TSTP Solution File: GEO221+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO221+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 : n015.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 16:12:22 EDT 2022
% Result : Theorem 1.28s 0.54s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 101 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 36 ~; 43 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 76 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(subsumption_resolution,[],[f305,f109]) ).
fof(f109,plain,
~ apart_point_and_line(sK0,sF3),
inference(definition_folding,[],[f102,f108]) ).
fof(f108,plain,
orthogonal_through_point(sK1,sK2) = sF3,
introduced(function_definition,[]) ).
fof(f102,plain,
~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2))
& distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,orthogonal_through_point(X1,X2))
& distinct_lines(orthogonal_through_point(X1,X2),orthogonal_through_point(X1,X0)) )
=> ( ~ apart_point_and_line(sK0,orthogonal_through_point(sK1,sK2))
& distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,orthogonal_through_point(X1,X2))
& distinct_lines(orthogonal_through_point(X1,X2),orthogonal_through_point(X1,X0)) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X2,orthogonal_through_point(X1,X0))
& distinct_lines(orthogonal_through_point(X1,X0),orthogonal_through_point(X1,X2)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2] :
( ~ apart_point_and_line(X2,orthogonal_through_point(X1,X0))
=> ~ distinct_lines(orthogonal_through_point(X1,X0),orthogonal_through_point(X1,X2)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X8,X5,X9] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X8,X5,X9] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f305,plain,
apart_point_and_line(sK0,sF3),
inference(resolution,[],[f283,f115]) ).
fof(f115,plain,
~ apart_point_and_line(sK0,sF4),
inference(superposition,[],[f83,f110]) ).
fof(f110,plain,
orthogonal_through_point(sK1,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f83,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc2) ).
fof(f283,plain,
! [X3] :
( apart_point_and_line(X3,sF4)
| apart_point_and_line(X3,sF3) ),
inference(subsumption_resolution,[],[f282,f114]) ).
fof(f114,plain,
~ unorthogonal_lines(sF4,sK1),
inference(superposition,[],[f107,f110]) ).
fof(f107,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f282,plain,
! [X3] :
( unorthogonal_lines(sF4,sK1)
| apart_point_and_line(X3,sF3)
| apart_point_and_line(X3,sF4) ),
inference(subsumption_resolution,[],[f260,f94]) ).
fof(f94,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f260,plain,
! [X3] :
( distinct_lines(sF3,sF3)
| apart_point_and_line(X3,sF4)
| apart_point_and_line(X3,sF3)
| unorthogonal_lines(sF4,sK1) ),
inference(resolution,[],[f196,f112]) ).
fof(f112,plain,
~ unorthogonal_lines(sF3,sK1),
inference(superposition,[],[f107,f108]) ).
fof(f196,plain,
! [X26,X24,X25] :
( apart_point_and_line(X24,sF4)
| unorthogonal_lines(sF4,X26)
| unorthogonal_lines(X25,X26)
| apart_point_and_line(X24,X25)
| distinct_lines(sF3,X25) ),
inference(resolution,[],[f100,f119]) ).
fof(f119,plain,
! [X0] :
( distinct_lines(sF4,X0)
| distinct_lines(sF3,X0) ),
inference(resolution,[],[f98,f111]) ).
fof(f111,plain,
distinct_lines(sF3,sF4),
inference(definition_folding,[],[f101,f110,f108]) ).
fof(f101,plain,
distinct_lines(orthogonal_through_point(sK1,sK2),orthogonal_through_point(sK1,sK0)),
inference(cnf_transformation,[],[f77]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X2,X0] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
=> ( distinct_lines(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X0)
| unorthogonal_lines(X3,X1)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X0)
| unorthogonal_lines(X0,X1)
| apart_point_and_line(X2,X3)
| unorthogonal_lines(X3,X1) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X3,X2,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| unorthogonal_lines(X0,X3)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X1,X3) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X3,X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| unorthogonal_lines(X0,X3)
| unorthogonal_lines(X1,X3) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X5,X6,X8,X7] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X5)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ouo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO221+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 : n015.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:42:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (23628)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)
% 0.21/0.51 % (23634)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51 % (23650)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)
% 0.21/0.51 % (23641)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)
% 0.21/0.51 % (23648)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51 % (23632)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)
% 0.21/0.51 % (23633)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.52 TRYING [1]
% 1.28/0.52 TRYING [2]
% 1.28/0.52 TRYING [3]
% 1.28/0.52 % (23630)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (23626)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)
% 1.28/0.52 % (23634)Instruction limit reached!
% 1.28/0.52 % (23634)------------------------------
% 1.28/0.52 % (23634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (23634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (23634)Termination reason: Unknown
% 1.28/0.52 % (23634)Termination phase: Blocked clause elimination
% 1.28/0.52
% 1.28/0.52 % (23634)Memory used [KB]: 895
% 1.28/0.52 % (23634)Time elapsed: 0.003 s
% 1.28/0.52 % (23634)Instructions burned: 2 (million)
% 1.28/0.52 % (23634)------------------------------
% 1.28/0.52 % (23634)------------------------------
% 1.28/0.52 % (23639)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.52 % (23633)Instruction limit reached!
% 1.28/0.52 % (23633)------------------------------
% 1.28/0.52 % (23633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 TRYING [1]
% 1.28/0.52 TRYING [2]
% 1.28/0.52 TRYING [3]
% 1.28/0.52 % (23656)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.28/0.52 % (23629)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)
% 1.28/0.52 TRYING [4]
% 1.28/0.52 % (23641)First to succeed.
% 1.28/0.53 % (23651)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.28/0.53 % (23649)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)
% 1.28/0.53 % (23645)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)
% 1.28/0.53 % (23627)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)
% 1.28/0.53 % (23633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (23633)Termination reason: Unknown
% 1.28/0.53 % (23633)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (23633)Memory used [KB]: 5500
% 1.28/0.53 % (23633)Time elapsed: 0.081 s
% 1.28/0.53 % (23633)Instructions burned: 7 (million)
% 1.28/0.53 % (23633)------------------------------
% 1.28/0.53 % (23633)------------------------------
% 1.28/0.53 % (23631)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)
% 1.28/0.54 % (23641)Refutation found. Thanks to Tanya!
% 1.28/0.54 % SZS status Theorem for theBenchmark
% 1.28/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.54 % (23641)------------------------------
% 1.28/0.54 % (23641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (23641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (23641)Termination reason: Refutation
% 1.28/0.54
% 1.28/0.54 % (23641)Memory used [KB]: 1151
% 1.28/0.54 % (23641)Time elapsed: 0.085 s
% 1.28/0.54 % (23641)Instructions burned: 13 (million)
% 1.28/0.54 % (23641)------------------------------
% 1.28/0.54 % (23641)------------------------------
% 1.28/0.54 % (23624)Success in time 0.179 s
%------------------------------------------------------------------------------