line(sK1,sF4),
inference(subsumption_resolution,[],[f79,f59]) ).
fof(f59,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( distinct_points(sK1,sK0)
& distinct_points(sK0,sK2)
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2))
& ~ apart_point_and_line(sK2,line_connecting(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2] :
( distinct_points(X1,X0)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2))
& ~ apart_point_and_line(X2,line_connecting(X1,X0)) )
=> ( distinct_points(sK1,sK0)
& distinct_points(sK0,sK2)
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2))
& ~ apart_point_and_line(sK2,line_connecting(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( distinct_points(X1,X0)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2))
& ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0,X2] :
( distinct_points(X0,X1)
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& apart_point_and_line(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X1,X0,X2] :
( apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X2] :
( ( distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& distinct_points(X0,X2) )
=> ~ apart_point_and_line(X1,line_connecting(X0,X2)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X2] :
( ( distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& distinct_points(X0,X2) )
=> ~ apart_point_and_line(X1,line_connecting(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f79,plain,
( ~ distinct_points(sK1,sK0)
| ~ apart_point_and_line(sK1,sF4) ),
inference(superposition,[],[f61,f76]) ).
fof(f76,plain,
line_connecting(sK1,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f227,plain,
apart_point_and_line(sK1,sF4),
inference(subsumption_resolution,[],[f221,f84]) ).
fof(f84,plain,
~ apart_point_and_line(sK0,sF4),
inference(subsumption_resolution,[],[f83,f59]) ).
fof(f83,plain,
( ~ apart_point_and_line(sK0,sF4)
| ~ distinct_points(sK1,sK0) ),
inference(superposition,[],[f69,f76]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f221,plain,
( apart_point_and_line(sK0,sF4)
| apart_point_and_line(sK1,sF4) ),
inference(resolution,[],[f216,f77]) ).
fof(f77,plain,
~ apart_point_and_line(sK2,sF4),
inference(definition_folding,[],[f55,f76]) ).
fof(f55,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f46]) ).
fof(f216,plain,
! [X45] :
( apart_point_and_line(sK2,X45)
| apart_point_and_line(sK0,X45)
| apart_point_and_line(sK1,X45) ),
inference(subsumption_resolution,[],[f215,f85]) ).
fof(f85,plain,
~ apart_point_and_line(sK2,sF3),
inference(subsumption_resolution,[],[f82,f57]) ).
fof(f57,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
( ~ apart_point_and_line(sK2,sF3)
| ~ distinct_points(sK1,sK2) ),
inference(superposition,[],[f69,f74]) ).
fof(f74,plain,
sF3 = line_connecting(sK1,sK2),
introduced(function_definition,[]) ).
fof(f215,plain,
! [X45] :
( apart_point_and_line(sK2,X45)
| apart_point_and_line(sK0,X45)
| apart_point_and_line(sK1,X45)
| apart_point_and_line(sK2,sF3) ),
inference(subsumption_resolution,[],[f200,f81]) ).
fof(f81,plain,
~ apart_point_and_line(sK1,sF3),
inference(subsumption_resolution,[],[f78,f57]) ).
fof(f78,plain,
( ~ apart_point_and_line(sK1,sF3)
| ~ distinct_points(sK1,sK2) ),
inference(superposition,[],[f61,f74]) ).
fof(f200,plain,
! [X45] :
( apart_point_and_line(sK1,sF3)
| apart_point_and_line(sK0,X45)
| apart_point_and_line(sK1,X45)
| apart_point_and_line(sK2,X45)
| apart_point_and_line(sK2,sF3) ),
inference(resolution,[],[f100,f57]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X0,sF3)
| apart_point_and_line(sK0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,sF3)
| apart_point_and_line(X0,X2) ),
inference(resolution,[],[f62,f86]) ).
fof(f86,plain,
! [X0] :
( distinct_lines(sF3,X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f66,f75]) ).
fof(f75,plain,
apart_point_and_line(sK0,sF3),
inference(definition_folding,[],[f56,f74]) ).
fof(f56,plain,
apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X0)
=> ( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,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(f62,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X3,X1] :
( ~ distinct_lines(X3,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X3,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X3,X0] :
( ( distinct_lines(X3,X1)
& distinct_points(X0,X2) )
=> ( apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X4,X1,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n023.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 21:47:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.54 % (4096)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (4104)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)
% 0.21/0.55 % (4096)Instruction limit reached!
% 0.21/0.55 % (4096)------------------------------
% 0.21/0.55 % (4096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (4096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (4096)Termination reason: Unknown
% 0.21/0.55 % (4096)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (4096)Memory used [KB]: 895
% 0.21/0.55 % (4096)Time elapsed: 0.004 s
% 0.21/0.55 % (4096)Instructions burned: 2 (million)
% 0.21/0.55 % (4096)------------------------------
% 0.21/0.55 % (4096)------------------------------
% 0.21/0.55 % (4094)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 TRYING [4]
% 0.21/0.56 % (4111)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.65/0.56 TRYING [5]
% 1.65/0.57 % (4112)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.65/0.57 % (4115)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)
% 1.65/0.57 % (4088)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)
% 1.65/0.57 TRYING [1]
% 1.65/0.57 TRYING [2]
% 1.65/0.57 TRYING [3]
% 1.65/0.57 % (4102)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.65/0.57 TRYING [4]
% 1.65/0.57 TRYING [5]
% 1.65/0.57 % (4099)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.58 % (4092)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.58 % (4093)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)
% 1.65/0.58 % (4110)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.65/0.58 % (4089)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)
% 1.65/0.58 % (4098)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.65/0.58 % (4091)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.58 % (4112)First to succeed.
% 1.65/0.58 % (4103)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.65/0.58 % (4113)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.79/0.58 % (4107)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.79/0.58 % (4106)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.79/0.59 % (4095)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.79/0.59 % (4112)Refutation found. Thanks to Tanya!
% 1.79/0.59 % SZS status Theorem for theBenchmark
% 1.79/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59 % (4112)------------------------------
% 1.79/0.59 % (4112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (4112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (4112)Termination reason: Refutation
% 1.79/0.59
% 1.79/0.59 % (4112)Memory used [KB]: 5500
% 1.79/0.59 % (4112)Time elapsed: 0.156 s
% 1.79/0.59 % (4112)Instructions burned: 9 (million)
% 1.79/0.59 % (4112)------------------------------
% 1.79/0.59 % (4112)------------------------------
% 1.79/0.59 % (4087)Success in time 0.227 s
%------------------------------------------------------------------------------