TSTP Solution File: SWV677-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV677-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 : Tue May 21 06:05:14 EDT 2024
% Result : Unsatisfiable 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 3 unt; 0 def)
% Number of atoms : 112 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 49 ~; 66 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1041,plain,
$false,
inference(avatar_sat_refutation,[],[f693,f698,f707,f746,f757,f1029]) ).
fof(f1029,plain,
( spl0_1
| spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| spl0_1
| spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1027,f638]) ).
fof(f638,axiom,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1027,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1
| spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1026,f705]) ).
fof(f705,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| spl0_4 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl0_4
<=> v_a = c_HOL_Ozero__class_Ozero(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1026,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1
| spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1025,f737]) ).
fof(f737,plain,
( c_lessequals(v_m,v_n,tc_nat)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl0_8
<=> c_lessequals(v_m,v_n,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1025,plain,
( ~ c_lessequals(v_m,v_n,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1
| spl0_4 ),
inference(trivial_inequality_removal,[],[f1023]) ).
fof(f1023,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
| ~ c_lessequals(v_m,v_n,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1
| spl0_4 ),
inference(superposition,[],[f833,f568]) ).
fof(f568,axiom,
! [X0,X1,X8,X7] :
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0)
| ~ c_lessequals(X7,X8,tc_nat)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).
fof(f833,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f832,f638]) ).
fof(f832,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f827,f705]) ).
fof(f827,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_1 ),
inference(superposition,[],[f688,f346]) ).
fof(f346,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nonzero__inverse__eq__divide_0) ).
fof(f688,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl0_1
<=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f757,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f753,f690,f736]) ).
fof(f690,plain,
( spl0_2
<=> c_lessequals(v_n,v_m,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f753,plain,
( c_lessequals(v_m,v_n,tc_nat)
| spl0_2 ),
inference(resolution,[],[f691,f604]) ).
fof(f604,axiom,
! [X8,X7] :
( c_lessequals(X8,X7,tc_nat)
| c_lessequals(X7,X8,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
fof(f691,plain,
( ~ c_lessequals(v_n,v_m,tc_nat)
| spl0_2 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f746,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f744,f638]) ).
fof(f744,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
( v_a != v_a
| ~ class_Ring__and__Field_Ofield(t_a)
| ~ spl0_4 ),
inference(superposition,[],[f426,f706]) ).
fof(f706,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f426,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f707,plain,
( spl0_4
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f702,f695,f690,f704]) ).
fof(f695,plain,
( spl0_3
<=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f702,plain,
( ~ c_lessequals(v_n,v_m,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| spl0_3 ),
inference(subsumption_resolution,[],[f701,f638]) ).
fof(f701,plain,
( ~ c_lessequals(v_n,v_m,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_3 ),
inference(trivial_inequality_removal,[],[f700]) ).
fof(f700,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a)
| spl0_3 ),
inference(superposition,[],[f697,f603]) ).
fof(f603,axiom,
! [X0,X1,X8,X7] :
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X7,X8,tc_nat),X0)
| ~ c_lessequals(X8,X7,tc_nat)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff_0) ).
fof(f697,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f698,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f640,f690,f695]) ).
fof(f640,axiom,
( ~ c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f693,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f639,f690,f686]) ).
fof(f639,axiom,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV677-1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 06:15:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.74 % (11509)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.53/0.75 % (11503)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.75 % (11505)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.75 % (11504)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.53/0.75 % (11507)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.75 % (11506)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.75 % (11508)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.75 % (11510)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.59/0.76 % (11508)First to succeed.
% 0.59/0.76 % (11508)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11502"
% 0.59/0.76 % (11508)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Unsatisfiable for theBenchmark
% 0.59/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.76 % (11508)------------------------------
% 0.59/0.76 % (11508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (11508)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (11508)Memory used [KB]: 1596
% 0.59/0.76 % (11508)Time elapsed: 0.015 s
% 0.59/0.76 % (11508)Instructions burned: 22 (million)
% 0.59/0.76 % (11502)Success in time 0.394 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------