TSTP Solution File: NUN073+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN073+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 : n004.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 02:17:53 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 135 ( 53 ~; 41 |; 36 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 71 ( 49 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f622,plain,
$false,
inference(subsumption_resolution,[],[f618,f232]) ).
fof(f232,plain,
~ r1(sK1),
inference(resolution,[],[f222,f80]) ).
fof(f80,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(f222,plain,
! [X0] :
( ~ id(X0,sK1)
| ~ r1(X0) ),
inference(resolution,[],[f101,f78]) ).
fof(f78,plain,
r2(sK2,sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( r2(sK1,sK0)
& r2(sK2,sK1)
& r1(sK2)
& id(sK3,sK0)
& r2(sK4,sK3)
& r1(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f39,f44,f43,f42,f41,f40]) ).
fof(f40,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( ? [X1] :
( r2(X1,sK0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,sK0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X1] :
( r2(X1,sK0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
=> ( r2(sK1,sK0)
& ? [X2] :
( r2(X2,sK1)
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X2] :
( r2(X2,sK1)
& r1(X2) )
=> ( r2(sK2,sK1)
& r1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X3] :
( id(X3,sK0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( id(sK3,sK0)
& ? [X4] :
( r2(X4,sK3)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X4] :
( r2(X4,sK3)
& r1(X4) )
=> ( r2(sK4,sK3)
& r1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) )
| ! [X3] :
( ~ id(X3,X0)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) )
| ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r2(X39,X45)
| ~ r1(X39) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) )
| ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r2(X39,X45)
| ~ r1(X39) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f618,plain,
r1(sK1),
inference(resolution,[],[f608,f165]) ).
fof(f165,plain,
! [X0] :
( ~ id(sK4,X0)
| r1(X0) ),
inference(resolution,[],[f99,f74]) ).
fof(f74,plain,
r1(sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
! [X0,X1] :
( ~ r1(X0)
| r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f608,plain,
id(sK4,sK1),
inference(subsumption_resolution,[],[f602,f76]) ).
fof(f76,plain,
id(sK3,sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f602,plain,
( id(sK4,sK1)
| ~ id(sK3,sK0) ),
inference(resolution,[],[f277,f79]) ).
fof(f79,plain,
r2(sK1,sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f277,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(sK4,X0)
| ~ id(sK3,X1) ),
inference(resolution,[],[f102,f75]) ).
fof(f75,plain,
r2(sK4,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| ~ r2(X1,X2)
| id(X0,X1)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ~ r2(X50,X51)
| ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUN073+1 : TPTP v8.2.0. Released v7.3.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 15:02:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (5031)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5035)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (5036)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (5032)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (5037)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39 % (5033)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 % (5037)First to succeed.
% 0.15/0.40 % (5037)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5031"
% 0.15/0.40 % (5037)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (5037)------------------------------
% 0.15/0.40 % (5037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (5037)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (5037)Memory used [KB]: 982
% 0.15/0.40 % (5037)Time elapsed: 0.013 s
% 0.15/0.40 % (5037)Instructions burned: 21 (million)
% 0.15/0.40 % (5031)Success in time 0.021 s
%------------------------------------------------------------------------------