%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD036-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 Apr 9 06:10:45 PM UTC 2025
% Result : Unsatisfiable 73.74s 59.99s
% Output : CNFRefutation 73.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 111 ( 48 unt; 0 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 : 0 ( 0 >; 0 *; 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_256,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_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_254,axiom,
product(b,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_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_253,axiom,
product(a,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_258,axiom,
~ sum(additive_identity,c,additive_identity),
file(unknown,unknown) ).
tff(c_66,plain,
~ product(multiplicative_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_256]) ).
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_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_64,plain,
product(b,c,u),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_12745,plain,
! [Y_450,W_447,Z_446,U_445,X_448,V_449] :
( ~ product(U_445,Z_446,W_447)
| ~ product(Y_450,Z_446,V_449)
| ~ product(X_448,Y_450,U_445)
| product(X_448,V_449,W_447) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_15440,plain,
! [Y_571,X_572,V_573,X_574] :
( ~ product(Y_571,X_572,V_573)
| ~ product(X_574,Y_571,multiplicative_identity)
| product(X_574,V_573,X_572)
| ~ defined(X_572) ),
inference(resolution,[status(thm)],[c_16,c_12745]) ).
tff(c_15522,plain,
! [X_574] :
( ~ product(X_574,b,multiplicative_identity)
| product(X_574,u,c)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_64,c_15440]) ).
tff(c_15755,plain,
! [X_578] :
( ~ product(X_578,b,multiplicative_identity)
| product(X_578,u,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_15522]) ).
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_16069,plain,
! [X_586] :
( product(u,X_586,c)
| ~ product(X_586,b,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_15755,c_20]) ).
tff(c_16072,plain,
( product(u,multiplicative_inverse(b),c)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_16069]) ).
tff(c_16075,plain,
( product(u,multiplicative_inverse(b),c)
| sum(additive_identity,b,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_16072]) ).
tff(c_16425,plain,
sum(additive_identity,b,additive_identity),
inference(splitLeft,[status(thm)],[c_16075]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_13104,plain,
! [Y_489,D_493,A_491,Z_492,B_494,X_495,C_490] :
( ~ sum(C_490,D_493,B_494)
| ~ product(Y_489,Z_492,D_493)
| ~ product(X_495,Z_492,C_490)
| ~ sum(X_495,Y_489,A_491)
| product(A_491,Z_492,B_494) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_20229,plain,
! [Y_662,Z_663,A_660,X_661,X_659] :
( ~ product(Y_662,Z_663,X_661)
| ~ product(X_659,Z_663,additive_identity)
| ~ sum(X_659,Y_662,A_660)
| product(A_660,Z_663,X_661)
| ~ defined(X_661) ),
inference(resolution,[status(thm)],[c_6,c_13104]) ).
tff(c_87374,plain,
! [X_1142,X_1143,A_1144] :
( ~ product(X_1142,multiplicative_identity,additive_identity)
| ~ sum(X_1142,X_1143,A_1144)
| product(A_1144,multiplicative_identity,X_1143)
| ~ defined(X_1143) ),
inference(resolution,[status(thm)],[c_96,c_20229]) ).
tff(c_88406,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_16425,c_87374]) ).
tff(c_89294,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_88406]) ).
tff(c_89369,plain,
~ product(additive_identity,multiplicative_identity,additive_identity),
inference(splitLeft,[status(thm)],[c_89294]) ).
tff(c_89372,plain,
~ defined(additive_identity),
inference(resolution,[status(thm)],[c_96,c_89369]) ).
tff(c_89376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_89372]) ).
tff(c_89378,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(splitRight,[status(thm)],[c_89294]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_62,plain,
product(a,c,u),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_15520,plain,
! [X_574] :
( ~ product(X_574,a,multiplicative_identity)
| product(X_574,u,c)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c_62,c_15440]) ).
tff(c_15716,plain,
! [X_577] :
( ~ product(X_577,a,multiplicative_identity)
| product(X_577,u,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_15520]) ).
tff(c_15994,plain,
! [X_584] :
( product(u,X_584,c)
| ~ product(X_584,a,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_15716,c_20]) ).
tff(c_15997,plain,
( product(u,multiplicative_inverse(a),c)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_15994]) ).
tff(c_16000,plain,
( product(u,multiplicative_inverse(a),c)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_15997]) ).
tff(c_25304,plain,
sum(additive_identity,a,additive_identity),
inference(splitLeft,[status(thm)],[c_16000]) ).
tff(c_88226,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_25304,c_87374]) ).
tff(c_89150,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_88226]) ).
tff(c_90738,plain,
product(additive_identity,multiplicative_identity,a),
inference(demodulation,[status(thm),theory(equality)],[c_89378,c_89150]) ).
tff(c_90833,plain,
product(multiplicative_identity,additive_identity,a),
inference(resolution,[status(thm)],[c_90738,c_20]) ).
tff(c_89377,plain,
product(additive_identity,multiplicative_identity,b),
inference(splitRight,[status(thm)],[c_89294]) ).
tff(c_12937,plain,
! [V_474,Z_470,W_473,Y_469,U_471,X_472] :
( ~ product(X_472,V_474,W_473)
| ~ product(Y_469,Z_470,V_474)
| ~ product(X_472,Y_469,U_471)
| product(U_471,Z_470,W_473) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_12971,plain,
! [Y_469,Z_470,X_30,U_471] :
( ~ product(Y_469,Z_470,X_30)
| ~ product(multiplicative_identity,Y_469,U_471)
| product(U_471,Z_470,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_12937]) ).
tff(c_89831,plain,
! [U_471] :
( ~ product(multiplicative_identity,additive_identity,U_471)
| product(U_471,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_89377,c_12971]) ).
tff(c_92139,plain,
! [U_1164] :
( ~ product(multiplicative_identity,additive_identity,U_1164)
| product(U_1164,multiplicative_identity,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_89831]) ).
tff(c_92161,plain,
product(a,multiplicative_identity,b),
inference(resolution,[status(thm)],[c_90833,c_92139]) ).
tff(c_92443,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_92161,c_20]) ).
tff(c_92501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_92443]) ).
tff(c_92503,plain,
~ sum(additive_identity,a,additive_identity),
inference(splitRight,[status(thm)],[c_16000]) ).
tff(c_68,plain,
~ sum(additive_identity,c,additive_identity),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_98,plain,
product(c,b,u),
inference(resolution,[status(thm)],[c_64,c_89]) ).
tff(c_15514,plain,
! [X_574] :
( ~ product(X_574,c,multiplicative_identity)
| product(X_574,u,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_98,c_15440]) ).
tff(c_15794,plain,
! [X_579] :
( ~ product(X_579,c,multiplicative_identity)
| product(X_579,u,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_15514]) ).
tff(c_16001,plain,
! [X_585] :
( product(u,X_585,b)
| ~ product(X_585,c,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_15794,c_20]) ).
tff(c_16004,plain,
( product(u,multiplicative_inverse(c),b)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_16001]) ).
tff(c_16007,plain,
( product(u,multiplicative_inverse(c),b)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_16004]) ).
tff(c_16008,plain,
product(u,multiplicative_inverse(c),b),
inference(negUnitSimplification,[status(thm)],[c_68,c_16007]) ).
tff(c_16039,plain,
product(multiplicative_inverse(c),u,b),
inference(resolution,[status(thm)],[c_16008,c_20]) ).
tff(c_92502,plain,
product(u,multiplicative_inverse(a),c),
inference(splitRight,[status(thm)],[c_16000]) ).
tff(c_12965,plain,
! [Y_469,Z_470,X_31,U_471] :
( ~ product(Y_469,Z_470,X_31)
| ~ product(multiplicative_inverse(X_31),Y_469,U_471)
| product(U_471,Z_470,multiplicative_identity)
| ~ defined(X_31)
| sum(additive_identity,X_31,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_12937]) ).
tff(c_92520,plain,
! [U_471] :
( ~ product(multiplicative_inverse(c),u,U_471)
| product(U_471,multiplicative_inverse(a),multiplicative_identity)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_92502,c_12965]) ).
tff(c_92555,plain,
! [U_471] :
( ~ product(multiplicative_inverse(c),u,U_471)
| product(U_471,multiplicative_inverse(a),multiplicative_identity)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_92520]) ).
tff(c_101745,plain,
! [U_1252] :
( ~ product(multiplicative_inverse(c),u,U_1252)
| product(U_1252,multiplicative_inverse(a),multiplicative_identity) ),
inference(negUnitSimplification,[status(thm)],[c_68,c_92555]) ).
tff(c_101801,plain,
product(b,multiplicative_inverse(a),multiplicative_identity),
inference(resolution,[status(thm)],[c_16039,c_101745]) ).
tff(c_160843,plain,
! [X_1633,X_1634] :
( ~ product(X_1633,multiplicative_inverse(X_1634),multiplicative_identity)
| product(X_1633,multiplicative_identity,X_1634)
| ~ defined(X_1634)
| sum(additive_identity,X_1634,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_15440]) ).
tff(c_160849,plain,
( product(b,multiplicative_identity,a)
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[c_101801,c_160843]) ).
tff(c_160863,plain,
( product(b,multiplicative_identity,a)
| sum(additive_identity,a,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_160849]) ).
tff(c_160864,plain,
product(b,multiplicative_identity,a),
inference(negUnitSimplification,[status(thm)],[c_92503,c_160863]) ).
tff(c_160978,plain,
product(multiplicative_identity,b,a),
inference(resolution,[status(thm)],[c_160864,c_20]) ).
tff(c_14824,plain,
! [Y_554,Z_555,X_556,U_557] :
( ~ product(Y_554,Z_555,X_556)
| ~ product(multiplicative_identity,Y_554,U_557)
| product(U_557,Z_555,X_556)
| ~ defined(X_556) ),
inference(resolution,[status(thm)],[c_16,c_12937]) ).
tff(c_14963,plain,
! [X_30,U_557] :
( ~ product(multiplicative_identity,X_30,U_557)
| product(U_557,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_96,c_14824]) ).
tff(c_160988,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_160978,c_14963]) ).
tff(c_161038,plain,
product(a,multiplicative_identity,b),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_160988]) ).
tff(c_161138,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_161038,c_20]) ).
tff(c_161198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_161138]) ).
tff(c_161200,plain,
~ sum(additive_identity,b,additive_identity),
inference(splitRight,[status(thm)],[c_16075]) ).
tff(c_97,plain,
product(c,a,u),
inference(resolution,[status(thm)],[c_62,c_89]) ).
tff(c_15516,plain,
! [X_574] :
( ~ product(X_574,c,multiplicative_identity)
| product(X_574,u,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_97,c_15440]) ).
tff(c_15827,plain,
! [X_580] :
( ~ product(X_580,c,multiplicative_identity)
| product(X_580,u,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_15516]) ).
tff(c_16119,plain,
! [X_591] :
( product(u,X_591,a)
| ~ product(X_591,c,multiplicative_identity) ),
inference(resolution,[status(thm)],[c_15827,c_20]) ).
tff(c_16122,plain,
( product(u,multiplicative_inverse(c),a)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_16119]) ).
tff(c_16125,plain,
( product(u,multiplicative_inverse(c),a)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_16122]) ).
tff(c_16126,plain,
product(u,multiplicative_inverse(c),a),
inference(negUnitSimplification,[status(thm)],[c_68,c_16125]) ).
tff(c_16157,plain,
product(multiplicative_inverse(c),u,a),
inference(resolution,[status(thm)],[c_16126,c_20]) ).
tff(c_161199,plain,
product(u,multiplicative_inverse(b),c),
inference(splitRight,[status(thm)],[c_16075]) ).
tff(c_167051,plain,
! [Y_1719,Z_1720,X_1721,U_1722] :
( ~ product(Y_1719,Z_1720,X_1721)
| ~ product(multiplicative_inverse(X_1721),Y_1719,U_1722)
| product(U_1722,Z_1720,multiplicative_identity)
| ~ defined(X_1721)
| sum(additive_identity,X_1721,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_12937]) ).
tff(c_167055,plain,
! [U_1722] :
( ~ product(multiplicative_inverse(c),u,U_1722)
| product(U_1722,multiplicative_inverse(b),multiplicative_identity)
| ~ defined(c)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[c_161199,c_167051]) ).
tff(c_167176,plain,
! [U_1722] :
( ~ product(multiplicative_inverse(c),u,U_1722)
| product(U_1722,multiplicative_inverse(b),multiplicative_identity)
| sum(additive_identity,c,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_167055]) ).
tff(c_172083,plain,
! [U_1778] :
( ~ product(multiplicative_inverse(c),u,U_1778)
| product(U_1778,multiplicative_inverse(b),multiplicative_identity) ),
inference(negUnitSimplification,[status(thm)],[c_68,c_167176]) ).
tff(c_172122,plain,
product(a,multiplicative_inverse(b),multiplicative_identity),
inference(resolution,[status(thm)],[c_16157,c_172083]) ).
tff(c_245443,plain,
! [X_2223,X_2224] :
( ~ product(X_2223,multiplicative_inverse(X_2224),multiplicative_identity)
| product(X_2223,multiplicative_identity,X_2224)
| ~ defined(X_2224)
| sum(additive_identity,X_2224,additive_identity) ),
inference(resolution,[status(thm)],[c_18,c_15440]) ).
tff(c_245468,plain,
( product(a,multiplicative_identity,b)
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[c_172122,c_245443]) ).
tff(c_245506,plain,
( product(a,multiplicative_identity,b)
| sum(additive_identity,b,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_245468]) ).
tff(c_245507,plain,
product(a,multiplicative_identity,b),
inference(negUnitSimplification,[status(thm)],[c_161200,c_245506]) ).
tff(c_245559,plain,
product(multiplicative_identity,a,b),
inference(resolution,[status(thm)],[c_245507,c_20]) ).
tff(c_245620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_245559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD036-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 18:45:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 73.74/59.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 73.85/60.01
% 73.85/60.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------