TSTP Solution File: GEO182+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO182+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_uns --cores 0 -t %d %s
% Computer : n025.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 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 44 ~; 48 |; 14 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 95 ( 83 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,plain,
$false,
inference(unit_resulting_resolution,[],[f54,f111,f62,f112,f63,f85,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0,X3] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X3,X2,X1,X0] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X3,X2,X1,X0] :
( ( distinct_lines(X0,X3)
& distinct_points(X1,X2) )
=> ( apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X0,X1,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f85,plain,
distinct_lines(line_connecting(sK2,sK1),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f55,f56,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,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)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f56,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X2,X1) )
=> ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X2,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
? [X2,X0,X1] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X1,X0] :
( distinct_points(X1,X0)
=> ( apart_point_and_line(X2,line_connecting(X1,X0))
=> apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X2] :
( 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,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X2] :
( 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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f55,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f112,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f104,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f104,plain,
distinct_points(sK1,sK2),
inference(unit_resulting_resolution,[],[f49,f54,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X0)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| ~ distinct_points(X2,X0)
| distinct_points(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( distinct_points(X0,X2)
| ~ distinct_points(X0,X1)
| distinct_points(X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f49,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f62,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f54,f52]) ).
fof(f111,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f104,f61]) ).
fof(f54,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO182+1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.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 21:34:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.28/0.51 % (7945)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)
% 1.28/0.52 % (7937)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)
% 1.28/0.52 % (7929)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)
% 1.28/0.53 % (7937)Instruction limit reached!
% 1.28/0.53 % (7937)------------------------------
% 1.28/0.53 % (7937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (7937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (7937)Termination reason: Unknown
% 1.28/0.53 % (7937)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (7937)Memory used [KB]: 6012
% 1.28/0.53 % (7937)Time elapsed: 0.068 s
% 1.28/0.53 % (7937)Instructions burned: 7 (million)
% 1.28/0.53 % (7937)------------------------------
% 1.28/0.53 % (7937)------------------------------
% 1.28/0.53 % (7944)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)
% 1.43/0.53 % (7926)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.43/0.53 % (7922)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.43/0.53 % (7925)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.53 % (7927)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.43/0.53 % (7935)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.54 % (7932)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.43/0.54 % (7934)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.43/0.54 % (7923)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.43/0.54 % (7935)First to succeed.
% 1.43/0.54 % (7935)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Theorem for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (7935)------------------------------
% 1.43/0.54 % (7935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (7935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (7935)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (7935)Memory used [KB]: 6012
% 1.43/0.54 % (7935)Time elapsed: 0.135 s
% 1.43/0.54 % (7935)Instructions burned: 8 (million)
% 1.43/0.54 % (7935)------------------------------
% 1.43/0.54 % (7935)------------------------------
% 1.43/0.54 % (7921)Success in time 0.188 s
%------------------------------------------------------------------------------