TSTP Solution File: LCL203-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL203-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n005.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 1.68s 0.63s
% Output   : Refutation 1.68s
% 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    :    5 (   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(f402,plain,
    $false,
    inference(subsumption_resolution,[],[f401,f17]) ).

fof(f17,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f10,f7]) ).

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

fof(f10,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/sandbox/benchmark/theBenchmark.p',implies_definition) ).

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

fof(f401,plain,
    ~ theorem(or(not(q),or(p,q))),
    inference(resolution,[],[f338,f256]) ).

fof(f256,plain,
    ~ theorem(or(not(q),not(not(or(p,q))))),
    inference(resolution,[],[f239,f15]) ).

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

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

fof(f239,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X1,or(X2,X0)))
      | ~ theorem(or(X0,X1)) ),
    inference(resolution,[],[f180,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f43,f11]) ).

fof(f11,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(implies(X4,X3))
      | theorem(X3) ),
    file('/export/starexec/sandbox/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,[],[f13,f7]) ).

fof(f13,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/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f180,plain,
    ! [X3,X4,X5] :
      ( theorem(or(X3,or(X4,X5)))
      | ~ theorem(or(X5,X4)) ),
    inference(resolution,[],[f108,f25]) ).

fof(f25,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f16,f7]) ).

fof(f16,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/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(X0) ),
    inference(resolution,[],[f59,f11]) ).

fof(f59,plain,
    ! [X14,X12,X13] :
      ( theorem(or(X12,or(X13,X14)))
      | ~ theorem(or(X12,X14)) ),
    inference(resolution,[],[f50,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f17,f11]) ).

fof(f338,plain,
    ! [X46,X45] :
      ( theorem(or(X45,not(not(X46))))
      | ~ theorem(or(X45,X46)) ),
    inference(resolution,[],[f74,f65]) ).

fof(f65,plain,
    ! [X1] : theorem(or(X1,not(X1))),
    inference(resolution,[],[f62,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f25,f11]) ).

fof(f62,plain,
    ! [X4] : theorem(or(not(X4),X4)),
    inference(resolution,[],[f54,f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f18,f11]) ).

fof(f18,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f12,f7]) ).

fof(f12,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/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f54,plain,
    ! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
    inference(resolution,[],[f50,f17]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | ~ theorem(or(X2,X0))
      | theorem(or(X2,X1)) ),
    inference(resolution,[],[f67,f11]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f45,f11]) ).

fof(f45,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f14,f7]) ).

fof(f14,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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL203-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13  % 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 : n005.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 01:43:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (24447)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)
% 1.44/0.55  % (24448)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.55  % (24445)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)
% 1.68/0.56  % (24463)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)
% 1.68/0.56  % (24445)Refutation not found, incomplete strategy% (24445)------------------------------
% 1.68/0.56  % (24445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.56  % (24445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.56  % (24445)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.56  
% 1.68/0.56  % (24445)Memory used [KB]: 5373
% 1.68/0.56  % (24445)Time elapsed: 0.141 s
% 1.68/0.56  % (24445)Instructions burned: 2 (million)
% 1.68/0.56  % (24445)------------------------------
% 1.68/0.56  % (24445)------------------------------
% 1.68/0.57  % (24459)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)
% 1.68/0.57  % (24456)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.68/0.57  % (24450)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)
% 1.68/0.57  % (24455)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)
% 1.68/0.57  % (24472)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.68/0.57  % (24470)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)
% 1.68/0.58  % (24464)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)
% 1.68/0.58  % (24446)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)
% 1.68/0.59  % (24449)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)
% 1.68/0.59  % (24444)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)
% 1.68/0.59  % (24453)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)
% 1.68/0.59  % (24471)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)
% 1.68/0.59  TRYING [1]
% 1.68/0.59  TRYING [2]
% 1.68/0.59  % (24467)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)
% 1.68/0.59  TRYING [3]
% 1.68/0.59  TRYING [1]
% 1.68/0.59  TRYING [2]
% 1.68/0.59  TRYING [3]
% 1.68/0.60  % (24457)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.60  % (24460)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)
% 1.68/0.60  % (24461)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.68/0.60  % (24473)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)
% 1.68/0.61  % (24468)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.68/0.61  % (24452)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.68/0.61  % (24452)Instruction limit reached!
% 1.68/0.61  % (24452)------------------------------
% 1.68/0.61  % (24452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.61  % (24452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.61  % (24452)Termination reason: Unknown
% 1.68/0.61  % (24452)Termination phase: Blocked clause elimination
% 1.68/0.61  
% 1.68/0.61  % (24452)Memory used [KB]: 895
% 1.68/0.61  % (24452)Time elapsed: 0.002 s
% 1.68/0.61  % (24452)Instructions burned: 2 (million)
% 1.68/0.61  % (24452)------------------------------
% 1.68/0.61  % (24452)------------------------------
% 1.68/0.61  % (24458)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)
% 1.68/0.62  % (24451)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.68/0.62  % (24466)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)
% 1.68/0.62  % (24462)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.62  % (24454)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.68/0.63  TRYING [4]
% 1.68/0.63  TRYING [1]
% 1.68/0.63  TRYING [2]
% 1.68/0.63  % (24464)First to succeed.
% 1.68/0.63  % (24465)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.68/0.63  TRYING [3]
% 1.68/0.63  % (24464)Refutation found. Thanks to Tanya!
% 1.68/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.68/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.63  % (24464)------------------------------
% 1.68/0.63  % (24464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63  % (24464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63  % (24464)Termination reason: Refutation
% 1.68/0.63  
% 1.68/0.63  % (24464)Memory used [KB]: 5628
% 1.68/0.63  % (24464)Time elapsed: 0.161 s
% 1.68/0.63  % (24464)Instructions burned: 17 (million)
% 1.68/0.63  % (24464)------------------------------
% 1.68/0.63  % (24464)------------------------------
% 1.68/0.63  % (24443)Success in time 0.284 s
%------------------------------------------------------------------------------