%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT013-1 : 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 : n009.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 05:46:29 PM UTC 2025
% Result : Unsatisfiable 3.62s 2.26s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(domain,type,
domain: $i > $i ).
tff(defined,type,
defined: ( $i * $i ) > $o ).
tff(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_134,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : defined(X,domain(X)),
file(unknown,unknown) ).
tff(f_151,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_140,axiom,
! [X] : product(X,domain(X),X),
file(unknown,unknown) ).
tff(f_168,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(f_172,axiom,
domain(codomain(a)) != codomain(a),
file(unknown,unknown) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_32,plain,
! [X_45,Y_46] :
( product(X_45,Y_46,Y_46)
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_28,plain,
! [X_43] : product(X_43,domain(X_43),X_43),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_71,plain,
! [Z_68,W_69,X_70,Y_71] :
( ( Z_68 = W_69 )
| ~ product(X_70,Y_71,W_69)
| ~ product(X_70,Y_71,Z_68) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_87,plain,
! [Z_72,X_73] :
( ( Z_72 = X_73 )
| ~ product(X_73,domain(X_73),Z_72) ),
inference(resolution,[status(thm)],[c_28,c_71]) ).
tff(c_95,plain,
! [X_45] :
( ( domain(X_45) = X_45 )
| ~ identity_map(X_45)
| ~ defined(X_45,domain(X_45)) ),
inference(resolution,[status(thm)],[c_32,c_87]) ).
tff(c_129,plain,
! [X_75] :
( ( domain(X_75) = X_75 )
| ~ identity_map(X_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_95]) ).
tff(c_137,plain,
! [X_40] : ( domain(codomain(X_40)) = codomain(X_40) ),
inference(resolution,[status(thm)],[c_22,c_129]) ).
tff(c_38,plain,
domain(codomain(a)) != codomain(a),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_179,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_137,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT013-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 15:38:56 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.62/2.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.62/2.27
% 3.62/2.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------