TSTP Solution File: LAT393-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT393-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:09:06 EDT 2023
% Result : Unsatisfiable 917.81s 117.74s
% Output : CNFRefutation 917.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 2
% Syntax : Number of clauses : 136 ( 136 unt; 0 nHn; 4 RR)
% Number of literals : 136 ( 135 equ; 3 neg)
% Maximal clause size : 1 ( 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 : 384 ( 81 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.s58OMyJHce/E---3.1_27651.p',sos) ).
cnf(goals,negated_conjecture,
f(x0,f(f(x1,x2),f(x1,x2))) != f(x1,f(f(x0,x2),f(x0,x2))),
file('/export/starexec/sandbox2/tmp/tmp.s58OMyJHce/E---3.1_27651.p',goals) ).
cnf(c_0_2,axiom,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
sos ).
cnf(c_0_3,plain,
f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
f(f(X1,X1),f(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_7,plain,
f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_6]) ).
cnf(c_0_8,plain,
f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
f(f(X1,X2),f(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
f(X1,f(f(X1,X1),X2)) = f(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_9]),c_0_9]) ).
cnf(c_0_11,plain,
f(f(X1,X1),f(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_10]),c_0_10]) ).
cnf(c_0_12,plain,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_2]) ).
cnf(c_0_13,plain,
f(f(X1,X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_14,plain,
f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,plain,
f(f(X1,X2),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_16,plain,
f(f(X1,X2),f(X2,f(f(X1,X1),X1))) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_17,plain,
f(f(X1,X1),f(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) = f(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_9]) ).
cnf(c_0_19,plain,
f(X1,f(X2,f(X1,X1))) = f(X1,X1),
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_20,plain,
f(f(X1,X2),f(X1,f(f(X3,X3),X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_18]),c_0_19]),c_0_15]) ).
cnf(c_0_21,plain,
f(X1,X1) = f(X1,f(f(X2,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_20]) ).
cnf(c_0_22,plain,
f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_10]),c_0_10]) ).
cnf(c_0_23,plain,
f(f(X1,X1),f(f(X2,X2),X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_21]),c_0_10]),c_0_10]) ).
cnf(c_0_24,plain,
f(f(f(X1,X1),X1),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
f(X1,f(f(X2,X1),f(X1,f(X1,X1)))) = f(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9]) ).
cnf(c_0_26,plain,
f(f(f(X1,X1),X1),X2) = f(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_6]) ).
cnf(c_0_27,plain,
f(f(X1,f(X1,X1)),f(X2,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_7]),c_0_10]),c_0_10]) ).
cnf(c_0_28,plain,
f(f(X1,X1),f(X2,f(X2,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_10]),c_0_10]) ).
cnf(c_0_29,plain,
f(f(X1,X1),X1) = f(X1,f(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_8]) ).
cnf(c_0_30,plain,
f(f(X1,f(X1,X1)),X2) = f(X2,X2),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_31,plain,
f(f(f(X1,X1),X2),X1) = f(X1,X1),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_32,plain,
f(X1,f(X2,f(X2,X2))) = f(X1,X1),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_33,plain,
f(f(X1,f(X1,X1)),X2) = f(X2,f(X3,f(X3,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_29]) ).
cnf(c_0_34,plain,
f(f(f(X1,f(X1,X1)),f(X2,X3)),X2) = f(X2,X3),
inference(spm,[status(thm)],[c_0_14,c_0_30]) ).
cnf(c_0_35,plain,
f(f(x0,f(x0,x0)),f(f(X1,X2),f(X2,X3))) = f(X2,f(f(X1,X2),f(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_32]),c_0_33]) ).
cnf(c_0_36,plain,
f(f(f(X1,X2),f(X1,X2)),X2) = f(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_37,plain,
f(f(X1,f(f(X2,X1),f(X1,X3))),f(X2,X1)) = f(f(X2,X1),f(X1,X3)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
f(f(f(X1,f(X1,X1)),X2),f(X2,X3)) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_30]) ).
cnf(c_0_39,plain,
f(X1,f(f(X2,f(X2,X2)),f(X3,X1))) = f(X3,X1),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_40,plain,
f(f(f(X1,f(X1,X1)),f(X2,X3)),X3) = f(X2,X3),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_41,plain,
f(f(f(X1,X2),f(X1,f(f(X1,X2),X3))),X1) = f(X1,f(f(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
f(f(X1,X2),f(X1,f(f(X3,X1),f(X1,X2)))) = f(f(X3,X1),f(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_43,plain,
f(f(X1,f(f(X2,X1),f(X1,X3))),f(X1,X3)) = f(f(X2,X1),f(X1,X3)),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_44,plain,
f(f(X1,X2),f(f(X3,f(X3,X3)),X1)) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_30]) ).
cnf(c_0_45,plain,
f(f(f(X1,X2),f(X2,X3)),X2) = f(X2,f(f(X1,X2),f(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_42]) ).
cnf(c_0_46,plain,
f(f(f(X1,X2),f(f(X3,f(X1,X2)),X1)),X1) = f(f(X3,f(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
f(f(f(X1,f(X1,X1)),X2),f(X3,X2)) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_48,plain,
f(f(f(X1,X2),f(X3,X2)),X2) = f(X2,f(f(X1,X2),f(X3,X2))),
inference(spm,[status(thm)],[c_0_45,c_0_22]) ).
cnf(c_0_49,plain,
f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) = f(X1,f(f(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_50,plain,
f(f(f(X1,X2),f(X2,X1)),X1) = f(X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
f(f(f(X1,X2),f(X3,X1)),X1) = f(X1,f(f(X1,X2),f(X3,X1))),
inference(spm,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_52,plain,
f(X1,f(f(X1,X2),f(X2,X1))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_7]) ).
cnf(c_0_53,plain,
f(X1,X2) = f(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_54,plain,
f(X1,f(f(X2,f(X2,X2)),f(X1,X3))) = f(X1,X3),
inference(spm,[status(thm)],[c_0_8,c_0_30]) ).
cnf(c_0_55,plain,
f(f(f(f(X1,X2),f(X1,X3)),X4),f(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_56,plain,
f(X1,f(f(X2,X1),f(X1,X2))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
f(f(X1,X2),f(X2,f(f(X1,X2),f(X2,X3)))) = f(f(X1,X2),f(X2,X3)),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_58,plain,
f(f(f(f(X1,f(X1,X1)),f(X2,X3)),X4),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_55,c_0_30]) ).
cnf(c_0_59,plain,
f(f(x0,f(x0,x0)),f(f(X1,X2),f(X2,X1))) = f(X2,X1),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_60,plain,
f(X1,f(f(X2,X1),f(X1,f(f(X2,X1),X3)))) = f(X1,f(f(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_57,c_0_47]) ).
cnf(c_0_61,plain,
f(f(f(X1,X2),X3),f(f(X2,X1),f(X2,X1))) = f(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
f(f(X1,f(f(X2,X3),f(X2,X4))),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_55,c_0_22]) ).
cnf(c_0_63,plain,
f(X1,f(f(f(X2,X3),X1),f(X1,f(X3,X2)))) = f(X1,f(X3,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
f(X1,f(f(X1,X2),f(f(X3,X3),X3))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_65,plain,
f(f(X1,X2),f(f(X3,f(X3,X3)),X2)) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_66,plain,
f(f(X1,f(X2,f(X2,X2))),X1) = f(X1,f(X1,f(X2,f(X2,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_29]),c_0_29]) ).
cnf(c_0_67,plain,
f(f(X1,f(f(X2,f(X2,X2)),f(X3,X4))),f(X3,X3)) = X3,
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_68,plain,
f(f(f(f(X1,X2),f(X3,X2)),X4),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_69,plain,
f(f(X1,X2),f(X2,f(f(X3,X2),f(X1,X2)))) = f(f(X3,X2),f(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
cnf(c_0_70,plain,
f(X1,f(f(f(X2,X3),X1),f(f(X3,X2),X1))) = f(f(X3,X2),X1),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_71,plain,
f(X1,f(X1,f(X2,f(X2,X2)))) = f(X2,f(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_29]),c_0_29]),c_0_20]),c_0_66]) ).
cnf(c_0_72,plain,
f(f(f(X1,f(X1,X1)),X2),X2) = f(X2,f(f(X1,f(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_73,plain,
f(X1,f(f(X1,X2),f(X1,f(f(X1,X2),X3)))) = f(X1,f(f(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_57,c_0_38]) ).
cnf(c_0_74,plain,
f(f(X1,f(X2,X3)),f(f(X3,X2),f(X3,X2))) = f(X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
cnf(c_0_75,plain,
f(f(f(f(X1,X2),f(X3,f(X3,X3))),X4),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_68,c_0_32]) ).
cnf(c_0_76,plain,
f(f(f(X1,X2),X3),f(f(X2,X1),X3)) = f(f(x0,f(x0,x0)),f(f(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_32]),c_0_53]) ).
cnf(c_0_77,plain,
f(X1,f(f(X2,f(X2,X2)),X1)) = f(X2,f(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_14]),c_0_29]),c_0_47]),c_0_72]) ).
cnf(c_0_78,plain,
f(X1,f(f(X1,f(X2,X3)),f(X1,f(X3,X2)))) = f(X1,f(X3,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
f(X1,f(f(X1,f(X2,X3)),f(f(X3,X2),X1))) = f(X1,f(X2,X3)),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_80,plain,
f(f(X1,X2),f(f(x0,f(x0,x0)),f(f(X1,X1),X3))) = f(f(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_10]),c_0_28]),c_0_76]) ).
cnf(c_0_81,plain,
f(f(X1,X2),f(X3,f(f(X2,X1),f(X1,X2)))) = f(f(X2,X1),f(X1,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_59]) ).
cnf(c_0_82,plain,
f(f(X1,X2),f(f(X2,X1),f(X1,X2))) = f(x0,f(x0,x0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_59]),c_0_53]) ).
cnf(c_0_83,plain,
f(f(X1,X2),f(X2,f(f(X1,X2),f(X3,X2)))) = f(f(X1,X2),f(X3,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_22]) ).
cnf(c_0_84,plain,
f(X1,f(X2,X3)) = f(f(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_79]) ).
cnf(c_0_85,plain,
f(f(f(X1,X1),X2),f(f(X1,X3),f(X1,X3))) = f(X1,X3),
inference(spm,[status(thm)],[c_0_9,c_0_80]) ).
cnf(c_0_86,plain,
f(f(X1,X2),f(x0,f(x0,x0))) = f(f(X2,X1),f(X1,X2)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
f(f(X1,X2),f(f(f(X2,X1),f(X1,X2)),X3)) = f(f(X2,X1),f(X1,X2)),
inference(spm,[status(thm)],[c_0_38,c_0_59]) ).
cnf(c_0_88,plain,
f(f(X1,X2),f(X2,f(f(X3,X2),f(X2,X1)))) = f(f(X3,X2),f(X2,X1)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
f(X1,f(f(f(X2,X2),X1),f(X1,f(X2,X3)))) = f(X1,f(X2,X3)),
inference(spm,[status(thm)],[c_0_60,c_0_85]) ).
cnf(c_0_90,plain,
f(f(X1,X2),f(X2,X1)) = f(f(x0,f(x0,x0)),f(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_86]),c_0_65]),c_0_53]),c_0_87]) ).
cnf(c_0_91,plain,
f(f(f(X1,X1),X2),f(X2,f(X1,X3))) = f(f(x0,f(x0,x0)),f(X2,f(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_92,plain,
f(f(X1,X2),f(f(f(X2,X3),f(X2,X3)),X1)) = f(f(x0,f(x0,x0)),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_44]),c_0_53]) ).
cnf(c_0_93,plain,
f(f(X1,X2),f(X1,f(f(X2,X3),f(X2,X3)))) = f(f(X1,X2),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_92]),c_0_38]) ).
cnf(c_0_94,plain,
f(f(X1,X2),f(X1,f(f(X3,X2),f(X2,X4)))) = f(f(X1,X2),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_35]),c_0_65]) ).
cnf(c_0_95,plain,
f(X1,f(f(X1,X2),f(X2,X3))) = f(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_94]),c_0_8]) ).
cnf(c_0_96,plain,
f(X1,f(f(X1,X2),f(X1,f(X3,f(X2,X1))))) = f(X1,f(X3,f(X2,X1))),
inference(spm,[status(thm)],[c_0_73,c_0_84]) ).
cnf(c_0_97,plain,
f(X1,f(f(X2,X3),f(X2,X1))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_95,c_0_84]) ).
cnf(c_0_98,plain,
f(X1,f(f(X2,X3),f(X3,X1))) = f(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_8]) ).
cnf(c_0_99,plain,
f(X1,f(f(X1,X2),f(X3,X2))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_95,c_0_22]) ).
cnf(c_0_100,plain,
f(f(f(X1,X2),f(X2,X3)),f(f(X4,X2),f(X4,X2))) = f(f(f(X1,X2),f(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_97,c_0_94]) ).
cnf(c_0_101,plain,
f(f(f(X1,X2),f(X3,X2)),f(f(X4,X1),f(X1,X2))) = f(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_53]),c_0_99]) ).
cnf(c_0_102,plain,
f(X1,f(X2,X2)) = f(f(X2,f(X3,f(X3,X3))),X1),
inference(spm,[status(thm)],[c_0_84,c_0_32]) ).
cnf(c_0_103,plain,
f(f(X1,X1),f(f(X2,f(X3,X1)),f(X2,f(X3,X1)))) = f(f(X1,X1),X2),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_104,plain,
f(f(X1,f(X2,X2)),X2) = f(X2,X2),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
cnf(c_0_105,plain,
f(f(f(X1,f(X2,X3)),f(X4,f(X4,X4))),f(X3,X3)) = f(f(X3,X3),X1),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,plain,
f(f(X1,f(X2,f(X2,X2))),f(X3,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_29]) ).
cnf(c_0_107,plain,
f(f(X1,X2),f(X2,f(X3,f(X3,X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_20]),c_0_29]) ).
cnf(c_0_108,plain,
f(X1,f(f(x0,f(x0,x0)),f(X2,f(f(X1,X1),X3)))) = f(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_105]),c_0_11]),c_0_11]),c_0_33]),c_0_53]) ).
cnf(c_0_109,plain,
f(X1,f(X1,X1)) = f(X2,f(X2,X2)),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,plain,
f(X1,f(f(X2,f(X2,X2)),f(X3,f(f(X1,X1),X4)))) = f(X1,X3),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_111,plain,
f(X1,f(f(X2,f(X2,X2)),f(f(f(X1,X1),X3),X4))) = f(X1,X4),
inference(spm,[status(thm)],[c_0_110,c_0_53]) ).
cnf(c_0_112,plain,
f(f(f(X1,f(X2,X3)),X4),f(f(X1,f(X3,X2)),X4)) = f(f(x0,f(x0,x0)),f(f(X1,f(X3,X2)),X4)),
inference(spm,[status(thm)],[c_0_76,c_0_84]) ).
cnf(c_0_113,plain,
f(f(X1,X1),f(f(f(X2,X1),f(X1,X3)),X4)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_2]) ).
cnf(c_0_114,plain,
f(X1,f(f(f(f(X1,X1),X2),X3),f(X3,X4))) = f(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_95]),c_0_111]) ).
cnf(c_0_115,plain,
f(f(f(X1,f(X2,X3)),X4),f(X4,f(f(X3,X2),X1))) = f(f(x0,f(x0,x0)),f(X4,f(f(X3,X2),X1))),
inference(spm,[status(thm)],[c_0_112,c_0_84]) ).
cnf(c_0_116,plain,
f(f(X1,X2),f(f(f(X3,X2),f(X3,X2)),X1)) = f(f(x0,f(x0,x0)),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_65]),c_0_53]) ).
cnf(c_0_117,plain,
f(f(X1,X1),f(f(f(X2,X1),f(X3,X1)),X4)) = X1,
inference(spm,[status(thm)],[c_0_113,c_0_22]) ).
cnf(c_0_118,plain,
f(f(X1,X1),f(f(f(X1,X2),X3),f(X3,X4))) = f(f(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_27]),c_0_9]),c_0_9]) ).
cnf(c_0_119,plain,
f(f(X1,X2),f(f(f(X2,X3),f(X3,X2)),X1)) = f(f(x0,f(x0,x0)),f(X1,X2)),
inference(spm,[status(thm)],[c_0_116,c_0_84]) ).
cnf(c_0_120,plain,
f(f(x0,f(x0,x0)),f(f(X1,X2),f(X3,X2))) = f(X2,f(f(X1,X2),f(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_117]),c_0_32]),c_0_53]),c_0_53]) ).
cnf(c_0_121,plain,
f(f(f(f(X1,X2),X3),f(X3,X4)),f(X1,X1)) = f(f(X1,X1),X3),
inference(spm,[status(thm)],[c_0_53,c_0_118]) ).
cnf(c_0_122,plain,
f(f(X1,X2),f(f(f(X3,X2),f(X4,X2)),X1)) = f(f(x0,f(x0,x0)),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_38]) ).
cnf(c_0_123,plain,
f(X1,f(f(X2,f(f(X1,X2),X3)),f(X2,X4))) = f(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_121]),c_0_48]),c_0_22]),c_0_53]),c_0_53]) ).
cnf(c_0_124,plain,
f(f(X1,X2),f(X1,f(f(X3,X2),f(X4,X2)))) = f(f(X1,X2),f(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_122]),c_0_38]) ).
cnf(c_0_125,plain,
f(X1,f(f(X2,f(f(X2,X1),X3)),f(X2,X4))) = f(X2,X1),
inference(spm,[status(thm)],[c_0_123,c_0_53]) ).
cnf(c_0_126,plain,
f(f(f(X1,X2),f(X3,X2)),f(f(X4,X2),f(X4,X2))) = f(f(f(X1,X2),f(X3,X2)),X4),
inference(spm,[status(thm)],[c_0_97,c_0_124]) ).
cnf(c_0_127,plain,
f(X1,f(f(X1,f(f(X2,X2),X2)),X3)) = f(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_20]),c_0_20]) ).
cnf(c_0_128,plain,
f(X1,f(X2,f(f(X2,X3),f(f(f(X2,X3),X1),X4)))) = f(f(X2,X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_44]),c_0_53]) ).
cnf(c_0_129,plain,
f(f(f(X1,X2),f(X1,X2)),X3) = f(f(f(X3,X2),f(X2,f(X2,X2))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_100]),c_0_126]) ).
cnf(c_0_130,plain,
f(X1,f(f(X1,f(X2,f(X2,X2))),X3)) = f(X1,X1),
inference(spm,[status(thm)],[c_0_127,c_0_11]) ).
cnf(c_0_131,negated_conjecture,
f(x0,f(f(x1,x2),f(x1,x2))) != f(x1,f(f(x0,x2),f(x0,x2))),
goals ).
cnf(c_0_132,plain,
f(X1,f(f(X2,X3),f(X2,X3))) = f(f(f(X1,X3),f(X1,X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_133,negated_conjecture,
f(x0,f(f(x2,x1),f(x2,x1))) != f(x1,f(f(x2,x0),f(x2,x0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_53]),c_0_53]),c_0_53]) ).
cnf(c_0_134,plain,
f(X1,f(f(X2,X3),f(X2,X3))) = f(X2,f(f(X1,X3),f(X1,X3))),
inference(spm,[status(thm)],[c_0_53,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134]),c_0_53]),c_0_53]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : LAT393-1 : TPTP v8.1.2. Released v5.4.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 10:57:44 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.s58OMyJHce/E---3.1_27651.p
% 917.81/117.74 # Version: 3.1pre001
% 917.81/117.74 # Preprocessing class: FSSSSMSSSSSNFFN.
% 917.81/117.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 917.81/117.74 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 917.81/117.74 # Starting new_bool_3 with 300s (1) cores
% 917.81/117.74 # Starting new_bool_1 with 300s (1) cores
% 917.81/117.74 # Starting sh5l with 300s (1) cores
% 917.81/117.74 # new_bool_1 with pid 27731 completed with status 0
% 917.81/117.74 # Result found by new_bool_1
% 917.81/117.74 # Preprocessing class: FSSSSMSSSSSNFFN.
% 917.81/117.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 917.81/117.74 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 917.81/117.74 # Starting new_bool_3 with 300s (1) cores
% 917.81/117.74 # Starting new_bool_1 with 300s (1) cores
% 917.81/117.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 917.81/117.74 # Search class: FUUPF-FFSF22-DFFFFFNN
% 917.81/117.74 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 917.81/117.74 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 917.81/117.74 # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27736 completed with status 0
% 917.81/117.74 # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 917.81/117.74 # Preprocessing class: FSSSSMSSSSSNFFN.
% 917.81/117.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 917.81/117.74 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 917.81/117.74 # Starting new_bool_3 with 300s (1) cores
% 917.81/117.74 # Starting new_bool_1 with 300s (1) cores
% 917.81/117.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 917.81/117.74 # Search class: FUUPF-FFSF22-DFFFFFNN
% 917.81/117.74 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 917.81/117.74 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 917.81/117.74 # Preprocessing time : 0.001 s
% 917.81/117.74 # Presaturation interreduction done
% 917.81/117.74
% 917.81/117.74 # Proof found!
% 917.81/117.74 # SZS status Unsatisfiable
% 917.81/117.74 # SZS output start CNFRefutation
% See solution above
% 917.81/117.74 # Parsed axioms : 5
% 917.81/117.74 # Removed by relevancy pruning/SinE : 3
% 917.81/117.74 # Initial clauses : 2
% 917.81/117.74 # Removed in clause preprocessing : 0
% 917.81/117.74 # Initial clauses in saturation : 2
% 917.81/117.74 # Processed clauses : 625595
% 917.81/117.74 # ...of these trivial : 164285
% 917.81/117.74 # ...subsumed : 459875
% 917.81/117.74 # ...remaining for further processing : 1435
% 917.81/117.74 # Other redundant clauses eliminated : 0
% 917.81/117.74 # Clauses deleted for lack of memory : 733482
% 917.81/117.74 # Backward-subsumed : 13
% 917.81/117.74 # Backward-rewritten : 442
% 917.81/117.74 # Generated clauses : 6649628
% 917.81/117.74 # ...of the previous two non-redundant : 4340131
% 917.81/117.74 # ...aggressively subsumed : 0
% 917.81/117.74 # Contextual simplify-reflections : 0
% 917.81/117.74 # Paramodulations : 6649628
% 917.81/117.74 # Factorizations : 0
% 917.81/117.74 # NegExts : 0
% 917.81/117.74 # Equation resolutions : 0
% 917.81/117.74 # Total rewrite steps : 11316186
% 917.81/117.74 # Propositional unsat checks : 0
% 917.81/117.74 # Propositional check models : 0
% 917.81/117.74 # Propositional check unsatisfiable : 0
% 917.81/117.74 # Propositional clauses : 0
% 917.81/117.74 # Propositional clauses after purity: 0
% 917.81/117.74 # Propositional unsat core size : 0
% 917.81/117.74 # Propositional preprocessing time : 0.000
% 917.81/117.74 # Propositional encoding time : 0.000
% 917.81/117.74 # Propositional solver time : 0.000
% 917.81/117.74 # Success case prop preproc time : 0.000
% 917.81/117.74 # Success case prop encoding time : 0.000
% 917.81/117.74 # Success case prop solver time : 0.000
% 917.81/117.74 # Current number of processed clauses : 978
% 917.81/117.74 # Positive orientable unit clauses : 866
% 917.81/117.74 # Positive unorientable unit clauses: 112
% 917.81/117.74 # Negative unit clauses : 0
% 917.81/117.74 # Non-unit-clauses : 0
% 917.81/117.74 # Current number of unprocessed clauses: 1361416
% 917.81/117.74 # ...number of literals in the above : 1361416
% 917.81/117.74 # Current number of archived formulas : 0
% 917.81/117.74 # Current number of archived clauses : 457
% 917.81/117.74 # Clause-clause subsumption calls (NU) : 0
% 917.81/117.74 # Rec. Clause-clause subsumption calls : 0
% 917.81/117.74 # Non-unit clause-clause subsumptions : 0
% 917.81/117.74 # Unit Clause-clause subsumption calls : 42995
% 917.81/117.74 # Rewrite failures with RHS unbound : 0
% 917.81/117.74 # BW rewrite match attempts : 281627
% 917.81/117.74 # BW rewrite match successes : 6231
% 917.81/117.74 # Condensation attempts : 0
% 917.81/117.74 # Condensation successes : 0
% 917.81/117.74 # Termbank termtop insertions : 148027738
% 917.81/117.74
% 917.81/117.74 # -------------------------------------------------
% 917.81/117.74 # User time : 113.564 s
% 917.81/117.74 # System time : 1.671 s
% 917.81/117.74 # Total time : 115.235 s
% 917.81/117.74 # Maximum resident set size: 1616 pages
% 917.81/117.74
% 917.81/117.74 # -------------------------------------------------
% 917.81/117.74 # User time : 113.564 s
% 917.81/117.74 # System time : 1.678 s
% 917.81/117.74 # Total time : 115.242 s
% 917.81/117.74 # Maximum resident set size: 1680 pages
% 917.81/117.74 % E---3.1 exiting
% 917.81/117.74 % E---3.1 exiting
%------------------------------------------------------------------------------