TSTP Solution File: LCL076-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL076-3 : 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 : n001.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 17:46:46 EDT 2022

% Result   : Unsatisfiable 1.80s 0.62s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f414,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f241]) ).

fof(f241,plain,
    ! [X3] : is_a_theorem(implies(X3,not(not(X3)))),
    inference(resolution,[],[f166,f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),not(X1)))
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(literal_reordering,[],[f1]) ).

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

fof(f11,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

fof(f166,plain,
    ! [X5] : is_a_theorem(implies(not(not(X5)),X5)),
    inference(resolution,[],[f65,f34]) ).

fof(f34,plain,
    ! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
    inference(resolution,[],[f25,f16]) ).

fof(f16,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,implies(not(X5),not(X4))))
      | is_a_theorem(implies(X3,implies(X4,X5))) ),
    inference(resolution,[],[f12,f11]) ).

fof(f12,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X4,X5))
      | is_a_theorem(implies(X3,X5))
      | ~ is_a_theorem(implies(X3,X4)) ),
    inference(literal_reordering,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,X4))
      | ~ is_a_theorem(implies(X4,X5))
      | is_a_theorem(implies(X3,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f25,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f16,f9]) ).

fof(f9,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f31,f9]) ).

fof(f31,plain,
    ! [X8,X9,X7] :
      ( ~ is_a_theorem(implies(X7,X8))
      | ~ is_a_theorem(implies(X7,implies(X8,X9)))
      | is_a_theorem(implies(X7,X9)) ),
    inference(resolution,[],[f18,f10]) ).

fof(f18,plain,
    ! [X6,X4,X5] :
      ( is_a_theorem(implies(implies(X4,X5),implies(X4,X6)))
      | ~ is_a_theorem(implies(X4,implies(X5,X6))) ),
    inference(resolution,[],[f7,f10]) ).

fof(f7,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

fof(f8,plain,
    ~ is_a_theorem(implies(a,not(not(a)))),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL076-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n001.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 01:54:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (15829)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)
% 0.18/0.46  % (15821)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)
% 0.18/0.49  % (15813)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.50  % (15813)Instruction limit reached!
% 0.18/0.50  % (15813)------------------------------
% 0.18/0.50  % (15813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (15813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (15813)Termination reason: Unknown
% 0.18/0.50  % (15813)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (15813)Memory used [KB]: 5500
% 0.18/0.50  % (15813)Time elapsed: 0.067 s
% 0.18/0.50  % (15813)Instructions burned: 8 (million)
% 0.18/0.50  % (15813)------------------------------
% 0.18/0.50  % (15813)------------------------------
% 0.18/0.52  % (15812)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)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (15828)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)
% 1.52/0.54  % (15820)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)
% 1.52/0.55  TRYING [4]
% 1.52/0.56  % (15814)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.80/0.56  % (15814)Instruction limit reached!
% 1.80/0.56  % (15814)------------------------------
% 1.80/0.56  % (15814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.56  % (15814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.56  % (15814)Termination reason: Unknown
% 1.80/0.56  % (15814)Termination phase: Saturation
% 1.80/0.56  
% 1.80/0.56  % (15814)Memory used [KB]: 5373
% 1.80/0.56  % (15814)Time elapsed: 0.160 s
% 1.80/0.56  % (15814)Instructions burned: 2 (million)
% 1.80/0.56  % (15814)------------------------------
% 1.80/0.56  % (15814)------------------------------
% 1.80/0.57  % (15811)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)
% 1.80/0.58  % (15810)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.80/0.58  % (15808)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)
% 1.80/0.58  % (15806)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)
% 1.80/0.58  % (15807)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)
% 1.80/0.58  TRYING [1]
% 1.80/0.58  TRYING [2]
% 1.80/0.58  % (15807)Refutation not found, incomplete strategy% (15807)------------------------------
% 1.80/0.58  % (15807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.58  % (15807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.58  % (15807)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.58  
% 1.80/0.58  % (15807)Memory used [KB]: 5373
% 1.80/0.58  % (15807)Time elapsed: 0.178 s
% 1.80/0.58  % (15807)Instructions burned: 1 (million)
% 1.80/0.58  % (15807)------------------------------
% 1.80/0.58  % (15807)------------------------------
% 1.80/0.59  TRYING [3]
% 1.80/0.59  % (15821)Instruction limit reached!
% 1.80/0.59  % (15821)------------------------------
% 1.80/0.59  % (15821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59  % (15821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59  % (15821)Termination reason: Unknown
% 1.80/0.59  % (15821)Termination phase: Saturation
% 1.80/0.59  
% 1.80/0.59  % (15821)Memory used [KB]: 2302
% 1.80/0.59  % (15821)Time elapsed: 0.173 s
% 1.80/0.59  % (15821)Instructions burned: 75 (million)
% 1.80/0.59  % (15821)------------------------------
% 1.80/0.59  % (15821)------------------------------
% 1.80/0.59  % (15833)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)
% 1.80/0.59  % (15809)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)
% 1.80/0.59  % (15835)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)
% 1.80/0.60  % (15825)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)
% 1.80/0.60  % (15824)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.80/0.60  % (15812)Instruction limit reached!
% 1.80/0.60  % (15812)------------------------------
% 1.80/0.60  % (15812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (15812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60  % (15812)Termination reason: Unknown
% 1.80/0.60  % (15812)Termination phase: Finite model building SAT solving
% 1.80/0.60  
% 1.80/0.60  % (15812)Memory used [KB]: 6780
% 1.80/0.60  % (15812)Time elapsed: 0.162 s
% 1.80/0.60  % (15812)Instructions burned: 51 (million)
% 1.80/0.60  % (15812)------------------------------
% 1.80/0.60  % (15812)------------------------------
% 1.80/0.60  % (15827)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.80/0.60  % (15830)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.80/0.61  % (15817)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)
% 1.80/0.61  % (15826)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)
% 1.80/0.61  % (15819)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.80/0.61  % (15832)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)
% 1.80/0.61  TRYING [4]
% 1.80/0.61  % (15831)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.80/0.62  % (15820)First to succeed.
% 1.80/0.62  % (15815)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)
% 1.80/0.62  % (15820)Refutation found. Thanks to Tanya!
% 1.80/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.80/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.62  % (15820)------------------------------
% 1.80/0.62  % (15820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62  % (15820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62  % (15820)Termination reason: Refutation
% 1.80/0.62  
% 1.80/0.62  % (15820)Memory used [KB]: 6012
% 1.80/0.62  % (15820)Time elapsed: 0.031 s
% 1.80/0.62  % (15820)Instructions burned: 40 (million)
% 1.80/0.62  % (15820)------------------------------
% 1.80/0.62  % (15820)------------------------------
% 1.80/0.62  % (15805)Success in time 0.284 s
%------------------------------------------------------------------------------