TSTP Solution File: LCL407-2 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : LCL407-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 16:05:43 EDT 2022
% Result : Unknown 0.57s 0.98s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf('0.1.0.0',axiom,
X1 = xor(X1,falsehood),
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.1.1.0',plain,
X1 = xor(X1,falsehood),
inference(weigh,[status(thm)],['0.1.0.0']),
[weight('<0,0,0,[0,0,0,1]>')] ).
cnf('0.1.2.0',plain,
xor(X1,falsehood) = X1,
inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
[x,rule_1] ).
cnf('0.2.0.0',axiom,
X1 = and_star(X1,truth),
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.2.1.0',plain,
X1 = and_star(X1,truth),
inference(weigh,[status(thm)],['0.2.0.0']),
[weight('<1,0,0,[0,0,0,2]>')] ).
cnf('0.2.2.0',plain,
and_star(X1,truth) = X1,
inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
[x,rule_2] ).
cnf('0.3.0.0',axiom,
xor(X1,X1) = falsehood,
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.3.1.0',plain,
xor(X1,X1) = falsehood,
inference(weigh,[status(thm)],['0.3.0.0']),
[weight('<2,0,0,[0,0,0,3]>')] ).
cnf('0.3.2.0',plain,
xor(X1,X1) = falsehood,
inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
[u,rule_3] ).
cnf('0.4.0.0',axiom,
xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.4.1.0',plain,
xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
inference(weigh,[status(thm)],['0.4.0.0']),
[weight('<3,0,0,[0,0,0,4]>')] ).
cnf('0.4.2.0',plain,
xor(xor(X1,truth),X2) = xor(X1,xor(truth,X2)),
inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
[x,rule_4] ).
cnf('0.5.0.0',axiom,
xor(X1,truth) = not(X1),
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.5.1.0',plain,
xor(X1,truth) = not(X1),
inference(weigh,[status(thm)],['0.5.0.0']),
[weight('<4,0,0,[0,0,0,5]>')] ).
cnf('0.5.2.0',plain,
xor(X1,truth) = not(X1),
inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
[u,rule_5] ).
cnf('0.6.0.0',axiom,
and_star(X1,falsehood) = falsehood,
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.6.1.0',plain,
and_star(X1,falsehood) = falsehood,
inference(weigh,[status(thm)],['0.6.0.0']),
[weight('<5,0,0,[0,0,0,6]>')] ).
cnf('0.6.2.0',plain,
and_star(X1,falsehood) = falsehood,
inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
[u,rule_6] ).
cnf('0.7.0.0',axiom,
and_star(xor(truth,X1),X1) = falsehood,
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.7.1.0',plain,
and_star(xor(truth,X1),X1) = falsehood,
inference(weigh,[status(thm)],['0.7.0.0']),
[weight('<6,0,0,[0,0,0,7]>')] ).
cnf('0.7.2.0',plain,
and_star(xor(truth,X1),X1) = falsehood,
inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
[u,rule_7] ).
cnf('0.8.0.0',axiom,
and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
file('/tmp/WALDMEISTER_21636_n019') ).
cnf('0.8.1.0',plain,
and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
inference(weigh,[status(thm)],['0.8.0.0']),
[weight('<7,0,0,[0,0,0,8]>')] ).
cnf('0.8.1.1',plain,
and_star(not(and_star(xor(truth,X1),X2)),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
inference(reduction,[status(thm)],['0.8.1.0','0.5.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.8.1.2',plain,
and_star(not(and_star(xor(truth,X1),X2)),X2) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(reduction,[status(thm)],['0.8.1.1','0.5.2.0',theory(equality)]),
[pos('R.1','L')] ).
cnf('0.8.2.0',plain,
and_star(not(and_star(xor(truth,X1),X2)),X2) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(activate,[status(thm)],['0.8.1.2']),
[equation_1] ).
cnf('0.9.0.0',plain,
not(truth) = falsehood,
inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.9.1.0',plain,
not(truth) = falsehood,
inference(weigh,[status(thm)],['0.9.0.0']),
[weight('<11,5,3,[1,0,0,0]>')] ).
cnf('0.9.2.0',plain,
not(truth) = falsehood,
inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
[u,rule_8] ).
cnf('0.10.0.0',plain,
and_star(not(and_star(xor(truth,X1),falsehood)),falsehood) = and_star(not(and_star(truth,X1)),X1),
inference(cp,[status(thm)],['0.8.2.0','0.1.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.10.0.1',plain,
falsehood = and_star(not(and_star(truth,X1)),X1),
inference(reduction,[status(thm)],['0.10.0.0','0.6.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.10.1.0',plain,
falsehood = and_star(not(and_star(truth,X1)),X1),
inference(weigh,[status(thm)],['0.10.0.1']),
[weight('<55,8,1,[1,0,0,3]>')] ).
cnf('0.10.2.0',plain,
and_star(not(and_star(truth,X1)),X1) = falsehood,
inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
[x,rule_9] ).
cnf('0.11.0.0',plain,
xor(xor(X1,truth),X2) = xor(X1,xor(truth,X2)),
inference(interreduction_right,[status(thm)],['0.4.2.0']) ).
cnf('0.11.0.1',plain,
xor(not(X1),X2) = xor(X1,xor(truth,X2)),
inference(reduction,[status(thm)],['0.11.0.0','0.5.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.11.1.0',plain,
xor(not(X1),X2) = xor(X1,xor(truth,X2)),
inference(weigh,[status(thm)],['0.11.0.1']),
[weight('<59,4,5,[0,0,0,0]>')] ).
cnf('0.11.2.0',plain,
xor(X1,xor(truth,X2)) = xor(not(X1),X2),
inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
[x,rule_10] ).
cnf('0.12.0.0',plain,
xor(not(X1),truth) = xor(X1,falsehood),
inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
[pos('L.2','L')] ).
cnf('0.12.0.1',plain,
not(not(X1)) = xor(X1,falsehood),
inference(reduction,[status(thm)],['0.12.0.0','0.5.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.12.0.2',plain,
not(not(X1)) = X1,
inference(reduction,[status(thm)],['0.12.0.1','0.1.2.0',theory(equality)]),
[pos('R','L')] ).
cnf('0.12.1.0',plain,
not(not(X1)) = X1,
inference(weigh,[status(thm)],['0.12.0.2']),
[weight('<19,11,3,[1,0,0,2]>')] ).
cnf('0.12.2.0',plain,
not(not(X1)) = X1,
inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
[u,rule_11] ).
cnf('0.13.0.0',plain,
truth = not(falsehood),
inference(cp,[status(thm)],['0.12.2.0','0.9.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.13.1.0',plain,
truth = not(falsehood),
inference(weigh,[status(thm)],['0.13.0.0']),
[weight('<11,12,9,[1,0,0,1]>')] ).
cnf('0.13.2.0',plain,
not(falsehood) = truth,
inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
[x,rule_12] ).
cnf('0.14.0.0',plain,
xor(not(xor(truth,X1)),X1) = falsehood,
inference(cp,[status(thm)],['0.11.2.0','0.3.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.14.1.0',plain,
xor(not(xor(truth,X1)),X1) = falsehood,
inference(weigh,[status(thm)],['0.14.0.0']),
[weight('<55,11,3,[1,0,0,0]>')] ).
cnf('0.14.2.0',plain,
xor(not(xor(truth,X1)),X1) = falsehood,
inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
[u,rule_13] ).
cnf('0.15.0.0',plain,
falsehood = xor(not(not(xor(truth,xor(truth,X1)))),X1),
inference(cp,[status(thm)],['0.14.2.0','0.11.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.15.0.1',plain,
falsehood = xor(xor(truth,xor(truth,X1)),X1),
inference(reduction,[status(thm)],['0.15.0.0','0.12.2.0',theory(equality)]),
[pos('R.1','L')] ).
cnf('0.15.0.2',plain,
falsehood = xor(xor(not(truth),X1),X1),
inference(reduction,[status(thm)],['0.15.0.1','0.11.2.0',theory(equality)]),
[pos('R.1','L')] ).
cnf('0.15.0.3',plain,
falsehood = xor(xor(falsehood,X1),X1),
inference(reduction,[status(thm)],['0.15.0.2','0.9.2.0',theory(equality)]),
[pos('R.1.1','L')] ).
cnf('0.15.1.0',plain,
falsehood = xor(xor(falsehood,X1),X1),
inference(weigh,[status(thm)],['0.15.0.3']),
[weight('<41,14,11,[1,0,0,0]>')] ).
cnf('0.15.2.0',plain,
xor(xor(falsehood,X1),X1) = falsehood,
inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
[x,rule_14] ).
cnf('0.16.0.0',plain,
xor(not(X1),xor(truth,X2)) = xor(X1,xor(not(truth),X2)),
inference(cp,[status(thm)],['0.11.2.0','0.11.2.0',theory(equality)]),
[pos('L.2','L')] ).
cnf('0.16.0.1',plain,
xor(not(not(X1)),X2) = xor(X1,xor(not(truth),X2)),
inference(reduction,[status(thm)],['0.16.0.0','0.11.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.16.0.2',plain,
xor(not(not(X1)),X2) = xor(X1,xor(falsehood,X2)),
inference(reduction,[status(thm)],['0.16.0.1','0.9.2.0',theory(equality)]),
[pos('R.2.1','L')] ).
cnf('0.16.1.0',plain,
xor(not(not(X1)),X2) = xor(X1,xor(falsehood,X2)),
inference(weigh,[status(thm)],['0.16.0.2']),
[weight('<65,11,11,[0,0,0,2]>')] ).
cnf('0.16.1.1',plain,
xor(X1,X2) = xor(X1,xor(falsehood,X2)),
inference(reduction,[status(thm)],['0.16.1.0','0.12.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.16.2.0',plain,
xor(X1,xor(falsehood,X2)) = xor(X1,X2),
inference(orient,[status(thm)],['0.16.1.1',theory(equality)]),
[x,rule_15] ).
cnf('0.17.0.0',plain,
falsehood = and_star(xor(not(truth),X1),xor(truth,X1)),
inference(cp,[status(thm)],['0.7.2.0','0.11.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.17.0.1',plain,
falsehood = and_star(xor(falsehood,X1),xor(truth,X1)),
inference(reduction,[status(thm)],['0.17.0.0','0.9.2.0',theory(equality)]),
[pos('R.1.1','L')] ).
cnf('0.17.1.0',plain,
falsehood = and_star(xor(falsehood,X1),xor(truth,X1)),
inference(weigh,[status(thm)],['0.17.0.1']),
[weight('<71,11,7,[0,0,0,1]>')] ).
cnf('0.17.2.0',plain,
and_star(xor(falsehood,X1),xor(truth,X1)) = falsehood,
inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
[x,rule_16] ).
cnf('0.18.0.0',plain,
falsehood = and_star(xor(truth,X1),xor(falsehood,X1)),
inference(cp,[status(thm)],['0.7.2.0','0.16.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.18.1.0',plain,
falsehood = and_star(xor(truth,X1),xor(falsehood,X1)),
inference(weigh,[status(thm)],['0.18.0.0']),
[weight('<71,16,7,[0,0,0,1]>')] ).
cnf('0.18.2.0',plain,
and_star(xor(truth,X1),xor(falsehood,X1)) = falsehood,
inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
[x,rule_17] ).
cnf('0.19.0.0',plain,
and_star(not(and_star(xor(truth,xor(falsehood,X1)),X1)),X1) = and_star(not(falsehood),xor(falsehood,X1)),
inference(cp,[status(thm)],['0.8.2.0','0.18.2.0',theory(equality)]),
[pos('L.1.1','L')] ).
cnf('0.19.0.1',plain,
and_star(not(and_star(xor(truth,X1),X1)),X1) = and_star(not(falsehood),xor(falsehood,X1)),
inference(reduction,[status(thm)],['0.19.0.0','0.16.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.19.0.2',plain,
and_star(not(falsehood),X1) = and_star(not(falsehood),xor(falsehood,X1)),
inference(reduction,[status(thm)],['0.19.0.1','0.7.2.0',theory(equality)]),
[pos('L.1.1','L')] ).
cnf('0.19.0.3',plain,
and_star(truth,X1) = and_star(not(falsehood),xor(falsehood,X1)),
inference(reduction,[status(thm)],['0.19.0.2','0.13.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.19.0.4',plain,
and_star(truth,X1) = and_star(truth,xor(falsehood,X1)),
inference(reduction,[status(thm)],['0.19.0.3','0.13.2.0',theory(equality)]),
[pos('R.1','L')] ).
cnf('0.19.1.0',plain,
and_star(truth,X1) = and_star(truth,xor(falsehood,X1)),
inference(weigh,[status(thm)],['0.19.0.4']),
[weight('<53,18,8,[0,0,0,2]>')] ).
cnf('0.19.2.0',plain,
and_star(truth,xor(falsehood,X1)) = and_star(truth,X1),
inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
[x,rule_18] ).
cnf('0.20.0.0',plain,
and_star(not(and_star(xor(truth,X1),truth)),truth) = and_star(not(and_star(falsehood,X1)),X1),
inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.20.0.1',plain,
not(and_star(xor(truth,X1),truth)) = and_star(not(and_star(falsehood,X1)),X1),
inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
[pos('L','L')] ).
cnf('0.20.0.2',plain,
not(xor(truth,X1)) = and_star(not(and_star(falsehood,X1)),X1),
inference(reduction,[status(thm)],['0.20.0.1','0.2.2.0',theory(equality)]),
[pos('L.1','L')] ).
cnf('0.20.1.0',plain,
not(xor(truth,X1)) = and_star(not(and_star(falsehood,X1)),X1),
inference(weigh,[status(thm)],['0.20.0.2']),
[weight('<76,8,3,[1,0,0,3]>')] ).
cnf('0.20.2.0',plain,
and_star(not(and_star(falsehood,X1)),X1) = not(xor(truth,X1)),
inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
[x,rule_19] ).
cnf('0.21.0.0',plain,
falsehood = and_star(not(and_star(truth,X1)),xor(falsehood,X1)),
inference(cp,[status(thm)],['0.10.2.0','0.19.2.0',theory(equality)]),
[pos('L.1.1','L')] ).
cnf('0.21.1.0',plain,
falsehood = and_star(not(and_star(truth,X1)),xor(falsehood,X1)),
inference(weigh,[status(thm)],['0.21.0.0']),
[weight('<89,19,10,[0,0,0,2]>')] ).
cnf('0.21.2.0',plain,
and_star(not(and_star(truth,X1)),xor(falsehood,X1)) = falsehood,
inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
[x,rule_20] ).
cnf('0.22.0.0',plain,
and_star(not(and_star(xor(truth,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(not(truth),X2),X1)),X1),
inference(cp,[status(thm)],['0.8.2.0','0.11.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.22.0.1',plain,
and_star(not(and_star(xor(truth,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),X1)),X1),
inference(reduction,[status(thm)],['0.22.0.0','0.9.2.0',theory(equality)]),
[pos('R.1.1.1.1','L')] ).
cnf('0.22.1.0',plain,
and_star(not(and_star(xor(truth,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),X1)),X1),
inference(weigh,[status(thm)],['0.22.0.1']),
[weight('<440,11,8,[0,0,0,3]>')] ).
cnf('0.22.2.0',plain,
and_star(not(and_star(xor(truth,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),X1)),X1),
inference(activate,[status(thm)],['0.22.1.0']),
[equation_2] ).
cnf('0.23.0.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.23.1.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(weigh,[status(thm)],['0.23.0.0']),
[weight('<440,16,8,[0,0,0,3]>')] ).
cnf('0.23.2.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X2),X1)),X1),
inference(activate,[status(thm)],['0.23.1.0']),
[equation_3] ).
cnf('0.24.0.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X1),X2)),X2),
inference(cp,[status(thm)],['0.23.2.0','0.8.2.0',theory(equality)]),
[pos('R','L')] ).
cnf('0.24.1.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X1),X2)),X2),
inference(weigh,[status(thm)],['0.24.0.0']),
[weight('<272,23,8,[1,1,0,0]>')] ).
cnf('0.24.2.0',plain,
and_star(not(and_star(xor(truth,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(truth,X1),X2)),X2),
inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
[u,rule_21] ).
cnf('0.25.0.0',plain,
and_star(not(and_star(xor(truth,xor(truth,X1)),X2)),X2) = and_star(not(and_star(xor(not(truth),X1),xor(falsehood,X2))),xor(falsehood,X2)),
inference(cp,[status(thm)],['0.24.2.0','0.11.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.25.0.1',plain,
and_star(not(and_star(xor(not(truth),X1),X2)),X2) = and_star(not(and_star(xor(not(truth),X1),xor(falsehood,X2))),xor(falsehood,X2)),
inference(reduction,[status(thm)],['0.25.0.0','0.11.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.25.0.2',plain,
and_star(not(and_star(xor(falsehood,X1),X2)),X2) = and_star(not(and_star(xor(not(truth),X1),xor(falsehood,X2))),xor(falsehood,X2)),
inference(reduction,[status(thm)],['0.25.0.1','0.9.2.0',theory(equality)]),
[pos('L.1.1.1.1','L')] ).
cnf('0.25.0.3',plain,
and_star(not(and_star(xor(falsehood,X1),X2)),X2) = and_star(not(and_star(xor(falsehood,X1),xor(falsehood,X2))),xor(falsehood,X2)),
inference(reduction,[status(thm)],['0.25.0.2','0.9.2.0',theory(equality)]),
[pos('R.1.1.1.1','L')] ).
cnf('0.25.1.0',plain,
and_star(not(and_star(xor(falsehood,X1),X2)),X2) = and_star(not(and_star(xor(falsehood,X1),xor(falsehood,X2))),xor(falsehood,X2)),
inference(weigh,[status(thm)],['0.25.0.3']),
[weight('<272,24,11,[1,0,0,3]>')] ).
cnf('0.25.2.0',plain,
and_star(not(and_star(xor(falsehood,X1),xor(falsehood,X2))),xor(falsehood,X2)) = and_star(not(and_star(xor(falsehood,X1),X2)),X2),
inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
[x,rule_22] ).
cnf('0.26.0.0',plain,
and_star(not(and_star(xor(falsehood,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(not(truth),X2),xor(truth,X1))),xor(truth,X1)),
inference(cp,[status(thm)],['0.22.2.0','0.11.2.0',theory(equality)]),
[pos('L.1.1.1','L')] ).
cnf('0.26.0.1',plain,
and_star(not(and_star(xor(falsehood,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),xor(truth,X1))),xor(truth,X1)),
inference(reduction,[status(thm)],['0.26.0.0','0.9.2.0',theory(equality)]),
[pos('R.1.1.1.1','L')] ).
cnf('0.26.1.0',plain,
and_star(not(and_star(xor(falsehood,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),xor(truth,X1))),xor(truth,X1)),
inference(weigh,[status(thm)],['0.26.0.1']),
[weight('<624,22,11,[1,0,0,3]>')] ).
cnf('0.26.2.0',plain,
and_star(not(and_star(xor(falsehood,X1),xor(truth,X2))),xor(truth,X2)) = and_star(not(and_star(xor(falsehood,X2),xor(truth,X1))),xor(truth,X1)),
inference(activate,[status(thm)],['0.26.1.0']),
[equation_4] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL407-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 08:24:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.97 * |/ | \/ | *
% 0.57/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.97 * A. Jaeger and B. Loechner | | *
% 0.57/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Detected structure: AlternativeWajsbergAlgebra
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ********************************** COMPLETION **********************************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ************************ Completed system: Set of rules ************************
% 0.57/0.97 % SZS status Satisfiable
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97 No. 1 xor(x1,falsehood) -> x1
% 0.57/0.97 No. 12 not(falsehood) -> truth
% 0.57/0.97 No. 8 not(truth) -> falsehood
% 0.57/0.97 No. 6 and_star(x1,falsehood) -> falsehood
% 0.57/0.97 No. 5 xor(x1,truth) -> not(x1)
% 0.57/0.97 No. 3 xor(x1,x1) -> falsehood
% 0.57/0.97 No. 2 and_star(x1,truth) -> x1
% 0.57/0.97 No. 18 and_star(truth,xor(falsehood,x1)) -> and_star(truth,x1)
% 0.57/0.97 No. 17 and_star(xor(truth,x1),xor(falsehood,x1)) -> falsehood
% 0.57/0.97 No. 16 and_star(xor(falsehood,x1),xor(truth,x1)) -> falsehood
% 0.57/0.97 No. 15 xor(x1,xor(falsehood,x2)) -> xor(x1,x2)
% 0.57/0.97 No. 14 xor(xor(falsehood,x1),x1) -> falsehood
% 0.57/0.97 No. 11 not(not(x1)) -> x1
% 0.57/0.97 No. 10 xor(x1,xor(truth,x2)) -> xor(not(x1),x2)
% 0.57/0.97 No. 7 and_star(xor(truth,x1),x1) -> falsehood
% 0.57/0.97 No. 9 and_star(not(and_star(truth,x1)),x1) -> falsehood
% 0.57/0.97 No. 20 and_star(not(and_star(truth,x1)),xor(falsehood,x1)) -> falsehood
% 0.57/0.97 No. 19 and_star(not(and_star(falsehood,x1)),x1) -> not(xor(truth,x1))
% 0.57/0.97 No. 13 xor(not(xor(truth,x1)),x1) -> falsehood
% 0.57/0.97 No. 21 and_star(not(and_star(xor(truth,x1),xor(falsehood,x2))),xor(falsehood,x2)) -> and_star(not(and_star(xor(truth,x1),x2)),x2)
% 0.57/0.97 No. 22 and_star(not(and_star(xor(falsehood,x1),xor(falsehood,x2))),xor(falsehood,x2)) -> and_star(not(and_star(xor(falsehood,x1),x2)),x2)
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 ********************************************************************************
% 0.57/0.97 ********************** Completed system: Set of equations **********************
% 0.57/0.97 ********************************************************************************
% 0.57/0.97
% 0.57/0.97 Nr. -1 and_star(not(and_star(xor(truth,x1),x2)),x2) = and_star(not(and_star(xor(truth,x2),x1)),x1)
% 0.57/0.97 Nr. -4 and_star(not(and_star(xor(falsehood,x1),xor(truth,x2))),xor(truth,x2)) = and_star(not(and_star(xor(falsehood,x2),xor(truth,x1))),xor(truth,x1))
% 0.57/0.97 Nr. -2 and_star(not(and_star(xor(truth,x1),xor(truth,x2))),xor(truth,x2)) = and_star(not(and_star(xor(falsehood,x2),x1)),x1)
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 No goals were specified.
% 0.57/0.97 #START OF PROOF
% 0.57/0.97 % SZS output start Saturation
% See solution above
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_21636_n019
% 0.57/0.97 CPs.gen 204
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 53
% 0.57/0.97 R 22
% 0.57/0.97 E 4
% 0.57/0.97 vsize 6.5M
% 0.57/0.97 rss 3.8M
% 0.57/0.97 process.time 0.003s
% 0.57/0.97 wallclock.time 0.003s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: System completed.
% 0.57/0.97 % SZS status Satisfiable
%------------------------------------------------------------------------------