TSTP Solution File: FLD016-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : FLD016-3 : 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 : 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 : Tue Aug 22 10:37:28 EDT 2023
% Result : Unsatisfiable 69.96s 56.98s
% Output : CNFRefutation 69.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 90 ( 28 unt; 14 typ; 0 def)
% Number of atoms : 158 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 166 ( 84 ~; 82 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 96 (; 96 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > v > u > multiplicative_identity > 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(v,type,
v: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_256,axiom,
~ sum(additive_identity,u,v),
file(unknown,unknown) ).
tff(f_252,axiom,
defined(v),
file(unknown,unknown) ).
tff(f_251,axiom,
defined(u),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_222,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file(unknown,unknown) ).
tff(f_254,axiom,
sum(a,v,b),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U,Z,X,Y,V] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file(unknown,unknown) ).
tff(f_204,axiom,
! [X,Y] :
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [W,U,Z,X,Y,V] :
( sum(X,V,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_253,axiom,
sum(a,u,b),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [W,U,Z,X,Y,V] :
( sum(U,Z,W)
| ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W) ),
file(unknown,unknown) ).
tff(c_66,plain,
~ sum(additive_identity,u,v),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_60,plain,
defined(v),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_58,plain,
defined(u),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_46,plain,
! [Y_65,X_64] :
( ~ defined(Y_65)
| ~ defined(X_64)
| less_or_equal(Y_65,X_64)
| less_or_equal(X_64,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_39377,plain,
! [Y_65] :
( ~ defined(Y_65)
| less_or_equal(Y_65,Y_65) ),
inference(factorization,[status(thm),theory(equality)],[c_46]) ).
tff(c_64,plain,
sum(a,v,b),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_39512,plain,
! [V_687,X_684,Y_686,Z_685,U_683] :
( ~ sum(Y_686,Z_685,V_687)
| ~ sum(X_684,Z_685,U_683)
| ~ less_or_equal(X_684,Y_686)
| less_or_equal(U_683,V_687) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_39549,plain,
! [X_688,U_689] :
( ~ sum(X_688,v,U_689)
| ~ less_or_equal(X_688,a)
| less_or_equal(U_689,b) ),
inference(resolution,[status(thm)],[c_64,c_39512]) ).
tff(c_39586,plain,
( ~ less_or_equal(a,a)
| less_or_equal(b,b) ),
inference(resolution,[status(thm)],[c_64,c_39549]) ).
tff(c_39631,plain,
~ less_or_equal(a,a),
inference(splitLeft,[status(thm)],[c_39586]) ).
tff(c_39634,plain,
~ defined(a),
inference(resolution,[status(thm)],[c_39377,c_39631]) ).
tff(c_39640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_39634]) ).
tff(c_39642,plain,
less_or_equal(a,a),
inference(splitRight,[status(thm)],[c_39586]) ).
tff(c_42,plain,
! [Y_60,X_59] :
( ~ less_or_equal(Y_60,X_59)
| ~ less_or_equal(X_59,Y_60)
| sum(additive_identity,X_59,Y_60) ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_39700,plain,
! [X_707,W_708,Y_704,U_706,V_705,Z_703] :
( ~ sum(U_706,Z_703,W_708)
| ~ sum(Y_704,Z_703,V_705)
| ~ sum(X_707,Y_704,U_706)
| sum(X_707,V_705,W_708) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_40195,plain,
! [Y_739,V_740,X_741] :
( ~ sum(Y_739,v,V_740)
| ~ sum(X_741,Y_739,a)
| sum(X_741,V_740,b) ),
inference(resolution,[status(thm)],[c_64,c_39700]) ).
tff(c_40277,plain,
! [X_744] :
( ~ sum(X_744,a,a)
| sum(X_744,b,b) ),
inference(resolution,[status(thm)],[c_64,c_40195]) ).
tff(c_10,plain,
! [X_16,Y_15,Z_17] :
( ~ sum(X_16,Y_15,Z_17)
| sum(Y_15,X_16,Z_17) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_40317,plain,
! [X_746] :
( sum(b,X_746,b)
| ~ sum(X_746,a,a) ),
inference(resolution,[status(thm)],[c_40277,c_10]) ).
tff(c_40320,plain,
( sum(b,additive_identity,b)
| ~ less_or_equal(a,a) ),
inference(resolution,[status(thm)],[c_42,c_40317]) ).
tff(c_40326,plain,
sum(b,additive_identity,b),
inference(demodulation,[status(thm),theory(equality)],[c_39642,c_40320]) ).
tff(c_40376,plain,
sum(additive_identity,b,b),
inference(resolution,[status(thm)],[c_40326,c_10]) ).
tff(c_8,plain,
! [X_14] :
( ~ defined(X_14)
| sum(additive_inverse(X_14),X_14,additive_identity) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_62,plain,
sum(a,u,b),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_73,plain,
! [X_82,Y_83,Z_84] :
( ~ sum(X_82,Y_83,Z_84)
| sum(Y_83,X_82,Z_84) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_85,plain,
sum(u,a,b),
inference(resolution,[status(thm)],[c_62,c_73]) ).
tff(c_6,plain,
! [X_13] :
( ~ defined(X_13)
| sum(additive_identity,X_13,X_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_42343,plain,
! [Y_800,X_801,V_802,X_803] :
( ~ sum(Y_800,X_801,V_802)
| ~ sum(X_803,Y_800,additive_identity)
| sum(X_803,V_802,X_801)
| ~ defined(X_801) ),
inference(resolution,[status(thm)],[c_6,c_39700]) ).
tff(c_42415,plain,
! [X_803] :
( ~ sum(X_803,u,additive_identity)
| sum(X_803,b,a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_85,c_42343]) ).
tff(c_42513,plain,
! [X_804] :
( ~ sum(X_804,u,additive_identity)
| sum(X_804,b,a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_42415]) ).
tff(c_42521,plain,
( sum(additive_inverse(u),b,a)
| ~ defined(u) ),
inference(resolution,[status(thm)],[c_8,c_42513]) ).
tff(c_42527,plain,
sum(additive_inverse(u),b,a),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_42521]) ).
tff(c_42563,plain,
sum(b,additive_inverse(u),a),
inference(resolution,[status(thm)],[c_42527,c_10]) ).
tff(c_39759,plain,
! [X_713,W_710,V_712,Z_709,U_711,Y_714] :
( ~ sum(X_713,V_712,W_710)
| ~ sum(Y_714,Z_709,V_712)
| ~ sum(X_713,Y_714,U_711)
| sum(U_711,Z_709,W_710) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_39793,plain,
! [Y_714,Z_709,X_13,U_711] :
( ~ sum(Y_714,Z_709,X_13)
| ~ sum(additive_identity,Y_714,U_711)
| sum(U_711,Z_709,X_13)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_6,c_39759]) ).
tff(c_42567,plain,
! [U_711] :
( ~ sum(additive_identity,b,U_711)
| sum(U_711,additive_inverse(u),a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_42563,c_39793]) ).
tff(c_57207,plain,
! [U_1054] :
( ~ sum(additive_identity,b,U_1054)
| sum(U_1054,additive_inverse(u),a) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_42567]) ).
tff(c_57292,plain,
! [U_1054] :
( sum(additive_inverse(u),U_1054,a)
| ~ sum(additive_identity,b,U_1054) ),
inference(resolution,[status(thm)],[c_57207,c_10]) ).
tff(c_42423,plain,
! [X_803] :
( ~ sum(X_803,a,additive_identity)
| sum(X_803,b,v)
| ~ defined(v) ),
inference(resolution,[status(thm)],[c_64,c_42343]) ).
tff(c_42848,plain,
! [X_810] :
( ~ sum(X_810,a,additive_identity)
| sum(X_810,b,v) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_42423]) ).
tff(c_42928,plain,
! [X_812] :
( sum(b,X_812,v)
| ~ sum(X_812,a,additive_identity) ),
inference(resolution,[status(thm)],[c_42848,c_10]) ).
tff(c_42934,plain,
( sum(b,additive_inverse(a),v)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_8,c_42928]) ).
tff(c_42940,plain,
sum(b,additive_inverse(a),v),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_42934]) ).
tff(c_82,plain,
! [X_14] :
( sum(X_14,additive_inverse(X_14),additive_identity)
| ~ defined(X_14) ),
inference(resolution,[status(thm)],[c_8,c_73]) ).
tff(c_117560,plain,
! [Y_1495,X_1496,V_1497,X_1498] :
( ~ sum(Y_1495,additive_inverse(X_1496),V_1497)
| ~ sum(X_1498,Y_1495,X_1496)
| sum(X_1498,V_1497,additive_identity)
| ~ defined(X_1496) ),
inference(resolution,[status(thm)],[c_82,c_39700]) ).
tff(c_117736,plain,
! [X_1498] :
( ~ sum(X_1498,b,a)
| sum(X_1498,v,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_42940,c_117560]) ).
tff(c_192193,plain,
! [X_1873] :
( ~ sum(X_1873,b,a)
| sum(X_1873,v,additive_identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_117736]) ).
tff(c_192438,plain,
! [X_1874] :
( sum(v,X_1874,additive_identity)
| ~ sum(X_1874,b,a) ),
inference(resolution,[status(thm)],[c_192193,c_10]) ).
tff(c_192450,plain,
( sum(v,additive_inverse(u),additive_identity)
| ~ sum(additive_identity,b,b) ),
inference(resolution,[status(thm)],[c_57292,c_192438]) ).
tff(c_192475,plain,
sum(v,additive_inverse(u),additive_identity),
inference(demodulation,[status(thm),theory(equality)],[c_40376,c_192450]) ).
tff(c_42505,plain,
! [X_803,X_14] :
( ~ sum(X_803,additive_inverse(X_14),additive_identity)
| sum(X_803,additive_identity,X_14)
| ~ defined(X_14) ),
inference(resolution,[status(thm)],[c_8,c_42343]) ).
tff(c_193100,plain,
( sum(v,additive_identity,u)
| ~ defined(u) ),
inference(resolution,[status(thm)],[c_192475,c_42505]) ).
tff(c_193185,plain,
sum(v,additive_identity,u),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_193100]) ).
tff(c_193903,plain,
sum(additive_identity,v,u),
inference(resolution,[status(thm)],[c_193185,c_10]) ).
tff(c_83,plain,
! [X_13] :
( sum(X_13,additive_identity,X_13)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_6,c_73]) ).
tff(c_41780,plain,
! [Y_787,Z_788,X_789,U_790] :
( ~ sum(Y_787,Z_788,X_789)
| ~ sum(additive_identity,Y_787,U_790)
| sum(U_790,Z_788,X_789)
| ~ defined(X_789) ),
inference(resolution,[status(thm)],[c_6,c_39759]) ).
tff(c_41917,plain,
! [X_13,U_790] :
( ~ sum(additive_identity,X_13,U_790)
| sum(U_790,additive_identity,X_13)
| ~ defined(X_13) ),
inference(resolution,[status(thm)],[c_83,c_41780]) ).
tff(c_193930,plain,
( sum(u,additive_identity,v)
| ~ defined(v) ),
inference(resolution,[status(thm)],[c_193903,c_41917]) ).
tff(c_194003,plain,
sum(u,additive_identity,v),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_193930]) ).
tff(c_194116,plain,
sum(additive_identity,u,v),
inference(resolution,[status(thm)],[c_194003,c_10]) ).
tff(c_194189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_194116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD016-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n022.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 : Thu Aug 3 19:54:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 69.96/56.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.97/57.00
% 69.97/57.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 69.97/57.04
% 69.97/57.04 Inference rules
% 69.97/57.04 ----------------------
% 69.97/57.04 #Ref : 0
% 69.97/57.04 #Sup : 42826
% 69.97/57.04 #Fact : 22
% 69.97/57.04 #Define : 0
% 69.97/57.04 #Split : 184
% 69.97/57.04 #Chain : 0
% 69.97/57.04 #Close : 0
% 69.97/57.04
% 69.97/57.04 Ordering : KBO
% 69.97/57.04
% 69.97/57.04 Simplification rules
% 69.97/57.04 ----------------------
% 69.97/57.04 #Subsume : 11902
% 69.97/57.04 #Demod : 29150
% 69.97/57.04 #Tautology : 5572
% 69.97/57.04 #SimpNegUnit : 1535
% 69.97/57.04 #BackRed : 0
% 69.97/57.04
% 69.97/57.04 #Partial instantiations: 0
% 69.97/57.04 #Strategies tried : 1
% 69.97/57.04
% 69.97/57.04 Timing (in seconds)
% 69.97/57.04 ----------------------
% 69.97/57.05 Preprocessing : 0.51
% 69.97/57.05 Parsing : 0.27
% 69.97/57.05 CNF conversion : 0.03
% 69.97/57.05 Main loop : 55.44
% 69.97/57.05 Inferencing : 5.12
% 69.97/57.05 Reduction : 28.95
% 69.97/57.05 Demodulation : 23.84
% 69.97/57.05 BG Simplification : 0.20
% 69.97/57.05 Subsumption : 17.80
% 69.97/57.05 Abstraction : 0.30
% 69.97/57.05 MUC search : 0.00
% 69.97/57.05 Cooper : 0.00
% 69.97/57.05 Total : 56.02
% 69.97/57.05 Index Insertion : 0.00
% 69.97/57.05 Index Deletion : 0.00
% 69.97/57.05 Index Matching : 0.00
% 69.97/57.05 BG Taut test : 0.00
%------------------------------------------------------------------------------