TSTP Solution File: FLD049-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : FLD049-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 22:27:36 EDT 2023
% Result : Unsatisfiable 204.91s 205.19s
% Output : CNFRefutation 205.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 112 ( 52 unt; 15 typ; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 172 ( 85 ~; 87 |; 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 83 ( 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(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(s_is_defined,hypothesis,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_is_defined) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
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(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(multiply_equals_s_10,negated_conjecture,
equalish(multiply(c,multiplicative_inverse(d)),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_s_10) ).
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(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(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
cnf(d_not_equal_to_additive_identity_8,negated_conjecture,
~ equalish(d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_not_equal_to_additive_identity_8) ).
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(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(multiply_equals_s_9,negated_conjecture,
equalish(multiply(a,multiplicative_inverse(b)),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_s_9) ).
cnf(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
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(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(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_not_equal_to_additive_identity_7,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_7) ).
cnf(multiply_equals_k_11,negated_conjecture,
equalish(multiply(a,d),k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_k_11) ).
cnf(multiply_not_equal_to_k_12,negated_conjecture,
~ equalish(multiply(b,c),k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_k_12) ).
cnf(c_0_20,axiom,
( equalish(multiply(X1,X2),multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
commutativity_multiplication ).
cnf(c_0_21,hypothesis,
defined(s),
s_is_defined ).
cnf(c_0_22,hypothesis,
( equalish(multiply(s,X1),multiply(X1,s))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_24,axiom,
( equalish(X1,X2)
| ~ equalish(X1,X3)
| ~ equalish(X3,X2) ),
transitivity_of_equality ).
cnf(c_0_25,hypothesis,
equalish(multiply(s,d),multiply(d,s)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
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(c,multiplicative_inverse(d)),s),
multiply_equals_s_10 ).
cnf(c_0_28,hypothesis,
( equalish(X1,multiply(d,s))
| ~ equalish(X1,multiply(s,d)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( equalish(multiply(multiply(c,multiplicative_inverse(d)),X1),multiply(s,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,hypothesis,
equalish(multiply(multiply(c,multiplicative_inverse(d)),d),multiply(d,s)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_23])]) ).
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,axiom,
( defined(multiplicative_inverse(X1))
| equalish(X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse ).
cnf(c_0_33,hypothesis,
( equalish(X1,multiply(d,s))
| ~ equalish(X1,multiply(multiply(c,multiplicative_inverse(d)),d)) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_34,plain,
( equalish(multiply(X1,multiply(multiplicative_inverse(X2),X3)),multiply(multiply(X1,multiplicative_inverse(X2)),X3))
| equalish(X2,additive_identity)
| ~ defined(X3)
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_36,negated_conjecture,
~ equalish(d,additive_identity),
d_not_equal_to_additive_identity_8 ).
cnf(c_0_37,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_multiplication ).
cnf(c_0_38,hypothesis,
equalish(multiply(c,multiply(multiplicative_inverse(d),d)),multiply(d,s)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23]),c_0_35])]),c_0_36]) ).
cnf(c_0_39,plain,
( equalish(multiply(multiply(X1,X2),X3),multiply(X3,multiply(X1,X2)))
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_40,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_41,hypothesis,
( equalish(X1,multiply(d,s))
| ~ equalish(X1,multiply(c,multiply(multiplicative_inverse(d),d))) ),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_42,plain,
( equalish(multiply(multiply(multiplicative_inverse(X1),X2),X3),multiply(X3,multiply(multiplicative_inverse(X1),X2)))
| equalish(X1,additive_identity)
| ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_32]) ).
cnf(c_0_43,hypothesis,
equalish(multiply(s,b),multiply(b,s)),
inference(spm,[status(thm)],[c_0_22,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
equalish(multiply(a,multiplicative_inverse(b)),s),
multiply_equals_s_9 ).
cnf(c_0_45,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_20]) ).
cnf(c_0_46,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality ).
cnf(c_0_47,hypothesis,
equalish(multiply(multiply(multiplicative_inverse(d),d),c),multiply(d,s)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35]),c_0_23])]),c_0_36]) ).
cnf(c_0_48,hypothesis,
( equalish(X1,multiply(b,s))
| ~ equalish(X1,multiply(s,b)) ),
inference(spm,[status(thm)],[c_0_24,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( equalish(multiply(multiply(a,multiplicative_inverse(b)),X1),multiply(s,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_44]) ).
cnf(c_0_50,axiom,
( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
| equalish(X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication ).
cnf(c_0_51,plain,
( equalish(X1,multiply(multiply(X2,X3),X4))
| ~ defined(X4)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(X1,multiply(multiply(X3,X2),X4)) ),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_52,hypothesis,
equalish(multiply(d,s),multiply(multiply(multiplicative_inverse(d),d),c)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,hypothesis,
equalish(multiply(multiply(a,multiplicative_inverse(b)),b),multiply(b,s)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_40])]) ).
cnf(c_0_54,axiom,
( equalish(multiply(multiplicative_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_55,plain,
( equalish(multiply(multiply(X1,multiplicative_inverse(X1)),X2),multiply(multiplicative_identity,X2))
| equalish(X1,additive_identity)
| ~ defined(X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_50]) ).
cnf(c_0_56,hypothesis,
( equalish(multiply(d,s),multiply(multiply(d,multiplicative_inverse(d)),c))
| ~ defined(multiplicative_inverse(d)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35]),c_0_23])]) ).
cnf(c_0_57,hypothesis,
( equalish(X1,multiply(b,s))
| ~ equalish(X1,multiply(multiply(a,multiplicative_inverse(b)),b)) ),
inference(spm,[status(thm)],[c_0_24,c_0_53]) ).
cnf(c_0_58,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_59,negated_conjecture,
~ equalish(b,additive_identity),
b_not_equal_to_additive_identity_7 ).
cnf(c_0_60,hypothesis,
equalish(multiply(multiplicative_identity,c),c),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_61,plain,
( equalish(X1,multiply(multiplicative_identity,X2))
| equalish(X3,additive_identity)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(X1,multiply(multiply(X3,multiplicative_inverse(X3)),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_55]) ).
cnf(c_0_62,hypothesis,
equalish(multiply(d,s),multiply(multiply(d,multiplicative_inverse(d)),c)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_32]),c_0_23])]),c_0_36]) ).
cnf(c_0_63,hypothesis,
equalish(multiply(a,multiply(multiplicative_inverse(b),b)),multiply(b,s)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_40]),c_0_58])]),c_0_59]) ).
cnf(c_0_64,hypothesis,
( equalish(X1,c)
| ~ equalish(X1,multiply(multiplicative_identity,c)) ),
inference(spm,[status(thm)],[c_0_24,c_0_60]) ).
cnf(c_0_65,hypothesis,
equalish(multiply(d,s),multiply(multiplicative_identity,c)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_35]),c_0_23])]),c_0_36]) ).
cnf(c_0_66,hypothesis,
( equalish(X1,multiply(b,s))
| ~ equalish(X1,multiply(a,multiply(multiplicative_inverse(b),b))) ),
inference(spm,[status(thm)],[c_0_24,c_0_63]) ).
cnf(c_0_67,hypothesis,
equalish(multiply(d,s),c),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,hypothesis,
equalish(multiply(multiply(multiplicative_inverse(b),b),a),multiply(b,s)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_58]),c_0_40])]),c_0_59]) ).
cnf(c_0_69,hypothesis,
( equalish(multiply(multiply(d,s),X1),multiply(c,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_67]) ).
cnf(c_0_70,hypothesis,
equalish(multiply(b,s),multiply(multiply(multiplicative_inverse(b),b),a)),
inference(spm,[status(thm)],[c_0_46,c_0_68]) ).
cnf(c_0_71,hypothesis,
equalish(multiply(multiply(d,s),b),multiply(c,b)),
inference(spm,[status(thm)],[c_0_69,c_0_40]) ).
cnf(c_0_72,hypothesis,
( equalish(multiply(b,s),multiply(multiply(b,multiplicative_inverse(b)),a))
| ~ defined(multiplicative_inverse(b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_70]),c_0_58]),c_0_40])]) ).
cnf(c_0_73,hypothesis,
equalish(multiply(c,b),multiply(multiply(d,s),b)),
inference(spm,[status(thm)],[c_0_46,c_0_71]) ).
cnf(c_0_74,hypothesis,
equalish(multiply(multiplicative_identity,a),a),
inference(spm,[status(thm)],[c_0_54,c_0_58]) ).
cnf(c_0_75,hypothesis,
equalish(multiply(b,s),multiply(multiply(b,multiplicative_inverse(b)),a)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_32]),c_0_40])]),c_0_59]) ).
cnf(c_0_76,plain,
( equalish(X1,multiply(X2,multiply(X3,X4)))
| ~ defined(X2)
| ~ defined(X4)
| ~ defined(X3)
| ~ equalish(X1,multiply(multiply(X3,X4),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_39]) ).
cnf(c_0_77,hypothesis,
equalish(multiply(c,b),multiply(multiply(s,d),b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_73]),c_0_40]),c_0_21]),c_0_23])]) ).
cnf(c_0_78,hypothesis,
( equalish(X1,a)
| ~ equalish(X1,multiply(multiplicative_identity,a)) ),
inference(spm,[status(thm)],[c_0_24,c_0_74]) ).
cnf(c_0_79,hypothesis,
equalish(multiply(b,s),multiply(multiplicative_identity,a)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_75]),c_0_58]),c_0_40])]),c_0_59]) ).
cnf(c_0_80,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_24,c_0_31]) ).
cnf(c_0_81,hypothesis,
equalish(multiply(c,b),multiply(b,multiply(s,d))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_40]),c_0_23]),c_0_21])]) ).
cnf(c_0_82,hypothesis,
equalish(multiply(b,s),a),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,hypothesis,
equalish(multiply(c,b),multiply(multiply(b,s),d)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_23]),c_0_21]),c_0_40])]) ).
cnf(c_0_84,negated_conjecture,
equalish(multiply(a,d),k),
multiply_equals_k_11 ).
cnf(c_0_85,hypothesis,
( equalish(multiply(multiply(b,s),X1),multiply(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_82]) ).
cnf(c_0_86,plain,
( equalish(X1,multiply(X2,X3))
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(X1,multiply(X3,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_87,hypothesis,
equalish(multiply(multiply(b,s),d),multiply(c,b)),
inference(spm,[status(thm)],[c_0_46,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( equalish(X1,k)
| ~ equalish(X1,multiply(a,d)) ),
inference(spm,[status(thm)],[c_0_24,c_0_84]) ).
cnf(c_0_89,hypothesis,
equalish(multiply(multiply(b,s),d),multiply(a,d)),
inference(spm,[status(thm)],[c_0_85,c_0_23]) ).
cnf(c_0_90,hypothesis,
equalish(multiply(multiply(b,s),d),multiply(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_40]),c_0_35])]) ).
cnf(c_0_91,negated_conjecture,
equalish(multiply(multiply(b,s),d),k),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,hypothesis,
( equalish(X1,multiply(b,c))
| ~ equalish(X1,multiply(multiply(b,s),d)) ),
inference(spm,[status(thm)],[c_0_24,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
equalish(k,multiply(multiply(b,s),d)),
inference(spm,[status(thm)],[c_0_46,c_0_91]) ).
cnf(c_0_94,hypothesis,
equalish(k,multiply(b,c)),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
~ equalish(multiply(b,c),k),
multiply_not_equal_to_k_12 ).
cnf(c_0_96,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_94]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : FLD049-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 00:34:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 204.91/205.19 % Version : CSE_E---1.5
% 204.91/205.19 % Problem : theBenchmark.p
% 204.91/205.19 % Proof found
% 204.91/205.19 % SZS status Theorem for theBenchmark.p
% 204.91/205.19 % SZS output start Proof
% See solution above
% 205.01/205.20 % Total time : 204.324000 s
% 205.01/205.20 % SZS output end Proof
% 205.01/205.20 % Total time : 204.335000 s
%------------------------------------------------------------------------------