TSTP Solution File: LCL097-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n014.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 17:46:51 EDT 2022

% Result   : Unsatisfiable 1.79s 0.59s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f501,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f111]) ).

fof(f111,plain,
    ! [X10,X11,X9,X12,X13] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X9,X10),X11),X12),equivalent(equivalent(equivalent(X9,X13),X11),equivalent(equivalent(X10,X13),X12)))),
    inference(resolution,[],[f34,f22]) ).

fof(f22,plain,
    ! [X8,X6,X9,X7] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9))
      | is_a_theorem(equivalent(equivalent(X7,X8),X9)) ),
    inference(resolution,[],[f14,f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f14,plain,
    ! [X3,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6))),
    inference(resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))
      | is_a_theorem(X4) ),
    inference(resolution,[],[f6,f5]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).

fof(f11,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(resolution,[],[f10,f7]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).

fof(f34,plain,
    ! [X10,X11,X8,X6,X9,X7,X12] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12)),equivalent(equivalent(X7,X8),equivalent(equivalent(X10,X11),X12)))),
    inference(resolution,[],[f17,f10]) ).

fof(f17,plain,
    ! [X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X4,X5),equivalent(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X4),equivalent(equivalent(X7,X8),X5)))),
    inference(resolution,[],[f12,f10]) ).

fof(f12,plain,
    ! [X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(X2,X5),X4)))),
    inference(resolution,[],[f10,f6]) ).

fof(f8,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % 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 : n014.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 01:36:03 EDT 2022
% 0.20/0.34  % CPUTime    : 
% 0.20/0.51  % (30945)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 (3000ds/498Mi)
% 0.20/0.52  % (30937)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 (3000ds/68Mi)
% 0.20/0.52  % (30935)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52  % (30929)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (30948)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (30923)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 (3000ds/191324Mi)
% 0.20/0.53  % (30925)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 (3000ds/37Mi)
% 0.20/0.53  % (30927)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (30940)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (30931)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53  % (30934)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.53  % (30931)Instruction limit reached!
% 0.20/0.53  % (30931)------------------------------
% 0.20/0.53  % (30931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (30931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30931)Termination reason: Unknown
% 0.20/0.53  % (30931)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (30931)Memory used [KB]: 5373
% 0.20/0.53  % (30931)Time elapsed: 0.124 s
% 0.20/0.53  % (30931)Instructions burned: 3 (million)
% 0.20/0.53  % (30931)------------------------------
% 0.20/0.53  % (30931)------------------------------
% 0.20/0.53  % (30930)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.53  % (30932)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 (3000ds/51Mi)
% 0.20/0.54  % (30928)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 (3000ds/48Mi)
% 0.20/0.54  % (30933)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54  % (30924)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54  % (30924)Refutation not found, incomplete strategy% (30924)------------------------------
% 0.20/0.54  % (30924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (30924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (30924)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (30924)Memory used [KB]: 5373
% 0.20/0.54  % (30924)Time elapsed: 0.134 s
% 0.20/0.54  % (30924)Instructions burned: 1 (million)
% 0.20/0.54  % (30924)------------------------------
% 0.20/0.54  % (30924)------------------------------
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (30947)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (30946)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 (3000ds/467Mi)
% 0.20/0.54  % (30950)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 (3000ds/177Mi)
% 0.20/0.54  % (30949)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 (3000ds/68Mi)
% 0.20/0.54  % (30944)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.55  % (30951)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (30926)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.55  % (30939)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 (3000ds/99Mi)
% 0.20/0.55  % (30938)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 (3000ds/75Mi)
% 0.20/0.55  % (30941)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (30936)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (30952)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 (3000ds/355Mi)
% 0.20/0.56  % (30943)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 (3000ds/176Mi)
% 0.20/0.56  % (30930)Instruction limit reached!
% 0.20/0.56  % (30930)------------------------------
% 0.20/0.56  % (30930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (30930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (30930)Termination reason: Unknown
% 0.20/0.56  % (30930)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (30930)Memory used [KB]: 5500
% 0.20/0.56  % (30930)Time elapsed: 0.138 s
% 0.20/0.56  % (30930)Instructions burned: 7 (million)
% 0.20/0.56  % (30930)------------------------------
% 0.20/0.56  % (30930)------------------------------
% 0.20/0.56  % (30942)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 (3000ds/100Mi)
% 1.79/0.58  % (30937)First to succeed.
% 1.79/0.59  % (30929)Instruction limit reached!
% 1.79/0.59  % (30929)------------------------------
% 1.79/0.59  % (30929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (30937)Refutation found. Thanks to Tanya!
% 1.79/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.79/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59  % (30937)------------------------------
% 1.79/0.59  % (30937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (30937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (30937)Termination reason: Refutation
% 1.79/0.59  
% 1.79/0.59  % (30937)Memory used [KB]: 6140
% 1.79/0.59  % (30937)Time elapsed: 0.034 s
% 1.79/0.59  % (30937)Instructions burned: 31 (million)
% 1.79/0.59  % (30937)------------------------------
% 1.79/0.59  % (30937)------------------------------
% 1.79/0.59  % (30922)Success in time 0.233 s
%------------------------------------------------------------------------------