TSTP Solution File: NUM857+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM857+2 : 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 : n027.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 18:07:01 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 23 unt; 0 def)
% Number of atoms : 93 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 35 |; 10 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f594,plain,
$false,
inference(subsumption_resolution,[],[f593,f295]) ).
fof(f295,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( greater(X1,X0)
| X0 = X1
| ~ geq(X1,X0) )
& ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) ) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ( greater(X1,X0)
| X0 = X1
| ~ geq(X1,X0) )
& ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( greater(X1,X0)
| X0 = X1 )
<=> geq(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X77,X78] :
( geq(X78,X77)
<=> ( X77 = X78
| greater(X78,X77) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f593,plain,
~ geq(vmul(vd526,vd529),vmul(vd526,vd529)),
inference(forward_demodulation,[],[f592,f252]) ).
fof(f252,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] : vmul(X1,X0) = vmul(X0,X1),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X30,X31] : vmul(X30,X31) = vmul(X31,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f592,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd526)),
inference(forward_demodulation,[],[f591,f586]) ).
fof(f586,plain,
vd526 = vd527,
inference(subsumption_resolution,[],[f585,f210]) ).
fof(f210,plain,
geq(vd526,vd527),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(antec(323)), 528, 0)') ).
fof(f585,plain,
( ~ geq(vd526,vd527)
| vd526 = vd527 ),
inference(resolution,[],[f579,f316]) ).
fof(f316,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| X0 = X1
| ~ geq(X1,X0) ),
inference(consistent_polarity_flipping,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X1,X0)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f579,plain,
greater(vd526,vd527),
inference(subsumption_resolution,[],[f562,f205]) ).
fof(f205,plain,
geq(vd529,vd530),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(antec(323)), 531, 0)') ).
fof(f562,plain,
( greater(vd526,vd527)
| ~ geq(vd529,vd530) ),
inference(resolution,[],[f300,f320]) ).
fof(f320,plain,
greater(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(resolution,[],[f303,f239]) ).
fof(f239,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(323), 532, 0)') ).
fof(f303,plain,
! [X0,X1] :
( geq(X1,X0)
| greater(X1,X0) ),
inference(consistent_polarity_flipping,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| geq(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ greater(vmul(X3,X0),vmul(X1,X2))
| ~ geq(X0,X2)
| greater(X3,X1) ),
inference(consistent_polarity_flipping,[],[f246]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( greater(vmul(X3,X0),vmul(X1,X2))
| ~ geq(X0,X2)
| ~ greater(X3,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ( ( ~ geq(X3,X1)
| ~ greater(X0,X2) )
& ( ~ greater(X3,X1)
| ~ geq(X0,X2) ) )
| greater(vmul(X3,X0),vmul(X1,X2)) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X3,X1,X2,X0] :
( ( ( ~ geq(X0,X1)
| ~ greater(X3,X2) )
& ( ~ greater(X0,X1)
| ~ geq(X3,X2) ) )
| greater(vmul(X0,X3),vmul(X1,X2)) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X3,X2,X0,X1] :
( ( ( geq(X0,X1)
& greater(X3,X2) )
| ( greater(X0,X1)
& geq(X3,X2) ) )
=> greater(vmul(X0,X3),vmul(X1,X2)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X3,X2] :
( ( ( geq(X2,X3)
& greater(X0,X1) )
| ( greater(X2,X3)
& geq(X0,X1) ) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(318, 0), 0)') ).
fof(f591,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd527)),
inference(forward_demodulation,[],[f590,f252]) ).
fof(f590,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd529)),
inference(superposition,[],[f239,f554]) ).
fof(f554,plain,
vd529 = vd530,
inference(subsumption_resolution,[],[f553,f205]) ).
fof(f553,plain,
( ~ geq(vd529,vd530)
| vd529 = vd530 ),
inference(resolution,[],[f548,f316]) ).
fof(f548,plain,
greater(vd529,vd530),
inference(subsumption_resolution,[],[f530,f210]) ).
fof(f530,plain,
( ~ geq(vd526,vd527)
| greater(vd529,vd530) ),
inference(resolution,[],[f298,f320]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ greater(vmul(X3,X0),vmul(X1,X2))
| greater(X0,X2)
| ~ geq(X3,X1) ),
inference(consistent_polarity_flipping,[],[f247]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X2)
| ~ geq(X3,X1)
| greater(vmul(X3,X0),vmul(X1,X2)) ),
inference(cnf_transformation,[],[f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM857+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 09:20:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (10780)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)
% 0.19/0.51 % (10783)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 % (10785)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 % (10783)Instruction limit reached!
% 0.19/0.51 % (10783)------------------------------
% 0.19/0.51 % (10783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (10783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (10783)Termination reason: Unknown
% 0.19/0.51 % (10783)Termination phase: Unused predicate definition removal
% 0.19/0.51
% 0.19/0.51 % (10783)Memory used [KB]: 1023
% 0.19/0.51 % (10783)Time elapsed: 0.002 s
% 0.19/0.51 % (10783)Instructions burned: 2 (million)
% 0.19/0.51 % (10783)------------------------------
% 0.19/0.51 % (10783)------------------------------
% 0.19/0.51 % (10786)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)
% 0.19/0.51 % (10784)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)
% 0.19/0.51 % (10775)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 % (10796)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (10782)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (10776)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)
% 0.19/0.52 % (10803)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (10798)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)
% 0.19/0.52 % (10797)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)
% 0.19/0.52 % (10788)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (10787)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (10778)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)
% 0.19/0.52 % (10789)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)
% 0.19/0.52 % (10777)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)
% 0.19/0.52 % (10779)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (10790)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)
% 0.19/0.53 % (10791)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (10804)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)
% 0.19/0.53 % (10795)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (10799)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (10781)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 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (10801)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (10802)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (10800)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (10793)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (10794)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (10792)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (10782)Instruction limit reached!
% 0.19/0.55 % (10782)------------------------------
% 0.19/0.55 % (10782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (10782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (10782)Termination reason: Unknown
% 0.19/0.55 % (10782)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (10782)Memory used [KB]: 5628
% 0.19/0.55 % (10782)Time elapsed: 0.099 s
% 0.19/0.55 % (10782)Instructions burned: 7 (million)
% 0.19/0.55 % (10782)------------------------------
% 0.19/0.55 % (10782)------------------------------
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (10794)First to succeed.
% 0.19/0.58 % (10794)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (10794)------------------------------
% 0.19/0.58 % (10794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (10794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (10794)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (10794)Memory used [KB]: 1407
% 0.19/0.58 % (10794)Time elapsed: 0.183 s
% 0.19/0.58 % (10794)Instructions burned: 21 (million)
% 0.19/0.58 % (10794)------------------------------
% 0.19/0.58 % (10794)------------------------------
% 0.19/0.58 % (10774)Success in time 0.226 s
%------------------------------------------------------------------------------