TSTP Solution File: GEO170+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO170+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_sat --cores 0 -t %d %s
% Computer : n010.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 16:12:05 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 183 ( 74 ~; 66 |; 31 &)
% ( 0 <=>; 12 =>; 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 : 96 ( 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(resolution,[],[f210,f57]) ).
fof(f57,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ~ apart_point_and_line(sK2,sK0)
& distinct_lines(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1)
& ~ apart_point_and_line(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X2,X0)
& distinct_lines(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X1,X0) )
=> ( ~ apart_point_and_line(sK2,sK0)
& distinct_lines(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1)
& ~ apart_point_and_line(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,X0)
& distinct_lines(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X2] :
( ~ apart_point_and_line(X2,X1)
& distinct_lines(X1,line_connecting(X2,X0))
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X1,X2] :
( distinct_lines(X1,line_connecting(X2,X0))
& ~ apart_point_and_line(X2,X1)
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,X1)
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,line_connecting(X2,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( ( ~ apart_point_and_line(X1,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X2,X0] :
( ( ~ apart_point_and_line(X1,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f210,plain,
~ distinct_points(sK2,sK1),
inference(resolution,[],[f206,f74]) ).
fof(f74,plain,
! [X0,X1] :
( distinct_points(X1,X0)
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f61,f71]) ).
fof(f71,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(f61,plain,
! [X2,X0,X1] :
( distinct_points(X0,X1)
| ~ distinct_points(X0,X2)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( distinct_points(X0,X1)
| ~ distinct_points(X0,X2)
| distinct_points(X2,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0,X2] :
( distinct_points(X1,X0)
| ~ distinct_points(X1,X2)
| distinct_points(X2,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X0)
| distinct_points(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f206,plain,
~ distinct_points(sK1,sK2),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK2) ),
inference(resolution,[],[f196,f74]) ).
fof(f196,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK1,sK2) ),
inference(resolution,[],[f195,f58]) ).
fof(f58,plain,
distinct_lines(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f46]) ).
fof(f195,plain,
( ~ distinct_lines(sK0,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK1,sK2) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK2,sK1)
| ~ distinct_lines(sK0,line_connecting(sK2,sK1))
| ~ distinct_points(sK2,sK1) ),
inference(resolution,[],[f102,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f69,f71]) ).
fof(f69,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| ~ distinct_points(X0,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2)
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X2,X0] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0)
| ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X2,X1] :
( distinct_points(X1,X0)
=> ( apart_point_and_line(X2,line_connecting(X1,X0))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X2] :
( 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(f102,plain,
! [X1] :
( apart_point_and_line(sK1,line_connecting(sK2,X1))
| ~ distinct_lines(sK0,line_connecting(sK2,X1))
| ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK2,X1) ),
inference(resolution,[],[f97,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f70,f71]) ).
fof(f70,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f97,plain,
! [X1] :
( apart_point_and_line(sK2,X1)
| ~ distinct_points(sK1,sK2)
| apart_point_and_line(sK1,X1)
| ~ distinct_lines(sK0,X1) ),
inference(resolution,[],[f94,f59]) ).
fof(f59,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
! [X16,X17] :
( apart_point_and_line(X17,sK0)
| ~ distinct_points(sK1,X17)
| ~ distinct_lines(sK0,X16)
| apart_point_and_line(sK1,X16)
| apart_point_and_line(X17,X16) ),
inference(resolution,[],[f54,f56]) ).
fof(f56,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X1)
| ~ distinct_lines(X3,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0,X3] :
( ( distinct_points(X2,X1)
& distinct_lines(X3,X0) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X1,X0,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO170+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 : n010.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 21:15:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (31547)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)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 TRYING [4]
% 0.19/0.48 TRYING [5]
% 0.19/0.48 TRYING [6]
% 0.19/0.49 % (31569)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 TRYING [7]
% 0.19/0.49 % (31550)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)
% 0.19/0.50 TRYING [8]
% 0.19/0.50 % (31548)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)
% 0.19/0.50 % (31548)Refutation not found, incomplete strategy% (31548)------------------------------
% 0.19/0.50 % (31548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (31548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (31548)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (31548)Memory used [KB]: 5373
% 0.19/0.50 % (31548)Time elapsed: 0.092 s
% 0.19/0.50 % (31548)Instructions burned: 2 (million)
% 0.19/0.50 % (31548)------------------------------
% 0.19/0.50 % (31548)------------------------------
% 0.19/0.50 TRYING [9]
% 0.19/0.51 % (31558)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)
% 0.19/0.51 % (31560)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (31561)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 TRYING [10]
% 0.19/0.51 % (31563)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)
% 0.19/0.51 TRYING [11]
% 0.19/0.52 % (31555)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (31555)Instruction limit reached!
% 0.19/0.52 % (31555)------------------------------
% 0.19/0.52 % (31555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31564)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)
% 0.19/0.52 % (31555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31555)Termination reason: Unknown
% 0.19/0.52 % (31555)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 % (31555)Memory used [KB]: 895
% 0.19/0.52 % (31555)Time elapsed: 0.004 s
% 0.19/0.52 % (31555)Instructions burned: 2 (million)
% 0.19/0.52 % (31555)------------------------------
% 0.19/0.52 % (31555)------------------------------
% 0.19/0.52 % (31571)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)
% 0.19/0.52 % (31556)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)
% 0.19/0.53 % (31552)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)
% 0.19/0.53 % (31556)First to succeed.
% 0.19/0.53 % (31570)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)
% 0.19/0.53 % (31575)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)
% 0.19/0.53 % (31556)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (31556)------------------------------
% 0.19/0.53 % (31556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31556)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (31556)Memory used [KB]: 1023
% 0.19/0.53 % (31556)Time elapsed: 0.130 s
% 0.19/0.53 % (31556)Instructions burned: 6 (million)
% 0.19/0.53 % (31556)------------------------------
% 0.19/0.53 % (31556)------------------------------
% 0.19/0.53 % (31544)Success in time 0.178 s
%------------------------------------------------------------------------------