TSTP Solution File: LCL185-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL185-3 : 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_uns --cores 0 -t %d %s

% Computer : n018.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 17:39:14 EDT 2022

% Result   : Unsatisfiable 1.28s 0.55s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   35 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  24   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,plain,
    $false,
    inference(resolution,[],[f81,f10]) ).

fof(f10,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

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

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

fof(f81,plain,
    ! [X0] : ~ axiom(or(not(or(X0,p)),or(p,q))),
    inference(resolution,[],[f57,f12]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

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

fof(f57,plain,
    ! [X3] :
      ( ~ axiom(or(not(p),X3))
      | ~ axiom(or(not(X3),or(p,q))) ),
    inference(resolution,[],[f38,f11]) ).

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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f38,plain,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),or(not(X3),or(not(p),or(p,q)))))
      | ~ axiom(X3)
      | ~ axiom(X4) ),
    inference(resolution,[],[f32,f7]) ).

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

fof(f32,plain,
    ! [X3,X4] :
      ( ~ theorem(X3)
      | ~ axiom(X4)
      | ~ axiom(or(not(X3),or(not(X4),or(not(p),or(p,q))))) ),
    inference(resolution,[],[f28,f7]) ).

fof(f28,plain,
    ! [X3,X4] :
      ( ~ theorem(X3)
      | ~ theorem(X4)
      | ~ axiom(or(not(X4),or(not(X3),or(not(p),or(p,q))))) ),
    inference(resolution,[],[f19,f7]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),or(not(X0),or(not(p),or(p,q)))))
      | ~ theorem(X0)
      | ~ theorem(X1) ),
    inference(resolution,[],[f17,f14]) ).

fof(f14,plain,
    ! [X3,X4] :
      ( theorem(X3)
      | ~ theorem(X4)
      | ~ theorem(or(not(X4),X3)) ),
    inference(definition_unfolding,[],[f8,f6]) ).

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

fof(f17,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(not(p),or(p,q))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f16,f14]) ).

fof(f16,plain,
    ~ theorem(or(not(p),or(p,q))),
    inference(definition_unfolding,[],[f9,f6]) ).

fof(f9,axiom,
    ~ theorem(implies(p,or(p,q))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL185-3 : TPTP v8.1.0. Released v2.3.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 01:45:39 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  % (27603)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.22/0.49  % (27592)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.50  % (27592)Instruction limit reached!
% 0.22/0.50  % (27592)------------------------------
% 0.22/0.50  % (27592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50  % (27592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50  % (27592)Termination reason: Unknown
% 0.22/0.50  % (27592)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (27592)Memory used [KB]: 5884
% 0.22/0.50  % (27592)Time elapsed: 0.077 s
% 0.22/0.50  % (27592)Instructions burned: 6 (million)
% 0.22/0.50  % (27592)------------------------------
% 0.22/0.50  % (27592)------------------------------
% 0.22/0.50  % (27603)Refutation not found, incomplete strategy% (27603)------------------------------
% 0.22/0.50  % (27603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50  % (27603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50  % (27603)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50  
% 0.22/0.50  % (27603)Memory used [KB]: 5756
% 0.22/0.50  % (27603)Time elapsed: 0.074 s
% 0.22/0.50  % (27603)Instructions burned: 1 (million)
% 0.22/0.50  % (27603)------------------------------
% 0.22/0.50  % (27603)------------------------------
% 1.19/0.52  % (27594)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.19/0.52  % (27584)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.19/0.53  % (27595)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.53  % (27596)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.28/0.53  % (27587)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.54  % (27611)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.54  % (27611)Refutation not found, incomplete strategy% (27611)------------------------------
% 1.28/0.54  % (27611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27611)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54  
% 1.28/0.54  % (27611)Memory used [KB]: 5756
% 1.28/0.54  % (27611)Time elapsed: 0.109 s
% 1.28/0.54  % (27611)Instructions burned: 1 (million)
% 1.28/0.54  % (27611)------------------------------
% 1.28/0.54  % (27611)------------------------------
% 1.28/0.54  % (27586)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.28/0.54  % (27586)Refutation not found, incomplete strategy% (27586)------------------------------
% 1.28/0.54  % (27586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27586)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54  
% 1.28/0.54  % (27586)Memory used [KB]: 5756
% 1.28/0.54  % (27586)Time elapsed: 0.128 s
% 1.28/0.54  % (27586)Instructions burned: 1 (million)
% 1.28/0.54  % (27586)------------------------------
% 1.28/0.54  % (27586)------------------------------
% 1.28/0.54  % (27607)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.28/0.54  % (27608)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.28/0.54  % (27607)Refutation not found, incomplete strategy% (27607)------------------------------
% 1.28/0.54  % (27607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27607)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54  
% 1.28/0.54  % (27607)Memory used [KB]: 5756
% 1.28/0.54  % (27607)Time elapsed: 0.139 s
% 1.28/0.54  % (27607)------------------------------
% 1.28/0.54  % (27607)------------------------------
% 1.28/0.54  % (27605)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.28/0.54  % (27608)Refutation not found, incomplete strategy% (27608)------------------------------
% 1.28/0.54  % (27608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27608)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54  
% 1.28/0.54  % (27608)Memory used [KB]: 5756
% 1.28/0.54  % (27608)Time elapsed: 0.139 s
% 1.28/0.54  % (27608)Instructions burned: 2 (million)
% 1.28/0.54  % (27608)------------------------------
% 1.28/0.54  % (27608)------------------------------
% 1.28/0.54  % (27588)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.28/0.54  % (27594)Instruction limit reached!
% 1.28/0.54  % (27594)------------------------------
% 1.28/0.54  % (27594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27594)Termination reason: Unknown
% 1.28/0.54  % (27594)Termination phase: Saturation
% 1.28/0.54  
% 1.28/0.54  % (27594)Memory used [KB]: 5884
% 1.28/0.54  % (27594)Time elapsed: 0.122 s
% 1.28/0.54  % (27594)Instructions burned: 7 (million)
% 1.28/0.54  % (27594)------------------------------
% 1.28/0.54  % (27594)------------------------------
% 1.28/0.54  % (27585)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.28/0.54  % (27609)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.28/0.54  % (27584)Instruction limit reached!
% 1.28/0.54  % (27584)------------------------------
% 1.28/0.54  % (27584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (27584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (27584)Termination reason: Unknown
% 1.28/0.54  % (27584)Termination phase: Saturation
% 1.28/0.54  
% 1.28/0.54  % (27584)Memory used [KB]: 5884
% 1.28/0.54  % (27584)Time elapsed: 0.139 s
% 1.28/0.54  % (27584)Instructions burned: 4 (million)
% 1.28/0.54  % (27584)------------------------------
% 1.28/0.54  % (27584)------------------------------
% 1.28/0.55  % (27609)Refutation not found, incomplete strategy% (27609)------------------------------
% 1.28/0.55  % (27609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.55  % (27609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.55  % (27609)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.55  
% 1.28/0.55  % (27609)Memory used [KB]: 1279
% 1.28/0.55  % (27609)Time elapsed: 0.143 s
% 1.28/0.55  % (27609)Instructions burned: 2 (million)
% 1.28/0.55  % (27609)------------------------------
% 1.28/0.55  % (27609)------------------------------
% 1.28/0.55  % (27610)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.28/0.55  % (27601)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.55  % (27583)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.28/0.55  % (27604)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.28/0.55  % (27583)Refutation not found, incomplete strategy% (27583)------------------------------
% 1.28/0.55  % (27583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.55  % (27583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.55  % (27583)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.55  
% 1.28/0.55  % (27583)Memory used [KB]: 1279
% 1.28/0.55  % (27583)Time elapsed: 0.134 s
% 1.28/0.55  % (27583)Instructions burned: 2 (million)
% 1.28/0.55  % (27583)------------------------------
% 1.28/0.55  % (27583)------------------------------
% 1.28/0.55  % (27604)Refutation not found, incomplete strategy% (27604)------------------------------
% 1.28/0.55  % (27604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.55  % (27604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.55  % (27604)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.55  
% 1.28/0.55  % (27604)Memory used [KB]: 5756
% 1.28/0.55  % (27604)Time elapsed: 0.105 s
% 1.28/0.55  % (27604)Instructions burned: 2 (million)
% 1.28/0.55  % (27604)------------------------------
% 1.28/0.55  % (27604)------------------------------
% 1.28/0.55  % (27599)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.28/0.55  % (27595)Instruction limit reached!
% 1.28/0.55  % (27595)------------------------------
% 1.28/0.55  % (27595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.55  % (27595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.55  % (27595)Termination reason: Unknown
% 1.28/0.55  % (27595)Termination phase: Saturation
% 1.28/0.55  
% 1.28/0.55  % (27595)Memory used [KB]: 5884
% 1.28/0.55  % (27595)Time elapsed: 0.139 s
% 1.28/0.55  % (27595)Instructions burned: 4 (million)
% 1.28/0.55  % (27595)------------------------------
% 1.28/0.55  % (27595)------------------------------
% 1.28/0.55  % (27601)First to succeed.
% 1.28/0.55  % (27601)Refutation found. Thanks to Tanya!
% 1.28/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.28/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.55  % (27601)------------------------------
% 1.28/0.55  % (27601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.55  % (27601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.55  % (27601)Termination reason: Refutation
% 1.28/0.55  
% 1.28/0.55  % (27601)Memory used [KB]: 5884
% 1.28/0.55  % (27601)Time elapsed: 0.146 s
% 1.28/0.55  % (27601)Instructions burned: 5 (million)
% 1.28/0.55  % (27601)------------------------------
% 1.28/0.55  % (27601)------------------------------
% 1.28/0.55  % (27581)Success in time 0.182 s
%------------------------------------------------------------------------------