TSTP Solution File: GEO217+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n017.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 16:09:18 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 16 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 37 ~; 42 |; 14 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 96 ( 87 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1256,plain,
$false,
inference(avatar_sat_refutation,[],[f1196,f1220]) ).
fof(f1220,plain,
~ spl3_38,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl3_38 ),
inference(resolution,[],[f1193,f171]) ).
fof(f171,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f130,f150]) ).
fof(f150,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( parallel_lines(sK1,sK0)
& parallel_lines(sK1,sK2)
& ~ parallel_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f65,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( parallel_lines(X1,X0)
& parallel_lines(X1,X2)
& ~ parallel_lines(X0,X2) )
=> ( parallel_lines(sK1,sK0)
& parallel_lines(sK1,sK2)
& ~ parallel_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0,X1,X2] :
( parallel_lines(X1,X0)
& parallel_lines(X1,X2)
& ~ parallel_lines(X0,X2) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X1,X0,X2] :
( ~ parallel_lines(X0,X2)
& parallel_lines(X1,X0)
& parallel_lines(X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X1,X0,X2] :
( ( parallel_lines(X1,X0)
& parallel_lines(X1,X2) )
=> parallel_lines(X0,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X6,X5,X7] :
( ( parallel_lines(X5,X6)
& parallel_lines(X5,X7) )
=> parallel_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X6,X5,X7] :
( ( parallel_lines(X5,X6)
& parallel_lines(X5,X7) )
=> parallel_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f130,plain,
! [X0,X1] :
( ~ parallel_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
<=> parallel_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f1193,plain,
( convergent_lines(sK1,sK2)
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1191,plain,
( spl3_38
<=> convergent_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f1196,plain,
spl3_38,
inference(avatar_split_clause,[],[f1189,f1191]) ).
fof(f1189,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f1179,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f1179,plain,
distinct_lines(sK1,sK2),
inference(resolution,[],[f497,f145]) ).
fof(f145,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(f497,plain,
! [X4] :
( distinct_lines(sK2,X4)
| distinct_lines(sK1,X4) ),
inference(resolution,[],[f492,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X0)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f492,plain,
distinct_lines(sK2,sK1),
inference(resolution,[],[f433,f172]) ).
fof(f172,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f130,f151]) ).
fof(f151,plain,
parallel_lines(sK1,sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f433,plain,
! [X0] :
( convergent_lines(X0,sK0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f191,f141]) ).
fof(f141,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(f191,plain,
! [X2,X3] :
( convergent_lines(sK0,X3)
| convergent_lines(X2,X3)
| distinct_lines(sK2,X2) ),
inference(resolution,[],[f181,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f181,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f136,f170]) ).
fof(f170,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f129,f149]) ).
fof(f149,plain,
~ parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f119]) ).
fof(f129,plain,
! [X0,X1] :
( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 20:54:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.52 % (12255)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)
% 0.20/0.52 % (12235)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)
% 0.20/0.52 % (12247)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (12235)Instruction limit reached!
% 0.20/0.52 % (12235)------------------------------
% 0.20/0.52 % (12235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12235)Termination reason: Unknown
% 0.20/0.52 % (12235)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (12235)Memory used [KB]: 6012
% 0.20/0.52 % (12235)Time elapsed: 0.004 s
% 0.20/0.52 % (12235)Instructions burned: 3 (million)
% 0.20/0.52 % (12235)------------------------------
% 0.20/0.52 % (12235)------------------------------
% 0.20/0.53 % (12238)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)
% 0.20/0.53 % (12247)Instruction limit reached!
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.53 % (12247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12247)Termination reason: Unknown
% 0.20/0.53 % (12247)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12247)Memory used [KB]: 6012
% 0.20/0.53 % (12247)Time elapsed: 0.004 s
% 0.20/0.53 % (12247)Instructions burned: 3 (million)
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.53 % (12247)------------------------------
% 0.20/0.53 % (12261)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)
% 0.20/0.53 % (12258)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54 % (12255)First to succeed.
% 0.20/0.54 % (12238)Also succeeded, but the first one will report.
% 0.20/0.54 % (12255)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 % (12255)------------------------------
% 0.20/0.54 % (12255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12255)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (12255)Memory used [KB]: 6524
% 0.20/0.54 % (12255)Time elapsed: 0.133 s
% 0.20/0.54 % (12255)Instructions burned: 14 (million)
% 0.20/0.54 % (12255)------------------------------
% 0.20/0.54 % (12255)------------------------------
% 0.20/0.54 % (12224)Success in time 0.194 s
%------------------------------------------------------------------------------