TSTP Solution File: NUN062+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 08:44:23 EDT 2024
% Result : Theorem 0.65s 0.84s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 185 ( 68 ~; 47 |; 62 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 137 ( 97 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(resolution,[],[f236,f150]) ).
fof(f150,plain,
! [X0] : id(sK21(X0),X0),
inference(resolution,[],[f147,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_6) ).
fof(f147,plain,
! [X0] : id(X0,sK21(X0)),
inference(resolution,[],[f142,f87]) ).
fof(f87,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_5) ).
fof(f142,plain,
! [X0,X1] :
( ~ id(sK5(sK20,X0),X1)
| id(X0,sK21(X0)) ),
inference(resolution,[],[f110,f129]) ).
fof(f129,plain,
! [X2,X3,X1] :
( ~ r3(sK20,X2,X3)
| ~ id(X3,X1)
| id(X2,sK21(X2)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X2] :
( ! [X3] :
( ~ r3(sK20,X2,X3)
| ~ id(X3,X1) )
| ( r1(sK21(X2))
& id(X2,sK21(X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f39,f69,f68]) ).
fof(f68,plain,
( ? [X0] :
! [X1,X2] :
( ! [X3] :
( ~ r3(X0,X2,X3)
| ~ id(X3,X1) )
| ? [X4] :
( r1(X4)
& id(X2,X4) ) )
=> ! [X2,X1] :
( ! [X3] :
( ~ r3(sK20,X2,X3)
| ~ id(X3,X1) )
| ? [X4] :
( r1(X4)
& id(X2,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X2] :
( ? [X4] :
( r1(X4)
& id(X2,X4) )
=> ( r1(sK21(X2))
& id(X2,sK21(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
! [X1,X2] :
( ! [X3] :
( ~ r3(X0,X2,X3)
| ~ id(X3,X1) )
| ? [X4] :
( r1(X4)
& id(X2,X4) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0] :
? [X1,X2] :
( ? [X3] :
( r3(X0,X2,X3)
& id(X3,X1) )
& ! [X4] :
( ~ r1(X4)
| ~ id(X2,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X37] :
? [X45,X62] :
( ? [X46] :
( r3(X37,X62,X46)
& id(X46,X45) )
& ! [X39] :
( ~ r1(X39)
| ~ id(X62,X39) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X37] :
? [X45,X62] :
( ? [X46] :
( r3(X37,X62,X46)
& id(X46,X45) )
& ! [X39] :
( ~ r1(X39)
| ~ id(X62,X39) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',infiniteNumbersid) ).
fof(f110,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1))
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1))
& id(sK6(X0,X1),sK4(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f31,f51,f50,f49,f48]) ).
fof(f48,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,sK4(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK4(X0,X1)) )
=> ( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
& id(sK6(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,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/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_1a) ).
fof(f236,plain,
! [X0] : ~ id(X0,sK0),
inference(resolution,[],[f224,f177]) ).
fof(f177,plain,
! [X0] : r2(X0,sK0),
inference(resolution,[],[f176,f162]) ).
fof(f162,plain,
! [X0] :
( ~ r1(sK1(X0))
| r2(X0,sK0) ),
inference(resolution,[],[f78,f136]) ).
fof(f136,plain,
! [X0] :
( id(sK0,X0)
| ~ r1(X0) ),
inference(resolution,[],[f88,f71]) ).
fof(f71,plain,
! [X1] :
( id(X1,sK0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f40]) ).
fof(f40,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_1) ).
fof(f78,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X2] :
( ( ~ id(X2,sK1(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK1(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK1(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_2) ).
fof(f176,plain,
! [X0] : r1(X0),
inference(resolution,[],[f174,f144]) ).
fof(f144,plain,
! [X0] : r1(sK21(X0)),
inference(resolution,[],[f143,f87]) ).
fof(f143,plain,
! [X0,X1] :
( ~ id(sK5(sK20,X0),X1)
| r1(sK21(X0)) ),
inference(resolution,[],[f110,f130]) ).
fof(f130,plain,
! [X2,X3,X1] :
( ~ r3(sK20,X2,X3)
| ~ id(X3,X1)
| r1(sK21(X2)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f174,plain,
! [X0] :
( ~ r1(sK21(X0))
| r1(X0) ),
inference(resolution,[],[f91,f147]) ).
fof(f91,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,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/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_8) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X2,X1) ),
inference(resolution,[],[f128,f176]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| ~ r2(X0,X1)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN062+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n008.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 : Fri May 3 18:52:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.HPyJ2drKXO/Vampire---4.8_2946
% 0.65/0.83 % (3360)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.83 % (3353)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.83 % (3355)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.83 % (3354)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.83 % (3356)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.83 % (3357)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.83 % (3358)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.83 % (3359)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.83 % (3358)Refutation not found, incomplete strategy% (3358)------------------------------
% 0.65/0.83 % (3358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (3358)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (3358)Memory used [KB]: 1091
% 0.65/0.83 % (3358)Time elapsed: 0.004 s
% 0.65/0.83 % (3358)Instructions burned: 5 (million)
% 0.65/0.84 % (3354)First to succeed.
% 0.65/0.84 % (3358)------------------------------
% 0.65/0.84 % (3358)------------------------------
% 0.65/0.84 % (3360)Also succeeded, but the first one will report.
% 0.65/0.84 % (3354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3162"
% 0.65/0.84 % (3356)Also succeeded, but the first one will report.
% 0.65/0.84 % (3354)Refutation found. Thanks to Tanya!
% 0.65/0.84 % SZS status Theorem for Vampire---4
% 0.65/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.84 % (3354)------------------------------
% 0.65/0.84 % (3354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.84 % (3354)Termination reason: Refutation
% 0.65/0.84
% 0.65/0.84 % (3354)Memory used [KB]: 1094
% 0.65/0.84 % (3354)Time elapsed: 0.006 s
% 0.65/0.84 % (3354)Instructions burned: 7 (million)
% 0.65/0.84 % (3162)Success in time 0.457 s
% 0.65/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------