TSTP Solution File: NUM742_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM742_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 May 21 02:13:10 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(pred_def_1,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f85,plain,
$false,
inference(subsumption_resolution,[],[f84,f27]) ).
tff(f27,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
~ lessf(x,z),
inference(flattening,[],[f9]) ).
tff(f9,negated_conjecture,
~ lessf(x,z),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
lessf(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz51a) ).
tff(f84,plain,
lessf(x,z),
inference(resolution,[],[f83,f28]) ).
tff(f28,plain,
lessf(y,z),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
lessf(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k) ).
tff(f83,plain,
! [X0: frac] :
( ~ lessf(y,X0)
| lessf(x,X0) ),
inference(subsumption_resolution,[],[f82,f33]) ).
tff(f33,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X1,X2)
| lessf(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> ( lessf(X1,X2)
=> lessf(X0,X2) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> ( lessf(X2,X3)
=> lessf(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz50) ).
tff(f82,plain,
! [X0: frac] :
( lessf(x,X0)
| ~ lessf(y,X0)
| lessf(x,y) ),
inference(resolution,[],[f77,f40]) ).
tff(f40,plain,
( eq(y,x)
| lessf(x,y) ),
inference(resolution,[],[f32,f29]) ).
tff(f29,plain,
( eq(x,y)
| lessf(x,y) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( eq(x,y)
| lessf(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ lessf(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(f32,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| eq(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: frac,X1: frac] :
( eq(X0,X1)
=> eq(X1,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac] :
( eq(X1,X2)
=> eq(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz38) ).
tff(f77,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(X2,X0)
| lessf(X0,X1)
| ~ lessf(X2,X1) ),
inference(resolution,[],[f34,f30]) ).
tff(f30,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz37) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| lessf(X2,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> lessf(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( lessf(X1,X2)
=> ( eq(X1,X3)
=> ( eq(X2,X4)
=> lessf(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz45) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM742_8 : TPTP v8.2.0. Released v8.0.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n015.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 May 20 04:23:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (20510)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (20511)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (20516)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (20512)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (20515)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (20517)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)
% 0.12/0.36 % (20514)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36 % (20513)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)
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected minimum model sizes of [1,1]
% 0.12/0.36 Detected maximum model sizes of [3,2]
% 0.12/0.36 Detected maximum model sizes of [3,2]
% 0.12/0.36 Detected maximum model sizes of [3,2]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 Detected maximum model sizes of [3,2]
% 0.12/0.36 TRYING [1,1]
% 0.12/0.36 TRYING [1,2]
% 0.12/0.36 TRYING [1,2]
% 0.12/0.36 TRYING [1,2]
% 0.12/0.36 TRYING [1,2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [2,2]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 TRYING [3,2]
% 0.12/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.12/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.12/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.12/0.36 % (20511)Refutation not found, incomplete strategy% (20511)------------------------------
% 0.12/0.36 % (20511)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (20511)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36 % (20511)Memory used [KB]: 723
% 0.12/0.36 % (20511)Time elapsed: 0.004 s
% 0.12/0.36 % (20511)Instructions burned: 4 (million)
% 0.12/0.36 % (20517)Refutation not found, incomplete strategy% (20517)------------------------------
% 0.12/0.36 % (20517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (20517)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36 % (20517)Memory used [KB]: 725
% 0.12/0.36 Cannot enumerate next child to try in an incomplete setup
% 0.12/0.36 % (20517)Time elapsed: 0.004 s
% 0.12/0.36 % (20517)Instructions burned: 4 (million)
% 0.12/0.36 % (20512)Refutation not found, incomplete strategy% (20512)------------------------------
% 0.12/0.36 % (20512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (20512)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36 % (20512)Memory used [KB]: 724
% 0.12/0.36 % (20512)Time elapsed: 0.004 s
% 0.12/0.36 % (20512)Instructions burned: 4 (million)
% 0.12/0.36 % (20514)Refutation not found, incomplete strategy% (20514)------------------------------
% 0.12/0.36 % (20514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (20514)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36 % (20514)Memory used [KB]: 726
% 0.12/0.36 % (20514)Time elapsed: 0.004 s
% 0.12/0.36 % (20514)Instructions burned: 4 (million)
% 0.12/0.36 % (20515)First to succeed.
% 0.12/0.36 % (20516)Also succeeded, but the first one will report.
% 0.12/0.36 % (20511)------------------------------
% 0.12/0.36 % (20511)------------------------------
% 0.12/0.36 % (20517)------------------------------
% 0.12/0.36 % (20517)------------------------------
% 0.12/0.36 % (20512)------------------------------
% 0.12/0.36 % (20512)------------------------------
% 0.12/0.36 % (20514)------------------------------
% 0.12/0.36 % (20514)------------------------------
% 0.12/0.36 % (20515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20510"
% 0.12/0.37 % (20515)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (20515)------------------------------
% 0.12/0.37 % (20515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (20515)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (20515)Memory used [KB]: 752
% 0.12/0.37 % (20515)Time elapsed: 0.005 s
% 0.12/0.37 % (20515)Instructions burned: 4 (million)
% 0.12/0.37 % (20510)Success in time 0.011 s
%------------------------------------------------------------------------------