TSTP Solution File: LCL109-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL109-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 : Sun May  5 07:44:04 EDT 2024

% Result   : Unsatisfiable 70.11s 10.33s
% Output   : Refutation 70.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   57
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  123 ( 123 unt;   0 def)
%            Number of atoms       :  123 ( 122 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  215 ( 215   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f237975,plain,
    $false,
    inference(trivial_inequality_removal,[],[f237974]) ).

fof(f237974,plain,
    truth != truth,
    inference(superposition,[],[f92312,f156441]) ).

fof(f156441,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,implies(implies(X1,X0),X1)),X1)),
    inference(forward_demodulation,[],[f156440,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f156440,plain,
    ! [X0,X1] : truth = implies(implies(truth,X0),implies(implies(X0,implies(implies(X1,X0),X1)),X1)),
    inference(forward_demodulation,[],[f156439,f2423]) ).

fof(f2423,plain,
    ! [X0,X1] : truth = implies(X0,implies(not(X0),X1)),
    inference(superposition,[],[f1161,f2362]) ).

fof(f2362,plain,
    ! [X0] : implies(not(X0),not(truth)) = X0,
    inference(forward_demodulation,[],[f2361,f1]) ).

fof(f2361,plain,
    ! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
    inference(forward_demodulation,[],[f2360,f20]) ).

fof(f20,plain,
    ! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f2360,plain,
    ! [X0] : implies(not(X0),not(truth)) = implies(implies(implies(not(X0),not(truth)),X0),X0),
    inference(forward_demodulation,[],[f2327,f1]) ).

fof(f2327,plain,
    ! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
    inference(superposition,[],[f3,f2234]) ).

fof(f2234,plain,
    ! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
    inference(superposition,[],[f1187,f1]) ).

fof(f1187,plain,
    ! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
    inference(superposition,[],[f4,f1127]) ).

fof(f1127,plain,
    ! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
    inference(forward_demodulation,[],[f1126,f1]) ).

fof(f1126,plain,
    ! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
    inference(forward_demodulation,[],[f1125,f1]) ).

fof(f1125,plain,
    ! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(truth,X0)),
    inference(forward_demodulation,[],[f1118,f958]) ).

fof(f958,plain,
    ! [X0] : truth = implies(not(truth),X0),
    inference(superposition,[],[f929,f1]) ).

fof(f929,plain,
    ! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
    inference(forward_demodulation,[],[f867,f1]) ).

fof(f867,plain,
    ! [X0,X1] : truth = implies(not(X1),implies(truth,implies(X1,X0))),
    inference(superposition,[],[f621,f4]) ).

fof(f621,plain,
    ! [X2,X0,X1] : truth = implies(X2,implies(implies(implies(X1,X2),X0),X0)),
    inference(superposition,[],[f550,f3]) ).

fof(f550,plain,
    ! [X2,X0,X1] : truth = implies(X0,implies(X1,implies(X2,X0))),
    inference(superposition,[],[f324,f1]) ).

fof(f324,plain,
    ! [X2,X0,X1] : truth = implies(truth,implies(X0,implies(X2,implies(X1,X0)))),
    inference(superposition,[],[f318,f267]) ).

fof(f267,plain,
    ! [X0,X1] : truth = implies(X0,implies(X1,X0)),
    inference(superposition,[],[f190,f1]) ).

fof(f190,plain,
    ! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
    inference(backward_demodulation,[],[f45,f186]) ).

fof(f186,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(backward_demodulation,[],[f137,f165]) ).

fof(f165,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(backward_demodulation,[],[f6,f164]) ).

fof(f164,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f126,f163]) ).

fof(f163,plain,
    ! [X0] : truth = implies(implies(X0,X0),truth),
    inference(backward_demodulation,[],[f9,f159]) ).

fof(f159,plain,
    ! [X0] : truth = implies(implies(X0,truth),implies(X0,truth)),
    inference(backward_demodulation,[],[f89,f139]) ).

fof(f139,plain,
    truth = implies(not(truth),truth),
    inference(superposition,[],[f71,f78]) ).

fof(f78,plain,
    truth = implies(implies(not(truth),truth),truth),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    truth = implies(implies(truth,implies(not(truth),truth)),truth),
    inference(superposition,[],[f2,f19]) ).

fof(f19,plain,
    ! [X0] : truth = implies(implies(implies(not(X0),truth),truth),implies(X0,X0)),
    inference(superposition,[],[f4,f6]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).

fof(f71,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    inference(superposition,[],[f2,f1]) ).

fof(f89,plain,
    ! [X0] : truth = implies(implies(X0,implies(not(truth),truth)),implies(X0,truth)),
    inference(forward_demodulation,[],[f85,f1]) ).

fof(f85,plain,
    ! [X0] : truth = implies(implies(X0,implies(not(truth),truth)),implies(truth,implies(X0,truth))),
    inference(superposition,[],[f2,f78]) ).

fof(f9,plain,
    ! [X0] : implies(implies(X0,truth),implies(X0,truth)) = implies(implies(X0,X0),truth),
    inference(superposition,[],[f6,f6]) ).

fof(f126,plain,
    ! [X0] : truth = implies(implies(X0,truth),implies(implies(X0,X0),truth)),
    inference(superposition,[],[f71,f6]) ).

fof(f6,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[],[f3,f1]) ).

fof(f137,plain,
    ! [X0] : truth = implies(X0,implies(X0,X0)),
    inference(superposition,[],[f71,f6]) ).

fof(f45,plain,
    ! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
    inference(superposition,[],[f2,f1]) ).

fof(f318,plain,
    ! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(X2,implies(X1,X0))),
    inference(forward_demodulation,[],[f311,f1]) ).

fof(f311,plain,
    ! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(truth,implies(X2,implies(X1,X0)))),
    inference(superposition,[],[f2,f267]) ).

fof(f1118,plain,
    ! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(implies(not(truth),X0),X0)),
    inference(superposition,[],[f21,f991]) ).

fof(f991,plain,
    truth = not(not(truth)),
    inference(backward_demodulation,[],[f714,f958]) ).

fof(f714,plain,
    not(not(truth)) = implies(not(truth),not(not(truth))),
    inference(forward_demodulation,[],[f713,f1]) ).

fof(f713,plain,
    implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
    inference(forward_demodulation,[],[f680,f165]) ).

fof(f680,plain,
    implies(not(truth),not(not(truth))) = implies(implies(not(truth),not(truth)),not(not(truth))),
    inference(superposition,[],[f391,f417]) ).

fof(f417,plain,
    not(truth) = implies(not(not(truth)),not(truth)),
    inference(forward_demodulation,[],[f393,f1]) ).

fof(f393,plain,
    implies(not(not(truth)),not(truth)) = implies(truth,not(truth)),
    inference(superposition,[],[f320,f20]) ).

fof(f320,plain,
    ! [X0,X1] : implies(X1,X0) = implies(implies(implies(X1,X0),X0),X0),
    inference(forward_demodulation,[],[f313,f1]) ).

fof(f313,plain,
    ! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(implies(X1,X0),X0),X0),
    inference(superposition,[],[f3,f267]) ).

fof(f391,plain,
    ! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
    inference(superposition,[],[f320,f3]) ).

fof(f21,plain,
    ! [X0,X1] : truth = implies(implies(not(X1),not(implies(X0,X1))),implies(implies(X1,X0),X0)),
    inference(superposition,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f1161,plain,
    ! [X0,X1] : truth = implies(implies(X1,not(truth)),implies(X1,X0)),
    inference(forward_demodulation,[],[f1137,f1]) ).

fof(f1137,plain,
    ! [X0,X1] : truth = implies(implies(X1,not(truth)),implies(truth,implies(X1,X0))),
    inference(superposition,[],[f2,f958]) ).

fof(f156439,plain,
    ! [X0,X1] : truth = implies(implies(implies(X0,implies(not(X0),X1)),X0),implies(implies(X0,implies(implies(X1,X0),X1)),X1)),
    inference(forward_demodulation,[],[f156438,f87208]) ).

fof(f87208,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
    inference(superposition,[],[f83293,f1]) ).

fof(f83293,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(truth,implies(X1,implies(X0,X2))),
    inference(forward_demodulation,[],[f83292,f1]) ).

fof(f83292,plain,
    ! [X2,X0,X1] : implies(truth,implies(X1,implies(X0,X2))) = implies(truth,implies(X0,implies(X1,X2))),
    inference(forward_demodulation,[],[f82424,f79957]) ).

fof(f79957,plain,
    ! [X2,X0,X1] : truth = implies(implies(X1,implies(X0,X2)),implies(X0,implies(X1,X2))),
    inference(forward_demodulation,[],[f79381,f1]) ).

fof(f79381,plain,
    ! [X2,X0,X1] : truth = implies(implies(X1,implies(X0,X2)),implies(truth,implies(X0,implies(X1,X2)))),
    inference(superposition,[],[f79020,f79020]) ).

fof(f79020,plain,
    ! [X2,X0,X1] : truth = implies(X0,implies(implies(X2,implies(X0,X1)),implies(X2,X1))),
    inference(forward_demodulation,[],[f78394,f1]) ).

fof(f78394,plain,
    ! [X2,X0,X1] : truth = implies(X0,implies(truth,implies(implies(X2,implies(X0,X1)),implies(X2,X1)))),
    inference(superposition,[],[f780,f77651]) ).

fof(f77651,plain,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),
    inference(forward_demodulation,[],[f76476,f1]) ).

fof(f76476,plain,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(truth,implies(implies(X2,X0),implies(X2,X1)))),
    inference(superposition,[],[f780,f10420]) ).

fof(f10420,plain,
    ! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)),
    inference(superposition,[],[f40,f1]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
    inference(superposition,[],[f2,f2]) ).

fof(f780,plain,
    ! [X2,X0,X1] : truth = implies(X1,implies(implies(implies(implies(X1,X2),X2),X0),X0)),
    inference(superposition,[],[f605,f3]) ).

fof(f605,plain,
    ! [X2,X0,X1] : truth = implies(X1,implies(X2,implies(implies(X1,X0),X0))),
    inference(superposition,[],[f550,f3]) ).

fof(f82424,plain,
    ! [X2,X0,X1] : implies(truth,implies(X1,implies(X0,X2))) = implies(implies(implies(X1,implies(X0,X2)),implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2))),
    inference(superposition,[],[f3,f79957]) ).

fof(f156438,plain,
    ! [X0,X1] : truth = implies(implies(implies(not(X0),implies(X0,X1)),X0),implies(implies(X0,implies(implies(X1,X0),X1)),X1)),
    inference(forward_demodulation,[],[f156437,f4871]) ).

fof(f4871,plain,
    ! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
    inference(superposition,[],[f4478,f2635]) ).

fof(f2635,plain,
    ! [X0] : not(not(X0)) = X0,
    inference(forward_demodulation,[],[f2634,f1]) ).

fof(f2634,plain,
    ! [X0] : implies(truth,X0) = not(not(X0)),
    inference(forward_demodulation,[],[f2633,f2424]) ).

fof(f2424,plain,
    ! [X0] : not(X0) = implies(X0,not(truth)),
    inference(superposition,[],[f1163,f2362]) ).

fof(f1163,plain,
    ! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
    inference(forward_demodulation,[],[f1139,f1]) ).

fof(f1139,plain,
    ! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
    inference(superposition,[],[f3,f958]) ).

fof(f2633,plain,
    ! [X0] : implies(truth,X0) = not(implies(X0,not(truth))),
    inference(forward_demodulation,[],[f2581,f958]) ).

fof(f2581,plain,
    ! [X0] : not(implies(X0,not(truth))) = implies(implies(not(truth),X0),X0),
    inference(superposition,[],[f2424,f3]) ).

fof(f4478,plain,
    ! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
    inference(forward_demodulation,[],[f4415,f1]) ).

fof(f4415,plain,
    ! [X0,X1] : implies(not(X0),not(X1)) = implies(truth,implies(X1,X0)),
    inference(superposition,[],[f3343,f2635]) ).

fof(f3343,plain,
    ! [X0,X1] : implies(X0,not(X1)) = implies(truth,implies(X1,not(X0))),
    inference(forward_demodulation,[],[f3342,f1]) ).

fof(f3342,plain,
    ! [X0,X1] : implies(truth,implies(X1,not(X0))) = implies(truth,implies(X0,not(X1))),
    inference(forward_demodulation,[],[f3303,f2483]) ).

fof(f2483,plain,
    ! [X0,X1] : truth = implies(implies(X1,not(X0)),implies(X0,not(X1))),
    inference(forward_demodulation,[],[f2460,f2424]) ).

fof(f2460,plain,
    ! [X0,X1] : truth = implies(implies(X1,not(X0)),implies(X0,implies(X1,not(truth)))),
    inference(backward_demodulation,[],[f1249,f2424]) ).

fof(f1249,plain,
    ! [X0,X1] : truth = implies(implies(X1,implies(X0,not(truth))),implies(X0,implies(X1,not(truth)))),
    inference(superposition,[],[f2,f1163]) ).

fof(f3303,plain,
    ! [X0,X1] : implies(truth,implies(X1,not(X0))) = implies(implies(implies(X1,not(X0)),implies(X0,not(X1))),implies(X0,not(X1))),
    inference(superposition,[],[f3,f2483]) ).

fof(f156437,plain,
    ! [X0,X1] : truth = implies(implies(implies(not(implies(X0,X1)),X0),X0),implies(implies(X0,implies(implies(X1,X0),X1)),X1)),
    inference(forward_demodulation,[],[f156436,f87208]) ).

fof(f156436,plain,
    ! [X0,X1] : truth = implies(implies(implies(not(implies(X0,X1)),X0),X0),implies(implies(implies(X1,X0),implies(X0,X1)),X1)),
    inference(forward_demodulation,[],[f156435,f2635]) ).

fof(f156435,plain,
    ! [X0,X1] : truth = implies(implies(implies(not(implies(X0,X1)),X0),X0),implies(implies(implies(X1,X0),not(not(implies(X0,X1)))),X1)),
    inference(forward_demodulation,[],[f154992,f154046]) ).

fof(f154046,plain,
    ! [X2,X0,X1] : implies(implies(X1,not(X0)),X2) = implies(implies(X0,not(X1)),X2),
    inference(forward_demodulation,[],[f154045,f1]) ).

fof(f154045,plain,
    ! [X2,X0,X1] : implies(implies(X1,not(X0)),X2) = implies(implies(X0,not(X1)),implies(truth,X2)),
    inference(forward_demodulation,[],[f153635,f2635]) ).

fof(f153635,plain,
    ! [X2,X0,X1] : implies(implies(X0,not(X1)),implies(truth,X2)) = implies(not(not(implies(X1,not(X0)))),X2),
    inference(superposition,[],[f93201,f74884]) ).

fof(f74884,plain,
    ! [X0,X1] : not(implies(X0,not(X1))) = implies(truth,not(implies(X1,not(X0)))),
    inference(forward_demodulation,[],[f74883,f1]) ).

fof(f74883,plain,
    ! [X0,X1] : implies(truth,not(implies(X1,not(X0)))) = implies(truth,not(implies(X0,not(X1)))),
    inference(forward_demodulation,[],[f74296,f2483]) ).

fof(f74296,plain,
    ! [X0,X1] : implies(truth,not(implies(X0,not(X1)))) = implies(implies(implies(X1,not(X0)),implies(X0,not(X1))),not(implies(X1,not(X0)))),
    inference(superposition,[],[f4930,f2483]) ).

fof(f4930,plain,
    ! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
    inference(forward_demodulation,[],[f4897,f4478]) ).

fof(f4897,plain,
    ! [X0,X1] : implies(implies(not(X1),not(X0)),not(X0)) = implies(implies(X1,X0),not(X1)),
    inference(superposition,[],[f3,f4478]) ).

fof(f93201,plain,
    ! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(not(implies(X1,not(X0))),X2),
    inference(forward_demodulation,[],[f92580,f4478]) ).

fof(f92580,plain,
    ! [X2,X0,X1] : implies(X0,implies(not(X2),not(X1))) = implies(not(implies(X1,not(X0))),X2),
    inference(superposition,[],[f87205,f4425]) ).

fof(f4425,plain,
    ! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
    inference(superposition,[],[f3343,f1]) ).

fof(f87205,plain,
    ! [X2,X0,X1] : implies(X1,implies(not(X0),X2)) = implies(not(implies(X1,X2)),X0),
    inference(superposition,[],[f83293,f3470]) ).

fof(f3470,plain,
    ! [X0,X1] : implies(not(X1),X0) = implies(truth,implies(not(X0),X1)),
    inference(forward_demodulation,[],[f3469,f1]) ).

fof(f3469,plain,
    ! [X0,X1] : implies(truth,implies(not(X0),X1)) = implies(truth,implies(not(X1),X0)),
    inference(forward_demodulation,[],[f3427,f2484]) ).

fof(f2484,plain,
    ! [X0,X1] : truth = implies(implies(not(X0),X1),implies(not(X1),X0)),
    inference(forward_demodulation,[],[f2461,f2424]) ).

fof(f2461,plain,
    ! [X0,X1] : truth = implies(implies(not(X0),X1),implies(implies(X1,not(truth)),X0)),
    inference(backward_demodulation,[],[f1250,f2424]) ).

fof(f1250,plain,
    ! [X0,X1] : truth = implies(implies(implies(X0,not(truth)),X1),implies(implies(X1,not(truth)),X0)),
    inference(superposition,[],[f2,f1163]) ).

fof(f3427,plain,
    ! [X0,X1] : implies(truth,implies(not(X1),X0)) = implies(implies(implies(not(X1),X0),implies(not(X0),X1)),implies(not(X0),X1)),
    inference(superposition,[],[f3,f2484]) ).

fof(f154992,plain,
    ! [X0,X1] : truth = implies(implies(implies(not(implies(X0,X1)),X0),X0),implies(implies(not(implies(X0,X1)),not(implies(X1,X0))),X1)),
    inference(superposition,[],[f37,f74892]) ).

fof(f74892,plain,
    ! [X0,X1] : implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))) = X0,
    inference(forward_demodulation,[],[f74891,f1]) ).

fof(f74891,plain,
    ! [X0,X1] : implies(truth,X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
    inference(forward_demodulation,[],[f74890,f929]) ).

fof(f74890,plain,
    ! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
    inference(forward_demodulation,[],[f74889,f2635]) ).

fof(f74889,plain,
    ! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),not(not(X0))) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
    inference(forward_demodulation,[],[f74299,f4425]) ).

fof(f74299,plain,
    ! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),not(not(X0))) = implies(implies(implies(X1,X0),not(X1)),not(implies(X0,X1))),
    inference(superposition,[],[f4930,f4930]) ).

fof(f37,plain,
    ! [X2,X0,X1] : truth = implies(implies(implies(X1,X0),X0),implies(implies(X1,X2),implies(implies(X0,X1),X2))),
    inference(superposition,[],[f2,f3]) ).

fof(f92312,plain,
    truth != implies(b,implies(implies(b,implies(implies(a,b),a)),a)),
    inference(forward_demodulation,[],[f91227,f87208]) ).

fof(f91227,plain,
    truth != implies(b,implies(implies(implies(a,b),implies(b,a)),a)),
    inference(superposition,[],[f5,f87208]) ).

fof(f5,axiom,
    truth != implies(implies(implies(a,b),implies(b,a)),implies(b,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_mv_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : LCL109-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n010.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   : Fri May  3 13:09:18 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (1491)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (1494)WARNING: value z3 for option sas not known
% 0.13/0.36  % (1495)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (1494)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)
% 0.13/0.36  % (1498)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)
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [2]
% 0.13/0.36  % (1492)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (1497)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)
% 0.13/0.36  % (1496)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)
% 0.13/0.36  TRYING [3]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  TRYING [2]
% 0.13/0.37  % (1493)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [4]
% 0.13/0.38  TRYING [4]
% 0.20/0.39  TRYING [5]
% 0.20/0.42  TRYING [5]
% 0.20/0.43  TRYING [6]
% 0.20/0.50  TRYING [7]
% 0.20/0.50  TRYING [6]
% 3.53/0.86  TRYING [8]
% 3.53/0.90  TRYING [7]
% 7.82/1.46  TRYING [1]
% 7.82/1.46  TRYING [2]
% 7.82/1.46  TRYING [3]
% 7.82/1.46  TRYING [4]
% 7.82/1.48  TRYING [5]
% 7.82/1.52  TRYING [6]
% 8.66/1.62  TRYING [7]
% 11.52/2.03  TRYING [8]
% 26.04/4.10  TRYING [9]
% 39.33/5.99  TRYING [9]
% 55.60/8.31  TRYING [8]
% 69.86/10.30  % (1497)First to succeed.
% 69.86/10.32  % (1497)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1491"
% 70.11/10.33  % (1497)Refutation found. Thanks to Tanya!
% 70.11/10.33  % SZS status Unsatisfiable for theBenchmark
% 70.11/10.33  % SZS output start Proof for theBenchmark
% See solution above
% 70.11/10.33  % (1497)------------------------------
% 70.11/10.33  % (1497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 70.11/10.33  % (1497)Termination reason: Refutation
% 70.11/10.33  
% 70.11/10.33  % (1497)Memory used [KB]: 166706
% 70.11/10.33  % (1497)Time elapsed: 9.957 s
% 70.11/10.33  % (1497)Instructions burned: 28713 (million)
% 70.11/10.33  % (1491)Success in time 9.925 s
%------------------------------------------------------------------------------