TSTP Solution File: NUM291+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM291+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_sat --cores 0 -t %d %s
% Computer : n023.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 18:03:56 EDT 2022
% Result : Theorem 0.15s 0.57s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 59 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 66 ( 32 ~; 22 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1027,plain,
$false,
inference(subsumption_resolution,[],[f1026,f725]) ).
fof(f725,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/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f1026,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(resolution,[],[f1005,f649]) ).
fof(f649,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f1005,plain,
! [X0] :
( ~ rdn_translate(n2,rdn_pos(X0))
| ~ rdn_positive_less(X0,rdnn(n3)) ),
inference(resolution,[],[f995,f587]) ).
fof(f587,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f995,plain,
! [X0,X1] :
( ~ rdn_translate(n3,rdn_pos(X0))
| ~ rdn_translate(n2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X0) ),
inference(resolution,[],[f983,f619]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( less(X3,X2)
| ~ rdn_translate(X2,rdn_pos(X0))
| ~ rdn_positive_less(X1,X0)
| ~ rdn_translate(X3,rdn_pos(X1)) ),
inference(cnf_transformation,[],[f479]) ).
fof(f479,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X1,X0)
| ~ rdn_translate(X3,rdn_pos(X1))
| less(X3,X2)
| ~ rdn_translate(X2,rdn_pos(X0)) ),
inference(rectify,[],[f458]) ).
fof(f458,plain,
! [X0,X3,X2,X1] :
( ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X1,X2)
| ~ rdn_translate(X2,rdn_pos(X0)) ),
inference(flattening,[],[f457]) ).
fof(f457,plain,
! [X0,X2,X3,X1] :
( less(X1,X2)
| ~ rdn_positive_less(X3,X0)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X0)) ),
inference(ennf_transformation,[],[f417]) ).
fof(f417,plain,
! [X0,X2,X3,X1] :
( ( rdn_positive_less(X3,X0)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X2,rdn_pos(X0)) )
=> less(X1,X2) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X10,X0,X1,X9] :
( ( rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f983,plain,
~ less(n2,n3),
inference(resolution,[],[f549,f889]) ).
fof(f889,plain,
less(n3,n2),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
less(n3,n2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(n3,n2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n3_not_less_n2) ).
fof(f549,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0,X1] :
( ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) )
& ( less(X0,X1)
| X0 = X1
| less(X1,X0) ) ),
inference(flattening,[],[f476]) ).
fof(f476,plain,
! [X0,X1] :
( ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) )
& ( less(X0,X1)
| X0 = X1
| less(X1,X0) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( ( X0 != X1
& ~ less(X1,X0) )
<=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : NUM291+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.33 % Computer : n023.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 30 06:40:35 EDT 2022
% 0.15/0.34 % CPUTime :
% 0.15/0.51 % (9790)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.51 % (9782)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.51 % (9780)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)
% 0.15/0.51 % (9772)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.51 % (9774)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (9772)Instruction limit reached!
% 0.15/0.52 % (9772)------------------------------
% 0.15/0.52 % (9772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (9788)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)
% 0.15/0.52 % (9772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (9772)Termination reason: Unknown
% 0.15/0.52 % (9772)Termination phase: Property scanning
% 0.15/0.52
% 0.15/0.52 % (9772)Memory used [KB]: 1279
% 0.15/0.52 % (9772)Time elapsed: 0.006 s
% 0.15/0.52 % (9772)Instructions burned: 7 (million)
% 0.15/0.52 % (9772)------------------------------
% 0.15/0.52 % (9772)------------------------------
% 0.15/0.54 % (9777)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.54 % (9776)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)
% 0.15/0.55 % (9778)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.55 % (9779)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)
% 0.15/0.56 % (9791)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)
% 0.15/0.56 % (9770)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.56 % (9769)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.56 % (9768)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)
% 0.15/0.56 % (9788)First to succeed.
% 0.15/0.56 % (9783)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.56 % (9765)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)
% 0.15/0.56 % (9794)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.57 % (9788)Refutation found. Thanks to Tanya!
% 0.15/0.57 % SZS status Theorem for theBenchmark
% 0.15/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.57 % (9788)------------------------------
% 0.15/0.57 % (9788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (9788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (9788)Termination reason: Refutation
% 0.15/0.57
% 0.15/0.57 % (9788)Memory used [KB]: 6268
% 0.15/0.57 % (9788)Time elapsed: 0.143 s
% 0.15/0.57 % (9788)Instructions burned: 32 (million)
% 0.15/0.57 % (9788)------------------------------
% 0.15/0.57 % (9788)------------------------------
% 0.15/0.57 % (9764)Success in time 0.223 s
%------------------------------------------------------------------------------