TSTP Solution File: NUN081+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 08:45:06 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 181 ( 66 ~; 41 |; 63 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 142 ( 91 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(resolution,[],[f218,f192]) ).
fof(f192,plain,
r1(sK19),
inference(resolution,[],[f126,f69]) ).
fof(f69,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f126,plain,
! [X1] :
( ~ id(X1,sK19)
| r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f218,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f215,f196]) ).
fof(f196,plain,
! [X0,X1] :
( sP20(sK12(X1,X0))
| ~ r1(X0) ),
inference(resolution,[],[f127,f93]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1))
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1))
& id(sK11(X0,X1),sK9(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f31,f55,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
=> ( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) )
=> ( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
& id(sK11(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f127,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| ~ r1(X6)
| sP20(X5) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
<=> ~ sP20(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f215,plain,
! [X0] : ~ sP20(X0),
inference(resolution,[],[f213,f198]) ).
fof(f198,plain,
! [X0,X1] :
( sP21(sK12(X1,X0))
| ~ sP20(X0) ),
inference(resolution,[],[f129,f93]) ).
fof(f129,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ sP20(X5)
| sP21(X4) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP20(X5) )
<=> ~ sP21(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f213,plain,
! [X0] : ~ sP21(X0),
inference(resolution,[],[f200,f208]) ).
fof(f208,plain,
! [X0] : ~ sP22(X0),
inference(resolution,[],[f203,f206]) ).
fof(f206,plain,
! [X0] : ~ sP23(sK3(X0)),
inference(resolution,[],[f76,f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ sP23(X2) ),
inference(general_splitting,[],[f132,f133_D]) ).
fof(f133,plain,
! [X2,X3] :
( ~ id(X2,X3)
| ~ sP22(X3)
| sP23(X2) ),
inference(cnf_transformation,[],[f133_D]) ).
fof(f133_D,plain,
! [X2] :
( ! [X3] :
( ~ id(X2,X3)
| ~ sP22(X3) )
<=> ~ sP23(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ id(X2,X3)
| ~ r3(X0,X1,X2)
| ~ sP22(X3) ),
inference(general_splitting,[],[f130,f131_D]) ).
fof(f131,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP21(X4)
| sP22(X3) ),
inference(cnf_transformation,[],[f131_D]) ).
fof(f131_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ sP21(X4) )
<=> ~ sP22(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X4,X3)
| ~ id(X2,X3)
| ~ r3(X0,X1,X2)
| ~ sP21(X4) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ id(X2,X3)
| ~ r3(X0,X1,X2)
| ~ sP20(X5) ),
inference(general_splitting,[],[f68,f127_D]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X6,X5)
| ~ r1(X6)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ id(X2,X3)
| ~ r3(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ id(X2,X3) )
| ~ r3(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( r2(X6,X5)
& r1(X6) )
& r2(X5,X4) )
& r2(X4,X3) )
& id(X2,X3) )
& r3(X0,X1,X2) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( r2(X42,X48)
& r1(X42) )
& r2(X48,X40) )
& r2(X40,X39) )
& id(X46,X39) )
& r3(X62,X45,X46) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( r2(X42,X48)
& r1(X42) )
& r2(X48,X40) )
& r2(X40,X39) )
& id(X46,X39) )
& r3(X62,X45,X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplusyidthree) ).
fof(f76,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0))
& id(sK3(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
& id(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
=> ( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f203,plain,
! [X0] :
( sP23(sK3(X0))
| ~ sP22(X0) ),
inference(resolution,[],[f133,f74]) ).
fof(f74,plain,
! [X0] : id(sK3(X0),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f200,plain,
! [X0,X1] :
( sP22(sK12(X1,X0))
| ~ sP21(X0) ),
inference(resolution,[],[f131,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n014.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 : Fri May 3 18:51:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (17071)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (17074)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 % (17075)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 % (17076)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (17077)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (17072)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (17073)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (17078)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]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (17074)First to succeed.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.11/0.34 % (17074)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17071"
% 0.11/0.35 % (17074)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (17074)------------------------------
% 0.11/0.35 % (17074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.35 % (17074)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (17074)Memory used [KB]: 892
% 0.11/0.35 % (17074)Time elapsed: 0.006 s
% 0.11/0.35 % (17074)Instructions burned: 9 (million)
% 0.11/0.35 % (17071)Success in time 0.02 s
%------------------------------------------------------------------------------