TSTP Solution File: LCL849-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL849-1 : 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 : 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 17:50:12 EDT 2022

% Result   : Unsatisfiable 2.12s 0.66s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-5 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f782,plain,
    $false,
    inference(trivial_inequality_removal,[],[f781]) ).

fof(f781,plain,
    hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(backward_demodulation,[],[f661,f778]) ).

fof(f778,plain,
    ! [X18,X19,X16,X17,X20] : hAPP(hAPP(X16,X17),X18) = c_List_Ofoldl(X16,X17,c_List_Olist_OCons(X18,c_List_Olist_ONil(X19),X19),X20,X19),
    inference(superposition,[],[f650,f653]) ).

fof(f653,axiom,
    ! [X2,X3,X29,X7,X22,X13] : c_List_Ofoldl(X22,X3,c_List_Olist_OCons(X7,X13,X29),X2,X29) = c_List_Ofoldl(X22,hAPP(hAPP(X22,X3),X7),X13,X2,X29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).

fof(f650,axiom,
    ! [X2,X3,X29,X22] : c_List_Ofoldl(X22,X3,c_List_Olist_ONil(X29),X2,X29) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).

fof(f661,axiom,
    c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL849-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 02:47:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (1426)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (1426)Instruction limit reached!
% 0.19/0.50  % (1426)------------------------------
% 0.19/0.50  % (1426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (1434)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)
% 0.19/0.51  % (1426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (1426)Termination reason: Unknown
% 0.19/0.51  % (1426)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (1426)Memory used [KB]: 6140
% 0.19/0.51  % (1426)Time elapsed: 0.008 s
% 0.19/0.51  % (1426)Instructions burned: 8 (million)
% 0.19/0.51  % (1426)------------------------------
% 0.19/0.51  % (1426)------------------------------
% 0.19/0.52  % (1428)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)
% 0.19/0.53  % (1444)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (1429)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (1433)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)
% 0.19/0.53  % (1420)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)
% 0.19/0.53  % (1443)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (1441)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)
% 0.19/0.54  % (1419)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)
% 0.19/0.55  % (1442)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  % (1447)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (1421)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)
% 0.19/0.55  % (1427)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (1424)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)
% 0.19/0.55  % (1422)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)
% 0.19/0.55  % (1427)Instruction limit reached!
% 0.19/0.55  % (1427)------------------------------
% 0.19/0.55  % (1427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (1427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (1427)Termination reason: Unknown
% 0.19/0.55  % (1427)Termination phase: Blocked clause elimination
% 0.19/0.55  
% 0.19/0.55  % (1427)Memory used [KB]: 1791
% 0.19/0.55  % (1427)Time elapsed: 0.004 s
% 0.19/0.55  % (1427)Instructions burned: 3 (million)
% 0.19/0.55  % (1427)------------------------------
% 0.19/0.55  % (1427)------------------------------
% 0.19/0.55  % (1423)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (1430)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)
% 0.19/0.56  % (1440)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (1439)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)
% 0.19/0.56  % (1425)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)
% 0.19/0.56  % (1445)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)
% 0.19/0.56  % (1446)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)
% 0.19/0.56  % (1432)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (1431)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.57  % (1437)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.57  % (1448)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)
% 1.51/0.57  % (1436)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.57  % (1438)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)
% 1.51/0.57  % (1435)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)
% 1.66/0.61  % (1421)Instruction limit reached!
% 1.66/0.61  % (1421)------------------------------
% 1.66/0.61  % (1421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (1421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (1421)Termination reason: Unknown
% 1.66/0.61  % (1421)Termination phase: Saturation
% 1.66/0.61  
% 1.66/0.61  % (1421)Memory used [KB]: 1918
% 1.66/0.61  % (1421)Time elapsed: 0.021 s
% 1.66/0.61  % (1421)Instructions burned: 38 (million)
% 1.66/0.61  % (1421)------------------------------
% 1.66/0.61  % (1421)------------------------------
% 1.66/0.61  % (1434)Instruction limit reached!
% 1.66/0.61  % (1434)------------------------------
% 1.66/0.61  % (1434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (1434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (1434)Termination reason: Unknown
% 1.66/0.61  % (1434)Termination phase: Saturation
% 1.66/0.61  
% 1.66/0.61  % (1434)Memory used [KB]: 2558
% 1.66/0.61  % (1434)Time elapsed: 0.183 s
% 1.66/0.61  % (1434)Instructions burned: 76 (million)
% 1.66/0.61  % (1434)------------------------------
% 1.66/0.61  % (1434)------------------------------
% 2.01/0.63  % (1429)Instruction limit reached!
% 2.01/0.63  % (1429)------------------------------
% 2.01/0.63  % (1429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (1429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (1429)Termination reason: Unknown
% 2.01/0.63  % (1429)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (1429)Memory used [KB]: 7036
% 2.01/0.63  % (1429)Time elapsed: 0.192 s
% 2.01/0.63  % (1429)Instructions burned: 50 (million)
% 2.01/0.63  % (1429)------------------------------
% 2.01/0.63  % (1429)------------------------------
% 2.01/0.63  % (1428)Instruction limit reached!
% 2.01/0.63  % (1428)------------------------------
% 2.01/0.63  % (1428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (1428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (1428)Termination reason: Unknown
% 2.01/0.63  % (1428)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (1428)Memory used [KB]: 2558
% 2.01/0.63  % (1428)Time elapsed: 0.205 s
% 2.01/0.63  % (1428)Instructions burned: 52 (million)
% 2.01/0.63  % (1428)------------------------------
% 2.01/0.63  % (1428)------------------------------
% 2.01/0.63  % (1420)Instruction limit reached!
% 2.01/0.63  % (1420)------------------------------
% 2.01/0.63  % (1420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (1420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (1420)Termination reason: Unknown
% 2.01/0.63  % (1420)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (1420)Memory used [KB]: 7036
% 2.01/0.63  % (1420)Time elapsed: 0.189 s
% 2.01/0.63  % (1420)Instructions burned: 50 (million)
% 2.01/0.63  % (1420)------------------------------
% 2.01/0.63  % (1420)------------------------------
% 2.01/0.63  % (1424)Instruction limit reached!
% 2.01/0.63  % (1424)------------------------------
% 2.01/0.63  % (1424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (1423)Instruction limit reached!
% 2.01/0.63  % (1423)------------------------------
% 2.01/0.63  % (1423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (1442)First to succeed.
% 2.01/0.64  % (1449)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.01/0.64  % (1424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (1424)Termination reason: Unknown
% 2.01/0.64  % (1424)Termination phase: Saturation
% 2.01/0.64  
% 2.01/0.64  % (1424)Memory used [KB]: 6652
% 2.01/0.64  % (1424)Time elapsed: 0.191 s
% 2.01/0.64  % (1424)Instructions burned: 48 (million)
% 2.01/0.64  % (1424)------------------------------
% 2.01/0.64  % (1424)------------------------------
% 2.12/0.64  % (1423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (1423)Termination reason: Unknown
% 2.12/0.64  % (1423)Termination phase: Saturation
% 2.12/0.64  
% 2.12/0.64  % (1423)Memory used [KB]: 6652
% 2.12/0.64  % (1423)Time elapsed: 0.026 s
% 2.12/0.64  % (1423)Instructions burned: 52 (million)
% 2.12/0.64  % (1423)------------------------------
% 2.12/0.64  % (1423)------------------------------
% 2.12/0.64  % (1425)Instruction limit reached!
% 2.12/0.64  % (1425)------------------------------
% 2.12/0.64  % (1425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64  % (1425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (1425)Termination reason: Unknown
% 2.12/0.64  % (1425)Termination phase: Finite model building preprocessing
% 2.12/0.64  
% 2.12/0.64  % (1425)Memory used [KB]: 2942
% 2.12/0.64  % (1425)Time elapsed: 0.026 s
% 2.12/0.64  % (1425)Instructions burned: 53 (million)
% 2.12/0.64  % (1425)------------------------------
% 2.12/0.64  % (1425)------------------------------
% 2.12/0.66  % (1422)Instruction limit reached!
% 2.12/0.66  % (1422)------------------------------
% 2.12/0.66  % (1422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66  % (1422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66  % (1422)Termination reason: Unknown
% 2.12/0.66  % (1422)Termination phase: Saturation
% 2.12/0.66  
% 2.12/0.66  % (1422)Memory used [KB]: 6780
% 2.12/0.66  % (1422)Time elapsed: 0.212 s
% 2.12/0.66  % (1422)Instructions burned: 52 (million)
% 2.12/0.66  % (1422)------------------------------
% 2.12/0.66  % (1422)------------------------------
% 2.12/0.66  % (1433)Instruction limit reached!
% 2.12/0.66  % (1433)------------------------------
% 2.12/0.66  % (1433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66  % (1442)Refutation found. Thanks to Tanya!
% 2.12/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.12/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.66  % (1442)------------------------------
% 2.12/0.66  % (1442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66  % (1442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66  % (1442)Termination reason: Refutation
% 2.12/0.66  
% 2.12/0.66  % (1442)Memory used [KB]: 6908
% 2.12/0.66  % (1442)Time elapsed: 0.189 s
% 2.12/0.66  % (1442)Instructions burned: 52 (million)
% 2.12/0.66  % (1442)------------------------------
% 2.12/0.66  % (1442)------------------------------
% 2.12/0.66  % (1418)Success in time 0.312 s
%------------------------------------------------------------------------------