TSTP Solution File: LCL773-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL773-1 : 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_sat --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 17:49:55 EDT 2022
% Result : Unsatisfiable 1.79s 0.63s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 29 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1309,plain,
$false,
inference(avatar_sat_refutation,[],[f1304,f1306,f1308]) ).
fof(f1308,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| ~ spl4_7 ),
inference(resolution,[],[f1303,f1111]) ).
fof(f1111,plain,
~ c_InductTermi_OIT(sF2),
inference(definition_folding,[],[f1068,f1110,f1109,f1108]) ).
fof(f1108,plain,
c_Lambda_OdB_OVar(v_i) = sF0,
introduced(function_definition,[]) ).
fof(f1109,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF1,
introduced(function_definition,[]) ).
fof(f1110,plain,
sF2 = c_Lambda_Osubst(v_r,sF0,sF1),
introduced(function_definition,[]) ).
fof(f1068,axiom,
~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1303,plain,
( c_InductTermi_OIT(sF2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1301,plain,
( spl4_7
<=> c_InductTermi_OIT(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f1306,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1305,plain,
( $false
| spl4_6 ),
inference(resolution,[],[f1299,f1066]) ).
fof(f1066,axiom,
c_InductTermi_OIT(v_r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1299,plain,
( ~ c_InductTermi_OIT(v_r)
| spl4_6 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1297,plain,
( spl4_6
<=> c_InductTermi_OIT(v_r) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f1304,plain,
( ~ spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f1294,f1301,f1297]) ).
fof(f1294,plain,
( c_InductTermi_OIT(sF2)
| ~ c_InductTermi_OIT(v_r) ),
inference(superposition,[],[f1287,f1110]) ).
fof(f1287,plain,
! [X0,X1] :
( c_InductTermi_OIT(c_Lambda_Osubst(X0,sF0,X1))
| ~ c_InductTermi_OIT(X0) ),
inference(superposition,[],[f1060,f1108]) ).
fof(f1060,axiom,
! [X0,X36,X1] :
( c_InductTermi_OIT(c_Lambda_Osubst(X36,c_Lambda_OdB_OVar(X0),X1))
| ~ c_InductTermi_OIT(X36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Var__IT_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL773-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 02:42:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.54 % (11404)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (11412)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55 % (11396)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (11392)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (11407)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (11396)Instruction limit reached!
% 0.19/0.56 % (11396)------------------------------
% 0.19/0.56 % (11396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11396)Termination reason: Unknown
% 0.19/0.56 % (11396)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (11396)Memory used [KB]: 2046
% 0.19/0.56 % (11396)Time elapsed: 0.009 s
% 0.19/0.56 % (11396)Instructions burned: 8 (million)
% 0.19/0.56 % (11396)------------------------------
% 0.19/0.56 % (11396)------------------------------
% 0.19/0.57 % (11400)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.58 % (11389)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.40/0.58 % (11391)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.40/0.58 % (11393)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.59 % (11411)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.40/0.59 % (11402)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.59 % (11395)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.59 % (11397)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.60 % (11397)Instruction limit reached!
% 1.40/0.60 % (11397)------------------------------
% 1.40/0.60 % (11397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (11397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (11397)Termination reason: Unknown
% 1.40/0.60 % (11397)Termination phase: shuffling
% 1.40/0.60
% 1.40/0.60 % (11397)Memory used [KB]: 1791
% 1.40/0.60 % (11397)Time elapsed: 0.002 s
% 1.40/0.60 % (11397)Instructions burned: 2 (million)
% 1.40/0.60 % (11397)------------------------------
% 1.40/0.60 % (11397)------------------------------
% 1.40/0.60 % (11403)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.54/0.60 % (11408)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.60 % (11409)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.54/0.60 % (11394)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.54/0.61 % (11401)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.61 % (11405)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.61 % (11390)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.61 % (11413)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.61 % (11417)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.54/0.61 % (11418)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.54/0.61 % (11400)First to succeed.
% 1.54/0.61 % (11416)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.54/0.62 % (11414)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.62 % (11398)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.62 % (11399)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.62 % (11415)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.54/0.62 % (11406)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.79/0.63 % (11392)Also succeeded, but the first one will report.
% 1.79/0.63 % (11400)Refutation found. Thanks to Tanya!
% 1.79/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.63 % (11400)------------------------------
% 1.79/0.63 % (11400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.63 % (11400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.63 % (11400)Termination reason: Refutation
% 1.79/0.63
% 1.79/0.63 % (11400)Memory used [KB]: 7036
% 1.79/0.63 % (11400)Time elapsed: 0.160 s
% 1.79/0.63 % (11400)Instructions burned: 39 (million)
% 1.79/0.63 % (11400)------------------------------
% 1.79/0.63 % (11400)------------------------------
% 1.79/0.63 % (11377)Success in time 0.273 s
%------------------------------------------------------------------------------