TSTP Solution File: FLD015-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : FLD015-1 : 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 : n002.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 22:27:18 EDT 2023
% Result : Unsatisfiable 4.04s 4.12s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 136 ( 51 unt; 11 typ; 0 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 224 ( 115 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 115 ( 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(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(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_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(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_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(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(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(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
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(existence_of_inverse_addition,axiom,
( equalish(add(X1,additive_inverse(X1)),additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
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(associativity_addition,axiom,
( equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_addition) ).
cnf(well_definedness_of_addition,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_addition) ).
cnf(additive_inverse_equals_additive_inverse_3,negated_conjecture,
equalish(additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_equals_additive_inverse_3) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(a_not_equal_to_b_4,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_4) ).
cnf(c_0_18,axiom,
( equalish(add(X1,X2),add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_addition ).
cnf(c_0_19,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_20,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_21,hypothesis,
( equalish(add(X1,b),add(b,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_23,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_24,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_multiplication ).
cnf(c_0_25,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_26,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
transitivity_of_equality ).
cnf(c_0_27,hypothesis,
equalish(add(additive_identity,b),b),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_28,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality ).
cnf(c_0_29,hypothesis,
equalish(add(additive_identity,b),add(b,additive_identity)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_31,hypothesis,
equalish(multiply(multiplicative_identity,b),b),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_32,plain,
( equalish(multiply(X1,multiplicative_identity),multiply(multiplicative_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,add(additive_identity,b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,hypothesis,
equalish(add(b,additive_identity),add(additive_identity,b)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,hypothesis,
( equalish(add(X1,a),add(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_36,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,multiply(multiplicative_identity,b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_37,hypothesis,
equalish(multiply(b,multiplicative_identity),multiply(multiplicative_identity,b)),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_38,hypothesis,
equalish(add(b,additive_identity),b),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,axiom,
( equalish(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_addition ).
cnf(c_0_40,hypothesis,
equalish(add(additive_identity,a),a),
inference(spm,[status(thm)],[c_0_20,c_0_30]) ).
cnf(c_0_41,hypothesis,
equalish(add(additive_identity,a),add(a,additive_identity)),
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_42,axiom,
( equalish(add(X1,additive_inverse(X1)),additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition ).
cnf(c_0_43,hypothesis,
equalish(multiply(b,multiplicative_identity),b),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_multiplication ).
cnf(c_0_45,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,add(b,additive_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_38]) ).
cnf(c_0_46,hypothesis,
( equalish(add(add(additive_identity,b),X1),add(b,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_47,hypothesis,
equalish(b,add(additive_identity,b)),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_48,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,add(additive_identity,a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_40]) ).
cnf(c_0_49,hypothesis,
equalish(add(a,additive_identity),add(additive_identity,a)),
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_50,hypothesis,
equalish(multiply(multiplicative_identity,a),a),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_51,hypothesis,
equalish(add(b,additive_inverse(b)),additive_identity),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_52,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,multiply(b,multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_43]) ).
cnf(c_0_53,hypothesis,
( equalish(multiply(add(additive_identity,b),X1),multiply(b,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_54,hypothesis,
equalish(add(add(additive_identity,b),additive_identity),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_22])]) ).
cnf(c_0_55,hypothesis,
( equalish(X1,add(additive_identity,b))
| ~ equalish(X1,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_47]) ).
cnf(c_0_56,hypothesis,
equalish(add(a,additive_identity),a),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(multiplicative_identity,a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
cnf(c_0_58,hypothesis,
equalish(multiply(a,multiplicative_identity),multiply(multiplicative_identity,a)),
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_59,axiom,
( equalish(add(X1,add(X2,X3)),add(add(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
associativity_addition ).
cnf(c_0_60,hypothesis,
( equalish(add(add(b,additive_inverse(b)),X1),add(additive_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_61,hypothesis,
equalish(multiply(add(additive_identity,b),multiplicative_identity),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25])]) ).
cnf(c_0_62,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,add(add(additive_identity,b),additive_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_54]) ).
cnf(c_0_63,hypothesis,
( equalish(add(X1,X2),add(add(additive_identity,b),X2))
| ~ defined(X2)
| ~ equalish(X1,b) ),
inference(spm,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_64,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,add(a,additive_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_65,hypothesis,
( equalish(add(multiply(multiplicative_identity,a),X1),add(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_66,hypothesis,
equalish(multiply(a,multiplicative_identity),a),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( equalish(add(add(X1,X2),X3),add(X1,add(X2,X3)))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_59]) ).
cnf(c_0_68,hypothesis,
equalish(add(add(b,additive_inverse(b)),a),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_60]),c_0_30])]) ).
cnf(c_0_69,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,multiply(add(additive_identity,b),multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_70,hypothesis,
( equalish(multiply(X1,X2),multiply(add(additive_identity,b),X2))
| ~ defined(X2)
| ~ equalish(X1,b) ),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_71,hypothesis,
equalish(a,multiply(multiplicative_identity,a)),
inference(spm,[status(thm)],[c_0_28,c_0_50]) ).
cnf(c_0_72,hypothesis,
( equalish(add(X1,additive_identity),b)
| ~ equalish(X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_22])]) ).
cnf(c_0_73,hypothesis,
equalish(add(multiply(multiplicative_identity,a),additive_identity),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_22])]) ).
cnf(c_0_74,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(a,multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_66]) ).
cnf(c_0_75,hypothesis,
( equalish(multiply(add(additive_identity,a),X1),multiply(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_40]) ).
cnf(c_0_76,hypothesis,
equalish(a,add(additive_identity,a)),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_77,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_addition ).
cnf(c_0_78,plain,
( equalish(X1,add(X2,add(X3,X4)))
| ~ defined(X4)
| ~ defined(X3)
| ~ defined(X2)
| ~ equalish(X1,add(add(X2,X3),X4)) ),
inference(spm,[status(thm)],[c_0_26,c_0_67]) ).
cnf(c_0_79,hypothesis,
equalish(a,add(add(b,additive_inverse(b)),a)),
inference(spm,[status(thm)],[c_0_28,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
equalish(additive_inverse(a),additive_inverse(b)),
additive_inverse_equals_additive_inverse_3 ).
cnf(c_0_81,hypothesis,
equalish(add(a,additive_inverse(a)),additive_identity),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
cnf(c_0_82,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse ).
cnf(c_0_83,hypothesis,
( equalish(multiply(X1,multiplicative_identity),b)
| ~ equalish(X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_25])]) ).
cnf(c_0_84,hypothesis,
( equalish(X1,multiply(multiplicative_identity,a))
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_26,c_0_71]) ).
cnf(c_0_85,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,add(X2,additive_identity))
| ~ equalish(X2,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_72]) ).
cnf(c_0_86,hypothesis,
equalish(a,add(multiply(multiplicative_identity,a),additive_identity)),
inference(spm,[status(thm)],[c_0_28,c_0_73]) ).
cnf(c_0_87,negated_conjecture,
~ equalish(a,b),
a_not_equal_to_b_4 ).
cnf(c_0_88,hypothesis,
equalish(multiply(add(additive_identity,a),multiplicative_identity),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_25])]) ).
cnf(c_0_89,hypothesis,
( equalish(X1,add(additive_identity,a))
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_26,c_0_76]) ).
cnf(c_0_90,hypothesis,
equalish(additive_identity,add(b,additive_inverse(b))),
inference(spm,[status(thm)],[c_0_28,c_0_51]) ).
cnf(c_0_91,plain,
( equalish(add(X1,add(X2,X3)),add(add(X2,X3),X1))
| ~ defined(X1)
| ~ defined(X3)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_77]) ).
cnf(c_0_92,hypothesis,
( equalish(a,add(b,add(additive_inverse(b),a)))
| ~ defined(additive_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_30]),c_0_19])]) ).
cnf(c_0_93,negated_conjecture,
( equalish(X1,additive_inverse(b))
| ~ equalish(X1,additive_inverse(a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_80]) ).
cnf(c_0_94,hypothesis,
( equalish(X1,additive_identity)
| ~ equalish(X1,add(a,additive_inverse(a))) ),
inference(spm,[status(thm)],[c_0_26,c_0_81]) ).
cnf(c_0_95,hypothesis,
( equalish(add(additive_inverse(X1),a),add(a,additive_inverse(X1)))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_82]) ).
cnf(c_0_96,negated_conjecture,
equalish(additive_inverse(b),additive_inverse(a)),
inference(spm,[status(thm)],[c_0_28,c_0_80]) ).
cnf(c_0_97,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,multiply(X2,multiplicative_identity))
| ~ equalish(X2,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_83]) ).
cnf(c_0_98,hypothesis,
( equalish(multiply(multiplicative_identity,a),X1)
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_28,c_0_84]) ).
cnf(c_0_99,hypothesis,
~ equalish(multiply(multiplicative_identity,a),b),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_100,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(add(additive_identity,a),multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_26,c_0_88]) ).
cnf(c_0_101,hypothesis,
( equalish(multiply(X1,X2),multiply(add(additive_identity,a),X2))
| ~ defined(X2)
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_44,c_0_89]) ).
cnf(c_0_102,hypothesis,
equalish(add(add(b,additive_inverse(b)),b),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_60]),c_0_19])]) ).
cnf(c_0_103,hypothesis,
( equalish(X1,add(b,additive_inverse(b)))
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_90]) ).
cnf(c_0_104,plain,
( equalish(X1,add(add(X2,X3),X4))
| ~ defined(X4)
| ~ defined(X3)
| ~ defined(X2)
| ~ equalish(X1,add(X4,add(X2,X3))) ),
inference(spm,[status(thm)],[c_0_26,c_0_91]) ).
cnf(c_0_105,hypothesis,
equalish(a,add(b,add(additive_inverse(b),a))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_19])]) ).
cnf(c_0_106,negated_conjecture,
( equalish(add(X1,X2),add(additive_inverse(b),X2))
| ~ defined(X2)
| ~ equalish(X1,additive_inverse(a)) ),
inference(spm,[status(thm)],[c_0_39,c_0_93]) ).
cnf(c_0_107,hypothesis,
equalish(add(additive_inverse(a),a),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_30])]) ).
cnf(c_0_108,negated_conjecture,
( equalish(X1,additive_inverse(a))
| ~ equalish(X1,additive_inverse(b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_96]) ).
cnf(c_0_109,hypothesis,
( ~ equalish(multiply(X1,multiplicative_identity),a)
| ~ equalish(X1,b) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_110,hypothesis,
( equalish(multiply(X1,multiplicative_identity),a)
| ~ equalish(X1,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_25])]) ).
cnf(c_0_111,hypothesis,
( equalish(X1,b)
| ~ equalish(X1,add(add(b,additive_inverse(b)),b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_102]) ).
cnf(c_0_112,hypothesis,
( equalish(add(X1,X2),add(add(b,additive_inverse(b)),X2))
| ~ defined(X2)
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_39,c_0_103]) ).
cnf(c_0_113,hypothesis,
( equalish(a,add(add(additive_inverse(b),a),b))
| ~ defined(additive_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_19]),c_0_30])]) ).
cnf(c_0_114,negated_conjecture,
( equalish(X1,add(additive_inverse(b),X2))
| ~ defined(X2)
| ~ equalish(X1,add(X3,X2))
| ~ equalish(X3,additive_inverse(a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_106]) ).
cnf(c_0_115,hypothesis,
equalish(additive_identity,add(additive_inverse(a),a)),
inference(spm,[status(thm)],[c_0_28,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
equalish(additive_inverse(a),additive_inverse(a)),
inference(spm,[status(thm)],[c_0_108,c_0_80]) ).
cnf(c_0_117,hypothesis,
( ~ equalish(X1,b)
| ~ equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,hypothesis,
( equalish(add(X1,b),b)
| ~ equalish(X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_19])]) ).
cnf(c_0_119,hypothesis,
equalish(a,add(add(additive_inverse(b),a),b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_82]),c_0_19])]) ).
cnf(c_0_120,negated_conjecture,
equalish(additive_identity,add(additive_inverse(b),a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_30]),c_0_116])]) ).
cnf(c_0_121,hypothesis,
( ~ equalish(add(X1,b),a)
| ~ equalish(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,hypothesis,
equalish(add(add(additive_inverse(b),a),b),a),
inference(spm,[status(thm)],[c_0_28,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
equalish(add(additive_inverse(b),a),additive_identity),
inference(spm,[status(thm)],[c_0_28,c_0_120]) ).
cnf(c_0_124,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : FLD015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.38 % Computer : n002.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Aug 28 00:57:19 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.25/0.65 start to proof: theBenchmark
% 4.04/4.12 % Version : CSE_E---1.5
% 4.04/4.12 % Problem : theBenchmark.p
% 4.04/4.12 % Proof found
% 4.04/4.12 % SZS status Theorem for theBenchmark.p
% 4.04/4.12 % SZS output start Proof
% See solution above
% 4.04/4.13 % Total time : 3.460000 s
% 4.04/4.13 % SZS output end Proof
% 4.04/4.13 % Total time : 3.463000 s
%------------------------------------------------------------------------------