TSTP Solution File: NUM765_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM765_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 : n012.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 02:13:19 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 50 ( 3 unt; 8 typ; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 53 ~; 34 |; 5 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 64 :)
% 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(f101,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f60,f62,f99,f100]) ).
tff(f100,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f97,f55,f42]) ).
tff(f42,plain,
( spl0_1
<=> moref(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f55,plain,
( spl0_4
<=> eq(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f97,plain,
( ~ eq(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f34,f27]) ).
tff(f27,plain,
~ moref(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ~ eq(pf(x,z),pf(y,u))
& ~ moref(pf(x,z),pf(y,u)) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,negated_conjecture,
~ ( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
( ~ moref(pf(x,z),pf(y,u))
=> eq(pf(x,z),pf(y,u)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz66) ).
tff(f34,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,X3)
& ~ moref(X2,X3) )
| ~ moref(X0,X1) ),
inference(flattening,[],[f23]) ).
tff(f23,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ( ~ eq(X2,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)
=> eq(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)
=> eq(X3,X4) )
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz65b) ).
tff(f99,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f98,f51,f46]) ).
tff(f46,plain,
( spl0_2
<=> eq(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f51,plain,
( spl0_3
<=> moref(z,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f98,plain,
( ~ moref(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f36,f27]) ).
tff(f36,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,[],[f26]) ).
tff(f26,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(pf(X0,X2),pf(X1,X3))
| ~ moref(X2,X3)
| ( ~ eq(X0,X1)
& ~ moref(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( ( ~ moref(X0,X1)
=> eq(X0,X1) )
=> ( moref(X2,X3)
=> moref(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X1: frac,X2: frac,X3: frac,X4: frac] :
( ( ~ moref(X1,X2)
=> eq(X1,X2) )
=> ( moref(X3,X4)
=> moref(pf(X1,X3),pf(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz65a) ).
tff(f62,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f61,f51,f42]) ).
tff(f61,plain,
( ~ moref(z,u)
| ~ moref(x,y) ),
inference(resolution,[],[f33,f27]) ).
tff(f33,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,[],[f24]) ).
tff(f60,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f59,f55,f46]) ).
tff(f59,plain,
( ~ eq(z,u)
| ~ eq(x,y) ),
inference(resolution,[],[f32,f28]) ).
tff(f28,plain,
~ eq(pf(x,z),pf(y,u)),
inference(cnf_transformation,[],[f17]) ).
tff(f32,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,[],[f22]) ).
tff(f22,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(pf(X0,X2),pf(X1,X3))
| ~ eq(X2,X3)
| ~ eq(X0,X1) ),
inference(flattening,[],[f21]) ).
tff(f21,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,[],[f14]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( eq(X0,X1)
=> ( eq(X2,X3)
=> eq(pf(X0,X2),pf(X1,X3)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,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/sandbox/benchmark/theBenchmark.p',satz56) ).
tff(f58,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f55,f51]) ).
tff(f30,plain,
( eq(z,u)
| moref(z,u) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( eq(z,u)
| moref(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
tff(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f46,f42]) ).
tff(f29,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM765_8 : TPTP v8.2.0. Released v8.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 07:33:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.36 % (17731)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (17732)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (17735)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (17734)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)
% 0.22/0.38 % (17736)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (17737)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (17738)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)
% 0.22/0.38 % (17733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [max,2]
% 0.22/0.38 Detected maximum model sizes of [max,2]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [max,2]
% 0.22/0.38 TRYING [1,2]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [max,2]
% 0.22/0.38 TRYING [1,2]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [1,2]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [1,2]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 % (17737)Also succeeded, but the first one will report.
% 0.22/0.38 % (17734)First to succeed.
% 0.22/0.38 % (17736)Also succeeded, but the first one will report.
% 0.22/0.38 % (17734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17731"
% 0.22/0.38 % (17734)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (17734)------------------------------
% 0.22/0.38 % (17734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (17734)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (17734)Memory used [KB]: 767
% 0.22/0.38 % (17734)Time elapsed: 0.006 s
% 0.22/0.38 % (17734)Instructions burned: 5 (million)
% 0.22/0.38 % (17731)Success in time 0.011 s
%------------------------------------------------------------------------------