TSTP Solution File: LCL148-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LCL148-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:11:42 EDT 2023
% Result : Unsatisfiable 623.82s 82.00s
% Output : CNFRefutation 623.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 7
% Syntax : Number of clauses : 180 ( 180 unt; 0 nHn; 3 RR)
% Number of literals : 180 ( 179 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 410 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(big_V_definition,axiom,
big_V(X1,X2) = implies(implies(X1,X2),X2),
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',big_V_definition) ).
cnf(wajsberg_3,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',wajsberg_3) ).
cnf(wajsberg_2,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',wajsberg_2) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',wajsberg_1) ).
cnf(wajsberg_4,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',wajsberg_4) ).
cnf(big_hat_definition,axiom,
big_hat(X1,X2) = not(big_V(not(X1),not(X2))),
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',big_hat_definition) ).
cnf(prove_wajsberg_theorem,negated_conjecture,
implies(x,big_hat(y,z)) != big_hat(implies(x,y),implies(x,z)),
file('/export/starexec/sandbox2/tmp/tmp.gfzFfh6oDC/E---3.1_2286.p',prove_wajsberg_theorem) ).
cnf(c_0_7,axiom,
big_V(X1,X2) = implies(implies(X1,X2),X2),
big_V_definition ).
cnf(c_0_8,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
wajsberg_3 ).
cnf(c_0_9,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
wajsberg_2 ).
cnf(c_0_10,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_11,plain,
big_V(X1,X2) = implies(implies(X2,X1),X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_13,plain,
implies(implies(X1,truth),truth) = implies(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_7]) ).
cnf(c_0_14,plain,
implies(X1,X1) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_12]),c_0_10]) ).
cnf(c_0_15,plain,
implies(implies(X1,truth),truth) = truth,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
implies(X1,big_V(X1,X2)) = truth,
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_17,plain,
implies(X1,truth) = truth,
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_18,plain,
implies(implies(big_V(X1,X2),X3),implies(X1,X3)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_16]),c_0_10]) ).
cnf(c_0_19,plain,
implies(X1,big_V(X2,X1)) = truth,
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_20,plain,
implies(X1,implies(X2,X1)) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_17]),c_0_10]),c_0_10]) ).
cnf(c_0_21,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
wajsberg_4 ).
cnf(c_0_22,plain,
implies(X1,big_V(X2,big_V(X1,X3))) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_10]) ).
cnf(c_0_23,plain,
big_V(X1,implies(X2,X1)) = implies(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_20]),c_0_10]) ).
cnf(c_0_24,plain,
big_V(X1,X2) = big_V(X2,X1),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_25,plain,
implies(implies(not(X1),not(truth)),X1) = truth,
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,plain,
implies(X1,big_V(X2,implies(X3,X1))) = truth,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
big_V(implies(X1,X2),implies(not(X2),not(X1))) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_21]),c_0_10]),c_0_24]) ).
cnf(c_0_28,plain,
big_V(X1,implies(not(X1),not(truth))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_25]),c_0_10]),c_0_24]) ).
cnf(c_0_29,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
implies(not(truth),X1) = truth,
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_31,plain,
big_V(not(X1),implies(X1,X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_29]),c_0_10]) ).
cnf(c_0_32,axiom,
big_hat(X1,X2) = not(big_V(not(X1),not(X2))),
big_hat_definition ).
cnf(c_0_33,plain,
big_V(not(truth),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_30]),c_0_10]) ).
cnf(c_0_34,plain,
implies(not(X1),big_V(X2,implies(X1,X3))) = truth,
inference(spm,[status(thm)],[c_0_22,c_0_31]) ).
cnf(c_0_35,plain,
not(not(X1)) = big_hat(truth,X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
implies(big_hat(truth,X1),X1) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_35]) ).
cnf(c_0_37,plain,
big_hat(truth,not(X1)) = not(big_hat(truth,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_35]) ).
cnf(c_0_38,plain,
implies(not(big_hat(truth,X1)),not(X1)) = truth,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,plain,
big_V(X1,X1) = implies(implies(implies(X1,truth),truth),X1),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_40,plain,
implies(X1,big_hat(truth,X1)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_10]) ).
cnf(c_0_41,plain,
big_V(X1,big_hat(truth,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_36]),c_0_10]),c_0_24]) ).
cnf(c_0_42,plain,
big_V(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_15]),c_0_10]) ).
cnf(c_0_43,plain,
big_hat(truth,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_40]),c_0_41]),c_0_10]) ).
cnf(c_0_44,plain,
not(not(X1)) = big_hat(X1,X1),
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_45,plain,
implies(big_V(X1,X2),X2) = big_V(implies(X1,X2),X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_46,plain,
not(not(X1)) = X1,
inference(rw,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_47,plain,
big_hat(truth,X1) = big_hat(X1,X1),
inference(rw,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_48,plain,
implies(big_V(X1,X2),X2) = big_V(X2,implies(X1,X2)),
inference(rw,[status(thm)],[c_0_45,c_0_24]) ).
cnf(c_0_49,plain,
big_V(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = implies(implies(X2,X3),implies(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_9]),c_0_10]) ).
cnf(c_0_50,plain,
implies(X1,not(truth)) = not(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_31]) ).
cnf(c_0_51,plain,
big_hat(X1,big_V(not(X2),not(X3))) = not(big_V(not(X1),big_hat(X2,X3))),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_52,plain,
implies(big_hat(X1,X1),X1) = truth,
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_53,plain,
implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1)) = implies(implies(X1,X2),implies(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_54,plain,
implies(big_V(X1,X2),X2) = implies(X1,X2),
inference(rw,[status(thm)],[c_0_48,c_0_23]) ).
cnf(c_0_55,plain,
implies(not(X1),not(X2)) = implies(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_50]),c_0_27]),c_0_50]) ).
cnf(c_0_56,plain,
big_V(not(X1),not(X2)) = not(big_hat(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_33]) ).
cnf(c_0_57,plain,
not(big_V(not(X1),big_hat(X2,X2))) = big_hat(X1,not(X2)),
inference(spm,[status(thm)],[c_0_51,c_0_42]) ).
cnf(c_0_58,plain,
big_V(X1,big_hat(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_52]),c_0_10]),c_0_24]) ).
cnf(c_0_59,plain,
big_V(implies(implies(X1,X2),implies(X3,X2)),implies(big_V(X3,X2),X1)) = implies(implies(X1,X2),implies(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_7]) ).
cnf(c_0_60,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_20]),c_0_10]) ).
cnf(c_0_61,plain,
big_V(implies(X1,implies(X2,X3)),implies(big_V(X2,X3),implies(X1,X3))) = implies(big_V(X2,X3),implies(X1,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_7]) ).
cnf(c_0_62,plain,
implies(implies(X1,X2),not(X1)) = not(big_hat(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_55]),c_0_56]) ).
cnf(c_0_63,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_64,plain,
not(big_hat(not(X1),X2)) = big_V(X1,not(X2)),
inference(spm,[status(thm)],[c_0_56,c_0_46]) ).
cnf(c_0_65,plain,
big_hat(X1,big_hat(truth,X1)) = big_hat(truth,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35]),c_0_35]) ).
cnf(c_0_66,plain,
implies(not(big_V(X1,X2)),not(X1)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_50]),c_0_50]) ).
cnf(c_0_67,plain,
big_V(implies(X1,X2),not(X1)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_29]),c_0_10]) ).
cnf(c_0_68,plain,
implies(big_V(X1,X2),implies(implies(X3,X2),X2)) = implies(implies(X3,X2),implies(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_69,plain,
implies(X1,not(implies(X1,X2))) = not(big_hat(X2,X1)),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
implies(big_V(X1,not(X2)),not(X3)) = implies(X3,big_hat(not(X1),X2)),
inference(spm,[status(thm)],[c_0_55,c_0_64]) ).
cnf(c_0_71,plain,
big_hat(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_43]),c_0_43]) ).
cnf(c_0_72,plain,
implies(big_hat(X1,X2),X1) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_56]),c_0_35]),c_0_43]),c_0_35]),c_0_43]) ).
cnf(c_0_73,plain,
implies(X1,big_hat(X2,X1)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_62]),c_0_67]),c_0_55]) ).
cnf(c_0_74,plain,
big_hat(X1,X2) = big_hat(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_32]) ).
cnf(c_0_75,plain,
implies(implies(X1,X2),implies(X3,not(X1))) = implies(big_hat(X2,X1),big_hat(not(X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_55]),c_0_63]),c_0_69]),c_0_70]) ).
cnf(c_0_76,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
cnf(c_0_77,plain,
not(big_V(not(X1),X2)) = big_hat(X1,not(X2)),
inference(spm,[status(thm)],[c_0_57,c_0_71]) ).
cnf(c_0_78,plain,
big_V(X1,big_hat(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_72]),c_0_10]),c_0_24]) ).
cnf(c_0_79,plain,
implies(X1,big_hat(X1,X2)) = implies(X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
implies(implies(X1,X2),implies(X1,implies(X3,X2))) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_20]),c_0_10]) ).
cnf(c_0_81,plain,
implies(implies(X1,X2),implies(X1,X3)) = implies(big_hat(X2,X1),big_hat(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_35]),c_0_43]),c_0_46]) ).
cnf(c_0_82,plain,
implies(big_hat(X1,X2),X2) = truth,
inference(spm,[status(thm)],[c_0_72,c_0_74]) ).
cnf(c_0_83,plain,
big_hat(X1,big_V(X1,not(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_35]),c_0_43]),c_0_64]) ).
cnf(c_0_84,plain,
big_V(implies(X1,X2),implies(implies(big_hat(X1,X2),X3),implies(X1,X3))) = implies(implies(big_hat(X1,X2),X3),implies(X1,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_79]) ).
cnf(c_0_85,plain,
implies(big_hat(X1,X2),big_hat(implies(X3,X1),X2)) = truth,
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
big_V(implies(X1,X2),implies(X1,big_hat(X3,X2))) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_82]),c_0_10]),c_0_10]),c_0_24]) ).
cnf(c_0_87,plain,
big_hat(big_V(not(X1),not(X2)),X3) = not(big_V(big_hat(X1,X2),not(X3))),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_88,plain,
big_hat(X1,big_V(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_83,c_0_46]) ).
cnf(c_0_89,plain,
implies(X1,big_hat(implies(X2,X1),X3)) = implies(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_10]),c_0_86]),c_0_10]) ).
cnf(c_0_90,plain,
not(big_V(big_hat(X1,X1),not(X2))) = big_hat(not(X1),X2),
inference(spm,[status(thm)],[c_0_87,c_0_42]) ).
cnf(c_0_91,plain,
big_hat(not(X1),implies(X1,X2)) = not(X1),
inference(spm,[status(thm)],[c_0_88,c_0_31]) ).
cnf(c_0_92,plain,
implies(not(X1),big_hat(X2,not(X3))) = implies(big_V(not(X2),X3),X1),
inference(spm,[status(thm)],[c_0_55,c_0_77]) ).
cnf(c_0_93,plain,
implies(X1,big_hat(big_V(X2,X1),X3)) = implies(X1,X3),
inference(spm,[status(thm)],[c_0_89,c_0_7]) ).
cnf(c_0_94,plain,
not(big_V(X1,not(X2))) = big_hat(not(X1),X2),
inference(spm,[status(thm)],[c_0_90,c_0_71]) ).
cnf(c_0_95,plain,
implies(implies(X1,X2),big_hat(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_62]),c_0_55]),c_0_91]),c_0_35]),c_0_43]) ).
cnf(c_0_96,plain,
implies(big_V(big_hat(not(X1),X2),X3),X2) = implies(X3,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_55]),c_0_94]) ).
cnf(c_0_97,plain,
implies(implies(implies(X1,implies(X2,big_hat(X3,X1))),implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))) = implies(X1,implies(X2,big_hat(X3,X1))),
inference(spm,[status(thm)],[c_0_53,c_0_95]) ).
cnf(c_0_98,plain,
implies(implies(X1,X2),big_hat(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_79]),c_0_78]) ).
cnf(c_0_99,plain,
implies(big_V(big_hat(X1,X2),X3),X2) = implies(X3,X2),
inference(spm,[status(thm)],[c_0_96,c_0_46]) ).
cnf(c_0_100,plain,
big_V(implies(X1,X2),implies(big_V(X1,X3),X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_18]),c_0_10]),c_0_24]) ).
cnf(c_0_101,plain,
implies(implies(X1,X2),implies(X2,X1)) = implies(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_20]),c_0_10]) ).
cnf(c_0_102,plain,
big_V(X1,big_V(X2,X1)) = big_V(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_10]) ).
cnf(c_0_103,plain,
implies(big_V(X1,big_hat(X2,X3)),X3) = implies(X1,X3),
inference(spm,[status(thm)],[c_0_99,c_0_24]) ).
cnf(c_0_104,plain,
implies(implies(implies(big_V(X1,X2),implies(X3,X2)),implies(X3,implies(X1,X2))),implies(X3,implies(X1,X2))) = implies(big_V(X1,X2),implies(X3,X2)),
inference(spm,[status(thm)],[c_0_53,c_0_7]) ).
cnf(c_0_105,plain,
implies(big_V(implies(X1,X2),X3),implies(X2,X1)) = implies(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_23]) ).
cnf(c_0_106,plain,
big_V(X1,big_V(big_hat(X2,X1),X3)) = implies(implies(X3,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_99]),c_0_24]) ).
cnf(c_0_107,plain,
big_hat(X1,big_V(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_88,c_0_102]) ).
cnf(c_0_108,plain,
big_V(X1,big_V(X2,big_hat(X3,X1))) = implies(implies(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_103]),c_0_24]) ).
cnf(c_0_109,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_80]),c_0_10]) ).
cnf(c_0_110,plain,
big_V(implies(X1,implies(X2,X3)),implies(X1,implies(big_V(X2,X4),X3))) = implies(X1,implies(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_18]),c_0_10]),c_0_10]),c_0_24]) ).
cnf(c_0_111,plain,
big_V(implies(X1,X2),implies(X1,implies(X3,X2))) = implies(X1,implies(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_20]),c_0_10]),c_0_10]) ).
cnf(c_0_112,plain,
big_hat(X1,not(implies(X1,X2))) = not(implies(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_67]),c_0_74]) ).
cnf(c_0_113,plain,
implies(big_V(X1,X2),X1) = big_V(X1,implies(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_11]),c_0_24]) ).
cnf(c_0_114,plain,
big_V(big_V(X1,X2),big_V(X2,X3)) = big_V(X3,big_V(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_7]) ).
cnf(c_0_115,plain,
big_V(big_V(X1,X2),big_V(X3,X1)) = big_V(X3,big_V(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_88]),c_0_7]) ).
cnf(c_0_116,plain,
implies(big_V(X1,X2),big_V(X3,X2)) = implies(implies(X3,X2),implies(X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_7]) ).
cnf(c_0_117,plain,
not(big_hat(X1,implies(implies(X2,X1),X2))) = not(big_hat(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_109]),c_0_69]),c_0_74]) ).
cnf(c_0_118,plain,
implies(X1,implies(big_V(implies(X2,X1),X3),X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_111]) ).
cnf(c_0_119,plain,
implies(not(implies(X1,X2)),X1) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_31]),c_0_35]),c_0_43]) ).
cnf(c_0_120,plain,
implies(not(implies(X1,X2)),big_hat(X3,X1)) = implies(not(big_hat(X2,X1)),implies(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_69]),c_0_74]),c_0_112]) ).
cnf(c_0_121,plain,
implies(big_V(X1,X2),X1) = implies(X2,X1),
inference(rw,[status(thm)],[c_0_113,c_0_23]) ).
cnf(c_0_122,plain,
big_V(X1,big_V(X2,X3)) = big_V(X3,big_V(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_114]),c_0_115]) ).
cnf(c_0_123,plain,
implies(big_V(X1,X2),big_V(X3,X1)) = implies(implies(X3,X1),implies(X2,X1)),
inference(spm,[status(thm)],[c_0_116,c_0_24]) ).
cnf(c_0_124,plain,
big_hat(X1,implies(implies(X2,X1),X2)) = big_hat(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_117]),c_0_46]) ).
cnf(c_0_125,plain,
implies(X1,implies(implies(X2,implies(X3,X1)),X2)) = implies(X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_111]) ).
cnf(c_0_126,plain,
big_V(X1,not(implies(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_119]),c_0_10]),c_0_24]) ).
cnf(c_0_127,plain,
implies(not(implies(X1,X2)),big_hat(X1,X3)) = implies(not(big_hat(X2,X1)),implies(X1,X3)),
inference(spm,[status(thm)],[c_0_120,c_0_74]) ).
cnf(c_0_128,plain,
big_hat(X1,implies(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_88,c_0_23]) ).
cnf(c_0_129,plain,
implies(big_V(X1,big_V(X2,X3)),X3) = implies(big_V(X1,X2),X3),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,plain,
implies(implies(X1,X2),implies(big_V(X3,X1),X2)) = implies(X3,big_V(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_122]),c_0_123]) ).
cnf(c_0_131,plain,
implies(X1,big_hat(X2,implies(X3,X1))) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_124]),c_0_125]) ).
cnf(c_0_132,plain,
implies(X1,big_V(big_V(X1,X2),X3)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_10]) ).
cnf(c_0_133,plain,
implies(not(big_hat(X1,X2)),implies(X2,X3)) = implies(not(implies(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_126]),c_0_127]) ).
cnf(c_0_134,plain,
not(big_hat(X1,not(X2))) = big_V(not(X1),X2),
inference(spm,[status(thm)],[c_0_56,c_0_46]) ).
cnf(c_0_135,plain,
implies(big_V(X1,X2),implies(X3,X2)) = implies(X1,implies(X3,X2)),
inference(spm,[status(thm)],[c_0_103,c_0_128]) ).
cnf(c_0_136,plain,
implies(X1,big_V(X2,X3)) = implies(implies(X2,X3),implies(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_129]),c_0_123]),c_0_129]),c_0_130]) ).
cnf(c_0_137,plain,
implies(big_hat(X1,X2),big_hat(X3,X2)) = implies(big_hat(X1,X2),X3),
inference(spm,[status(thm)],[c_0_131,c_0_95]) ).
cnf(c_0_138,plain,
big_V(not(X1),X2) = implies(implies(not(X2),X1),X2),
inference(spm,[status(thm)],[c_0_7,c_0_76]) ).
cnf(c_0_139,plain,
big_V(X1,big_V(X1,X2)) = big_V(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_10]) ).
cnf(c_0_140,plain,
big_V(X1,big_V(big_V(X1,X2),X3)) = big_V(big_V(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_132]),c_0_10]) ).
cnf(c_0_141,plain,
implies(not(implies(not(X1),X2)),X3) = implies(not(X2),implies(not(X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_76]),c_0_134]),c_0_135]) ).
cnf(c_0_142,plain,
big_V(implies(X1,X2),implies(X3,X2)) = implies(big_hat(big_V(X3,X2),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_136]),c_0_81]),c_0_137]) ).
cnf(c_0_143,plain,
big_V(X1,not(X2)) = implies(implies(not(X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_79]),c_0_64]),c_0_24]),c_0_139]) ).
cnf(c_0_144,plain,
big_V(X1,implies(not(X1),X2)) = implies(not(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_46]),c_0_24]) ).
cnf(c_0_145,plain,
big_V(X1,big_V(X2,X3)) = big_V(X2,big_V(X1,X3)),
inference(spm,[status(thm)],[c_0_122,c_0_24]) ).
cnf(c_0_146,plain,
big_V(X1,big_V(implies(X2,X1),X3)) = big_V(implies(X2,X1),X3),
inference(spm,[status(thm)],[c_0_140,c_0_23]) ).
cnf(c_0_147,plain,
implies(not(X1),big_hat(X2,implies(X1,X3))) = implies(not(X1),X2),
inference(spm,[status(thm)],[c_0_131,c_0_55]) ).
cnf(c_0_148,plain,
implies(implies(X1,not(X2)),big_hat(not(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_95,c_0_63]) ).
cnf(c_0_149,plain,
implies(not(implies(X1,X2)),X3) = implies(not(X2),implies(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_46]),c_0_55]) ).
cnf(c_0_150,plain,
not(big_hat(X1,big_hat(implies(X2,X1),X3))) = not(big_hat(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_89]),c_0_69]),c_0_74]) ).
cnf(c_0_151,plain,
big_V(implies(X1,X2),not(X3)) = implies(big_hat(implies(not(X2),X3),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_24]),c_0_144]),c_0_145]),c_0_146]) ).
cnf(c_0_152,plain,
implies(X1,implies(X2,big_hat(X3,X1))) = implies(X1,implies(X2,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(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_35]),c_0_43]),c_0_149]),c_0_35]),c_0_43]) ).
cnf(c_0_153,plain,
big_hat(X1,big_hat(implies(X2,X1),X3)) = big_hat(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_150]),c_0_46]) ).
cnf(c_0_154,plain,
implies(big_V(implies(X1,X2),not(X3)),X2) = big_V(X2,big_hat(implies(not(X2),X3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_151]),c_0_24]) ).
cnf(c_0_155,plain,
not(big_hat(X1,implies(X2,big_hat(X3,X1)))) = not(big_hat(implies(X2,X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_152]),c_0_69]),c_0_74]) ).
cnf(c_0_156,plain,
big_hat(X1,big_hat(X2,implies(X3,X1))) = big_hat(X2,X1),
inference(spm,[status(thm)],[c_0_153,c_0_74]) ).
cnf(c_0_157,plain,
not(implies(implies(not(X1),X2),X2)) = big_hat(not(X2),X1),
inference(spm,[status(thm)],[c_0_94,c_0_11]) ).
cnf(c_0_158,plain,
implies(big_V(X1,big_V(X2,X3)),X2) = implies(big_V(X3,X1),X2),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_159,plain,
implies(big_V(implies(X1,X2),X3),X2) = big_V(X2,big_hat(implies(X3,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_46]),c_0_55]) ).
cnf(c_0_160,plain,
big_hat(X1,implies(X2,big_hat(X3,X1))) = big_hat(implies(X2,X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_155]),c_0_46]) ).
cnf(c_0_161,plain,
big_V(X1,big_hat(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_78,c_0_74]) ).
cnf(c_0_162,plain,
big_hat(big_hat(X1,X2),big_hat(X2,X3)) = big_hat(X3,big_hat(X1,X2)),
inference(spm,[status(thm)],[c_0_153,c_0_95]) ).
cnf(c_0_163,plain,
big_hat(big_hat(X1,X2),big_hat(X3,X1)) = big_hat(X3,big_hat(X1,X2)),
inference(spm,[status(thm)],[c_0_156,c_0_98]) ).
cnf(c_0_164,plain,
not(implies(implies(not(X1),X2),X1)) = big_hat(not(X1),X2),
inference(spm,[status(thm)],[c_0_157,c_0_76]) ).
cnf(c_0_165,plain,
implies(not(X1),implies(big_V(X2,X1),X3)) = implies(not(X1),implies(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_54]),c_0_149]) ).
cnf(c_0_166,plain,
implies(big_V(X1,implies(X2,X3)),X3) = big_V(X3,big_hat(implies(X1,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_121]) ).
cnf(c_0_167,plain,
big_hat(X1,implies(X2,big_hat(X1,X3))) = big_hat(implies(X2,X3),X1),
inference(spm,[status(thm)],[c_0_160,c_0_74]) ).
cnf(c_0_168,plain,
big_V(big_hat(X1,X2),big_hat(implies(X3,X2),X1)) = big_hat(implies(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_153]),c_0_24]) ).
cnf(c_0_169,plain,
big_hat(X1,big_hat(X2,X3)) = big_hat(X3,big_hat(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_162]),c_0_163]) ).
cnf(c_0_170,plain,
big_hat(not(X1),implies(big_V(X2,X1),X3)) = big_hat(not(X1),implies(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_164]) ).
cnf(c_0_171,plain,
big_hat(X1,implies(not(big_hat(X2,X1)),X3)) = big_hat(implies(not(X3),X2),X1),
inference(spm,[status(thm)],[c_0_160,c_0_76]) ).
cnf(c_0_172,plain,
implies(big_V(X1,implies(X2,X3)),big_hat(X2,X3)) = big_hat(implies(X1,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_79]),c_0_74]),c_0_167]),c_0_168]) ).
cnf(c_0_173,plain,
big_hat(implies(X1,X2),not(X1)) = not(X1),
inference(spm,[status(thm)],[c_0_74,c_0_91]) ).
cnf(c_0_174,plain,
implies(X1,big_hat(X2,big_hat(X3,X1))) = implies(X1,big_hat(X2,X3)),
inference(spm,[status(thm)],[c_0_79,c_0_169]) ).
cnf(c_0_175,plain,
big_hat(implies(not(X1),X2),X3) = big_hat(X3,implies(not(X2),X1)),
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_170,c_0_56]),c_0_35]),c_0_43]),c_0_35]),c_0_43]),c_0_171]) ).
cnf(c_0_176,plain,
big_hat(implies(X1,not(X2)),implies(X2,X3)) = implies(X2,big_hat(not(X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_63]),c_0_69]),c_0_70]),c_0_174]) ).
cnf(c_0_177,negated_conjecture,
implies(x,big_hat(y,z)) != big_hat(implies(x,y),implies(x,z)),
prove_wajsberg_theorem ).
cnf(c_0_178,plain,
big_hat(implies(X1,X2),implies(X1,X3)) = implies(X1,big_hat(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_35]),c_0_43]),c_0_35]),c_0_43]) ).
cnf(c_0_179,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL148-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n017.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 11:13:26 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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.gfzFfh6oDC/E---3.1_2286.p
% 623.82/82.00 # Version: 3.1pre001
% 623.82/82.00 # Preprocessing class: FSSSSMSSSSSNFFN.
% 623.82/82.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 623.82/82.00 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 623.82/82.00 # Starting new_bool_3 with 300s (1) cores
% 623.82/82.00 # Starting new_bool_1 with 300s (1) cores
% 623.82/82.00 # Starting sh5l with 300s (1) cores
% 623.82/82.00 # new_bool_3 with pid 2365 completed with status 0
% 623.82/82.00 # Result found by new_bool_3
% 623.82/82.00 # Preprocessing class: FSSSSMSSSSSNFFN.
% 623.82/82.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 623.82/82.00 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 623.82/82.00 # Starting new_bool_3 with 300s (1) cores
% 623.82/82.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 623.82/82.00 # Search class: FUUPM-FFSF21-MFFFFFNN
% 623.82/82.00 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 623.82/82.00 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 623.82/82.00 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 2369 completed with status 0
% 623.82/82.00 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 623.82/82.00 # Preprocessing class: FSSSSMSSSSSNFFN.
% 623.82/82.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 623.82/82.00 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 623.82/82.00 # Starting new_bool_3 with 300s (1) cores
% 623.82/82.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 623.82/82.00 # Search class: FUUPM-FFSF21-MFFFFFNN
% 623.82/82.00 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 623.82/82.00 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 623.82/82.00 # Preprocessing time : 0.001 s
% 623.82/82.00 # Presaturation interreduction done
% 623.82/82.00
% 623.82/82.00 # Proof found!
% 623.82/82.00 # SZS status Unsatisfiable
% 623.82/82.00 # SZS output start CNFRefutation
% See solution above
% 623.82/82.00 # Parsed axioms : 9
% 623.82/82.00 # Removed by relevancy pruning/SinE : 2
% 623.82/82.00 # Initial clauses : 7
% 623.82/82.00 # Removed in clause preprocessing : 0
% 623.82/82.00 # Initial clauses in saturation : 7
% 623.82/82.00 # Processed clauses : 60761
% 623.82/82.00 # ...of these trivial : 35361
% 623.82/82.00 # ...subsumed : 22489
% 623.82/82.00 # ...remaining for further processing : 2911
% 623.82/82.00 # Other redundant clauses eliminated : 0
% 623.82/82.00 # Clauses deleted for lack of memory : 1188318
% 623.82/82.00 # Backward-subsumed : 1
% 623.82/82.00 # Backward-rewritten : 1300
% 623.82/82.00 # Generated clauses : 5090015
% 623.82/82.00 # ...of the previous two non-redundant : 2801331
% 623.82/82.00 # ...aggressively subsumed : 0
% 623.82/82.00 # Contextual simplify-reflections : 0
% 623.82/82.00 # Paramodulations : 5090015
% 623.82/82.00 # Factorizations : 0
% 623.82/82.00 # NegExts : 0
% 623.82/82.00 # Equation resolutions : 0
% 623.82/82.00 # Total rewrite steps : 9273822
% 623.82/82.00 # Propositional unsat checks : 0
% 623.82/82.00 # Propositional check models : 0
% 623.82/82.00 # Propositional check unsatisfiable : 0
% 623.82/82.00 # Propositional clauses : 0
% 623.82/82.00 # Propositional clauses after purity: 0
% 623.82/82.00 # Propositional unsat core size : 0
% 623.82/82.00 # Propositional preprocessing time : 0.000
% 623.82/82.00 # Propositional encoding time : 0.000
% 623.82/82.00 # Propositional solver time : 0.000
% 623.82/82.00 # Success case prop preproc time : 0.000
% 623.82/82.00 # Success case prop encoding time : 0.000
% 623.82/82.00 # Success case prop solver time : 0.000
% 623.82/82.00 # Current number of processed clauses : 1603
% 623.82/82.00 # Positive orientable unit clauses : 1543
% 623.82/82.00 # Positive unorientable unit clauses: 60
% 623.82/82.00 # Negative unit clauses : 0
% 623.82/82.00 # Non-unit-clauses : 0
% 623.82/82.00 # Current number of unprocessed clauses: 1546900
% 623.82/82.00 # ...number of literals in the above : 1546900
% 623.82/82.00 # Current number of archived formulas : 0
% 623.82/82.00 # Current number of archived clauses : 1308
% 623.82/82.00 # Clause-clause subsumption calls (NU) : 0
% 623.82/82.00 # Rec. Clause-clause subsumption calls : 0
% 623.82/82.00 # Non-unit clause-clause subsumptions : 0
% 623.82/82.00 # Unit Clause-clause subsumption calls : 3408
% 623.82/82.00 # Rewrite failures with RHS unbound : 0
% 623.82/82.00 # BW rewrite match attempts : 46514
% 623.82/82.00 # BW rewrite match successes : 6718
% 623.82/82.00 # Condensation attempts : 0
% 623.82/82.00 # Condensation successes : 0
% 623.82/82.00 # Termbank termtop insertions : 70946485
% 623.82/82.00
% 623.82/82.00 # -------------------------------------------------
% 623.82/82.00 # User time : 76.209 s
% 623.82/82.00 # System time : 1.621 s
% 623.82/82.00 # Total time : 77.830 s
% 623.82/82.00 # Maximum resident set size: 1616 pages
% 623.82/82.00
% 623.82/82.00 # -------------------------------------------------
% 623.82/82.00 # User time : 76.211 s
% 623.82/82.00 # System time : 1.624 s
% 623.82/82.00 # Total time : 77.836 s
% 623.82/82.00 # Maximum resident set size: 1676 pages
% 623.82/82.00 % E---3.1 exiting
% 623.82/82.00 % E---3.1 exiting
%------------------------------------------------------------------------------