TSTP Solution File: NUM762_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM762_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 14:37:35 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 64 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 135 ( 62 ~; 51 |; 0 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 96 !; 0 ?; 93 :)
% 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(pred_def_3,type,
sP0: ( frac * frac ) > $o ).
tff(f472,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f106,f319,f458,f471]) ).
tff(f471,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f467]) ).
tff(f467,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f105,f32]) ).
tff(f32,plain,
moref(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
moref(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f105,plain,
( ~ moref(x,y)
| spl1_3 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f103,plain,
( spl1_3
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f458,plain,
~ spl1_11,
inference(avatar_contradiction_clause,[],[f454]) ).
tff(f454,plain,
( $false
| ~ spl1_11 ),
inference(resolution,[],[f453,f32]) ).
tff(f453,plain,
( ~ moref(x,y)
| ~ spl1_11 ),
inference(resolution,[],[f318,f34]) ).
tff(f34,plain,
! [X0: frac] : eq(X0,X0),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac] : eq(X0,X0),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac] : eq(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz37) ).
tff(f318,plain,
( ! [X0: frac] :
( ~ eq(X0,y)
| ~ moref(x,X0) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f317,plain,
( spl1_11
<=> ! [X0: frac] :
( ~ eq(X0,y)
| ~ moref(x,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f319,plain,
( spl1_11
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f302,f51,f317]) ).
tff(f51,plain,
( spl1_2
<=> eq(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f302,plain,
! [X0: frac] :
( ~ eq(z,u)
| ~ eq(X0,y)
| ~ moref(x,X0) ),
inference(resolution,[],[f234,f36]) ).
tff(f36,plain,
! [X2: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(X0,X1)
=> moref(pf(X0,X2),pf(X1,X2)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: frac,X2: frac,X3: frac] :
( moref(X1,X2)
=> moref(pf(X1,X3),pf(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz61) ).
tff(f234,plain,
! [X0: frac,X1: frac] :
( ~ moref(pf(x,z),pf(X0,X1))
| ~ eq(X1,u)
| ~ eq(X0,y) ),
inference(resolution,[],[f205,f37]) ).
tff(f37,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( eq(X2,X3)
=> eq(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( eq(X1,X2)
=> ( eq(X3,X4)
=> eq(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz56) ).
tff(f205,plain,
! [X0: frac] :
( ~ eq(X0,pf(y,u))
| ~ moref(pf(x,z),X0) ),
inference(resolution,[],[f111,f34]) ).
tff(f111,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| ~ eq(X0,pf(x,z))
| ~ eq(X1,pf(y,u)) ),
inference(resolution,[],[f58,f31]) ).
tff(f31,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
~ moref(pf(x,z),pf(y,u)),
inference(flattening,[],[f10]) ).
tff(f10,negated_conjecture,
~ moref(pf(x,z),pf(y,u)),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
moref(pf(x,z),pf(y,u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz65b) ).
tff(f58,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(X3,X1)
| ~ moref(X2,X0)
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(resolution,[],[f42,f41]) ).
tff(f41,plain,
! [X2: frac,X3: frac,X0: frac] :
( sP0(X0,X3)
| ~ eq(X0,X2)
| moref(X2,X3) ),
inference(cnf_transformation,[],[f41_D]) ).
tff(f41_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ eq(X0,X2)
| moref(X2,X3) )
<=> ~ sP0(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
tff(f42,plain,
! [X3: frac,X0: frac,X1: frac] :
( ~ eq(X1,X3)
| ~ moref(X0,X1)
| ~ sP0(X0,X3) ),
inference(general_splitting,[],[f38,f41_D]) ).
tff(f38,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(flattening,[],[f27]) ).
tff(f27,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> moref(X2,X3) ) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( moref(X1,X2)
=> ( eq(X1,X3)
=> ( eq(X2,X4)
=> moref(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz44) ).
tff(f106,plain,
( ~ spl1_3
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f100,f47,f103]) ).
tff(f47,plain,
( spl1_1
<=> moref(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f100,plain,
( ~ moref(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f39,f31]) ).
tff(f39,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,[],[f30]) ).
tff(f30,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ~ moref(X0,X1) ),
inference(flattening,[],[f29]) ).
tff(f29,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,[],[f21]) ).
tff(f21,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f8]) ).
tff(f8,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(f54,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f33,f51,f47]) ).
tff(f33,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( eq(z,u)
| moref(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM762_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:13:56 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (19369)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (19371)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (19374)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (19373)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (19370)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 Detected minimum model sizes of [1,1]
% 0.11/0.34 Detected maximum model sizes of [max,2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 % (19376)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)
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 % (19372)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)
% 0.11/0.34 % (19375)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 Detected minimum model sizes of [1,1]
% 0.11/0.34 Detected maximum model sizes of [max,2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 Detected minimum model sizes of [1,1]
% 0.11/0.34 Detected maximum model sizes of [max,2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 Detected minimum model sizes of [1,1]
% 0.11/0.34 Detected maximum model sizes of [max,2]
% 0.11/0.34 TRYING [3,2]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 TRYING [3,2]
% 0.11/0.34 TRYING [3,2]
% 0.11/0.34 TRYING [3,2]
% 0.11/0.34 TRYING [4,2]
% 0.11/0.35 TRYING [4,2]
% 0.11/0.35 TRYING [4,2]
% 0.17/0.35 TRYING [4,2]
% 0.17/0.35 % (19372)First to succeed.
% 0.17/0.35 TRYING [5,2]
% 0.17/0.35 % (19372)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Theorem for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (19372)------------------------------
% 0.17/0.35 % (19372)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35 % (19372)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (19372)Memory used [KB]: 916
% 0.17/0.35 % (19372)Time elapsed: 0.013 s
% 0.17/0.35 % (19372)Instructions burned: 23 (million)
% 0.17/0.35 % (19372)------------------------------
% 0.17/0.35 % (19372)------------------------------
% 0.17/0.35 % (19369)Success in time 0.027 s
%------------------------------------------------------------------------------