TSTP Solution File: NUN073+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 12:52:35 EDT 2023
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 20 unt; 0 def)
% Number of atoms : 150 ( 47 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 167 ( 65 ~; 45 |; 50 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 87 (; 60 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(resolution,[],[f161,f120]) ).
fof(f120,plain,
! [X0] : ~ r2(X0,sK24),
inference(forward_demodulation,[],[f117,f116]) ).
fof(f116,plain,
sK4 = sK24,
inference(resolution,[],[f60,f103]) ).
fof(f103,plain,
! [X1] :
( sK24 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1] :
( ( sK24 = X1
& r1(X1) )
| ( sK24 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f1,f58]) ).
fof(f58,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK24 = X1
& r1(X1) )
| ( sK24 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264',axiom_1) ).
fof(f60,plain,
r1(sK4),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( r2(sK1,sK0)
& r2(sK2,sK1)
& r1(sK2)
& sK0 = sK3
& r2(sK4,sK3)
& r1(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f25,f30,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( X0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( ? [X1] :
( r2(X1,sK0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( sK0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X1] :
( r2(X1,sK0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
=> ( r2(sK1,sK0)
& ? [X2] :
( r2(X2,sK1)
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X2] :
( r2(X2,sK1)
& r1(X2) )
=> ( r2(sK2,sK1)
& r1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X3] :
( sK0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( sK0 = sK3
& ? [X4] :
( r2(X4,sK3)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X4] :
( r2(X4,sK3)
& r1(X4) )
=> ( r2(sK4,sK3)
& r1(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( X0 = X3
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) )
| ! [X3] :
( X0 != X3
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X22] :
( ~ r2(X22,X38)
| ! [X16] :
( ~ r2(X16,X22)
| ~ r1(X16) ) )
| ! [X21] :
( X21 != X38
| ! [X15] :
( ~ r2(X15,X21)
| ~ r1(X15) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X22] :
( ~ r2(X22,X38)
| ! [X16] :
( ~ r2(X16,X22)
| ~ r1(X16) ) )
| ! [X21] :
( X21 != X38
| ! [X15] :
( ~ r2(X15,X21)
| ~ r1(X15) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264',oneuneqtwo) ).
fof(f117,plain,
! [X0] : ~ r2(X0,sK4),
inference(resolution,[],[f60,f107]) ).
fof(f107,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264',axiom_7a) ).
fof(f161,plain,
r2(sK24,sK24),
inference(backward_demodulation,[],[f119,f158]) ).
fof(f158,plain,
sK0 = sK24,
inference(resolution,[],[f130,f145]) ).
fof(f145,plain,
r2(sK0,sK0),
inference(backward_demodulation,[],[f65,f140]) ).
fof(f140,plain,
sK0 = sK1,
inference(forward_demodulation,[],[f138,f133]) ).
fof(f133,plain,
sK0 = sK13(sK24),
inference(resolution,[],[f119,f79]) ).
fof(f79,plain,
! [X2,X0] :
( sK13(X0) = X2
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| ( sK13(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f18,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK13(X0) = X2
& r2(X0,X2) )
| ( sK13(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264',axiom_2) ).
fof(f138,plain,
sK1 = sK13(sK24),
inference(resolution,[],[f124,f79]) ).
fof(f124,plain,
r2(sK24,sK1),
inference(backward_demodulation,[],[f64,f121]) ).
fof(f121,plain,
sK2 = sK24,
inference(resolution,[],[f63,f103]) ).
fof(f63,plain,
r1(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f64,plain,
r2(sK2,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
r2(sK1,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f130,plain,
! [X0] :
( ~ r2(X0,sK0)
| sK24 = X0 ),
inference(resolution,[],[f119,f108]) ).
fof(f108,plain,
! [X3,X0,X1] :
( X0 = X1
| ~ r2(X1,X3)
| ~ r2(X0,X3) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X0,X3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X0,X3) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X25,X26] :
( X25 = X26
| ! [X27] :
( ~ r2(X26,X27)
| ! [X28] :
( X27 != X28
| ~ r2(X25,X28) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264',axiom_3a) ).
fof(f119,plain,
r2(sK24,sK0),
inference(backward_demodulation,[],[f115,f116]) ).
fof(f115,plain,
r2(sK4,sK0),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f62,plain,
sK0 = sK3,
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
r2(sK4,sK3),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:46:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.b4X87j061Q/Vampire---4.8_28264
% 0.13/0.35 % (28372)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (28374)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.20/0.41 % (28377)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.20/0.41 % (28376)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.20/0.41 % (28373)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.20/0.41 % (28378)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.20/0.41 % (28379)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.20/0.41 % (28375)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.20/0.42 % (28376)First to succeed.
% 0.20/0.42 % (28377)Also succeeded, but the first one will report.
% 0.20/0.42 % (28378)Also succeeded, but the first one will report.
% 0.20/0.42 % (28376)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for Vampire---4
% 0.20/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42 % (28376)------------------------------
% 0.20/0.42 % (28376)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42 % (28376)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42 % (28376)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (28376)Memory used [KB]: 9978
% 0.20/0.42 % (28376)Time elapsed: 0.007 s
% 0.20/0.42 % (28376)------------------------------
% 0.20/0.42 % (28376)------------------------------
% 0.20/0.42 % (28372)Success in time 0.065 s
% 0.20/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------