TSTP Solution File: GEO217+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_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 16:12:20 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 29 ~; 31 |; 15 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 77 ( 68 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f267,plain,
$false,
inference(subsumption_resolution,[],[f266,f174]) ).
fof(f174,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f165,f144]) ).
fof(f144,plain,
parallel_lines(sK1,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( parallel_lines(sK1,sK2)
& ~ parallel_lines(sK2,sK0)
& parallel_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f81,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( parallel_lines(X1,X2)
& ~ parallel_lines(X2,X0)
& parallel_lines(X1,X0) )
=> ( parallel_lines(sK1,sK2)
& ~ parallel_lines(sK2,sK0)
& parallel_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
? [X0,X1,X2] :
( parallel_lines(X1,X2)
& ~ parallel_lines(X2,X0)
& parallel_lines(X1,X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
? [X1,X0,X2] :
( ~ parallel_lines(X2,X0)
& parallel_lines(X1,X2)
& parallel_lines(X1,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ! [X1,X0,X2] :
( ( parallel_lines(X1,X2)
& parallel_lines(X1,X0) )
=> parallel_lines(X2,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X7,X5,X6] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X7,X5,X6] :
( ( parallel_lines(X5,X7)
& parallel_lines(X5,X6) )
=> parallel_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f165,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) )
& ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X1,X0] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f266,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f261,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f261,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f245,f152]) ).
fof(f152,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f245,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f244,f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| distinct_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
=> ( distinct_lines(X1,X0)
| convergent_lines(X2,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/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f244,plain,
convergent_lines(sK0,sK1),
inference(subsumption_resolution,[],[f237,f152]) ).
fof(f237,plain,
( convergent_lines(sK2,sK2)
| convergent_lines(sK0,sK1) ),
inference(resolution,[],[f185,f175]) ).
fof(f175,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f165,f146]) ).
fof(f146,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f185,plain,
! [X0,X1] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f182,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f182,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f154,f173]) ).
fof(f173,plain,
convergent_lines(sK2,sK0),
inference(resolution,[],[f164,f145]) ).
fof(f145,plain,
~ parallel_lines(sK2,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f164,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
%------------------------------------------------------------------------------
%----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_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n015.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 : Mon Aug 29 21:41:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (20667)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)
% 0.19/0.50 % (20679)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (20677)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (20676)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (20688)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)
% 0.19/0.51 % (20678)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (20681)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)
% 0.19/0.51 % (20669)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)
% 0.19/0.51 % (20666)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)
% 0.19/0.51 % (20679)First to succeed.
% 0.19/0.51 % (20674)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (20679)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (20679)------------------------------
% 0.19/0.51 % (20679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20679)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (20679)Memory used [KB]: 5500
% 0.19/0.51 % (20679)Time elapsed: 0.122 s
% 0.19/0.51 % (20679)Instructions burned: 7 (million)
% 0.19/0.51 % (20679)------------------------------
% 0.19/0.51 % (20679)------------------------------
% 0.19/0.51 % (20665)Success in time 0.169 s
%------------------------------------------------------------------------------