TSTP Solution File: GEO200+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO200+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 : n024.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 16:12:15 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 157 ( 60 ~; 74 |; 11 &)
% ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 93 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(resolution,[],[f187,f53]) ).
fof(f53,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f42]) ).
fof(f42,plain,
( ? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) )
=> ( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X1,X0] :
( distinct_points(X1,X0)
=> ~ distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f187,plain,
~ distinct_points(sK1,sK0),
inference(resolution,[],[f185,f64]) ).
fof(f64,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(f185,plain,
! [X2] :
( distinct_points(X2,sK1)
| ~ distinct_points(X2,sK0) ),
inference(resolution,[],[f178,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| ~ distinct_points(X0,X1)
| distinct_points(X1,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( distinct_points(X1,X2)
| ~ distinct_points(X1,X0)
| distinct_points(X0,X2) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X0,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( distinct_points(X1,X0)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f178,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f173,f53]) ).
fof(f173,plain,
( ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f172,f52]) ).
fof(f52,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f43]) ).
fof(f172,plain,
! [X6,X7] :
( ~ distinct_lines(line_connecting(X7,X6),line_connecting(X6,X7))
| ~ distinct_points(X6,X7)
| ~ distinct_points(X7,X6) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X6,X7] :
( ~ distinct_lines(line_connecting(X7,X6),line_connecting(X6,X7))
| ~ distinct_points(X6,X7)
| ~ distinct_points(X6,X7)
| ~ distinct_points(X6,X7)
| ~ distinct_points(X7,X6) ),
inference(resolution,[],[f160,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f65,f64]) ).
fof(f65,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ distinct_points(X2,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ distinct_points(X2,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f160,plain,
! [X10,X11,X9] :
( apart_point_and_line(X9,line_connecting(X11,X10))
| ~ distinct_points(X11,X10)
| ~ distinct_points(X9,X10)
| ~ distinct_lines(line_connecting(X10,X9),line_connecting(X11,X10))
| ~ distinct_points(X10,X9) ),
inference(resolution,[],[f156,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f66,f64]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X1,X0)
| ~ distinct_points(X2,X0)
| ~ apart_point_and_line(X1,line_connecting(X2,X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f156,plain,
! [X10,X8,X9] :
( apart_point_and_line(X10,X9)
| ~ distinct_points(X8,X10)
| apart_point_and_line(X8,X9)
| ~ distinct_points(X10,X8)
| ~ distinct_lines(line_connecting(X10,X8),X9) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f153,plain,
! [X10,X8,X9] :
( ~ distinct_lines(line_connecting(X10,X8),X9)
| apart_point_and_line(X10,X9)
| ~ distinct_points(X10,X8)
| ~ distinct_points(X10,X8)
| ~ distinct_points(X8,X10)
| apart_point_and_line(X8,X9) ),
inference(resolution,[],[f82,f77]) ).
fof(f82,plain,
! [X14,X15,X12,X13] :
( apart_point_and_line(X12,line_connecting(X13,X14))
| apart_point_and_line(X14,X15)
| apart_point_and_line(X12,X15)
| ~ distinct_points(X14,X12)
| ~ distinct_lines(line_connecting(X13,X14),X15)
| ~ distinct_points(X13,X14) ),
inference(resolution,[],[f67,f78]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X3,X1)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X3) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X3,X2,X0,X1] :
( ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X3,X0,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| ~ distinct_points(X0,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X3,X0,X1,X2] :
( ( distinct_lines(X1,X2)
& distinct_points(X0,X3) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X4,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n024.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 21:38:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (16561)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)
% 0.20/0.50 % (16560)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 % (16575)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.50 % (16567)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (16568)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.50 TRYING [4]
% 0.20/0.51 TRYING [5]
% 0.20/0.51 % (16574)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)
% 0.20/0.52 % (16578)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)
% 0.20/0.52 % (16566)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)
% 0.20/0.52 % (16557)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (16556)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)
% 0.20/0.52 % (16570)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)
% 0.20/0.53 % (16555)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)
% 0.20/0.53 % (16562)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 TRYING [6]
% 0.20/0.53 % (16559)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16577)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)
% 0.20/0.53 % (16558)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)
% 0.20/0.53 % (16584)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (16564)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)
% 0.20/0.54 % (16561)Instruction limit reached!
% 0.20/0.54 % (16561)------------------------------
% 0.20/0.54 % (16561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16569)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)
% 0.20/0.54 % (16563)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (16564)First to succeed.
% 0.20/0.54 % (16563)Instruction limit reached!
% 0.20/0.54 % (16563)------------------------------
% 0.20/0.54 % (16563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16563)Termination reason: Unknown
% 0.20/0.54 % (16563)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (16563)Memory used [KB]: 5373
% 0.20/0.54 % (16563)Time elapsed: 0.141 s
% 0.20/0.54 % (16563)Instructions burned: 3 (million)
% 0.20/0.54 % (16563)------------------------------
% 0.20/0.54 % (16563)------------------------------
% 0.20/0.54 % (16564)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (16564)------------------------------
% 0.20/0.54 % (16564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16564)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (16564)Memory used [KB]: 1023
% 0.20/0.54 % (16564)Time elapsed: 0.137 s
% 0.20/0.54 % (16564)Instructions burned: 5 (million)
% 0.20/0.54 % (16564)------------------------------
% 0.20/0.54 % (16564)------------------------------
% 0.20/0.54 % (16552)Success in time 0.188 s
%------------------------------------------------------------------------------