TSTP Solution File: GEO204+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO204+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 : n008.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 16:12:16 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 74 ( 11 unt; 0 def)
% Number of atoms : 218 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 234 ( 90 ~; 102 |; 25 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 94 ( 82 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f90,f258,f276,f356,f372,f378]) ).
fof(f378,plain,
( ~ spl5_1
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl5_1
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f373,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(f373,plain,
( distinct_points(sK0,sK0)
| ~ spl5_1
| ~ spl5_11 ),
inference(resolution,[],[f224,f122]) ).
fof(f122,plain,
( ! [X1] :
( ~ apart_point_and_line(X1,sF4)
| distinct_points(X1,sK0) )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f121,f77]) ).
fof(f77,plain,
( distinct_points(sK0,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl5_1
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f121,plain,
! [X1] :
( ~ distinct_points(sK0,sK2)
| distinct_points(X1,sK0)
| ~ apart_point_and_line(X1,sF4) ),
inference(superposition,[],[f62,f73]) ).
fof(f73,plain,
sF4 = line_connecting(sK0,sK2),
introduced(function_definition,[]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ) ),
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(f224,plain,
( apart_point_and_line(sK0,sF4)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl5_11
<=> apart_point_and_line(sK0,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f372,plain,
~ spl5_10,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f367,f71]) ).
fof(f367,plain,
( distinct_points(sK0,sK0)
| ~ spl5_10 ),
inference(resolution,[],[f220,f123]) ).
fof(f123,plain,
! [X0] :
( ~ apart_point_and_line(X0,sF3)
| distinct_points(X0,sK0) ),
inference(subsumption_resolution,[],[f120,f57]) ).
fof(f57,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( distinct_points(sK0,sK1)
& ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X1)
& ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2) )
=> ( distinct_points(sK0,sK1)
& ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2] :
( distinct_points(X0,X1)
& ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X2,X1,X0] :
( distinct_points(X2,X1)
& ( distinct_lines(line_connecting(X2,X1),line_connecting(X2,X0))
| ~ distinct_points(X2,X0) )
& ~ distinct_points(X1,X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X1,X0,X2] :
( ( distinct_lines(line_connecting(X2,X1),line_connecting(X2,X0))
| ~ distinct_points(X2,X0) )
& ~ distinct_points(X1,X0)
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X1,X0,X2] :
( ( ~ distinct_points(X1,X0)
& distinct_points(X2,X1) )
=> ( distinct_points(X2,X0)
& ~ distinct_lines(line_connecting(X2,X1),line_connecting(X2,X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( distinct_points(X0,X2)
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X1,X0] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( distinct_points(X0,X2)
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f120,plain,
! [X0] :
( ~ apart_point_and_line(X0,sF3)
| distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(superposition,[],[f62,f72]) ).
fof(f72,plain,
sF3 = line_connecting(sK0,sK1),
introduced(function_definition,[]) ).
fof(f220,plain,
( apart_point_and_line(sK0,sF3)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl5_10
<=> apart_point_and_line(sK0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f356,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f352,f71]) ).
fof(f352,plain,
( distinct_points(sK1,sK1)
| ~ spl5_6 ),
inference(resolution,[],[f203,f118]) ).
fof(f118,plain,
! [X0] :
( ~ apart_point_and_line(X0,sF3)
| distinct_points(X0,sK1) ),
inference(subsumption_resolution,[],[f116,f57]) ).
fof(f116,plain,
! [X0] :
( distinct_points(X0,sK1)
| ~ distinct_points(sK0,sK1)
| ~ apart_point_and_line(X0,sF3) ),
inference(superposition,[],[f61,f72]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f203,plain,
( apart_point_and_line(sK1,sF3)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl5_6
<=> apart_point_and_line(sK1,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f276,plain,
( ~ spl5_1
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl5_1
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f272,f55]) ).
fof(f55,plain,
~ distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f272,plain,
( distinct_points(sK1,sK2)
| ~ spl5_1
| ~ spl5_5 ),
inference(resolution,[],[f199,f119]) ).
fof(f119,plain,
( ! [X1] :
( ~ apart_point_and_line(X1,sF4)
| distinct_points(X1,sK2) )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f117,f77]) ).
fof(f117,plain,
! [X1] :
( ~ distinct_points(sK0,sK2)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,sF4) ),
inference(superposition,[],[f61,f73]) ).
fof(f199,plain,
( apart_point_and_line(sK1,sF4)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl5_5
<=> apart_point_and_line(sK1,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f258,plain,
( spl5_11
| spl5_6
| spl5_5
| spl5_10
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f176,f80,f218,f197,f201,f222]) ).
fof(f80,plain,
( spl5_2
<=> distinct_lines(sF3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f176,plain,
( apart_point_and_line(sK0,sF3)
| apart_point_and_line(sK1,sF4)
| apart_point_and_line(sK1,sF3)
| apart_point_and_line(sK0,sF4)
| ~ spl5_2 ),
inference(resolution,[],[f160,f57]) ).
fof(f160,plain,
( ! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X0,sF4)
| apart_point_and_line(X0,sF3)
| apart_point_and_line(X1,sF4)
| apart_point_and_line(X1,sF3) )
| ~ spl5_2 ),
inference(resolution,[],[f65,f82]) ).
fof(f82,plain,
( distinct_lines(sF3,sF4)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X3) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X3,X2,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X3,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X3,X2,X0,X1] :
( ( distinct_points(X1,X2)
& distinct_lines(X3,X0) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X1,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( 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/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f90,plain,
spl5_1,
inference(avatar_split_clause,[],[f85,f76]) ).
fof(f85,plain,
distinct_points(sK0,sK2),
inference(resolution,[],[f84,f55]) ).
fof(f84,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f59,f57]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X2)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X0,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f83,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f74,f80,f76]) ).
fof(f74,plain,
( distinct_lines(sF3,sF4)
| ~ distinct_points(sK0,sK2) ),
inference(definition_folding,[],[f56,f73,f72]) ).
fof(f56,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 01:56:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (9563)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.47 % (9571)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)
% 0.19/0.49 % (9574)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)
% 0.19/0.49 % (9551)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)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 % (9577)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)
% 0.19/0.49 % (9558)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (9579)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 TRYING [5]
% 0.19/0.50 % (9555)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (9558)Instruction limit reached!
% 0.19/0.50 % (9558)------------------------------
% 0.19/0.50 % (9558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 TRYING [6]
% 0.19/0.51 % (9556)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)
% 0.19/0.51 % (9558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9558)Termination reason: Unknown
% 0.19/0.51 % (9558)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9558)Memory used [KB]: 5500
% 0.19/0.51 % (9558)Time elapsed: 0.111 s
% 0.19/0.51 % (9558)Instructions burned: 7 (million)
% 0.19/0.51 % (9558)------------------------------
% 0.19/0.51 % (9558)------------------------------
% 0.19/0.51 TRYING [7]
% 0.19/0.51 % (9553)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)
% 0.19/0.51 TRYING [8]
% 0.19/0.52 % (9566)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)
% 0.19/0.52 % (9579)First to succeed.
% 0.19/0.52 % (9579)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (9579)------------------------------
% 0.19/0.52 % (9579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9579)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (9579)Memory used [KB]: 5628
% 0.19/0.52 % (9579)Time elapsed: 0.117 s
% 0.19/0.52 % (9579)Instructions burned: 15 (million)
% 0.19/0.52 % (9579)------------------------------
% 0.19/0.52 % (9579)------------------------------
% 0.19/0.52 % (9550)Success in time 0.177 s
%------------------------------------------------------------------------------