TSTP Solution File: GEO083-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO083-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n013.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 16:11:46 EDT 2022

% Result   : Unsatisfiable 1.47s 0.56s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   37 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  18   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f221,plain,
    $false,
    inference(subsumption_resolution,[],[f220,f73]) ).

fof(f73,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
    inference(resolution,[],[f56,f66]) ).

fof(f66,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
    inference(resolution,[],[f3,f52]) ).

fof(f52,axiom,
    ~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_70) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | ~ incident_c(ax0_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).

fof(f56,plain,
    ! [X2,X3,X1] :
      ( incident_c(X3,sum(X1,X2))
      | ~ incident_c(X3,X1) ),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ incident_c(X3,X1)
      | incident_c(X3,X0)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_5) ).

fof(f220,plain,
    incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
    inference(subsumption_resolution,[],[f218,f77]) ).

fof(f77,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
    inference(resolution,[],[f74,f72]) ).

fof(f72,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
    inference(resolution,[],[f54,f66]) ).

fof(f54,plain,
    ! [X2,X3,X1] :
      ( incident_c(X3,sum(X1,X2))
      | ~ incident_c(X3,X2) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ incident_c(X3,X2)
      | incident_c(X3,X0)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_6) ).

fof(f74,plain,
    ! [X0] :
      ( incident_c(X0,sk16)
      | ~ incident_c(X0,sk15) ),
    inference(resolution,[],[f1,f49]) ).

fof(f49,axiom,
    part_of(sk15,sk16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_67) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ part_of(X0,X1)
      | incident_c(X2,X1)
      | ~ incident_c(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).

fof(f218,plain,
    ( incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15)
    | incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14) ),
    inference(resolution,[],[f53,f65]) ).

fof(f65,plain,
    incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk15)),
    inference(resolution,[],[f2,f52]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | incident_c(ax0_sk1(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).

fof(f53,plain,
    ! [X2,X3,X1] :
      ( ~ incident_c(X3,sum(X1,X2))
      | incident_c(X3,X1)
      | incident_c(X3,X2) ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( sum(X1,X2) != X0
      | ~ incident_c(X3,X0)
      | incident_c(X3,X2)
      | incident_c(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO083-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % 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 : n013.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   : Mon Aug 29 21:08:17 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (15417)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)
% 0.19/0.46  % (15409)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (15409)Instruction limit reached!
% 0.19/0.47  % (15409)------------------------------
% 0.19/0.47  % (15409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (15409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (15409)Termination reason: Unknown
% 0.19/0.47  % (15409)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (15409)Memory used [KB]: 5500
% 0.19/0.47  % (15409)Time elapsed: 0.011 s
% 0.19/0.47  % (15409)Instructions burned: 7 (million)
% 0.19/0.47  % (15409)------------------------------
% 0.19/0.47  % (15409)------------------------------
% 0.19/0.49  % (15402)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)
% 0.19/0.49  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.50  % (15425)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)
% 0.19/0.50  % (15415)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (15406)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (15405)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)
% 0.19/0.50  % (15416)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)
% 0.19/0.50  % (15418)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)
% 0.19/0.51  % (15410)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (15410)Instruction limit reached!
% 0.19/0.51  % (15410)------------------------------
% 0.19/0.51  % (15410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15410)Termination reason: Unknown
% 0.19/0.51  % (15410)Termination phase: Blocked clause elimination
% 0.19/0.51  
% 0.19/0.51  % (15410)Memory used [KB]: 895
% 0.19/0.51  % (15410)Time elapsed: 0.002 s
% 0.19/0.51  % (15410)Instructions burned: 2 (million)
% 0.19/0.51  % (15410)------------------------------
% 0.19/0.51  % (15410)------------------------------
% 0.19/0.51  % (15407)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)
% 1.26/0.52  % (15403)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)
% 1.26/0.52  % (15403)Refutation not found, incomplete strategy% (15403)------------------------------
% 1.26/0.52  % (15403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52  % (15403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52  % (15403)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52  
% 1.26/0.52  % (15403)Memory used [KB]: 5500
% 1.26/0.52  % (15403)Time elapsed: 0.115 s
% 1.26/0.52  % (15403)Instructions burned: 4 (million)
% 1.26/0.52  % (15403)------------------------------
% 1.26/0.52  % (15403)------------------------------
% 1.26/0.52  % (15408)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)
% 1.26/0.52  % (15420)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.26/0.52  % (15419)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.26/0.52  TRYING [1]
% 1.26/0.52  TRYING [2]
% 1.26/0.52  TRYING [1]
% 1.26/0.52  % (15422)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)
% 1.26/0.53  % (15404)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)
% 1.26/0.53  % (15417)Instruction limit reached!
% 1.26/0.53  % (15417)------------------------------
% 1.26/0.53  % (15417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.53  % (15411)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)
% 1.47/0.53  % (15417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.53  % (15417)Termination reason: Unknown
% 1.47/0.53  % (15417)Termination phase: Saturation
% 1.47/0.53  
% 1.47/0.53  % (15417)Memory used [KB]: 1918
% 1.47/0.53  % (15417)Time elapsed: 0.072 s
% 1.47/0.53  % (15417)Instructions burned: 75 (million)
% 1.47/0.53  % (15417)------------------------------
% 1.47/0.53  % (15417)------------------------------
% 1.47/0.53  % (15428)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)
% 1.47/0.53  TRYING [3]
% 1.47/0.53  % (15426)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.53  % (15427)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.53  % (15412)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.54  % (15413)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)
% 1.47/0.54  % (15424)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)
% 1.47/0.54  % (15414)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.54  % (15423)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.54  TRYING [4]
% 1.47/0.54  TRYING [2]
% 1.47/0.54  % (15421)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)
% 1.47/0.54  % (15429)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)
% 1.47/0.55  % (15431)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)
% 1.47/0.55  TRYING [3]
% 1.47/0.55  % (15430)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.55  % (15497)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)
% 1.47/0.56  % (15424)First to succeed.
% 1.47/0.56  % (15424)Refutation found. Thanks to Tanya!
% 1.47/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.47/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56  % (15424)------------------------------
% 1.47/0.56  % (15424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (15424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (15424)Termination reason: Refutation
% 1.47/0.56  
% 1.47/0.56  % (15424)Memory used [KB]: 1151
% 1.47/0.56  % (15424)Time elapsed: 0.157 s
% 1.47/0.56  % (15424)Instructions burned: 15 (million)
% 1.47/0.56  % (15424)------------------------------
% 1.47/0.56  % (15424)------------------------------
% 1.47/0.56  % (15399)Success in time 0.217 s
%------------------------------------------------------------------------------