TSTP Solution File: LCL756-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL756-1 : 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 : n003.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 17:49:52 EDT 2022

% Result   : Unsatisfiable 1.47s 0.61s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   1 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   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   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f946,plain,
    $false,
    inference(resolution,[],[f804,f724]) ).

fof(f724,axiom,
    ! [X0,X1] : c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X0),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f804,plain,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    inference(definition_unfolding,[],[f725,f101,f101]) ).

fof(f101,axiom,
    ! [X11] : c_Suc(X11) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).

fof(f725,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LCL756-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 02:36:37 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.52  % (29316)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)
% 0.21/0.52  % (29300)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (29308)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)
% 0.21/0.54  % (29300)Instruction limit reached!
% 0.21/0.54  % (29300)------------------------------
% 0.21/0.54  % (29300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (29318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (29295)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)
% 0.21/0.54  % (29300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (29300)Termination reason: Unknown
% 0.21/0.54  % (29300)Termination phase: Property scanning
% 0.21/0.54  
% 0.21/0.54  % (29300)Memory used [KB]: 1663
% 0.21/0.54  % (29300)Time elapsed: 0.006 s
% 0.21/0.54  % (29300)Instructions burned: 9 (million)
% 0.21/0.54  % (29300)------------------------------
% 0.21/0.54  % (29300)------------------------------
% 0.21/0.54  % (29322)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)
% 0.21/0.55  % (29310)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (29306)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55  % (29298)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)
% 0.21/0.56  % (29302)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)
% 0.21/0.56  % (29311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58  % (29319)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)
% 0.21/0.58  % (29303)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.59  % (29293)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)
% 1.33/0.59  % (29321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.59  % (29301)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.59  % (29301)Instruction limit reached!
% 1.33/0.59  % (29301)------------------------------
% 1.33/0.59  % (29301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.59  % (29301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.59  % (29301)Termination reason: Unknown
% 1.33/0.59  % (29301)Termination phase: Function definition elimination
% 1.33/0.59  
% 1.33/0.59  % (29301)Memory used [KB]: 1663
% 1.33/0.59  % (29301)Time elapsed: 0.003 s
% 1.33/0.59  % (29301)Instructions burned: 3 (million)
% 1.33/0.59  % (29301)------------------------------
% 1.33/0.59  % (29301)------------------------------
% 1.33/0.60  % (29316)First to succeed.
% 1.33/0.60  % (29295)Instruction limit reached!
% 1.33/0.60  % (29295)------------------------------
% 1.33/0.60  % (29295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (29295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (29295)Termination reason: Unknown
% 1.33/0.60  % (29295)Termination phase: Saturation
% 1.33/0.60  
% 1.33/0.60  % (29295)Memory used [KB]: 1918
% 1.33/0.60  % (29295)Time elapsed: 0.031 s
% 1.33/0.60  % (29295)Instructions burned: 38 (million)
% 1.33/0.60  % (29295)------------------------------
% 1.33/0.60  % (29295)------------------------------
% 1.33/0.60  % (29304)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)
% 1.33/0.60  % (29312)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)
% 1.47/0.60  % (29317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.60  % (29309)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)
% 1.47/0.60  % (29294)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)
% 1.47/0.61  % (29320)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)
% 1.47/0.61  % (29308)Also succeeded, but the first one will report.
% 1.47/0.61  % (29316)Refutation found. Thanks to Tanya!
% 1.47/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.61  % (29316)------------------------------
% 1.47/0.61  % (29316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (29316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (29316)Termination reason: Refutation
% 1.47/0.61  
% 1.47/0.61  % (29316)Memory used [KB]: 6652
% 1.47/0.61  % (29316)Time elapsed: 0.159 s
% 1.47/0.61  % (29316)Instructions burned: 61 (million)
% 1.47/0.61  % (29316)------------------------------
% 1.47/0.61  % (29316)------------------------------
% 1.47/0.61  % (29266)Success in time 0.238 s
%------------------------------------------------------------------------------