TSTP Solution File: NUN060+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 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 02:17:49 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 56 ( 13 unt; 0 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 235 ( 84 ~; 55 |; 82 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 183 ( 117 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(resolution,[],[f247,f198]) ).
fof(f198,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(f247,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f237,f202]) ).
fof(f202,plain,
! [X0,X1] :
( sP21(sK12(X1,X0))
| ~ r1(X0) ),
inference(resolution,[],[f129,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(f129,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ r1(X7)
| sP21(X6) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
<=> ~ sP21(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f237,plain,
! [X0] : ~ sP21(X0),
inference(resolution,[],[f228,f204]) ).
fof(f204,plain,
! [X0,X1] :
( sP22(sK12(X1,X0))
| ~ sP21(X0) ),
inference(resolution,[],[f131,f93]) ).
fof(f131,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| ~ sP21(X6)
| sP22(X5) ),
inference(cnf_transformation,[],[f131_D]) ).
fof(f131_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ sP21(X6) )
<=> ~ sP22(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f228,plain,
! [X0] : ~ sP22(X0),
inference(resolution,[],[f222,f206]) ).
fof(f206,plain,
! [X0,X1] :
( sP23(sK12(X1,X0))
| ~ sP22(X0) ),
inference(resolution,[],[f133,f93]) ).
fof(f133,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| ~ sP22(X5)
| sP23(X4) ),
inference(cnf_transformation,[],[f133_D]) ).
fof(f133_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP22(X5) )
<=> ~ sP23(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f222,plain,
! [X0] : ~ sP23(X0),
inference(resolution,[],[f219,f208]) ).
fof(f208,plain,
! [X0,X1] :
( sP24(sK12(X1,X0))
| ~ sP23(X0) ),
inference(resolution,[],[f135,f93]) ).
fof(f135,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP23(X4)
| sP24(X3) ),
inference(cnf_transformation,[],[f135_D]) ).
fof(f135_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ sP23(X4) )
<=> ~ sP24(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f219,plain,
! [X0] : ~ sP24(X0),
inference(resolution,[],[f216,f193]) ).
fof(f193,plain,
! [X0] : sP20(X0),
inference(resolution,[],[f127,f69]) ).
fof(f127,plain,
! [X2,X0] :
( ~ id(X2,X0)
| sP20(X2) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X2] :
( ! [X0] : ~ id(X2,X0)
<=> ~ sP20(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f216,plain,
! [X0,X1] :
( ~ sP20(sK14(X0,X1))
| ~ sP24(X1) ),
inference(resolution,[],[f136,f101]) ).
fof(f101,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1))
& id(sK15(X0,X1),sK13(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f32,f60,f59,f58,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
=> ( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
& id(sK15(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f136,plain,
! [X2,X3,X1] :
( ~ r3(X1,X3,X2)
| ~ sP20(X2)
| ~ sP24(X3) ),
inference(general_splitting,[],[f134,f135_D]) ).
fof(f134,plain,
! [X2,X3,X1,X4] :
( ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ sP20(X2)
| ~ sP23(X4) ),
inference(general_splitting,[],[f132,f133_D]) ).
fof(f132,plain,
! [X2,X3,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ sP20(X2)
| ~ sP22(X5) ),
inference(general_splitting,[],[f130,f131_D]) ).
fof(f130,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ sP20(X2)
| ~ sP21(X6) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f128,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ sP20(X2) ),
inference(general_splitting,[],[f68,f127_D]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ id(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ r3(X1,X3,X2) )
| ~ id(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X1,X3,X2) )
& id(X2,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4id) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37 % Computer : n012.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat May 18 15:09:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % (23786)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39 % (23787)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.39 % (23789)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)
% 0.13/0.39 % (23792)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.39 % (23791)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.39 % (23793)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)
% 0.13/0.39 % (23790)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 TRYING [2]
% 0.13/0.40 % (23788)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.40 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.40 % (23789)First to succeed.
% 0.13/0.40 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.40 % (23789)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23786"
% 0.13/0.40 TRYING [3]
% 0.13/0.40 % (23789)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (23789)------------------------------
% 0.13/0.40 % (23789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (23789)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (23789)Memory used [KB]: 943
% 0.13/0.40 % (23789)Time elapsed: 0.008 s
% 0.13/0.40 % (23789)Instructions burned: 10 (million)
% 0.13/0.40 % (23786)Success in time 0.025 s
%------------------------------------------------------------------------------