TSTP Solution File: NUM761_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM761_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 : n018.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 02:13:18 EDT 2024
% Result : Theorem 0.17s 0.33s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 26 ~; 19 |; 0 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?; 40 :)
% 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(func_def_3,type,
u: frac ).
tff(func_def_4,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f45,f83]) ).
tff(f83,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f82,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f81,f32]) ).
tff(f32,plain,
( moref(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f30,plain,
( spl0_1
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f81,plain,
~ moref(x,y),
inference(subsumption_resolution,[],[f80,f23]) ).
tff(f23,plain,
moref(z,u),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
moref(z,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
tff(f80,plain,
( ~ moref(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f27,f22]) ).
tff(f22,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
~ moref(pf(x,z),pf(y,u)),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ moref(pf(x,z),pf(y,u)),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
moref(pf(x,z),pf(y,u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz65a) ).
tff(f27,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz64) ).
tff(f45,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f42,f34]) ).
tff(f34,plain,
( spl0_2
<=> eq(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f42,plain,
~ eq(x,y),
inference(subsumption_resolution,[],[f41,f23]) ).
tff(f41,plain,
( ~ moref(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f26,f22]) ).
tff(f26,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( eq(X1,X2)
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62g) ).
tff(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f34,f30]) ).
tff(f24,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM761_8 : TPTP v8.2.0. Released v8.0.0.
% 0.11/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 06:20:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (24556)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (24562)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.33 % (24563)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.33 % (24558)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.33 % (24557)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.33 % (24561)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.33 Detected minimum model sizes of [1,1]
% 0.17/0.33 Detected maximum model sizes of [max,2]
% 0.17/0.33 TRYING [1,1]
% 0.17/0.33 TRYING [1,2]
% 0.17/0.33 % (24564)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)
% 0.17/0.33 TRYING [2,2]
% 0.17/0.33 % (24560)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)
% 0.17/0.33 Detected minimum model sizes of [1,1]
% 0.17/0.33 Detected maximum model sizes of [max,2]
% 0.17/0.33 Detected minimum model sizes of [1,1]
% 0.17/0.33 TRYING [1,1]
% 0.17/0.33 Detected maximum model sizes of [max,2]
% 0.17/0.33 TRYING [1,1]
% 0.17/0.33 TRYING [1,2]
% 0.17/0.33 % (24562)Also succeeded, but the first one will report.
% 0.17/0.33 TRYING [1,2]
% 0.17/0.33 % (24563)First to succeed.
% 0.17/0.33 TRYING [2,2]
% 0.17/0.33 TRYING [2,2]
% 0.17/0.33 TRYING [3,2]
% 0.17/0.33 Detected minimum model sizes of [1,1]
% 0.17/0.33 Detected maximum model sizes of [max,2]
% 0.17/0.33 TRYING [1,1]
% 0.17/0.33 % (24563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24556"
% 0.17/0.33 TRYING [1,2]
% 0.17/0.33 TRYING [2,2]
% 0.17/0.33 TRYING [3,2]
% 0.17/0.33 % (24560)Also succeeded, but the first one will report.
% 0.17/0.33 TRYING [3,2]
% 0.17/0.33 % (24563)Refutation found. Thanks to Tanya!
% 0.17/0.33 % SZS status Theorem for theBenchmark
% 0.17/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34 % (24563)------------------------------
% 0.17/0.34 % (24563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34 % (24563)Termination reason: Refutation
% 0.17/0.34
% 0.17/0.34 % (24563)Memory used [KB]: 762
% 0.17/0.34 % (24563)Time elapsed: 0.004 s
% 0.17/0.34 % (24563)Instructions burned: 4 (million)
% 0.17/0.34 % (24556)Success in time 0.015 s
%------------------------------------------------------------------------------