%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HEN011-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:45:40 PM UTC 2026
% Result : Unsatisfiable 195.68s 29.32s
% Output : CNFRefutation 195.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of clauses : 178 ( 90 unt; 0 nHn; 153 RR)
% Number of literals : 353 ( 44 equ; 180 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 302 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(one_inversion_equals_three,axiom,
( ~ quotient(identity,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(closure,axiom,
quotient(X1,X2,divide(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(xLEy_implies_xQzLEyQz,axiom,
( ~ quotient(X2,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).
cnf(inversion_lemma,axiom,
( ~ quotient(X2,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inversion_lemma) ).
cnf(identity_divide_a,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(less_equal_quotient,axiom,
( ~ quotient(X1,X2,zero)
| less_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(identity_is_largest,axiom,
less_equal(X1,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(xQyLEz_implies_xQzLEy,axiom,
( ~ quotient(X1,X4,X5)
| ~ less_equal(X3,X4)
| ~ quotient(X1,X2,X3)
| less_equal(X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(x_divide_x_is_zero,axiom,
quotient(X1,X1,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(idQb_divide_idQ_idQa,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(xLEy_implies_zQyLEzQx,axiom,
( ~ quotient(X3,X1,X5)
| ~ quotient(X3,X2,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
cnf(identity_divide_idQb,hypothesis,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(idQa_divide_idQ_idQb,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(identity_divide_b,hypothesis,
quotient(identity,b,idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(divisor_existence,axiom,
( ~ quotient(X1,X2,X3)
| less_equal(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X2,X1)
| ~ less_equal(X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(quotient_property,axiom,
( ~ quotient(X3,X4,X8)
| ~ quotient(X6,X5,X7)
| ~ quotient(X1,X4,X6)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X2,X3)
| less_equal(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X1,zero,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(transitivity_of_less_equal,axiom,
( ~ less_equal(X2,X3)
| ~ less_equal(X1,X2)
| less_equal(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(zero_divide_anything_is_zero,axiom,
quotient(zero,X1,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(quotient_less_equal,axiom,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(well_defined,axiom,
( ~ quotient(X1,X2,X4)
| ~ quotient(X1,X2,X3)
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa) ).
cnf(c_0_25,plain,
( ~ quotient(identity,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[one_inversion_equals_three]) ).
cnf(c_0_26,plain,
( ~ quotient(identity,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
c_0_25 ).
cnf(c_0_27,axiom,
quotient(X1,X2,divide(X1,X2)),
closure ).
cnf(c_0_28,plain,
( ~ quotient(identity,X3,X1)
| ~ quotient(identity,X1,X2)
| X1 = divide(identity,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,hypothesis,
quotient(identity,idQa,idQ_idQa),
identity_divide_idQa ).
cnf(c_0_30,plain,
( ~ quotient(X2,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
inference(fof_simplification,[status(thm)],[xLEy_implies_xQzLEyQz]) ).
cnf(c_0_31,plain,
( ~ quotient(X2,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[inversion_lemma]) ).
cnf(c_0_32,hypothesis,
( ~ quotient(identity,X1,idQa)
| divide(identity,idQ_idQa) = idQa ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
quotient(identity,a,idQa),
identity_divide_a ).
cnf(c_0_34,plain,
( ~ quotient(X1,X2,zero)
| less_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[less_equal_quotient]) ).
cnf(c_0_35,plain,
( ~ quotient(X2,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
c_0_30 ).
cnf(c_0_36,axiom,
less_equal(X1,identity),
identity_is_largest ).
cnf(c_0_37,plain,
( ~ quotient(X2,X3,X4)
| ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| X2 = X4 ),
c_0_31 ).
cnf(c_0_38,hypothesis,
divide(identity,idQ_idQa) = idQa,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( ~ quotient(X1,X4,X5)
| ~ less_equal(X3,X4)
| ~ quotient(X1,X2,X3)
| less_equal(X5,X2) ),
inference(fof_simplification,[status(thm)],[xQyLEz_implies_xQzLEy]) ).
cnf(c_0_40,plain,
( ~ quotient(X1,X2,zero)
| less_equal(X1,X2) ),
c_0_34 ).
cnf(c_0_41,axiom,
quotient(X1,X1,zero),
x_divide_x_is_zero ).
cnf(c_0_42,plain,
( ~ quotient(X4,X3,X1)
| ~ quotient(identity,X3,X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
idQb_divide_idQ_idQa ).
cnf(c_0_44,plain,
( ~ quotient(identity,X3,X1)
| ~ quotient(identity,X1,X2)
| divide(X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_37,c_0_27]) ).
cnf(c_0_45,hypothesis,
quotient(identity,idQ_idQa,idQa),
inference(spm,[status(thm)],[c_0_27,c_0_38]) ).
cnf(c_0_46,plain,
( ~ quotient(X1,X4,X5)
| ~ less_equal(X3,X4)
| ~ quotient(X1,X2,X3)
| less_equal(X5,X2) ),
c_0_39 ).
cnf(c_0_47,plain,
less_equal(X1,X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( ~ quotient(X3,X1,X5)
| ~ quotient(X3,X2,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
inference(fof_simplification,[status(thm)],[xLEy_implies_zQyLEzQx]) ).
cnf(c_0_49,hypothesis,
( ~ quotient(identity,idQ_idQa,X1)
| less_equal(idQb_Q__idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,hypothesis,
( ~ quotient(identity,X1,idQ_idQa)
| divide(idQ_idQa,idQa) = idQ_idQa ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( ~ quotient(X3,X2,X4)
| ~ quotient(X3,X4,X1)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,hypothesis,
quotient(identity,idQb,idQ_idQb),
identity_divide_idQb ).
cnf(c_0_53,plain,
( ~ quotient(X3,X1,X5)
| ~ quotient(X3,X2,X4)
| ~ less_equal(X1,X2)
| less_equal(X4,X5) ),
c_0_48 ).
cnf(c_0_54,hypothesis,
less_equal(idQb_Q__idQ_idQa,idQa),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_38]) ).
cnf(c_0_55,hypothesis,
divide(idQ_idQa,idQa) = idQ_idQa,
inference(spm,[status(thm)],[c_0_50,c_0_29]) ).
cnf(c_0_56,plain,
( ~ quotient(X1,X3,X2)
| less_equal(divide(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_57,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
idQa_divide_idQ_idQb ).
cnf(c_0_58,hypothesis,
( ~ quotient(identity,X1,idQb)
| divide(idQb,idQ_idQb) = idQb ),
inference(spm,[status(thm)],[c_0_44,c_0_52]) ).
cnf(c_0_59,hypothesis,
quotient(identity,b,idQb),
identity_divide_b ).
cnf(c_0_60,hypothesis,
( ~ quotient(X3,idQb_Q__idQ_idQa,X2)
| ~ quotient(X3,idQa,X1)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,hypothesis,
quotient(idQ_idQa,idQa,idQ_idQa),
inference(spm,[status(thm)],[c_0_27,c_0_55]) ).
cnf(c_0_62,plain,
( ~ quotient(X1,X2,X3)
| less_equal(X3,X1) ),
inference(fof_simplification,[status(thm)],[divisor_existence]) ).
cnf(c_0_63,hypothesis,
less_equal(divide(idQa,idQa_Q__idQ_idQb),idQ_idQb),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,hypothesis,
divide(idQb,idQ_idQb) = idQb,
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( ~ less_equal(X2,X1)
| ~ less_equal(X1,X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[less_equal_and_equal]) ).
cnf(c_0_66,hypothesis,
( ~ quotient(idQ_idQa,idQb_Q__idQ_idQa,X1)
| less_equal(idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
( ~ quotient(X1,X2,X3)
| less_equal(X3,X1) ),
c_0_62 ).
cnf(c_0_68,hypothesis,
( ~ quotient(X3,idQ_idQb,X1)
| ~ quotient(X3,divide(idQa,idQa_Q__idQ_idQb),X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_63]) ).
cnf(c_0_69,hypothesis,
quotient(idQb,idQ_idQb,idQb),
inference(spm,[status(thm)],[c_0_27,c_0_64]) ).
cnf(c_0_70,plain,
( ~ less_equal(X2,X1)
| ~ less_equal(X1,X2)
| X1 = X2 ),
c_0_65 ).
cnf(c_0_71,hypothesis,
less_equal(idQ_idQa,divide(idQ_idQa,idQb_Q__idQ_idQa)),
inference(spm,[status(thm)],[c_0_66,c_0_27]) ).
cnf(c_0_72,plain,
less_equal(divide(X1,X2),X1),
inference(spm,[status(thm)],[c_0_67,c_0_27]) ).
cnf(c_0_73,hypothesis,
( ~ quotient(idQb_Q__idQ_idQa,X3,X1)
| ~ quotient(idQa,X3,X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_74,hypothesis,
( ~ quotient(idQb,divide(idQa,idQa_Q__idQ_idQb),X1)
| less_equal(idQb,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,hypothesis,
divide(idQ_idQa,idQb_Q__idQ_idQa) = idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_76,hypothesis,
( ~ quotient(idQb_Q__idQ_idQa,X2,X1)
| less_equal(X1,divide(idQa,X2)) ),
inference(spm,[status(thm)],[c_0_73,c_0_27]) ).
cnf(c_0_77,hypothesis,
less_equal(idQb,divide(idQb,divide(idQa,idQa_Q__idQ_idQb))),
inference(spm,[status(thm)],[c_0_74,c_0_27]) ).
cnf(c_0_78,plain,
( ~ quotient(X3,X4,X8)
| ~ quotient(X6,X5,X7)
| ~ quotient(X1,X4,X6)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X2,X3)
| less_equal(X7,X8) ),
inference(fof_simplification,[status(thm)],[quotient_property]) ).
cnf(c_0_79,plain,
( ~ quotient(X3,X4,X1)
| ~ quotient(X3,divide(X4,X5),X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_72]) ).
cnf(c_0_80,hypothesis,
quotient(idQ_idQa,idQb_Q__idQ_idQa,idQ_idQa),
inference(spm,[status(thm)],[c_0_27,c_0_75]) ).
cnf(c_0_81,hypothesis,
less_equal(divide(idQb_Q__idQ_idQa,X1),divide(idQa,X1)),
inference(spm,[status(thm)],[c_0_76,c_0_27]) ).
cnf(c_0_82,hypothesis,
divide(idQb,divide(idQa,idQa_Q__idQ_idQb)) = idQb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_77]),c_0_72])]) ).
cnf(c_0_83,plain,
( ~ quotient(X3,X4,X8)
| ~ quotient(X6,X5,X7)
| ~ quotient(X1,X4,X6)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X2,X3)
| less_equal(X7,X8) ),
c_0_78 ).
cnf(c_0_84,axiom,
quotient(X1,zero,X1),
x_divde_zero_is_x ).
cnf(c_0_85,hypothesis,
( ~ quotient(idQ_idQa,divide(idQb_Q__idQ_idQa,X2),X1)
| less_equal(idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,hypothesis,
( ~ quotient(X3,divide(idQb_Q__idQ_idQa,X4),X2)
| ~ quotient(X3,divide(idQa,X4),X1)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_81]) ).
cnf(c_0_87,hypothesis,
quotient(idQb,divide(idQa,idQa_Q__idQ_idQb),idQb),
inference(spm,[status(thm)],[c_0_27,c_0_82]) ).
cnf(c_0_88,hypothesis,
( ~ quotient(identity,X1,idQb)
| divide(identity,idQ_idQb) = idQb ),
inference(spm,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_89,plain,
( ~ quotient(X6,X3,X5)
| ~ quotient(X6,X4,X1)
| ~ quotient(X5,X4,X2)
| ~ quotient(X3,X4,zero)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,hypothesis,
( ~ quotient(X4,X2,X5)
| ~ quotient(X5,X3,X1)
| ~ quotient(X4,X3,idQb)
| ~ quotient(X2,X3,idQ_idQa)
| less_equal(idQb_Q__idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_43]) ).
cnf(c_0_91,hypothesis,
less_equal(idQ_idQa,divide(idQ_idQa,divide(idQb_Q__idQ_idQa,X1))),
inference(spm,[status(thm)],[c_0_85,c_0_27]) ).
cnf(c_0_92,hypothesis,
( ~ quotient(idQb,divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),X1)
| less_equal(idQb,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,hypothesis,
( ~ quotient(identity,idQ_idQb,X1)
| less_equal(idQa_Q__idQ_idQb,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_94,hypothesis,
divide(identity,idQ_idQb) = idQb,
inference(spm,[status(thm)],[c_0_88,c_0_59]) ).
cnf(c_0_95,plain,
( ~ quotient(X5,X4,X2)
| ~ quotient(X5,X3,X1)
| ~ quotient(X4,X3,zero)
| less_equal(X1,divide(X2,X3)) ),
inference(spm,[status(thm)],[c_0_89,c_0_27]) ).
cnf(c_0_96,hypothesis,
( ~ quotient(X4,X3,X1)
| ~ quotient(X4,X2,idQb)
| ~ quotient(X3,X2,idQ_idQa)
| less_equal(idQb_Q__idQ_idQa,divide(X1,X2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_27]) ).
cnf(c_0_97,hypothesis,
divide(idQ_idQa,divide(idQb_Q__idQ_idQa,X1)) = idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_91]),c_0_72])]) ).
cnf(c_0_98,hypothesis,
less_equal(idQb,divide(idQb,divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb))),
inference(spm,[status(thm)],[c_0_92,c_0_27]) ).
cnf(c_0_99,hypothesis,
less_equal(idQa_Q__idQ_idQb,idQb),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_27]),c_0_94]) ).
cnf(c_0_100,hypothesis,
( ~ quotient(idQb,X2,X1)
| ~ quotient(X2,idQ_idQa,zero)
| less_equal(idQb_Q__idQ_idQa,divide(X1,idQ_idQa)) ),
inference(spm,[status(thm)],[c_0_95,c_0_43]) ).
cnf(c_0_101,plain,
( ~ less_equal(X2,X3)
| ~ less_equal(X1,X2)
| less_equal(X1,X3) ),
inference(fof_simplification,[status(thm)],[transitivity_of_less_equal]) ).
cnf(c_0_102,hypothesis,
( ~ quotient(idQb,X1,idQb)
| ~ quotient(idQ_idQa,X1,idQ_idQa)
| less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,X1)) ),
inference(spm,[status(thm)],[c_0_96,c_0_43]) ).
cnf(c_0_103,hypothesis,
quotient(idQ_idQa,divide(idQb_Q__idQ_idQa,X1),idQ_idQa),
inference(spm,[status(thm)],[c_0_27,c_0_97]) ).
cnf(c_0_104,hypothesis,
divide(idQb,divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)) = idQb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_98]),c_0_72])]) ).
cnf(c_0_105,hypothesis,
quotient(identity,idQ_idQb,idQb),
inference(spm,[status(thm)],[c_0_27,c_0_94]) ).
cnf(c_0_106,hypothesis,
( ~ quotient(idQa_Q__idQ_idQb,X3,X1)
| ~ quotient(idQb,X3,X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_99]) ).
cnf(c_0_107,plain,
( ~ quotient(X7,X6,X4)
| ~ quotient(X7,X5,X1)
| ~ quotient(X6,X5,X2)
| ~ quotient(X4,X5,X3)
| less_equal(divide(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_27]) ).
cnf(c_0_108,axiom,
quotient(zero,X1,zero),
zero_divide_anything_is_zero ).
cnf(c_0_109,hypothesis,
less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,idQ_idQa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_43]),c_0_41])]) ).
cnf(c_0_110,plain,
( ~ less_equal(X2,X3)
| ~ less_equal(X1,X2)
| less_equal(X1,X3) ),
c_0_101 ).
cnf(c_0_111,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_112,hypothesis,
( ~ quotient(idQb,divide(idQb_Q__idQ_idQa,X1),idQb)
| less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,X1))) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_113,hypothesis,
quotient(idQb,divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),idQb),
inference(spm,[status(thm)],[c_0_27,c_0_104]) ).
cnf(c_0_114,hypothesis,
( ~ quotient(identity,X1,idQ_idQb)
| divide(idQ_idQb,idQb) = idQ_idQb ),
inference(spm,[status(thm)],[c_0_44,c_0_105]) ).
cnf(c_0_115,hypothesis,
( ~ quotient(identity,X1,idQa)
| divide(idQa,idQ_idQa) = idQa ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_116,hypothesis,
less_equal(divide(idQb,idQb_Q__idQ_idQa),idQ_idQa),
inference(spm,[status(thm)],[c_0_56,c_0_43]) ).
cnf(c_0_117,hypothesis,
( ~ quotient(idQa_Q__idQ_idQb,X2,X1)
| less_equal(X1,divide(idQb,X2)) ),
inference(spm,[status(thm)],[c_0_106,c_0_27]) ).
cnf(c_0_118,plain,
( ~ quotient(X3,X5,X1)
| ~ quotient(X4,X5,X2)
| ~ quotient(X3,X4,zero)
| less_equal(divide(X1,X2),zero) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_119,hypothesis,
divide(idQb_Q__idQ_idQa,idQ_idQa) = idQb_Q__idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_109]),c_0_72])]) ).
cnf(c_0_120,plain,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
inference(fof_simplification,[status(thm)],[quotient_less_equal]) ).
cnf(c_0_121,plain,
( ~ less_equal(X1,divide(X3,divide(X3,X2)))
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_122,hypothesis,
less_equal(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb))),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_123,hypothesis,
divide(idQ_idQb,idQb) = idQ_idQb,
inference(spm,[status(thm)],[c_0_114,c_0_52]) ).
cnf(c_0_124,hypothesis,
divide(idQa,idQ_idQa) = idQa,
inference(spm,[status(thm)],[c_0_115,c_0_33]) ).
cnf(c_0_125,hypothesis,
( ~ less_equal(X1,divide(idQb,idQb_Q__idQ_idQa))
| less_equal(X1,idQ_idQa) ),
inference(spm,[status(thm)],[c_0_110,c_0_116]) ).
cnf(c_0_126,hypothesis,
less_equal(divide(idQa_Q__idQ_idQb,X1),divide(idQb,X1)),
inference(spm,[status(thm)],[c_0_117,c_0_27]) ).
cnf(c_0_127,plain,
( ~ quotient(X4,X3,X1)
| ~ quotient(X4,X2,zero)
| less_equal(divide(X1,divide(X2,X3)),zero) ),
inference(spm,[status(thm)],[c_0_118,c_0_27]) ).
cnf(c_0_128,hypothesis,
quotient(idQb_Q__idQ_idQa,idQ_idQa,idQb_Q__idQ_idQa),
inference(spm,[status(thm)],[c_0_27,c_0_119]) ).
cnf(c_0_129,plain,
( ~ less_equal(X1,X2)
| quotient(X1,X2,zero) ),
c_0_120 ).
cnf(c_0_130,hypothesis,
less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_131,plain,
( ~ quotient(X1,X2,X4)
| ~ quotient(X1,X2,X3)
| X3 = X4 ),
inference(fof_simplification,[status(thm)],[well_defined]) ).
cnf(c_0_132,hypothesis,
( ~ quotient(X3,idQa_Q__idQ_idQb,X2)
| ~ quotient(X3,idQb,X1)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_99]) ).
cnf(c_0_133,hypothesis,
quotient(idQ_idQb,idQb,idQ_idQb),
inference(spm,[status(thm)],[c_0_27,c_0_123]) ).
cnf(c_0_134,hypothesis,
( ~ quotient(X3,idQ_idQa,X1)
| ~ quotient(X3,divide(idQb,idQb_Q__idQ_idQa),X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_116]) ).
cnf(c_0_135,hypothesis,
quotient(idQa,idQ_idQa,idQa),
inference(spm,[status(thm)],[c_0_27,c_0_124]) ).
cnf(c_0_136,hypothesis,
less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),idQ_idQa),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_137,hypothesis,
( ~ quotient(idQb_Q__idQ_idQa,X1,zero)
| less_equal(divide(idQb_Q__idQ_idQa,divide(X1,idQ_idQa)),zero) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_138,hypothesis,
quotient(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb,zero),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_139,plain,
( ~ quotient(X1,X2,X4)
| ~ quotient(X1,X2,X3)
| X3 = X4 ),
c_0_131 ).
cnf(c_0_140,hypothesis,
( ~ quotient(idQ_idQb,idQa_Q__idQ_idQb,X1)
| less_equal(idQ_idQb,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_141,hypothesis,
( ~ quotient(idQa,divide(idQb,idQb_Q__idQ_idQa),X1)
| less_equal(idQa,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,hypothesis,
( ~ quotient(X3,idQ_idQa,X1)
| ~ quotient(X3,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),X2)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_136]) ).
cnf(c_0_143,hypothesis,
less_equal(divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)),zero),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_145,plain,
( ~ quotient(X2,zero,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_139,c_0_84]) ).
cnf(c_0_146,hypothesis,
( ~ quotient(idQa_Q__idQ_idQb,idQ_idQa,X1)
| less_equal(X1,idQb_Q__idQ_idQa) ),
inference(spm,[status(thm)],[c_0_106,c_0_43]) ).
cnf(c_0_147,hypothesis,
less_equal(idQ_idQb,divide(idQ_idQb,idQa_Q__idQ_idQb)),
inference(spm,[status(thm)],[c_0_140,c_0_27]) ).
cnf(c_0_148,hypothesis,
less_equal(idQa,divide(idQa,divide(idQb,idQb_Q__idQ_idQa))),
inference(spm,[status(thm)],[c_0_141,c_0_27]) ).
cnf(c_0_149,hypothesis,
( ~ quotient(X1,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),X2)
| less_equal(divide(X1,idQ_idQa),X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_27]) ).
cnf(c_0_150,plain,
( ~ less_equal(X2,divide(X1,divide(X1,X2)))
| divide(X1,divide(X1,X2)) = X2 ),
inference(spm,[status(thm)],[c_0_70,c_0_111]) ).
cnf(c_0_151,hypothesis,
divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_143]),c_0_144])]) ).
cnf(c_0_152,plain,
divide(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_145,c_0_27]) ).
cnf(c_0_153,hypothesis,
less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),
inference(spm,[status(thm)],[c_0_146,c_0_27]) ).
cnf(c_0_154,hypothesis,
divide(idQ_idQb,idQa_Q__idQ_idQb) = idQ_idQb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_147]),c_0_72])]) ).
cnf(c_0_155,hypothesis,
divide(idQa,divide(idQb,idQb_Q__idQ_idQa)) = idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_148]),c_0_72])]) ).
cnf(c_0_156,hypothesis,
less_equal(divide(X1,idQ_idQa),divide(X1,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa))),
inference(spm,[status(thm)],[c_0_149,c_0_27]) ).
cnf(c_0_157,hypothesis,
divide(idQa_Q__idQ_idQb,idQ_idQa) = idQb_Q__idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_152]),c_0_153])]) ).
cnf(c_0_158,hypothesis,
quotient(idQ_idQb,idQa_Q__idQ_idQb,idQ_idQb),
inference(spm,[status(thm)],[c_0_27,c_0_154]) ).
cnf(c_0_159,hypothesis,
( ~ quotient(X3,divide(idQa_Q__idQ_idQb,X4),X2)
| ~ quotient(X3,divide(idQb,X4),X1)
| less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_126]) ).
cnf(c_0_160,hypothesis,
quotient(idQa,divide(idQb,idQb_Q__idQ_idQa),idQa),
inference(spm,[status(thm)],[c_0_27,c_0_155]) ).
cnf(c_0_161,hypothesis,
less_equal(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa))),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_162,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
inference(fof_simplification,[status(thm)],[prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa]) ).
cnf(c_0_163,hypothesis,
( ~ quotient(idQ_idQb,divide(idQa_Q__idQ_idQb,X2),X1)
| less_equal(idQ_idQb,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_158]) ).
cnf(c_0_164,hypothesis,
( ~ quotient(idQa,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),X1)
| less_equal(idQa,X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,hypothesis,
divide(idQa_Q__idQ_idQb,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)) = idQb_Q__idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_161]),c_0_111])]) ).
cnf(c_0_166,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
c_0_162 ).
cnf(c_0_167,hypothesis,
less_equal(idQ_idQb,divide(idQ_idQb,divide(idQa_Q__idQ_idQb,X1))),
inference(spm,[status(thm)],[c_0_163,c_0_27]) ).
cnf(c_0_168,hypothesis,
less_equal(idQa,divide(idQa,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa))),
inference(spm,[status(thm)],[c_0_164,c_0_27]) ).
cnf(c_0_169,hypothesis,
( ~ quotient(X4,X2,X5)
| ~ quotient(X5,X3,X1)
| ~ quotient(X4,X3,idQa)
| ~ quotient(X2,X3,idQ_idQb)
| less_equal(idQa_Q__idQ_idQb,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_57]) ).
cnf(c_0_170,hypothesis,
quotient(idQa_Q__idQ_idQb,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),idQb_Q__idQ_idQa),
inference(spm,[status(thm)],[c_0_27,c_0_165]) ).
cnf(c_0_171,hypothesis,
~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_130]),c_0_166]) ).
cnf(c_0_172,hypothesis,
divide(idQ_idQb,divide(idQa_Q__idQ_idQb,X1)) = idQ_idQb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_167]),c_0_72])]) ).
cnf(c_0_173,hypothesis,
divide(idQa,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)) = idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_168]),c_0_72])]) ).
cnf(c_0_174,hypothesis,
( ~ quotient(X2,X1,idQa_Q__idQ_idQb)
| ~ quotient(X2,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),idQa)
| ~ quotient(X1,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),idQ_idQb) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_175,hypothesis,
quotient(idQ_idQb,divide(idQa_Q__idQ_idQb,X1),idQ_idQb),
inference(spm,[status(thm)],[c_0_27,c_0_172]) ).
cnf(c_0_176,hypothesis,
quotient(idQa,divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),idQa),
inference(spm,[status(thm)],[c_0_27,c_0_173]) ).
cnf(c_0_177,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_57]),c_0_175]),c_0_176])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 20:49:51 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.45 Running first-order theorem proving
% 0.16/0.45 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/benchmark/theBenchmark.p
% 195.68/29.32 % Version: 3.5.1
% 195.68/29.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 195.68/29.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.68/29.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 195.68/29.32 % Starting new_bool_3 with 300s (1) cores
% 195.68/29.32 % Starting new_bool_1 with 300s (1) cores
% 195.68/29.32 % Starting sh5l with 300s (1) cores
% 195.68/29.32 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3912892 completed with status 0
% 195.68/29.32 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 195.68/29.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 195.68/29.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.68/29.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 195.68/29.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 195.68/29.32 % No SInE strategy applied
% 195.68/29.32 % Search class: FHUSM-FFMM22-SFFFFFNN
% 195.68/29.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 195.68/29.32 % Starting SubtermCWHack with 136s (1) cores
% 195.68/29.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 195.68/29.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 195.68/29.32 % Starting new_bool_3 with 136s (1) cores
% 195.68/29.32 % Starting new_bool_1 with 136s (1) cores
% 195.68/29.32 % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 3912898 completed with status 0
% 195.68/29.32 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 195.68/29.32 % Preprocessing class: FSMSSMSMSSSNFFN.
% 195.68/29.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.68/29.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 195.68/29.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 195.68/29.32 % No SInE strategy applied
% 195.68/29.32 % Search class: FHUSM-FFMM22-SFFFFFNN
% 195.68/29.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 195.68/29.32 % Starting SubtermCWHack with 136s (1) cores
% 195.68/29.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 195.68/29.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 195.68/29.32 % Preprocessing time : 0.001 s
% 195.68/29.32 % Presaturation interreduction done
% 195.68/29.32
% 195.68/29.32 % Proof found!
% 195.68/29.32 % SZS status Unsatisfiable
% 195.68/29.32 % SZS output start CNFRefutation
% See solution above
% 195.68/29.32 % Parsed axioms : 26
% 195.68/29.32 % Removed by relevancy pruning/SinE : 0
% 195.68/29.32 % Initial clauses : 26
% 195.68/29.32 % Removed in clause preprocessing : 0
% 195.68/29.32 % Initial clauses in saturation : 26
% 195.68/29.32 % Processed clauses : 202510
% 195.68/29.32 % ...of these trivial : 1828
% 195.68/29.32 % ...subsumed : 181330
% 195.68/29.32 % ...remaining for further processing : 19352
% 195.68/29.32 % Other redundant clauses eliminated : 0
% 195.68/29.32 % Clauses deleted for lack of memory : 0
% 195.68/29.32 % Backward-subsumed : 1392
% 195.68/29.32 % Backward-rewritten : 947
% 195.68/29.32 % Generated clauses : 742030
% 195.68/29.32 % ...of the previous two non-redundant : 420195
% 195.68/29.32 % ...aggressively subsumed : 0
% 195.68/29.32 % Contextual simplify-reflections : 0
% 195.68/29.32 % Paramodulations : 742030
% 195.68/29.32 % Factorizations : 0
% 195.68/29.32 % NegExts : 0
% 195.68/29.32 % Equation resolutions : 0
% 195.68/29.32 % Disequality decompositions : 0
% 195.68/29.32 % Total rewrite steps : 728089
% 195.68/29.32 % ...of those cached : 705509
% 195.68/29.32 % Propositional unsat checks : 0
% 195.68/29.32 % Propositional check models : 0
% 195.68/29.32 % Propositional check unsatisfiable : 0
% 195.68/29.32 % Propositional clauses : 0
% 195.68/29.32 % Propositional clauses after purity: 0
% 195.68/29.32 % Propositional unsat core size : 0
% 195.68/29.32 % Propositional preprocessing time : 0.000
% 195.68/29.32 % Propositional encoding time : 0.000
% 195.68/29.32 % Propositional solver time : 0.000
% 195.68/29.32 % Success case prop preproc time : 0.000
% 195.68/29.32 % Success case prop encoding time : 0.000
% 195.68/29.32 % Success case prop solver time : 0.000
% 195.68/29.32 % Current number of processed clauses : 16987
% 195.68/29.32 % Positive orientable unit clauses : 2447
% 195.68/29.32 % Positive unorientable unit clauses: 0
% 195.68/29.32 % Negative unit clauses : 9
% 195.68/29.32 % Non-unit-clauses : 14531
% 195.68/29.32 % Current number of unprocessed clauses: 214994
% 195.68/29.32 % ...number of literals in the above : 537691
% 195.68/29.32 % Current number of archived formulas : 0
% 195.68/29.32 % Current number of archived clauses : 2365
% 195.68/29.32 % Clause-clause subsumption calls (NU) : 99834078
% 195.68/29.32 % Rec. Clause-clause subsumption calls : 68553719
% 195.68/29.32 % Non-unit clause-clause subsumptions : 182679
% 195.68/29.32 % Unit Clause-clause subsumption calls : 100835
% 195.68/29.32 % Rewrite failures with RHS unbound : 0
% 195.68/29.32 % BW rewrite match attempts : 38719
% 195.68/29.32 % BW rewrite match successes : 281
% 195.68/29.32 % Condensation attempts : 0
% 195.68/29.32 % Condensation successes : 0
% 195.68/29.32 % Termbank termtop insertions : 9681540
% 195.68/29.32 % Search garbage collected termcells : 66
% 195.68/29.32
% 195.68/29.32 % -------------------------------------------------
% 195.68/29.32 % User time : 27.508 s
% 195.68/29.32 % System time : 0.181 s
% 195.68/29.32 % Total time : 27.690 s
% 195.68/29.32 % Maximum resident set size: 3600 pages
% 195.68/29.32
% 195.68/29.32 % -------------------------------------------------
% 195.68/29.32 % User time : 137.070 s
% 195.68/29.32 % System time : 2.300 s
% 195.68/29.32 % Total time : 139.370 s
% 195.68/29.32 % Maximum resident set size: 4864 pages
% 195.68/29.32 % E exiting
%------------------------------------------------------------------------------