TSTP Solution File: NUM850+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM850+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n018.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 18:06:58 EDT 2022
% Result : Theorem 1.53s 0.59s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 32 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 8 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 22 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ5_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_7,type,
sQ6_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_8,type,
sQ7_eqProxy: ( $real * $real ) > $o ).
fof(f515,plain,
$false,
inference(subsumption_resolution,[],[f513,f273]) ).
fof(f273,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(literal_reordering,[],[f187]) ).
fof(f187,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] : vd470 = vplus(vd471,X0),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] : vd470 = vplus(vd471,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
fof(f513,plain,
vd470 = vplus(vd471,sK0(vd471,vd470)),
inference(resolution,[],[f282,f287]) ).
fof(f287,plain,
greater(vd470,vd471),
inference(literal_reordering,[],[f221]) ).
fof(f221,plain,
greater(vd470,vd471),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
fof(f282,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(literal_reordering,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( vplus(X0,sK0(X0,X1)) = X1
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f138,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ? [X2] : vplus(X1,X2) = X0
<=> greater(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X66,X65] :
( greater(X66,X65)
<=> ? [X67] : vplus(X65,X67) = X66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM850+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Tue Aug 30 09:07:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (17194)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)
% 0.20/0.55 % (17202)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (17211)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)
% 0.20/0.56 % (17203)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)
% 0.20/0.56 % (17210)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)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (17195)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.53/0.58 % (17195)Instruction limit reached!
% 1.53/0.58 % (17195)------------------------------
% 1.53/0.58 % (17195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (17195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (17195)Termination reason: Unknown
% 1.53/0.58 % (17195)Termination phase: Saturation
% 1.53/0.58
% 1.53/0.58 % (17195)Memory used [KB]: 5628
% 1.53/0.58 % (17195)Time elapsed: 0.088 s
% 1.53/0.58 % (17195)Instructions burned: 7 (million)
% 1.53/0.58 % (17195)------------------------------
% 1.53/0.58 % (17195)------------------------------
% 1.53/0.59 % (17202)First to succeed.
% 1.53/0.59 % (17202)Refutation found. Thanks to Tanya!
% 1.53/0.59 % SZS status Theorem for theBenchmark
% 1.53/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.59 % (17202)------------------------------
% 1.53/0.59 % (17202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (17202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (17202)Termination reason: Refutation
% 1.53/0.59
% 1.53/0.59 % (17202)Memory used [KB]: 6012
% 1.53/0.59 % (17202)Time elapsed: 0.014 s
% 1.53/0.59 % (17202)Instructions burned: 12 (million)
% 1.53/0.59 % (17202)------------------------------
% 1.53/0.59 % (17202)------------------------------
% 1.53/0.59 % (17187)Success in time 0.231 s
%------------------------------------------------------------------------------