TSTP Solution File: NUM853+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM853+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 : 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 18:06:59 EDT 2022
% Result : Theorem 1.50s 0.58s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 75 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f667,plain,
$false,
inference(subsumption_resolution,[],[f665,f267]) ).
fof(f267,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( X0 != X1
| ~ greater(X1,X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( X0 != X1
| ~ greater(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X66,X67] :
( X66 != X67
| ~ greater(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f665,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(superposition,[],[f205,f648]) ).
fof(f648,plain,
vd486 = vd488,
inference(subsumption_resolution,[],[f628,f249]) ).
fof(f249,plain,
~ greater(vd486,vd488),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
~ greater(vd486,vd488),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vd486,vd488),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof(f628,plain,
( vd486 = vd488
| greater(vd486,vd488) ),
inference(resolution,[],[f310,f589]) ).
fof(f589,plain,
~ greater(vd488,vd486),
inference(resolution,[],[f361,f219]) ).
fof(f219,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1,X2,X0] :
( greater(vmul(X2,X1),vmul(X0,X1))
| ~ greater(X2,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X2,X0] :
( greater(X2,X0)
=> greater(vmul(X2,X1),vmul(X0,X1)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X6,X0,X5] :
( greater(X5,X6)
=> greater(vmul(X5,X0),vmul(X6,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f361,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(resolution,[],[f283,f205]) ).
fof(f283,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[],[f237,f190]) ).
fof(f190,plain,
! [X0,X1] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X64,X65] :
( greater(X64,X65)
=> less(X65,X64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f237,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X66,X67] :
( ~ greater(X66,X67)
| ~ less(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f310,plain,
! [X2,X1] :
( greater(X2,X1)
| greater(X1,X2)
| X1 = X2 ),
inference(resolution,[],[f220,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X62,X63] :
( less(X62,X63)
=> greater(X63,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f220,plain,
! [X0,X1] :
( less(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( less(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( less(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X66,X67] :
( X66 = X67
| greater(X66,X67)
| less(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f205,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM853+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % 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 : n010.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 08:57:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (27689)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)
% 0.19/0.50 % (27679)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)
% 0.19/0.50 % (27697)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)
% 0.19/0.50 % (27681)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (27681)Instruction limit reached!
% 0.19/0.51 % (27681)------------------------------
% 0.19/0.51 % (27681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27681)Termination reason: Unknown
% 0.19/0.51 % (27681)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27681)Memory used [KB]: 5628
% 0.19/0.51 % (27681)Time elapsed: 0.104 s
% 0.19/0.51 % (27681)Instructions burned: 7 (million)
% 0.19/0.51 % (27681)------------------------------
% 0.19/0.51 % (27681)------------------------------
% 0.19/0.51 % (27696)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 % (27678)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27677)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)
% 1.39/0.52 % (27676)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)
% 1.39/0.53 % (27675)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)
% 1.39/0.53 % (27695)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.53 % (27703)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)
% 1.39/0.53 % (27682)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.53 % (27682)Instruction limit reached!
% 1.39/0.53 % (27682)------------------------------
% 1.39/0.53 % (27682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 % (27682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (27682)Termination reason: Unknown
% 1.39/0.53 % (27682)Termination phase: Function definition elimination
% 1.39/0.53
% 1.39/0.53 % (27682)Memory used [KB]: 1023
% 1.39/0.53 % (27682)Time elapsed: 0.003 s
% 1.39/0.53 % (27682)Instructions burned: 3 (million)
% 1.39/0.53 % (27682)------------------------------
% 1.39/0.53 % (27682)------------------------------
% 1.39/0.53 % (27701)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)
% 1.39/0.53 % (27680)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)
% 1.39/0.53 % (27692)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.53 % (27702)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.53 % (27691)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.53 % (27693)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)
% 1.39/0.53 % (27688)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)
% 1.39/0.54 % (27694)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)
% 1.39/0.54 TRYING [1]
% 1.39/0.54 % (27686)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.54 % (27700)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)
% 1.39/0.54 % (27687)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.54 % (27674)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)
% 1.50/0.54 % (27685)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)
% 1.50/0.54 % (27684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.54 TRYING [1]
% 1.50/0.54 TRYING [2]
% 1.50/0.55 % (27698)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.55 % (27683)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)
% 1.50/0.55 % (27699)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.56 TRYING [3]
% 1.50/0.56 TRYING [2]
% 1.50/0.56 TRYING [3]
% 1.50/0.56 % (27690)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)
% 1.50/0.57 TRYING [3]
% 1.50/0.57 % (27676)First to succeed.
% 1.50/0.58 % (27676)Refutation found. Thanks to Tanya!
% 1.50/0.58 % SZS status Theorem for theBenchmark
% 1.50/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.58 % (27676)------------------------------
% 1.50/0.58 % (27676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (27676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (27676)Termination reason: Refutation
% 1.50/0.58
% 1.50/0.58 % (27676)Memory used [KB]: 1407
% 1.50/0.58 % (27676)Time elapsed: 0.174 s
% 1.50/0.58 % (27676)Instructions burned: 25 (million)
% 1.50/0.58 % (27676)------------------------------
% 1.50/0.58 % (27676)------------------------------
% 1.50/0.58 % (27673)Success in time 0.229 s
%------------------------------------------------------------------------------