%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL052-2 : 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 05:47:53 PM UTC 2025
% Result : Unsatisfiable 9.16s 3.32s
% Output : CNFRefutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ agreeable > response > compose > #nlpp > compatible > common_bird > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(common_bird,type,
common_bird: $i > $i ).
tff(a,type,
a: $i ).
tff(compatible,type,
compatible: $i > $i ).
tff(b,type,
b: $i ).
tff(response,type,
response: ( $i * $i ) > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(agreeable,type,
agreeable: $i > $o ).
tff(c,type,
c: $i ).
tff(f_59,axiom,
~ agreeable(a),
file(unknown,unknown) ).
tff(f_61,axiom,
c = compose(a,b),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y,W] : ( response(compose(X,Y),W) = response(X,response(Y,W)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
agreeable(c),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X,Y] :
( ~ agreeable(X)
| ( response(X,common_bird(Y)) = response(Y,common_bird(Y)) ) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X,Z] :
( ( response(X,Z) != response(compatible(X),Z) )
| agreeable(X) ),
file(unknown,unknown) ).
tff(c_10,plain,
~ agreeable(a),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_12,plain,
compose(a,b) = c,
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_18,plain,
! [X_10,Y_11,W_12] : ( response(compose(X_10,Y_11),W_12) = response(X_10,response(Y_11,W_12)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_27,plain,
! [W_12] : ( response(a,response(b,W_12)) = response(c,W_12) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_18]) ).
tff(c_2,plain,
! [X_1,Y_2,W_3] : ( response(compose(X_1,Y_2),W_3) = response(X_1,response(Y_2,W_3)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_8,plain,
agreeable(c),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_30,plain,
! [Y_13,X_14] :
( ( response(Y_13,common_bird(Y_13)) = response(X_14,common_bird(Y_13)) )
| ~ agreeable(X_14) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_234,plain,
! [Y_23,X_24,Y_25] :
( ( response(Y_23,common_bird(Y_23)) = response(X_24,response(Y_25,common_bird(Y_23))) )
| ~ agreeable(compose(X_24,Y_25)) ),
inference(superposition,[status(thm),theory(equality)],[c_30,c_2]) ).
tff(c_261,plain,
! [Y_23] :
( ( response(c,common_bird(Y_23)) = response(Y_23,common_bird(Y_23)) )
| ~ agreeable(compose(a,b)) ),
inference(superposition,[status(thm),theory(equality)],[c_234,c_27]) ).
tff(c_339,plain,
! [Y_26] : ( response(c,common_bird(Y_26)) = response(Y_26,common_bird(Y_26)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_261]) ).
tff(c_721,plain,
! [X_33,Y_34] : ( response(X_33,response(Y_34,common_bird(compose(X_33,Y_34)))) = response(c,common_bird(compose(X_33,Y_34))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_339]) ).
tff(c_6,plain,
! [X_6,Z_7] :
( agreeable(X_6)
| ( response(compatible(X_6),Z_7) != response(X_6,Z_7) ) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_13427,plain,
! [X_205,Y_206] :
( agreeable(X_205)
| ( response(X_205,response(Y_206,common_bird(compose(compatible(X_205),Y_206)))) != response(c,common_bird(compose(compatible(X_205),Y_206))) ) ),
inference(superposition,[status(thm),theory(equality)],[c_721,c_6]) ).
tff(c_13519,plain,
agreeable(a),
inference(superposition,[status(thm),theory(equality)],[c_27,c_13427]) ).
tff(c_13544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_13519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : COL052-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.09 % 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
% 0.08/0.28 % Computer : n027.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 7 15:58:05 EDT 2025
% 0.08/0.28 % CPUTime :
% 9.16/3.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.16/3.32
% 9.16/3.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------