%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : FLD067-1 : TPTP v9.2.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 04:18:28 PM UTC 2026
% Result : Unsatisfiable 49.47s 25.61s
% Output : CNFRefutation 50.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of clauses : 282 ( 99 unt; 18 nHn; 282 RR)
% Number of literals : 616 ( 0 equ; 339 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 356 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity,axiom,
( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X1,X3),X2))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',distributivity) ).
cnf(associativity_multiplication,axiom,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).
cnf(associativity_addition,axiom,
( equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',associativity_addition) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ less_or_equal(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(compatibility_of_equality_and_multiplication,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(compatibility_of_equality_and_addition,axiom,
( equalish(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(commutativity_multiplication,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
cnf(commutativity_addition,axiom,
( equalish(add(X1,X2),add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(compatibility_of_order_relation_and_multiplication,axiom,
( less_or_equal(additive_identity,multiply(X1,X2))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(not_less_or_equal_4,negated_conjecture,
~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
cnf(transitivity_of_order_relation,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(compatibility_of_equality_and_order_relation,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(antisymmetry_of_order_relation,axiom,
( equalish(X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(transitivity_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(existence_of_inverse_addition,axiom,
( equalish(add(X1,additive_inverse(X1)),additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_multiplication,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).
cnf(well_definedness_of_addition,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_addition) ).
cnf(existence_of_identity_multiplication,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(existence_of_identity_addition,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(totality_of_order_relation,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(reflexivity_of_equality,axiom,
( equalish(X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',reflexivity_of_equality) ).
cnf(different_identities,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',different_identities) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(i_0_31,axiom,
( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X1,X3),X2))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
distributivity,
[final] ).
cnf(i_0_32,axiom,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
associativity_multiplication,
[final] ).
cnf(i_0_33,axiom,
( equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
associativity_addition,
[final] ).
cnf(i_0_34,axiom,
( less_or_equal(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ less_or_equal(X1,X3) ),
compatibility_of_order_relation_and_addition,
[final] ).
cnf(i_0_35,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_multiplication,
[final] ).
cnf(i_0_36,axiom,
( equalish(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_addition,
[final] ).
cnf(i_0_37,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_multiplication,
[final] ).
cnf(i_0_38,axiom,
( equalish(add(X1,X2),add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_addition,
[final] ).
cnf(i_0_39,axiom,
( less_or_equal(additive_identity,multiply(X1,X2))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2) ),
compatibility_of_order_relation_and_multiplication,
[final] ).
cnf(i_0_40,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication,
[final] ).
cnf(i_0_41,negated_conjecture,
~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
not_less_or_equal_4,
[final] ).
cnf(i_0_42,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
transitivity_of_order_relation,
[final] ).
cnf(i_0_43,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
compatibility_of_equality_and_order_relation,
[final] ).
cnf(i_0_44,axiom,
( equalish(X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
antisymmetry_of_order_relation,
[final] ).
cnf(i_0_45,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
transitivity_of_equality,
[final] ).
cnf(i_0_46,axiom,
( equalish(add(X1,additive_inverse(X1)),additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition,
[final] ).
cnf(i_0_47,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_multiplication,
[final] ).
cnf(i_0_48,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_addition,
[final] ).
cnf(i_0_49,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_multiplication,
[final] ).
cnf(i_0_50,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_addition,
[final] ).
cnf(i_0_51,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_order_relation,
[final] ).
cnf(i_0_52,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality,
[final] ).
cnf(i_0_53,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse,
[final] ).
cnf(i_0_54,axiom,
( equalish(X1,X1)
| ~ defined(X1) ),
reflexivity_of_equality,
[final] ).
cnf(i_0_55,axiom,
~ equalish(additive_identity,multiplicative_identity),
different_identities,
[final] ).
cnf(i_0_56,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse,
[final] ).
cnf(i_0_57,negated_conjecture,
less_or_equal(a,b),
less_or_equal_3,
[final] ).
cnf(i_0_58,hypothesis,
defined(b),
b_is_defined,
[final] ).
cnf(i_0_59,hypothesis,
defined(a),
a_is_defined,
[final] ).
cnf(i_0_60,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity,
[final] ).
cnf(i_0_61,axiom,
defined(additive_identity),
well_definedness_of_additive_identity,
[final] ).
cnf(i_0_62,plain,
equalish(b,b),
inference(scs_inference,[],[i_0_58,i_0_54]) ).
cnf(i_0_63,plain,
( ~ defined(X1)
| equalish(X1,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_64,plain,
( less_or_equal(X1,b)
| ~ less_or_equal(X1,a) ),
inference(scs_inference,[],[i_0_57,i_0_58,i_0_54,i_0_42]) ).
cnf(i_0_65,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ less_or_equal(X3,X1) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_66,plain,
( ~ less_or_equal(b,a)
| equalish(a,b) ),
inference(scs_inference,[],[i_0_57,i_0_58,i_0_54,i_0_42,i_0_44]) ).
cnf(i_0_67,plain,
( ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1)
| equalish(X1,X2) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_68,plain,
( ~ defined(add(b,additive_inverse(a)))
| less_or_equal(add(b,additive_inverse(a)),additive_identity) ),
inference(scs_inference,[],[i_0_41,i_0_57,i_0_58,i_0_61,i_0_54,i_0_42,i_0_44,i_0_51]) ).
cnf(i_0_69,plain,
( less_or_equal(X1,X2)
| ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_70,plain,
equalish(a,a),
inference(scs_inference,[],[i_0_59,i_0_54]) ).
cnf(i_0_71,plain,
( ~ defined(X1)
| equalish(X1,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_72,plain,
( less_or_equal(b,X1)
| ~ less_or_equal(b,X1) ),
inference(scs_inference,[],[i_0_62,i_0_59,i_0_54,i_0_43]) ).
cnf(i_0_73,plain,
( ~ equalish(X1,X2)
| less_or_equal(X2,X3)
| ~ less_or_equal(X1,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_74,plain,
( equalish(b,a)
| ~ less_or_equal(b,a) ),
inference(scs_inference,[],[i_0_57,i_0_62,i_0_59,i_0_54,i_0_43,i_0_44]) ).
cnf(i_0_75,plain,
( ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1)
| equalish(X1,X2) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_76,plain,
( less_or_equal(a,a)
| ~ less_or_equal(b,a) ),
inference(scs_inference,[],[i_0_57,i_0_62,i_0_59,i_0_54,i_0_43,i_0_44,i_0_42]) ).
cnf(i_0_77,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ less_or_equal(X3,X1) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_79,plain,
equalish(multiplicative_identity,multiplicative_identity),
inference(scs_inference,[],[i_0_60,i_0_54]) ).
cnf(i_0_80,plain,
( ~ defined(X1)
| equalish(X1,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_81,plain,
( less_or_equal(multiplicative_identity,X1)
| ~ less_or_equal(multiplicative_identity,X1) ),
inference(scs_inference,[],[i_0_60,i_0_54,i_0_43]) ).
cnf(i_0_82,plain,
( ~ equalish(X1,X2)
| less_or_equal(X2,X3)
| ~ less_or_equal(X1,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_83,plain,
( ~ less_or_equal(additive_identity,multiplicative_identity)
| ~ less_or_equal(multiplicative_identity,add(b,additive_inverse(a))) ),
inference(scs_inference,[],[i_0_41,i_0_60,i_0_54,i_0_43,i_0_42]) ).
cnf(i_0_84,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ less_or_equal(X3,X1) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_85,plain,
( less_or_equal(multiplicative_identity,additive_identity)
| ~ less_or_equal(multiplicative_identity,add(b,additive_inverse(a))) ),
inference(scs_inference,[],[i_0_41,i_0_60,i_0_61,i_0_54,i_0_43,i_0_42,i_0_51]) ).
cnf(i_0_86,plain,
( less_or_equal(X1,X2)
| ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_88,plain,
equalish(additive_identity,additive_identity),
inference(scs_inference,[],[i_0_61,i_0_54]) ).
cnf(i_0_89,plain,
( ~ defined(X1)
| equalish(X1,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_90,plain,
~ equalish(multiplicative_identity,additive_identity),
inference(scs_inference,[],[i_0_55,i_0_52]) ).
cnf(i_0_91,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_92,plain,
defined(additive_inverse(b)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56]) ).
cnf(i_0_93,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_94,plain,
equalish(multiply(multiplicative_identity,b),b),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56,i_0_49]) ).
cnf(i_0_95,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_96,plain,
equalish(add(additive_identity,b),b),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56,i_0_49,i_0_50]) ).
cnf(i_0_97,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_98,plain,
equalish(add(b,additive_inverse(b)),additive_identity),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46]) ).
cnf(i_0_99,plain,
( ~ defined(X1)
| equalish(add(X1,additive_inverse(X1)),additive_identity) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_100,plain,
defined(multiply(b,b)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47]) ).
cnf(i_0_101,plain,
( ~ defined(X1)
| ~ defined(X2)
| defined(multiply(X1,X2)) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_102,plain,
defined(add(b,b)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48]) ).
cnf(i_0_103,plain,
( ~ defined(X1)
| ~ defined(X2)
| defined(add(X1,X2)) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_104,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53]) ).
cnf(i_0_105,plain,
( equalish(X1,additive_identity)
| ~ defined(X1)
| defined(multiplicative_inverse(X1)) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_106,plain,
equalish(multiply(b,b),multiply(b,b)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37]) ).
cnf(i_0_107,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_108,plain,
equalish(add(b,b),add(b,b)),
inference(scs_inference,[],[i_0_55,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38]) ).
cnf(i_0_109,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(X1,X2),add(X2,X1)) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_110,plain,
less_or_equal(add(a,b),add(b,b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34]) ).
cnf(i_0_111,plain,
( ~ defined(X1)
| ~ less_or_equal(X2,X3)
| less_or_equal(add(X2,X1),add(X3,X1)) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_112,plain,
equalish(multiply(additive_identity,b),multiply(additive_identity,b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35]) ).
cnf(i_0_113,plain,
( ~ defined(X1)
| ~ equalish(X2,X3)
| equalish(multiply(X2,X1),multiply(X3,X1)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_114,plain,
equalish(add(additive_identity,b),add(additive_identity,b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36]) ).
cnf(i_0_115,plain,
( ~ defined(X1)
| ~ equalish(X2,X3)
| equalish(add(X2,X1),add(X3,X1)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_116,plain,
equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40]) ).
cnf(i_0_117,plain,
( equalish(X1,additive_identity)
| ~ defined(X1)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_118,plain,
equalish(multiply(b,multiply(b,b)),multiply(multiply(b,b),b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32]) ).
cnf(i_0_119,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_120,plain,
equalish(add(b,add(b,b)),add(add(b,b),b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32,i_0_33]) ).
cnf(i_0_121,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3)) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_122,plain,
equalish(add(multiply(b,b),multiply(b,b)),multiply(add(b,b),b)),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32,i_0_33,i_0_31]) ).
cnf(i_0_123,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(add(multiply(X1,X3),multiply(X2,X3)),multiply(add(X1,X2),X3)) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_124,plain,
less_or_equal(b,b),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32,i_0_33,i_0_31,i_0_51]) ).
cnf(i_0_125,plain,
( ~ defined(X1)
| ~ defined(X2)
| less_or_equal(X1,X2)
| less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_126,plain,
( ~ equalish(multiply(multiply(b,b),b),X1)
| equalish(multiply(b,multiply(b,b)),X1) ),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32,i_0_33,i_0_31,i_0_51,i_0_45]) ).
cnf(i_0_127,plain,
( ~ equalish(X1,X2)
| equalish(X1,X3)
| ~ equalish(X2,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_128,plain,
( ~ less_or_equal(X1,add(b,additive_inverse(a)))
| ~ less_or_equal(additive_identity,X1) ),
inference(scs_inference,[],[i_0_57,i_0_55,i_0_88,i_0_58,i_0_60,i_0_41,i_0_52,i_0_56,i_0_49,i_0_50,i_0_46,i_0_47,i_0_48,i_0_53,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_40,i_0_32,i_0_33,i_0_31,i_0_51,i_0_45,i_0_42]) ).
cnf(i_0_129,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_130,plain,
equalish(b,multiply(multiplicative_identity,b)),
inference(scs_inference,[],[i_0_94,i_0_52]) ).
cnf(i_0_131,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_132,plain,
defined(multiply(additive_inverse(b),additive_inverse(b))),
inference(scs_inference,[],[i_0_94,i_0_92,i_0_52,i_0_47]) ).
cnf(i_0_133,plain,
( ~ defined(X1)
| defined(multiply(X2,X1))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_134,plain,
defined(add(additive_inverse(b),additive_inverse(b))),
inference(scs_inference,[],[i_0_94,i_0_92,i_0_52,i_0_47,i_0_48]) ).
cnf(i_0_135,plain,
( ~ defined(X1)
| defined(add(X2,X1))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_136,plain,
equalish(multiply(additive_inverse(b),additive_inverse(b)),multiply(additive_inverse(b),additive_inverse(b))),
inference(scs_inference,[],[i_0_94,i_0_92,i_0_52,i_0_47,i_0_48,i_0_37]) ).
cnf(i_0_137,plain,
( ~ defined(X1)
| equalish(multiply(X2,X1),multiply(X1,X2))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_138,plain,
equalish(add(additive_inverse(b),additive_inverse(b)),add(additive_inverse(b),additive_inverse(b))),
inference(scs_inference,[],[i_0_94,i_0_92,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38]) ).
cnf(i_0_139,plain,
( ~ defined(X1)
| equalish(add(X2,X1),add(X1,X2))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_140,plain,
less_or_equal(add(a,additive_inverse(b)),add(b,additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_94,i_0_92,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34]) ).
cnf(i_0_141,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(add(X1,X3),add(X2,X3))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_142,plain,
equalish(multiply(multiply(b,b),additive_inverse(b)),multiply(multiply(b,b),additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_106,i_0_94,i_0_92,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35]) ).
cnf(i_0_143,plain,
( ~ equalish(X1,X2)
| equalish(multiply(X1,X3),multiply(X2,X3))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_144,plain,
equalish(add(multiply(b,b),additive_inverse(b)),add(multiply(b,b),additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_106,i_0_94,i_0_92,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36]) ).
cnf(i_0_145,plain,
( ~ equalish(X1,X2)
| equalish(add(X1,X3),add(X2,X3))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_146,plain,
~ equalish(multiplicative_identity,add(b,additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45]) ).
cnf(i_0_147,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_148,plain,
equalish(multiply(additive_inverse(b),multiply(additive_inverse(b),additive_inverse(b))),multiply(multiply(additive_inverse(b),additive_inverse(b)),additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32]) ).
cnf(i_0_149,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X3,multiply(X1,X2)),multiply(multiply(X3,X1),X2))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_150,plain,
equalish(add(additive_inverse(b),add(additive_inverse(b),additive_inverse(b))),add(add(additive_inverse(b),additive_inverse(b)),additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32,i_0_33]) ).
cnf(i_0_151,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(X3,add(X1,X2)),add(add(X3,X1),X2))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_152,plain,
equalish(add(multiply(a,a),multiply(a,a)),multiply(add(a,a),a)),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_59,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32,i_0_33,i_0_31]) ).
cnf(i_0_153,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(multiply(X3,X2),multiply(X1,X2)),multiply(add(X3,X1),X2))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_154,plain,
( equalish(additive_inverse(b),additive_identity)
| defined(multiplicative_inverse(additive_inverse(b))) ),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_59,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32,i_0_33,i_0_31,i_0_53]) ).
cnf(i_0_155,plain,
( ~ defined(X1)
| defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_156,plain,
~ less_or_equal(add(b,additive_inverse(b)),add(b,additive_inverse(a))),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_59,i_0_41,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32,i_0_33,i_0_31,i_0_53,i_0_43]) ).
cnf(i_0_157,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_158,plain,
( equalish(additive_inverse(b),additive_identity)
| equalish(multiply(additive_inverse(b),multiplicative_inverse(additive_inverse(b))),multiplicative_identity) ),
inference(scs_inference,[],[i_0_57,i_0_90,i_0_106,i_0_94,i_0_92,i_0_98,i_0_59,i_0_41,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_32,i_0_33,i_0_31,i_0_53,i_0_43,i_0_40]) ).
cnf(i_0_159,plain,
( ~ defined(X1)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_160,plain,
defined(additive_inverse(multiply(b,b))),
inference(scs_inference,[],[i_0_100,i_0_56]) ).
cnf(i_0_161,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_162,plain,
equalish(multiply(multiplicative_identity,multiply(b,b)),multiply(b,b)),
inference(scs_inference,[],[i_0_100,i_0_56,i_0_49]) ).
cnf(i_0_163,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_164,plain,
equalish(add(additive_identity,multiply(b,b)),multiply(b,b)),
inference(scs_inference,[],[i_0_100,i_0_56,i_0_49,i_0_50]) ).
cnf(i_0_165,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_166,plain,
equalish(add(multiply(b,b),additive_inverse(multiply(b,b))),additive_identity),
inference(scs_inference,[],[i_0_100,i_0_56,i_0_49,i_0_50,i_0_46]) ).
cnf(i_0_167,plain,
( ~ defined(X1)
| equalish(add(X1,additive_inverse(X1)),additive_identity) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_168,plain,
~ equalish(add(b,additive_inverse(b)),multiplicative_identity),
inference(scs_inference,[],[i_0_100,i_0_146,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52]) ).
cnf(i_0_169,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_170,plain,
equalish(add(additive_identity,b),multiply(multiplicative_identity,b)),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45]) ).
cnf(i_0_171,plain,
( ~ equalish(X1,X2)
| ~ equalish(X3,X1)
| equalish(X3,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_172,plain,
less_or_equal(multiply(multiplicative_identity,b),b),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43]) ).
cnf(i_0_173,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ equalish(X1,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_174,plain,
equalish(multiply(multiply(b,b),multiply(multiply(b,b),multiply(b,b))),multiply(multiply(multiply(b,b),multiply(b,b)),multiply(b,b))),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43,i_0_32]) ).
cnf(i_0_175,plain,
( ~ defined(X1)
| equalish(multiply(X2,multiply(X3,X1)),multiply(multiply(X2,X3),X1))
| ~ defined(X3)
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_176,plain,
equalish(add(multiply(b,b),add(multiply(b,b),multiply(b,b))),add(add(multiply(b,b),multiply(b,b)),multiply(b,b))),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43,i_0_32,i_0_33]) ).
cnf(i_0_177,plain,
( ~ defined(X1)
| equalish(add(X2,add(X3,X1)),add(add(X2,X3),X1))
| ~ defined(X3)
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_178,plain,
equalish(add(multiply(multiplicative_identity,multiplicative_identity),multiply(multiplicative_identity,multiplicative_identity)),multiply(add(multiplicative_identity,multiplicative_identity),multiplicative_identity)),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_60,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43,i_0_32,i_0_33,i_0_31]) ).
cnf(i_0_179,plain,
( ~ defined(X1)
| equalish(add(multiply(X2,X1),multiply(X3,X1)),multiply(add(X2,X3),X1))
| ~ defined(X3)
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_180,plain,
( ~ less_or_equal(add(b,additive_inverse(b)),multiplicative_identity)
| ~ less_or_equal(multiplicative_identity,add(b,additive_inverse(b))) ),
inference(scs_inference,[],[i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_60,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43,i_0_32,i_0_33,i_0_31,i_0_44]) ).
cnf(i_0_181,plain,
( equalish(X1,X2)
| ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_182,plain,
( ~ less_or_equal(add(b,b),X1)
| less_or_equal(add(a,b),X1) ),
inference(scs_inference,[],[i_0_110,i_0_96,i_0_100,i_0_130,i_0_146,i_0_124,i_0_60,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_45,i_0_43,i_0_32,i_0_33,i_0_31,i_0_44,i_0_42]) ).
cnf(i_0_183,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X1,X3)
| ~ less_or_equal(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_184,plain,
equalish(multiply(multiplicative_identity,b),add(additive_identity,b)),
inference(scs_inference,[],[i_0_170,i_0_52]) ).
cnf(i_0_185,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_186,plain,
defined(multiply(add(b,b),add(b,b))),
inference(scs_inference,[],[i_0_170,i_0_102,i_0_52,i_0_47]) ).
cnf(i_0_187,plain,
( ~ defined(X1)
| ~ defined(X2)
| defined(multiply(X2,X1)) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_188,plain,
defined(add(add(b,b),add(b,b))),
inference(scs_inference,[],[i_0_170,i_0_102,i_0_52,i_0_47,i_0_48]) ).
cnf(i_0_189,plain,
( ~ defined(X1)
| ~ defined(X2)
| defined(add(X2,X1)) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_190,plain,
equalish(multiply(add(b,b),add(b,b)),multiply(add(b,b),add(b,b))),
inference(scs_inference,[],[i_0_170,i_0_102,i_0_52,i_0_47,i_0_48,i_0_37]) ).
cnf(i_0_191,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X2,X1),multiply(X1,X2)) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_192,plain,
equalish(add(add(b,b),add(b,b)),add(add(b,b),add(b,b))),
inference(scs_inference,[],[i_0_170,i_0_102,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38]) ).
cnf(i_0_193,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(X2,X1),add(X1,X2)) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_194,plain,
less_or_equal(add(a,add(b,b)),add(b,add(b,b))),
inference(scs_inference,[],[i_0_57,i_0_170,i_0_102,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34]) ).
cnf(i_0_195,plain,
( ~ less_or_equal(X1,X2)
| ~ defined(X3)
| less_or_equal(add(X1,X3),add(X2,X3)) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_196,plain,
equalish(multiply(add(additive_identity,b),add(b,b)),multiply(add(additive_identity,b),add(b,b))),
inference(scs_inference,[],[i_0_57,i_0_114,i_0_170,i_0_102,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35]) ).
cnf(i_0_197,plain,
( ~ equalish(X1,X2)
| ~ defined(X3)
| equalish(multiply(X1,X3),multiply(X2,X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_198,plain,
equalish(add(add(additive_identity,b),add(b,b)),add(add(additive_identity,b),add(b,b))),
inference(scs_inference,[],[i_0_57,i_0_114,i_0_170,i_0_102,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36]) ).
cnf(i_0_199,plain,
( ~ equalish(X1,X2)
| ~ defined(X3)
| equalish(add(X1,X3),add(X2,X3)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_200,plain,
~ less_or_equal(add(multiply(b,b),additive_inverse(multiply(b,b))),add(b,additive_inverse(a))),
inference(scs_inference,[],[i_0_57,i_0_114,i_0_170,i_0_102,i_0_166,i_0_41,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_43]) ).
cnf(i_0_201,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_202,plain,
( ~ less_or_equal(add(b,additive_inverse(b)),add(a,additive_inverse(b)))
| equalish(add(b,additive_inverse(b)),add(a,additive_inverse(b))) ),
inference(scs_inference,[],[i_0_57,i_0_114,i_0_170,i_0_102,i_0_140,i_0_166,i_0_41,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_43,i_0_44]) ).
cnf(i_0_203,plain,
( ~ less_or_equal(X1,X2)
| equalish(X2,X1)
| ~ less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_204,plain,
( ~ equalish(multiply(add(b,b),b),X1)
| equalish(add(multiply(b,b),multiply(b,b)),X1) ),
inference(scs_inference,[],[i_0_57,i_0_114,i_0_170,i_0_102,i_0_122,i_0_140,i_0_166,i_0_41,i_0_52,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_43,i_0_44,i_0_45]) ).
cnf(i_0_205,plain,
( ~ equalish(X1,X2)
| equalish(X1,X3)
| ~ equalish(X2,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_206,plain,
defined(multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_104,i_0_47]) ).
cnf(i_0_207,plain,
( ~ defined(X1)
| defined(multiply(X1,X2))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_208,plain,
defined(add(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_104,i_0_47,i_0_48]) ).
cnf(i_0_209,plain,
( ~ defined(X1)
| defined(add(X1,X2))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_210,plain,
equalish(multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_104,i_0_47,i_0_48,i_0_37]) ).
cnf(i_0_211,plain,
( ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_212,plain,
equalish(add(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),add(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_104,i_0_47,i_0_48,i_0_37,i_0_38]) ).
cnf(i_0_213,plain,
( ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1))
| ~ defined(X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_214,plain,
less_or_equal(add(a,multiplicative_inverse(multiplicative_identity)),add(b,multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_104,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34]) ).
cnf(i_0_215,plain,
( ~ defined(X1)
| less_or_equal(add(X2,X1),add(X3,X1))
| ~ less_or_equal(X2,X3) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_216,plain,
equalish(multiply(multiply(multiplicative_identity,b),multiplicative_inverse(multiplicative_identity)),multiply(add(additive_identity,b),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35]) ).
cnf(i_0_217,plain,
( ~ defined(X1)
| equalish(multiply(X2,X1),multiply(X3,X1))
| ~ equalish(X2,X3) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_218,plain,
equalish(add(multiply(multiplicative_identity,b),multiplicative_inverse(multiplicative_identity)),add(add(additive_identity,b),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36]) ).
cnf(i_0_219,plain,
( ~ defined(X1)
| equalish(add(X2,X1),add(X3,X1))
| ~ equalish(X2,X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_220,plain,
~ equalish(add(b,additive_inverse(b)),multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_116,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45]) ).
cnf(i_0_221,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_222,plain,
less_or_equal(add(additive_identity,b),b),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43]) ).
cnf(i_0_223,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ equalish(X1,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_224,plain,
~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),add(b,additive_inverse(b))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52]) ).
cnf(i_0_225,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_226,plain,
( ~ less_or_equal(multiplicative_identity,additive_identity)
| ~ less_or_equal(additive_identity,multiplicative_identity) ),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44]) ).
cnf(i_0_227,plain,
( equalish(X1,X2)
| ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_228,plain,
equalish(multiply(multiplicative_inverse(multiplicative_identity),multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),multiply(multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32]) ).
cnf(i_0_229,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(multiply(X3,multiply(X2,X1)),multiply(multiply(X3,X2),X1)) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_230,plain,
equalish(add(multiplicative_inverse(multiplicative_identity),add(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity))),add(add(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32,i_0_33]) ).
cnf(i_0_231,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(add(X3,add(X2,X1)),add(add(X3,X2),X1)) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_232,plain,
equalish(add(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),multiply(add(additive_identity,additive_identity),additive_identity)),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_61,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32,i_0_33,i_0_31]) ).
cnf(i_0_233,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(add(multiply(X3,X1),multiply(X2,X1)),multiply(add(X3,X2),X1)) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_234,plain,
( less_or_equal(additive_identity,multiplicative_identity)
| ~ less_or_equal(additive_identity,multiplicative_identity) ),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_61,i_0_60,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32,i_0_33,i_0_31,i_0_51]) ).
cnf(i_0_235,plain,
( less_or_equal(X1,X2)
| ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_236,plain,
( ~ less_or_equal(additive_identity,multiplicative_identity)
| less_or_equal(additive_identity,multiply(multiplicative_identity,multiplicative_identity)) ),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_61,i_0_60,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32,i_0_33,i_0_31,i_0_51,i_0_39]) ).
cnf(i_0_237,plain,
( ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(additive_identity,multiply(X2,X1)) ),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_238,plain,
( ~ less_or_equal(additive_identity,multiplicative_identity)
| equalish(multiplicative_inverse(multiplicative_identity),additive_identity)
| equalish(multiply(multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_inverse(multiplicative_identity))),multiplicative_identity) ),
inference(scs_inference,[],[i_0_57,i_0_184,i_0_104,i_0_168,i_0_172,i_0_116,i_0_55,i_0_61,i_0_60,i_0_47,i_0_48,i_0_37,i_0_38,i_0_34,i_0_35,i_0_36,i_0_45,i_0_43,i_0_52,i_0_44,i_0_32,i_0_33,i_0_31,i_0_51,i_0_39,i_0_40]) ).
cnf(i_0_239,plain,
equalish(multiply(add(a,a),a),add(multiply(a,a),multiply(a,a))),
inference(scs_inference,[],[i_0_152,i_0_52]) ).
cnf(i_0_240,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_241,plain,
equalish(multiply(add(a,a),a),multiply(add(a,a),a)),
inference(scs_inference,[],[i_0_152,i_0_52,i_0_45]) ).
cnf(i_0_242,plain,
( ~ equalish(X1,X2)
| ~ equalish(X3,X1)
| equalish(X3,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_243,plain,
equalish(multiply(a,multiply(a,a)),multiply(multiply(a,a),a)),
inference(scs_inference,[],[i_0_152,i_0_59,i_0_52,i_0_45,i_0_32]) ).
cnf(i_0_244,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X2,multiply(X1,X3)),multiply(multiply(X2,X1),X3))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_245,plain,
equalish(add(a,add(a,a)),add(add(a,a),a)),
inference(scs_inference,[],[i_0_152,i_0_59,i_0_52,i_0_45,i_0_32,i_0_33]) ).
cnf(i_0_246,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(X2,add(X1,X3)),add(add(X2,X1),X3))
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_247,plain,
less_or_equal(multiply(add(b,b),add(b,b)),multiply(add(b,b),add(b,b))),
inference(scs_inference,[],[i_0_186,i_0_152,i_0_59,i_0_52,i_0_45,i_0_32,i_0_33,i_0_51]) ).
cnf(i_0_248,plain,
( ~ defined(X1)
| ~ defined(X2)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_51]) ).
cnf(i_0_249,plain,
( ~ less_or_equal(add(b,add(b,b)),X1)
| less_or_equal(add(a,add(b,b)),X1) ),
inference(scs_inference,[],[i_0_186,i_0_152,i_0_194,i_0_59,i_0_52,i_0_45,i_0_32,i_0_33,i_0_51,i_0_42]) ).
cnf(i_0_250,plain,
( ~ less_or_equal(X1,X2)
| less_or_equal(X1,X3)
| ~ less_or_equal(X2,X3) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_251,plain,
( ~ less_or_equal(add(b,add(b,b)),add(a,add(b,b)))
| equalish(add(a,add(b,b)),add(a,add(b,b))) ),
inference(scs_inference,[],[i_0_186,i_0_152,i_0_194,i_0_59,i_0_52,i_0_45,i_0_32,i_0_33,i_0_51,i_0_42,i_0_44]) ).
cnf(i_0_252,plain,
( ~ less_or_equal(X1,X2)
| equalish(X2,X1)
| ~ less_or_equal(X2,X1) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_253,plain,
( ~ less_or_equal(add(b,add(b,b)),add(a,add(b,b)))
| ~ equalish(X1,add(b,additive_inverse(b)))
| ~ less_or_equal(X1,add(b,additive_inverse(a))) ),
inference(scs_inference,[],[i_0_186,i_0_152,i_0_194,i_0_156,i_0_59,i_0_52,i_0_45,i_0_32,i_0_33,i_0_51,i_0_42,i_0_44,i_0_43]) ).
cnf(i_0_254,plain,
~ equalish(additive_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))),
inference(scs_inference,[],[i_0_220,i_0_98,i_0_45]) ).
cnf(i_0_255,plain,
( ~ equalish(X1,X2)
| equalish(X1,X3)
| ~ equalish(X2,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_256,plain,
equalish(multiply(multiplicative_identity,multiply(multiplicative_identity,multiplicative_identity)),multiply(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity)),
inference(scs_inference,[],[i_0_220,i_0_98,i_0_60,i_0_45,i_0_32]) ).
cnf(i_0_257,plain,
( ~ defined(X1)
| equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X2)
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_258,plain,
equalish(add(multiplicative_identity,add(multiplicative_identity,multiplicative_identity)),add(add(multiplicative_identity,multiplicative_identity),multiplicative_identity)),
inference(scs_inference,[],[i_0_220,i_0_98,i_0_60,i_0_45,i_0_32,i_0_33]) ).
cnf(i_0_259,plain,
( ~ defined(X1)
| equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3))
| ~ defined(X2)
| ~ defined(X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_260,plain,
defined(additive_inverse(additive_inverse(multiply(b,b)))),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_98,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56]) ).
cnf(i_0_261,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_262,plain,
equalish(multiply(multiplicative_identity,additive_inverse(multiply(b,b))),additive_inverse(multiply(b,b))),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_98,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49]) ).
cnf(i_0_263,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
inference(rename_variables,[],[i_0_49]) ).
cnf(i_0_264,plain,
equalish(add(additive_identity,additive_inverse(multiply(b,b))),additive_inverse(multiply(b,b))),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_98,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50]) ).
cnf(i_0_265,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_266,plain,
equalish(add(a,additive_inverse(a)),additive_identity),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_98,i_0_59,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46]) ).
cnf(i_0_267,plain,
( ~ defined(X1)
| equalish(add(X1,additive_inverse(X1)),additive_identity) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_268,plain,
~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),additive_identity),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_98,i_0_59,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52]) ).
cnf(i_0_269,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_270,plain,
( ~ less_or_equal(X1,add(b,additive_inverse(a)))
| ~ less_or_equal(add(multiply(b,b),additive_inverse(multiply(b,b))),X1) ),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_200,i_0_98,i_0_59,i_0_60,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_42]) ).
cnf(i_0_271,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_272,plain,
~ less_or_equal(add(a,additive_inverse(a)),add(b,additive_inverse(a))),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_200,i_0_98,i_0_59,i_0_60,i_0_41,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_42,i_0_43]) ).
cnf(i_0_273,plain,
( ~ equalish(X1,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X2,X3) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_274,plain,
( ~ less_or_equal(b,add(b,additive_inverse(a)))
| ~ less_or_equal(add(multiply(b,b),additive_inverse(multiply(b,b))),a) ),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_200,i_0_98,i_0_59,i_0_60,i_0_41,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_42,i_0_43,i_0_64]) ).
cnf(i_0_275,plain,
( less_or_equal(X1,b)
| ~ less_or_equal(X1,a) ),
inference(rename_variables,[],[i_0_64]) ).
cnf(i_0_276,plain,
( ~ less_or_equal(b,add(b,additive_inverse(a)))
| ~ defined(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| defined(multiplicative_inverse(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))) ),
inference(scs_inference,[],[i_0_160,i_0_220,i_0_200,i_0_98,i_0_59,i_0_60,i_0_41,i_0_45,i_0_32,i_0_33,i_0_56,i_0_49,i_0_50,i_0_46,i_0_52,i_0_42,i_0_43,i_0_64,i_0_53]) ).
cnf(i_0_277,plain,
equalish(additive_identity,add(a,additive_inverse(a))),
inference(scs_inference,[],[i_0_266,i_0_52]) ).
cnf(i_0_278,plain,
( ~ equalish(X1,X2)
| equalish(X2,X1) ),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_279,plain,
~ defined(additive_inverse(a)),
inference(scs_inference,[],[i_0_57,i_0_266,i_0_272,i_0_52,i_0_34]) ).
cnf(i_0_280,plain,
( less_or_equal(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ less_or_equal(X1,X3) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_281,plain,
~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),add(a,additive_inverse(a))),
inference(scs_inference,[],[i_0_57,i_0_268,i_0_266,i_0_272,i_0_52,i_0_34,i_0_45]) ).
cnf(i_0_282,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_283,plain,
$false,
inference(scs_inference,[],[i_0_57,i_0_268,i_0_266,i_0_272,i_0_59,i_0_52,i_0_34,i_0_45,i_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : FLD067-1 : TPTP v9.2.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.09/0.27 % Computer : n022.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon May 4 17:30:36 EDT 2026
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % start to proof: theBenchmark
% 49.47/25.61 % Version : CSE_E---1.7
% 49.47/25.61 % Problem : theBenchmark.p
% 49.47/25.61 % SZS status Unsatisfiable for theBenchmark.p
% 49.47/25.61 % SZS output start CNFRefutation
% See solution above
% 50.33/26.07 % Total time : 25.325s
%------------------------------------------------------------------------------