TSTP Solution File: SWV602-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV602-1 : TPTP v8.1.2. 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 : n019.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 : Wed May  1 04:12:00 EDT 2024

% Result   : Unsatisfiable 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1194,plain,
    $false,
    inference(subsumption_resolution,[],[f1193,f679]) ).

fof(f679,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_real__zero__not__eq__one_0) ).

fof(f1193,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(forward_demodulation,[],[f1192,f534]) ).

fof(f534,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_real__two__squares__add__zero__iff_2) ).

fof(f1192,plain,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(forward_demodulation,[],[f1140,f1124]) ).

fof(f1124,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),
    inference(forward_demodulation,[],[f1068,f901]) ).

fof(f901,axiom,
    ! [X8,X7] : c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_real__mult__commute_0) ).

fof(f1068,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),
    inference(definition_unfolding,[],[f915,f808]) ).

fof(f808,axiom,
    ! [X5] : c_Transcendental_Ocos(X5) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_cos__sin__eq_0) ).

fof(f915,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_conjecture_0) ).

fof(f1140,plain,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(superposition,[],[f1101,f1125]) ).

fof(f1125,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),
    inference(forward_demodulation,[],[f916,f901]) ).

fof(f916,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_conjecture_1) ).

fof(f1101,plain,
    ! [X5] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(definition_unfolding,[],[f184,f808,f808]) ).

fof(f184,axiom,
    ! [X5] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X5),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X5),c_Transcendental_Osin(X5),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603',cls_sin__cos__squared__add3_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV602-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.15  % 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
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:39:14 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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/tmp/tmp.aL3uk2YYzN/Vampire---4.8_24603
% 0.60/0.78  % (24864)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 Vampire---4 for (2995ds/83Mi)
% 0.60/0.78  % (24858)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.78  % (24860)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (24859)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 Vampire---4 for (2995ds/51Mi)
% 0.60/0.78  % (24861)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (24863)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (24865)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.79  % (24865)Refutation not found, incomplete strategy% (24865)------------------------------
% 0.60/0.79  % (24865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (24865)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (24865)Memory used [KB]: 1772
% 0.60/0.79  % (24865)Time elapsed: 0.010 s
% 0.60/0.79  % (24865)Instructions burned: 17 (million)
% 0.60/0.79  % (24865)------------------------------
% 0.60/0.79  % (24865)------------------------------
% 0.60/0.79  % (24862)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.79  % (24858)Instruction limit reached!
% 0.60/0.79  % (24858)------------------------------
% 0.60/0.79  % (24858)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (24858)Termination reason: Unknown
% 0.60/0.79  % (24858)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (24858)Memory used [KB]: 1861
% 0.60/0.79  % (24858)Time elapsed: 0.016 s
% 0.60/0.79  % (24858)Instructions burned: 34 (million)
% 0.60/0.79  % (24858)------------------------------
% 0.60/0.79  % (24858)------------------------------
% 0.60/0.79  % (24866)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.80  % (24861)Instruction limit reached!
% 0.60/0.80  % (24861)------------------------------
% 0.60/0.80  % (24861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (24861)Termination reason: Unknown
% 0.60/0.80  % (24861)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (24861)Memory used [KB]: 2142
% 0.60/0.80  % (24861)Time elapsed: 0.020 s
% 0.60/0.80  % (24861)Instructions burned: 34 (million)
% 0.60/0.80  % (24861)------------------------------
% 0.60/0.80  % (24861)------------------------------
% 0.60/0.80  % (24867)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.80  % (24864)First to succeed.
% 0.60/0.80  % (24864)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (24864)------------------------------
% 0.60/0.80  % (24864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (24864)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (24864)Memory used [KB]: 2276
% 0.60/0.80  % (24864)Time elapsed: 0.021 s
% 0.60/0.80  % (24864)Instructions burned: 73 (million)
% 0.60/0.80  % (24864)------------------------------
% 0.60/0.80  % (24864)------------------------------
% 0.60/0.80  % (24854)Success in time 0.418 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------