TSTP Solution File: GEO077-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Tue Apr 30 11:13:58 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 43 ( 14 unt; 0 def)
% Number of atoms : 264 ( 119 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 357 ( 136 ~; 221 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1116,plain,
$false,
inference(trivial_inequality_removal,[],[f1115]) ).
fof(f1115,plain,
point1 != point1,
inference(superposition,[],[f39,f1068]) ).
fof(f1068,plain,
point1 = point2,
inference(trivial_inequality_removal,[],[f1064]) ).
fof(f1064,plain,
( point1 != point1
| point1 = point2 ),
inference(superposition,[],[f40,f1054]) ).
fof(f1054,plain,
( point1 = point3
| point1 = point2 ),
inference(trivial_inequality_removal,[],[f1050]) ).
fof(f1050,plain,
( point2 != point2
| point1 = point2
| point1 = point3 ),
inference(superposition,[],[f41,f1046]) ).
fof(f1046,plain,
( point2 = point3
| point1 = point2
| point1 = point3 ),
inference(resolution,[],[f1045,f32]) ).
fof(f32,axiom,
point(point1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1) ).
fof(f1045,plain,
( ~ point(point1)
| point1 = point2
| point2 = point3
| point1 = point3 ),
inference(resolution,[],[f1044,f33]) ).
fof(f33,axiom,
point(point2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2) ).
fof(f1044,plain,
( ~ point(point2)
| point1 = point3
| point1 = point2
| point2 = point3
| ~ point(point1) ),
inference(resolution,[],[f1023,f34]) ).
fof(f34,axiom,
point(point3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3) ).
fof(f1023,plain,
( ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point2)
| ~ point(point1) ),
inference(resolution,[],[f1016,f38]) ).
fof(f38,axiom,
~ on(point3,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3_not_on_line) ).
fof(f1016,plain,
( on(point3,a_line)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point2)
| ~ point(point1) ),
inference(resolution,[],[f1008,f42]) ).
fof(f42,axiom,
collinear(point1,point2,point3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_points_noncollinear) ).
fof(f1008,plain,
( ~ collinear(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| on(point3,a_line)
| ~ point(point1) ),
inference(duplicate_literal_removal,[],[f1001]) ).
fof(f1001,plain,
( on(point3,a_line)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ collinear(point1,point2,point3)
| ~ point(point1)
| point1 = point3
| point2 = point3
| point1 = point2 ),
inference(superposition,[],[f29,f993]) ).
fof(f993,plain,
( a_line = line_through_3_points(point1,point2,point3)
| point1 = point3
| point2 = point3
| point1 = point2 ),
inference(resolution,[],[f983,f32]) ).
fof(f983,plain,
( ~ point(point1)
| point2 = point3
| point1 = point3
| a_line = line_through_3_points(point1,point2,point3)
| point1 = point2 ),
inference(resolution,[],[f982,f33]) ).
fof(f982,plain,
( ~ point(point2)
| a_line = line_through_3_points(point1,point2,point3)
| point2 = point3
| point1 = point3
| ~ point(point1)
| point1 = point2 ),
inference(resolution,[],[f980,f34]) ).
fof(f980,plain,
( ~ point(point3)
| ~ point(point2)
| a_line = line_through_3_points(point1,point2,point3)
| point2 = point3
| point1 = point3
| ~ point(point1)
| point1 = point2 ),
inference(resolution,[],[f978,f36]) ).
fof(f36,axiom,
on(point1,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_on_line) ).
fof(f978,plain,
( ~ on(point1,a_line)
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| ~ point(point1)
| point1 = point2 ),
inference(resolution,[],[f971,f37]) ).
fof(f37,axiom,
on(point2,a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_on_line) ).
fof(f971,plain,
( ~ on(point2,a_line)
| point1 = point2
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| ~ point(point1)
| ~ on(point1,a_line) ),
inference(resolution,[],[f970,f42]) ).
fof(f970,plain,
( ~ collinear(point1,point2,point3)
| ~ on(point2,a_line)
| point1 = point2
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| ~ point(point1)
| ~ on(point1,a_line) ),
inference(duplicate_literal_removal,[],[f959]) ).
fof(f959,plain,
( ~ on(point1,a_line)
| ~ on(point2,a_line)
| point1 = point2
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point1)
| ~ point(point1)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ collinear(point1,point2,point3)
| ~ point(point1) ),
inference(resolution,[],[f952,f27]) ).
fof(f27,axiom,
! [X6,X7,X5] :
( on(X5,line_through_3_points(X5,X6,X7))
| ~ point(X6)
| ~ point(X7)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ collinear(X5,X6,X7)
| ~ point(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10A) ).
fof(f952,plain,
! [X0] :
( ~ on(X0,line_through_3_points(point1,point2,point3))
| ~ on(X0,a_line)
| ~ on(point2,a_line)
| point2 = X0
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point1)
| ~ point(X0) ),
inference(resolution,[],[f950,f42]) ).
fof(f950,plain,
! [X0] :
( ~ collinear(point1,point2,point3)
| ~ point(X0)
| ~ on(X0,a_line)
| ~ on(point2,a_line)
| point2 = X0
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point1)
| ~ on(X0,line_through_3_points(point1,point2,point3)) ),
inference(duplicate_literal_removal,[],[f927]) ).
fof(f927,plain,
! [X0] :
( ~ on(X0,line_through_3_points(point1,point2,point3))
| ~ point(X0)
| ~ on(X0,a_line)
| ~ on(point2,a_line)
| point2 = X0
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(point2)
| ~ point(point1)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ collinear(point1,point2,point3)
| ~ point(point1) ),
inference(resolution,[],[f285,f28]) ).
fof(f28,axiom,
! [X6,X7,X5] :
( on(X6,line_through_3_points(X5,X6,X7))
| ~ point(X6)
| ~ point(X7)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ collinear(X5,X6,X7)
| ~ point(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10B) ).
fof(f285,plain,
! [X0,X1] :
( ~ on(X1,line_through_3_points(point1,point2,point3))
| ~ on(X0,line_through_3_points(point1,point2,point3))
| ~ point(X0)
| ~ on(X0,a_line)
| ~ on(X1,a_line)
| X0 = X1
| a_line = line_through_3_points(point1,point2,point3)
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(X1)
| ~ point(point1) ),
inference(resolution,[],[f236,f35]) ).
fof(f35,axiom,
line(a_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ line(X2)
| ~ point(X1)
| ~ on(X0,line_through_3_points(point1,point2,point3))
| ~ on(X1,line_through_3_points(point1,point2,point3))
| ~ on(X1,X2)
| ~ on(X0,X2)
| X0 = X1
| line_through_3_points(point1,point2,point3) = X2
| ~ point(point2)
| ~ point(point3)
| point2 = point3
| point1 = point3
| point1 = point2
| ~ point(X0)
| ~ point(point1) ),
inference(resolution,[],[f50,f42]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ collinear(X0,X1,X2)
| ~ point(X4)
| ~ point(X5)
| ~ on(X4,line_through_3_points(X0,X1,X2))
| ~ on(X5,line_through_3_points(X0,X1,X2))
| ~ on(X5,X3)
| ~ on(X4,X3)
| X4 = X5
| line_through_3_points(X0,X1,X2) = X3
| ~ point(X1)
| ~ point(X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ line(X3)
| ~ point(X0) ),
inference(resolution,[],[f4,f30]) ).
fof(f30,axiom,
! [X6,X7,X5] :
( line(line_through_3_points(X5,X6,X7))
| ~ point(X6)
| ~ point(X7)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ collinear(X5,X6,X7)
| ~ point(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10D) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ line(X3)
| ~ line(X2)
| ~ point(X1)
| ~ point(X0)
| ~ on(X1,X3)
| ~ on(X0,X3)
| ~ on(X0,X2)
| ~ on(X1,X2)
| X0 = X1
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1D) ).
fof(f29,axiom,
! [X6,X7,X5] :
( on(X7,line_through_3_points(X5,X6,X7))
| ~ point(X6)
| ~ point(X7)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ collinear(X5,X6,X7)
| ~ point(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10C) ).
fof(f41,axiom,
point2 != point3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_not_point3) ).
fof(f40,axiom,
point1 != point3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point3) ).
fof(f39,axiom,
point1 != point2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Apr 30 05:55:21 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % (19169)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29 % (19172)WARNING: value z3 for option sas not known
% 0.12/0.29 % (19170)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.29 % (19172)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.29 Detected minimum model sizes of [3]
% 0.12/0.29 Detected maximum model sizes of [max]
% 0.12/0.29 TRYING [3]
% 0.12/0.29 % (19173)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.29 % (19176)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.30 TRYING [4]
% 0.12/0.30 % (19174)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.30 % (19171)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.30 Detected minimum model sizes of [3]
% 0.12/0.30 Detected maximum model sizes of [max]
% 0.12/0.30 TRYING [3]
% 0.12/0.30 % (19175)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.30 TRYING [4]
% 0.12/0.31 TRYING [5]
% 0.12/0.31 TRYING [5]
% 0.12/0.33 TRYING [6]
% 0.12/0.35 % (19175)First to succeed.
% 0.12/0.35 % (19175)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (19175)------------------------------
% 0.12/0.35 % (19175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.35 % (19175)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (19175)Memory used [KB]: 1541
% 0.12/0.35 % (19175)Time elapsed: 0.058 s
% 0.12/0.35 % (19175)Instructions burned: 144 (million)
% 0.12/0.35 % (19175)------------------------------
% 0.12/0.35 % (19175)------------------------------
% 0.12/0.35 % (19169)Success in time 0.061 s
%------------------------------------------------------------------------------