TSTP Solution File: FLD041-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : FLD041-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Wed Aug 30 22:27:32 EDT 2023
% Result : Unsatisfiable 17.87s 18.01s
% Output : CNFRefutation 17.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 129 ( 48 unt; 11 typ; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 230 ( 117 ~; 113 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% 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 : 114 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
add: ( $i * $i ) > $i ).
tff(decl_23,type,
equalish: ( $i * $i ) > $o ).
tff(decl_24,type,
defined: $i > $o ).
tff(decl_25,type,
additive_identity: $i ).
tff(decl_26,type,
additive_inverse: $i > $i ).
tff(decl_27,type,
multiply: ( $i * $i ) > $i ).
tff(decl_28,type,
multiplicative_identity: $i ).
tff(decl_29,type,
multiplicative_inverse: $i > $i ).
tff(decl_30,type,
less_or_equal: ( $i * $i ) > $o ).
tff(decl_31,type,
a: $i ).
tff(decl_32,type,
b: $i ).
cnf(existence_of_identity_multiplication,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(existence_of_inverse_multiplication,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(b_not_equal_to_additive_identity_4,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_4) ).
cnf(transitivity_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(compatibility_of_equality_and_multiplication,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(commutativity_multiplication,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(reflexivity_of_equality,axiom,
( equalish(X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',reflexivity_of_equality) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(existence_of_identity_addition,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(multiply_equals_additive_identity_5,negated_conjecture,
equalish(multiply(a,b),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_additive_identity_5) ).
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/sandbox2/benchmark/Axioms/FLD001-0.ax',distributivity) ).
cnf(commutativity_addition,axiom,
( equalish(add(X1,X2),add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(well_definedness_of_multiplication,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(compatibility_of_equality_and_addition,axiom,
( equalish(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(associativity_multiplication,axiom,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).
cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
cnf(c_0_21,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_22,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_23,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication ).
cnf(c_0_24,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_25,negated_conjecture,
~ equalish(b,additive_identity),
b_not_equal_to_additive_identity_4 ).
cnf(c_0_26,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
transitivity_of_equality ).
cnf(c_0_27,plain,
equalish(multiply(multiplicative_identity,additive_identity),additive_identity),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_multiplication ).
cnf(c_0_29,hypothesis,
equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality ).
cnf(c_0_31,plain,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(multiplicative_identity,additive_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,hypothesis,
( equalish(multiply(multiply(b,multiplicative_inverse(b)),X1),multiply(multiplicative_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
equalish(multiplicative_identity,multiply(b,multiplicative_inverse(b))),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_34,hypothesis,
equalish(multiply(multiply(b,multiplicative_inverse(b)),additive_identity),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22])]) ).
cnf(c_0_35,hypothesis,
( equalish(X1,multiply(b,multiplicative_inverse(b)))
| ~ equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_36,hypothesis,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(multiply(b,multiplicative_inverse(b)),additive_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_37,hypothesis,
( equalish(multiply(X1,X2),multiply(multiply(b,multiplicative_inverse(b)),X2))
| ~ defined(X2)
| ~ equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_38,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_multiplication ).
cnf(c_0_39,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_40,hypothesis,
( equalish(multiply(X1,additive_identity),additive_identity)
| ~ equalish(X1,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22])]) ).
cnf(c_0_41,plain,
( equalish(multiply(X1,multiplicative_identity),multiply(multiplicative_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,axiom,
( equalish(X1,X1)
| ~ defined(X1) ),
reflexivity_of_equality ).
cnf(c_0_43,hypothesis,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(X2,additive_identity))
| ~ equalish(X2,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_40]) ).
cnf(c_0_44,plain,
equalish(multiply(additive_identity,multiplicative_identity),multiply(multiplicative_identity,additive_identity)),
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_45,plain,
equalish(multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_46,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_47,hypothesis,
( equalish(multiply(X1,b),multiply(b,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_24]) ).
cnf(c_0_48,hypothesis,
equalish(multiply(additive_identity,multiplicative_identity),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_49,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_50,hypothesis,
equalish(multiply(multiplicative_identity,a),a),
inference(spm,[status(thm)],[c_0_21,c_0_46]) ).
cnf(c_0_51,hypothesis,
equalish(multiply(a,b),multiply(b,a)),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_52,hypothesis,
equalish(additive_identity,multiply(additive_identity,multiplicative_identity)),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
equalish(multiply(a,b),additive_identity),
multiply_equals_additive_identity_5 ).
cnf(c_0_54,hypothesis,
equalish(add(additive_identity,a),a),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_55,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(multiplicative_identity,a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
cnf(c_0_56,hypothesis,
equalish(multiply(b,a),multiply(a,b)),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_57,hypothesis,
( equalish(X1,multiply(additive_identity,multiplicative_identity))
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(a,b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
equalish(additive_identity,multiply(a,b)),
inference(spm,[status(thm)],[c_0_30,c_0_53]) ).
cnf(c_0_60,hypothesis,
( equalish(multiply(add(additive_identity,a),X1),multiply(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_54]) ).
cnf(c_0_61,axiom,
( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X1,X3),X2))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
distributivity ).
cnf(c_0_62,axiom,
( equalish(add(X1,X2),add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_addition ).
cnf(c_0_63,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_multiplication ).
cnf(c_0_64,hypothesis,
equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_32]),c_0_46])]) ).
cnf(c_0_65,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse ).
cnf(c_0_66,hypothesis,
( equalish(X1,multiply(a,b))
| ~ equalish(X1,multiply(b,a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_67,hypothesis,
( equalish(multiply(additive_identity,multiplicative_identity),X1)
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
equalish(multiply(b,a),additive_identity),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_69,negated_conjecture,
( equalish(X1,multiply(a,b))
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
equalish(multiply(add(additive_identity,a),b),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_60]),c_0_24])]) ).
cnf(c_0_71,plain,
( equalish(X1,multiply(add(X2,X3),X4))
| ~ defined(X3)
| ~ defined(X4)
| ~ defined(X2)
| ~ equalish(X1,add(multiply(X2,X4),multiply(X3,X4))) ),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_72,plain,
( equalish(add(X1,multiply(X2,X3)),add(multiply(X2,X3),X1))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(multiply(b,multiplicative_inverse(b)),a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_74,plain,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_63]) ).
cnf(c_0_75,hypothesis,
defined(multiplicative_inverse(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_24]),c_0_25]) ).
cnf(c_0_76,hypothesis,
equalish(multiply(additive_identity,multiplicative_identity),multiply(a,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_77,negated_conjecture,
( equalish(multiply(a,b),X1)
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_69]) ).
cnf(c_0_78,axiom,
( equalish(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_addition ).
cnf(c_0_79,negated_conjecture,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(add(additive_identity,a),b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_70]) ).
cnf(c_0_80,plain,
( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X3,X1),X2))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63]) ).
cnf(c_0_81,hypothesis,
equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_46]),c_0_75]),c_0_24])]) ).
cnf(c_0_82,axiom,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
associativity_multiplication ).
cnf(c_0_83,hypothesis,
equalish(multiply(a,b),multiply(additive_identity,multiplicative_identity)),
inference(spm,[status(thm)],[c_0_30,c_0_76]) ).
cnf(c_0_84,hypothesis,
equalish(a,multiply(multiplicative_identity,a)),
inference(spm,[status(thm)],[c_0_30,c_0_50]) ).
cnf(c_0_85,negated_conjecture,
( equalish(multiply(a,b),a)
| ~ equalish(multiply(multiplicative_identity,a),additive_identity) ),
inference(spm,[status(thm)],[c_0_55,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( equalish(add(multiply(a,b),X1),add(additive_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_53]) ).
cnf(c_0_87,negated_conjecture,
equalish(add(multiply(a,b),multiply(additive_identity,b)),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_46]),c_0_24]),c_0_22])]) ).
cnf(c_0_88,hypothesis,
equalish(multiply(additive_identity,multiply(b,multiplicative_inverse(b))),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_74]),c_0_22]),c_0_75]),c_0_24])]) ).
cnf(c_0_89,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(a,multiply(b,multiplicative_inverse(b)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_81]) ).
cnf(c_0_90,plain,
( equalish(multiply(multiply(X1,X2),X3),multiply(X1,multiply(X2,X3)))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_82]) ).
cnf(c_0_91,hypothesis,
( equalish(X1,multiply(additive_identity,multiplicative_identity))
| ~ equalish(X1,multiply(a,b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_83]) ).
cnf(c_0_92,hypothesis,
( equalish(X1,multiply(multiplicative_identity,a))
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_26,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( equalish(a,multiply(a,b))
| ~ equalish(multiply(multiplicative_identity,a),additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
~ equalish(a,additive_identity),
a_not_equal_to_additive_identity_3 ).
cnf(c_0_95,negated_conjecture,
( equalish(X1,add(additive_identity,X2))
| ~ defined(X2)
| ~ equalish(X1,add(multiply(a,b),X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_86]) ).
cnf(c_0_96,negated_conjecture,
equalish(additive_identity,add(multiply(a,b),multiply(additive_identity,b))),
inference(spm,[status(thm)],[c_0_30,c_0_87]) ).
cnf(c_0_97,hypothesis,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(additive_identity,multiply(b,multiplicative_inverse(b)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_88]) ).
cnf(c_0_98,hypothesis,
equalish(multiply(multiply(a,b),multiplicative_inverse(b)),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_75]),c_0_24]),c_0_46])]) ).
cnf(c_0_99,hypothesis,
( equalish(X1,X2)
| ~ equalish(X1,multiply(additive_identity,multiplicative_identity))
| ~ equalish(X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_67]) ).
cnf(c_0_100,hypothesis,
equalish(multiply(b,a),multiply(additive_identity,multiplicative_identity)),
inference(spm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_101,negated_conjecture,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(b,a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_68]) ).
cnf(c_0_102,hypothesis,
( equalish(multiply(multiplicative_identity,a),X1)
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_30,c_0_92]) ).
cnf(c_0_103,negated_conjecture,
~ equalish(multiply(multiplicative_identity,a),additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_93]),c_0_94]) ).
cnf(c_0_104,plain,
( equalish(add(additive_identity,multiply(X1,X2)),multiply(X1,X2))
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_105,negated_conjecture,
( equalish(additive_identity,add(additive_identity,multiply(additive_identity,b)))
| ~ defined(multiply(additive_identity,b)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,hypothesis,
equalish(multiply(multiply(additive_identity,b),multiplicative_inverse(b)),additive_identity),
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_90]),c_0_75]),c_0_24]),c_0_22])]) ).
cnf(c_0_107,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(multiply(a,b),multiplicative_inverse(b))) ),
inference(spm,[status(thm)],[c_0_26,c_0_98]) ).
cnf(c_0_108,hypothesis,
( equalish(multiply(b,a),X1)
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,hypothesis,
~ equalish(multiply(b,a),a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_110,plain,
( equalish(X1,multiply(X2,X3))
| ~ defined(X3)
| ~ defined(X2)
| ~ equalish(X1,add(additive_identity,multiply(X2,X3))) ),
inference(spm,[status(thm)],[c_0_26,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
equalish(additive_identity,add(additive_identity,multiply(additive_identity,b))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_63]),c_0_24]),c_0_22])]) ).
cnf(c_0_112,hypothesis,
( equalish(X1,additive_identity)
| ~ equalish(X1,multiply(multiply(additive_identity,b),multiplicative_inverse(b))) ),
inference(spm,[status(thm)],[c_0_26,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
( equalish(multiply(multiply(a,b),X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_28,c_0_77]) ).
cnf(c_0_114,hypothesis,
~ equalish(multiply(multiply(a,b),multiplicative_inverse(b)),additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).
cnf(c_0_115,negated_conjecture,
equalish(additive_identity,multiply(additive_identity,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_24]),c_0_22])]) ).
cnf(c_0_116,negated_conjecture,
~ equalish(multiply(additive_identity,b),additive_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_75])]),c_0_114]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_115]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : FLD041-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.18 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.38 % Computer : n004.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sun Aug 27 23:57:08 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.64 start to proof: theBenchmark
% 17.87/18.01 % Version : CSE_E---1.5
% 17.87/18.01 % Problem : theBenchmark.p
% 17.87/18.01 % Proof found
% 17.87/18.01 % SZS status Theorem for theBenchmark.p
% 17.87/18.01 % SZS output start Proof
% See solution above
% 17.93/18.02 % Total time : 17.291000 s
% 17.93/18.02 % SZS output end Proof
% 17.93/18.02 % Total time : 17.295000 s
%------------------------------------------------------------------------------