%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT019-3 : 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 : n020.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 05:46:32 PM UTC 2025
% Result : Unsatisfiable 4.01s 1.94s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 10 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equivalent > there_exists > f1 > compose > #nlpp > domain > codomain > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(equivalent,type,
equivalent: ( $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(domain,type,
domain: $i > $i ).
tff(there_exists,type,
there_exists: $i > $o ).
tff(b,type,
b: $i ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f1,type,
f1: ( $i * $i ) > $i ).
tff(f_178,axiom,
a != b,
file(unknown,unknown) ).
tff(f_143,axiom,
! [X,Y] :
( ( X = f1(X,Y) )
| ( Y = f1(X,Y) )
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
! [X,Y] :
( there_exists(f1(X,Y))
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_168,axiom,
! [Z] :
( ~ there_exists(Z)
| ( a != Z )
| ( b = Z ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
! [Z] :
( ~ there_exists(Z)
| ( a = Z )
| ( b != Z ) ),
file(unknown,unknown) ).
tff(c_40,plain,
b != a,
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_397,plain,
! [Y_70,X_71] :
( ( Y_70 = X_71 )
| ( f1(X_71,Y_70) = Y_70 )
| ( f1(X_71,Y_70) = X_71 ) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_30,plain,
! [Y_27,X_26] :
( ( Y_27 = X_26 )
| there_exists(f1(X_26,Y_27)) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_941,plain,
! [Y_89,X_90] :
( ( Y_89 = X_90 )
| there_exists(X_90)
| ( Y_89 = X_90 )
| ( f1(X_90,Y_89) = Y_89 ) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_30]) ).
tff(c_36,plain,
( ( b = a )
| ~ there_exists(a) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_42,plain,
~ there_exists(a),
inference(negUnitSimplification,[status(thm)],[c_40,c_36]) ).
tff(c_1007,plain,
! [Y_91] :
( ( a = Y_91 )
| ( f1(a,Y_91) = Y_91 ) ),
inference(resolution,[status(thm)],[c_941,c_42]) ).
tff(c_1110,plain,
! [Y_94] :
( ( a = Y_94 )
| there_exists(Y_94)
| ( a = Y_94 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1007,c_30]) ).
tff(c_38,plain,
( ( b = a )
| ~ there_exists(b) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_41,plain,
~ there_exists(b),
inference(negUnitSimplification,[status(thm)],[c_40,c_38]) ).
tff(c_1137,plain,
b = a,
inference(resolution,[status(thm)],[c_1110,c_41]) ).
tff(c_1150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_40,c_1137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT019-3 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 15:40:34 EDT 2025
% 0.14/0.34 % CPUTime :
% 4.01/1.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.01/1.95
% 4.01/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------