TSTP Solution File: SWV246-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV246-1 : 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 : n028.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 18:55:57 EDT 2022

% Result   : Unsatisfiable 2.26s 0.69s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  25   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1885,plain,
    $false,
    inference(resolution,[],[f1876,f1869]) ).

fof(f1869,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
    inference(subsumption_resolution,[],[f1866,f1828]) ).

fof(f1828,plain,
    c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f1450,f1477]) ).

fof(f1477,plain,
    c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    inference(consistent_polarity_flipping,[],[f1403]) ).

fof(f1403,axiom,
    ~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1450,plain,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1) ),
    inference(consistent_polarity_flipping,[],[f1326]) ).

fof(f1326,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,X13,X1)
      | c_in(X4,c_union(X12,X13,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f1866,plain,
    ( ~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
    inference(resolution,[],[f1594,f1855]) ).

fof(f1855,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f1854,f1833]) ).

fof(f1833,plain,
    c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f1568,f1477]) ).

fof(f1568,plain,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X12,X1) ),
    inference(consistent_polarity_flipping,[],[f1327]) ).

fof(f1327,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,X12,X1)
      | c_in(X4,c_union(X12,X13,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f1854,plain,
    ( ~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f1848,f1714]) ).

fof(f1714,plain,
    ! [X56,X55,X53] :
      ( c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
      | ~ c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    inference(consistent_polarity_flipping,[],[f1362]) ).

fof(f1362,axiom,
    ! [X56,X55,X53] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
      | c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f1848,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(resolution,[],[f1527,f1629]) ).

fof(f1629,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    inference(consistent_polarity_flipping,[],[f1402]) ).

fof(f1402,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1527,plain,
    ! [X1,X4,X12,X13] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1)
      | ~ c_in(X4,X13,X1) ),
    inference(consistent_polarity_flipping,[],[f1328]) ).

fof(f1328,axiom,
    ! [X1,X4,X12,X13] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1)
      | c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f1594,plain,
    ! [X56,X55,X53] :
      ( c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
      | ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg) ),
    inference(consistent_polarity_flipping,[],[f1366]) ).

fof(f1366,axiom,
    ! [X56,X55,X53] :
      ( c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
      | c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).

fof(f1876,plain,
    ! [X0] : c_in(c_Message_Omsg_OMPair(X0,v_Y),v_G,tc_Message_Omsg),
    inference(resolution,[],[f1874,f1568]) ).

fof(f1874,plain,
    ! [X11] : c_in(c_Message_Omsg_OMPair(X11,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f1840,f1833]) ).

fof(f1840,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ),
    inference(resolution,[],[f1714,f1608]) ).

fof(f1608,plain,
    ! [X55,X53] :
      ( ~ c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
      | c_in(X53,X55,tc_Message_Omsg) ),
    inference(consistent_polarity_flipping,[],[f1377]) ).

fof(f1377,axiom,
    ! [X55,X53] :
      ( ~ c_in(X53,X55,tc_Message_Omsg)
      | c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV246-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % 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 : n028.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:17:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.57/0.61  % (12630)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)
% 1.57/0.61  % (12617)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.61  % (12636)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)
% 1.57/0.62  % (12641)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)
% 1.57/0.62  % (12619)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)
% 1.57/0.63  % (12633)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)
% 1.57/0.64  % (12628)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)
% 1.57/0.64  % (12618)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)
% 1.57/0.64  % (12623)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.65  % (12613)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)
% 1.57/0.65  % (12642)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.57/0.65  % (12640)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)
% 1.57/0.65  % (12615)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)
% 1.57/0.65  % (12616)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)
% 1.57/0.66  % (12622)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)
% 1.57/0.66  % (12614)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)
% 1.57/0.66  % (12629)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)
% 2.15/0.66  % (12624)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)
% 2.15/0.66  % (12625)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.15/0.66  % (12634)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)
% 2.15/0.66  % (12627)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.15/0.66  % (12637)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)
% 2.15/0.67  % (12621)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.15/0.67  % (12635)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.15/0.67  % (12621)Instruction limit reached!
% 2.15/0.67  % (12621)------------------------------
% 2.15/0.67  % (12621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (12621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (12621)Termination reason: Unknown
% 2.15/0.67  % (12621)Termination phase: shuffling
% 2.15/0.67  
% 2.15/0.67  % (12621)Memory used [KB]: 1791
% 2.15/0.67  % (12621)Time elapsed: 0.002 s
% 2.15/0.67  % (12621)Instructions burned: 2 (million)
% 2.15/0.67  % (12621)------------------------------
% 2.15/0.67  % (12621)------------------------------
% 2.15/0.67  % (12632)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.15/0.67  % (12620)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.15/0.67  % (12623)Instruction limit reached!
% 2.15/0.67  % (12623)------------------------------
% 2.15/0.67  % (12623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (12643)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)
% 2.15/0.67  % (12623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (12623)Termination reason: Unknown
% 2.15/0.67  % (12623)Termination phase: Saturation
% 2.15/0.67  
% 2.15/0.67  % (12623)Memory used [KB]: 7419
% 2.15/0.67  % (12623)Time elapsed: 0.208 s
% 2.15/0.67  % (12623)Instructions burned: 50 (million)
% 2.15/0.67  % (12623)------------------------------
% 2.15/0.67  % (12623)------------------------------
% 2.26/0.67  % (12631)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.26/0.68  % (12638)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.26/0.69  % (12633)First to succeed.
% 2.26/0.69  % (12633)Refutation found. Thanks to Tanya!
% 2.26/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.26/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.69  % (12633)------------------------------
% 2.26/0.69  % (12633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.69  % (12633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.69  % (12633)Termination reason: Refutation
% 2.26/0.69  
% 2.26/0.69  % (12633)Memory used [KB]: 2558
% 2.26/0.69  % (12633)Time elapsed: 0.228 s
% 2.26/0.69  % (12633)Instructions burned: 30 (million)
% 2.26/0.69  % (12633)------------------------------
% 2.26/0.69  % (12633)------------------------------
% 2.26/0.69  % (12611)Success in time 0.334 s
%------------------------------------------------------------------------------