TSTP Solution File: SWW348+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW348+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 11:37:22 EDT 2024
% Result : Theorem 82.32s 12.51s
% Output : Refutation 82.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 82 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 77 ( 27 ~; 25 |; 10 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201632,plain,
$false,
inference(resolution,[],[f157432,f157419]) ).
fof(f157419,plain,
hBOOL(sK89),
inference(superposition,[],[f17079,f157319]) ).
fof(f157319,plain,
! [X0] : sK89 = X0,
inference(resolution,[],[f157313,f16699]) ).
fof(f16699,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK89)),
inference(cnf_transformation,[],[f14486]) ).
fof(f14486,plain,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK89))
& ! [X2] :
( sK89 = X2
| ( sK90(X2) != X2
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK90(X2))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89,sK90])],[f10306,f14485,f14484]) ).
fof(f14484,plain,
( ? [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1))
& ! [X2] :
( X1 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3)) ) ) )
=> ( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK89))
& ! [X2] :
( sK89 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),X3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14485,plain,
! [X2] :
( ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),X3)) )
=> ( sK90(X2) != X2
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK90(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f10306,plain,
? [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1))
& ! [X2] :
( X1 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3)) ) ) ),
inference(ennf_transformation,[],[f5229]) ).
fof(f5229,plain,
~ ! [X0,X1] :
( ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3))
=> X2 = X3 )
=> X1 = X2 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1)) ),
inference(rectify,[],[f5228]) ).
fof(f5228,negated_conjecture,
~ ! [X105,X106] :
( ! [X332] :
( ! [X29] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X29))
=> X29 = X332 )
=> X106 = X332 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X106)) ),
inference(negated_conjecture,[],[f5227]) ).
fof(f5227,conjecture,
! [X105,X106] :
( ! [X332] :
( ! [X29] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X29))
=> X29 = X332 )
=> X106 = X332 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X106)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f157313,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK89))
| sK89 = X0 ),
inference(duplicate_literal_removal,[],[f157310]) ).
fof(f157310,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK89))
| sK89 = X0
| sK89 = X0 ),
inference(superposition,[],[f16697,f157241]) ).
fof(f157241,plain,
! [X0] :
( sK89 = sK90(X0)
| sK89 = X0 ),
inference(equality_resolution,[],[f157233]) ).
fof(f157233,plain,
! [X0,X1] :
( sK90(X1) != X0
| sK89 = X0
| sK89 = X1 ),
inference(duplicate_literal_removal,[],[f157228]) ).
fof(f157228,plain,
! [X0,X1] :
( sK90(X1) != X0
| sK89 = X0
| sK89 = X0
| sK89 = X1 ),
inference(superposition,[],[f16698,f157154]) ).
fof(f157154,plain,
! [X0,X1] :
( sK90(X0) = sK90(X1)
| sK89 = X0
| sK89 = X1 ),
inference(resolution,[],[f156921,f16697]) ).
fof(f156921,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),X1))
| sK90(X0) = X1
| sK89 = X0 ),
inference(resolution,[],[f21845,f16697]) ).
fof(f21845,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,[],[f13103]) ).
fof(f13103,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,[],[f13102]) ).
fof(f13102,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,[],[f8827]) ).
fof(f8827,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',fact_com__det) ).
fof(f16698,plain,
! [X2] :
( sK90(X2) != X2
| sK89 = X2 ),
inference(cnf_transformation,[],[f14486]) ).
fof(f16697,plain,
! [X2] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK88),sK90(X2)))
| sK89 = X2 ),
inference(cnf_transformation,[],[f14486]) ).
fof(f17079,plain,
! [X0] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0)),
inference(cnf_transformation,[],[f5285]) ).
fof(f5285,plain,
! [X0] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X24] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X24),X24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_evalc_Oequations_I1_J) ).
fof(f157432,plain,
~ hBOOL(sK89),
inference(superposition,[],[f17066,f157319]) ).
fof(f17066,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),X0)),
inference(cnf_transformation,[],[f5272]) ).
fof(f5272,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),X0)),
inference(rectify,[],[f843]) ).
fof(f843,axiom,
! [X56] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X56),X56)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__not__refl) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWW348+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 19:39:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (6349)Running in auto input_syntax mode. Trying TPTP
% 0.59/0.77 % (6350)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.59/0.78 % (6352)WARNING: value z3 for option sas not known
% 0.59/0.78 % (6352)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.59/0.78 % (6356)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.59/0.78 % (6354)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_531 on theBenchmark for (531ds/0Mi)
% 0.59/0.78 % (6353)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.59/0.78 % (6351)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.59/0.78 % (6355)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 52.87/8.29 TRYING [1]
% 58.12/9.01 TRYING [2]
% 78.01/11.93 TRYING [1]
% 82.32/12.49 % (6355)First to succeed.
% 82.32/12.49 % (6355)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6349"
% 82.32/12.51 % (6355)Refutation found. Thanks to Tanya!
% 82.32/12.51 % SZS status Theorem for theBenchmark
% 82.32/12.51 % SZS output start Proof for theBenchmark
% See solution above
% 82.32/12.51 % (6355)------------------------------
% 82.32/12.51 % (6355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 82.32/12.51 % (6355)Termination reason: Refutation
% 82.32/12.51
% 82.32/12.51 % (6355)Memory used [KB]: 115771
% 82.32/12.51 % (6355)Time elapsed: 11.704 s
% 82.32/12.51 % (6355)Instructions burned: 20428 (million)
% 82.32/12.51 % (6349)Success in time 12.09 s
%------------------------------------------------------------------------------