TSTP Solution File: RNG001-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG001-1 : 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/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 : n032.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 10:54:40 EDT 2023
% Result : Unsatisfiable 17.51s 7.99s
% Output : CNFRefutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 14 unt; 7 typ; 0 def)
% Number of atoms : 77 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 42 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 5 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 95 (; 95 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > add > #nlpp > additive_inverse > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_50,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_119,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ product(X,V3,V4)
| sum(V1,V2,V4) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file(unknown,unknown) ).
tff(f_78,axiom,
! [W,U,Z,X,Y,V] :
( ~ sum(X,Y,U)
| ~ sum(Y,Z,V)
| ~ sum(X,V,W)
| sum(U,Z,W) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_182,axiom,
~ product(a,additive_identity,additive_identity),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_4,plain,
! [X_2] : sum(X_2,additive_identity,X_2),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_832,plain,
! [V4_160,V2_164,X_165,Y_161,Z_162,V1_163,V3_159] :
( sum(V1_163,V2_164,V4_160)
| ~ product(X_165,V3_159,V4_160)
| ~ sum(Y_161,Z_162,V3_159)
| ~ product(X_165,Z_162,V2_164)
| ~ product(X_165,Y_161,V1_163) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_11110,plain,
! [X_446,V2_444,V1_443,Y_445,Y_447,Z_442] :
( sum(V1_443,V2_444,multiply(X_446,Y_447))
| ~ sum(Y_445,Z_442,Y_447)
| ~ product(X_446,Z_442,V2_444)
| ~ product(X_446,Y_445,V1_443) ),
inference(resolution,[status(thm)],[c_6,c_832]) ).
tff(c_66616,plain,
! [V1_983,V2_984,X_985,X_986] :
( sum(V1_983,V2_984,multiply(X_985,X_986))
| ~ product(X_985,additive_identity,V2_984)
| ~ product(X_985,X_986,V1_983) ),
inference(resolution,[status(thm)],[c_4,c_11110]) ).
tff(c_12,plain,
! [X_8] : sum(X_8,additive_inverse(X_8),additive_identity),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_287,plain,
! [Y_108,U_106,Z_104,W_103,X_105,V_107] :
( sum(U_106,Z_104,W_103)
| ~ sum(X_105,V_107,W_103)
| ~ sum(Y_108,Z_104,V_107)
| ~ sum(X_105,Y_108,U_106) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_521,plain,
! [U_128,Z_129,X_130,Y_131] :
( sum(U_128,Z_129,X_130)
| ~ sum(Y_131,Z_129,additive_identity)
| ~ sum(X_130,Y_131,U_128) ),
inference(resolution,[status(thm)],[c_4,c_287]) ).
tff(c_565,plain,
! [U_140,X_141,X_142] :
( sum(U_140,additive_inverse(X_141),X_142)
| ~ sum(X_142,X_141,U_140) ),
inference(resolution,[status(thm)],[c_12,c_521]) ).
tff(c_2,plain,
! [X_1] : sum(additive_identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_68,plain,
! [V_85,U_86,X_87,Y_88] :
( ( V_85 = U_86 )
| ~ sum(X_87,Y_88,V_85)
| ~ sum(X_87,Y_88,U_86) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_85,plain,
! [X_1,U_86] :
( ( X_1 = U_86 )
| ~ sum(additive_identity,X_1,U_86) ),
inference(resolution,[status(thm)],[c_2,c_68]) ).
tff(c_631,plain,
! [X_145,X_146] :
( ( additive_inverse(X_145) = X_146 )
| ~ sum(X_146,X_145,additive_identity) ),
inference(resolution,[status(thm)],[c_565,c_85]) ).
tff(c_653,plain,
! [X_8] : ( additive_inverse(additive_inverse(X_8)) = X_8 ),
inference(resolution,[status(thm)],[c_12,c_631]) ).
tff(c_533,plain,
! [U_128,X_8,X_130] :
( sum(U_128,additive_inverse(X_8),X_130)
| ~ sum(X_130,X_8,U_128) ),
inference(resolution,[status(thm)],[c_12,c_521]) ).
tff(c_18,plain,
! [Y_22,X_21,Z_23] :
( sum(Y_22,X_21,Z_23)
| ~ sum(X_21,Y_22,Z_23) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_7952,plain,
! [X_365,U_366,X_367] :
( sum(additive_inverse(X_365),U_366,X_367)
| ~ sum(X_367,X_365,U_366) ),
inference(resolution,[status(thm)],[c_565,c_18]) ).
tff(c_84,plain,
! [U_86,X_8] :
( ( additive_identity = U_86 )
| ~ sum(X_8,additive_inverse(X_8),U_86) ),
inference(resolution,[status(thm)],[c_12,c_68]) ).
tff(c_602,plain,
! [X_142,X_141] :
( ( additive_identity = X_142 )
| ~ sum(X_142,X_141,X_141) ),
inference(resolution,[status(thm)],[c_565,c_84]) ).
tff(c_8122,plain,
! [X_368,X_369] :
( ( additive_inverse(X_368) = additive_identity )
| ~ sum(X_369,X_368,X_369) ),
inference(resolution,[status(thm)],[c_7952,c_602]) ).
tff(c_8178,plain,
! [X_8,X_130] :
( ( additive_inverse(additive_inverse(X_8)) = additive_identity )
| ~ sum(X_130,X_8,X_130) ),
inference(resolution,[status(thm)],[c_533,c_8122]) ).
tff(c_8217,plain,
! [X_8,X_130] :
( ( additive_identity = X_8 )
| ~ sum(X_130,X_8,X_130) ),
inference(demodulation,[status(thm),theory(equality)],[c_653,c_8178]) ).
tff(c_66880,plain,
! [V2_984,X_985,X_986] :
( ( additive_identity = V2_984 )
| ~ product(X_985,additive_identity,V2_984)
| ~ product(X_985,X_986,multiply(X_985,X_986)) ),
inference(resolution,[status(thm)],[c_66616,c_8217]) ).
tff(c_67111,plain,
! [V2_987,X_988] :
( ( additive_identity = V2_987 )
| ~ product(X_988,additive_identity,V2_987) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_66880]) ).
tff(c_67143,plain,
! [X_989] : ( multiply(X_989,additive_identity) = additive_identity ),
inference(resolution,[status(thm)],[c_6,c_67111]) ).
tff(c_67164,plain,
! [X_989] : product(X_989,additive_identity,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_67143,c_6]) ).
tff(c_36,plain,
~ product(a,additive_identity,additive_identity),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_67175,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67164,c_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 3 18:02:36 EDT 2023
% 0.15/0.31 % CPUTime :
% 17.51/7.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.51/8.00
% 17.51/8.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.51/8.03
% 17.51/8.03 Inference rules
% 17.51/8.03 ----------------------
% 17.51/8.03 #Ref : 0
% 17.51/8.03 #Sup : 16722
% 17.51/8.03 #Fact : 0
% 17.51/8.03 #Define : 0
% 17.51/8.03 #Split : 0
% 17.51/8.03 #Chain : 0
% 17.51/8.03 #Close : 0
% 17.51/8.03
% 17.51/8.03 Ordering : KBO
% 17.51/8.03
% 17.51/8.03 Simplification rules
% 17.51/8.03 ----------------------
% 17.51/8.03 #Subsume : 4199
% 17.51/8.03 #Demod : 9317
% 17.51/8.03 #Tautology : 3720
% 17.51/8.03 #SimpNegUnit : 0
% 17.51/8.03 #BackRed : 16
% 17.51/8.03
% 17.51/8.03 #Partial instantiations: 0
% 17.51/8.03 #Strategies tried : 1
% 17.51/8.03
% 17.51/8.03 Timing (in seconds)
% 17.51/8.03 ----------------------
% 17.51/8.03 Preprocessing : 0.50
% 17.51/8.03 Parsing : 0.29
% 17.51/8.03 CNF conversion : 0.03
% 17.51/8.03 Main loop : 6.49
% 17.51/8.03 Inferencing : 1.08
% 17.51/8.03 Reduction : 2.10
% 17.51/8.03 Demodulation : 1.76
% 17.51/8.03 BG Simplification : 0.10
% 17.51/8.03 Subsumption : 2.73
% 17.51/8.03 Abstraction : 0.12
% 17.51/8.03 MUC search : 0.00
% 17.51/8.03 Cooper : 0.00
% 17.51/8.03 Total : 7.04
% 17.51/8.03 Index Insertion : 0.00
% 17.51/8.03 Index Deletion : 0.00
% 17.51/8.03 Index Matching : 0.00
% 17.51/8.03 BG Taut test : 0.00
%------------------------------------------------------------------------------