TSTP Solution File: FLD050-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : FLD050-2 : 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 : n008.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 22:27:37 EDT 2023
% Result : Unsatisfiable 11.02s 11.07s
% Output : CNFRefutation 11.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 35
% Syntax : Number of formulae : 112 ( 38 unt; 15 typ; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 196 ( 98 ~; 98 |; 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 93 ( 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 ).
tff(decl_33,type,
c: $i ).
tff(decl_34,type,
d: $i ).
tff(decl_35,type,
k: $i ).
tff(decl_36,type,
s: $i ).
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(multiply_equals_k_10,negated_conjecture,
equalish(multiply(a,d),k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_k_10) ).
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(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
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(multiply_equals_s_9,negated_conjecture,
equalish(multiply(a,multiplicative_inverse(b)),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_s_9) ).
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(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(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(b_not_equal_to_additive_identity_7,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_7) ).
cnf(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(multiply_equals_k_11,negated_conjecture,
equalish(multiply(b,c),k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_k_11) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
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(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(s_is_defined,hypothesis,
defined(s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_is_defined) ).
cnf(d_not_equal_to_additive_identity_8,negated_conjecture,
~ equalish(d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_not_equal_to_additive_identity_8) ).
cnf(multiply_not_equal_to_s_12,negated_conjecture,
~ equalish(multiply(c,multiplicative_inverse(d)),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_s_12) ).
cnf(c_0_20,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
transitivity_of_equality ).
cnf(c_0_21,negated_conjecture,
equalish(multiply(a,d),k),
multiply_equals_k_10 ).
cnf(c_0_22,negated_conjecture,
( equalish(X1,k)
| ~ equalish(X1,multiply(a,d)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_multiplication ).
cnf(c_0_24,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_25,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_26,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
compatibility_of_equality_and_multiplication ).
cnf(c_0_27,negated_conjecture,
equalish(multiply(d,a),k),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
( equalish(multiply(multiply(d,a),X1),multiply(k,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
equalish(multiply(a,multiplicative_inverse(b)),s),
multiply_equals_s_9 ).
cnf(c_0_30,negated_conjecture,
( equalish(X1,multiply(k,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(multiply(d,a),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_31,axiom,
( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
associativity_multiplication ).
cnf(c_0_32,negated_conjecture,
( equalish(X1,s)
| ~ equalish(X1,multiply(a,multiplicative_inverse(b))) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( equalish(multiply(d,multiply(a,X1)),multiply(k,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24]),c_0_25])]) ).
cnf(c_0_34,plain,
( equalish(X1,multiply(X2,X3))
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(X1,multiply(X3,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_23]) ).
cnf(c_0_35,plain,
( equalish(multiply(multiply(X1,X2),X3),multiply(multiply(X2,X1),X3))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_36,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_multiplication ).
cnf(c_0_37,negated_conjecture,
( equalish(multiply(multiplicative_inverse(b),a),s)
| ~ defined(multiplicative_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_23]),c_0_24])]) ).
cnf(c_0_38,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse ).
cnf(c_0_39,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_40,negated_conjecture,
~ equalish(b,additive_identity),
b_not_equal_to_additive_identity_7 ).
cnf(c_0_41,negated_conjecture,
( equalish(X1,multiply(k,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(d,multiply(a,X2))) ),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_42,plain,
( equalish(multiply(multiply(X1,X2),X3),multiply(X3,multiply(X2,X1)))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_43,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality ).
cnf(c_0_44,negated_conjecture,
equalish(multiply(multiplicative_inverse(b),a),s),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( equalish(multiply(multiply(X1,a),d),multiply(k,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]),c_0_24])]) ).
cnf(c_0_46,negated_conjecture,
equalish(s,multiply(multiplicative_inverse(b),a)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
equalish(multiply(b,c),k),
multiply_equals_k_11 ).
cnf(c_0_48,negated_conjecture,
( equalish(X1,multiply(k,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(multiply(X2,a),d)) ),
inference(spm,[status(thm)],[c_0_20,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( equalish(multiply(s,X1),multiply(multiply(multiplicative_inverse(b),a),X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( equalish(multiply(multiply(b,c),X1),multiply(k,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( equalish(multiply(s,d),multiply(k,multiplicative_inverse(b)))
| ~ defined(multiplicative_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25])]) ).
cnf(c_0_52,negated_conjecture,
( equalish(X1,multiply(k,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(multiply(b,c),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_50]) ).
cnf(c_0_53,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_54,negated_conjecture,
equalish(multiply(s,d),multiply(k,multiplicative_inverse(b))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_55,negated_conjecture,
( equalish(multiply(b,multiply(c,X1)),multiply(k,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_31]),c_0_53]),c_0_39])]) ).
cnf(c_0_56,negated_conjecture,
equalish(multiply(k,multiplicative_inverse(b)),multiply(s,d)),
inference(spm,[status(thm)],[c_0_43,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( equalish(X1,multiply(k,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(b,multiply(c,X2))) ),
inference(spm,[status(thm)],[c_0_20,c_0_55]) ).
cnf(c_0_58,plain,
( equalish(multiply(X1,multiply(X2,X3)),multiply(X3,multiply(X1,X2)))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_36]) ).
cnf(c_0_59,negated_conjecture,
( equalish(X1,multiply(s,d))
| ~ equalish(X1,multiply(k,multiplicative_inverse(b))) ),
inference(spm,[status(thm)],[c_0_20,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( equalish(multiply(c,multiply(X1,b)),multiply(k,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_39]),c_0_53])]) ).
cnf(c_0_61,negated_conjecture,
( equalish(multiply(c,multiply(multiplicative_inverse(b),b)),multiply(s,d))
| ~ defined(multiplicative_inverse(b)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
equalish(multiply(c,multiply(multiplicative_inverse(b),b)),multiply(s,d)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_63,negated_conjecture,
( equalish(X1,multiply(s,d))
| ~ equalish(X1,multiply(c,multiply(multiplicative_inverse(b),b))) ),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
( equalish(multiply(multiply(b,multiplicative_inverse(b)),c),multiply(s,d))
| ~ defined(multiplicative_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_42]),c_0_53]),c_0_39])]) ).
cnf(c_0_65,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication ).
cnf(c_0_66,negated_conjecture,
equalish(multiply(multiply(b,multiplicative_inverse(b)),c),multiply(s,d)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_67,plain,
( equalish(multiplicative_identity,multiply(X1,multiplicative_inverse(X1)))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( equalish(X1,multiply(s,d))
| ~ equalish(X1,multiply(multiply(b,multiplicative_inverse(b)),c)) ),
inference(spm,[status(thm)],[c_0_20,c_0_66]) ).
cnf(c_0_69,plain,
( equalish(multiply(multiplicative_identity,X1),multiply(multiply(X2,multiplicative_inverse(X2)),X1))
| equalish(X2,additive_identity)
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
equalish(multiply(multiplicative_identity,c),multiply(s,d)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_53]),c_0_39])]),c_0_40]) ).
cnf(c_0_71,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_72,negated_conjecture,
equalish(s,multiply(a,multiplicative_inverse(b))),
inference(spm,[status(thm)],[c_0_43,c_0_29]) ).
cnf(c_0_73,negated_conjecture,
( equalish(X1,multiply(s,d))
| ~ equalish(X1,multiply(multiplicative_identity,c)) ),
inference(spm,[status(thm)],[c_0_20,c_0_70]) ).
cnf(c_0_74,plain,
( equalish(X1,multiply(multiplicative_identity,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
equalish(s,s),
inference(spm,[status(thm)],[c_0_32,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
equalish(c,multiply(s,d)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_53])]) ).
cnf(c_0_77,negated_conjecture,
( equalish(multiply(s,X1),multiply(s,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_75]) ).
cnf(c_0_78,hypothesis,
defined(s),
s_is_defined ).
cnf(c_0_79,negated_conjecture,
equalish(multiply(s,d),c),
inference(spm,[status(thm)],[c_0_43,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( equalish(multiply(s,X1),multiply(X1,s))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_77]),c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
( equalish(multiply(multiply(s,d),X1),multiply(c,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_79]) ).
cnf(c_0_82,plain,
( equalish(X1,multiply(multiply(X2,X3),X4))
| ~ defined(X4)
| ~ defined(X3)
| ~ defined(X2)
| ~ equalish(X1,multiply(X2,multiply(X3,X4))) ),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_83,negated_conjecture,
( equalish(multiply(X1,s),multiply(s,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( equalish(X1,multiply(c,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(multiply(s,d),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( equalish(multiply(multiply(X1,X2),s),multiply(multiply(s,X1),X2))
| ~ defined(X2)
| ~ defined(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_78])]),c_0_36]) ).
cnf(c_0_86,negated_conjecture,
( equalish(multiply(multiply(d,X1),s),multiply(c,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_25])]) ).
cnf(c_0_87,negated_conjecture,
( equalish(X1,multiply(c,X2))
| ~ defined(X2)
| ~ equalish(X1,multiply(multiply(d,X2),s)) ),
inference(spm,[status(thm)],[c_0_20,c_0_86]) ).
cnf(c_0_88,negated_conjecture,
~ equalish(d,additive_identity),
d_not_equal_to_additive_identity_8 ).
cnf(c_0_89,negated_conjecture,
( equalish(multiply(multiplicative_identity,s),multiply(c,multiplicative_inverse(d)))
| ~ defined(multiplicative_inverse(d)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_69]),c_0_78]),c_0_25])]),c_0_88]) ).
cnf(c_0_90,negated_conjecture,
equalish(multiply(multiplicative_identity,s),multiply(c,multiplicative_inverse(d))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_38]),c_0_25])]),c_0_88]) ).
cnf(c_0_91,plain,
( equalish(X1,multiply(multiplicative_identity,X2))
| ~ defined(X2)
| ~ equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_74]) ).
cnf(c_0_92,negated_conjecture,
( equalish(X1,multiply(c,multiplicative_inverse(d)))
| ~ equalish(X1,multiply(multiplicative_identity,s)) ),
inference(spm,[status(thm)],[c_0_20,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
equalish(s,multiply(multiplicative_identity,s)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_75]),c_0_78])]) ).
cnf(c_0_94,negated_conjecture,
equalish(s,multiply(c,multiplicative_inverse(d))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
~ equalish(multiply(c,multiplicative_inverse(d)),s),
multiply_not_equal_to_s_12 ).
cnf(c_0_96,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_94]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD050-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 00:05:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 11.02/11.07 % Version : CSE_E---1.5
% 11.02/11.07 % Problem : theBenchmark.p
% 11.02/11.07 % Proof found
% 11.02/11.07 % SZS status Theorem for theBenchmark.p
% 11.02/11.07 % SZS output start Proof
% See solution above
% 11.02/11.08 % Total time : 10.491000 s
% 11.02/11.08 % SZS output end Proof
% 11.02/11.08 % Total time : 10.494000 s
%------------------------------------------------------------------------------