TSTP Solution File: LCL800-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 Aug 31 17:46:02 EDT 2022

% Result   : Unsatisfiable 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f396,plain,
    $false,
    inference(subsumption_resolution,[],[f395,f368]) ).

fof(f368,axiom,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f395,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    inference(forward_demodulation,[],[f394,f362]) ).

fof(f362,axiom,
    ! [X28,X25,X12] : c_Lambda_Osubst(c_Lambda_Olift(X25,X12),X28,X12) = X25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).

fof(f394,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    inference(forward_demodulation,[],[f393,f346]) ).

fof(f346,axiom,
    ! [X15,X12] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X12),X15,X12) = X15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__eq_0) ).

fof(f393,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(forward_demodulation,[],[f367,f343]) ).

fof(f343,axiom,
    ! [X28,X15,X25,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X25,X15),X28,X12) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X25,X28,X12),c_Lambda_Osubst(X15,X28,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).

fof(f367,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 02:48:40 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.18/0.47  % (27330)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.47  % (27321)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.47  % (27321)Instruction limit reached!
% 0.18/0.47  % (27321)------------------------------
% 0.18/0.47  % (27321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (27321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (27321)Termination reason: Unknown
% 0.18/0.47  % (27321)Termination phase: Unused predicate definition removal
% 0.18/0.47  
% 0.18/0.47  % (27321)Memory used [KB]: 1663
% 0.18/0.47  % (27321)Time elapsed: 0.005 s
% 0.18/0.47  % (27321)Instructions burned: 3 (million)
% 0.18/0.47  % (27321)------------------------------
% 0.18/0.47  % (27321)------------------------------
% 0.18/0.48  % (27314)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  % (27330)Refutation not found, incomplete strategy% (27330)------------------------------
% 0.18/0.49  % (27330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (27330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (27330)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (27330)Memory used [KB]: 6524
% 0.18/0.49  % (27330)Time elapsed: 0.065 s
% 0.18/0.49  % (27330)Instructions burned: 21 (million)
% 0.18/0.49  % (27330)------------------------------
% 0.18/0.49  % (27330)------------------------------
% 0.18/0.50  % (27313)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (27334)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.51  % (27309)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.51  % (27326)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.51  % (27317)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (27317)Refutation not found, incomplete strategy% (27317)------------------------------
% 0.18/0.52  % (27317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (27311)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.52  % (27320)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.52  % (27308)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52  % (27317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (27317)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (27317)Memory used [KB]: 6396
% 0.18/0.52  % (27317)Time elapsed: 0.107 s
% 0.18/0.52  % (27317)Instructions burned: 11 (million)
% 0.18/0.52  % (27317)------------------------------
% 0.18/0.52  % (27317)------------------------------
% 0.18/0.52  % (27318)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.53  % (27318)Instruction limit reached!
% 0.18/0.53  % (27318)------------------------------
% 0.18/0.53  % (27318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27318)Termination reason: Unknown
% 0.18/0.53  % (27318)Termination phase: Function definition elimination
% 0.18/0.53  
% 0.18/0.53  % (27318)Memory used [KB]: 1663
% 0.18/0.53  % (27318)Time elapsed: 0.004 s
% 0.18/0.53  % (27318)Instructions burned: 8 (million)
% 0.18/0.53  % (27318)------------------------------
% 0.18/0.53  % (27318)------------------------------
% 0.18/0.53  % (27316)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (27322)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.53  % (27314)Instruction limit reached!
% 0.18/0.53  % (27314)------------------------------
% 0.18/0.53  % (27314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27314)Termination reason: Unknown
% 0.18/0.53  % (27314)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (27314)Memory used [KB]: 2302
% 0.18/0.53  % (27314)Time elapsed: 0.089 s
% 0.18/0.53  % (27314)Instructions burned: 49 (million)
% 0.18/0.53  % (27314)------------------------------
% 0.18/0.53  % (27314)------------------------------
% 0.18/0.53  % (27316)Instruction limit reached!
% 0.18/0.53  % (27316)------------------------------
% 0.18/0.53  % (27316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27316)Termination reason: Unknown
% 0.18/0.53  % (27316)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (27316)Memory used [KB]: 1663
% 0.18/0.53  % (27316)Time elapsed: 0.003 s
% 0.18/0.53  % (27316)Instructions burned: 6 (million)
% 0.18/0.53  % (27316)------------------------------
% 0.18/0.53  % (27316)------------------------------
% 0.18/0.53  % (27329)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.53  % (27331)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.53  % (27335)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.53  % (27329)Refutation not found, incomplete strategy% (27329)------------------------------
% 0.18/0.53  % (27329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27329)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (27329)Memory used [KB]: 6140
% 0.18/0.53  % (27329)Time elapsed: 0.133 s
% 0.18/0.53  % (27329)Instructions burned: 3 (million)
% 0.18/0.53  % (27329)------------------------------
% 0.18/0.53  % (27329)------------------------------
% 0.18/0.53  % (27312)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.53  % (27335)Refutation not found, incomplete strategy% (27335)------------------------------
% 0.18/0.53  % (27335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (27335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (27335)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (27335)Memory used [KB]: 1663
% 0.18/0.53  % (27335)Time elapsed: 0.135 s
% 0.18/0.53  % (27335)Instructions burned: 4 (million)
% 0.18/0.53  % (27335)------------------------------
% 0.18/0.53  % (27335)------------------------------
% 0.18/0.54  % (27332)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.54  % (27320)Instruction limit reached!
% 0.18/0.54  % (27320)------------------------------
% 0.18/0.54  % (27320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (27320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (27320)Termination reason: Unknown
% 0.18/0.54  % (27320)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (27320)Memory used [KB]: 1663
% 0.18/0.54  % (27320)Time elapsed: 0.004 s
% 0.18/0.54  % (27320)Instructions burned: 6 (million)
% 0.18/0.54  % (27320)------------------------------
% 0.18/0.54  % (27320)------------------------------
% 0.18/0.54  % (27326)Refutation not found, incomplete strategy% (27326)------------------------------
% 0.18/0.54  % (27326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (27326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (27326)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (27326)Memory used [KB]: 11001
% 0.18/0.54  % (27326)Time elapsed: 0.127 s
% 0.18/0.54  % (27326)Instructions burned: 14 (million)
% 0.18/0.54  % (27326)------------------------------
% 0.18/0.54  % (27326)------------------------------
% 0.18/0.54  % (27311)First to succeed.
% 0.18/0.54  % (27313)Instruction limit reached!
% 0.18/0.54  % (27313)------------------------------
% 0.18/0.54  % (27313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (27313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (27313)Termination reason: Unknown
% 0.18/0.54  % (27313)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (27313)Memory used [KB]: 6524
% 0.18/0.54  % (27313)Time elapsed: 0.131 s
% 0.18/0.54  % (27313)Instructions burned: 25 (million)
% 0.18/0.54  % (27313)------------------------------
% 0.18/0.54  % (27313)------------------------------
% 0.18/0.54  % (27311)Refutation found. Thanks to Tanya!
% 0.18/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54  % (27311)------------------------------
% 0.18/0.54  % (27311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (27311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (27311)Termination reason: Refutation
% 0.18/0.54  
% 0.18/0.54  % (27311)Memory used [KB]: 6140
% 0.18/0.54  % (27311)Time elapsed: 0.004 s
% 0.18/0.54  % (27311)Instructions burned: 3 (million)
% 0.18/0.54  % (27311)------------------------------
% 0.18/0.54  % (27311)------------------------------
% 0.18/0.54  % (27307)Success in time 0.2 s
%------------------------------------------------------------------------------