TSTP Solution File: SWW349+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW349+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n013.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 18:32:08 EDT 2024
% Result : Theorem 0.72s 0.95s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 86 ( 48 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 32 ~; 31 |; 7 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 47 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5374,plain,
$false,
inference(subsumption_resolution,[],[f5373,f5262]) ).
fof(f5262,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f5226]) ).
fof(f5226,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5373,plain,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(subsumption_resolution,[],[f5366,f5355]) ).
fof(f5355,plain,
! [X0] : v_s_H = X0,
inference(subsumption_resolution,[],[f5349,f5261]) ).
fof(f5261,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(cnf_transformation,[],[f5230]) ).
fof(f5230,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(flattening,[],[f5229]) ).
fof(f5229,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(negated_conjecture,[],[f5228]) ).
fof(f5228,conjecture,
hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5349,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))
| v_s_H = X0 ),
inference(duplicate_literal_removal,[],[f5346]) ).
fof(f5346,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H))
| v_s_H = X0
| v_s_H = X0 ),
inference(superposition,[],[f5263,f5336]) ).
fof(f5336,plain,
! [X0] :
( v_s_H = sK0(X0)
| v_s_H = X0 ),
inference(equality_resolution,[],[f5326]) ).
fof(f5326,plain,
! [X0,X1] :
( sK0(X1) != X0
| v_s_H = X0
| v_s_H = X1 ),
inference(duplicate_literal_removal,[],[f5321]) ).
fof(f5321,plain,
! [X0,X1] :
( sK0(X1) != X0
| v_s_H = X0
| v_s_H = X0
| v_s_H = X1 ),
inference(superposition,[],[f5264,f5301]) ).
fof(f5301,plain,
! [X0,X1] :
( sK0(X0) = sK0(X1)
| v_s_H = X0
| v_s_H = X1 ),
inference(resolution,[],[f5288,f5263]) ).
fof(f5288,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))
| v_s_H = X0
| sK0(X0) = X1 ),
inference(resolution,[],[f5263,f5266]) ).
fof(f5266,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f5241]) ).
fof(f5241,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) ),
inference(flattening,[],[f5240]) ).
fof(f5240,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) ),
inference(ennf_transformation,[],[f5233]) ).
fof(f5233,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
=> X0 = X1 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X6),X5),X4))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X6),X5),X3))
=> X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5264,plain,
! [X0] :
( sK0(X0) != X0
| v_s_H = X0 ),
inference(cnf_transformation,[],[f5246]) ).
fof(f5246,plain,
! [X0] :
( v_s_H = X0
| ( sK0(X0) != X0
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK0(X0))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5238,f5245]) ).
fof(f5245,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1)) )
=> ( sK0(X0) != X0
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f5238,plain,
! [X0] :
( v_s_H = X0
| ? [X1] :
( X0 != X1
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1)) ) ),
inference(ennf_transformation,[],[f5231]) ).
fof(f5231,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))
=> X0 = X1 )
=> v_s_H = X0 ),
inference(rectify,[],[f5227]) ).
fof(f5227,axiom,
! [X332] :
( ! [X29] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X29))
=> X29 = X332 )
=> v_s_H = X332 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5263,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),sK0(X0)))
| v_s_H = X0 ),
inference(cnf_transformation,[],[f5246]) ).
fof(f5366,plain,
( v_s_H != sK4
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(backward_demodulation,[],[f5270,f5355]) ).
fof(f5270,plain,
( sK3 != sK4
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf_transformation,[],[f5256]) ).
fof(f5256,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( sK3 != sK4
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f5254,f5255]) ).
fof(f5255,plain,
( ? [X2,X3] : X2 != X3
=> sK3 != sK4 ),
introduced(choice_axiom,[]) ).
fof(f5254,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( ? [X2,X3] : X2 != X3
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(rectify,[],[f5253]) ).
fof(f5253,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( ? [X0,X1] : X0 != X1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(nnf_transformation,[],[f5236]) ).
fof(f5236,plain,
( c_Hoare__Mirabelle_Ostate__not__singleton
<=> ? [X0,X1] : X0 != X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
<=> ? [X7,X8] : X7 != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW349+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 04:15:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11160)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11159)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11161)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11156)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11155)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11158)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.72/0.93 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.93 % (11157)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.72/0.95 % (11159)First to succeed.
% 0.72/0.95 % (11159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11154"
% 0.72/0.95 % (11154)Running in auto input_syntax mode. Trying TPTP
% 0.72/0.95 % (11159)Refutation found. Thanks to Tanya!
% 0.72/0.95 % SZS status Theorem for theBenchmark
% 0.72/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.95 % (11159)------------------------------
% 0.72/0.95 % (11159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.72/0.95 % (11159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.72/0.95 % (11159)Termination reason: Refutation
% 0.72/0.95
% 0.72/0.95 % (11159)Memory used [KB]: 6044
% 0.72/0.95 % (11159)Time elapsed: 0.026 s
% 0.72/0.95 % (11159)Instructions burned: 43 (million)
% 0.72/0.95 % (11159)------------------------------
% 0.72/0.95 % (11159)------------------------------
% 0.72/0.95 % (11154)Success in time 0.103 s
%------------------------------------------------------------------------------