TSTP Solution File: SYN075+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n018.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 20:01:12 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 5 unt; 0 def)
% Number of atoms : 176 ( 100 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 211 ( 80 ~; 86 |; 30 &)
% ( 10 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 90 ( 61 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f109,f120]) ).
fof(f120,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl5_3 ),
inference(subsumption_resolution,[],[f117,f25]) ).
fof(f25,plain,
big_f(sK3,sK4),
inference(equality_resolution,[],[f24]) ).
fof(f24,plain,
! [X2] :
( big_f(X2,sK4)
| sK3 != X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f22,plain,
! [X2,X3] :
( big_f(X2,X3)
| sK4 != X3
| sK3 != X2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X3] :
( ( big_f(X2,X3)
| sK4 != X3
| sK3 != X2 )
& ( ( sK4 = X3
& sK3 = X2 )
| ~ big_f(X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f13,f14]) ).
fof(f14,plain,
( ? [X0,X1] :
! [X2,X3] :
( ( big_f(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| ~ big_f(X2,X3) ) )
=> ! [X3,X2] :
( ( big_f(X2,X3)
| sK4 != X3
| sK3 != X2 )
& ( ( sK4 = X3
& sK3 = X2 )
| ~ big_f(X2,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
! [X2,X3] :
( ( big_f(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| ~ big_f(X2,X3) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0,X1] :
! [X2,X3] :
( ( big_f(X2,X3)
| X1 != X3
| X0 != X2 )
& ( ( X1 = X3
& X0 = X2 )
| ~ big_f(X2,X3) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0,X1] :
! [X2,X3] :
( big_f(X2,X3)
<=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f117,plain,
( ~ big_f(sK3,sK4)
| spl5_3 ),
inference(superposition,[],[f80,f36]) ).
fof(f36,plain,
sK4 = sK0(sK4),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sK4 != X0
| sK0(X0) = X0 ),
inference(equality_factoring,[],[f27]) ).
fof(f27,plain,
! [X0] :
( sK0(X0) = sK4
| sK0(X0) = X0 ),
inference(resolution,[],[f23,f21]) ).
fof(f21,plain,
! [X2,X3] :
( ~ big_f(X2,X3)
| sK4 = X3 ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0] :
( big_f(sK2(X0),sK0(X0))
| sK0(X0) = X0 ),
inference(equality_resolution,[],[f17]) ).
fof(f17,plain,
! [X0,X5] :
( sK0(X0) = X0
| big_f(X5,sK0(X0))
| sK2(X0) != X5 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ( sK0(X0) != X0
| ! [X2] :
( ( sK1(X0,X2) != X2
| ~ big_f(sK1(X0,X2),sK0(X0)) )
& ( sK1(X0,X2) = X2
| big_f(sK1(X0,X2),sK0(X0)) ) ) )
& ( sK0(X0) = X0
| ! [X5] :
( ( big_f(X5,sK0(X0))
| sK2(X0) != X5 )
& ( sK2(X0) = X5
| ~ big_f(X5,sK0(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X3,X1) )
& ( X2 = X3
| big_f(X3,X1) ) ) )
& ( X0 = X1
| ? [X4] :
! [X5] :
( ( big_f(X5,X1)
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X5,X1) ) ) ) )
=> ( ( sK0(X0) != X0
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X3,sK0(X0)) )
& ( X2 = X3
| big_f(X3,sK0(X0)) ) ) )
& ( sK0(X0) = X0
| ? [X4] :
! [X5] :
( ( big_f(X5,sK0(X0))
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X5,sK0(X0)) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0,X2] :
( ? [X3] :
( ( X2 != X3
| ~ big_f(X3,sK0(X0)) )
& ( X2 = X3
| big_f(X3,sK0(X0)) ) )
=> ( ( sK1(X0,X2) != X2
| ~ big_f(sK1(X0,X2),sK0(X0)) )
& ( sK1(X0,X2) = X2
| big_f(sK1(X0,X2),sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0] :
( ? [X4] :
! [X5] :
( ( big_f(X5,sK0(X0))
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X5,sK0(X0)) ) )
=> ! [X5] :
( ( big_f(X5,sK0(X0))
| sK2(X0) != X5 )
& ( sK2(X0) = X5
| ~ big_f(X5,sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
! [X0] :
? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X3,X1) )
& ( X2 = X3
| big_f(X3,X1) ) ) )
& ( X0 = X1
| ? [X4] :
! [X5] :
( ( big_f(X5,X1)
| X4 != X5 )
& ( X4 = X5
| ~ big_f(X5,X1) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
! [X0] :
? [X1] :
( ( X0 != X1
| ! [X2] :
? [X3] :
( ( X2 != X3
| ~ big_f(X3,X1) )
& ( X2 = X3
| big_f(X3,X1) ) ) )
& ( X0 = X1
| ? [X2] :
! [X3] :
( ( big_f(X3,X1)
| X2 != X3 )
& ( X2 = X3
| ~ big_f(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
? [X1] :
( ? [X2] :
! [X3] :
( big_f(X3,X1)
<=> X2 = X3 )
<~> X0 = X1 ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0] :
! [X1] :
( ? [X2] :
! [X3] :
( big_f(X3,X1)
<=> X2 = X3 )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ? [X1] :
! [X3] :
( ? [X0] :
! [X2] :
( big_f(X2,X3)
<=> X0 = X2 )
<=> X1 = X3 ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
? [X1] :
! [X3] :
( ? [X0] :
! [X2] :
( big_f(X2,X3)
<=> X0 = X2 )
<=> X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f80,plain,
( ~ big_f(sK3,sK0(sK4))
| spl5_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl5_3
<=> big_f(sK3,sK0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f109,plain,
( ~ spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f108,f82,f78]) ).
fof(f82,plain,
( spl5_4
<=> ! [X0] :
( sK3 != X0
| sK1(sK4,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f108,plain,
( ~ big_f(sK3,sK0(sK4))
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f107,f36]) ).
fof(f107,plain,
( sK4 != sK0(sK4)
| ~ big_f(sK3,sK0(sK4))
| ~ spl5_4 ),
inference(trivial_inequality_removal,[],[f106]) ).
fof(f106,plain,
( sK3 != sK3
| sK4 != sK0(sK4)
| ~ big_f(sK3,sK0(sK4))
| ~ spl5_4 ),
inference(superposition,[],[f19,f91]) ).
fof(f91,plain,
( sK3 = sK1(sK4,sK3)
| ~ spl5_4 ),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
( ! [X0] :
( sK3 != X0
| sK1(sK4,X0) = X0 )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f19,plain,
! [X2,X0] :
( sK1(X0,X2) != X2
| sK0(X0) != X0
| ~ big_f(sK1(X0,X2),sK0(X0)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f85,plain,
spl5_4,
inference(avatar_split_clause,[],[f75,f82]) ).
fof(f75,plain,
! [X0] :
( sK3 != X0
| sK1(sK4,X0) = X0 ),
inference(equality_factoring,[],[f48]) ).
fof(f48,plain,
! [X0] :
( sK3 = sK1(sK4,X0)
| sK1(sK4,X0) = X0 ),
inference(resolution,[],[f43,f20]) ).
fof(f20,plain,
! [X2,X3] :
( ~ big_f(X2,X3)
| sK3 = X2 ),
inference(cnf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0] :
( big_f(sK1(sK4,X0),sK4)
| sK1(sK4,X0) = X0 ),
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
! [X0] :
( sK4 != sK4
| sK1(sK4,X0) = X0
| big_f(sK1(sK4,X0),sK4) ),
inference(superposition,[],[f18,f36]) ).
fof(f18,plain,
! [X2,X0] :
( sK0(X0) != X0
| sK1(X0,X2) = X2
| big_f(sK1(X0,X2),sK0(X0)) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN075+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 23:17:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4417)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4411)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4414)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4412)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4416)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4415)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42 % (4417)First to succeed.
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4413)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.21/0.42 % (4415)Refutation not found, incomplete strategy% (4415)------------------------------
% 0.21/0.42 % (4415)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (4415)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (4415)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (4415)Memory used [KB]: 1052
% 0.21/0.42 % (4415)Time elapsed: 0.003 s
% 0.21/0.42 % (4415)Instructions burned: 2 (million)
% 0.21/0.42 % (4417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4410"
% 0.21/0.42 % (4415)------------------------------
% 0.21/0.42 % (4415)------------------------------
% 0.21/0.42 % (4410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (4417)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (4417)------------------------------
% 0.21/0.42 % (4417)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (4417)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (4417)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (4417)Memory used [KB]: 1163
% 0.21/0.42 % (4417)Time elapsed: 0.006 s
% 0.21/0.42 % (4417)Instructions burned: 5 (million)
% 0.21/0.42 % (4417)------------------------------
% 0.21/0.42 % (4417)------------------------------
% 0.21/0.42 % (4410)Success in time 0.063 s
%------------------------------------------------------------------------------