TSTP Solution File: NUM297+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n008.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 17:58:03 EDT 2022
% Result : Theorem 1.51s 0.59s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 34 ~; 26 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f570,plain,
$false,
inference(subsumption_resolution,[],[f569,f549]) ).
fof(f549,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).
fof(f569,plain,
~ rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(resolution,[],[f567,f539]) ).
fof(f539,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f567,plain,
! [X3] :
( ~ rdn_positive_less(rdnn(X3),rdnn(n3))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X3))) ),
inference(resolution,[],[f564,f529]) ).
fof(f529,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f269]) ).
fof(f269,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f564,plain,
! [X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_translate(nn2,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f563,f536]) ).
fof(f536,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1)) ),
inference(cnf_transformation,[],[f519]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X0))
| rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X1)) ),
inference(rectify,[],[f513]) ).
fof(f513,plain,
! [X0,X2,X1] :
( ~ rdn_positive_less(rdnn(X2),rdnn(X0))
| rdn_positive_less(rdnn(X1),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(flattening,[],[f512]) ).
fof(f512,plain,
! [X2,X1,X0] :
( rdn_positive_less(rdnn(X1),rdnn(X0))
| ~ rdn_positive_less(rdnn(X2),rdnn(X0))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
inference(ennf_transformation,[],[f409]) ).
fof(f409,plain,
! [X2,X1,X0] :
( ( rdn_positive_less(rdnn(X2),rdnn(X0))
& rdn_positive_less(rdnn(X1),rdnn(X2)) )
=> rdn_positive_less(rdnn(X1),rdnn(X0)) ),
inference(rectify,[],[f275]) ).
fof(f275,axiom,
! [X2,X0,X1] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f563,plain,
! [X0] :
( ~ rdn_positive_less(X0,rdnn(n4))
| ~ rdn_translate(nn2,rdn_neg(X0)) ),
inference(resolution,[],[f552,f533]) ).
fof(f533,plain,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
rdn_translate(nn4,rdn_neg(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn4) ).
fof(f552,plain,
! [X2,X3] :
( ~ rdn_translate(nn4,rdn_neg(X3))
| ~ rdn_translate(nn2,rdn_neg(X2))
| ~ rdn_positive_less(X2,X3) ),
inference(resolution,[],[f525,f548]) ).
fof(f548,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_positive_less(X2,X3)
| less(X1,X0)
| ~ rdn_translate(X1,rdn_neg(X3)) ),
inference(cnf_transformation,[],[f523]) ).
fof(f523,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X2,X3)
| less(X1,X0)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(rectify,[],[f511]) ).
fof(f511,plain,
! [X0,X3,X2,X1] :
( ~ rdn_positive_less(X2,X1)
| less(X3,X0)
| ~ rdn_translate(X3,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(flattening,[],[f510]) ).
fof(f510,plain,
! [X1,X0,X2,X3] :
( less(X3,X0)
| ~ rdn_positive_less(X2,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X1)) ),
inference(ennf_transformation,[],[f407]) ).
fof(f407,plain,
! [X1,X0,X2,X3] :
( ( rdn_positive_less(X2,X1)
& rdn_translate(X0,rdn_neg(X2))
& rdn_translate(X3,rdn_neg(X1)) )
=> less(X3,X0) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X1,X9,X10,X0] :
( ( rdn_translate(X0,rdn_neg(X9))
& rdn_translate(X1,rdn_neg(X10))
& rdn_positive_less(X10,X9) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
fof(f525,plain,
~ less(nn4,nn2),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ less(nn4,nn2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ less(nn4,nn2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
less(nn4,nn2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nn4_less_nn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.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 : Tue Aug 30 06:23:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (29252)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)
% 0.19/0.56 % (29252)Instruction limit reached!
% 0.19/0.56 % (29252)------------------------------
% 0.19/0.56 % (29252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29252)Termination reason: Unknown
% 0.19/0.56 % (29252)Termination phase: Preprocessing 3
% 0.19/0.56
% 0.19/0.56 % (29252)Memory used [KB]: 1791
% 0.19/0.56 % (29252)Time elapsed: 0.005 s
% 0.19/0.56 % (29252)Instructions burned: 3 (million)
% 0.19/0.56 % (29252)------------------------------
% 0.19/0.56 % (29252)------------------------------
% 0.19/0.56 % (29253)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (29276)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (29253)Refutation not found, incomplete strategy% (29253)------------------------------
% 0.19/0.57 % (29253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (29253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (29253)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (29253)Memory used [KB]: 6268
% 0.19/0.57 % (29253)Time elapsed: 0.136 s
% 0.19/0.57 % (29253)Instructions burned: 4 (million)
% 0.19/0.57 % (29253)------------------------------
% 0.19/0.57 % (29253)------------------------------
% 0.19/0.58 % (29264)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)
% 0.19/0.58 % (29264)Instruction limit reached!
% 0.19/0.58 % (29264)------------------------------
% 0.19/0.58 % (29264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (29264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (29264)Termination reason: Unknown
% 0.19/0.58 % (29264)Termination phase: Preprocessing 3
% 0.19/0.58
% 0.19/0.58 % (29264)Memory used [KB]: 1791
% 0.19/0.58 % (29264)Time elapsed: 0.003 s
% 0.19/0.58 % (29264)Instructions burned: 3 (million)
% 0.19/0.58 % (29264)------------------------------
% 0.19/0.58 % (29264)------------------------------
% 1.51/0.58 % (29260)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.51/0.58 % (29260)First to succeed.
% 1.51/0.58 % (29277)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.51/0.59 % (29273)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.51/0.59 % (29256)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.51/0.59 % (29260)Refutation found. Thanks to Tanya!
% 1.51/0.59 % SZS status Theorem for theBenchmark
% 1.51/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.59 % (29260)------------------------------
% 1.51/0.59 % (29260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.59 % (29260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.59 % (29260)Termination reason: Refutation
% 1.51/0.59
% 1.51/0.59 % (29260)Memory used [KB]: 6268
% 1.51/0.59 % (29260)Time elapsed: 0.154 s
% 1.51/0.59 % (29260)Instructions burned: 4 (million)
% 1.51/0.59 % (29260)------------------------------
% 1.51/0.59 % (29260)------------------------------
% 1.51/0.59 % (29249)Success in time 0.239 s
%------------------------------------------------------------------------------