TSTP Solution File: HEN009-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HEN009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:54:23 EDT 2023
% Result : Unsatisfiable 1.33s 1.51s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 22
% Syntax : Number of formulae : 113 ( 47 unt; 9 typ; 0 def)
% Number of atoms : 199 ( 32 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 192 ( 97 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 202 ( 35 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
less_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
zero: $i ).
tff(decl_24,type,
quotient: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
identity: $i ).
tff(decl_26,type,
divide: ( $i * $i ) > $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
idQa: $i ).
tff(decl_29,type,
idQ_idQa: $i ).
tff(decl_30,type,
idQ__idQ_idQa: $i ).
cnf(divisor_existence,axiom,
( less_equal(X3,X1)
| ~ quotient(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(closure,axiom,
quotient(X1,X2,divide(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(quotient_property,axiom,
( less_equal(X7,X8)
| ~ quotient(X1,X2,X3)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X4,X6)
| ~ quotient(X6,X5,X7)
| ~ quotient(X3,X4,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(quotient_less_equal,axiom,
( quotient(X1,X2,zero)
| ~ less_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(less_equal_and_equal,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(less_equal_quotient,axiom,
( less_equal(X1,X2)
| ~ quotient(X1,X2,zero) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(identity_is_largest,axiom,
less_equal(X1,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(identity_divide_idQ_idQa,hypothesis,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
cnf(identity_divide_a,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(well_defined,axiom,
( X3 = X4
| ~ quotient(X1,X2,X3)
| ~ quotient(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(prove_one_inversion_equals_three,negated_conjecture,
idQa != idQ__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).
cnf(c_0_13,axiom,
( less_equal(X3,X1)
| ~ quotient(X1,X2,X3) ),
divisor_existence ).
cnf(c_0_14,axiom,
quotient(X1,X2,divide(X1,X2)),
closure ).
cnf(c_0_15,axiom,
( less_equal(X7,X8)
| ~ quotient(X1,X2,X3)
| ~ quotient(X2,X4,X5)
| ~ quotient(X1,X4,X6)
| ~ quotient(X6,X5,X7)
| ~ quotient(X3,X4,X8) ),
quotient_property ).
cnf(c_0_16,axiom,
( quotient(X1,X2,zero)
| ~ less_equal(X1,X2) ),
quotient_less_equal ).
cnf(c_0_17,plain,
less_equal(divide(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( less_equal(divide(X1,X2),X3)
| ~ quotient(X4,X5,X3)
| ~ quotient(X6,X5,X2)
| ~ quotient(X7,X5,X1)
| ~ quotient(X7,X6,X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_19,plain,
quotient(divide(X1,X2),X1,zero),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,divide(X5,X6))
| ~ quotient(X4,X5,X2)
| ~ quotient(X3,X5,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,X2)
| ~ quotient(X4,X4,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_22,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
less_equal_and_equal ).
cnf(c_0_23,axiom,
( less_equal(X1,X2)
| ~ quotient(X1,X2,zero) ),
less_equal_quotient ).
cnf(c_0_24,plain,
( less_equal(divide(X1,zero),zero)
| ~ quotient(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_25,axiom,
less_equal(zero,X1),
zero_is_smallest ).
cnf(c_0_26,plain,
( X1 = X2
| ~ quotient(X2,X1,zero)
| ~ less_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
less_equal(divide(divide(X1,X1),zero),zero),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_28,plain,
quotient(zero,X1,zero),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
cnf(c_0_29,plain,
divide(divide(X1,X1),zero) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ quotient(X2,X1,zero)
| ~ quotient(X1,X2,zero) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_31,plain,
quotient(divide(X1,X1),zero,zero),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_32,plain,
divide(X1,X1) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_28])]) ).
cnf(c_0_33,plain,
quotient(X1,X1,zero),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_34,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,X2)
| ~ quotient(X5,X4,X1)
| ~ quotient(X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_35,plain,
( less_equal(divide(X1,zero),zero)
| ~ quotient(X2,zero,X3)
| ~ quotient(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_36,plain,
( less_equal(divide(X1,zero),zero)
| ~ quotient(X2,divide(X2,zero),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_37,plain,
less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_38,axiom,
less_equal(X1,identity),
identity_is_largest ).
cnf(c_0_39,plain,
divide(divide(X1,divide(X1,zero)),zero) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_37]),c_0_28])]) ).
cnf(c_0_40,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,zero)
| ~ quotient(X4,X5,X2)
| ~ quotient(X3,X5,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_41,plain,
quotient(X1,identity,zero),
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
cnf(c_0_42,plain,
quotient(divide(X1,divide(X1,zero)),zero,zero),
inference(spm,[status(thm)],[c_0_14,c_0_39]) ).
cnf(c_0_43,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(identity,X3,X2)
| ~ quotient(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,hypothesis,
quotient(identity,idQa,idQ_idQa),
identity_divide_idQa ).
cnf(c_0_45,plain,
divide(X1,divide(X1,zero)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_28])]) ).
cnf(c_0_46,hypothesis,
( less_equal(divide(X1,idQ_idQa),zero)
| ~ quotient(X2,idQa,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
( less_equal(divide(X1,X2),divide(X3,X4))
| ~ quotient(X5,X4,X2)
| ~ quotient(X6,X4,X1)
| ~ quotient(X6,X5,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_48,plain,
quotient(X1,divide(X1,zero),zero),
inference(spm,[status(thm)],[c_0_14,c_0_45]) ).
cnf(c_0_49,hypothesis,
less_equal(divide(divide(X1,idQa),idQ_idQa),zero),
inference(spm,[status(thm)],[c_0_46,c_0_14]) ).
cnf(c_0_50,plain,
( less_equal(divide(X1,zero),divide(X2,X3))
| ~ quotient(X4,X3,X1)
| ~ quotient(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_33]) ).
cnf(c_0_51,plain,
divide(X1,zero) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_48]),c_0_19])]) ).
cnf(c_0_52,hypothesis,
divide(divide(X1,idQa),idQ_idQa) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_49]),c_0_28])]) ).
cnf(c_0_53,plain,
( less_equal(X1,divide(X2,X3))
| ~ quotient(X4,X3,X1)
| ~ quotient(X4,X3,X2) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,hypothesis,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
identity_divide_idQ_idQa ).
cnf(c_0_55,hypothesis,
quotient(divide(X1,idQa),idQ_idQa,zero),
inference(spm,[status(thm)],[c_0_14,c_0_52]) ).
cnf(c_0_56,plain,
( divide(X1,X2) = X1
| ~ less_equal(X1,divide(X1,X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_57,hypothesis,
( less_equal(idQ__idQ_idQa,divide(X1,idQ_idQa))
| ~ quotient(identity,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,hypothesis,
( less_equal(divide(X1,idQ__idQ_idQa),zero)
| ~ quotient(X2,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_54]) ).
cnf(c_0_59,hypothesis,
( less_equal(divide(X1,X2),zero)
| ~ quotient(X3,X4,divide(X5,idQa))
| ~ quotient(X4,idQ_idQa,X2)
| ~ quotient(X3,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_55]) ).
cnf(c_0_60,hypothesis,
divide(idQ__idQ_idQa,idQ_idQa) = idQ__idQ_idQa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_54])]) ).
cnf(c_0_61,hypothesis,
quotient(identity,a,idQa),
identity_divide_a ).
cnf(c_0_62,hypothesis,
less_equal(divide(divide(X1,idQ_idQa),idQ__idQ_idQa),zero),
inference(spm,[status(thm)],[c_0_58,c_0_14]) ).
cnf(c_0_63,hypothesis,
( less_equal(divide(X1,X2),zero)
| ~ quotient(idQa,idQ_idQa,X2)
| ~ quotient(X3,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_14]) ).
cnf(c_0_64,hypothesis,
quotient(idQ__idQ_idQa,idQ_idQa,idQ__idQ_idQa),
inference(spm,[status(thm)],[c_0_14,c_0_60]) ).
cnf(c_0_65,hypothesis,
( less_equal(divide(X1,idQa),zero)
| ~ quotient(X2,a,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_66,hypothesis,
divide(divide(X1,idQ_idQa),idQ__idQ_idQa) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_62]),c_0_28])]) ).
cnf(c_0_67,hypothesis,
( less_equal(divide(idQ__idQ_idQa,X1),zero)
| ~ quotient(idQa,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
( less_equal(divide(X1,divide(X2,X3)),divide(X4,X3))
| ~ quotient(X5,X3,X1)
| ~ quotient(X5,X2,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
cnf(c_0_69,hypothesis,
less_equal(divide(divide(X1,a),idQa),zero),
inference(spm,[status(thm)],[c_0_65,c_0_14]) ).
cnf(c_0_70,hypothesis,
quotient(divide(X1,idQ_idQa),idQ__idQ_idQa,zero),
inference(spm,[status(thm)],[c_0_14,c_0_66]) ).
cnf(c_0_71,hypothesis,
( divide(idQ__idQ_idQa,X1) = zero
| ~ quotient(idQa,idQ_idQa,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_67]),c_0_28])]) ).
cnf(c_0_72,hypothesis,
( less_equal(divide(idQ_idQa,divide(X1,idQa)),divide(X2,idQa))
| ~ quotient(identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_44]) ).
cnf(c_0_73,hypothesis,
divide(divide(X1,a),idQa) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_69]),c_0_28])]) ).
cnf(c_0_74,hypothesis,
( divide(X1,idQ_idQa) = idQ__idQ_idQa
| ~ quotient(idQ__idQ_idQa,divide(X1,idQ_idQa),zero) ),
inference(spm,[status(thm)],[c_0_30,c_0_70]) ).
cnf(c_0_75,hypothesis,
( quotient(idQ__idQ_idQa,X1,zero)
| ~ quotient(idQa,idQ_idQa,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_71]) ).
cnf(c_0_76,plain,
( less_equal(divide(X1,zero),divide(X2,X3))
| ~ quotient(X4,divide(X3,X5),X2)
| ~ quotient(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_77,hypothesis,
( less_equal(divide(idQ_idQa,divide(X1,idQa)),zero)
| ~ quotient(identity,X1,divide(X2,a)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,axiom,
( X3 = X4
| ~ quotient(X1,X2,X3)
| ~ quotient(X1,X2,X4) ),
well_defined ).
cnf(c_0_79,plain,
( less_equal(divide(X1,X2),zero)
| ~ quotient(divide(X3,X4),X5,X1)
| ~ quotient(X3,X5,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
cnf(c_0_80,plain,
quotient(X1,zero,X1),
inference(spm,[status(thm)],[c_0_14,c_0_51]) ).
cnf(c_0_81,hypothesis,
( divide(X1,idQ_idQa) = idQ__idQ_idQa
| ~ quotient(idQa,idQ_idQa,divide(X1,idQ_idQa)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( less_equal(X1,divide(X2,X3))
| ~ quotient(X4,divide(X3,X5),X2)
| ~ quotient(X4,X3,X1) ),
inference(rw,[status(thm)],[c_0_76,c_0_51]) ).
cnf(c_0_83,hypothesis,
less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
inference(spm,[status(thm)],[c_0_77,c_0_14]) ).
cnf(c_0_84,plain,
( X1 = zero
| ~ quotient(zero,X2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_28]) ).
cnf(c_0_85,plain,
( less_equal(divide(divide(X1,X2),X3),zero)
| ~ quotient(X1,zero,X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,hypothesis,
divide(idQa,idQ_idQa) = idQ__idQ_idQa,
inference(spm,[status(thm)],[c_0_81,c_0_14]) ).
cnf(c_0_87,plain,
( less_equal(X1,divide(divide(X2,divide(X3,X4)),X3))
| ~ quotient(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_14]) ).
cnf(c_0_88,hypothesis,
divide(idQ_idQa,divide(a,idQa)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_83]),c_0_28])]) ).
cnf(c_0_89,plain,
divide(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_84,c_0_14]) ).
cnf(c_0_90,hypothesis,
( less_equal(divide(idQ__idQ_idQa,X1),zero)
| ~ quotient(idQa,zero,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,hypothesis,
( less_equal(X1,zero)
| ~ quotient(idQ_idQa,a,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_92,hypothesis,
( divide(idQ__idQ_idQa,X1) = zero
| ~ quotient(idQa,zero,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_90]),c_0_28])]) ).
cnf(c_0_93,hypothesis,
( less_equal(divide(idQa,divide(X1,a)),divide(X2,a))
| ~ quotient(identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_61]) ).
cnf(c_0_94,hypothesis,
( X1 = zero
| ~ quotient(idQ_idQa,a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_91]),c_0_28])]) ).
cnf(c_0_95,plain,
( divide(X1,X2) = X1
| ~ quotient(X1,divide(X1,X2),zero) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_96,hypothesis,
( quotient(idQ__idQ_idQa,X1,zero)
| ~ quotient(idQa,zero,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_92]) ).
cnf(c_0_97,hypothesis,
( divide(idQa,divide(X1,a)) = divide(X2,a)
| ~ quotient(divide(X2,a),divide(idQa,divide(X1,a)),zero)
| ~ quotient(identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_93]) ).
cnf(c_0_98,hypothesis,
divide(idQ_idQa,a) = zero,
inference(spm,[status(thm)],[c_0_94,c_0_14]) ).
cnf(c_0_99,hypothesis,
quotient(divide(X1,a),idQa,zero),
inference(spm,[status(thm)],[c_0_14,c_0_73]) ).
cnf(c_0_100,hypothesis,
( divide(idQ__idQ_idQa,X1) = idQ__idQ_idQa
| ~ quotient(idQa,zero,divide(idQ__idQ_idQa,X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,hypothesis,
( divide(X1,a) = idQa
| ~ quotient(identity,idQ_idQa,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_51]),c_0_51]),c_0_99])]) ).
cnf(c_0_102,negated_conjecture,
idQa != idQ__idQ_idQa,
prove_one_inversion_equals_three ).
cnf(c_0_103,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_80]),c_0_54])]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 13:28:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.33/1.51 % Version : CSE_E---1.5
% 1.33/1.51 % Problem : theBenchmark.p
% 1.33/1.51 % Proof found
% 1.33/1.51 % SZS status Theorem for theBenchmark.p
% 1.33/1.51 % SZS output start Proof
% See solution above
% 1.33/1.51 % Total time : 0.919000 s
% 1.33/1.51 % SZS output end Proof
% 1.33/1.51 % Total time : 0.922000 s
%------------------------------------------------------------------------------