TSTP Solution File: HEN011-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HEN011-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n023.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 10:42:20 EDT 2023
% Result : Unsatisfiable 39.74s 26.28s
% Output : CNFRefutation 40.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 151 ( 101 unt; 10 typ; 0 def)
% Number of atoms : 188 ( 129 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 149 (; 149 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_equal > divide > #nlpp > zero > identity > g > e > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_equal,type,
less_equal: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(g,type,
g: $i ).
tff(d,type,
d: $i ).
tff(identity,type,
identity: $i ).
tff(e,type,
e: $i ).
tff(zero,type,
zero: $i ).
tff(c,type,
c: $i ).
tff(f_57,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ( divide(X,Y) = zero ) ),
file(unknown,unknown) ).
tff(f_63,axiom,
! [X] : less_equal(zero,X),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X,Y] :
( ( divide(X,Y) != zero )
| less_equal(X,Y) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X] : less_equal(X,identity),
file(unknown,unknown) ).
tff(f_84,axiom,
divide(identity,d) = g,
file(unknown,unknown) ).
tff(f_82,axiom,
divide(identity,b) = d,
file(unknown,unknown) ).
tff(f_83,axiom,
divide(identity,c) = e,
file(unknown,unknown) ).
tff(f_81,axiom,
divide(identity,a) = c,
file(unknown,unknown) ).
tff(f_86,axiom,
divide(c,g) != divide(d,e),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_5,Y_6] : less_equal(divide(X_5,Y_6),X_5),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_64,plain,
! [X_20,Y_21] :
( ( divide(X_20,Y_21) = zero )
| ~ less_equal(X_20,Y_21) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_78,plain,
! [X_5,Y_6] : ( divide(divide(X_5,Y_6),X_5) = zero ),
inference(resolution,[status(thm)],[c_6,c_64]) ).
tff(c_10,plain,
! [X_10] : less_equal(zero,X_10),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_79,plain,
! [X_10] : ( divide(zero,X_10) = zero ),
inference(resolution,[status(thm)],[c_10,c_64]) ).
tff(c_193,plain,
! [X_29,Z_30,Y_31] : less_equal(divide(divide(X_29,Z_30),divide(Y_31,Z_30)),divide(divide(X_29,Y_31),Z_30)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_12,plain,
! [Y_12,X_11] :
( ( Y_12 = X_11 )
| ~ less_equal(Y_12,X_11)
| ~ less_equal(X_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_3441,plain,
! [X_75,Z_76,Y_77] :
( ( divide(divide(X_75,Z_76),divide(Y_77,Z_76)) = divide(divide(X_75,Y_77),Z_76) )
| ~ less_equal(divide(divide(X_75,Y_77),Z_76),divide(divide(X_75,Z_76),divide(Y_77,Z_76))) ),
inference(resolution,[status(thm)],[c_193,c_12]) ).
tff(c_3662,plain,
! [X_5,Y_6,Z_76] :
( ( divide(divide(divide(X_5,Y_6),Z_76),divide(X_5,Z_76)) = divide(divide(divide(X_5,Y_6),X_5),Z_76) )
| ~ less_equal(divide(zero,Z_76),divide(divide(divide(X_5,Y_6),Z_76),divide(X_5,Z_76))) ),
inference(superposition,[status(thm),theory(equality)],[c_78,c_3441]) ).
tff(c_3849,plain,
! [X_5,Y_6,Z_76] : ( divide(divide(divide(X_5,Y_6),Z_76),divide(X_5,Z_76)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_79,c_79,c_78,c_3662]) ).
tff(c_1223,plain,
! [X_51,Y_52] : less_equal(divide(divide(X_51,X_51),divide(Y_52,X_51)),zero),
inference(superposition,[status(thm),theory(equality)],[c_78,c_193]) ).
tff(c_1381,plain,
! [X_54] : less_equal(divide(divide(X_54,X_54),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_78,c_1223]) ).
tff(c_4,plain,
! [X_3,Y_4] :
( less_equal(X_3,Y_4)
| ( divide(X_3,Y_4) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_162,plain,
! [Y_26,X_27] :
( ( Y_26 = X_27 )
| ~ less_equal(Y_26,X_27)
| ~ less_equal(X_27,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_171,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ~ less_equal(Y_4,X_3)
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_162]) ).
tff(c_1384,plain,
! [X_54] :
( ( divide(divide(X_54,X_54),zero) = zero )
| ( divide(zero,divide(divide(X_54,X_54),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_1381,c_171]) ).
tff(c_1431,plain,
! [X_55] : ( divide(divide(X_55,X_55),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1384]) ).
tff(c_175,plain,
! [X_28] :
( ( zero = X_28 )
| ~ less_equal(X_28,zero) ),
inference(resolution,[status(thm)],[c_10,c_162]) ).
tff(c_188,plain,
! [X_3] :
( ( zero = X_3 )
| ( divide(X_3,zero) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_175]) ).
tff(c_1493,plain,
! [X_55] : ( divide(X_55,X_55) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_1431,c_188]) ).
tff(c_6481,plain,
! [X_90,X_91] : less_equal(divide(divide(X_90,X_91),zero),divide(divide(X_90,zero),X_91)),
inference(superposition,[status(thm),theory(equality)],[c_79,c_193]) ).
tff(c_7663,plain,
! [X_99] : less_equal(divide(divide(X_99,divide(X_99,zero)),zero),zero),
inference(superposition,[status(thm),theory(equality)],[c_1493,c_6481]) ).
tff(c_7666,plain,
! [X_99] :
( ( divide(divide(X_99,divide(X_99,zero)),zero) = zero )
| ( divide(zero,divide(divide(X_99,divide(X_99,zero)),zero)) != zero ) ),
inference(resolution,[status(thm)],[c_7663,c_171]) ).
tff(c_7712,plain,
! [X_100] : ( divide(divide(X_100,divide(X_100,zero)),zero) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_7666]) ).
tff(c_7948,plain,
! [X_101] : ( divide(X_101,divide(X_101,zero)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_7712,c_188]) ).
tff(c_861,plain,
! [X_43,Y_44] :
( ( divide(X_43,Y_44) = X_43 )
| ~ less_equal(X_43,divide(X_43,Y_44)) ),
inference(resolution,[status(thm)],[c_6,c_162]) ).
tff(c_931,plain,
! [X_3,Y_44] :
( ( divide(X_3,Y_44) = X_3 )
| ( divide(X_3,divide(X_3,Y_44)) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_861]) ).
tff(c_8175,plain,
! [X_101] : ( divide(X_101,zero) = X_101 ),
inference(superposition,[status(thm),theory(equality)],[c_7948,c_931]) ).
tff(c_204,plain,
! [X_29,X_5,Y_6] : less_equal(divide(divide(X_29,X_5),zero),divide(divide(X_29,divide(X_5,Y_6)),X_5)),
inference(superposition,[status(thm),theory(equality)],[c_78,c_193]) ).
tff(c_46009,plain,
! [X_373,X_374,Y_375] : less_equal(divide(X_373,X_374),divide(divide(X_373,divide(X_374,Y_375)),X_374)),
inference(demodulation,[status(thm),theory(equality)],[c_8175,c_204]) ).
tff(c_59590,plain,
! [X_424,X_425] : less_equal(divide(X_424,X_425),divide(divide(X_424,X_425),X_425)),
inference(superposition,[status(thm),theory(equality)],[c_8175,c_46009]) ).
tff(c_59593,plain,
! [X_424,X_425] :
( ( divide(divide(X_424,X_425),X_425) = divide(X_424,X_425) )
| ( divide(divide(divide(X_424,X_425),X_425),divide(X_424,X_425)) != zero ) ),
inference(resolution,[status(thm)],[c_59590,c_171]) ).
tff(c_60490,plain,
! [X_426,X_427] : ( divide(divide(X_426,X_427),X_427) = divide(X_426,X_427) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_59593]) ).
tff(c_14,plain,
! [X_13] : less_equal(X_13,identity),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_80,plain,
! [X_13] : ( divide(X_13,identity) = zero ),
inference(resolution,[status(thm)],[c_14,c_64]) ).
tff(c_24,plain,
divide(identity,d) = g,
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_251,plain,
! [X_29] : less_equal(divide(divide(X_29,d),g),divide(divide(X_29,identity),d)),
inference(superposition,[status(thm),theory(equality)],[c_24,c_193]) ).
tff(c_606,plain,
! [X_39] : less_equal(divide(divide(X_39,d),g),zero),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_80,c_251]) ).
tff(c_173,plain,
! [X_10] :
( ( zero = X_10 )
| ~ less_equal(X_10,zero) ),
inference(resolution,[status(thm)],[c_10,c_162]) ).
tff(c_630,plain,
! [X_39] : ( divide(divide(X_39,d),g) = zero ),
inference(resolution,[status(thm)],[c_606,c_173]) ).
tff(c_20,plain,
divide(identity,b) = d,
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_269,plain,
! [X_29] : less_equal(divide(divide(X_29,b),d),divide(divide(X_29,identity),b)),
inference(superposition,[status(thm),theory(equality)],[c_20,c_193]) ).
tff(c_335,plain,
! [X_35] : less_equal(divide(divide(X_35,b),d),zero),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_80,c_269]) ).
tff(c_355,plain,
! [X_35] : ( divide(divide(X_35,b),d) = zero ),
inference(resolution,[status(thm)],[c_335,c_173]) ).
tff(c_1641,plain,
! [Y_57] : less_equal(divide(g,divide(Y_57,d)),divide(divide(identity,Y_57),d)),
inference(superposition,[status(thm),theory(equality)],[c_24,c_193]) ).
tff(c_1664,plain,
less_equal(divide(g,divide(b,d)),zero),
inference(superposition,[status(thm),theory(equality)],[c_355,c_1641]) ).
tff(c_1703,plain,
( ( divide(g,divide(b,d)) = zero )
| ( divide(zero,divide(g,divide(b,d))) != zero ) ),
inference(resolution,[status(thm)],[c_1664,c_171]) ).
tff(c_1714,plain,
divide(g,divide(b,d)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1703]) ).
tff(c_955,plain,
! [Y_45,X_46] :
( ( Y_45 = X_46 )
| ~ less_equal(Y_45,X_46)
| ( divide(X_46,Y_45) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_162]) ).
tff(c_4865,plain,
! [Y_81,X_82] :
( ( Y_81 = X_82 )
| ( divide(Y_81,X_82) != zero )
| ( divide(X_82,Y_81) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_955]) ).
tff(c_4897,plain,
( ( divide(b,d) = g )
| ( divide(divide(b,d),g) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_1714,c_4865]) ).
tff(c_4951,plain,
divide(b,d) = g,
inference(demodulation,[status(thm),theory(equality)],[c_630,c_4897]) ).
tff(c_53568,plain,
! [X_401] : less_equal(divide(X_401,b),divide(divide(X_401,g),b)),
inference(superposition,[status(thm),theory(equality)],[c_4951,c_46009]) ).
tff(c_53571,plain,
! [X_401] :
( ( divide(divide(X_401,g),b) = divide(X_401,b) )
| ( divide(divide(divide(X_401,g),b),divide(X_401,b)) != zero ) ),
inference(resolution,[status(thm)],[c_53568,c_171]) ).
tff(c_53689,plain,
! [X_402] : ( divide(divide(X_402,g),b) = divide(X_402,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_53571]) ).
tff(c_53823,plain,
! [X_402] : less_equal(divide(X_402,b),divide(X_402,g)),
inference(superposition,[status(thm),theory(equality)],[c_53689,c_6]) ).
tff(c_65617,plain,
! [X_452] : less_equal(divide(X_452,b),divide(divide(X_452,b),g)),
inference(superposition,[status(thm),theory(equality)],[c_60490,c_53823]) ).
tff(c_65620,plain,
! [X_452] :
( ( divide(divide(X_452,b),g) = divide(X_452,b) )
| ( divide(divide(divide(X_452,b),g),divide(X_452,b)) != zero ) ),
inference(resolution,[status(thm)],[c_65617,c_171]) ).
tff(c_65755,plain,
! [X_452] : ( divide(divide(X_452,b),g) = divide(X_452,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_78,c_65620]) ).
tff(c_22,plain,
divide(identity,c) = e,
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_242,plain,
! [X_29] : less_equal(divide(divide(X_29,c),e),divide(divide(X_29,identity),c)),
inference(superposition,[status(thm),theory(equality)],[c_22,c_193]) ).
tff(c_487,plain,
! [X_37] : less_equal(divide(divide(X_37,c),e),zero),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_80,c_242]) ).
tff(c_507,plain,
! [X_37] : ( divide(divide(X_37,c),e) = zero ),
inference(resolution,[status(thm)],[c_487,c_173]) ).
tff(c_18,plain,
divide(identity,a) = c,
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_260,plain,
! [X_29] : less_equal(divide(divide(X_29,a),c),divide(divide(X_29,identity),a)),
inference(superposition,[status(thm),theory(equality)],[c_18,c_193]) ).
tff(c_678,plain,
! [X_40] : less_equal(divide(divide(X_40,a),c),zero),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_80,c_260]) ).
tff(c_683,plain,
! [X_40] :
( ( divide(divide(X_40,a),c) = zero )
| ~ less_equal(zero,divide(divide(X_40,a),c)) ),
inference(resolution,[status(thm)],[c_678,c_12]) ).
tff(c_701,plain,
! [X_40] : ( divide(divide(X_40,a),c) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_683]) ).
tff(c_1935,plain,
! [Y_59] : less_equal(divide(e,divide(Y_59,c)),divide(divide(identity,Y_59),c)),
inference(superposition,[status(thm),theory(equality)],[c_22,c_193]) ).
tff(c_1958,plain,
less_equal(divide(e,divide(a,c)),zero),
inference(superposition,[status(thm),theory(equality)],[c_701,c_1935]) ).
tff(c_1997,plain,
( ( divide(e,divide(a,c)) = zero )
| ( divide(zero,divide(e,divide(a,c))) != zero ) ),
inference(resolution,[status(thm)],[c_1958,c_171]) ).
tff(c_2008,plain,
divide(e,divide(a,c)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1997]) ).
tff(c_4891,plain,
( ( divide(a,c) = e )
| ( divide(divide(a,c),e) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_2008,c_4865]) ).
tff(c_4946,plain,
divide(a,c) = e,
inference(demodulation,[status(thm),theory(equality)],[c_507,c_4891]) ).
tff(c_61621,plain,
! [X_429] : less_equal(divide(X_429,a),divide(divide(X_429,e),a)),
inference(superposition,[status(thm),theory(equality)],[c_4946,c_46009]) ).
tff(c_61624,plain,
! [X_429] :
( ( divide(divide(X_429,e),a) = divide(X_429,a) )
| ( divide(divide(divide(X_429,e),a),divide(X_429,a)) != zero ) ),
inference(resolution,[status(thm)],[c_61621,c_171]) ).
tff(c_61723,plain,
! [X_429] : ( divide(divide(X_429,e),a) = divide(X_429,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_61624]) ).
tff(c_3650,plain,
! [X_35,Z_76] :
( ( divide(divide(divide(X_35,b),Z_76),divide(d,Z_76)) = divide(divide(divide(X_35,b),d),Z_76) )
| ~ less_equal(divide(zero,Z_76),divide(divide(divide(X_35,b),Z_76),divide(d,Z_76))) ),
inference(superposition,[status(thm),theory(equality)],[c_355,c_3441]) ).
tff(c_3843,plain,
! [X_35,Z_76] : ( divide(divide(divide(X_35,b),Z_76),divide(d,Z_76)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_79,c_79,c_355,c_3650]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( ( divide(X_1,Y_2) = zero )
| ~ less_equal(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2908,plain,
! [X_70,Z_71,Y_72] : ( divide(divide(divide(X_70,Z_71),divide(Y_72,Z_71)),divide(divide(X_70,Y_72),Z_71)) = zero ),
inference(resolution,[status(thm)],[c_193,c_2]) ).
tff(c_40713,plain,
! [Z_323] : ( divide(divide(divide(identity,Z_323),divide(c,Z_323)),divide(e,Z_323)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_2908]) ).
tff(c_40848,plain,
divide(divide(d,divide(c,b)),divide(e,b)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_20,c_40713]) ).
tff(c_3157,plain,
! [X_70,X_5,Y_6] : ( divide(divide(divide(X_70,X_5),zero),divide(divide(X_70,divide(X_5,Y_6)),X_5)) = zero ),
inference(superposition,[status(thm),theory(equality)],[c_78,c_2908]) ).
tff(c_48709,plain,
! [X_386,X_387,Y_388] : ( divide(divide(X_386,X_387),divide(divide(X_386,divide(X_387,Y_388)),X_387)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_8175,c_3157]) ).
tff(c_49060,plain,
divide(divide(divide(d,divide(c,b)),e),divide(zero,e)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_40848,c_48709]) ).
tff(c_49567,plain,
divide(divide(d,divide(c,b)),e) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_8175,c_79,c_49060]) ).
tff(c_274,plain,
! [X_29,Z_30,Y_31] : ( divide(divide(divide(X_29,Z_30),divide(Y_31,Z_30)),divide(divide(X_29,Y_31),Z_30)) = zero ),
inference(resolution,[status(thm)],[c_193,c_2]) ).
tff(c_3462,plain,
! [X_29,Z_30,Y_31] :
( ( divide(divide(divide(X_29,Z_30),divide(divide(X_29,Y_31),Z_30)),divide(divide(Y_31,Z_30),divide(divide(X_29,Y_31),Z_30))) = divide(divide(divide(X_29,Z_30),divide(Y_31,Z_30)),divide(divide(X_29,Y_31),Z_30)) )
| ~ less_equal(zero,divide(divide(divide(X_29,Z_30),divide(divide(X_29,Y_31),Z_30)),divide(divide(Y_31,Z_30),divide(divide(X_29,Y_31),Z_30)))) ),
inference(superposition,[status(thm),theory(equality)],[c_274,c_3441]) ).
tff(c_55674,plain,
! [X_412,Z_413,Y_414] : ( divide(divide(divide(X_412,Z_413),divide(divide(X_412,Y_414),Z_413)),divide(divide(Y_414,Z_413),divide(divide(X_412,Y_414),Z_413))) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_274,c_3462]) ).
tff(c_56129,plain,
divide(divide(divide(d,e),zero),divide(divide(divide(c,b),e),divide(divide(d,divide(c,b)),e))) = zero,
inference(superposition,[status(thm),theory(equality)],[c_49567,c_55674]) ).
tff(c_57575,plain,
divide(divide(d,e),divide(divide(c,b),e)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_8175,c_49567,c_8175,c_56129]) ).
tff(c_972,plain,
! [Y_4,X_3] :
( ( Y_4 = X_3 )
| ( divide(Y_4,X_3) != zero )
| ( divide(X_3,Y_4) != zero ) ),
inference(resolution,[status(thm)],[c_4,c_955]) ).
tff(c_125774,plain,
( ( divide(divide(c,b),e) = divide(d,e) )
| ( divide(divide(divide(c,b),e),divide(d,e)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_57575,c_972]) ).
tff(c_125906,plain,
divide(divide(c,b),e) = divide(d,e),
inference(demodulation,[status(thm),theory(equality)],[c_3843,c_125774]) ).
tff(c_126319,plain,
divide(divide(d,e),a) = divide(divide(c,b),a),
inference(superposition,[status(thm),theory(equality)],[c_125906,c_61723]) ).
tff(c_126456,plain,
divide(divide(c,b),a) = divide(d,a),
inference(demodulation,[status(thm),theory(equality)],[c_61723,c_126319]) ).
tff(c_127002,plain,
divide(divide(d,a),divide(c,b)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_126456,c_78]) ).
tff(c_53662,plain,
! [X_401] : ( divide(divide(X_401,g),b) = divide(X_401,b) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_53571]) ).
tff(c_3626,plain,
! [X_40,Z_76] :
( ( divide(divide(divide(X_40,a),Z_76),divide(c,Z_76)) = divide(divide(divide(X_40,a),c),Z_76) )
| ~ less_equal(divide(zero,Z_76),divide(divide(divide(X_40,a),Z_76),divide(c,Z_76))) ),
inference(superposition,[status(thm),theory(equality)],[c_701,c_3441]) ).
tff(c_3831,plain,
! [X_40,Z_76] : ( divide(divide(divide(X_40,a),Z_76),divide(c,Z_76)) = zero ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_79,c_79,c_701,c_3626]) ).
tff(c_2348,plain,
! [Y_62] : less_equal(divide(c,divide(Y_62,a)),divide(divide(identity,Y_62),a)),
inference(superposition,[status(thm),theory(equality)],[c_18,c_193]) ).
tff(c_30029,plain,
! [Y_250] : ( divide(divide(c,divide(Y_250,a)),divide(divide(identity,Y_250),a)) = zero ),
inference(resolution,[status(thm)],[c_2348,c_2]) ).
tff(c_30143,plain,
divide(divide(c,divide(d,a)),divide(g,a)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_24,c_30029]) ).
tff(c_49114,plain,
divide(divide(divide(c,divide(d,a)),g),divide(zero,g)) = zero,
inference(superposition,[status(thm),theory(equality)],[c_30143,c_48709]) ).
tff(c_49583,plain,
divide(divide(c,divide(d,a)),g) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_8175,c_79,c_49114]) ).
tff(c_273,plain,
! [X_29,Z_30,Y_31] :
( ( divide(divide(X_29,Z_30),divide(Y_31,Z_30)) = divide(divide(X_29,Y_31),Z_30) )
| ~ less_equal(divide(divide(X_29,Y_31),Z_30),divide(divide(X_29,Z_30),divide(Y_31,Z_30))) ),
inference(resolution,[status(thm)],[c_193,c_12]) ).
tff(c_52902,plain,
( ( divide(divide(c,g),divide(divide(d,a),g)) = divide(divide(c,divide(d,a)),g) )
| ~ less_equal(zero,divide(divide(c,g),divide(divide(d,a),g))) ),
inference(superposition,[status(thm),theory(equality)],[c_49583,c_273]) ).
tff(c_52968,plain,
divide(divide(c,g),divide(divide(d,a),g)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_49583,c_52902]) ).
tff(c_137579,plain,
( ( divide(divide(d,a),g) = divide(c,g) )
| ( divide(divide(divide(d,a),g),divide(c,g)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_52968,c_972]) ).
tff(c_137711,plain,
divide(divide(d,a),g) = divide(c,g),
inference(demodulation,[status(thm),theory(equality)],[c_3831,c_137579]) ).
tff(c_138143,plain,
divide(divide(d,a),b) = divide(divide(c,g),b),
inference(superposition,[status(thm),theory(equality)],[c_137711,c_53662]) ).
tff(c_138263,plain,
divide(divide(d,a),b) = divide(c,b),
inference(demodulation,[status(thm),theory(equality)],[c_53662,c_138143]) ).
tff(c_138743,plain,
( ( divide(divide(d,a),b) = divide(d,a) )
| ( divide(divide(d,a),divide(c,b)) != zero ) ),
inference(superposition,[status(thm),theory(equality)],[c_138263,c_931]) ).
tff(c_138859,plain,
divide(d,a) = divide(c,b),
inference(demodulation,[status(thm),theory(equality)],[c_127002,c_138263,c_138743]) ).
tff(c_138874,plain,
divide(divide(c,b),g) = divide(c,g),
inference(demodulation,[status(thm),theory(equality)],[c_138859,c_137711]) ).
tff(c_138888,plain,
divide(c,g) = divide(c,b),
inference(demodulation,[status(thm),theory(equality)],[c_65755,c_138874]) ).
tff(c_26,plain,
divide(d,e) != divide(c,g),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_139232,plain,
divide(d,e) != divide(c,b),
inference(demodulation,[status(thm),theory(equality)],[c_138888,c_26]) ).
tff(c_46012,plain,
! [X_373,X_374,Y_375] :
( ( divide(divide(X_373,divide(X_374,Y_375)),X_374) = divide(X_373,X_374) )
| ( divide(divide(divide(X_373,divide(X_374,Y_375)),X_374),divide(X_373,X_374)) != zero ) ),
inference(resolution,[status(thm)],[c_46009,c_171]) ).
tff(c_46621,plain,
! [X_373,X_374,Y_375] : ( divide(divide(X_373,divide(X_374,Y_375)),X_374) = divide(X_373,X_374) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_46012]) ).
tff(c_125727,plain,
divide(divide(d,e),divide(c,b)) = divide(zero,divide(c,b)),
inference(superposition,[status(thm),theory(equality)],[c_57575,c_46621]) ).
tff(c_125888,plain,
divide(divide(d,e),divide(c,b)) = zero,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_125727]) ).
tff(c_61752,plain,
! [X_430] : ( divide(divide(X_430,e),a) = divide(X_430,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_3849,c_61624]) ).
tff(c_61911,plain,
! [X_430] : less_equal(divide(X_430,a),divide(X_430,e)),
inference(superposition,[status(thm),theory(equality)],[c_61752,c_6]) ).
tff(c_139020,plain,
less_equal(divide(c,b),divide(d,e)),
inference(superposition,[status(thm),theory(equality)],[c_138859,c_61911]) ).
tff(c_139508,plain,
( ( divide(d,e) = divide(c,b) )
| ( divide(divide(d,e),divide(c,b)) != zero ) ),
inference(resolution,[status(thm)],[c_139020,c_171]) ).
tff(c_139516,plain,
divide(d,e) = divide(c,b),
inference(demodulation,[status(thm),theory(equality)],[c_125888,c_139508]) ).
tff(c_139518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139232,c_139516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HEN011-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % 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
% 0.14/0.35 % Computer : n023.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 13:26:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 39.74/26.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.74/26.30
% 39.74/26.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.04/26.35
% 40.04/26.35 Inference rules
% 40.04/26.35 ----------------------
% 40.04/26.35 #Ref : 0
% 40.04/26.35 #Sup : 34772
% 40.04/26.35 #Fact : 0
% 40.04/26.35 #Define : 0
% 40.04/26.35 #Split : 9
% 40.04/26.35 #Chain : 0
% 40.04/26.35 #Close : 0
% 40.04/26.35
% 40.04/26.35 Ordering : KBO
% 40.04/26.35
% 40.04/26.35 Simplification rules
% 40.04/26.35 ----------------------
% 40.04/26.35 #Subsume : 1138
% 40.04/26.35 #Demod : 68903
% 40.04/26.35 #Tautology : 22995
% 40.04/26.35 #SimpNegUnit : 251
% 40.04/26.35 #BackRed : 222
% 40.04/26.35
% 40.04/26.35 #Partial instantiations: 0
% 40.04/26.35 #Strategies tried : 1
% 40.04/26.35
% 40.04/26.35 Timing (in seconds)
% 40.04/26.35 ----------------------
% 40.04/26.35 Preprocessing : 0.45
% 40.04/26.35 Parsing : 0.24
% 40.04/26.35 CNF conversion : 0.02
% 40.04/26.35 Main loop : 24.79
% 40.04/26.35 Inferencing : 2.16
% 40.04/26.36 Reduction : 19.35
% 40.04/26.36 Demodulation : 18.34
% 40.04/26.36 BG Simplification : 0.14
% 40.04/26.36 Subsumption : 2.50
% 40.04/26.36 Abstraction : 0.30
% 40.04/26.36 MUC search : 0.00
% 40.04/26.36 Cooper : 0.00
% 40.04/26.36 Total : 25.33
% 40.04/26.36 Index Insertion : 0.00
% 40.04/26.36 Index Deletion : 0.00
% 40.04/26.36 Index Matching : 0.00
% 40.04/26.36 BG Taut test : 0.00
%------------------------------------------------------------------------------