TSTP Solution File: NUM789_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM789_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 : n009.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 : Sun May 5 08:42:23 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 43 ~; 11 |; 4 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
rat: $tType ).
tff(func_def_0,type,
x0: rat ).
tff(func_def_1,type,
y0: rat ).
tff(pred_def_1,type,
less: ( rat * rat ) > $o ).
tff(pred_def_2,type,
more: ( rat * rat ) > $o ).
tff(pred_def_3,type,
is: ( rat * rat ) > $o ).
tff(f32,plain,
$false,
inference(subsumption_resolution,[],[f31,f19]) ).
tff(f19,plain,
less(x0,y0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
less(x0,y0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f31,plain,
~ less(x0,y0),
inference(resolution,[],[f30,f22]) ).
tff(f22,plain,
! [X0: rat,X1: rat] :
( ~ more(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: rat,X1: rat] :
( ( ~ is(X0,X1)
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ~ is(X0,X1) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: rat,X1: rat] :
( ( ~ is(X0,X1)
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ~ is(X0,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: rat,X1: rat] :
~ ( ( is(X0,X1)
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ~ is(X0,X1) ) ) ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
! [X0: rat,X1: rat] :
~ ( ( is(X0,X1)
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ~ is(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: rat,X2: rat] :
~ ( ( is(X1,X2)
=> ~ more(X1,X2) )
=> ~ ~ ( ( more(X1,X2)
=> ~ less(X1,X2) )
=> ~ ( less(X1,X2)
=> ~ is(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81b) ).
tff(f30,plain,
more(x0,y0),
inference(subsumption_resolution,[],[f29,f19]) ).
tff(f29,plain,
( ~ less(x0,y0)
| more(x0,y0) ),
inference(resolution,[],[f23,f18]) ).
tff(f18,plain,
( is(x0,y0)
| more(x0,y0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( is(x0,y0)
| more(x0,y0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,plain,
( ~ more(x0,y0)
=> is(x0,y0) ),
inference(flattening,[],[f5]) ).
tff(f5,negated_conjecture,
~ ~ ( ~ more(x0,y0)
=> is(x0,y0) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
~ ( ~ more(x0,y0)
=> is(x0,y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81h) ).
tff(f23,plain,
! [X0: rat,X1: rat] :
( ~ is(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM789_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n009.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 : Fri May 3 14:46:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (12201)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (12207)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (12205)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (12206)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (12204)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)
% 0.15/0.37 % (12202)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (12203)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (12208)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)
% 0.15/0.37 Detected minimum model sizes of [1,1,1]
% 0.15/0.37 Detected minimum model sizes of [1,1]
% 0.15/0.37 Detected minimum model sizes of [1,1]
% 0.15/0.37 Detected maximum model sizes of [2,2]
% 0.15/0.37 Detected maximum model sizes of [2,2]
% 0.15/0.37 Detected minimum model sizes of [1,1,1]
% 0.15/0.37 Detected maximum model sizes of [1,1,2]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,1,1]
% 0.15/0.37 Detected maximum model sizes of [1,1,2]
% 0.15/0.37 TRYING [1,1,1]
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (12202)Refutation not found, incomplete strategy% (12202)------------------------------
% 0.15/0.37 % (12202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (12208)Refutation not found, incomplete strategy% (12208)------------------------------
% 0.15/0.37 % (12208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (12208)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (12208)Memory used [KB]: 722
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (12208)Time elapsed: 0.002 s
% 0.15/0.37 % (12208)Instructions burned: 2 (million)
% 0.15/0.37 % (12203)Refutation not found, incomplete strategy% (12203)------------------------------
% 0.15/0.37 % (12203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (12203)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (12203)Memory used [KB]: 722
% 0.15/0.37 % (12203)Time elapsed: 0.003 s
% 0.15/0.37 % (12203)Instructions burned: 2 (million)
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (12202)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (12202)Memory used [KB]: 721
% 0.15/0.37 % (12202)Time elapsed: 0.003 s
% 0.15/0.37 % (12202)Instructions burned: 2 (million)
% 0.15/0.37 % (12205)Refutation not found, incomplete strategy% (12205)------------------------------
% 0.15/0.37 % (12205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (12205)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (12205)Memory used [KB]: 722
% 0.15/0.37 % (12205)Time elapsed: 0.003 s
% 0.15/0.37 % (12205)Instructions burned: 2 (million)
% 0.15/0.37 % (12206)First to succeed.
% 0.15/0.37 % (12208)------------------------------
% 0.15/0.37 % (12208)------------------------------
% 0.15/0.37 % (12203)------------------------------
% 0.15/0.37 % (12203)------------------------------
% 0.15/0.37 % (12207)Also succeeded, but the first one will report.
% 0.15/0.37 % (12202)------------------------------
% 0.15/0.37 % (12202)------------------------------
% 0.15/0.37 % (12204)Also succeeded, but the first one will report.
% 0.15/0.37 % (12205)------------------------------
% 0.15/0.37 % (12205)------------------------------
% 0.15/0.37 % (12206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12201"
% 0.15/0.37 % (12206)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (12206)------------------------------
% 0.15/0.37 % (12206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (12206)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (12206)Memory used [KB]: 733
% 0.15/0.37 % (12206)Time elapsed: 0.003 s
% 0.15/0.37 % (12206)Instructions burned: 3 (million)
% 0.15/0.37 % (12201)Success in time 0.008 s
%------------------------------------------------------------------------------