TSTP Solution File: DAT002_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT002_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 : n019.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 16:04:35 EDT 2022
% Result : Theorem 0.11s 0.38s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 26 ~; 21 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 122 ( 26 atm; 10 fun; 55 num; 31 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
mycons: ( $int * list ) > list ).
tff(pred_def_1,type,
fib_sorted: list > $o ).
tff(f584,plain,
$false,
inference(evaluation,[],[f583]) ).
tff(f583,plain,
~ $less(7,100),
inference(resolution,[],[f582,f29]) ).
tff(f29,plain,
! [X0: $int,X1: $int] :
( fib_sorted(mycons(X0,mycons(X1,nil)))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: $int,X1: $int] :
( fib_sorted(mycons(X0,mycons(X1,nil)))
| ~ $less(X0,X1) ),
inference(rectify,[],[f25]) ).
tff(f25,plain,
! [X1: $int,X0: $int] :
( fib_sorted(mycons(X1,mycons(X0,nil)))
| ~ $less(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
=> fib_sorted(mycons(X1,mycons(X0,nil))) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: $int,X0: $int] :
( $less(X0,X1)
=> fib_sorted(mycons(X0,mycons(X1,nil))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',double_is_fib_sorted_if_ordered) ).
tff(f582,plain,
~ fib_sorted(mycons(7,mycons(100,nil))),
inference(evaluation,[],[f581]) ).
tff(f581,plain,
( ~ $less(4,7)
| ~ fib_sorted(mycons(7,mycons(100,nil)))
| $less(100,$sum(4,7)) ),
inference(resolution,[],[f528,f32]) ).
tff(f32,plain,
! [X2: $int,X3: $int,X0: $int,X1: list] :
( fib_sorted(mycons(X3,mycons(X2,mycons(X0,X1))))
| ~ $less(X3,X2)
| ~ fib_sorted(mycons(X2,mycons(X0,X1)))
| $less(X0,$sum(X3,X2)) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: $int,X1: list,X2: $int,X3: $int] :
( ~ fib_sorted(mycons(X2,mycons(X0,X1)))
| fib_sorted(mycons(X3,mycons(X2,mycons(X0,X1))))
| $less(X0,$sum(X3,X2))
| ~ $less(X3,X2) ),
inference(rectify,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: list,X3: $int,X2: $int] :
( ~ fib_sorted(mycons(X3,mycons(X0,X1)))
| fib_sorted(mycons(X2,mycons(X3,mycons(X0,X1))))
| $less(X0,$sum(X2,X3))
| ~ $less(X2,X3) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: $int,X1: list,X2: $int,X3: $int] :
( fib_sorted(mycons(X2,mycons(X3,mycons(X0,X1))))
| ~ fib_sorted(mycons(X3,mycons(X0,X1)))
| $less(X0,$sum(X2,X3))
| ~ $less(X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $int,X1: list,X2: $int,X3: $int] :
( ( fib_sorted(mycons(X3,mycons(X0,X1)))
& ~ $less(X0,$sum(X2,X3))
& $less(X2,X3) )
=> fib_sorted(mycons(X2,mycons(X3,mycons(X0,X1)))) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
! [X2: $int,X3: list,X0: $int,X1: $int] :
( ( $less(X0,X1)
& ~ $less(X2,$sum(X0,X1))
& fib_sorted(mycons(X1,mycons(X2,X3))) )
=> fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3)))) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,axiom,
! [X2: $int,X3: list,X0: $int,X1: $int] :
( ( $less(X0,X1)
& $greatereq(X2,$sum(X0,X1))
& fib_sorted(mycons(X1,mycons(X2,X3))) )
=> fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursive_fib_sort) ).
tff(f528,plain,
~ fib_sorted(mycons(4,mycons(7,mycons(100,nil)))),
inference(evaluation,[],[f527]) ).
tff(f527,plain,
( ~ fib_sorted(mycons(4,mycons(7,mycons(100,nil))))
| $less(7,$sum(2,4))
| ~ $less(2,4) ),
inference(resolution,[],[f526,f32]) ).
tff(f526,plain,
~ fib_sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))),
inference(evaluation,[],[f525]) ).
tff(f525,plain,
( $less(4,$sum(1,2))
| ~ fib_sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil)))))
| ~ $less(1,2) ),
inference(resolution,[],[f32,f31]) ).
tff(f31,plain,
~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',check_list) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : DAT002=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Aug 29 20:18:20 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.34 % (23799)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 (3000ds/51Mi)
% 0.11/0.34 % (23792)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 (3000ds/37Mi)
% 0.11/0.36 % (23793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.36 % (23814)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.11/0.36 % (23805)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 (3000ds/75Mi)
% 0.11/0.36 % (23797)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.11/0.36 % (23801)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.11/0.36 % (23804)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 (3000ds/68Mi)
% 0.11/0.36 % (23818)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.11/0.36 % (23799)First to succeed.
% 0.11/0.37 % (23796)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.11/0.37 % (23811)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.11/0.37 % (23796)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.37 % (23796)Terminated due to inappropriate strategy.
% 0.11/0.37 % (23796)------------------------------
% 0.11/0.37 % (23796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.37 % (23796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.37 % (23796)Termination reason: Inappropriate
% 0.11/0.37
% 0.11/0.37 % (23796)Memory used [KB]: 895
% 0.11/0.37 % (23796)Time elapsed: 0.004 s
% 0.11/0.37 % (23796)Instructions burned: 1 (million)
% 0.11/0.37 % (23796)------------------------------
% 0.11/0.37 % (23796)------------------------------
% 0.11/0.38 % (23802)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.11/0.38 % (23791)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.11/0.38 % (23807)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.11/0.38 % (23803)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.11/0.38 % (23799)Refutation found. Thanks to Tanya!
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.38 % (23799)------------------------------
% 0.11/0.38 % (23799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.38 % (23799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.38 % (23799)Termination reason: Refutation
% 0.11/0.38
% 0.11/0.38 % (23799)Memory used [KB]: 1279
% 0.11/0.38 % (23799)Time elapsed: 0.072 s
% 0.11/0.38 % (23799)Instructions burned: 18 (million)
% 0.11/0.38 % (23799)------------------------------
% 0.11/0.38 % (23799)------------------------------
% 0.11/0.38 % (23788)Success in time 0.119 s
%------------------------------------------------------------------------------