TSTP Solution File: DAT001_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : DAT001_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_uns --cores 0 -t %d %s
% Computer : n005.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 16:03:51 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 21 ~; 10 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 69 ( 9 atm; 0 fun; 48 num; 12 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?; 17 :)
% 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,
sorted: list > $o ).
tff(f48,plain,
$false,
inference(resolution,[],[f46,f23]) ).
tff(f23,plain,
! [X0: $int] : sorted(mycons(X0,nil)),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: $int] : sorted(mycons(X0,nil)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_is_sorted) ).
tff(f46,plain,
~ sorted(mycons(100,nil)),
inference(evaluation,[],[f45]) ).
tff(f45,plain,
( ~ $less(7,100)
| ~ sorted(mycons(100,nil)) ),
inference(resolution,[],[f36,f25]) ).
tff(f25,plain,
! [X2: $int,X0: $int,X1: list] :
( sorted(mycons(X0,mycons(X2,X1)))
| ~ sorted(mycons(X2,X1))
| ~ $less(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int,X1: list,X2: $int] :
( ~ sorted(mycons(X2,X1))
| sorted(mycons(X0,mycons(X2,X1)))
| ~ $less(X0,X2) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: $int,X1: list,X2: $int] :
( sorted(mycons(X0,mycons(X2,X1)))
| ~ $less(X0,X2)
| ~ sorted(mycons(X2,X1)) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X1: list,X2: $int] :
( ( $less(X0,X2)
& sorted(mycons(X2,X1)) )
=> sorted(mycons(X0,mycons(X2,X1))) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: $int,X2: list,X1: $int] :
( ( sorted(mycons(X1,X2))
& $less(X0,X1) )
=> sorted(mycons(X0,mycons(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recursive_sort) ).
tff(f36,plain,
~ sorted(mycons(7,mycons(100,nil))),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
( ~ $less(4,7)
| ~ sorted(mycons(7,mycons(100,nil))) ),
inference(resolution,[],[f33,f25]) ).
tff(f33,plain,
~ sorted(mycons(4,mycons(7,mycons(100,nil)))),
inference(evaluation,[],[f32]) ).
tff(f32,plain,
( ~ sorted(mycons(4,mycons(7,mycons(100,nil))))
| ~ $less(2,4) ),
inference(resolution,[],[f31,f25]) ).
tff(f31,plain,
~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))),
inference(evaluation,[],[f30]) ).
tff(f30,plain,
( ~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil)))))
| ~ $less(1,2) ),
inference(resolution,[],[f25,f22]) ).
tff(f22,plain,
~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',check_list) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT001=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.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 : Mon Aug 29 20:14:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.52 % (7221)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (7216)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (7211)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.52 % (7221)First to succeed.
% 0.20/0.53 % (7229)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (7216)Instruction limit reached!
% 0.20/0.53 % (7216)------------------------------
% 0.20/0.53 % (7216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7223)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (7204)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.20/0.53 % (7211)Also succeeded, but the first one will report.
% 0.20/0.53 % (7216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7221)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (7221)------------------------------
% 0.20/0.53 % (7221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7221)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (7221)Memory used [KB]: 5500
% 0.20/0.53 % (7221)Time elapsed: 0.117 s
% 0.20/0.53 % (7221)Instructions burned: 2 (million)
% 0.20/0.53 % (7221)------------------------------
% 0.20/0.53 % (7221)------------------------------
% 0.20/0.53 % (7203)Success in time 0.182 s
%------------------------------------------------------------------------------