TSTP Solution File: DAT001_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT001_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 19:50:46 EDT 2024
% Result : Theorem 0.23s 0.42s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 10 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 66 ( 8 atm; 0 fun; 48 num; 10 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 : 14 ( 14 !; 0 ?; 14 :)
% 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(f1543,plain,
$false,
inference(resolution,[],[f1542,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(f1542,plain,
~ sorted(mycons(100,nil)),
inference(evaluation,[],[f1541]) ).
tff(f1541,plain,
( ~ sorted(mycons(100,nil))
| ~ $less(7,100) ),
inference(resolution,[],[f1540,f24]) ).
tff(f24,plain,
! [X2: list,X0: $int,X1: $int] :
( sorted(mycons(X0,mycons(X1,X2)))
| ~ sorted(mycons(X1,X2))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: $int,X1: $int,X2: list] :
( sorted(mycons(X0,mycons(X1,X2)))
| ~ sorted(mycons(X1,X2))
| ~ $less(X0,X1) ),
inference(flattening,[],[f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int,X2: list] :
( sorted(mycons(X0,mycons(X1,X2)))
| ~ sorted(mycons(X1,X2))
| ~ $less(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: $int,X1: $int,X2: list] :
( ( sorted(mycons(X1,X2))
& $less(X0,X1) )
=> sorted(mycons(X0,mycons(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',recursive_sort) ).
tff(f1540,plain,
~ sorted(mycons(7,mycons(100,nil))),
inference(evaluation,[],[f1539]) ).
tff(f1539,plain,
( ~ sorted(mycons(7,mycons(100,nil)))
| ~ $less(4,7) ),
inference(resolution,[],[f256,f24]) ).
tff(f256,plain,
~ sorted(mycons(4,mycons(7,mycons(100,nil)))),
inference(evaluation,[],[f255]) ).
tff(f255,plain,
( ~ sorted(mycons(4,mycons(7,mycons(100,nil))))
| ~ $less(2,4) ),
inference(resolution,[],[f154,f24]) ).
tff(f154,plain,
~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))),
inference(evaluation,[],[f153]) ).
tff(f153,plain,
( ~ sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil)))))
| ~ $less(1,2) ),
inference(resolution,[],[f24,f21]) ).
tff(f21,plain,
~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
inference(cnf_transformation,[],[f18]) ).
tff(f18,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
% 0.10/0.12 % Problem : DAT001_1 : TPTP v8.2.0. Released v5.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 23:18:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (17082)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17083)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (17084)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17086)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (17085)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (17088)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (17087)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (17089)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (17083)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17084)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17084)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17084)------------------------------
% 0.15/0.38 % (17084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17086)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17083)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17083)------------------------------
% 0.15/0.38 % (17083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17083)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17083)Memory used [KB]: 718
% 0.15/0.38 % (17083)Time elapsed: 0.002 s
% 0.15/0.38 % (17083)Instructions burned: 2 (million)
% 0.15/0.38 % (17086)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17086)------------------------------
% 0.15/0.38 % (17086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17086)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17086)Memory used [KB]: 719
% 0.15/0.38 % (17086)Time elapsed: 0.002 s
% 0.15/0.38 % (17086)Instructions burned: 2 (million)
% 0.15/0.38 % (17084)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17089)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (17084)Memory used [KB]: 719
% 0.15/0.38 % (17089)Terminated due to inappropriate strategy.
% 0.15/0.38 % (17089)------------------------------
% 0.15/0.38 % (17089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (17089)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (17089)Memory used [KB]: 719
% 0.15/0.38 % (17089)Time elapsed: 0.002 s
% 0.15/0.38 % (17089)Instructions burned: 2 (million)
% 0.15/0.38 % (17084)Time elapsed: 0.002 s
% 0.15/0.38 % (17084)Instructions burned: 2 (million)
% 0.15/0.38 % (17086)------------------------------
% 0.15/0.38 % (17086)------------------------------
% 0.15/0.38 % (17083)------------------------------
% 0.15/0.38 % (17083)------------------------------
% 0.15/0.38 % (17089)------------------------------
% 0.15/0.38 % (17089)------------------------------
% 0.15/0.38 % (17084)------------------------------
% 0.15/0.38 % (17084)------------------------------
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.15/0.40 % (17090)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (17092)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40 % (17091)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.40 % (17093)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40 % (17090)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (17090)Terminated due to inappropriate strategy.
% 0.15/0.40 % (17090)------------------------------
% 0.15/0.40 % (17090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (17090)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (17090)Memory used [KB]: 720
% 0.15/0.40 % (17090)Time elapsed: 0.002 s
% 0.15/0.40 % (17090)Instructions burned: 2 (million)
% 0.15/0.40 % (17092)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.40 % (17092)Terminated due to inappropriate strategy.
% 0.15/0.40 % (17092)------------------------------
% 0.15/0.40 % (17092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (17092)Termination reason: Inappropriate
% 0.15/0.40
% 0.15/0.40 % (17092)Memory used [KB]: 720
% 0.15/0.40 % (17092)Time elapsed: 0.002 s
% 0.15/0.40 % (17092)Instructions burned: 2 (million)
% 0.15/0.40 % (17090)------------------------------
% 0.15/0.40 % (17090)------------------------------
% 0.15/0.40 % (17092)------------------------------
% 0.15/0.40 % (17092)------------------------------
% 0.23/0.42 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.23/0.42 % (17094)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.42 % (17085)First to succeed.
% 0.23/0.42 % (17085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17082"
% 0.23/0.42 % (17085)Refutation found. Thanks to Tanya!
% 0.23/0.42 % SZS status Theorem for theBenchmark
% 0.23/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.42 % (17085)------------------------------
% 0.23/0.42 % (17085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.42 % (17085)Termination reason: Refutation
% 0.23/0.42
% 0.23/0.42 % (17085)Memory used [KB]: 1231
% 0.23/0.42 % (17085)Time elapsed: 0.040 s
% 0.23/0.42 % (17085)Instructions burned: 73 (million)
% 0.23/0.42 % (17082)Success in time 0.053 s
%------------------------------------------------------------------------------