%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HEN007-4 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : Tue May 5 04:28:32 PM UTC 2026
% Result : Unsatisfiable 0.29s 1.61s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of clauses : 175 ( 133 unt; 0 nHn; 79 RR)
% Number of literals : 242 ( 100 equ; 103 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 310 ( 75 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(property_of_divide1,axiom,
( less_equal(divide(X1,X3),X2)
| ~ less_equal(divide(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
cnf(transitivity_of_less_equal,axiom,
( less_equal(X1,X3)
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(less_equal_and_equal,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_less_equal2,axiom,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_less_equal1,axiom,
( divide(X1,X2) = zero
| ~ less_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(x_divide_x_is_zero,axiom,
divide(X1,X1) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(identity_is_largest,axiom,
less_equal(X1,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(everything_divide_id_is_zero,axiom,
divide(X1,identity) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everything_divide_id_is_zero) ).
cnf(a_LE_b,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
cnf(x_divide_zero_is_x,axiom,
divide(a,zero) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
cnf(i_0_15,axiom,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
quotient_property,
[final] ).
cnf(i_0_16,axiom,
( less_equal(divide(X1,X3),X2)
| ~ less_equal(divide(X1,X2),X3) ),
property_of_divide1,
[final] ).
cnf(i_0_17,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
prove_c_divide_b_LE_c_divide_a,
[final] ).
cnf(i_0_18,axiom,
( less_equal(X1,X3)
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X3) ),
transitivity_of_less_equal,
[final] ).
cnf(i_0_19,axiom,
( X1 = X2
| ~ less_equal(X1,X2)
| ~ less_equal(X2,X1) ),
less_equal_and_equal,
[final] ).
cnf(i_0_20,axiom,
less_equal(divide(X1,X2),X1),
quotient_smaller_than_numerator,
[final] ).
cnf(i_0_21,axiom,
( less_equal(X1,X2)
| divide(X1,X2) != zero ),
quotient_less_equal2,
[final] ).
cnf(i_0_22,axiom,
( divide(X1,X2) = zero
| ~ less_equal(X1,X2) ),
quotient_less_equal1,
[final] ).
cnf(i_0_23,axiom,
divide(X1,X1) = zero,
x_divide_x_is_zero,
[final] ).
cnf(i_0_24,axiom,
less_equal(zero,X1),
zero_is_smallest,
[final] ).
cnf(i_0_25,axiom,
less_equal(X1,identity),
identity_is_largest,
[final] ).
cnf(i_0_26,axiom,
divide(zero,X1) = zero,
zero_divide_anything_is_zero,
[final] ).
cnf(i_0_27,axiom,
divide(X1,identity) = zero,
everything_divide_id_is_zero,
[final] ).
cnf(i_0_28,hypothesis,
less_equal(a,b),
a_LE_b,
[final] ).
cnf(i_0_29,axiom,
divide(a,zero) = a,
x_divide_zero_is_x,
[final] ).
cnf(i_0_30,axiom,
X1 = X1 ).
cnf(i_0_31,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_32,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_33,axiom,
( X1 != X2
| divide(X1,X3) = divide(X2,X3) ) ).
cnf(i_0_34,axiom,
( X1 != X2
| divide(X3,X1) = divide(X3,X2) ) ).
cnf(i_0_35,axiom,
( X1 != X2
| ~ less_equal(X1,X3)
| less_equal(X2,X3) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| ~ less_equal(X3,X1)
| less_equal(X3,X2) ) ).
cnf(i_0_30_001,axiom,
X1 = X1 ).
cnf(i_0_31_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_32_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_33_004,axiom,
( X1 != X2
| divide(X1,X3) = divide(X2,X3) ) ).
cnf(i_0_34_005,axiom,
( X1 != X2
| divide(X3,X1) = divide(X3,X2) ) ).
cnf(i_0_35_006,axiom,
( X1 != X2
| ~ less_equal(X1,X3)
| less_equal(X2,X3) ) ).
cnf(i_0_36_007,axiom,
( X1 != X2
| ~ less_equal(X3,X1)
| less_equal(X3,X2) ) ).
cnf(i_0_37,plain,
less_equal(divide(X1,identity),X2),
inference(scs_inference,[],[i_0_25,i_0_16]) ).
cnf(i_0_38,plain,
less_equal(X1,identity),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_39,plain,
( ~ less_equal(divide(X1,X2),X3)
| less_equal(divide(X1,X3),X2) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_40,plain,
less_equal(X1,X1),
inference(scs_inference,[],[i_0_25,i_0_23,i_0_16,i_0_21]) ).
cnf(i_0_41,plain,
( divide(X1,X2) != zero
| less_equal(X1,X2) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_42,plain,
zero = divide(X1,X1),
inference(scs_inference,[],[i_0_25,i_0_23,i_0_16,i_0_21,i_0_31]) ).
cnf(i_0_43,plain,
~ less_equal(divide(c,b),zero),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_25,i_0_23,i_0_16,i_0_21,i_0_31,i_0_18]) ).
cnf(i_0_44,plain,
less_equal(zero,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_45,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_46,plain,
zero != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_44,i_0_25,i_0_23,i_0_16,i_0_21,i_0_31,i_0_18,i_0_35]) ).
cnf(i_0_47,plain,
less_equal(zero,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_48,plain,
divide(divide(X1,identity),divide(X2,identity)) = divide(divide(X1,X2),identity),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_44,i_0_25,i_0_23,i_0_15,i_0_16,i_0_21,i_0_31,i_0_18,i_0_35,i_0_19]) ).
cnf(i_0_49,plain,
less_equal(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_50,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_51,plain,
zero = divide(divide(X1,X1),identity),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_44,i_0_25,i_0_23,i_0_15,i_0_16,i_0_21,i_0_31,i_0_18,i_0_35,i_0_19,i_0_32]) ).
cnf(i_0_52,plain,
identity != divide(c,a),
inference(scs_inference,[],[i_0_17,i_0_24,i_0_44,i_0_25,i_0_38,i_0_23,i_0_15,i_0_16,i_0_21,i_0_31,i_0_18,i_0_35,i_0_19,i_0_32,i_0_36]) ).
cnf(i_0_53,plain,
less_equal(X1,identity),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_54,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(scs_inference,[],[i_0_40,i_0_16]) ).
cnf(i_0_55,plain,
less_equal(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_56,plain,
( ~ less_equal(divide(X1,X2),X3)
| less_equal(divide(X1,X3),X2) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_57,plain,
divide(divide(X1,X2),identity) = divide(divide(X1,identity),divide(X2,identity)),
inference(scs_inference,[],[i_0_40,i_0_48,i_0_16,i_0_31]) ).
cnf(i_0_58,plain,
~ less_equal(divide(c,b),divide(X1,identity)),
inference(scs_inference,[],[i_0_17,i_0_37,i_0_40,i_0_48,i_0_16,i_0_31,i_0_18]) ).
cnf(i_0_59,plain,
less_equal(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_60,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_61,plain,
divide(divide(X1,identity),X2) = divide(X1,identity),
inference(scs_inference,[],[i_0_17,i_0_37,i_0_59,i_0_40,i_0_48,i_0_20,i_0_16,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_62,plain,
less_equal(divide(X1,X2),X1),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_63,plain,
less_equal(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_64,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_65,plain,
divide(X1,identity) != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_37,i_0_59,i_0_63,i_0_40,i_0_48,i_0_20,i_0_16,i_0_31,i_0_18,i_0_19,i_0_35]) ).
cnf(i_0_66,plain,
less_equal(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_67,plain,
divide(zero,X1) = divide(X2,X2),
inference(scs_inference,[],[i_0_17,i_0_37,i_0_59,i_0_63,i_0_40,i_0_48,i_0_42,i_0_20,i_0_26,i_0_16,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32]) ).
cnf(i_0_68,plain,
divide(c,b) != divide(c,a),
inference(scs_inference,[],[i_0_17,i_0_37,i_0_59,i_0_63,i_0_40,i_0_55,i_0_48,i_0_42,i_0_20,i_0_26,i_0_16,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36]) ).
cnf(i_0_69,plain,
less_equal(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_70,plain,
identity != b,
inference(scs_inference,[],[i_0_17,i_0_37,i_0_59,i_0_63,i_0_40,i_0_55,i_0_48,i_0_42,i_0_20,i_0_26,i_0_16,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36,i_0_34]) ).
cnf(i_0_71,plain,
less_equal(divide(X1,X1),X2),
inference(scs_inference,[],[i_0_20,i_0_16]) ).
cnf(i_0_72,plain,
( ~ less_equal(divide(X1,X2),X3)
| less_equal(divide(X1,X3),X2) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_73,plain,
b != a,
inference(scs_inference,[],[i_0_68,i_0_20,i_0_16,i_0_34]) ).
cnf(i_0_74,plain,
divide(X1,identity) = divide(divide(X1,identity),X2),
inference(scs_inference,[],[i_0_61,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31]) ).
cnf(i_0_75,plain,
~ less_equal(divide(c,b),divide(X1,divide(X1,divide(c,a)))),
inference(scs_inference,[],[i_0_17,i_0_54,i_0_61,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31,i_0_18]) ).
cnf(i_0_76,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_77,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_78,plain,
divide(X1,divide(X1,divide(X2,identity))) = divide(X2,identity),
inference(scs_inference,[],[i_0_17,i_0_54,i_0_76,i_0_37,i_0_61,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_79,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_80,plain,
less_equal(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_81,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_82,plain,
divide(X1,divide(X1,divide(c,a))) != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_54,i_0_76,i_0_79,i_0_37,i_0_61,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35]) ).
cnf(i_0_83,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_84,plain,
~ less_equal(divide(c,b),divide(divide(X1,identity),X2)),
inference(scs_inference,[],[i_0_17,i_0_54,i_0_76,i_0_79,i_0_37,i_0_58,i_0_61,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_36]) ).
cnf(i_0_85,plain,
~ less_equal(divide(c,b),divide(X1,identity)),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_86,plain,
divide(zero,X1) = divide(X2,identity),
inference(scs_inference,[],[i_0_17,i_0_54,i_0_76,i_0_79,i_0_37,i_0_58,i_0_61,i_0_67,i_0_68,i_0_20,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_36,i_0_32]) ).
cnf(i_0_87,plain,
divide(divide(X1,identity),X2) = divide(X1,identity),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_88,plain,
divide(zero,X1) = divide(X2,X2),
inference(rename_variables,[],[i_0_67]) ).
cnf(i_0_89,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(scs_inference,[],[i_0_15,i_0_16]) ).
cnf(i_0_90,plain,
( ~ less_equal(divide(X1,X2),X3)
| less_equal(divide(X1,X3),X2) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_91,plain,
divide(c,divide(c,a)) != b,
inference(scs_inference,[],[i_0_82,i_0_15,i_0_16,i_0_34]) ).
cnf(i_0_92,plain,
divide(X1,divide(X1,divide(c,a))) != divide(c,b),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_93,plain,
divide(X1,identity) = divide(X2,divide(X2,divide(X1,identity))),
inference(scs_inference,[],[i_0_82,i_0_78,i_0_15,i_0_16,i_0_34,i_0_31]) ).
cnf(i_0_94,plain,
~ less_equal(divide(c,b),divide(X1,X1)),
inference(scs_inference,[],[i_0_17,i_0_71,i_0_82,i_0_78,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18]) ).
cnf(i_0_95,plain,
less_equal(divide(X1,X1),X2),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_96,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_97,plain,
divide(X1,divide(X1,divide(X2,X2))) = divide(X2,X2),
inference(scs_inference,[],[i_0_17,i_0_71,i_0_95,i_0_54,i_0_82,i_0_78,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_98,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_99,plain,
less_equal(divide(X1,X1),X2),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_100,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_101,plain,
divide(X1,X1) != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_71,i_0_95,i_0_99,i_0_54,i_0_82,i_0_78,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35]) ).
cnf(i_0_102,plain,
less_equal(divide(X1,X1),X2),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_103,plain,
divide(X1,identity) = divide(X2,identity),
inference(scs_inference,[],[i_0_17,i_0_71,i_0_95,i_0_99,i_0_54,i_0_82,i_0_78,i_0_74,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32]) ).
cnf(i_0_104,plain,
divide(X1,divide(X1,divide(X2,identity))) = divide(X2,identity),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_105,plain,
divide(X1,identity) = divide(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_106,plain,
~ less_equal(divide(c,b),divide(X1,divide(X1,divide(X2,identity)))),
inference(scs_inference,[],[i_0_17,i_0_71,i_0_95,i_0_99,i_0_54,i_0_82,i_0_58,i_0_78,i_0_104,i_0_74,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36]) ).
cnf(i_0_107,plain,
~ less_equal(divide(c,b),divide(X1,identity)),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_108,plain,
b != c,
inference(scs_inference,[],[i_0_17,i_0_71,i_0_95,i_0_99,i_0_54,i_0_82,i_0_58,i_0_78,i_0_104,i_0_74,i_0_15,i_0_16,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36,i_0_33]) ).
cnf(i_0_109,plain,
c != b,
inference(scs_inference,[],[i_0_101,i_0_34]) ).
cnf(i_0_110,plain,
divide(X1,X1) != divide(c,b),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_111,plain,
divide(X1,X1) = divide(X2,divide(X2,divide(X1,X1))),
inference(scs_inference,[],[i_0_101,i_0_97,i_0_34,i_0_31]) ).
cnf(i_0_112,plain,
~ less_equal(divide(c,b),divide(divide(X1,a),divide(divide(X1,c),a))),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_101,i_0_97,i_0_34,i_0_31,i_0_18]) ).
cnf(i_0_113,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_114,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_115,plain,
divide(divide(X1,X2),divide(divide(X1,X2),X2)) = divide(X2,X2),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_113,i_0_71,i_0_101,i_0_97,i_0_34,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_116,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_117,plain,
less_equal(divide(X1,X1),X2),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_118,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_119,plain,
divide(divide(X1,a),divide(divide(X1,c),a)) != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_113,i_0_116,i_0_71,i_0_101,i_0_97,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35]) ).
cnf(i_0_120,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_121,plain,
divide(zero,X1) = divide(divide(X2,identity),divide(X3,identity)),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_113,i_0_116,i_0_71,i_0_101,i_0_97,i_0_57,i_0_86,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32]) ).
cnf(i_0_122,plain,
divide(zero,X1) = divide(X2,identity),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_123,plain,
~ less_equal(divide(c,b),divide(X1,divide(X1,divide(X2,X2)))),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_113,i_0_116,i_0_71,i_0_94,i_0_101,i_0_97,i_0_57,i_0_86,i_0_34,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36]) ).
cnf(i_0_124,plain,
~ less_equal(divide(c,b),divide(X1,X1)),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_125,plain,
divide(X1,X1) = divide(divide(X2,X1),divide(divide(X2,X1),X1)),
inference(scs_inference,[],[i_0_115,i_0_31]) ).
cnf(i_0_126,plain,
~ less_equal(divide(c,b),divide(divide(c,a),X1)),
inference(scs_inference,[],[i_0_17,i_0_115,i_0_20,i_0_31,i_0_18]) ).
cnf(i_0_127,plain,
less_equal(divide(X1,X2),X1),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_128,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_129,plain,
divide(X1,identity) = divide(divide(X2,identity),divide(divide(X2,X1),identity)),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_37,i_0_115,i_0_20,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_130,plain,
less_equal(divide(X1,identity),X2),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_131,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_132,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_133,plain,
divide(divide(X1,X2),divide(divide(X1,X2),X2)) != divide(c,b),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_131,i_0_37,i_0_94,i_0_115,i_0_20,i_0_31,i_0_18,i_0_19,i_0_35]) ).
cnf(i_0_134,plain,
~ less_equal(divide(c,b),divide(X1,X1)),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_135,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_136,plain,
divide(X1,X1) = divide(divide(X1,X1),divide(X1,X1)),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_131,i_0_37,i_0_94,i_0_115,i_0_111,i_0_20,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32]) ).
cnf(i_0_137,plain,
divide(divide(X1,X2),divide(divide(X1,X2),X2)) = divide(X2,X2),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_138,plain,
divide(X1,X1) = divide(X2,divide(X2,divide(X1,X1))),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_139,plain,
divide(c,b) != divide(divide(X1,a),divide(divide(X1,c),a)),
inference(scs_inference,[],[i_0_17,i_0_89,i_0_131,i_0_37,i_0_112,i_0_40,i_0_94,i_0_115,i_0_111,i_0_20,i_0_31,i_0_18,i_0_19,i_0_35,i_0_32,i_0_36]) ).
cnf(i_0_140,plain,
less_equal(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_141,plain,
divide(divide(X1,X1),divide(X1,X1)) = divide(X1,X1),
inference(scs_inference,[],[i_0_136,i_0_31]) ).
cnf(i_0_142,plain,
divide(divide(X1,X1),X2) = divide(X1,X1),
inference(scs_inference,[],[i_0_71,i_0_136,i_0_20,i_0_31,i_0_19]) ).
cnf(i_0_143,plain,
less_equal(divide(X1,X2),X1),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_144,plain,
less_equal(divide(X1,X1),X2),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_145,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_146,plain,
divide(X1,identity) = divide(X2,divide(X2,divide(X3,identity))),
inference(scs_inference,[],[i_0_71,i_0_136,i_0_93,i_0_103,i_0_20,i_0_31,i_0_19,i_0_32]) ).
cnf(i_0_147,plain,
divide(X1,identity) = divide(X2,divide(X2,divide(X1,identity))),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_148,plain,
divide(divide(X1,identity),divide(divide(X1,X2),identity)) != divide(c,b),
inference(scs_inference,[],[i_0_89,i_0_71,i_0_58,i_0_136,i_0_93,i_0_103,i_0_20,i_0_31,i_0_19,i_0_32,i_0_35]) ).
cnf(i_0_149,plain,
~ less_equal(divide(c,b),divide(X1,identity)),
inference(rename_variables,[],[i_0_58]) ).
cnf(i_0_150,plain,
less_equal(divide(divide(X1,X2),divide(divide(X1,X3),X2)),divide(X3,X2)),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_151,plain,
divide(X1,X1) = divide(divide(X1,X1),X2),
inference(scs_inference,[],[i_0_142,i_0_31]) ).
cnf(i_0_152,plain,
less_equal(divide(X1,divide(X1,a)),b),
inference(scs_inference,[],[i_0_54,i_0_142,i_0_28,i_0_31,i_0_18]) ).
cnf(i_0_153,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_154,plain,
( ~ less_equal(X1,X2)
| less_equal(X3,X2)
| ~ less_equal(X3,X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_155,plain,
zero = divide(X1,divide(X1,zero)),
inference(scs_inference,[],[i_0_54,i_0_153,i_0_142,i_0_28,i_0_24,i_0_31,i_0_18,i_0_19]) ).
cnf(i_0_156,plain,
less_equal(zero,X1),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_157,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_158,plain,
( ~ less_equal(X1,X2)
| ~ less_equal(X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_159,plain,
~ less_equal(divide(c,b),divide(divide(divide(c,a),divide(c,a)),X1)),
inference(scs_inference,[],[i_0_54,i_0_153,i_0_126,i_0_142,i_0_28,i_0_24,i_0_31,i_0_18,i_0_19,i_0_36]) ).
cnf(i_0_160,plain,
~ less_equal(divide(c,b),divide(divide(c,a),X1)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_161,plain,
divide(divide(X1,X1),X2) = divide(X1,X1),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_162,plain,
divide(divide(zero,zero),X1) = divide(divide(X2,identity),divide(X3,identity)),
inference(scs_inference,[],[i_0_54,i_0_153,i_0_126,i_0_142,i_0_161,i_0_121,i_0_28,i_0_24,i_0_31,i_0_18,i_0_19,i_0_36,i_0_32]) ).
cnf(i_0_163,plain,
divide(zero,X1) = divide(divide(X2,identity),divide(X3,identity)),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_164,plain,
divide(divide(X1,X1),X2) = divide(X1,X1),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_165,plain,
divide(X1,divide(X1,zero)) != divide(c,b),
inference(scs_inference,[],[i_0_54,i_0_153,i_0_157,i_0_43,i_0_126,i_0_142,i_0_161,i_0_121,i_0_28,i_0_24,i_0_31,i_0_18,i_0_19,i_0_36,i_0_32,i_0_35]) ).
cnf(i_0_166,plain,
less_equal(divide(X1,divide(X1,X2)),X2),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_167,plain,
$false,
inference(scs_inference,[],[i_0_17,i_0_54,i_0_153,i_0_157,i_0_43,i_0_126,i_0_142,i_0_161,i_0_121,i_0_28,i_0_24,i_0_31,i_0_18,i_0_19,i_0_36,i_0_32,i_0_35,i_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN007-4 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n010.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 19:08:51 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.29/1.61 % Version : CSE_E---1.7
% 0.29/1.61 % Problem : theBenchmark.p
% 0.29/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.29/1.61 % SZS output start CNFRefutation
% See solution above
% 0.49/1.83 % Total time : 1.272s
%------------------------------------------------------------------------------