TSTP Solution File: GEO197+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO197+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 : n029.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 16:09:08 EDT 2022
% Result : Theorem 1.37s 0.55s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 140 ( 47 ~; 50 |; 31 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 83 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(subsumption_resolution,[],[f99,f95]) ).
fof(f95,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK1)),
inference(unit_resulting_resolution,[],[f51,f68,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X0)
=> ( distinct_points(X1,X2)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f68,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f53,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f53,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f40]) ).
fof(f40,plain,
( ? [X0,X1,X2] :
( convergent_lines(X2,X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X2,X1),X0) )
=> ( convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] :
( convergent_lines(X2,X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X1,X2,X0] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X0)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X2,X0] :
( ( convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X2,X1),X0)
& convergent_lines(X2,X0)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f51,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f99,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK1)),
inference(unit_resulting_resolution,[],[f65,f63,f64,f50,f70,f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X2,X1)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X3,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1,X3] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X3,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1,X3] :
( ( distinct_points(X3,X2)
& distinct_lines(X0,X1) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X4,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f70,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(unit_resulting_resolution,[],[f53,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f50,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f41]) ).
fof(f64,plain,
distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f48,f52,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X0)
| distinct_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0,X2] :
( ~ convergent_lines(X2,X1)
| distinct_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f52,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f48,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f63,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f52,f56]) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f52,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:39:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 % (2994)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.48 % (2978)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)
% 0.21/0.49 % (2978)Instruction limit reached!
% 0.21/0.49 % (2978)------------------------------
% 0.21/0.49 % (2978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (2994)Instruction limit reached!
% 0.21/0.50 % (2994)------------------------------
% 0.21/0.50 % (2994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (2978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (2978)Termination reason: Unknown
% 0.21/0.50 % (2978)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2978)Memory used [KB]: 1535
% 0.21/0.50 % (2978)Time elapsed: 0.076 s
% 0.21/0.50 % (2994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (2978)Instructions burned: 17 (million)
% 0.21/0.50 % (2994)Termination reason: Unknown
% 0.21/0.50 % (2978)------------------------------
% 0.21/0.50 % (2978)------------------------------
% 0.21/0.50 % (2994)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2994)Memory used [KB]: 6012
% 0.21/0.50 % (2994)Time elapsed: 0.081 s
% 0.21/0.50 % (2994)Instructions burned: 8 (million)
% 0.21/0.50 % (2994)------------------------------
% 0.21/0.50 % (2994)------------------------------
% 1.37/0.54 % (2967)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)
% 1.37/0.54 % (2971)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)
% 1.37/0.54 % (2970)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)
% 1.37/0.54 % (2969)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)
% 1.37/0.54 % (2968)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.55 % (2969)First to succeed.
% 1.37/0.55 % (2968)Instruction limit reached!
% 1.37/0.55 % (2968)------------------------------
% 1.37/0.55 % (2968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (2968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (2968)Termination reason: Unknown
% 1.37/0.55 % (2968)Termination phase: Saturation
% 1.37/0.55
% 1.37/0.55 % (2968)Memory used [KB]: 5884
% 1.37/0.55 % (2968)Time elapsed: 0.132 s
% 1.37/0.55 % (2968)Instructions burned: 4 (million)
% 1.37/0.55 % (2968)------------------------------
% 1.37/0.55 % (2968)------------------------------
% 1.37/0.55 % (2969)Refutation found. Thanks to Tanya!
% 1.37/0.55 % SZS status Theorem for theBenchmark
% 1.37/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55 % (2969)------------------------------
% 1.37/0.55 % (2969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (2969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (2969)Termination reason: Refutation
% 1.37/0.55
% 1.37/0.55 % (2969)Memory used [KB]: 5884
% 1.37/0.55 % (2969)Time elapsed: 0.132 s
% 1.37/0.55 % (2969)Instructions burned: 4 (million)
% 1.37/0.55 % (2969)------------------------------
% 1.37/0.55 % (2969)------------------------------
% 1.37/0.55 % (2965)Success in time 0.185 s
%------------------------------------------------------------------------------