TSTP Solution File: BOO039-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : BOO039-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:18:15 EDT 2023
% Result : Unsatisfiable 272.89s 35.85s
% Output : CNFRefutation 272.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of clauses : 122 ( 120 unt; 0 nHn; 6 RR)
% Number of literals : 124 ( 123 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 316 ( 70 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sh_1,axiom,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2,
file('/export/starexec/sandbox/tmp/tmp.OKEdWMDR7a/E---3.1_19537.p',sh_1) ).
cnf(prove_meredith_2_basis,negated_conjecture,
( nand(nand(a,a),nand(b,a)) != a
| nand(a,nand(b,nand(a,c))) != nand(nand(nand(c,b),b),a) ),
file('/export/starexec/sandbox/tmp/tmp.OKEdWMDR7a/E---3.1_19537.p',prove_meredith_2_basis) ).
cnf(c_0_2,axiom,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,X1))) = X2,
sh_1 ).
cnf(c_0_3,plain,
nand(nand(nand(X1,nand(X2,X3)),nand(nand(X4,nand(X1,nand(X2,X3))),nand(X1,nand(X2,X3)))),nand(X4,X1)) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
nand(nand(nand(X1,X2),nand(nand(X3,nand(X1,X2)),nand(X1,X2))),nand(X3,X1)) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X3,nand(nand(X1,X3),X3)))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
nand(nand(X1,nand(nand(nand(X2,nand(nand(X2,X2),X2)),X1),X1)),X2) = nand(X2,nand(nand(X2,X2),X2)),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(nand(X2,X2),X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_5]),c_0_5]) ).
cnf(c_0_8,plain,
nand(X1,nand(nand(X1,X1),X1)) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_5]) ).
cnf(c_0_9,plain,
nand(nand(X1,X1),nand(X1,nand(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_10,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,X2)) = X2,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
nand(nand(X1,X1),nand(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_8]),c_0_8]) ).
cnf(c_0_12,plain,
nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),nand(nand(X1,X1),X1)) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_13,plain,
nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))),X1) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_11]) ).
cnf(c_0_14,plain,
nand(nand(X1,nand(X2,X1)),nand(X1,nand(X1,nand(X2,X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_12]),c_0_13]),c_0_8]),c_0_11]) ).
cnf(c_0_15,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X1,nand(X3,X1)))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_14]) ).
cnf(c_0_16,plain,
nand(nand(nand(X1,nand(X2,X1)),nand(X1,nand(X2,X1))),X1) = nand(X1,nand(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_14]),c_0_8]) ).
cnf(c_0_17,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X1,nand(X1,nand(X3,X1))))) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
nand(X1,nand(nand(X1,nand(X2,X1)),X1)) = nand(X1,nand(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_19,plain,
nand(nand(X1,nand(nand(nand(X1,nand(X2,X1)),X1),X1)),X1) = nand(X1,nand(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_20,plain,
nand(X1,nand(nand(nand(X1,nand(X2,X1)),X1),X1)) = nand(X1,nand(X1,nand(X2,X1))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
nand(nand(X1,nand(X1,nand(X2,X1))),X1) = nand(X1,nand(X2,X1)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
nand(X1,nand(X1,nand(X1,nand(X2,X1)))) = nand(X1,nand(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_18]) ).
cnf(c_0_23,plain,
nand(nand(X1,nand(X2,X1)),nand(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_14]),c_0_21]) ).
cnf(c_0_24,plain,
nand(nand(X1,nand(X1,nand(X2,X1))),nand(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_25,plain,
nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),nand(X3,nand(X1,X1)))) = nand(X2,nand(nand(X1,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_10]),c_0_9]) ).
cnf(c_0_26,plain,
nand(nand(X1,nand(X2,X1)),X1) = nand(X1,nand(X1,nand(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_24]),c_0_21]),c_0_18]) ).
cnf(c_0_27,plain,
nand(X1,nand(nand(X1,nand(X2,X1)),nand(X3,nand(X1,X1)))) = nand(X1,nand(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_14]),c_0_21]),c_0_14]),c_0_21]) ).
cnf(c_0_28,plain,
nand(X1,nand(nand(X2,nand(nand(X1,X2),X2)),X1)) = nand(X2,nand(nand(X1,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_10]),c_0_9]) ).
cnf(c_0_29,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),X2) = nand(X2,nand(X1,nand(nand(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_30,plain,
nand(X1,nand(nand(X2,X1),X1)) = nand(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_2]) ).
cnf(c_0_31,plain,
nand(X1,nand(X1,nand(X2,nand(nand(X1,X2),X2)))) = nand(X2,nand(nand(X1,X2),X2)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
nand(nand(X1,X2),X2) = nand(X2,nand(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30]) ).
cnf(c_0_33,plain,
nand(X1,nand(X1,nand(X2,X1))) = nand(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30]),c_0_30]) ).
cnf(c_0_34,plain,
nand(X1,X2) = nand(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_32]),c_0_33]) ).
cnf(c_0_35,plain,
nand(nand(X1,X2),nand(nand(X2,X3),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_30]),c_0_34]) ).
cnf(c_0_36,plain,
nand(nand(X1,X2),nand(X2,nand(X3,X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_30]),c_0_30]) ).
cnf(c_0_37,plain,
nand(X1,nand(X2,nand(X1,nand(X3,X2)))) = nand(X1,nand(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34]),c_0_34]) ).
cnf(c_0_38,plain,
nand(nand(X1,X2),nand(X2,nand(X1,X3))) = X2,
inference(spm,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_39,plain,
nand(X1,nand(X2,nand(X2,X1))) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,plain,
nand(X1,nand(X2,X2)) = nand(X1,nand(X1,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_41,plain,
nand(nand(X1,X1),X2) = nand(X2,nand(X2,X1)),
inference(spm,[status(thm)],[c_0_34,c_0_40]) ).
cnf(c_0_42,plain,
nand(nand(X1,X1),X2) = nand(X2,nand(X1,X2)),
inference(spm,[status(thm)],[c_0_41,c_0_34]) ).
cnf(c_0_43,plain,
nand(nand(X1,X1),nand(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_30]) ).
cnf(c_0_44,plain,
nand(nand(X1,X1),nand(X2,nand(nand(X1,X2),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_28]),c_0_8]) ).
cnf(c_0_45,plain,
nand(nand(X1,X2),nand(X2,X2)) = X2,
inference(rw,[status(thm)],[c_0_10,c_0_30]) ).
cnf(c_0_46,plain,
nand(nand(X1,nand(nand(nand(X2,X2),X1),X1)),X2) = nand(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_8]),c_0_8]) ).
cnf(c_0_47,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(nand(X1,X1),X2))) = X3,
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_48,plain,
nand(X1,nand(nand(X1,X2),nand(X3,nand(X1,X1)))) = nand(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
cnf(c_0_49,plain,
nand(nand(X1,X1),nand(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_50,plain,
nand(X1,nand(nand(nand(X1,X1),X2),nand(X3,X1))) = nand(X3,X1),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_51,plain,
nand(X1,nand(nand(X2,X3),nand(X3,X1))) = nand(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_36]),c_0_34]) ).
cnf(c_0_52,plain,
nand(nand(X1,X2),nand(nand(X3,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_53,plain,
nand(X1,nand(nand(nand(X1,X1),X1),X1)) = nand(X1,nand(X1,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_46]) ).
cnf(c_0_54,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(nand(X2,X2),X4))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_55,plain,
nand(nand(X1,X2),nand(nand(X3,X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_49]),c_0_34]) ).
cnf(c_0_56,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(X4,nand(X2,X3)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_34]) ).
cnf(c_0_57,plain,
nand(nand(X1,nand(X1,X1)),X1) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_53]),c_0_44]) ).
cnf(c_0_58,plain,
nand(X1,nand(nand(X2,X2),nand(nand(X3,X2),X1))) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_37,c_0_54]) ).
cnf(c_0_59,plain,
nand(X1,nand(X2,nand(nand(X2,X3),X1))) = nand(nand(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_35]),c_0_34]),c_0_34]) ).
cnf(c_0_60,plain,
nand(nand(X1,nand(X2,nand(X3,X1))),nand(nand(X4,X3),X1)) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_56]) ).
cnf(c_0_61,plain,
nand(nand(X1,nand(nand(X2,X1),X1)),nand(X2,nand(X1,nand(nand(X2,X1),X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_10]),c_0_9]),c_0_9]) ).
cnf(c_0_62,plain,
nand(nand(nand(X1,X1),X1),nand(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_2]),c_0_8]),c_0_8]) ).
cnf(c_0_63,plain,
nand(X1,nand(nand(X2,nand(X1,X1)),nand(X3,X1))) = nand(X3,X1),
inference(spm,[status(thm)],[c_0_55,c_0_45]) ).
cnf(c_0_64,plain,
nand(X1,nand(X2,nand(nand(X3,nand(X3,X2)),X1))) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_11]) ).
cnf(c_0_65,plain,
nand(X1,nand(X2,nand(X1,nand(X2,X3)))) = nand(X1,nand(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_34]),c_0_34]) ).
cnf(c_0_66,plain,
nand(X1,nand(X2,nand(X1,nand(X3,nand(X2,X1))))) = nand(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_34]),c_0_34]) ).
cnf(c_0_67,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(X1,nand(X2,X2)))) = X3,
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_68,plain,
nand(nand(X1,X1),X1) = nand(X1,nand(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_9]),c_0_9]),c_0_53]) ).
cnf(c_0_69,plain,
nand(X1,nand(X2,nand(X2,nand(X3,nand(X1,X1))))) = nand(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_34]) ).
cnf(c_0_70,plain,
nand(nand(X1,nand(X2,X3)),nand(X1,nand(X4,nand(X2,X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_34]) ).
cnf(c_0_71,plain,
nand(X1,nand(X2,nand(X3,nand(X1,X2)))) = nand(X1,nand(X2,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
nand(X1,X1) = nand(nand(X2,nand(X2,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_67]),c_0_68]),c_0_55]),c_0_68]) ).
cnf(c_0_73,plain,
nand(X1,nand(X1,nand(X1,X2))) = nand(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_74,plain,
nand(nand(X1,X2),nand(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_75,plain,
nand(nand(X1,X2),nand(X1,nand(X3,X2))) = X1,
inference(spm,[status(thm)],[c_0_36,c_0_34]) ).
cnf(c_0_76,plain,
nand(nand(X1,X1),nand(X2,nand(X2,nand(X3,X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_39]) ).
cnf(c_0_77,plain,
nand(X1,nand(X2,nand(X3,nand(X2,X1)))) = nand(X1,nand(X2,X2)),
inference(spm,[status(thm)],[c_0_71,c_0_34]) ).
cnf(c_0_78,plain,
nand(X1,nand(X2,nand(X2,X2))) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_72]) ).
cnf(c_0_79,plain,
nand(nand(nand(X1,nand(X1,X2)),X3),nand(X3,nand(X2,X4))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_11]) ).
cnf(c_0_80,plain,
nand(X1,nand(X2,X2)) = nand(X1,nand(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_81,plain,
nand(X1,nand(X1,nand(X2,X2))) = nand(X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_40]) ).
cnf(c_0_82,plain,
nand(X1,nand(X2,X2)) = nand(X1,nand(nand(X3,nand(X3,X1)),X2)),
inference(spm,[status(thm)],[c_0_37,c_0_64]) ).
cnf(c_0_83,plain,
nand(X1,nand(nand(X2,X1),nand(nand(X1,X1),X3))) = nand(X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_84,plain,
nand(X1,nand(nand(X2,nand(X1,X1)),nand(X1,X3))) = nand(X1,X3),
inference(spm,[status(thm)],[c_0_55,c_0_74]) ).
cnf(c_0_85,plain,
nand(nand(X1,X2),nand(X1,nand(X3,nand(X3,nand(X4,X2))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_34]) ).
cnf(c_0_86,plain,
nand(X1,nand(X2,nand(nand(X2,X1),X3))) = nand(X1,nand(X2,X2)),
inference(spm,[status(thm)],[c_0_77,c_0_34]) ).
cnf(c_0_87,plain,
nand(X1,nand(X2,nand(X3,nand(X3,X3)))) = nand(X1,nand(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_78]) ).
cnf(c_0_88,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(nand(X2,X1),X4))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_89,plain,
nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X2,X2),X3))) = X1,
inference(spm,[status(thm)],[c_0_75,c_0_42]) ).
cnf(c_0_90,plain,
nand(X1,nand(nand(X2,X1),nand(X3,nand(X1,X1)))) = nand(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_30]),c_0_30]) ).
cnf(c_0_91,plain,
nand(X1,nand(nand(X2,nand(X2,X1)),X3)) = nand(X1,nand(X1,X3)),
inference(spm,[status(thm)],[c_0_40,c_0_82]) ).
cnf(c_0_92,plain,
nand(X1,nand(nand(X2,X2),nand(X1,nand(X3,X2)))) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_58,c_0_34]) ).
cnf(c_0_93,plain,
nand(nand(nand(X1,X2),X3),nand(X3,nand(X4,nand(X1,X1)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_83]),c_0_49]),c_0_84]) ).
cnf(c_0_94,plain,
nand(nand(X1,nand(X2,nand(X2,X2))),X3) = nand(X3,nand(X3,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_78]) ).
cnf(c_0_95,plain,
nand(nand(X1,nand(X2,X3)),nand(X1,nand(nand(X3,X2),X4))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_81]),c_0_34]) ).
cnf(c_0_96,plain,
nand(X1,nand(X1,nand(nand(X2,X3),nand(X3,X2)))) = nand(X1,nand(X3,X2)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,plain,
nand(nand(X1,nand(X2,X3)),nand(X1,nand(X4,nand(X3,X3)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_11]),c_0_63]) ).
cnf(c_0_98,plain,
nand(X1,nand(nand(nand(X1,X1),X2),X3)) = nand(X1,nand(X1,X3)),
inference(spm,[status(thm)],[c_0_91,c_0_41]) ).
cnf(c_0_99,plain,
nand(X1,nand(X1,nand(X2,nand(X2,nand(X3,X1))))) = nand(X2,nand(X2,nand(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_76]),c_0_34]) ).
cnf(c_0_100,plain,
nand(nand(X1,nand(X2,X3)),nand(X1,nand(X4,nand(X3,X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_34]) ).
cnf(c_0_101,plain,
nand(X1,nand(nand(X1,nand(X2,X3)),nand(X3,X3))) = nand(X1,X1),
inference(spm,[status(thm)],[c_0_92,c_0_34]) ).
cnf(c_0_102,plain,
nand(nand(X1,nand(X2,nand(X3,X3))),nand(nand(X3,X4),X1)) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_93]) ).
cnf(c_0_103,plain,
nand(X1,nand(nand(X2,X3),nand(X1,X2))) = nand(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_34]) ).
cnf(c_0_104,plain,
nand(X1,nand(X2,X3)) = nand(nand(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_105,plain,
nand(nand(X1,nand(X2,nand(X3,X3))),nand(X1,nand(X4,X3))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( nand(nand(a,a),nand(b,a)) != a
| nand(a,nand(b,nand(a,c))) != nand(nand(nand(c,b),b),a) ),
prove_meredith_2_basis ).
cnf(c_0_107,plain,
nand(X1,nand(nand(X2,nand(X2,nand(X3,nand(X1,X1)))),X4)) = nand(X1,nand(X1,X4)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_108,plain,
nand(nand(X1,nand(X2,nand(X3,X1))),nand(X1,nand(X4,X3))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_100]) ).
cnf(c_0_109,plain,
nand(nand(X1,X1),nand(X2,X2)) = nand(nand(X2,nand(X3,X1)),nand(X1,X1)),
inference(spm,[status(thm)],[c_0_59,c_0_101]) ).
cnf(c_0_110,plain,
nand(nand(X1,X1),nand(nand(X1,X1),nand(nand(X1,X2),X3))) = nand(nand(X1,X1),X3),
inference(spm,[status(thm)],[c_0_91,c_0_102]) ).
cnf(c_0_111,plain,
nand(nand(X1,X2),nand(nand(X3,X4),nand(X3,nand(X2,X1)))) = nand(X3,nand(X2,X1)),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_112,plain,
nand(nand(X1,X1),nand(nand(X1,X1),nand(X2,nand(X3,X1)))) = nand(nand(X1,X1),X2),
inference(spm,[status(thm)],[c_0_91,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
nand(nand(nand(c,b),b),a) != nand(a,nand(b,nand(a,c))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_49])]) ).
cnf(c_0_114,plain,
nand(X1,nand(nand(X2,nand(X2,nand(X3,nand(X1,X2)))),X4)) = nand(X1,nand(X1,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_34]) ).
cnf(c_0_115,plain,
nand(nand(X1,X1),nand(X2,X2)) = nand(nand(X1,nand(X3,X2)),nand(X2,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_109]) ).
cnf(c_0_116,plain,
nand(nand(X1,X1),nand(nand(X2,X3),nand(X2,nand(X4,X1)))) = nand(nand(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_117,negated_conjecture,
nand(nand(b,nand(c,b)),a) != nand(a,nand(b,nand(a,c))),
inference(rw,[status(thm)],[c_0_113,c_0_32]) ).
cnf(c_0_118,plain,
nand(X1,nand(nand(X2,X2),X3)) = nand(X1,nand(X3,nand(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_81]) ).
cnf(c_0_119,negated_conjecture,
nand(a,nand(b,nand(b,c))) != nand(a,nand(b,nand(a,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_34]),c_0_34]) ).
cnf(c_0_120,plain,
nand(X1,nand(X2,nand(X2,X3))) = nand(X1,nand(X2,nand(X1,X3))),
inference(spm,[status(thm)],[c_0_118,c_0_41]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO039-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 20:47:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.OKEdWMDR7a/E---3.1_19537.p
% 272.89/35.85 # Version: 3.1pre001
% 272.89/35.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.89/35.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.89/35.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.89/35.85 # Starting new_bool_3 with 300s (1) cores
% 272.89/35.85 # Starting new_bool_1 with 300s (1) cores
% 272.89/35.85 # Starting sh5l with 300s (1) cores
% 272.89/35.85 # new_bool_3 with pid 19675 completed with status 0
% 272.89/35.85 # Result found by new_bool_3
% 272.89/35.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.89/35.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.89/35.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.89/35.85 # Starting new_bool_3 with 300s (1) cores
% 272.89/35.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.89/35.85 # Search class: FUHPF-FFSF22-MFFFFFNN
% 272.89/35.85 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.89/35.85 # Starting G-E--_209_C18_F1_AE_CS_SP_S0Y with 71s (1) cores
% 272.89/35.85 # G-E--_209_C18_F1_AE_CS_SP_S0Y with pid 19681 completed with status 0
% 272.89/35.85 # Result found by G-E--_209_C18_F1_AE_CS_SP_S0Y
% 272.89/35.85 # Preprocessing class: FSSSSMSSSSSNFFN.
% 272.89/35.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.89/35.85 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 272.89/35.85 # Starting new_bool_3 with 300s (1) cores
% 272.89/35.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.89/35.85 # Search class: FUHPF-FFSF22-MFFFFFNN
% 272.89/35.85 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.89/35.85 # Starting G-E--_209_C18_F1_AE_CS_SP_S0Y with 71s (1) cores
% 272.89/35.85 # Preprocessing time : 0.001 s
% 272.89/35.85
% 272.89/35.85 # Proof found!
% 272.89/35.85 # SZS status Unsatisfiable
% 272.89/35.85 # SZS output start CNFRefutation
% See solution above
% 272.89/35.85 # Parsed axioms : 2
% 272.89/35.85 # Removed by relevancy pruning/SinE : 0
% 272.89/35.85 # Initial clauses : 2
% 272.89/35.85 # Removed in clause preprocessing : 0
% 272.89/35.85 # Initial clauses in saturation : 2
% 272.89/35.85 # Processed clauses : 271038
% 272.89/35.85 # ...of these trivial : 78830
% 272.89/35.85 # ...subsumed : 190893
% 272.89/35.85 # ...remaining for further processing : 1315
% 272.89/35.85 # Other redundant clauses eliminated : 0
% 272.89/35.85 # Clauses deleted for lack of memory : 0
% 272.89/35.85 # Backward-subsumed : 0
% 272.89/35.85 # Backward-rewritten : 404
% 272.89/35.85 # Generated clauses : 4356691
% 272.89/35.85 # ...of the previous two non-redundant : 2600151
% 272.89/35.85 # ...aggressively subsumed : 0
% 272.89/35.85 # Contextual simplify-reflections : 0
% 272.89/35.85 # Paramodulations : 4356691
% 272.89/35.85 # Factorizations : 0
% 272.89/35.85 # NegExts : 0
% 272.89/35.85 # Equation resolutions : 0
% 272.89/35.85 # Total rewrite steps : 4585619
% 272.89/35.85 # Propositional unsat checks : 0
% 272.89/35.85 # Propositional check models : 0
% 272.89/35.85 # Propositional check unsatisfiable : 0
% 272.89/35.85 # Propositional clauses : 0
% 272.89/35.85 # Propositional clauses after purity: 0
% 272.89/35.85 # Propositional unsat core size : 0
% 272.89/35.85 # Propositional preprocessing time : 0.000
% 272.89/35.85 # Propositional encoding time : 0.000
% 272.89/35.85 # Propositional solver time : 0.000
% 272.89/35.85 # Success case prop preproc time : 0.000
% 272.89/35.85 # Success case prop encoding time : 0.000
% 272.89/35.85 # Success case prop solver time : 0.000
% 272.89/35.85 # Current number of processed clauses : 911
% 272.89/35.85 # Positive orientable unit clauses : 833
% 272.89/35.85 # Positive unorientable unit clauses: 78
% 272.89/35.85 # Negative unit clauses : 0
% 272.89/35.85 # Non-unit-clauses : 0
% 272.89/35.85 # Current number of unprocessed clauses: 2310976
% 272.89/35.85 # ...number of literals in the above : 2310976
% 272.89/35.85 # Current number of archived formulas : 0
% 272.89/35.85 # Current number of archived clauses : 404
% 272.89/35.85 # Clause-clause subsumption calls (NU) : 0
% 272.89/35.85 # Rec. Clause-clause subsumption calls : 0
% 272.89/35.85 # Non-unit clause-clause subsumptions : 0
% 272.89/35.85 # Unit Clause-clause subsumption calls : 33827
% 272.89/35.85 # Rewrite failures with RHS unbound : 12622
% 272.89/35.85 # BW rewrite match attempts : 255952
% 272.89/35.85 # BW rewrite match successes : 5585
% 272.89/35.85 # Condensation attempts : 0
% 272.89/35.85 # Condensation successes : 0
% 272.89/35.85 # Termbank termtop insertions : 57552304
% 272.89/35.85
% 272.89/35.85 # -------------------------------------------------
% 272.89/35.85 # User time : 33.247 s
% 272.89/35.85 # System time : 1.016 s
% 272.89/35.85 # Total time : 34.262 s
% 272.89/35.85 # Maximum resident set size: 1620 pages
% 272.89/35.85
% 272.89/35.85 # -------------------------------------------------
% 272.89/35.85 # User time : 33.247 s
% 272.89/35.85 # System time : 1.020 s
% 272.89/35.85 # Total time : 34.267 s
% 272.89/35.85 # Maximum resident set size: 1664 pages
% 272.89/35.85 % E---3.1 exiting
% 272.89/35.85 % E---3.1 exiting
%------------------------------------------------------------------------------