%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SWX203-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n025.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 5 07:08:05 PM UTC 2026
% Result : Unsatisfiable 1.93s 2.35s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX203-1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : woody %s
% 0.16/0.34 % Computer : n025.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 11:27:13 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.59/1.02 ********************************************************************************
% 0.59/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.02 * |/ | \/ | *
% 0.59/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.02 * A. Jaeger and B. Loechner | | *
% 0.59/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.02 ********************************************************************************
% 0.59/1.02
% 0.59/1.02
% 0.59/1.02 Goals:
% 0.59/1.02 ------
% 0.59/1.02
% 0.59/1.02 ( 1) true ?= false
% 0.59/1.02 using narrowing to prove btrue ?= eq2(psorted_rev(x1),bfalse)
% 0.59/1.02
% 0.59/1.02 Detected structure: Orkus
% 0.59/1.02 ********************************************************************************
% 0.59/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.02 ********************************************************************************
% 0.59/1.02
% 1.93/2.35 joined goal: 1 btrue ?= eq2(psorted_rev(x1),bfalse) to false
% 1.93/2.35 goal joined
% 1.93/2.35 % SZS status Unsatisfiable
% 1.93/2.35 #START OF PROOF
% 1.93/2.35 % SZS output start CNFRefutation
% 1.93/2.35 cnf('0.1.0.0',axiom,
% 1.93/2.35 ( X1 = append(nil,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.1.1.0',plain,
% 1.93/2.35 ( X1 = append(nil,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.1.0.0']),
% 1.93/2.35 [weight('<0,0,0,[0,0,0,1]>')]).
% 1.93/2.35 cnf('0.1.2.0',plain,
% 1.93/2.35 ( append(nil,X1) = X1 ),
% 1.93/2.35 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_1]).
% 1.93/2.35 cnf('0.2.0.0',axiom,
% 1.93/2.35 ( X1 = impl(btrue,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.2.1.0',plain,
% 1.93/2.35 ( X1 = impl(btrue,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.2.0.0']),
% 1.93/2.35 [weight('<1,0,0,[0,0,0,2]>')]).
% 1.93/2.35 cnf('0.2.2.0',plain,
% 1.93/2.35 ( impl(btrue,X1) = X1 ),
% 1.93/2.35 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_2]).
% 1.93/2.35 cnf('0.3.0.0',axiom,
% 1.93/2.35 ( X1 = orb(bfalse,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.3.1.0',plain,
% 1.93/2.35 ( X1 = orb(bfalse,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.3.0.0']),
% 1.93/2.35 [weight('<2,0,0,[0,0,0,3]>')]).
% 1.93/2.35 cnf('0.3.2.0',plain,
% 1.93/2.35 ( orb(bfalse,X1) = X1 ),
% 1.93/2.35 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_3]).
% 1.93/2.35 cnf('0.4.0.0',axiom,
% 1.93/2.35 ( X1 = andb(btrue,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.4.1.0',plain,
% 1.93/2.35 ( X1 = andb(btrue,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.4.0.0']),
% 1.93/2.35 [weight('<3,0,0,[0,0,0,4]>')]).
% 1.93/2.35 cnf('0.4.2.0',plain,
% 1.93/2.35 ( andb(btrue,X1) = X1 ),
% 1.93/2.35 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_4]).
% 1.93/2.35 cnf('0.6.0.0',axiom,
% 1.93/2.35 ( btrue = eq2(X1,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.6.1.0',plain,
% 1.93/2.35 ( btrue = eq2(X1,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.6.0.0']),
% 1.93/2.35 [weight('<5,0,0,[0,0,0,6]>')]).
% 1.93/2.35 cnf('0.6.2.0',plain,
% 1.93/2.35 ( eq2(X1,X1) = btrue ),
% 1.93/2.35 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_6]).
% 1.93/2.35 cnf('0.7.0.0',axiom,
% 1.93/2.35 ( btrue = leqNat(z,X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.7.1.0',plain,
% 1.93/2.35 ( btrue = leqNat(z,X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.7.0.0']),
% 1.93/2.35 [weight('<6,0,0,[0,0,0,7]>')]).
% 1.93/2.35 cnf('0.7.2.0',plain,
% 1.93/2.35 ( leqNat(z,X1) = btrue ),
% 1.93/2.35 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_7]).
% 1.93/2.35 cnf('0.8.0.0',axiom,
% 1.93/2.35 ( btrue = sorted(cons(X1,nil)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.8.1.0',plain,
% 1.93/2.35 ( btrue = sorted(cons(X1,nil)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.8.0.0']),
% 1.93/2.35 [weight('<7,0,0,[0,0,0,8]>')]).
% 1.93/2.35 cnf('0.8.2.0',plain,
% 1.93/2.35 ( sorted(cons(X1,nil)) = btrue ),
% 1.93/2.35 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_8]).
% 1.93/2.35 cnf('0.10.0.0',axiom,
% 1.93/2.35 ( btrue = unique(nil) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.10.1.0',plain,
% 1.93/2.35 ( btrue = unique(nil) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.10.0.0']),
% 1.93/2.35 [weight('<9,0,0,[0,0,0,10]>')]).
% 1.93/2.35 cnf('0.10.2.0',plain,
% 1.93/2.35 ( unique(nil) = btrue ),
% 1.93/2.35 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_10]).
% 1.93/2.35 cnf('0.13.0.0',axiom,
% 1.93/2.35 ( bfalse = eq(s(X1),z) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.13.1.0',plain,
% 1.93/2.35 ( bfalse = eq(s(X1),z) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.13.0.0']),
% 1.93/2.35 [weight('<12,0,0,[0,0,0,13]>')]).
% 1.93/2.35 cnf('0.13.2.0',plain,
% 1.93/2.35 ( eq(s(X1),z) = bfalse ),
% 1.93/2.35 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_13]).
% 1.93/2.35 cnf('0.16.0.0',axiom,
% 1.93/2.35 ( bfalse = eq2(bfalse,btrue) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.16.1.0',plain,
% 1.93/2.35 ( bfalse = eq2(bfalse,btrue) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.16.0.0']),
% 1.93/2.35 [weight('<15,0,0,[0,0,0,16]>')]).
% 1.93/2.35 cnf('0.16.2.0',plain,
% 1.93/2.35 ( eq2(bfalse,btrue) = bfalse ),
% 1.93/2.35 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_16]).
% 1.93/2.35 cnf('0.17.0.0',axiom,
% 1.93/2.35 ( bfalse = leqNat(s(X1),z) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.17.1.0',plain,
% 1.93/2.35 ( bfalse = leqNat(s(X1),z) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.17.0.0']),
% 1.93/2.35 [weight('<16,0,0,[0,0,0,17]>')]).
% 1.93/2.35 cnf('0.17.2.0',plain,
% 1.93/2.35 ( leqNat(s(X1),z) = bfalse ),
% 1.93/2.35 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_17]).
% 1.93/2.35 cnf('0.18.0.0',axiom,
% 1.93/2.35 ( bfalse = elemNat(X1,nil) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.18.1.0',plain,
% 1.93/2.35 ( bfalse = elemNat(X1,nil) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.18.0.0']),
% 1.93/2.35 [weight('<17,0,0,[0,0,0,18]>')]).
% 1.93/2.35 cnf('0.18.2.0',plain,
% 1.93/2.35 ( elemNat(X1,nil) = bfalse ),
% 1.93/2.35 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_18]).
% 1.93/2.35 cnf('0.21.0.0',axiom,
% 1.93/2.35 ( s(lengthNat(X1)) = lengthNat(cons(X2,X1)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.21.1.0',plain,
% 1.93/2.35 ( s(lengthNat(X1)) = lengthNat(cons(X2,X1)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.21.0.0']),
% 1.93/2.35 [weight('<20,0,0,[0,0,0,21]>')]).
% 1.93/2.35 cnf('0.21.2.0',plain,
% 1.93/2.35 ( lengthNat(cons(X1,X2)) = s(lengthNat(X2)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_21]).
% 1.93/2.35 cnf('0.22.0.0',axiom,
% 1.93/2.35 ( cons(X1,append(X2,X3)) = append(cons(X1,X2),X3) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.22.1.0',plain,
% 1.93/2.35 ( cons(X1,append(X2,X3)) = append(cons(X1,X2),X3) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.22.0.0']),
% 1.93/2.35 [weight('<21,0,0,[0,0,0,22]>')]).
% 1.93/2.35 cnf('0.22.2.0',plain,
% 1.93/2.35 ( cons(X1,append(X2,X3)) = append(cons(X1,X2),X3) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_22]).
% 1.93/2.35 cnf('0.23.0.0',axiom,
% 1.93/2.35 ( nil = rev(nil) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.23.1.0',plain,
% 1.93/2.35 ( nil = rev(nil) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.23.0.0']),
% 1.93/2.35 [weight('<22,0,0,[0,0,0,23]>')]).
% 1.93/2.35 cnf('0.23.2.0',plain,
% 1.93/2.35 ( rev(nil) = nil ),
% 1.93/2.35 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_23]).
% 1.93/2.35 cnf('0.25.0.0',axiom,
% 1.93/2.35 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.25.1.0',plain,
% 1.93/2.35 ( eq(X1,X2) = eq(s(X1),s(X2)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.25.0.0']),
% 1.93/2.35 [weight('<24,0,0,[0,0,0,25]>')]).
% 1.93/2.35 cnf('0.25.2.0',plain,
% 1.93/2.35 ( eq(s(X1),s(X2)) = eq(X1,X2) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_25]).
% 1.93/2.35 cnf('0.26.0.0',axiom,
% 1.93/2.35 ( leqNat(X1,X2) = leqNat(s(X1),s(X2)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.26.1.0',plain,
% 1.93/2.35 ( leqNat(X1,X2) = leqNat(s(X1),s(X2)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.26.0.0']),
% 1.93/2.35 [weight('<25,0,0,[0,0,0,26]>')]).
% 1.93/2.35 cnf('0.26.2.0',plain,
% 1.93/2.35 ( leqNat(s(X1),s(X2)) = leqNat(X1,X2) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_26]).
% 1.93/2.35 cnf('0.27.0.0',axiom,
% 1.93/2.35 ( sorted(cons(X1,cons(X2,X3))) = andb(leqNat(X1,X2),sorted(cons(X2,X3))) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.27.1.0',plain,
% 1.93/2.35 ( sorted(cons(X1,cons(X2,X3))) = andb(leqNat(X1,X2),sorted(cons(X2,X3))) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.27.0.0']),
% 1.93/2.35 [weight('<26,0,0,[0,0,0,27]>')]).
% 1.93/2.35 cnf('0.27.2.0',plain,
% 1.93/2.35 ( andb(leqNat(X1,X2),sorted(cons(X2,X3))) = sorted(cons(X1,cons(X2,X3))) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_27]).
% 1.93/2.35 cnf('0.28.0.0',axiom,
% 1.93/2.35 ( rev(cons(X1,X2)) = append(rev(X2),cons(X1,nil)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.28.1.0',plain,
% 1.93/2.35 ( rev(cons(X1,X2)) = append(rev(X2),cons(X1,nil)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.28.0.0']),
% 1.93/2.35 [weight('<27,0,0,[0,0,0,28]>')]).
% 1.93/2.35 cnf('0.28.2.0',plain,
% 1.93/2.35 ( append(rev(X1),cons(X2,nil)) = rev(cons(X2,X1)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_28]).
% 1.93/2.35 cnf('0.29.0.0',axiom,
% 1.93/2.35 ( unique(X1) = aux(X2,X1,bfalse) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.29.1.0',plain,
% 1.93/2.35 ( unique(X1) = aux(X2,X1,bfalse) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.29.0.0']),
% 1.93/2.35 [weight('<28,0,0,[0,0,0,29]>')]).
% 1.93/2.35 cnf('0.29.2.0',plain,
% 1.93/2.35 ( aux(X1,X2,bfalse) = unique(X2) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_29]).
% 1.93/2.35 cnf('0.30.0.0',axiom,
% 1.93/2.35 ( unique(cons(X1,X2)) = aux(X1,X2,elemNat(X1,X2)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.30.1.0',plain,
% 1.93/2.35 ( unique(cons(X1,X2)) = aux(X1,X2,elemNat(X1,X2)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.30.0.0']),
% 1.93/2.35 [weight('<29,0,0,[0,0,0,30]>')]).
% 1.93/2.35 cnf('0.30.2.0',plain,
% 1.93/2.35 ( aux(X1,X2,elemNat(X1,X2)) = unique(cons(X1,X2)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_30]).
% 1.93/2.35 cnf('0.31.0.0',axiom,
% 1.93/2.35 ( impl(eq2(sorted(rev(X1)),btrue),impl(eq2(unique(X1),btrue),eq2(leqNat(lengthNat(X1),s(s(s(z)))),btrue))) = psorted_rev(X1) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.31.1.0',plain,
% 1.93/2.35 ( impl(eq2(sorted(rev(X1)),btrue),impl(eq2(unique(X1),btrue),eq2(leqNat(lengthNat(X1),s(s(s(z)))),btrue))) = psorted_rev(X1) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.31.0.0']),
% 1.93/2.35 [weight('<30,0,0,[0,0,0,31]>')]).
% 1.93/2.35 cnf('0.31.2.0',plain,
% 1.93/2.35 ( impl(eq2(sorted(rev(X1)),btrue),impl(eq2(unique(X1),btrue),eq2(leqNat(lengthNat(X1),s(s(s(z)))),btrue))) = psorted_rev(X1) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_31]).
% 1.93/2.35 cnf('0.32.0.0',axiom,
% 1.93/2.35 ( elemNat(X1,cons(X2,X3)) = orb(eq(X1,X2),elemNat(X1,X3)) ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.32.1.0',plain,
% 1.93/2.35 ( elemNat(X1,cons(X2,X3)) = orb(eq(X1,X2),elemNat(X1,X3)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.32.0.0']),
% 1.93/2.35 [weight('<31,0,0,[0,0,0,32]>')]).
% 1.93/2.35 cnf('0.32.2.0',plain,
% 1.93/2.35 ( orb(eq(X1,X2),elemNat(X1,X3)) = elemNat(X1,cons(X2,X3)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 1.93/2.35 [x,rule_32]).
% 1.93/2.35 cnf('0.33.0.0',axiom,
% 1.93/2.35 ( eq1(X1,X1) = true ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.33.1.0',plain,
% 1.93/2.35 ( eq1(X1,X1) = true ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.33.0.0']),
% 1.93/2.35 [weight('<32,0,0,[0,0,0,33]>')]).
% 1.93/2.35 cnf('0.33.2.0',plain,
% 1.93/2.35 ( eq1(X1,X1) = true ),
% 1.93/2.35 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_33]).
% 1.93/2.35 cnf('0.34.0.0',axiom,
% 1.93/2.35 ( eq1(btrue,eq2(psorted_rev(X1),bfalse)) = false ),
% 1.93/2.35 file('/tmp/WALDMEISTER_16455_n025')).
% 1.93/2.35 cnf('0.34.1.0',plain,
% 1.93/2.35 ( eq1(btrue,eq2(psorted_rev(X1),bfalse)) = false ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.34.0.0']),
% 1.93/2.35 [weight('<33,0,0,[0,0,0,34]>')]).
% 1.93/2.35 cnf('0.34.2.0',plain,
% 1.93/2.35 ( eq1(btrue,eq2(psorted_rev(X1),bfalse)) = false ),
% 1.93/2.35 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_34]).
% 1.93/2.35 cnf('0.36.0.0',plain,
% 1.93/2.35 ( unique(cons(X1,nil)) = aux(X1,nil,bfalse) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.30.2.0','0.18.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.3','L')]).
% 1.93/2.35 cnf('0.36.0.1',plain,
% 1.93/2.35 ( unique(cons(X1,nil)) = unique(nil) ),
% 1.93/2.35 inference(reduction,[status(thm)],['0.36.0.0','0.29.2.0',theory(equality)]),
% 1.93/2.35 [pos('R','L')]).
% 1.93/2.35 cnf('0.36.0.2',plain,
% 1.93/2.35 ( unique(cons(X1,nil)) = btrue ),
% 1.93/2.35 inference(reduction,[status(thm)],['0.36.0.1','0.10.2.0',theory(equality)]),
% 1.93/2.35 [pos('R','L')]).
% 1.93/2.35 cnf('0.36.1.0',plain,
% 1.93/2.35 ( unique(cons(X1,nil)) = btrue ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.36.0.2']),
% 1.93/2.35 [weight('<29,30,18,[1,0,0,3]>')]).
% 1.93/2.35 cnf('0.36.2.0',plain,
% 1.93/2.35 ( unique(cons(X1,nil)) = btrue ),
% 1.93/2.35 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_36]).
% 1.93/2.35 cnf('0.37.0.0',plain,
% 1.93/2.35 ( rev(cons(X1,nil)) = append(nil,cons(X1,nil)) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.28.2.0','0.23.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.1','L')]).
% 1.93/2.35 cnf('0.37.0.1',plain,
% 1.93/2.35 ( rev(cons(X1,nil)) = cons(X1,nil) ),
% 1.93/2.35 inference(reduction,[status(thm)],['0.37.0.0','0.1.2.0',theory(equality)]),
% 1.93/2.35 [pos('R','L')]).
% 1.93/2.35 cnf('0.37.1.0',plain,
% 1.93/2.35 ( rev(cons(X1,nil)) = cons(X1,nil) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.37.0.1']),
% 1.93/2.35 [weight('<39,28,23,[1,0,0,1]>')]).
% 1.93/2.35 cnf('0.37.2.0',plain,
% 1.93/2.35 ( rev(cons(X1,nil)) = cons(X1,nil) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_37]).
% 1.93/2.35 cnf('0.40.0.0',plain,
% 1.93/2.35 ( append(cons(X1,nil),X2) = cons(X1,X2) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.22.2.0','0.1.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.2','L')]).
% 1.93/2.35 cnf('0.40.1.0',plain,
% 1.93/2.35 ( append(cons(X1,nil),X2) = cons(X1,X2) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.40.0.0']),
% 1.93/2.35 [weight('<53,22,1,[1,0,0,2]>')]).
% 1.93/2.35 cnf('0.40.2.0',plain,
% 1.93/2.35 ( append(cons(X1,nil),X2) = cons(X1,X2) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_40]).
% 1.93/2.35 cnf('0.42.0.0',plain,
% 1.93/2.35 ( elemNat(X1,cons(X2,nil)) = orb(eq(X1,X2),bfalse) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.32.2.0','0.18.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.2','L')]).
% 1.93/2.35 cnf('0.42.1.0',plain,
% 1.93/2.35 ( elemNat(X1,cons(X2,nil)) = orb(eq(X1,X2),bfalse) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.42.0.0']),
% 1.93/2.35 [weight('<65,32,18,[1,0,0,4]>')]).
% 1.93/2.35 cnf('0.42.2.0',plain,
% 1.93/2.35 ( elemNat(X1,cons(X2,nil)) = orb(eq(X1,X2),bfalse) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_42]).
% 1.93/2.35 cnf('0.46.0.0',plain,
% 1.93/2.35 ( sorted(cons(z,cons(X1,X2))) = andb(btrue,sorted(cons(X1,X2))) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.27.2.0','0.7.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.1','L')]).
% 1.93/2.35 cnf('0.46.0.1',plain,
% 1.93/2.35 ( sorted(cons(z,cons(X1,X2))) = sorted(cons(X1,X2)) ),
% 1.93/2.35 inference(reduction,[status(thm)],['0.46.0.0','0.4.2.0',theory(equality)]),
% 1.93/2.35 [pos('R','L')]).
% 1.93/2.35 cnf('0.46.1.0',plain,
% 1.93/2.35 ( sorted(cons(z,cons(X1,X2))) = sorted(cons(X1,X2)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.46.0.1']),
% 1.93/2.35 [weight('<76,27,7,[1,0,0,1]>')]).
% 1.93/2.35 cnf('0.46.2.0',plain,
% 1.93/2.35 ( sorted(cons(z,cons(X1,X2))) = sorted(cons(X1,X2)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_46]).
% 1.93/2.35 cnf('0.47.0.0',plain,
% 1.93/2.35 ( elemNat(s(X1),cons(z,X2)) = orb(bfalse,elemNat(s(X1),X2)) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.32.2.0','0.13.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.1','L')]).
% 1.93/2.35 cnf('0.47.0.1',plain,
% 1.93/2.35 ( elemNat(s(X1),cons(z,X2)) = elemNat(s(X1),X2) ),
% 1.93/2.35 inference(reduction,[status(thm)],['0.47.0.0','0.3.2.0',theory(equality)]),
% 1.93/2.35 [pos('R','L')]).
% 1.93/2.35 cnf('0.47.1.0',plain,
% 1.93/2.35 ( elemNat(s(X1),cons(z,X2)) = elemNat(s(X1),X2) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.47.0.1']),
% 1.93/2.35 [weight('<76,32,13,[1,0,0,1]>')]).
% 1.93/2.35 cnf('0.47.2.0',plain,
% 1.93/2.35 ( elemNat(s(X1),cons(z,X2)) = elemNat(s(X1),X2) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_47]).
% 1.93/2.35 cnf('0.52.0.0',plain,
% 1.93/2.35 ( append(cons(X1,cons(X2,nil)),X3) = cons(X1,cons(X2,X3)) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.22.2.0','0.40.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.2','L')]).
% 1.93/2.35 cnf('0.52.1.0',plain,
% 1.93/2.35 ( append(cons(X1,cons(X2,nil)),X3) = cons(X1,cons(X2,X3)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.52.0.0']),
% 1.93/2.35 [weight('<103,40,22,[0,0,0,2]>')]).
% 1.93/2.35 cnf('0.52.2.0',plain,
% 1.93/2.35 ( append(cons(X1,cons(X2,nil)),X3) = cons(X1,cons(X2,X3)) ),
% 1.93/2.35 inference(orient,[status(thm)],['0.52.1.0',theory(equality)]),
% 1.93/2.35 [u,rule_52]).
% 1.93/2.35 cnf('0.55.0.0',plain,
% 1.93/2.35 ( rev(cons(X1,cons(X2,nil))) = append(cons(X2,nil),cons(X1,nil)) ),
% 1.93/2.35 inference(cp,[status(thm)],['0.28.2.0','0.37.2.0',theory(equality)]),
% 1.93/2.35 [pos('L.1','L')]).
% 1.93/2.35 cnf('0.55.1.0',plain,
% 1.93/2.35 ( rev(cons(X1,cons(X2,nil))) = append(cons(X2,nil),cons(X1,nil)) ),
% 1.93/2.35 inference(weigh,[status(thm)],['0.55.0.0']),
% 1.93/2.36 [weight('<111,37,28,[0,0,0,1]>')]).
% 1.93/2.36 cnf('0.55.1.1',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,nil))) = cons(X2,cons(X1,nil)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.55.1.0','0.40.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.55.2.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,nil))) = cons(X2,cons(X1,nil)) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.55.1.1',theory(equality)]),
% 1.93/2.36 [u,rule_55]).
% 1.93/2.36 cnf('0.62.0.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(z,X3))) = orb(eq(s(X1),X2),elemNat(s(X1),X3)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.32.2.0','0.47.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2','L')]).
% 1.93/2.36 cnf('0.62.0.1',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(z,X3))) = elemNat(s(X1),cons(X2,X3)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.62.0.0','0.32.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.62.1.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(z,X3))) = elemNat(s(X1),cons(X2,X3)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.62.0.1']),
% 1.93/2.36 [weight('<134,47,32,[0,0,0,4]>')]).
% 1.93/2.36 cnf('0.62.2.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(z,X3))) = elemNat(s(X1),cons(X2,X3)) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.62.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_62]).
% 1.93/2.36 cnf('0.63.0.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),X3)) = orb(eq(X1,X2),elemNat(s(X1),X3)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.32.2.0','0.25.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.63.1.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),X3)) = orb(eq(X1,X2),elemNat(s(X1),X3)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.63.0.0']),
% 1.93/2.36 [weight('<143,32,25,[1,0,0,1]>')]).
% 1.93/2.36 cnf('0.63.2.0',plain,
% 1.93/2.36 ( orb(eq(X1,X2),elemNat(s(X1),X3)) = elemNat(s(X1),cons(s(X2),X3)) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.63.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_63]).
% 1.93/2.36 cnf('0.67.0.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,nil)))) = append(cons(X3,cons(X2,nil)),cons(X1,nil)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.28.2.0','0.55.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.67.0.1',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,nil)))) = cons(X3,cons(X2,cons(X1,nil))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.67.0.0','0.52.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.67.1.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,nil)))) = cons(X3,cons(X2,cons(X1,nil))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.67.0.1']),
% 1.93/2.36 [weight('<143,55,28,[0,0,0,1]>')]).
% 1.93/2.36 cnf('0.67.2.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,nil)))) = cons(X3,cons(X2,cons(X1,nil))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.67.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_67]).
% 1.93/2.36 cnf('0.74.0.0',plain,
% 1.93/2.36 ( elemNat(X1,cons(X2,cons(X3,nil))) = orb(eq(X1,X2),orb(eq(X1,X3),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.32.2.0','0.42.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2','L')]).
% 1.93/2.36 cnf('0.74.1.0',plain,
% 1.93/2.36 ( elemNat(X1,cons(X2,cons(X3,nil))) = orb(eq(X1,X2),orb(eq(X1,X3),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.74.0.0']),
% 1.93/2.36 [weight('<169,42,32,[0,0,0,4]>')]).
% 1.93/2.36 cnf('0.74.2.0',plain,
% 1.93/2.36 ( orb(eq(X1,X2),orb(eq(X1,X3),bfalse)) = elemNat(X1,cons(X2,cons(X3,nil))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.74.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_74]).
% 1.93/2.36 cnf('0.80.0.0',plain,
% 1.93/2.36 ( append(cons(X1,cons(X2,cons(X3,nil))),X4) = cons(X1,cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.22.2.0','0.52.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2','L')]).
% 1.93/2.36 cnf('0.80.1.0',plain,
% 1.93/2.36 ( append(cons(X1,cons(X2,cons(X3,nil))),X4) = cons(X1,cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.80.0.0']),
% 1.93/2.36 [weight('<169,52,22,[0,0,0,2]>')]).
% 1.93/2.36 cnf('0.80.2.0',plain,
% 1.93/2.36 ( append(cons(X1,cons(X2,cons(X3,nil))),X4) = cons(X1,cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.80.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_80]).
% 1.93/2.36 cnf('0.81.0.0',plain,
% 1.93/2.36 ( sorted(cons(s(X1),cons(s(X2),X3))) = andb(leqNat(X1,X2),sorted(cons(s(X2),X3))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.27.2.0','0.26.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.81.1.0',plain,
% 1.93/2.36 ( sorted(cons(s(X1),cons(s(X2),X3))) = andb(leqNat(X1,X2),sorted(cons(s(X2),X3))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.81.0.0']),
% 1.93/2.36 [weight('<179,27,26,[1,0,0,1]>')]).
% 1.93/2.36 cnf('0.81.2.0',plain,
% 1.93/2.36 ( andb(leqNat(X1,X2),sorted(cons(s(X2),X3))) = sorted(cons(s(X1),cons(s(X2),X3))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.81.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_81]).
% 1.93/2.36 cnf('0.83.0.0',plain,
% 1.93/2.36 ( sorted(cons(s(z),cons(s(X1),X2))) = andb(btrue,sorted(cons(s(X1),X2))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.81.2.0','0.7.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.83.0.1',plain,
% 1.93/2.36 ( sorted(cons(s(z),cons(s(X1),X2))) = sorted(cons(s(X1),X2)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.83.0.0','0.4.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.83.1.0',plain,
% 1.93/2.36 ( sorted(cons(s(z),cons(s(X1),X2))) = sorted(cons(s(X1),X2)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.83.0.1']),
% 1.93/2.36 [weight('<125,81,7,[1,0,0,1]>')]).
% 1.93/2.36 cnf('0.83.2.0',plain,
% 1.93/2.36 ( sorted(cons(s(z),cons(s(X1),X2))) = sorted(cons(s(X1),X2)) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.83.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_83]).
% 1.93/2.36 cnf('0.87.0.0',plain,
% 1.93/2.36 ( unique(cons(X1,cons(X2,nil))) = aux(X1,cons(X2,nil),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.30.2.0','0.42.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.87.1.0',plain,
% 1.93/2.36 ( unique(cons(X1,cons(X2,nil))) = aux(X1,cons(X2,nil),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.87.0.0']),
% 1.93/2.36 [weight('<186,42,30,[0,0,0,3]>')]).
% 1.93/2.36 cnf('0.87.2.0',plain,
% 1.93/2.36 ( aux(X1,cons(X2,nil),orb(eq(X1,X2),bfalse)) = unique(cons(X1,cons(X2,nil))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.87.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_87]).
% 1.93/2.36 cnf('0.88.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = aux(s(X1),cons(z,nil),orb(bfalse,bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.87.2.0','0.13.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3.1','L')]).
% 1.93/2.36 cnf('0.88.0.1',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = aux(s(X1),cons(z,nil),bfalse) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.88.0.0','0.3.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.3','L')]).
% 1.93/2.36 cnf('0.88.0.2',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = unique(cons(z,nil)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.88.0.1','0.29.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.88.0.3',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = btrue ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.88.0.2','0.36.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.88.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = btrue ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.88.0.3']),
% 1.93/2.36 [weight('<71,87,13,[1,0,0,6]>')]).
% 1.93/2.36 cnf('0.88.2.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(z,nil))) = btrue ),
% 1.93/2.36 inference(orient,[status(thm)],['0.88.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_88]).
% 1.93/2.36 cnf('0.107.0.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(X3,cons(z,X4)))) = orb(eq(s(X1),X2),elemNat(s(X1),cons(X3,X4))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.32.2.0','0.62.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2','L')]).
% 1.93/2.36 cnf('0.107.0.1',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(X3,cons(z,X4)))) = elemNat(s(X1),cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.107.0.0','0.32.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.107.1.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(X3,cons(z,X4)))) = elemNat(s(X1),cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.107.0.1']),
% 1.93/2.36 [weight('<208,62,32,[0,0,0,4]>')]).
% 1.93/2.36 cnf('0.107.2.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(X2,cons(X3,cons(z,X4)))) = elemNat(s(X1),cons(X2,cons(X3,X4))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_107]).
% 1.93/2.36 cnf('0.117.0.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(X3,nil))) = orb(eq(X1,X2),orb(eq(s(X1),X3),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.63.2.0','0.42.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2','L')]).
% 1.93/2.36 cnf('0.117.1.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(X3,nil))) = orb(eq(X1,X2),orb(eq(s(X1),X3),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.117.0.0']),
% 1.93/2.36 [weight('<219,63,42,[1,0,0,4]>')]).
% 1.93/2.36 cnf('0.117.2.0',plain,
% 1.93/2.36 ( orb(eq(X1,X2),orb(eq(s(X1),X3),bfalse)) = elemNat(s(X1),cons(s(X2),cons(X3,nil))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.117.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_117]).
% 1.93/2.36 cnf('0.118.0.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(s(X3),nil))) = orb(eq(X1,X2),orb(eq(X1,X3),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.117.2.0','0.25.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2.1','L')]).
% 1.93/2.36 cnf('0.118.0.1',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(s(X3),nil))) = elemNat(X1,cons(X2,cons(X3,nil))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.118.0.0','0.74.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.118.1.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(s(X3),nil))) = elemNat(X1,cons(X2,cons(X3,nil))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.118.0.1']),
% 1.93/2.36 [weight('<197,117,25,[1,0,0,5]>')]).
% 1.93/2.36 cnf('0.118.2.0',plain,
% 1.93/2.36 ( elemNat(s(X1),cons(s(X2),cons(s(X3),nil))) = elemNat(X1,cons(X2,cons(X3,nil))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.118.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_118]).
% 1.93/2.36 cnf('0.129.0.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,cons(X4,nil))))) = append(cons(X4,cons(X3,cons(X2,nil))),cons(X1,nil)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.28.2.0','0.67.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.129.1.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,cons(X4,nil))))) = append(cons(X4,cons(X3,cons(X2,nil))),cons(X1,nil)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.129.0.0']),
% 1.93/2.36 [weight('<263,67,28,[0,0,0,1]>')]).
% 1.93/2.36 cnf('0.129.1.1',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,cons(X4,nil))))) = cons(X4,cons(X3,cons(X2,cons(X1,nil)))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.129.1.0','0.80.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.129.2.0',plain,
% 1.93/2.36 ( rev(cons(X1,cons(X2,cons(X3,cons(X4,nil))))) = cons(X4,cons(X3,cons(X2,cons(X1,nil)))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.129.1.1',theory(equality)]),
% 1.93/2.36 [u,rule_129]).
% 1.93/2.36 cnf('0.218.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(z,X3)))) = aux(s(X1),cons(X2,cons(z,X3)),elemNat(s(X1),cons(X2,X3))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.30.2.0','0.62.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.218.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(z,X3)))) = aux(s(X1),cons(X2,cons(z,X3)),elemNat(s(X1),cons(X2,X3))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.218.0.0']),
% 1.93/2.36 [weight('<359,62,30,[0,0,0,3]>')]).
% 1.93/2.36 cnf('0.218.2.0',plain,
% 1.93/2.36 ( aux(s(X1),cons(X2,cons(z,X3)),elemNat(s(X1),cons(X2,X3))) = unique(cons(s(X1),cons(X2,cons(z,X3)))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.218.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_218]).
% 1.93/2.36 cnf('0.226.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(z,nil)))) = aux(s(X1),cons(X2,cons(z,nil)),orb(eq(s(X1),X2),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.218.2.0','0.42.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.226.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(z,nil)))) = aux(s(X1),cons(X2,cons(z,nil)),orb(eq(s(X1),X2),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.226.0.0']),
% 1.93/2.36 [weight('<359,218,42,[1,0,0,8]>')]).
% 1.93/2.36 cnf('0.226.2.0',plain,
% 1.93/2.36 ( aux(s(X1),cons(X2,cons(z,nil)),orb(eq(s(X1),X2),bfalse)) = unique(cons(s(X1),cons(X2,cons(z,nil)))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.226.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_226]).
% 1.93/2.36 cnf('0.261.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(s(X2),cons(z,nil)))) = aux(s(X1),cons(s(X2),cons(z,nil)),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.226.2.0','0.25.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3.1','L')]).
% 1.93/2.36 cnf('0.261.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(s(X2),cons(z,nil)))) = aux(s(X1),cons(s(X2),cons(z,nil)),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.261.0.0']),
% 1.93/2.36 [weight('<374,226,25,[1,0,0,9]>')]).
% 1.93/2.36 cnf('0.261.2.0',plain,
% 1.93/2.36 ( aux(s(X1),cons(s(X2),cons(z,nil)),orb(eq(X1,X2),bfalse)) = unique(cons(s(X1),cons(s(X2),cons(z,nil)))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.261.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_260]).
% 1.93/2.36 cnf('0.262.0.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = aux(s(s(X1)),cons(s(z),cons(z,nil)),orb(bfalse,bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.261.2.0','0.13.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3.1','L')]).
% 1.93/2.36 cnf('0.262.0.1',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = aux(s(s(X1)),cons(s(z),cons(z,nil)),bfalse) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.262.0.0','0.3.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.3','L')]).
% 1.93/2.36 cnf('0.262.0.2',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = unique(cons(s(z),cons(z,nil))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.262.0.1','0.29.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.262.0.3',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = btrue ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.262.0.2','0.88.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.262.1.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = btrue ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.262.0.3']),
% 1.93/2.36 [weight('<155,261,13,[1,0,0,10]>')]).
% 1.93/2.36 cnf('0.262.2.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = btrue ),
% 1.93/2.36 inference(orient,[status(thm)],['0.262.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_261]).
% 1.93/2.36 cnf('0.401.0.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(X1)),cons(s(s(X2)),X3))) = andb(leqNat(X1,X2),sorted(cons(s(s(X2)),X3))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.81.2.0','0.26.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.1','L')]).
% 1.93/2.36 cnf('0.401.1.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(X1)),cons(s(s(X2)),X3))) = andb(leqNat(X1,X2),sorted(cons(s(s(X2)),X3))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.401.0.0']),
% 1.93/2.36 [weight('<440,81,26,[1,0,0,1]>')]).
% 1.93/2.36 cnf('0.401.2.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(X1)),cons(s(s(X2)),X3))) = andb(leqNat(X1,X2),sorted(cons(s(s(X2)),X3))) ),
% 1.93/2.36 inference(activate,[status(thm)],['0.401.1.0']),
% 1.93/2.36 [equation_2]).
% 1.93/2.36 cnf('0.402.0.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(z)),cons(s(s(X1)),X2))) = andb(btrue,sorted(cons(s(s(X1)),X2))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.401.2.0','0.7.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.402.0.1',plain,
% 1.93/2.36 ( sorted(cons(s(s(z)),cons(s(s(X1)),X2))) = sorted(cons(s(s(X1)),X2)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.402.0.0','0.4.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.402.1.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(z)),cons(s(s(X1)),X2))) = sorted(cons(s(s(X1)),X2)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.402.0.1']),
% 1.93/2.36 [weight('<186,401,7,[1,1,0,1]>')]).
% 1.93/2.36 cnf('0.402.2.0',plain,
% 1.93/2.36 ( sorted(cons(s(s(z)),cons(s(s(X1)),X2))) = sorted(cons(s(s(X1)),X2)) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.402.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_400]).
% 1.93/2.36 cnf('0.805.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(X3,cons(z,X4))))) = aux(s(X1),cons(X2,cons(X3,cons(z,X4))),elemNat(s(X1),cons(X2,cons(X3,X4)))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.30.2.0','0.107.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.805.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(X2,cons(X3,cons(z,X4))))) = aux(s(X1),cons(X2,cons(X3,cons(z,X4))),elemNat(s(X1),cons(X2,cons(X3,X4)))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.805.0.0']),
% 1.93/2.36 [weight('<569,107,30,[0,0,0,3]>')]).
% 1.93/2.36 cnf('0.805.2.0',plain,
% 1.93/2.36 ( aux(s(X1),cons(X2,cons(X3,cons(z,X4))),elemNat(s(X1),cons(X2,cons(X3,X4)))) = unique(cons(s(X1),cons(X2,cons(X3,cons(z,X4))))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.805.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_789]).
% 1.93/2.36 cnf('0.1757.0.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))))) = aux(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))),elemNat(X1,cons(X2,cons(X3,nil)))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.805.2.0','0.118.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.1757.1.0',plain,
% 1.93/2.36 ( unique(cons(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))))) = aux(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))),elemNat(X1,cons(X2,cons(X3,nil)))) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.1757.0.0']),
% 1.93/2.36 [weight('<659,805,118,[1,0,0,10]>')]).
% 1.93/2.36 cnf('0.1757.2.0',plain,
% 1.93/2.36 ( aux(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))),elemNat(X1,cons(X2,cons(X3,nil)))) = unique(cons(s(X1),cons(s(X2),cons(s(X3),cons(z,nil))))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.1757.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_1726]).
% 1.93/2.36 cnf('0.2187.0.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))))) = aux(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))),elemNat(s(X1),cons(X2,nil))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.1757.2.0','0.62.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3','L')]).
% 1.93/2.36 cnf('0.2187.0.1',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))))) = aux(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))),orb(eq(s(X1),X2),bfalse)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2187.0.0','0.42.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.3','L')]).
% 1.93/2.36 cnf('0.2187.1.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))))) = aux(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))),orb(eq(s(X1),X2),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.2187.0.1']),
% 1.93/2.36 [weight('<679,1757,62,[1,0,0,12]>')]).
% 1.93/2.36 cnf('0.2187.2.0',plain,
% 1.93/2.36 ( aux(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))),orb(eq(s(X1),X2),bfalse)) = unique(cons(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.2187.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_2144]).
% 1.93/2.36 cnf('0.2473.0.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))))) = aux(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.2187.2.0','0.25.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3.1','L')]).
% 1.93/2.36 cnf('0.2473.1.0',plain,
% 1.93/2.36 ( unique(cons(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))))) = aux(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))),orb(eq(X1,X2),bfalse)) ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.2473.0.0']),
% 1.93/2.36 [weight('<699,2187,25,[1,0,0,14]>')]).
% 1.93/2.36 cnf('0.2473.2.0',plain,
% 1.93/2.36 ( aux(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))),orb(eq(X1,X2),bfalse)) = unique(cons(s(s(X1)),cons(s(s(X2)),cons(s(z),cons(z,nil))))) ),
% 1.93/2.36 inference(orient,[status(thm)],['0.2473.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_2430]).
% 1.93/2.36 cnf('0.2475.0.0',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = aux(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))),orb(bfalse,bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.2473.2.0','0.13.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.3.1','L')]).
% 1.93/2.36 cnf('0.2475.0.1',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = aux(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))),bfalse) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2475.0.0','0.3.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.3','L')]).
% 1.93/2.36 cnf('0.2475.0.2',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = unique(cons(s(s(z)),cons(s(z),cons(z,nil)))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2475.0.1','0.29.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2475.0.3',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = btrue ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2475.0.2','0.262.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2475.1.0',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = btrue ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.2475.0.3']),
% 1.93/2.36 [weight('<305,2473,13,[1,0,0,15]>')]).
% 1.93/2.36 cnf('0.2475.2.0',plain,
% 1.93/2.36 ( unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = btrue ),
% 1.93/2.36 inference(orient,[status(thm)],['0.2475.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_2432]).
% 1.93/2.36 cnf('0.2479.0.0',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(sorted(rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil)))))),btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.31.2.0','0.2475.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.1',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(sorted(cons(z,cons(s(z),cons(s(s(z)),cons(s(s(s(X1))),nil))))),btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.0','0.129.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.2',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(sorted(cons(s(z),cons(s(s(z)),cons(s(s(s(X1))),nil)))),btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.1','0.46.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.3',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(sorted(cons(s(s(z)),cons(s(s(s(X1))),nil))),btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.2','0.83.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.4',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(sorted(cons(s(s(s(X1))),nil)),btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.3','0.402.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.5',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(btrue,btrue),impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.4','0.8.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.6',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(btrue,impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue))) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.5','0.6.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.7',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(eq2(btrue,btrue),eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.6','0.2.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2479.0.8',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = impl(btrue,eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue)) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.7','0.6.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.9',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(lengthNat(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.8','0.2.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2479.0.10',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(s(lengthNat(cons(s(s(z)),cons(s(z),cons(z,nil))))),s(s(s(z)))),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.9','0.21.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.11',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(lengthNat(cons(s(s(z)),cons(s(z),cons(z,nil)))),s(s(z))),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.10','0.26.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.12',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(s(lengthNat(cons(s(z),cons(z,nil)))),s(s(z))),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.11','0.21.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.13',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(lengthNat(cons(s(z),cons(z,nil))),s(z)),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.12','0.26.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.14',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(s(lengthNat(cons(z,nil))),s(z)),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.13','0.21.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.15',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(lengthNat(cons(z,nil)),z),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.14','0.26.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.16',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(leqNat(s(lengthNat(nil)),z),btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.15','0.21.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1.1','L')]).
% 1.93/2.36 cnf('0.2479.0.17',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = eq2(bfalse,btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.16','0.17.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.1','L')]).
% 1.93/2.36 cnf('0.2479.0.18',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = bfalse ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2479.0.17','0.16.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2479.1.0',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = bfalse ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.2479.0.18']),
% 1.93/2.36 [weight('<305,2475,31,[0,0,0,8]>')]).
% 1.93/2.36 cnf('0.2479.2.0',plain,
% 1.93/2.36 ( psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = bfalse ),
% 1.93/2.36 inference(orient,[status(thm)],['0.2479.1.0',theory(equality)]),
% 1.93/2.36 [u,rule_2436]).
% 1.93/2.36 cnf('0.2481.0.0',plain,
% 1.93/2.36 ( false = eq1(btrue,eq2(bfalse,bfalse)) ),
% 1.93/2.36 inference(cp,[status(thm)],['0.34.2.0','0.2479.2.0',theory(equality)]),
% 1.93/2.36 [pos('L.2.1','L')]).
% 1.93/2.36 cnf('0.2481.0.1',plain,
% 1.93/2.36 ( false = eq1(btrue,btrue) ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2481.0.0','0.6.2.0',theory(equality)]),
% 1.93/2.36 [pos('R.2','L')]).
% 1.93/2.36 cnf('0.2481.0.2',plain,
% 1.93/2.36 ( false = true ),
% 1.93/2.36 inference(reduction,[status(thm)],['0.2481.0.1','0.33.2.0',theory(equality)]),
% 1.93/2.36 [pos('R','L')]).
% 1.93/2.36 cnf('0.2481.1.0',plain,
% 1.93/2.36 ( false = true ),
% 1.93/2.36 inference(weigh,[status(thm)],['0.2481.0.2']),
% 1.93/2.36 [weight('<5,2479,34,[0,0,0,3]>')]).
% 1.93/2.36 cnf('0.2481.2.0',plain,
% 1.93/2.36 ( true = false ),
% 1.93/2.36 inference(orient,[status(thm)],['0.2481.1.0',theory(equality)]),
% 1.93/2.36 [x,rule_2438]).
% 1.93/2.36 cnf('1.0.0.0',conjecture,
% 1.93/2.36 ( true = false ),
% 1.93/2.36 file('/tmp/WALDMEISTER_16455_n025',conjecture_1)).
% 1.93/2.36 cnf('1.0.0.1',plain,
% 1.93/2.36 ( false = false ),
% 1.93/2.36 inference(reduction,[status(thm)],['1.0.0.0','0.2481.2.0',theory(equality)]),
% 1.93/2.36 [pos('L','L')]).
% 1.93/2.36 cnf('1.0.0.2',plain,
% 1.93/2.36 ( $true ),
% 1.93/2.36 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 1.93/2.36 [conjecture_1]).
% 1.93/2.36
% 1.93/2.36 Proved Goals:
% 1.93/2.36 No. 1: true ?= false, current false ?= false
% 1.93/2.36 using narrowing to prove btrue ?= eq2(psorted_rev(x1),bfalse)
% 1.93/2.36
% 1.93/2.36 1 goal was specified, which was proved.
% 1.93/2.36 % SZS output end CNFRefutation
% 1.93/2.36 #END OF PROOF
% 1.93/2.36
% 1.93/2.36 Problem WALDMEISTER_16455_n025
% 1.93/2.36 CPs.gen 47453
% 1.93/2.36 CPs.reexp 0
% 1.93/2.36 Select 5153
% 1.93/2.36 R 2438
% 1.93/2.36 E 43
% 1.93/2.36 vsize 10.3M
% 1.93/2.36 rss 7.7M
% 1.93/2.36 process.time 1.332s
% 1.93/2.36 wallclock.time 1.332s
% 1.93/2.36 status S
% 1.93/2.36
% 1.93/2.36
% 1.93/2.36 Waldmeister states: Goal proved.
% 1.93/2.36 % SZS status Unsatisfiable
%------------------------------------------------------------------------------