TSTP Solution File: DAT001_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT001_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 11:03:24 EDT 2024
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',check_list) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT001_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n031.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 Apr 29 22:44:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (7251)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.38 % (7257)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.38 % (7252)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.38 % (7252)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.38 % (7252)Terminated due to inappropriate strategy.
% 0.17/0.38 % (7252)------------------------------
% 0.17/0.38 % (7252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.38 % (7252)Termination reason: Inappropriate
% 0.17/0.38
% 0.17/0.38 % (7252)Memory used [KB]: 718
% 0.17/0.38 % (7252)Time elapsed: 0.002 s
% 0.17/0.38 % (7252)Instructions burned: 2 (million)
% 0.17/0.38 % (7252)------------------------------
% 0.17/0.38 % (7252)------------------------------
% 0.17/0.38 % (7254)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)
% 0.17/0.38 % (7258)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)
% 0.17/0.38 % (7258)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.38 % (7258)Terminated due to inappropriate strategy.
% 0.17/0.38 % (7258)------------------------------
% 0.17/0.38 % (7258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (7258)Termination reason: Inappropriate
% 0.17/0.39
% 0.17/0.39 % (7258)Memory used [KB]: 719
% 0.17/0.39 % (7258)Time elapsed: 0.002 s
% 0.17/0.39 % (7258)Instructions burned: 2 (million)
% 0.17/0.39 % (7258)------------------------------
% 0.17/0.39 % (7258)------------------------------
% 0.17/0.39 % (7253)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.39 % (7253)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.39 % (7253)Terminated due to inappropriate strategy.
% 0.17/0.39 % (7253)------------------------------
% 0.17/0.39 % (7253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (7253)Termination reason: Inappropriate
% 0.17/0.39
% 0.17/0.39 % (7253)Memory used [KB]: 718
% 0.17/0.39 % (7253)Time elapsed: 0.001 s
% 0.17/0.39 % (7253)Instructions burned: 2 (million)
% 0.17/0.39 % (7253)------------------------------
% 0.17/0.39 % (7253)------------------------------
% 0.17/0.39 % (7255)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.39 % (7255)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.39 % (7255)Terminated due to inappropriate strategy.
% 0.17/0.39 % (7255)------------------------------
% 0.17/0.39 % (7255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (7255)Termination reason: Inappropriate
% 0.17/0.39
% 0.17/0.39 % (7255)Memory used [KB]: 719
% 0.17/0.39 % (7255)Time elapsed: 0.002 s
% 0.17/0.39 % (7255)Instructions burned: 2 (million)
% 0.17/0.39 % (7255)------------------------------
% 0.17/0.39 % (7255)------------------------------
% 0.17/0.39 % (7256)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.41 % (7259)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)
% 0.17/0.41 % (7259)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.41 % (7259)Terminated due to inappropriate strategy.
% 0.17/0.41 % (7259)------------------------------
% 0.17/0.41 % (7259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.41 % (7259)Termination reason: Inappropriate
% 0.17/0.41
% 0.17/0.41 % (7259)Memory used [KB]: 720
% 0.17/0.41 % (7259)Time elapsed: 0.005 s
% 0.17/0.41 % (7259)Instructions burned: 2 (million)
% 0.17/0.41 % (7259)------------------------------
% 0.17/0.41 % (7259)------------------------------
% 0.17/0.41 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.41 % (7260)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)
% 0.17/0.43 % (7261)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)
% 0.17/0.43 % (7261)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.43 % (7261)Terminated due to inappropriate strategy.
% 0.17/0.43 % (7261)------------------------------
% 0.17/0.43 % (7261)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.43 % (7261)Termination reason: Inappropriate
% 0.17/0.43
% 0.17/0.43 % (7261)Memory used [KB]: 720
% 0.17/0.43 % (7261)Time elapsed: 0.002 s
% 0.17/0.43 % (7261)Instructions burned: 2 (million)
% 0.17/0.43 % (7261)------------------------------
% 0.17/0.43 % (7261)------------------------------
% 0.17/0.43 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.44 % (7254)First to succeed.
% 0.17/0.45 % (7262)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)
% 0.17/0.45 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.17/0.45 % (7263)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.46 % (7254)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (7254)------------------------------
% 0.17/0.46 % (7254)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.46 % (7254)Termination reason: Refutation
% 0.17/0.46
% 0.17/0.46 % (7254)Memory used [KB]: 1231
% 0.17/0.46 % (7254)Time elapsed: 0.089 s
% 0.17/0.46 % (7254)Instructions burned: 72 (million)
% 0.17/0.46 % (7254)------------------------------
% 0.17/0.46 % (7254)------------------------------
% 0.17/0.46 % (7251)Success in time 0.11 s
% 0.17/0.46 7262 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % (7262)------------------------------
% 0.17/0.46 % (7262)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.46 % (7262)Termination reason: Unknown
% 0.17/0.46 % (7262)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (7262)Memory used [KB]: 991
% 0.17/0.46 % (7262)Time elapsed: 0.070 s
% 0.17/0.46 % (7262)Instructions burned: 26 (million)
% 0.17/0.46 % (7262)------------------------------
% 0.17/0.46 % (7262)------------------------------
% 0.17/0.46 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------