%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD030-4 : 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/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 : n002.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 06:10:43 PM UTC 2025
% Result : Unsatisfiable 4.48s 2.18s
% Output : CNFRefutation 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 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 : 25 ( 25 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > d > 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(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(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_256,axiom,
~ product(d,b,c),
file(unknown,unknown) ).
tff(f_254,axiom,
product(multiplicative_identity,a,d),
file(unknown,unknown) ).
tff(f_122,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_250,axiom,
defined(b),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_253,axiom,
product(a,b,c),
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(c_66,plain,
~ product(d,b,c),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_64,plain,
product(multiplicative_identity,a,d),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_88,plain,
! [X_87,Y_88,Z_89] :
( ~ product(X_87,Y_88,Z_89)
| product(Y_88,X_87,Z_89) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_96,plain,
product(a,multiplicative_identity,d),
inference(resolution,[status(thm)],[c_64,c_88]) ).
tff(c_56,plain,
defined(b),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_62,plain,
product(a,b,c),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_271,plain,
! [W_125,V_126,Z_122,U_123,X_124,Y_121] :
( ~ product(X_124,V_126,W_125)
| ~ product(Y_121,Z_122,V_126)
| ~ product(X_124,Y_121,U_123)
| product(U_123,Z_122,W_125) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_411,plain,
! [Y_140,Z_141,U_142] :
( ~ product(Y_140,Z_141,b)
| ~ product(a,Y_140,U_142)
| product(U_142,Z_141,c) ),
inference(resolution,[status(thm)],[c_62,c_271]) ).
tff(c_417,plain,
! [U_142] :
( ~ product(a,multiplicative_identity,U_142)
| product(U_142,b,c)
| ~ defined(b) ),
inference(resolution,[status(thm)],[c_16,c_411]) ).
tff(c_577,plain,
! [U_156] :
( ~ product(a,multiplicative_identity,U_156)
| product(U_156,b,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_417]) ).
tff(c_588,plain,
product(d,b,c),
inference(resolution,[status(thm)],[c_96,c_577]) ).
tff(c_601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD030-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.13 % 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
% 0.13/0.34 % Computer : n002.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 18:45:16 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.48/2.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.48/2.19
% 4.48/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------