TSTP Solution File: LCL834-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL834-1 : 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 : n018.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 17:46:11 EDT 2022
% Result : Unsatisfiable 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-5 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f769,plain,
$false,
inference(subsumption_resolution,[],[f761,f435]) ).
fof(f435,axiom,
! [X3,X1] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f761,plain,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(resolution,[],[f444,f436]) ).
fof(f436,axiom,
! [X0,X73,X1] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X73,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X73,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
fof(f444,axiom,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 02:53:24 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.44 % (2963)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)
% 0.15/0.47 % (2972)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)
% 0.15/0.48 % (2963)Instruction limit reached!
% 0.15/0.48 % (2963)------------------------------
% 0.15/0.48 % (2963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (2963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (2963)Termination reason: Unknown
% 0.15/0.48 % (2963)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (2963)Memory used [KB]: 2046
% 0.15/0.48 % (2963)Time elapsed: 0.083 s
% 0.15/0.48 % (2963)Instructions burned: 29 (million)
% 0.15/0.48 % (2963)------------------------------
% 0.15/0.48 % (2963)------------------------------
% 0.15/0.49 % (2965)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49 % (2965)Instruction limit reached!
% 0.15/0.49 % (2965)------------------------------
% 0.15/0.49 % (2965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (2965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (2965)Termination reason: Unknown
% 0.15/0.49 % (2965)Termination phase: shuffling
% 0.15/0.49
% 0.15/0.49 % (2965)Memory used [KB]: 1791
% 0.15/0.49 % (2965)Time elapsed: 0.003 s
% 0.15/0.49 % (2965)Instructions burned: 2 (million)
% 0.15/0.49 % (2965)------------------------------
% 0.15/0.49 % (2965)------------------------------
% 0.15/0.50 % (2957)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)
% 0.15/0.50 % (2956)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 % (2973)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)
% 0.15/0.51 % (2964)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.51 % (2964)Instruction limit reached!
% 0.15/0.51 % (2964)------------------------------
% 0.15/0.51 % (2964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (2964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (2964)Termination reason: Unknown
% 0.15/0.51 % (2964)Termination phase: Property scanning
% 0.15/0.51
% 0.15/0.51 % (2964)Memory used [KB]: 1791
% 0.15/0.51 % (2964)Time elapsed: 0.007 s
% 0.15/0.51 % (2964)Instructions burned: 7 (million)
% 0.15/0.51 % (2964)------------------------------
% 0.15/0.51 % (2964)------------------------------
% 0.15/0.52 % (2957)Instruction limit reached!
% 0.15/0.52 % (2957)------------------------------
% 0.15/0.52 % (2957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (2957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (2957)Termination reason: Unknown
% 0.15/0.52 % (2957)Termination phase: Function definition elimination
% 0.15/0.52
% 0.15/0.52 % (2957)Memory used [KB]: 1791
% 0.15/0.52 % (2957)Time elapsed: 0.004 s
% 0.15/0.52 % (2957)Instructions burned: 3 (million)
% 0.15/0.52 % (2957)------------------------------
% 0.15/0.52 % (2957)------------------------------
% 0.15/0.52 % (2974)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)
% 0.15/0.53 % (2953)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)
% 0.15/0.54 % (2951)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.54 % (2951)Instruction limit reached!
% 0.15/0.54 % (2951)------------------------------
% 0.15/0.54 % (2951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (2951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (2951)Termination reason: Unknown
% 0.15/0.54 % (2951)Termination phase: General splitting
% 0.15/0.54
% 0.15/0.54 % (2951)Memory used [KB]: 1791
% 0.15/0.54 % (2951)Time elapsed: 0.005 s
% 0.15/0.54 % (2951)Instructions burned: 5 (million)
% 0.15/0.54 % (2951)------------------------------
% 0.15/0.54 % (2951)------------------------------
% 1.42/0.55 % (2960)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.42/0.55 % (2978)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.42/0.55 % (2952)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)
% 1.42/0.56 % (2953)Refutation not found, incomplete strategy% (2953)------------------------------
% 1.42/0.56 % (2953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (2953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (2953)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56
% 1.42/0.56 % (2953)Memory used [KB]: 6396
% 1.42/0.56 % (2953)Time elapsed: 0.149 s
% 1.42/0.56 % (2953)Instructions burned: 6 (million)
% 1.42/0.56 % (2953)------------------------------
% 1.42/0.56 % (2953)------------------------------
% 1.42/0.56 % (2959)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)
% 1.42/0.56 % (2969)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.56 % (2961)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)
% 1.42/0.56 % (2968)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)
% 1.42/0.56 % (2961)Instruction limit reached!
% 1.42/0.56 % (2961)------------------------------
% 1.42/0.56 % (2961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (2961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (2961)Termination reason: Unknown
% 1.42/0.56 % (2961)Termination phase: Property scanning
% 1.42/0.56
% 1.42/0.56 % (2961)Memory used [KB]: 1791
% 1.42/0.56 % (2961)Time elapsed: 0.005 s
% 1.42/0.56 % (2961)Instructions burned: 6 (million)
% 1.42/0.56 % (2961)------------------------------
% 1.42/0.56 % (2961)------------------------------
% 1.42/0.57 % (2977)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)
% 1.42/0.57 % (2976)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)
% 1.72/0.57 % (2970)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.72/0.57 % (2973)First to succeed.
% 1.72/0.58 % (2973)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (2973)------------------------------
% 1.72/0.58 % (2973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (2973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (2973)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (2973)Memory used [KB]: 6908
% 1.72/0.58 % (2973)Time elapsed: 0.151 s
% 1.72/0.58 % (2973)Instructions burned: 29 (million)
% 1.72/0.58 % (2973)------------------------------
% 1.72/0.58 % (2973)------------------------------
% 1.72/0.58 % (2948)Success in time 0.248 s
%------------------------------------------------------------------------------