TSTP Solution File: LCL197-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Tue Apr 30 13:40:52 EDT 2024

% Result   : Unsatisfiable 1.60s 0.57s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   40 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  29   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 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   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1056,plain,
    $false,
    inference(resolution,[],[f1055,f1]) ).

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

fof(f1055,plain,
    ~ axiom(implies(or(q,q),q)),
    inference(resolution,[],[f1041,f5]) ).

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) ).

fof(f1041,plain,
    ! [X0] :
      ( ~ axiom(implies(X0,implies(or(p,or(q,q)),or(p,q))))
      | ~ axiom(X0) ),
    inference(resolution,[],[f1022,f4]) ).

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(f1022,plain,
    ! [X0,X1] :
      ( ~ axiom(implies(or(q,or(p,q)),X0))
      | ~ axiom(implies(X1,implies(X0,or(p,q))))
      | ~ axiom(X1) ),
    inference(resolution,[],[f348,f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
    inference(forward_demodulation,[],[f33,f6]) ).

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

fof(f33,plain,
    ! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
    inference(superposition,[],[f5,f6]) ).

fof(f348,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(implies(X1,implies(X0,implies(or(q,or(p,q)),or(p,q)))))
      | ~ axiom(implies(X2,X1))
      | ~ axiom(X0)
      | ~ axiom(X2) ),
    inference(resolution,[],[f114,f7]) ).

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

fof(f114,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(X2)
      | ~ axiom(X1)
      | ~ axiom(implies(X0,implies(X1,implies(or(q,or(p,q)),or(p,q)))))
      | ~ axiom(implies(X2,X0)) ),
    inference(resolution,[],[f104,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(X1)
      | ~ axiom(implies(X1,X0)) ),
    inference(resolution,[],[f8,f7]) ).

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

fof(f104,plain,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ axiom(implies(X1,implies(X0,implies(or(q,or(p,q)),or(p,q)))))
      | ~ axiom(X0) ),
    inference(resolution,[],[f97,f7]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ theorem(X0)
      | ~ axiom(implies(X0,implies(X1,implies(or(q,or(p,q)),or(p,q))))) ),
    inference(resolution,[],[f25,f9]) ).

fof(f9,axiom,
    ~ theorem(implies(or(q,or(p,q)),or(p,q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( theorem(X2)
      | ~ axiom(implies(X0,implies(X1,X2)))
      | ~ theorem(X0)
      | ~ theorem(X1) ),
    inference(resolution,[],[f15,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Apr 29 22:29:32 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (22296)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (22302)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35  % (22299)WARNING: value z3 for option sas not known
% 0.12/0.35  % (22303)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35  % (22301)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35  % (22298)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  % (22297)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35  % (22299)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35  % (22300)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [4]
% 0.12/0.36  TRYING [4]
% 0.20/0.38  TRYING [5]
% 0.20/0.39  TRYING [5]
% 0.20/0.45  TRYING [6]
% 0.20/0.49  TRYING [6]
% 1.60/0.57  % (22302)First to succeed.
% 1.60/0.57  % (22302)Refutation found. Thanks to Tanya!
% 1.60/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.57  % (22302)------------------------------
% 1.60/0.57  % (22302)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.57  % (22302)Termination reason: Refutation
% 1.60/0.57  
% 1.60/0.57  % (22302)Memory used [KB]: 2013
% 1.60/0.57  % (22302)Time elapsed: 0.222 s
% 1.60/0.57  % (22302)Instructions burned: 592 (million)
% 1.60/0.57  % (22302)------------------------------
% 1.60/0.57  % (22302)------------------------------
% 1.60/0.57  % (22296)Success in time 0.21 s
%------------------------------------------------------------------------------