TSTP Solution File: LCL206-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL206-3 : TPTP v8.1.0. Bugfixed v2.4.1.
% 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 : n029.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 17:47:18 EDT 2022

% Result   : Unsatisfiable 0.17s 0.57s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  24 unt;   0 def)
%            Number of atoms       :   56 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  22   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f340,plain,
    $false,
    inference(subsumption_resolution,[],[f334,f17]) ).

fof(f17,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f13,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f334,plain,
    ~ theorem(or(not(q),or(not(p),q))),
    inference(resolution,[],[f282,f254]) ).

fof(f254,plain,
    ~ theorem(or(not(q),not(not(or(not(p),q))))),
    inference(resolution,[],[f244,f15]) ).

fof(f15,plain,
    ~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))),
    inference(definition_unfolding,[],[f9,f6,f6,f6]) ).

fof(f9,axiom,
    ~ theorem(implies(not(implies(p,q)),implies(not(p),not(q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f244,plain,
    ! [X8,X9,X7] :
      ( theorem(or(X8,or(X9,X7)))
      | ~ theorem(or(X7,X8)) ),
    inference(resolution,[],[f186,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f43,f10]) ).

fof(f10,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ theorem(implies(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f43,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f186,plain,
    ! [X10,X11,X12] :
      ( theorem(or(X12,or(X11,X10)))
      | ~ theorem(or(X10,X11)) ),
    inference(resolution,[],[f92,f23]) ).

fof(f23,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f12,f7]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | ~ theorem(X0)
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f59,f10]) ).

fof(f59,plain,
    ! [X14,X12,X13] :
      ( theorem(or(X12,or(X13,X14)))
      | ~ theorem(or(X12,X14)) ),
    inference(resolution,[],[f52,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f10,f17]) ).

fof(f282,plain,
    ! [X46,X45] :
      ( theorem(or(X45,not(not(X46))))
      | ~ theorem(or(X45,X46)) ),
    inference(resolution,[],[f63,f74]) ).

fof(f74,plain,
    ! [X1] : theorem(or(X1,not(X1))),
    inference(resolution,[],[f68,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f23,f10]) ).

fof(f68,plain,
    ! [X4] : theorem(or(not(X4),X4)),
    inference(resolution,[],[f54,f20]) ).

fof(f20,plain,
    ! [X2] :
      ( ~ theorem(or(X2,X2))
      | theorem(X2) ),
    inference(resolution,[],[f10,f18]) ).

fof(f18,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f14,f7]) ).

fof(f14,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f54,plain,
    ! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
    inference(resolution,[],[f52,f17]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f60,f10]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f47,f10]) ).

fof(f47,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f11,f7]) ).

fof(f11,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : LCL206-3 : TPTP v8.1.0. Bugfixed v2.4.1.
% 0.09/0.12  % 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 : n029.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 01:53:42 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.17/0.47  % (11578)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)
% 0.17/0.47  TRYING [1]
% 0.17/0.47  TRYING [2]
% 0.17/0.48  TRYING [3]
% 0.17/0.48  % (11586)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)
% 0.17/0.49  % (11595)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)
% 0.17/0.49  % (11587)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)
% 0.17/0.49  TRYING [4]
% 0.17/0.49  % (11594)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)
% 0.17/0.50  % (11579)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.52  % (11573)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)
% 0.17/0.52  % (11572)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)
% 0.17/0.52  % (11573)Refutation not found, incomplete strategy% (11573)------------------------------
% 0.17/0.52  % (11573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (11575)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)
% 0.17/0.52  % (11574)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)
% 0.17/0.52  % (11579)Instruction limit reached!
% 0.17/0.52  % (11579)------------------------------
% 0.17/0.52  % (11579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (11579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (11579)Termination reason: Unknown
% 0.17/0.52  % (11579)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (11579)Memory used [KB]: 5500
% 0.17/0.52  % (11579)Time elapsed: 0.083 s
% 0.17/0.52  % (11579)Instructions burned: 7 (million)
% 0.17/0.52  % (11579)------------------------------
% 0.17/0.52  % (11579)------------------------------
% 0.17/0.52  TRYING [1]
% 0.17/0.52  % (11576)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.53  % (11577)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)
% 0.17/0.53  % (11573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (11573)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53  
% 0.17/0.53  % (11573)Memory used [KB]: 5373
% 0.17/0.53  % (11573)Time elapsed: 0.131 s
% 0.17/0.53  % (11573)Instructions burned: 1 (million)
% 0.17/0.53  % (11573)------------------------------
% 0.17/0.53  % (11573)------------------------------
% 0.17/0.53  TRYING [2]
% 0.17/0.53  % (11593)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.17/0.53  TRYING [3]
% 0.17/0.54  % (11578)Instruction limit reached!
% 0.17/0.54  % (11578)------------------------------
% 0.17/0.54  % (11578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (11578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (11578)Termination reason: Unknown
% 0.17/0.54  % (11578)Termination phase: Finite model building SAT solving
% 0.17/0.54  
% 0.17/0.54  % (11578)Memory used [KB]: 7036
% 0.17/0.54  % (11578)Time elapsed: 0.149 s
% 0.17/0.54  % (11578)Instructions burned: 51 (million)
% 0.17/0.54  % (11578)------------------------------
% 0.17/0.54  % (11578)------------------------------
% 0.17/0.54  % (11581)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)
% 0.17/0.54  % (11585)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.17/0.54  % (11592)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)
% 0.17/0.54  % (11580)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.54  % (11589)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.17/0.54  TRYING [1]
% 0.17/0.54  TRYING [2]
% 0.17/0.54  % (11591)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)
% 0.17/0.54  % (11590)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.17/0.54  % (11588)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)
% 0.17/0.54  TRYING [3]
% 0.17/0.55  % (11584)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.17/0.55  % (11583)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)
% 0.17/0.55  % (11597)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.17/0.55  % (11582)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.55  % (11600)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.17/0.55  % (11599)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)
% 0.17/0.56  % (11598)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)
% 0.17/0.56  % (11601)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)
% 0.17/0.56  % (11596)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.17/0.56  % (11580)Instruction limit reached!
% 0.17/0.56  % (11580)------------------------------
% 0.17/0.56  % (11580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56  % (11580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56  % (11580)Termination reason: Unknown
% 0.17/0.56  % (11580)Termination phase: Saturation
% 0.17/0.56  
% 0.17/0.56  % (11580)Memory used [KB]: 5373
% 0.17/0.56  % (11580)Time elapsed: 0.162 s
% 0.17/0.56  % (11580)Instructions burned: 2 (million)
% 0.17/0.56  % (11580)------------------------------
% 0.17/0.56  % (11580)------------------------------
% 0.17/0.57  % (11592)First to succeed.
% 0.17/0.57  TRYING [4]
% 0.17/0.57  % (11592)Refutation found. Thanks to Tanya!
% 0.17/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.57  % (11592)------------------------------
% 0.17/0.57  % (11592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57  % (11592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57  % (11592)Termination reason: Refutation
% 0.17/0.57  
% 0.17/0.57  % (11592)Memory used [KB]: 5500
% 0.17/0.57  % (11592)Time elapsed: 0.194 s
% 0.17/0.57  % (11592)Instructions burned: 14 (million)
% 0.17/0.57  % (11592)------------------------------
% 0.17/0.57  % (11592)------------------------------
% 0.17/0.57  % (11571)Success in time 0.241 s
%------------------------------------------------------------------------------