TSTP Solution File: DAT098_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT098_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : 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 16:04:53 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 103 ( 26 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 126 ( 46 ~; 41 |; 35 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 116 ( 36 atm; 0 fun; 55 num; 25 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 34 !; 14 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_11,type,
sK0: ( list * $int ) > list ).
tff(func_def_12,type,
sK1: ( list * $int ) > $int ).
tff(pred_def_1,type,
inRange: ( $int * list ) > $o ).
tff(f251,plain,
$false,
inference(subsumption_resolution,[],[f250,f43]) ).
tff(f43,plain,
! [X1: $int] : inRange(X1,nil),
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X0: list,X1: $int] :
( inRange(X1,X0)
| ( nil != X0 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: list,X1: $int] :
( ( ( ( cons(sK1(X0,X1),sK0(X0,X1)) = X0 )
& $less(sK1(X0,X1),X1)
& inRange(X1,sK0(X0,X1))
& ~ $less(sK1(X0,X1),0) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X0 )
| ~ $less(X5,X1)
| ~ inRange(X1,X4)
| $less(X5,0) )
& ( nil != X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f29]) ).
tff(f29,plain,
! [X0: list,X1: $int] :
( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X0 )
& $less(X3,X1)
& inRange(X1,X2)
& ~ $less(X3,0) )
=> ( ( cons(sK1(X0,X1),sK0(X0,X1)) = X0 )
& $less(sK1(X0,X1),X1)
& inRange(X1,sK0(X0,X1))
& ~ $less(sK1(X0,X1),0) ) ),
introduced(choice_axiom,[]) ).
tff(f28,plain,
! [X0: list,X1: $int] :
( ( ? [X2: list,X3: $int] :
( ( cons(X3,X2) = X0 )
& $less(X3,X1)
& inRange(X1,X2)
& ~ $less(X3,0) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X4: list,X5: $int] :
( ( cons(X5,X4) != X0 )
| ~ $less(X5,X1)
| ~ inRange(X1,X4)
| $less(X5,0) )
& ( nil != X0 ) ) ) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
! [X0: list,X1: $int] :
( ( ? [X3: list,X2: $int] :
( ( cons(X2,X3) = X0 )
& $less(X2,X1)
& inRange(X1,X3)
& ~ $less(X2,0) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X3: list,X2: $int] :
( ( cons(X2,X3) != X0 )
| ~ $less(X2,X1)
| ~ inRange(X1,X3)
| $less(X2,0) )
& ( nil != X0 ) ) ) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
! [X0: list,X1: $int] :
( ( ? [X3: list,X2: $int] :
( ( cons(X2,X3) = X0 )
& $less(X2,X1)
& inRange(X1,X3)
& ~ $less(X2,0) )
| ( nil = X0 )
| ~ inRange(X1,X0) )
& ( inRange(X1,X0)
| ( ! [X3: list,X2: $int] :
( ( cons(X2,X3) != X0 )
| ~ $less(X2,X1)
| ~ inRange(X1,X3)
| $less(X2,0) )
& ( nil != X0 ) ) ) ),
inference(nnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: list,X1: $int] :
( ( ? [X3: list,X2: $int] :
( ( cons(X2,X3) = X0 )
& $less(X2,X1)
& inRange(X1,X3)
& ~ $less(X2,0) )
| ( nil = X0 ) )
<=> inRange(X1,X0) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
! [X1: list,X2: $int] :
( inRange(X2,X1)
<=> ( ? [X0: $int,X3: list] :
( ~ $less(X0,0)
& ( cons(X0,X3) = X1 )
& inRange(X2,X3)
& $less(X0,X2) )
| ( nil = X1 ) ) ),
inference(theory_normalization,[],[f5]) ).
tff(f5,axiom,
! [X1: list,X2: $int] :
( inRange(X2,X1)
<=> ( ? [X0: $int,X3: list] :
( $lesseq(0,X0)
& ( cons(X0,X3) = X1 )
& inRange(X2,X3)
& $less(X0,X2) )
| ( nil = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f250,plain,
~ inRange(4,nil),
inference(evaluation,[],[f249]) ).
tff(f249,plain,
( ~ $less(2,4)
| $less(2,0)
| ~ inRange(4,nil) ),
inference(resolution,[],[f175,f42]) ).
tff(f42,plain,
! [X1: $int,X4: list,X5: $int] :
( inRange(X1,cons(X5,X4))
| $less(X5,0)
| ~ inRange(X1,X4)
| ~ $less(X5,X1) ),
inference(equality_resolution,[],[f36]) ).
tff(f36,plain,
! [X0: list,X1: $int,X4: list,X5: $int] :
( inRange(X1,X0)
| ( cons(X5,X4) != X0 )
| ~ $less(X5,X1)
| ~ inRange(X1,X4)
| $less(X5,0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f175,plain,
~ inRange(4,cons(2,nil)),
inference(evaluation,[],[f174]) ).
tff(f174,plain,
( ~ inRange(4,cons(2,nil))
| ~ $less(3,4)
| $less(3,0) ),
inference(resolution,[],[f168,f42]) ).
tff(f168,plain,
~ inRange(4,cons(3,cons(2,nil))),
inference(evaluation,[],[f165]) ).
tff(f165,plain,
( $less(1,0)
| ~ $less(1,4)
| ~ inRange(4,cons(3,cons(2,nil))) ),
inference(resolution,[],[f42,f32]) ).
tff(f32,plain,
~ inRange(4,cons(1,cons(3,cons(2,nil)))),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
~ inRange(4,cons(1,cons(3,cons(2,nil)))),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ inRange(4,cons(1,cons(3,cons(2,nil)))),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
inRange(4,cons(1,cons(3,cons(2,nil)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT098=1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 20:20:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (23058)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)
% 0.18/0.49 % (23083)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)
% 0.18/0.50 % (23075)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)
% 0.18/0.50 % (23067)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)
% 0.18/0.50 % (23071)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)
% 0.18/0.50 % (23060)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (23064)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (23070)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)
% 0.18/0.50 % (23078)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)
% 0.18/0.50 % (23064)Instruction limit reached!
% 0.18/0.50 % (23064)------------------------------
% 0.18/0.50 % (23064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (23064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (23064)Termination reason: Unknown
% 0.18/0.50 % (23064)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (23064)Memory used [KB]: 5373
% 0.18/0.50 % (23064)Time elapsed: 0.107 s
% 0.18/0.50 % (23064)Instructions burned: 3 (million)
% 0.18/0.50 % (23064)------------------------------
% 0.18/0.50 % (23064)------------------------------
% 0.18/0.50 % (23063)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (23075)First to succeed.
% 0.18/0.51 % (23062)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)
% 0.18/0.51 % (23063)Instruction limit reached!
% 0.18/0.51 % (23063)------------------------------
% 0.18/0.51 % (23063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (23063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (23063)Termination reason: Unknown
% 0.18/0.51 % (23063)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (23063)Memory used [KB]: 5500
% 0.18/0.51 % (23063)Time elapsed: 0.109 s
% 0.18/0.51 % (23063)Instructions burned: 7 (million)
% 0.18/0.51 % (23063)------------------------------
% 0.18/0.51 % (23063)------------------------------
% 0.18/0.51 % (23062)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51 % (23062)Terminated due to inappropriate strategy.
% 0.18/0.51 % (23062)------------------------------
% 0.18/0.51 % (23062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (23062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (23062)Termination reason: Inappropriate
% 0.18/0.51
% 0.18/0.51 % (23062)Memory used [KB]: 895
% 0.18/0.51 % (23062)Time elapsed: 0.004 s
% 0.18/0.51 % (23062)Instructions burned: 2 (million)
% 0.18/0.51 % (23062)------------------------------
% 0.18/0.51 % (23062)------------------------------
% 0.18/0.51 % (23084)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (23076)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)
% 0.18/0.51 % (23079)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)
% 0.18/0.51 % (23061)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)
% 0.18/0.52 % (23078)Also succeeded, but the first one will report.
% 0.18/0.52 % (23058)Also succeeded, but the first one will report.
% 0.18/0.52 % (23075)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (23075)------------------------------
% 0.18/0.52 % (23075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (23075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (23075)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (23075)Memory used [KB]: 1151
% 0.18/0.52 % (23075)Time elapsed: 0.115 s
% 0.18/0.52 % (23075)Instructions burned: 11 (million)
% 0.18/0.52 % (23075)------------------------------
% 0.18/0.52 % (23075)------------------------------
% 0.18/0.52 % (23055)Success in time 0.171 s
%------------------------------------------------------------------------------