%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : FLD025-5 : 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 : n012.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 06:10:42 PM UTC 2025
% Result : Unsatisfiable 5.79s 2.35s
% Output : CNFRefutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > less_or_equal > defined > multiply > add > #nlpp > multiplicative_inverse > additive_inverse > v > u > 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(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(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_260,axiom,
~ product(multiplicative_identity,u,v),
file(unknown,unknown) ).
tff(f_249,axiom,
defined(a),
file(unknown,unknown) ).
tff(f_110,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file(unknown,unknown) ).
tff(f_122,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_256,axiom,
product(multiplicative_identity,c,d),
file(unknown,unknown) ).
tff(f_257,axiom,
product(a,c,u),
file(unknown,unknown) ).
tff(f_94,axiom,
! [W,U,Z,X,Y,V] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_255,axiom,
product(multiplicative_identity,a,b),
file(unknown,unknown) ).
tff(f_258,axiom,
product(d,b,v),
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_74,plain,
~ product(multiplicative_identity,u,v),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_54,plain,
defined(a),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_16,plain,
! [X_30] :
( ~ defined(X_30)
| product(multiplicative_identity,X_30,X_30) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_79,plain,
! [X_78,Y_79,Z_80] :
( ~ product(X_78,Y_79,Z_80)
| product(Y_79,X_78,Z_80) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_90,plain,
! [X_30] :
( product(X_30,multiplicative_identity,X_30)
| ~ defined(X_30) ),
inference(resolution,[status(thm)],[c_16,c_79]) ).
tff(c_68,plain,
product(multiplicative_identity,c,d),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_70,plain,
product(a,c,u),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_416,plain,
! [U_138,W_140,Z_139,X_141,V_142,Y_143] :
( ~ product(U_138,Z_139,W_140)
| ~ product(Y_143,Z_139,V_142)
| ~ product(X_141,Y_143,U_138)
| product(X_141,V_142,W_140) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_489,plain,
! [Y_146,V_147,X_148] :
( ~ product(Y_146,c,V_147)
| ~ product(X_148,Y_146,a)
| product(X_148,V_147,u) ),
inference(resolution,[status(thm)],[c_70,c_416]) ).
tff(c_585,plain,
! [X_157] :
( ~ product(X_157,multiplicative_identity,a)
| product(X_157,d,u) ),
inference(resolution,[status(thm)],[c_68,c_489]) ).
tff(c_589,plain,
( product(a,d,u)
| ~ defined(a) ),
inference(resolution,[status(thm)],[c_90,c_585]) ).
tff(c_592,plain,
product(a,d,u),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_589]) ).
tff(c_20,plain,
! [X_33,Y_32,Z_34] :
( ~ product(X_33,Y_32,Z_34)
| product(Y_32,X_33,Z_34) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_605,plain,
product(d,a,u),
inference(resolution,[status(thm)],[c_592,c_20]) ).
tff(c_66,plain,
product(multiplicative_identity,a,b),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_92,plain,
product(a,multiplicative_identity,b),
inference(resolution,[status(thm)],[c_66,c_79]) ).
tff(c_72,plain,
product(d,b,v),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_539,plain,
! [U_153,Z_152,W_155,V_156,X_154,Y_151] :
( ~ product(X_154,V_156,W_155)
| ~ product(Y_151,Z_152,V_156)
| ~ product(X_154,Y_151,U_153)
| product(U_153,Z_152,W_155) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_1244,plain,
! [Y_200,Z_201,U_202] :
( ~ product(Y_200,Z_201,b)
| ~ product(d,Y_200,U_202)
| product(U_202,Z_201,v) ),
inference(resolution,[status(thm)],[c_72,c_539]) ).
tff(c_1684,plain,
! [U_213] :
( ~ product(d,a,U_213)
| product(U_213,multiplicative_identity,v) ),
inference(resolution,[status(thm)],[c_92,c_1244]) ).
tff(c_1697,plain,
product(u,multiplicative_identity,v),
inference(resolution,[status(thm)],[c_605,c_1684]) ).
tff(c_1714,plain,
product(multiplicative_identity,u,v),
inference(resolution,[status(thm)],[c_1697,c_20]) ).
tff(c_1722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD025-5 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.13 % 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 : n012.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 18:43:15 EDT 2025
% 0.13/0.34 % CPUTime :
% 5.79/2.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/2.36
% 5.79/2.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------