TSTP Solution File: LCL163-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL163-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 May 21 00:24:59 EDT 2024

% Result   : Unsatisfiable 1.97s 0.68s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  32 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17217,plain,
    $false,
    inference(trivial_inequality_removal,[],[f17216]) ).

fof(f17216,plain,
    implies(implies(x,y),y) != implies(implies(x,y),y),
    inference(superposition,[],[f14,f10698]) ).

fof(f10698,plain,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    inference(forward_demodulation,[],[f10572,f103]) ).

fof(f103,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(forward_demodulation,[],[f102,f2]) ).

fof(f2,axiom,
    ! [X0] : xor(X0,falsehood) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f102,plain,
    ! [X0] : xor(X0,falsehood) = not(not(X0)),
    inference(forward_demodulation,[],[f93,f12]) ).

fof(f12,axiom,
    falsehood = not(truth),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).

fof(f93,plain,
    ! [X0] : not(not(X0)) = xor(X0,not(truth)),
    inference(superposition,[],[f85,f1]) ).

fof(f1,axiom,
    ! [X0] : not(X0) = xor(X0,truth),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f85,plain,
    ! [X0,X1] : xor(not(X0),X1) = xor(X0,not(X1)),
    inference(forward_demodulation,[],[f84,f23]) ).

fof(f23,plain,
    ! [X0] : not(X0) = xor(truth,X0),
    inference(superposition,[],[f9,f1]) ).

fof(f9,axiom,
    ! [X0,X1] : xor(X0,X1) = xor(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).

fof(f84,plain,
    ! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
    inference(forward_demodulation,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f10572,plain,
    ! [X0,X1] : implies(implies(not(not(X0)),X1),X1) = implies(implies(X1,not(not(X0))),X0),
    inference(superposition,[],[f915,f459]) ).

fof(f459,plain,
    ! [X0,X1] : implies(X0,X1) = xor(truth,and_star(not(X1),X0)),
    inference(superposition,[],[f337,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).

fof(f337,plain,
    ! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,not(X1))),
    inference(forward_demodulation,[],[f13,f23]) ).

fof(f13,axiom,
    ! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f915,plain,
    ! [X0,X1] : implies(implies(not(X0),X1),X1) = xor(truth,and_star(X0,implies(X1,not(X0)))),
    inference(forward_demodulation,[],[f914,f103]) ).

fof(f914,plain,
    ! [X0,X1] : implies(implies(not(X0),not(not(X1))),X1) = xor(truth,and_star(X0,implies(not(not(X1)),not(X0)))),
    inference(forward_demodulation,[],[f861,f11]) ).

fof(f861,plain,
    ! [X0,X1] : implies(implies(not(X0),not(not(X1))),X1) = xor(truth,and_star(implies(not(not(X1)),not(X0)),X0)),
    inference(superposition,[],[f337,f672]) ).

fof(f672,plain,
    ! [X0,X1] : and_star(implies(not(X0),not(X1)),X1) = and_star(implies(not(X1),not(X0)),X0),
    inference(forward_demodulation,[],[f671,f491]) ).

fof(f491,plain,
    ! [X0,X1] : not(and_star(X1,X0)) = implies(X1,not(X0)),
    inference(superposition,[],[f466,f103]) ).

fof(f466,plain,
    ! [X0,X1] : implies(X0,X1) = not(and_star(X0,not(X1))),
    inference(superposition,[],[f337,f23]) ).

fof(f671,plain,
    ! [X0,X1] : and_star(not(and_star(not(X1),X0)),X0) = and_star(implies(not(X0),not(X1)),X1),
    inference(forward_demodulation,[],[f484,f491]) ).

fof(f484,plain,
    ! [X0,X1] : and_star(not(and_star(not(X1),X0)),X0) = and_star(not(and_star(not(X0),X1)),X1),
    inference(forward_demodulation,[],[f483,f23]) ).

fof(f483,plain,
    ! [X0,X1] : and_star(not(and_star(not(X1),X0)),X0) = and_star(not(and_star(xor(truth,X0),X1)),X1),
    inference(forward_demodulation,[],[f482,f1]) ).

fof(f482,plain,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(not(and_star(not(X1),X0)),X0),
    inference(forward_demodulation,[],[f481,f23]) ).

fof(f481,plain,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(not(and_star(xor(truth,X1),X0)),X0),
    inference(forward_demodulation,[],[f8,f1]) ).

fof(f8,axiom,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f14,axiom,
    implies(implies(x,y),y) != implies(implies(y,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LCL163-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n014.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
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 03:17:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (20449)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (20452)WARNING: value z3 for option sas not known
% 0.15/0.38  % (20450)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (20453)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (20451)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (20452)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)
% 0.15/0.38  % (20454)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)
% 0.15/0.38  % (20455)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)
% 0.15/0.38  % (20456)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.21/0.41  TRYING [5]
% 0.21/0.42  TRYING [4]
% 0.21/0.46  TRYING [6]
% 0.21/0.50  TRYING [5]
% 0.21/0.54  TRYING [7]
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  TRYING [3]
% 0.21/0.56  TRYING [4]
% 0.21/0.58  TRYING [5]
% 1.97/0.63  TRYING [6]
% 1.97/0.68  % (20452)First to succeed.
% 1.97/0.68  % (20452)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20449"
% 1.97/0.68  % (20452)Refutation found. Thanks to Tanya!
% 1.97/0.68  % SZS status Unsatisfiable for theBenchmark
% 1.97/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.68  % (20452)------------------------------
% 1.97/0.68  % (20452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.97/0.68  % (20452)Termination reason: Refutation
% 1.97/0.68  
% 1.97/0.68  % (20452)Memory used [KB]: 5613
% 1.97/0.68  % (20452)Time elapsed: 0.308 s
% 1.97/0.68  % (20452)Instructions burned: 928 (million)
% 1.97/0.68  % (20449)Success in time 0.314 s
%------------------------------------------------------------------------------