TSTP Solution File: DAT041_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT041_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n006.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 16:04:43 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 16 unt; 6 typ; 0 def)
% Number of atoms : 52 ( 16 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 15 |; 6 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 73 ( 14 atm; 14 fun; 12 num; 33 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 46 !; 8 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f791,plain,
$false,
inference(subsumption_resolution,[],[f781,f119]) ).
tff(f119,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f113,f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f113,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f27,f23]) ).
tff(f23,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f781,plain,
! [X4: $int,X5: collection] : ~ $less(count(add(X4,X5)),$sum(1,count(add(X4,X5)))),
inference(superposition,[],[f89,f380]) ).
tff(f380,plain,
! [X0: $int,X1: collection] : ( count(add(X0,X1)) = count(add(X0,add(X0,X1))) ),
inference(resolution,[],[f59,f83]) ).
tff(f83,plain,
! [X2: $int,X0: collection] : in(X2,add(X2,X0)),
inference(equality_resolution,[],[f71]) ).
tff(f71,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X2,add(X1,X0))
| ( X1 != X2 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) )
& ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) ) ),
inference(flattening,[],[f54]) ).
tff(f54,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 )
| ~ in(X2,add(X1,X0)) )
& ( in(X2,add(X1,X0))
| ( ~ in(X2,X0)
& ( X1 != X2 ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( in(X2,X0)
| ( X1 = X2 ) )
<=> in(X2,add(X1,X0)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X6: collection,X7: $int,X5: $int] :
( in(X5,add(X7,X6))
<=> ( ( X5 = X7 )
| in(X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f59,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,X1)
| ( count(add(X0,X1)) = count(X1) ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: $int,X1: collection] :
( ( in(X0,X1)
| ( count(add(X0,X1)) != count(X1) ) )
& ( ( count(add(X0,X1)) = count(X1) )
| ~ in(X0,X1) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X1: $int,X0: collection] :
( ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) )
& ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X1: $int,X0: collection] :
( in(X1,X0)
<=> ( count(X0) = count(add(X1,X0)) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X16: collection,X15: $int] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f89,plain,
! [X0: collection,X1: $int] : ~ $less(count(add(X1,X0)),$sum(1,count(X0))),
inference(forward_demodulation,[],[f61,f18]) ).
tff(f61,plain,
! [X0: collection,X1: $int] : ~ $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: collection,X1: $int] : ~ $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X1: collection,X0: $int] : ~ $less(count(add(X0,X1)),$sum(count(X1),1)),
inference(ennf_transformation,[],[f35]) ).
tff(f35,plain,
~ ? [X1: collection,X0: $int] : $less(count(add(X0,X1)),$sum(count(X1),1)),
inference(rectify,[],[f17]) ).
tff(f17,plain,
~ ? [X1: $int,X0: collection] : $less(count(add(X1,X0)),$sum(count(X0),1)),
inference(theory_normalization,[],[f14]) ).
tff(f14,negated_conjecture,
~ ? [X1: $int,X0: collection] : $greater($sum(count(X0),1),count(add(X1,X0))),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
? [X1: $int,X0: collection] : $greater($sum(count(X0),1),count(add(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : DAT041=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 : Mon Aug 29 20:16:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (5328)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)
% 0.20/0.49 % (5336)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)
% 0.20/0.49 % (5326)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)
% 0.20/0.50 % (5337)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (5350)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (5338)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (5341)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)
% 0.20/0.51 % (5331)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)
% 0.20/0.51 % (5330)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)
% 0.20/0.51 % (5345)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)
% 0.20/0.52 % (5334)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)
% 0.20/0.52 % (5329)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (5348)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)
% 0.20/0.52 % (5327)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)
% 0.20/0.52 % (5340)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)
% 0.20/0.52 % (5325)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)
% 0.20/0.52 % (5325)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (5325)Terminated due to inappropriate strategy.
% 0.20/0.52 % (5325)------------------------------
% 0.20/0.52 % (5325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5325)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (5325)Memory used [KB]: 895
% 0.20/0.52 % (5325)Time elapsed: 0.003 s
% 0.20/0.52 % (5325)Instructions burned: 2 (million)
% 0.20/0.52 % (5325)------------------------------
% 0.20/0.52 % (5325)------------------------------
% 0.20/0.52 % (5346)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (5349)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (5339)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)
% 0.20/0.53 % (5344)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)
% 0.20/0.53 % (5335)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (5354)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)
% 0.20/0.53 % (5353)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (5331)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53 % (5331)Terminated due to inappropriate strategy.
% 0.20/0.53 % (5331)------------------------------
% 0.20/0.53 % (5331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5331)Termination reason: Inappropriate
% 0.20/0.53
% 0.20/0.53 % (5331)Memory used [KB]: 895
% 0.20/0.53 % (5331)Time elapsed: 0.003 s
% 0.20/0.53 % (5331)Instructions burned: 2 (million)
% 0.20/0.53 % (5331)------------------------------
% 0.20/0.53 % (5331)------------------------------
% 0.20/0.53 % (5351)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)
% 0.20/0.54 % (5352)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)
% 0.20/0.54 % (5333)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (5342)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (5333)Instruction limit reached!
% 0.20/0.54 % (5333)------------------------------
% 0.20/0.54 % (5333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5343)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (5347)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)
% 0.20/0.54 % (5332)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (5333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5333)Termination reason: Unknown
% 0.20/0.55 % (5333)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5333)Memory used [KB]: 5373
% 0.20/0.55 % (5333)Time elapsed: 0.007 s
% 0.20/0.55 % (5333)Instructions burned: 3 (million)
% 0.20/0.55 % (5333)------------------------------
% 0.20/0.55 % (5333)------------------------------
% 0.20/0.55 % (5342)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (5342)Terminated due to inappropriate strategy.
% 0.20/0.55 % (5342)------------------------------
% 0.20/0.55 % (5342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5342)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (5342)Memory used [KB]: 895
% 0.20/0.55 % (5342)Time elapsed: 0.003 s
% 0.20/0.55 % (5342)Instructions burned: 1 (million)
% 0.20/0.55 % (5342)------------------------------
% 0.20/0.55 % (5342)------------------------------
% 0.20/0.55 % (5332)Instruction limit reached!
% 0.20/0.55 % (5332)------------------------------
% 0.20/0.55 % (5332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5332)Termination reason: Unknown
% 0.20/0.55 % (5332)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5332)Memory used [KB]: 5500
% 0.20/0.55 % (5332)Time elapsed: 0.108 s
% 0.20/0.55 % (5332)Instructions burned: 8 (million)
% 0.20/0.55 % (5332)------------------------------
% 0.20/0.55 % (5332)------------------------------
% 0.20/0.55 % (5329)First to succeed.
% 0.20/0.56 % (5329)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (5329)------------------------------
% 0.20/0.56 % (5329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5329)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (5329)Memory used [KB]: 5884
% 0.20/0.56 % (5329)Time elapsed: 0.142 s
% 0.20/0.56 % (5329)Instructions burned: 27 (million)
% 0.20/0.56 % (5329)------------------------------
% 0.20/0.56 % (5329)------------------------------
% 0.20/0.56 % (5323)Success in time 0.209 s
%------------------------------------------------------------------------------