TSTP Solution File: GEO147+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n010.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 16:12:00 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 13 unt; 3 typ; 0 def)
% Number of atoms : 95 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 35 ~; 24 |; 14 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_17,type,
sQ28_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_18,type,
sQ29_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_19,type,
sQ30_eqProxy: ( $real * $real ) > $o ).
fof(f536,plain,
$false,
inference(subsumption_resolution,[],[f524,f529]) ).
fof(f529,plain,
~ incident_o(sK15,sK22(sK14)),
inference(subsumption_resolution,[],[f330,f521]) ).
fof(f521,plain,
incident_o(sK15,sK22(sK13)),
inference(resolution,[],[f517,f375]) ).
fof(f375,plain,
! [X0,X1] :
( ~ once(at(X1,X0))
| incident_o(X0,sK22(X1)) ),
inference(literal_reordering,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( incident_o(X0,sK22(X1))
| ~ once(at(X1,X0)) ),
inference(definition_unfolding,[],[f248,f275]) ).
fof(f275,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f42,f182]) ).
fof(f182,plain,
! [X0] :
( ? [X1] : trajectory_of(X0) = X1
=> trajectory_of(X0) = sK22(X0) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X11] :
? [X8] : trajectory_of(X11) = X8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
fof(f248,plain,
! [X0,X1] :
( incident_o(X0,trajectory_of(X1))
| ~ once(at(X1,X0)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( once(at(X1,X0))
| ~ incident_o(X0,trajectory_of(X1)) )
& ( incident_o(X0,trajectory_of(X1))
| ~ once(at(X1,X0)) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X1,X0] :
( ( once(at(X0,X1))
| ~ incident_o(X1,trajectory_of(X0)) )
& ( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( once(at(X0,X1))
<=> incident_o(X1,trajectory_of(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X11,X2] :
( once(at(X11,X2))
<=> incident_o(X2,trajectory_of(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory) ).
fof(f517,plain,
once(at(sK13,sK15)),
inference(resolution,[],[f504,f384]) ).
fof(f384,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X1,X0))
| once(X0) ),
inference(literal_reordering,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X1,X0))
| ( once(X1)
& once(X0) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ once(at_the_same_time(X0,X1))
| ( once(X0)
& once(X1) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
=> ( once(X0)
& once(X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X13,X14] :
( once(at_the_same_time(X13,X14))
=> ( once(X13)
& once(X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time) ).
fof(f504,plain,
once(at_the_same_time(at(sK14,sK15),at(sK13,sK15))),
inference(resolution,[],[f317,f351]) ).
fof(f351,plain,
connect(sK14,sK13,sK15),
inference(literal_reordering,[],[f259]) ).
fof(f259,plain,
connect(sK14,sK13,sK15),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( connect(sK14,sK13,sK15)
& ( ~ incident_o(sK15,trajectory_of(sK13))
| ~ incident_o(sK15,trajectory_of(sK14)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f161,f162]) ).
fof(f162,plain,
( ? [X0,X1,X2] :
( connect(X1,X0,X2)
& ( ~ incident_o(X2,trajectory_of(X0))
| ~ incident_o(X2,trajectory_of(X1)) ) )
=> ( connect(sK14,sK13,sK15)
& ( ~ incident_o(sK15,trajectory_of(sK13))
| ~ incident_o(sK15,trajectory_of(sK14)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
? [X0,X1,X2] :
( connect(X1,X0,X2)
& ( ~ incident_o(X2,trajectory_of(X0))
| ~ incident_o(X2,trajectory_of(X1)) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
? [X2,X1,X0] :
( connect(X1,X2,X0)
& ( ~ incident_o(X0,trajectory_of(X2))
| ~ incident_o(X0,trajectory_of(X1)) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ! [X0,X2,X1] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X2))
& incident_o(X0,trajectory_of(X1)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ( incident_o(X2,trajectory_of(X11))
& incident_o(X2,trajectory_of(X12)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ( incident_o(X2,trajectory_of(X11))
& incident_o(X2,trajectory_of(X12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(literal_reordering,[],[f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0,X2] :
( connect(X0,X1,X2)
=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(unused_predicate_definition_removal,[],[f71]) ).
fof(f71,plain,
! [X1,X0,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
<=> connect(X0,X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).
fof(f330,plain,
( ~ incident_o(sK15,sK22(sK14))
| ~ incident_o(sK15,sK22(sK13)) ),
inference(literal_reordering,[],[f290]) ).
fof(f290,plain,
( ~ incident_o(sK15,sK22(sK13))
| ~ incident_o(sK15,sK22(sK14)) ),
inference(definition_unfolding,[],[f258,f275,f275]) ).
fof(f258,plain,
( ~ incident_o(sK15,trajectory_of(sK13))
| ~ incident_o(sK15,trajectory_of(sK14)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f524,plain,
incident_o(sK15,sK22(sK14)),
inference(resolution,[],[f518,f375]) ).
fof(f518,plain,
once(at(sK14,sK15)),
inference(resolution,[],[f504,f304]) ).
fof(f304,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X1,X0))
| once(X1) ),
inference(literal_reordering,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % 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 : n010.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:13:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (23631)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)
% 0.19/0.53 % (23639)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)
% 0.19/0.53 % (23639)First to succeed.
% 0.19/0.54 % (23648)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)
% 0.19/0.54 % (23640)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)
% 0.19/0.54 % (23647)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)
% 0.19/0.54 % (23632)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.55 % (23627)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (23632)Instruction limit reached!
% 0.19/0.55 % (23632)------------------------------
% 0.19/0.55 % (23632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (23632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (23632)Termination reason: Unknown
% 0.19/0.55 % (23632)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (23632)Memory used [KB]: 5628
% 0.19/0.55 % (23632)Time elapsed: 0.089 s
% 0.19/0.55 % (23632)Instructions burned: 7 (million)
% 0.19/0.55 % (23632)------------------------------
% 0.19/0.55 % (23632)------------------------------
% 0.19/0.55 % (23628)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)
% 0.19/0.55 TRYING [3]
% 0.19/0.56 % (23648)Also succeeded, but the first one will report.
% 0.19/0.56 % (23639)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (23639)------------------------------
% 0.19/0.56 % (23639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (23639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (23639)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (23639)Memory used [KB]: 6140
% 0.19/0.56 % (23639)Time elapsed: 0.009 s
% 0.19/0.56 % (23639)Instructions burned: 12 (million)
% 0.19/0.56 % (23639)------------------------------
% 0.19/0.56 % (23639)------------------------------
% 0.19/0.56 % (23624)Success in time 0.208 s
%------------------------------------------------------------------------------