TSTP Solution File: REL031-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 : Wed Aug 31 18:13:04 EDT 2022

% Result   : Unsatisfiable 3.11s 0.81s
% Output   : Refutation 3.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   90 (  90 unt;   0 def)
%            Number of atoms       :   90 (  89 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1048,plain,
    $false,
    inference(subsumption_resolution,[],[f1023,f32]) ).

fof(f32,plain,
    one != sF9,
    inference(definition_folding,[],[f19,f31,f30,f28,f29,f28]) ).

fof(f29,plain,
    converse(sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f28,plain,
    composition(sk1,sk2) = sF6,
    introduced(function_definition,[]) ).

fof(f30,plain,
    composition(sF7,sF6) = sF8,
    introduced(function_definition,[]) ).

fof(f31,plain,
    join(sF8,one) = sF9,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    one != join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_19) ).

fof(f1023,plain,
    one = sF9,
    inference(superposition,[],[f1015,f6]) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).

fof(f1015,plain,
    ! [X16] : composition(sF9,X16) = X16,
    inference(backward_demodulation,[],[f654,f1014]) ).

fof(f1014,plain,
    ! [X0] : join(X0,composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))) = X0,
    inference(forward_demodulation,[],[f1013,f591]) ).

fof(f591,plain,
    ! [X0] : join(X0,composition(sF0,composition(sk2,X0))) = X0,
    inference(forward_demodulation,[],[f583,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).

fof(f583,plain,
    ! [X0] : join(composition(sF0,composition(sk2,X0)),X0) = X0,
    inference(backward_demodulation,[],[f294,f556]) ).

fof(f556,plain,
    ! [X4] : composition(converse(one),X4) = X4,
    inference(superposition,[],[f81,f8]) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).

fof(f81,plain,
    ! [X0] : converse(X0) = composition(converse(one),converse(X0)),
    inference(superposition,[],[f10,f6]) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).

fof(f294,plain,
    ! [X0] : join(composition(sF0,composition(sk2,X0)),composition(converse(one),X0)) = composition(converse(one),X0),
    inference(forward_demodulation,[],[f288,f144]) ).

fof(f144,plain,
    ! [X7] : composition(sF1,X7) = composition(sF0,composition(sk2,X7)),
    inference(superposition,[],[f5,f21]) ).

fof(f21,plain,
    composition(sF0,sk2) = sF1,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).

fof(f288,plain,
    ! [X0] : join(composition(sF1,X0),composition(converse(one),X0)) = composition(converse(one),X0),
    inference(superposition,[],[f7,f96]) ).

fof(f96,plain,
    join(sF1,converse(one)) = converse(one),
    inference(forward_demodulation,[],[f95,f1]) ).

fof(f95,plain,
    converse(one) = join(converse(one),sF1),
    inference(backward_demodulation,[],[f65,f94]) ).

fof(f94,plain,
    converse(sF1) = sF1,
    inference(forward_demodulation,[],[f93,f21]) ).

fof(f93,plain,
    composition(sF0,sk2) = converse(sF1),
    inference(forward_demodulation,[],[f92,f20]) ).

fof(f20,plain,
    converse(sk2) = sF0,
    introduced(function_definition,[]) ).

fof(f92,plain,
    composition(converse(sk2),sk2) = converse(sF1),
    inference(forward_demodulation,[],[f83,f42]) ).

fof(f42,plain,
    sk2 = converse(sF0),
    inference(superposition,[],[f8,f20]) ).

fof(f83,plain,
    converse(sF1) = composition(converse(sk2),converse(sF0)),
    inference(superposition,[],[f10,f21]) ).

fof(f65,plain,
    join(converse(one),converse(sF1)) = converse(one),
    inference(superposition,[],[f9,f49]) ).

fof(f49,plain,
    one = join(one,sF1),
    inference(superposition,[],[f33,f1]) ).

fof(f33,plain,
    one = join(sF1,one),
    inference(backward_demodulation,[],[f22,f23]) ).

fof(f23,plain,
    one = sF2,
    inference(definition_folding,[],[f18,f22,f21,f20]) ).

fof(f18,axiom,
    one = join(composition(converse(sk2),sk2),one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).

fof(f22,plain,
    sF2 = join(sF1,one),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).

fof(f7,axiom,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).

fof(f1013,plain,
    ! [X0] : join(X0,composition(sF0,composition(sk2,X0))) = join(X0,composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))),
    inference(backward_demodulation,[],[f659,f1012]) ).

fof(f1012,plain,
    ! [X0] : composition(sF0,X0) = join(composition(sF0,X0),composition(sF0,composition(sF3,composition(sk1,X0)))),
    inference(forward_demodulation,[],[f1011,f146]) ).

fof(f146,plain,
    ! [X9] : composition(sF3,composition(sk1,X9)) = composition(sF4,X9),
    inference(superposition,[],[f5,f25]) ).

fof(f25,plain,
    sF4 = composition(sF3,sk1),
    introduced(function_definition,[]) ).

fof(f1011,plain,
    ! [X0] : composition(sF0,X0) = join(composition(sF0,X0),composition(sF0,composition(sF4,X0))),
    inference(forward_demodulation,[],[f1003,f5]) ).

fof(f1003,plain,
    ! [X0] : composition(sF0,X0) = join(composition(sF0,X0),composition(composition(sF0,sF4),X0)),
    inference(superposition,[],[f7,f716]) ).

fof(f716,plain,
    join(sF0,composition(sF0,sF4)) = sF0,
    inference(forward_demodulation,[],[f715,f25]) ).

fof(f715,plain,
    join(sF0,composition(sF0,composition(sF3,sk1))) = sF0,
    inference(forward_demodulation,[],[f714,f145]) ).

fof(f145,plain,
    ! [X8] : composition(sF7,X8) = composition(sF0,composition(sF3,X8)),
    inference(superposition,[],[f5,f101]) ).

fof(f101,plain,
    sF7 = composition(sF0,sF3),
    inference(forward_demodulation,[],[f100,f20]) ).

fof(f100,plain,
    composition(converse(sk2),sF3) = sF7,
    inference(forward_demodulation,[],[f99,f29]) ).

fof(f99,plain,
    composition(converse(sk2),sF3) = converse(sF6),
    inference(forward_demodulation,[],[f82,f24]) ).

fof(f24,plain,
    converse(sk1) = sF3,
    introduced(function_definition,[]) ).

fof(f82,plain,
    converse(sF6) = composition(converse(sk2),converse(sk1)),
    inference(superposition,[],[f10,f28]) ).

fof(f714,plain,
    join(sF0,composition(sF7,sk1)) = sF0,
    inference(forward_demodulation,[],[f713,f1]) ).

fof(f713,plain,
    join(composition(sF7,sk1),sF0) = sF0,
    inference(forward_demodulation,[],[f712,f20]) ).

fof(f712,plain,
    converse(sk2) = join(composition(sF7,sk1),converse(sk2)),
    inference(forward_demodulation,[],[f711,f1]) ).

fof(f711,plain,
    converse(sk2) = join(converse(sk2),composition(sF7,sk1)),
    inference(forward_demodulation,[],[f710,f29]) ).

fof(f710,plain,
    converse(sk2) = join(converse(sk2),composition(converse(sF6),sk1)),
    inference(forward_demodulation,[],[f709,f41]) ).

fof(f41,plain,
    sk1 = converse(sF3),
    inference(superposition,[],[f8,f24]) ).

fof(f709,plain,
    converse(sk2) = join(converse(sk2),composition(converse(sF6),converse(sF3))),
    inference(forward_demodulation,[],[f706,f10]) ).

fof(f706,plain,
    converse(sk2) = join(converse(sk2),converse(composition(sF3,sF6))),
    inference(superposition,[],[f9,f666]) ).

fof(f666,plain,
    sk2 = join(sk2,composition(sF3,sF6)),
    inference(backward_demodulation,[],[f595,f639]) ).

fof(f639,plain,
    ! [X4] : composition(one,X4) = X4,
    inference(backward_demodulation,[],[f556,f628]) ).

fof(f628,plain,
    one = converse(one),
    inference(superposition,[],[f6,f556]) ).

fof(f595,plain,
    composition(one,sk2) = join(composition(one,sk2),composition(sF3,sF6)),
    inference(superposition,[],[f207,f28]) ).

fof(f207,plain,
    ! [X15] : join(composition(one,X15),composition(sF3,composition(sk1,X15))) = composition(one,X15),
    inference(forward_demodulation,[],[f196,f146]) ).

fof(f196,plain,
    ! [X15] : join(composition(one,X15),composition(sF4,X15)) = composition(one,X15),
    inference(superposition,[],[f7,f37]) ).

fof(f37,plain,
    one = join(one,sF4),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    one = join(sF4,one),
    inference(backward_demodulation,[],[f26,f27]) ).

fof(f27,plain,
    one = sF5,
    inference(definition_folding,[],[f17,f26,f25,f24]) ).

fof(f17,axiom,
    one = join(composition(converse(sk1),sk1),one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).

fof(f26,plain,
    sF5 = join(sF4,one),
    introduced(function_definition,[]) ).

fof(f659,plain,
    ! [X0] : join(X0,composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))) = join(X0,join(composition(sF0,composition(sk2,X0)),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0)))))),
    inference(backward_demodulation,[],[f540,f639]) ).

fof(f540,plain,
    ! [X0] : join(composition(one,X0),join(composition(sF0,composition(sk2,X0)),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0)))))) = join(composition(one,X0),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))),
    inference(forward_demodulation,[],[f539,f144]) ).

fof(f539,plain,
    ! [X0] : join(composition(one,X0),join(composition(sF1,X0),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0)))))) = join(composition(one,X0),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))),
    inference(forward_demodulation,[],[f538,f128]) ).

fof(f128,plain,
    ! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
    inference(forward_demodulation,[],[f109,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).

fof(f109,plain,
    ! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
    inference(superposition,[],[f2,f1]) ).

fof(f538,plain,
    ! [X0] : join(composition(sF1,X0),join(composition(one,X0),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0)))))) = join(composition(one,X0),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X0))))),
    inference(forward_demodulation,[],[f529,f206]) ).

fof(f206,plain,
    ! [X16] : join(composition(one,X16),composition(sF0,composition(sF3,composition(sk1,composition(sk2,X16))))) = composition(sF9,X16),
    inference(forward_demodulation,[],[f197,f158]) ).

fof(f158,plain,
    ! [X10] : composition(sF0,composition(sF3,composition(sk1,composition(sk2,X10)))) = composition(sF8,X10),
    inference(backward_demodulation,[],[f157,f143]) ).

fof(f143,plain,
    ! [X6] : composition(sk1,composition(sk2,X6)) = composition(sF6,X6),
    inference(superposition,[],[f5,f28]) ).

fof(f157,plain,
    ! [X10] : composition(sF0,composition(sF3,composition(sF6,X10))) = composition(sF8,X10),
    inference(backward_demodulation,[],[f147,f145]) ).

fof(f147,plain,
    ! [X10] : composition(sF7,composition(sF6,X10)) = composition(sF8,X10),
    inference(superposition,[],[f5,f30]) ).

fof(f197,plain,
    ! [X16] : join(composition(one,X16),composition(sF8,X16)) = composition(sF9,X16),
    inference(superposition,[],[f7,f40]) ).

fof(f40,plain,
    join(one,sF8) = sF9,
    inference(forward_demodulation,[],[f31,f1]) ).

fof(f529,plain,
    ! [X0] : join(composition(sF1,X0),composition(sF9,X0)) = composition(sF9,X0),
    inference(superposition,[],[f7,f509]) ).

fof(f509,plain,
    join(sF1,sF9) = sF9,
    inference(superposition,[],[f115,f40]) ).

fof(f115,plain,
    ! [X15] : join(one,X15) = join(sF1,join(one,X15)),
    inference(superposition,[],[f2,f33]) ).

fof(f654,plain,
    ! [X16] : composition(sF9,X16) = join(X16,composition(sF0,composition(sF3,composition(sk1,composition(sk2,X16))))),
    inference(backward_demodulation,[],[f206,f639]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 11:20:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (7315)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.50  % (7306)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50  % (7308)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (7309)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (7310)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (7317)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (7328)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.51  % (7316)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (7324)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (7320)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.52  % (7327)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.52  % (7312)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (7330)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.52  % (7322)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (7332)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.52  % (7333)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.52  % (7331)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (7319)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.53  % (7309)Instruction limit reached!
% 0.20/0.53  % (7309)------------------------------
% 0.20/0.53  % (7309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7309)Termination reason: Unknown
% 0.20/0.53  % (7309)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (7309)Memory used [KB]: 5500
% 0.20/0.53  % (7309)Time elapsed: 0.109 s
% 0.20/0.53  % (7309)Instructions burned: 7 (million)
% 0.20/0.53  % (7309)------------------------------
% 0.20/0.53  % (7309)------------------------------
% 0.20/0.53  % (7323)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.53  % (7307)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.53  % (7318)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.53  % (7335)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (7307)Instruction limit reached!
% 0.20/0.53  % (7307)------------------------------
% 0.20/0.53  % (7307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7307)Termination reason: Unknown
% 0.20/0.53  % (7307)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (7307)Memory used [KB]: 5628
% 0.20/0.53  % (7307)Time elapsed: 0.137 s
% 0.20/0.53  % (7307)Instructions burned: 10 (million)
% 0.20/0.53  % (7307)------------------------------
% 0.20/0.53  % (7307)------------------------------
% 0.20/0.53  % (7313)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (7321)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.54  % (7329)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.54  % (7334)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.54  % (7314)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (7312)Instruction limit reached!
% 0.20/0.54  % (7312)------------------------------
% 0.20/0.54  % (7312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (7312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (7312)Termination reason: Unknown
% 0.20/0.54  % (7312)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (7312)Memory used [KB]: 5628
% 0.20/0.54  % (7312)Time elapsed: 0.100 s
% 0.20/0.54  % (7312)Instructions burned: 9 (million)
% 0.20/0.54  % (7312)------------------------------
% 0.20/0.54  % (7312)------------------------------
% 0.20/0.54  % (7325)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.54  % (7326)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.54  % (7311)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.55  % (7315)Instruction limit reached!
% 0.20/0.55  % (7315)------------------------------
% 0.20/0.55  % (7315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (7316)Instruction limit reached!
% 0.20/0.56  % (7316)------------------------------
% 0.20/0.56  % (7316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (7308)Instruction limit reached!
% 0.20/0.57  % (7308)------------------------------
% 0.20/0.57  % (7308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (7308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (7308)Termination reason: Unknown
% 0.20/0.57  % (7308)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (7308)Memory used [KB]: 6652
% 0.20/0.57  % (7308)Time elapsed: 0.131 s
% 0.20/0.57  % (7308)Instructions burned: 37 (million)
% 0.20/0.57  % (7308)------------------------------
% 0.20/0.57  % (7308)------------------------------
% 0.20/0.57  % (7316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (7316)Termination reason: Unknown
% 0.20/0.57  % (7316)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (7316)Memory used [KB]: 6652
% 0.20/0.57  % (7316)Time elapsed: 0.141 s
% 0.20/0.57  % (7316)Instructions burned: 38 (million)
% 0.20/0.57  % (7316)------------------------------
% 0.20/0.57  % (7316)------------------------------
% 0.20/0.57  % (7322)Instruction limit reached!
% 0.20/0.57  % (7322)------------------------------
% 0.20/0.57  % (7322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (7315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (7315)Termination reason: Unknown
% 0.20/0.57  % (7315)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (7315)Memory used [KB]: 6396
% 0.20/0.57  % (7315)Time elapsed: 0.170 s
% 0.20/0.57  % (7315)Instructions burned: 47 (million)
% 0.20/0.57  % (7315)------------------------------
% 0.20/0.57  % (7315)------------------------------
% 0.20/0.57  % (7311)Instruction limit reached!
% 0.20/0.57  % (7311)------------------------------
% 0.20/0.57  % (7311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (7311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (7311)Termination reason: Unknown
% 0.20/0.57  % (7311)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (7311)Memory used [KB]: 5884
% 0.20/0.57  % (7311)Time elapsed: 0.163 s
% 0.20/0.57  % (7311)Instructions burned: 21 (million)
% 0.20/0.57  % (7311)------------------------------
% 0.20/0.57  % (7311)------------------------------
% 0.20/0.58  % (7317)Instruction limit reached!
% 0.20/0.58  % (7317)------------------------------
% 0.20/0.58  % (7317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (7313)Instruction limit reached!
% 1.85/0.59  % (7313)------------------------------
% 1.85/0.59  % (7313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (7313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (7313)Termination reason: Unknown
% 1.85/0.59  % (7313)Termination phase: Saturation
% 1.85/0.59  
% 1.85/0.59  % (7313)Memory used [KB]: 6140
% 1.85/0.59  % (7313)Time elapsed: 0.173 s
% 1.85/0.59  % (7313)Instructions burned: 35 (million)
% 1.85/0.59  % (7313)------------------------------
% 1.85/0.59  % (7313)------------------------------
% 1.85/0.59  % (7317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (7317)Termination reason: Unknown
% 1.85/0.59  % (7317)Termination phase: Saturation
% 1.85/0.59  
% 1.85/0.59  % (7317)Memory used [KB]: 6524
% 1.85/0.59  % (7317)Time elapsed: 0.190 s
% 1.85/0.59  % (7317)Instructions burned: 50 (million)
% 1.85/0.59  % (7317)------------------------------
% 1.85/0.59  % (7317)------------------------------
% 1.85/0.59  % (7322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (7322)Termination reason: Unknown
% 1.85/0.59  % (7322)Termination phase: Saturation
% 1.85/0.59  
% 1.85/0.59  % (7322)Memory used [KB]: 6524
% 1.85/0.59  % (7322)Time elapsed: 0.183 s
% 1.85/0.59  % (7322)Instructions burned: 49 (million)
% 1.85/0.59  % (7322)------------------------------
% 1.85/0.59  % (7322)------------------------------
% 1.85/0.59  % (7335)Instruction limit reached!
% 1.85/0.59  % (7335)------------------------------
% 1.85/0.59  % (7335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (7335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (7335)Termination reason: Unknown
% 1.85/0.59  % (7335)Termination phase: Saturation
% 1.85/0.59  
% 1.85/0.59  % (7335)Memory used [KB]: 6524
% 1.85/0.59  % (7335)Time elapsed: 0.202 s
% 1.85/0.59  % (7335)Instructions burned: 50 (million)
% 1.85/0.59  % (7335)------------------------------
% 1.85/0.59  % (7335)------------------------------
% 1.85/0.60  % (7310)Instruction limit reached!
% 1.85/0.60  % (7310)------------------------------
% 1.85/0.60  % (7310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60  % (7310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60  % (7310)Termination reason: Unknown
% 1.85/0.60  % (7310)Termination phase: Saturation
% 1.85/0.60  
% 1.85/0.60  % (7310)Memory used [KB]: 6396
% 1.85/0.60  % (7310)Time elapsed: 0.208 s
% 1.85/0.60  % (7310)Instructions burned: 50 (million)
% 1.85/0.60  % (7310)------------------------------
% 1.85/0.60  % (7310)------------------------------
% 2.05/0.61  % (7314)Instruction limit reached!
% 2.05/0.61  % (7314)------------------------------
% 2.05/0.61  % (7314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61  % (7314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61  % (7314)Termination reason: Unknown
% 2.05/0.61  % (7314)Termination phase: Saturation
% 2.05/0.61  
% 2.05/0.61  % (7314)Memory used [KB]: 10874
% 2.05/0.61  % (7314)Time elapsed: 0.214 s
% 2.05/0.61  % (7314)Instructions burned: 38 (million)
% 2.05/0.61  % (7314)------------------------------
% 2.05/0.61  % (7314)------------------------------
% 2.18/0.67  % (7433)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 2.18/0.67  % (7434)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/463Mi)
% 2.18/0.67  % (7435)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/292Mi)
% 2.18/0.67  % (7448)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 2.18/0.70  % (7449)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/402Mi)
% 2.18/0.70  % (7329)Instruction limit reached!
% 2.18/0.70  % (7329)------------------------------
% 2.18/0.70  % (7329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.70  % (7329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.70  % (7329)Termination reason: Unknown
% 2.18/0.70  % (7329)Termination phase: Saturation
% 2.18/0.70  
% 2.18/0.70  % (7329)Memory used [KB]: 7291
% 2.18/0.70  % (7329)Time elapsed: 0.310 s
% 2.18/0.70  % (7329)Instructions burned: 112 (million)
% 2.18/0.70  % (7329)------------------------------
% 2.18/0.70  % (7329)------------------------------
% 2.18/0.70  % (7460)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1598Mi)
% 2.18/0.71  % (7458)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/248Mi)
% 2.18/0.71  % (7453)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/312Mi)
% 2.18/0.71  % (7452)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/496Mi)
% 2.18/0.71  % (7325)Instruction limit reached!
% 2.18/0.71  % (7325)------------------------------
% 2.18/0.71  % (7325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.71  % (7325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.71  % (7325)Termination reason: Unknown
% 2.18/0.71  % (7325)Termination phase: Saturation
% 2.18/0.71  
% 2.18/0.71  % (7325)Memory used [KB]: 6780
% 2.18/0.71  % (7325)Time elapsed: 0.316 s
% 2.18/0.71  % (7325)Instructions burned: 104 (million)
% 2.18/0.71  % (7325)------------------------------
% 2.18/0.71  % (7325)------------------------------
% 2.73/0.72  % (7459)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/177Mi)
% 2.73/0.73  % (7462)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/381Mi)
% 2.73/0.74  % (7467)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/1242Mi)
% 2.73/0.76  % (7475)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/629Mi)
% 3.11/0.80  % (7449)First to succeed.
% 3.11/0.81  % (7449)Refutation found. Thanks to Tanya!
% 3.11/0.81  % SZS status Unsatisfiable for theBenchmark
% 3.11/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 3.11/0.81  % (7449)------------------------------
% 3.11/0.81  % (7449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.81  % (7449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.81  % (7449)Termination reason: Refutation
% 3.11/0.81  
% 3.11/0.81  % (7449)Memory used [KB]: 6780
% 3.11/0.81  % (7449)Time elapsed: 0.196 s
% 3.11/0.81  % (7449)Instructions burned: 68 (million)
% 3.11/0.81  % (7449)------------------------------
% 3.11/0.81  % (7449)------------------------------
% 3.11/0.81  % (7304)Success in time 0.45 s
%------------------------------------------------------------------------------