%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG037-2 : TPTP v9.0.0. 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 : n014.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 08:31:20 PM UTC 2025
% Result : Unsatisfiable 71.42s 56.69s
% Output : CNFRefutation 71.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > equalish > multiply > add > #nlpp > additive_inverse > d > c > b > 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(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(d,type,
d: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_240,axiom,
product(a,b,d),
file(unknown,unknown) ).
tff(f_241,axiom,
product(a,additive_inverse(b),c),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| equalish(U,V) ),
file(unknown,unknown) ).
tff(f_113,axiom,
! [X] : sum(X,additive_inverse(X),additive_identity),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ sum(W,Z,X)
| sum(W,Z,Y) ),
file(unknown,unknown) ).
tff(f_239,axiom,
! [X] : product(X,additive_identity,additive_identity),
file(unknown,unknown) ).
tff(f_176,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_140,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file(unknown,unknown) ).
tff(f_243,axiom,
~ sum(c,d,additive_identity),
file(unknown,unknown) ).
tff(c_54,plain,
product(a,b,d),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_56,plain,
product(a,additive_inverse(b),c),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_20,plain,
! [X_33] : sum(X_33,additive_identity,X_33),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_201,plain,
! [U_145,V_146,X_147,Y_148] :
( equalish(U_145,V_146)
| ~ sum(X_147,Y_148,V_146)
| ~ sum(X_147,Y_148,U_145) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_223,plain,
! [U_150,X_151] :
( equalish(U_150,X_151)
| ~ sum(X_151,additive_identity,U_150) ),
inference(resolution,[status(thm)],[c_20,c_201]) ).
tff(c_248,plain,
! [X_33] : equalish(X_33,X_33),
inference(resolution,[status(thm)],[c_20,c_223]) ).
tff(c_26,plain,
! [X_38] : sum(X_38,additive_inverse(X_38),additive_identity),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_252,plain,
! [W_153,Z_154,Y_155,X_156] :
( sum(W_153,Z_154,Y_155)
| ~ sum(W_153,Z_154,X_156)
| ~ equalish(X_156,Y_155) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_269,plain,
! [X_38,Y_155] :
( sum(X_38,additive_inverse(X_38),Y_155)
| ~ equalish(additive_identity,Y_155) ),
inference(resolution,[status(thm)],[c_26,c_252]) ).
tff(c_52,plain,
! [X_103] : product(X_103,additive_identity,additive_identity),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_1131,plain,
! [V1_257,V4_261,V2_258,Y_259,V3_256,Z_260,X_262] :
( sum(V1_257,V2_258,V4_261)
| ~ product(X_262,V3_256,V4_261)
| ~ sum(Y_259,Z_260,V3_256)
| ~ product(X_262,Z_260,V2_258)
| ~ product(X_262,Y_259,V1_257) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_8846,plain,
! [Z_539,Y_535,V2_538,X_536,V1_537] :
( sum(V1_537,V2_538,additive_identity)
| ~ sum(Y_535,Z_539,additive_identity)
| ~ product(X_536,Z_539,V2_538)
| ~ product(X_536,Y_535,V1_537) ),
inference(resolution,[status(thm)],[c_52,c_1131]) ).
tff(c_8936,plain,
! [V1_537,V2_538,X_536,X_38] :
( sum(V1_537,V2_538,additive_identity)
| ~ product(X_536,additive_inverse(X_38),V2_538)
| ~ product(X_536,X_38,V1_537)
| ~ equalish(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_269,c_8846]) ).
tff(c_187691,plain,
! [V1_2216,V2_2217,X_2218,X_2219] :
( sum(V1_2216,V2_2217,additive_identity)
| ~ product(X_2218,additive_inverse(X_2219),V2_2217)
| ~ product(X_2218,X_2219,V1_2216) ),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_8936]) ).
tff(c_188623,plain,
! [V1_2222] :
( sum(V1_2222,c,additive_identity)
| ~ product(a,b,V1_2222) ),
inference(resolution,[status(thm)],[c_56,c_187691]) ).
tff(c_32,plain,
! [Y_52,X_51,Z_53] :
( sum(Y_52,X_51,Z_53)
| ~ sum(X_51,Y_52,Z_53) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_188915,plain,
! [V1_2223] :
( sum(c,V1_2223,additive_identity)
| ~ product(a,b,V1_2223) ),
inference(resolution,[status(thm)],[c_188623,c_32]) ).
tff(c_58,plain,
~ sum(c,d,additive_identity),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_189137,plain,
~ product(a,b,d),
inference(resolution,[status(thm)],[c_188915,c_58]) ).
tff(c_189245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_189137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG037-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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 : n014.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 : Tue Apr 8 18:29:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 71.42/56.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.42/56.70
% 71.42/56.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------