TSTP Solution File: FLD035-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n001.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 Aug 22 10:37:33 EDT 2023
% Result : Unsatisfiable 124.97s 107.59s
% Output : CNFRefutation 125.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 125 ( 48 unt; 14 typ; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 226 ( 106 ~; 120 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 8 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 108 (; 108 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > u > multiplicative_identity > c > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiplicative_identity,type,
multiplicative_identity: $i ).
tff(u,type,
u: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(defined,type,
defined: $i > $o ).
tff(multiplicative_inverse,type,
multiplicative_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_258,axiom,
~ product(multiplicative_identity,a,b),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_159,axiom,
defined(additive_identity),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_122,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_117,axiom,
! [X] :
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_251,axiom,
defined(c),
file(unknown,unknown) ).
tff(f_253,axiom,
product(a,c,u),
file(unknown,unknown) ).
tff(f_94,axiom,
! [W,U,Z,X,Y,V] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_150,axiom,
! [A,Z,B,C,X,Y,D] :
( product(A,Z,B)
| ~ sum(X,Y,A)
| ~ product(X,Z,C)
| ~ product(Y,Z,D)
| ~ sum(C,D,B) ),
file(unknown,unknown) ).
tff(f_254,axiom,
product(b,c,u),
file(unknown,unknown) ).
tff(f_105,axiom,
! [W,U,Z,X,Y,V] :
( product(U,Z,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W) ),
file(unknown,unknown) ).
tff(f_256,axiom,
~ sum(additive_identity,c,additive_identity),
file(unknown,unknown) ).
tff(c_68,plain,
~ product(multiplicative_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_28,plain,
defined(additive_identity),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_89,plain,
! [X_85,Y_86,Z_87] :
( ~ product(X_85,Y_86,Z_87)
| product(Y_86,X_85,Z_87) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_96,plain,
! [X_30] :
( product(X_30,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_89]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_18,plain,
! [X_31] :
( ~ defined(X_31)
| sum(additive_identity,X_31,additive_identity)
| product(multiplicative_inverse(X_31),X_31,multiplicative_identity) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_58,plain,
defined(c),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_62,plain,
product(a,c,u),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_15189,plain,
! [X_471,Y_473,W_470,V_472,U_468,Z_469] :
( ~ product(U_468,Z_469,W_470)
| ~ product(Y_473,Z_469,V_472)
| ~ product(X_471,Y_473,U_468)
| product(X_471,V_472,W_470) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_16811,plain,
! [Y_561,X_562,V_563,X_564] :
( ~ product(Y_561,X_562,V_563)
| ~ product(X_564,Y_561,multiplicative_identity)
| product(X_564,V_563,X_562)
| ~ defined(X_562) ),
inference(resolution,[status(thm)],[c_16,c_15189]) ).
tff(c_16873,plain,
! [X_564] :
( ~ product(X_564,a,multiplicative_identity)
| product(X_564,u,c)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_62,c_16811]) ).
tff(c_16994,plain,
! [X_567] :
( ~ product(X_567,a,multiplicative_identity)
| product(X_567,u,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_16873]) ).
tff(c_20,plain,
! [X_33,Y_32,Z_34] :
( ~ product(X_33,Y_32,Z_34)
| product(Y_32,X_33,Z_34) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_17112,plain,
! [X_570] :
( product(u,X_570,c)
| ~ product(X_570,a,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_16994,c_20]) ).
tff(c_17115,plain,
( product(u,multiplicative_inverse(a),c)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_17112]) ).
tff(c_17118,plain,
( product(u,multiplicative_inverse(a),c)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_17115]) ).
tff(c_18234,plain,
sum(additive_identity,a,additive_identity),
inference(splitLeft,[status(thm)],[c_17118]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_15563,plain,
! [X_516,Z_513,B_515,C_511,D_514,A_512,Y_510] :
( ~ sum(C_511,D_514,B_515)
| ~ product(Y_510,Z_513,D_514)
| ~ product(X_516,Z_513,C_511)
| ~ sum(X_516,Y_510,A_512)
| product(A_512,Z_513,B_515) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_21569,plain,
! [Z_668,X_666,X_667,A_664,Y_665] :
( ~ product(Y_665,Z_668,X_667)
| ~ product(X_666,Z_668,additive_identity)
| ~ sum(X_666,Y_665,A_664)
| product(A_664,Z_668,X_667)
| ~ defined(X_667) ),
inference(resolution,[status(thm)],[c_6,c_15563]) ).
tff(c_112424,plain,
! [X_1324,X_1325,A_1326] :
( ~ product(X_1324,multiplicative_identity,additive_identity)
| ~ sum(X_1324,X_1325,A_1326)
| product(A_1326,multiplicative_identity,X_1325)
| ~ defined(X_1325) ),
inference(resolution,[status(thm)],[c_96,c_21569]) ).
tff(c_113549,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_18234,c_112424]) ).
tff(c_114486,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_113549]) ).
tff(c_114717,plain,
~ product(additive_identity,multiplicative_identity,additive_identity),
inference(splitLeft,[status(thm)],[c_114486]) ).
tff(c_114720,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_96,c_114717]) ).
tff(c_114724,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_114720]) ).
tff(c_114725,plain,
product(additive_identity,multiplicative_identity,a),
inference(splitRight,[status(thm)],[c_114486]) ).
tff(c_115051,plain,
product(multiplicative_identity,additive_identity,a),
inference(resolution,[status(thm)],[c_114725,c_20]) ).
tff(c_114726,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(splitRight,[status(thm)],[c_114486]) ).
tff(c_64,plain,
product(b,c,u),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_16875,plain,
! [X_564] :
( ~ product(X_564,b,multiplicative_identity)
| product(X_564,u,c)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_64,c_16811]) ).
tff(c_17082,plain,
! [X_569] :
( ~ product(X_569,b,multiplicative_identity)
| product(X_569,u,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_16875]) ).
tff(c_17371,plain,
! [X_576] :
( product(u,X_576,c)
| ~ product(X_576,b,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_17082,c_20]) ).
tff(c_17374,plain,
( product(u,multiplicative_inverse(b),c)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_17371]) ).
tff(c_17377,plain,
( product(u,multiplicative_inverse(b),c)
| sum(additive_identity,b,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_17374]) ).
tff(c_27188,plain,
sum(additive_identity,b,additive_identity),
inference(splitLeft,[status(thm)],[c_17377]) ).
tff(c_113363,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_27188,c_112424]) ).
tff(c_114342,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_113363]) ).
tff(c_115667,plain,
product(additive_identity,multiplicative_identity,b),
inference(demodulation,[status(thm),theory(equality)],[c_114726,c_114342]) ).
tff(c_15323,plain,
! [X_486,V_488,W_487,Z_484,Y_483,U_485] :
( ~ product(X_486,V_488,W_487)
| ~ product(Y_483,Z_484,V_488)
| ~ product(X_486,Y_483,U_485)
| product(U_485,Z_484,W_487) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_15354,plain,
! [Y_483,Z_484,X_30,U_485] :
( ~ product(Y_483,Z_484,X_30)
| ~ product(multiplicative_identity,Y_483,U_485)
| product(U_485,Z_484,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_15323]) ).
tff(c_115695,plain,
! [U_485] :
( ~ product(multiplicative_identity,additive_identity,U_485)
| product(U_485,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_115667,c_15354]) ).
tff(c_117554,plain,
! [U_1343] :
( ~ product(multiplicative_identity,additive_identity,U_1343)
| product(U_1343,multiplicative_identity,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_115695]) ).
tff(c_117577,plain,
product(a,multiplicative_identity,b),
inference(resolution,[status(thm)],[c_115051,c_117554]) ).
tff(c_117786,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_117577,c_20]) ).
tff(c_117844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_117786]) ).
tff(c_117846,plain,
~ sum(additive_identity,b,additive_identity),
inference(splitRight,[status(thm)],[c_17377]) ).
tff(c_66,plain,
~ sum(additive_identity,c,additive_identity),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_97,plain,
product(c,a,u),
inference(resolution,[status(thm)],[c_62,c_89]) ).
tff(c_16869,plain,
! [X_564] :
( ~ product(X_564,c,multiplicative_identity)
| product(X_564,u,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_97,c_16811]) ).
tff(c_16970,plain,
! [X_566] :
( ~ product(X_566,c,multiplicative_identity)
| product(X_566,u,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_16869]) ).
tff(c_17119,plain,
! [X_571] :
( product(u,X_571,a)
| ~ product(X_571,c,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_16970,c_20]) ).
tff(c_17122,plain,
( product(u,multiplicative_inverse(c),a)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_17119]) ).
tff(c_17125,plain,
( product(u,multiplicative_inverse(c),a)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_17122]) ).
tff(c_17126,plain,
product(u,multiplicative_inverse(c),a),
inference(negUnitSimplification,[status(thm)],[c_66,c_17125]) ).
tff(c_17340,plain,
product(multiplicative_inverse(c),u,a),
inference(resolution,[status(thm)],[c_17126,c_20]) ).
tff(c_117845,plain,
product(u,multiplicative_inverse(b),c),
inference(splitRight,[status(thm)],[c_17377]) ).
tff(c_15348,plain,
! [Y_483,Z_484,X_31,U_485] :
( ~ product(Y_483,Z_484,X_31)
| ~ product(multiplicative_inverse(X_31),Y_483,U_485)
| product(U_485,Z_484,multiplicative_identity)
| ~ defined(X_31)
| sum(additive_identity,X_31,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_15323]) ).
tff(c_118150,plain,
! [U_485] :
( ~ product(multiplicative_inverse(c),u,U_485)
| product(U_485,multiplicative_inverse(b),multiplicative_identity)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_117845,c_15348]) ).
tff(c_118187,plain,
! [U_485] :
( ~ product(multiplicative_inverse(c),u,U_485)
| product(U_485,multiplicative_inverse(b),multiplicative_identity)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_118150]) ).
tff(c_129068,plain,
! [U_1447] :
( ~ product(multiplicative_inverse(c),u,U_1447)
| product(U_1447,multiplicative_inverse(b),multiplicative_identity) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_118187]) ).
tff(c_129127,plain,
product(a,multiplicative_inverse(b),multiplicative_identity),
inference(resolution,[status(thm)],[c_17340,c_129068]) ).
tff(c_188133,plain,
! [X_1839,X_1840] :
( ~ product(X_1839,multiplicative_inverse(X_1840),multiplicative_identity)
| product(X_1839,multiplicative_identity,X_1840)
| ~ defined(X_1840)
| sum(additive_identity,X_1840,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_16811]) ).
tff(c_188139,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[c_129127,c_188133]) ).
tff(c_188153,plain,
( product(a,multiplicative_identity,b)
| sum(additive_identity,b,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_188139]) ).
tff(c_188154,plain,
product(a,multiplicative_identity,b),
inference(negUnitSimplification,[status(thm)],[c_117846,c_188153]) ).
tff(c_188206,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_188154,c_20]) ).
tff(c_188265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_188206]) ).
tff(c_188267,plain,
~ sum(additive_identity,a,additive_identity),
inference(splitRight,[status(thm)],[c_17118]) ).
tff(c_98,plain,
product(c,b,u),
inference(resolution,[status(thm)],[c_64,c_89]) ).
tff(c_16867,plain,
! [X_564] :
( ~ product(X_564,c,multiplicative_identity)
| product(X_564,u,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_98,c_16811]) ).
tff(c_16946,plain,
! [X_565] :
( ~ product(X_565,c,multiplicative_identity)
| product(X_565,u,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_16867]) ).
tff(c_17024,plain,
! [X_568] :
( product(u,X_568,b)
| ~ product(X_568,c,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_16946,c_20]) ).
tff(c_17027,plain,
( product(u,multiplicative_inverse(c),b)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_17024]) ).
tff(c_17030,plain,
( product(u,multiplicative_inverse(c),b)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_17027]) ).
tff(c_17031,plain,
product(u,multiplicative_inverse(c),b),
inference(negUnitSimplification,[status(thm)],[c_66,c_17030]) ).
tff(c_17057,plain,
product(multiplicative_inverse(c),u,b),
inference(resolution,[status(thm)],[c_17031,c_20]) ).
tff(c_188266,plain,
product(u,multiplicative_inverse(a),c),
inference(splitRight,[status(thm)],[c_17118]) ).
tff(c_196445,plain,
! [Y_1952,Z_1953,X_1954,U_1955] :
( ~ product(Y_1952,Z_1953,X_1954)
| ~ product(multiplicative_inverse(X_1954),Y_1952,U_1955)
| product(U_1955,Z_1953,multiplicative_identity)
| ~ defined(X_1954)
| sum(additive_identity,X_1954,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_15323]) ).
tff(c_196463,plain,
! [U_1955] :
( ~ product(multiplicative_inverse(c),u,U_1955)
| product(U_1955,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_188266,c_196445]) ).
tff(c_196607,plain,
! [U_1955] :
( ~ product(multiplicative_inverse(c),u,U_1955)
| product(U_1955,multiplicative_inverse(a),multiplicative_identity)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_196463]) ).
tff(c_291506,plain,
! [U_2610] :
( ~ product(multiplicative_inverse(c),u,U_2610)
| product(U_2610,multiplicative_inverse(a),multiplicative_identity) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_196607]) ).
tff(c_291559,plain,
product(b,multiplicative_inverse(a),multiplicative_identity),
inference(resolution,[status(thm)],[c_17057,c_291506]) ).
tff(c_379760,plain,
! [X_3166,X_3167] :
( ~ product(X_3166,multiplicative_inverse(X_3167),multiplicative_identity)
| product(X_3166,multiplicative_identity,X_3167)
| ~ defined(X_3167)
| sum(additive_identity,X_3167,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_16811]) ).
tff(c_379788,plain,
( product(b,multiplicative_identity,a)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_291559,c_379760]) ).
tff(c_379833,plain,
( product(b,multiplicative_identity,a)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_379788]) ).
tff(c_379834,plain,
product(b,multiplicative_identity,a),
inference(negUnitSimplification,[status(thm)],[c_188267,c_379833]) ).
tff(c_379948,plain,
product(multiplicative_identity,b,a),
inference(resolution,[status(thm)],[c_379834,c_20]) ).
tff(c_17127,plain,
! [Y_572,Z_573,X_574,U_575] :
( ~ product(Y_572,Z_573,X_574)
| ~ product(multiplicative_identity,Y_572,U_575)
| product(U_575,Z_573,X_574)
| ~ defined(X_574) ),
inference(resolution,[status(thm)],[c_16,c_15323]) ).
tff(c_17296,plain,
! [X_30,U_575] :
( ~ product(multiplicative_identity,X_30,U_575)
| product(U_575,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_96,c_17127]) ).
tff(c_380068,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_379948,c_17296]) ).
tff(c_380120,plain,
product(a,multiplicative_identity,b),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_380068]) ).
tff(c_380333,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_380120,c_20]) ).
tff(c_380392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_380333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n001.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 : Thu Aug 3 20:23:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 124.97/107.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 125.06/107.60
% 125.06/107.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 125.06/107.65
% 125.06/107.65 Inference rules
% 125.06/107.65 ----------------------
% 125.06/107.65 #Ref : 0
% 125.06/107.65 #Sup : 84451
% 125.06/107.65 #Fact : 34
% 125.06/107.65 #Define : 0
% 125.06/107.65 #Split : 372
% 125.06/107.65 #Chain : 0
% 125.06/107.65 #Close : 0
% 125.06/107.65
% 125.06/107.65 Ordering : KBO
% 125.06/107.65
% 125.06/107.65 Simplification rules
% 125.06/107.65 ----------------------
% 125.06/107.65 #Subsume : 5737
% 125.06/107.65 #Demod : 62299
% 125.06/107.65 #Tautology : 17575
% 125.06/107.65 #SimpNegUnit : 1504
% 125.06/107.65 #BackRed : 0
% 125.06/107.65
% 125.06/107.65 #Partial instantiations: 0
% 125.06/107.65 #Strategies tried : 1
% 125.06/107.65
% 125.06/107.65 Timing (in seconds)
% 125.06/107.65 ----------------------
% 125.06/107.65 Preprocessing : 0.52
% 125.06/107.65 Parsing : 0.28
% 125.06/107.65 CNF conversion : 0.03
% 125.06/107.65 Main loop : 106.10
% 125.06/107.65 Inferencing : 11.56
% 125.06/107.65 Reduction : 55.81
% 125.06/107.65 Demodulation : 47.82
% 125.06/107.65 BG Simplification : 0.41
% 125.06/107.65 Subsumption : 30.19
% 125.06/107.65 Abstraction : 0.63
% 125.06/107.65 MUC search : 0.00
% 125.06/107.65 Cooper : 0.00
% 125.06/107.65 Total : 106.70
% 125.06/107.65 Index Insertion : 0.00
% 125.06/107.65 Index Deletion : 0.00
% 125.06/107.65 Index Matching : 0.00
% 125.06/107.65 BG Taut test : 0.00
%------------------------------------------------------------------------------