%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT014-1 : 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 : n007.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 3.39s 1.85s
% Output : CNFRefutation 3.49s
% 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_138,axiom,
! [X] : defined(codomain(X),X),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file(unknown,unknown) ).
tff(f_142,axiom,
! [X] : product(codomain(X),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,
codomain(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_26,plain,
! [X_42] : defined(codomain(X_42),X_42),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_34,plain,
! [X_47,Y_48] :
( product(X_47,Y_48,X_47)
| ~ identity_map(Y_48)
| ~ defined(X_47,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_30,plain,
! [X_44] : product(codomain(X_44),X_44,X_44),
inference(cnfTransformation,[status(thm)],[f_142]) ).
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_243,plain,
! [Z_88,X_89] :
( ( Z_88 = X_89 )
| ~ product(codomain(X_89),X_89,Z_88) ),
inference(resolution,[status(thm)],[c_30,c_71]) ).
tff(c_255,plain,
! [Y_48] :
( ( codomain(Y_48) = Y_48 )
| ~ identity_map(Y_48)
| ~ defined(codomain(Y_48),Y_48) ),
inference(resolution,[status(thm)],[c_34,c_243]) ).
tff(c_285,plain,
! [Y_91] :
( ( codomain(Y_91) = Y_91 )
| ~ identity_map(Y_91) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_255]) ).
tff(c_293,plain,
! [X_40] : ( codomain(codomain(X_40)) = codomain(X_40) ),
inference(resolution,[status(thm)],[c_22,c_285]) ).
tff(c_38,plain,
codomain(codomain(a)) != codomain(a),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_293,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT014-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 15:39:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 3.39/1.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.85
% 3.39/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------