TSTP Solution File: SET859-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET859-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n002.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 18:25:56 EDT 2022

% Result   : Unsatisfiable 2.16s 0.63s
% Output   : Refutation 2.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1842,plain,
    $false,
    inference(subsumption_resolution,[],[f1839,f1368]) ).

fof(f1368,axiom,
    ~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1839,plain,
    c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
    inference(resolution,[],[f1838,f1359]) ).

fof(f1359,axiom,
    ! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f1838,plain,
    ! [X10] :
      ( ~ c_lessequals(X10,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X10,v_m,tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1358,f1367]) ).

fof(f1367,axiom,
    c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1358,axiom,
    ! [X2,X36,X15,X13] :
      ( ~ c_lessequals(X15,X36,tc_set(X2))
      | c_lessequals(X13,X36,tc_set(X2))
      | ~ c_lessequals(X13,X15,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET859-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 14:38:29 EDT 2022
% 0.15/0.31  % CPUTime    : 
% 0.15/0.49  % (32069)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)
% 0.15/0.49  % (32071)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49  % (32077)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)
% 0.15/0.49  % (32071)Instruction limit reached!
% 0.15/0.49  % (32071)------------------------------
% 0.15/0.49  % (32071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (32071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (32071)Termination reason: Unknown
% 0.15/0.49  % (32071)Termination phase: shuffling
% 0.15/0.49  
% 0.15/0.49  % (32071)Memory used [KB]: 1791
% 0.15/0.49  % (32071)Time elapsed: 0.005 s
% 0.15/0.49  % (32071)Instructions burned: 2 (million)
% 0.15/0.49  % (32071)------------------------------
% 0.15/0.49  % (32071)------------------------------
% 0.15/0.50  % (32079)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)
% 0.15/0.50  % (32087)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.51  % (32085)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)
% 0.15/0.52  % (32074)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)
% 0.15/0.53  % (32070)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.53  % (32075)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.53  % (32068)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)
% 0.15/0.54  % (32063)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)
% 0.15/0.54  % (32065)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)
% 0.15/0.54  % (32082)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)
% 0.15/0.54  % (32088)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.54  % (32084)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.54  % (32080)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.54  % (32066)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)
% 0.15/0.54  % (32067)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.55  % (32073)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.55  % (32072)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)
% 0.15/0.55  % (32092)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)
% 0.15/0.55  % (32091)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.55  % (32070)Instruction limit reached!
% 0.15/0.55  % (32070)------------------------------
% 0.15/0.55  % (32070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (32070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (32070)Termination reason: Unknown
% 0.15/0.55  % (32070)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (32070)Memory used [KB]: 6524
% 0.15/0.55  % (32070)Time elapsed: 0.008 s
% 0.15/0.55  % (32070)Instructions burned: 7 (million)
% 0.15/0.55  % (32070)------------------------------
% 0.15/0.55  % (32070)------------------------------
% 0.15/0.56  % (32089)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)
% 0.15/0.56  % (32081)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.56  % (32090)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)
% 0.15/0.56  % (32076)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.57  % (32086)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)
% 0.15/0.57  % (32083)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)
% 0.15/0.57  % (32064)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)
% 0.15/0.58  % (32078)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)
% 0.15/0.58  % (32069)Instruction limit reached!
% 0.15/0.58  % (32069)------------------------------
% 0.15/0.58  % (32069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (32069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (32069)Termination reason: Unknown
% 0.15/0.58  % (32069)Termination phase: Finite model building preprocessing
% 0.15/0.58  
% 0.15/0.58  % (32069)Memory used [KB]: 2942
% 0.15/0.58  % (32069)Time elapsed: 0.041 s
% 0.15/0.58  % (32069)Instructions burned: 52 (million)
% 0.15/0.58  % (32069)------------------------------
% 0.15/0.58  % (32069)------------------------------
% 0.15/0.62  % (32082)First to succeed.
% 2.16/0.63  % (32082)Refutation found. Thanks to Tanya!
% 2.16/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.16/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.63  % (32082)------------------------------
% 2.16/0.63  % (32082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63  % (32082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63  % (32082)Termination reason: Refutation
% 2.16/0.63  
% 2.16/0.63  % (32082)Memory used [KB]: 2430
% 2.16/0.63  % (32082)Time elapsed: 0.233 s
% 2.16/0.63  % (32082)Instructions burned: 29 (million)
% 2.16/0.63  % (32082)------------------------------
% 2.16/0.63  % (32082)------------------------------
% 2.16/0.63  % (32062)Success in time 0.309 s
%------------------------------------------------------------------------------