TSTP Solution File: NUM743_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM743_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 14:37:28 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 23 ~; 23 |; 0 &)
% ( 0 <=>; 11 =>; 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 : 42 ( 42 !; 0 ?; 42 :)
% 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(f79,plain,
$false,
inference(subsumption_resolution,[],[f78,f24]) ).
tff(f24,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
~ lessf(x,z),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
~ lessf(x,z),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
lessf(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz51b) ).
tff(f78,plain,
lessf(x,z),
inference(resolution,[],[f77,f25]) ).
tff(f25,plain,
lessf(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
lessf(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f77,plain,
! [X0: frac] :
( ~ lessf(X0,y)
| lessf(X0,z) ),
inference(subsumption_resolution,[],[f74,f29]) ).
tff(f29,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ lessf(X1,X2)
| lessf(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,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/sandbox/benchmark/theBenchmark.p',satz50) ).
tff(f74,plain,
! [X0: frac] :
( lessf(X0,z)
| ~ lessf(X0,y)
| lessf(y,z) ),
inference(resolution,[],[f71,f27]) ).
tff(f27,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz37) ).
tff(f71,plain,
! [X0: frac,X1: frac] :
( ~ eq(X1,X0)
| lessf(X0,z)
| ~ lessf(X1,y)
| lessf(y,z) ),
inference(resolution,[],[f30,f26]) ).
tff(f26,plain,
( eq(y,z)
| lessf(y,z) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( eq(y,z)
| lessf(y,z) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ lessf(y,z)
=> eq(y,z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k) ).
tff(f30,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| lessf(X2,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( lessf(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,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/sandbox/benchmark/theBenchmark.p',satz45) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM743_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:45:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2556)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (2560)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [3,2]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3,2]
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 % (2560)Refutation not found, incomplete strategy% (2560)------------------------------
% 0.13/0.37 % (2560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (2560)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (2560)Memory used [KB]: 726
% 0.13/0.37 % (2560)Time elapsed: 0.003 s
% 0.13/0.37 % (2560)Instructions burned: 4 (million)
% 0.13/0.37 % (2560)------------------------------
% 0.13/0.37 % (2560)------------------------------
% 0.21/0.37 % (2557)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (2559)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)
% 0.21/0.37 % (2561)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (2558)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (2562)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 % (2563)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)
% 0.21/0.37 Detected minimum model sizes of [1,1]
% 0.21/0.37 Detected maximum model sizes of [3,2]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [1,2]
% 0.21/0.37 Detected minimum model sizes of [1,1]
% 0.21/0.37 Detected maximum model sizes of [3,2]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 Detected minimum model sizes of [1,1]
% 0.21/0.37 Detected maximum model sizes of [3,2]
% 0.21/0.37 TRYING [1,2]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 TRYING [3,2]
% 0.21/0.37 TRYING [1,2]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 TRYING [3,2]
% 0.21/0.37 TRYING [3,2]
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (2557)Refutation not found, incomplete strategy% (2557)------------------------------
% 0.21/0.37 % (2557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (2557)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (2557)Memory used [KB]: 723
% 0.21/0.37 % (2557)Time elapsed: 0.004 s
% 0.21/0.37 % (2557)Instructions burned: 4 (million)
% 0.21/0.37 % (2557)------------------------------
% 0.21/0.37 % (2557)------------------------------
% 0.21/0.37 % (2561)First to succeed.
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (2563)Refutation not found, incomplete strategy% (2563)------------------------------
% 0.21/0.37 % (2563)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (2563)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (2563)Memory used [KB]: 723
% 0.21/0.37 % (2563)Time elapsed: 0.004 s
% 0.21/0.37 % (2563)Instructions burned: 4 (million)
% 0.21/0.37 % (2563)------------------------------
% 0.21/0.37 % (2563)------------------------------
% 0.21/0.37 % (2558)Refutation not found, incomplete strategy% (2558)------------------------------
% 0.21/0.37 % (2558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (2558)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (2558)Memory used [KB]: 723
% 0.21/0.37 % (2558)Time elapsed: 0.004 s
% 0.21/0.37 % (2558)Instructions burned: 4 (million)
% 0.21/0.37 % (2558)------------------------------
% 0.21/0.37 % (2558)------------------------------
% 0.21/0.37 % (2562)Also succeeded, but the first one will report.
% 0.21/0.37 % (2561)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (2561)------------------------------
% 0.21/0.37 % (2561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (2561)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (2561)Memory used [KB]: 751
% 0.21/0.37 % (2561)Time elapsed: 0.004 s
% 0.21/0.37 % (2561)Instructions burned: 4 (million)
% 0.21/0.37 % (2561)------------------------------
% 0.21/0.37 % (2561)------------------------------
% 0.21/0.37 % (2556)Success in time 0.018 s
%------------------------------------------------------------------------------