TSTP Solution File: NUN066+2 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUN066+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n009.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 : Mon Jun 24 13:33:30 EDT 2024
% Result : Theorem 0.24s 0.46s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 121 ( 40 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 60 ~; 56 |; 13 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 87 ( 77 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350,plain,
$false,
inference(avatar_sat_refutation,[],[f325,f348]) ).
fof(f348,plain,
~ spl24_5,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl24_5 ),
inference(resolution,[],[f175,f73]) ).
fof(f73,plain,
r1(sK23),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X1] :
( sK23 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f175,plain,
( ! [X0] : ~ r1(X0)
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl24_5
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f325,plain,
spl24_5,
inference(avatar_split_clause,[],[f319,f174]) ).
fof(f319,plain,
! [X0] : ~ r1(X0),
inference(backward_demodulation,[],[f128,f316]) ).
fof(f316,plain,
! [X0] : sK2(sK12(X0)) = X0,
inference(resolution,[],[f232,f186]) ).
fof(f186,plain,
! [X0] : r2(sK2(sK12(X0)),sK12(X0)),
inference(subsumption_resolution,[],[f185,f91]) ).
fof(f91,plain,
! [X0] : ~ r1(sK12(X0)),
inference(resolution,[],[f69,f68]) ).
fof(f68,plain,
! [X0] : r2(X0,sK12(X0)),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X2,X0] :
( sK12(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f69,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f185,plain,
! [X0] :
( r2(sK2(sK12(X0)),sK12(X0))
| r1(sK12(X0)) ),
inference(forward_subsumption_demodulation,[],[f184,f75]) ).
fof(f75,plain,
! [X0] :
( r2(sK2(X0),X0)
| sK1(X0) = X0 ),
inference(forward_subsumption_demodulation,[],[f30,f33]) ).
fof(f33,plain,
! [X0] :
( sK1(X0) = X0
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
| ? [X2] :
( X0 = X2
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
& ! [X2] :
( X0 != X2
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ! [X15] :
( ~ r2(X15,X22)
| ~ r1(X15) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ! [X16] :
( X16 != X38
| ~ r1(X16) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ! [X15] :
( ~ r2(X15,X22)
| ~ r1(X15) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f30,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f184,plain,
! [X0] :
( r2(sK2(sK12(X0)),sK12(X0))
| r1(sK1(sK12(X0))) ),
inference(superposition,[],[f31,f96]) ).
fof(f96,plain,
! [X0] : sK12(X0) = sK0(sK12(X0)),
inference(resolution,[],[f74,f91]) ).
fof(f74,plain,
! [X0] :
( r1(X0)
| sK0(X0) = X0 ),
inference(forward_subsumption_demodulation,[],[f32,f33]) ).
fof(f32,plain,
! [X0] :
( sK0(X0) = X0
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f31,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f232,plain,
! [X0,X1] :
( ~ r2(X0,sK12(X1))
| X0 = X1 ),
inference(resolution,[],[f70,f68]) ).
fof(f70,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| ~ r2(X0,X3)
| X0 = X1 ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| X2 != X3
| ~ r2(X1,X2)
| X0 = X1 ),
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f128,plain,
! [X0] : ~ r1(sK2(sK12(X0))),
inference(resolution,[],[f111,f69]) ).
fof(f111,plain,
! [X0] : r2(sK23,sK2(sK12(X0))),
inference(subsumption_resolution,[],[f108,f91]) ).
fof(f108,plain,
! [X0] :
( r2(sK23,sK2(sK12(X0)))
| r1(sK12(X0)) ),
inference(superposition,[],[f76,f101]) ).
fof(f101,plain,
! [X0] : sK23 = sK3(sK12(X0)),
inference(resolution,[],[f80,f91]) ).
fof(f80,plain,
! [X0] :
( r1(X0)
| sK3(X0) = sK23 ),
inference(resolution,[],[f64,f77]) ).
fof(f77,plain,
! [X0] :
( r1(sK3(X0))
| r1(X0) ),
inference(forward_subsumption_demodulation,[],[f26,f28]) ).
fof(f28,plain,
! [X0] :
( r1(sK3(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f26,plain,
! [X0] :
( r1(sK3(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
! [X1] :
( ~ r1(X1)
| sK23 = X1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| r1(X0) ),
inference(forward_subsumption_demodulation,[],[f27,f29]) ).
fof(f29,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f27,plain,
! [X0] :
( r2(sK3(X0),sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUN066+2 : TPTP v8.2.0. Released v7.3.0.
% 0.04/0.14 % Command : run_vampire %s %d SAT
% 0.14/0.37 % Computer : n009.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Jun 18 21:26:09 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27460)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27455)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27459)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27458)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27457)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27456)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.24/0.45 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (27461)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.24/0.45 TRYING [1]
% 0.24/0.45 TRYING [2]
% 0.24/0.46 TRYING [3]
% 0.24/0.46 TRYING [10]
% 0.24/0.46 TRYING [4]
% 0.24/0.46 % (27459)First to succeed.
% 0.24/0.46 % (27459)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27454"
% 0.24/0.46 % (27454)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.46 % (27459)Refutation found. Thanks to Tanya!
% 0.24/0.46 % SZS status Theorem for theBenchmark
% 0.24/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.47 % (27459)------------------------------
% 0.24/0.47 % (27459)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.47 % (27459)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.47 % (27459)Termination reason: Refutation
% 0.24/0.47
% 0.24/0.47 % (27459)Memory used [KB]: 874
% 0.24/0.47 % (27459)Time elapsed: 0.013 s
% 0.24/0.47 % (27459)Instructions burned: 16 (million)
% 0.24/0.47 % (27459)------------------------------
% 0.24/0.47 % (27459)------------------------------
% 0.24/0.47 % (27454)Success in time 0.072 s
%------------------------------------------------------------------------------