TSTP Solution File: SWV242-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV242-1 : 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 : n020.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 18:55:55 EDT 2022

% Result   : Unsatisfiable 2.09s 0.66s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1933,plain,
    $false,
    inference(subsumption_resolution,[],[f1932,f1387]) ).

fof(f1387,axiom,
    ! [X1,X12,X13] : c_lessequals(X12,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).

fof(f1932,plain,
    ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f1906,f1889]) ).

fof(f1889,plain,
    ! [X7] :
      ( c_lessequals(v_G,c_Message_Oanalz(X7),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_G_H,X7,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1705,f1390]) ).

fof(f1390,axiom,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1705,plain,
    ! [X21,X19,X20] :
      ( ~ c_lessequals(X19,c_Message_Oanalz(X21),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X21,X20,tc_set(tc_Message_Omsg))
      | c_lessequals(X19,c_Message_Oanalz(X20),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1389,f1372]) ).

fof(f1372,axiom,
    ! [X55,X20] :
      ( c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f1389,axiom,
    ! [X1,X12,X32,X13] :
      ( ~ c_lessequals(X13,X32,tc_set(X1))
      | c_lessequals(X12,X32,tc_set(X1))
      | ~ c_lessequals(X12,X13,tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f1906,plain,
    ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(subsumption_resolution,[],[f1901,f1388]) ).

fof(f1388,axiom,
    ! [X1,X12,X13] : c_lessequals(X13,c_union(X12,X13,X1),tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).

fof(f1901,plain,
    ( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1890,f1392]) ).

fof(f1392,axiom,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1890,plain,
    ! [X8] :
      ( c_lessequals(v_H,c_Message_Oanalz(X8),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H_H,X8,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1705,f1391]) ).

fof(f1391,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV242-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 19:10:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (30261)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)
% 0.20/0.52  % (30253)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)
% 0.20/0.52  % (30252)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (30265)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)
% 0.20/0.53  % (30257)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (30248)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)
% 0.20/0.54  % (30240)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)
% 0.20/0.54  % (30241)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)
% 0.20/0.54  % (30243)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (30239)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)
% 0.20/0.55  % (30246)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (30267)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (30268)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)
% 0.20/0.55  % (30244)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)
% 0.20/0.55  % (30242)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)
% 0.20/0.56  % (30262)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)
% 0.20/0.56  % (30255)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)
% 0.20/0.56  % (30263)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (30256)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56  % (30254)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)
% 0.20/0.56  % (30260)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56  % (30259)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)
% 0.20/0.57  % (30266)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)
% 0.20/0.57  % (30250)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)
% 0.20/0.57  % (30247)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (30247)Instruction limit reached!
% 0.20/0.57  % (30247)------------------------------
% 0.20/0.57  % (30247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (30247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30247)Termination reason: Unknown
% 0.20/0.57  % (30247)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (30247)Memory used [KB]: 1791
% 0.20/0.57  % (30247)Time elapsed: 0.002 s
% 0.20/0.57  % (30247)Instructions burned: 2 (million)
% 0.20/0.57  % (30247)------------------------------
% 0.20/0.57  % (30247)------------------------------
% 0.20/0.57  % (30264)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57  % (30246)Instruction limit reached!
% 0.20/0.57  % (30246)------------------------------
% 0.20/0.57  % (30246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (30246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30246)Termination reason: Unknown
% 0.20/0.57  % (30246)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (30246)Memory used [KB]: 6652
% 0.20/0.57  % (30246)Time elapsed: 0.005 s
% 0.20/0.57  % (30246)Instructions burned: 7 (million)
% 0.20/0.57  % (30246)------------------------------
% 0.20/0.57  % (30246)------------------------------
% 0.20/0.58  % (30249)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.58  % (30251)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58  % (30245)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)
% 0.20/0.58  % (30258)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)
% 1.81/0.62  % (30248)Instruction limit reached!
% 1.81/0.62  % (30248)------------------------------
% 1.81/0.62  % (30248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63  % (30241)Instruction limit reached!
% 1.81/0.63  % (30241)------------------------------
% 1.81/0.63  % (30241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63  % (30241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63  % (30241)Termination reason: Unknown
% 1.81/0.63  % (30241)Termination phase: Saturation
% 1.81/0.63  
% 1.81/0.63  % (30241)Memory used [KB]: 2430
% 1.81/0.63  % (30241)Time elapsed: 0.206 s
% 1.81/0.63  % (30241)Instructions burned: 37 (million)
% 1.81/0.63  % (30241)------------------------------
% 1.81/0.63  % (30241)------------------------------
% 1.81/0.63  % (30248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63  % (30248)Termination reason: Unknown
% 1.81/0.63  % (30248)Termination phase: Saturation
% 1.81/0.63  
% 1.81/0.63  % (30248)Memory used [KB]: 3070
% 1.81/0.63  % (30248)Time elapsed: 0.185 s
% 1.81/0.63  % (30248)Instructions burned: 51 (million)
% 1.81/0.63  % (30248)------------------------------
% 1.81/0.63  % (30248)------------------------------
% 1.81/0.63  % (30256)Instruction limit reached!
% 1.81/0.63  % (30256)------------------------------
% 1.81/0.63  % (30256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63  % (30256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63  % (30256)Termination reason: Unknown
% 1.81/0.63  % (30256)Termination phase: Finite model building preprocessing
% 1.81/0.63  
% 1.81/0.63  % (30256)Memory used [KB]: 3070
% 1.81/0.63  % (30256)Time elapsed: 0.029 s
% 1.81/0.63  % (30256)Instructions burned: 61 (million)
% 1.81/0.63  % (30256)------------------------------
% 1.81/0.63  % (30256)------------------------------
% 1.81/0.63  % (30253)Instruction limit reached!
% 1.81/0.63  % (30253)------------------------------
% 1.81/0.63  % (30253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63  % (30253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63  % (30253)Termination reason: Unknown
% 1.81/0.63  % (30253)Termination phase: Saturation
% 1.81/0.63  
% 1.81/0.63  % (30253)Memory used [KB]: 8315
% 1.81/0.63  % (30253)Time elapsed: 0.057 s
% 1.81/0.63  % (30253)Instructions burned: 69 (million)
% 1.81/0.63  % (30253)------------------------------
% 1.81/0.63  % (30253)------------------------------
% 2.09/0.64  % (30242)Instruction limit reached!
% 2.09/0.64  % (30242)------------------------------
% 2.09/0.64  % (30242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (30242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (30242)Termination reason: Unknown
% 2.09/0.64  % (30242)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (30242)Memory used [KB]: 7291
% 2.09/0.64  % (30242)Time elapsed: 0.220 s
% 2.09/0.64  % (30242)Instructions burned: 51 (million)
% 2.09/0.64  % (30242)------------------------------
% 2.09/0.64  % (30242)------------------------------
% 2.09/0.64  % (30258)First to succeed.
% 2.09/0.65  % (30240)Instruction limit reached!
% 2.09/0.65  % (30240)------------------------------
% 2.09/0.65  % (30240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (30240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (30240)Termination reason: Unknown
% 2.09/0.65  % (30240)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (30240)Memory used [KB]: 7419
% 2.09/0.65  % (30240)Time elapsed: 0.209 s
% 2.09/0.65  % (30240)Instructions burned: 50 (million)
% 2.09/0.65  % (30240)------------------------------
% 2.09/0.65  % (30240)------------------------------
% 2.09/0.65  % (30243)Instruction limit reached!
% 2.09/0.65  % (30243)------------------------------
% 2.09/0.65  % (30243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (30243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (30243)Termination reason: Unknown
% 2.09/0.65  % (30243)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (30243)Memory used [KB]: 7164
% 2.09/0.65  % (30243)Time elapsed: 0.231 s
% 2.09/0.65  % (30243)Instructions burned: 51 (million)
% 2.09/0.65  % (30243)------------------------------
% 2.09/0.65  % (30243)------------------------------
% 2.09/0.65  % (30265)Instruction limit reached!
% 2.09/0.65  % (30265)------------------------------
% 2.09/0.65  % (30265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (30265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (30265)Termination reason: Unknown
% 2.09/0.65  % (30265)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (30265)Memory used [KB]: 8187
% 2.09/0.65  % (30265)Time elapsed: 0.066 s
% 2.09/0.65  % (30265)Instructions burned: 68 (million)
% 2.09/0.66  % (30265)------------------------------
% 2.09/0.66  % (30265)------------------------------
% 2.09/0.66  % (30258)Refutation found. Thanks to Tanya!
% 2.09/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.09/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.66  % (30258)------------------------------
% 2.09/0.66  % (30258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66  % (30258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66  % (30258)Termination reason: Refutation
% 2.09/0.66  
% 2.09/0.66  % (30258)Memory used [KB]: 2430
% 2.09/0.66  % (30258)Time elapsed: 0.230 s
% 2.09/0.66  % (30258)Instructions burned: 40 (million)
% 2.09/0.66  % (30258)------------------------------
% 2.09/0.66  % (30258)------------------------------
% 2.09/0.66  % (30238)Success in time 0.33 s
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