%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT007-1 : 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/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 : n027.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 05:46:27 PM UTC 2025
% Result : Unsatisfiable 3.37s 1.92s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > b > 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(b,type,
b: $i ).
tff(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f_175,axiom,
~ defined(a,b),
file(unknown,unknown) ).
tff(f_173,axiom,
domain(a) = codomain(b),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X] : defined(X,domain(X)),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_140,axiom,
! [X] : defined(codomain(X),X),
file(unknown,unknown) ).
tff(f_131,axiom,
! [X,Y,Z] :
( ~ defined(X,Y)
| ~ defined(Y,Z)
| ~ identity_map(Y)
| defined(X,Z) ),
file(unknown,unknown) ).
tff(c_40,plain,
~ defined(a,b),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_38,plain,
domain(a) = codomain(b),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_24,plain,
! [X_41] : defined(X_41,domain(X_41)),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_48,plain,
defined(a,codomain(b)),
inference(superposition,[status(thm),theory(equality)],[c_38,c_24]) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_26,plain,
! [X_42] : defined(codomain(X_42),X_42),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_284,plain,
! [X_88,Z_89,Y_90] :
( defined(X_88,Z_89)
| ~ identity_map(Y_90)
| ~ defined(Y_90,Z_89)
| ~ defined(X_88,Y_90) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_294,plain,
! [X_88,X_42] :
( defined(X_88,X_42)
| ~ identity_map(codomain(X_42))
| ~ defined(X_88,codomain(X_42)) ),
inference(resolution,[status(thm)],[c_26,c_284]) ).
tff(c_505,plain,
! [X_107,X_108] :
( defined(X_107,X_108)
| ~ defined(X_107,codomain(X_108)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_294]) ).
tff(c_517,plain,
defined(a,b),
inference(resolution,[status(thm)],[c_48,c_505]) ).
tff(c_527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT007-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % 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
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 15:38:06 EDT 2025
% 0.13/0.33 % CPUTime :
% 3.37/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.92
% 3.37/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------