TSTP Solution File: NUM746_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM746_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 : n025.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 14:37:29 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 42 ~; 36 |; 5 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 53 ( 53 !; 0 ?; 53 :)
% 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(f92,plain,
$false,
inference(subsumption_resolution,[],[f90,f27]) ).
tff(f27,plain,
~ lessf(x,z),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ eq(x,z)
& ~ lessf(x,z) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ~ lessf(x,z)
=> eq(x,z) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ~ lessf(x,z)
=> eq(x,z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz52) ).
tff(f90,plain,
lessf(x,z),
inference(resolution,[],[f89,f46]) ).
tff(f46,plain,
! [X0: frac] :
( ~ lessf(X0,y)
| lessf(X0,z) ),
inference(subsumption_resolution,[],[f44,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)
| ( ~ eq(X1,X2)
& ~ lessf(X1,X2) )
| ~ lessf(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ( ~ eq(X1,X2)
& ~ lessf(X1,X2) )
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> ( ( ~ lessf(X1,X2)
=> eq(X1,X2) )
=> lessf(X0,X2) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac] :
( lessf(X1,X2)
=> ( ( ~ lessf(X2,X3)
=> eq(X2,X3) )
=> lessf(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz51b) ).
tff(f44,plain,
! [X0: frac] :
( lessf(X0,z)
| ~ lessf(X0,y)
| lessf(y,z) ),
inference(resolution,[],[f34,f30]) ).
tff(f30,plain,
( eq(y,z)
| lessf(y,z) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,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(f34,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(X1,X2)
| lessf(X0,X2)
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f89,plain,
lessf(x,y),
inference(subsumption_resolution,[],[f87,f27]) ).
tff(f87,plain,
( lessf(x,y)
| lessf(x,z) ),
inference(resolution,[],[f86,f49]) ).
tff(f49,plain,
! [X0: frac] :
( ~ lessf(y,X0)
| lessf(x,X0) ),
inference(subsumption_resolution,[],[f47,f33]) ).
tff(f47,plain,
! [X0: frac] :
( ~ lessf(y,X0)
| lessf(x,X0)
| lessf(x,y) ),
inference(resolution,[],[f36,f29]) ).
tff(f29,plain,
( eq(x,y)
| lessf(x,y) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( eq(x,y)
| lessf(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ lessf(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f36,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ lessf(X1,X2)
| lessf(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ( ~ eq(X0,X1)
& ~ lessf(X0,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X2)
| ~ lessf(X1,X2)
| ( ~ eq(X0,X1)
& ~ lessf(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac] :
( ( ~ lessf(X0,X1)
=> eq(X0,X1) )
=> ( lessf(X1,X2)
=> lessf(X0,X2) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac] :
( ( ~ lessf(X1,X2)
=> eq(X1,X2) )
=> ( lessf(X2,X3)
=> lessf(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz51a) ).
tff(f86,plain,
( lessf(y,z)
| lessf(x,y) ),
inference(subsumption_resolution,[],[f85,f28]) ).
tff(f28,plain,
~ eq(x,z),
inference(cnf_transformation,[],[f17]) ).
tff(f85,plain,
( eq(x,z)
| lessf(y,z)
| lessf(x,y) ),
inference(resolution,[],[f42,f29]) ).
tff(f42,plain,
! [X0: frac] :
( ~ eq(X0,y)
| eq(X0,z)
| lessf(y,z) ),
inference(resolution,[],[f32,f30]) ).
tff(f32,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ eq(X1,X2)
| eq(X0,X2)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X2)
| ~ eq(X1,X2)
| ~ eq(X0,X1) ),
inference(flattening,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X2)
| ~ eq(X1,X2)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X1)
=> ( eq(X1,X2)
=> eq(X0,X2) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac] :
( eq(X1,X2)
=> ( eq(X2,X3)
=> eq(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM746_8 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:10:11 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.35 % (12921)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (12925)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/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 TRYING [2,2]
% 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 % (12925)Refutation not found, incomplete strategy% (12925)------------------------------
% 0.21/0.37 % (12925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (12925)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (12925)Memory used [KB]: 725
% 0.21/0.37 % (12925)Time elapsed: 0.003 s
% 0.21/0.37 % (12925)Instructions burned: 4 (million)
% 0.21/0.37 % (12925)------------------------------
% 0.21/0.37 % (12925)------------------------------
% 0.21/0.37 % (12922)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (12923)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (12924)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 % (12926)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (12927)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 % (12928)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 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 TRYING [2,2]
% 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 Detected minimum model sizes of [1,1]
% 0.21/0.37 TRYING [3,2]
% 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 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (12922)Refutation not found, incomplete strategy% (12922)------------------------------
% 0.21/0.37 % (12922)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (12922)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (12922)Memory used [KB]: 724
% 0.21/0.37 % (12922)Time elapsed: 0.004 s
% 0.21/0.37 % (12922)Instructions burned: 4 (million)
% 0.21/0.37 % (12922)------------------------------
% 0.21/0.37 % (12922)------------------------------
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (12923)Refutation not found, incomplete strategy% (12923)------------------------------
% 0.21/0.37 % (12923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (12923)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (12923)Memory used [KB]: 724
% 0.21/0.37 % (12923)Time elapsed: 0.004 s
% 0.21/0.37 % (12923)Instructions burned: 4 (million)
% 0.21/0.37 % (12923)------------------------------
% 0.21/0.37 % (12923)------------------------------
% 0.21/0.37 TRYING [3,2]
% 0.21/0.37 % (12926)First to succeed.
% 0.21/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.37 % (12928)Refutation not found, incomplete strategy% (12928)------------------------------
% 0.21/0.37 % (12928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (12928)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.37
% 0.21/0.37 % (12928)Memory used [KB]: 725
% 0.21/0.37 % (12928)Time elapsed: 0.004 s
% 0.21/0.37 % (12928)Instructions burned: 4 (million)
% 0.21/0.37 % (12928)------------------------------
% 0.21/0.37 % (12928)------------------------------
% 0.21/0.37 % (12927)Also succeeded, but the first one will report.
% 0.21/0.37 % (12926)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 % (12926)------------------------------
% 0.21/0.37 % (12926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (12926)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (12926)Memory used [KB]: 752
% 0.21/0.37 % (12926)Time elapsed: 0.004 s
% 0.21/0.37 % (12926)Instructions burned: 5 (million)
% 0.21/0.37 % (12926)------------------------------
% 0.21/0.37 % (12926)------------------------------
% 0.21/0.37 % (12921)Success in time 0.019 s
%------------------------------------------------------------------------------