%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MSC006-1 : 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 : n014.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 07:45:07 PM UTC 2025
% Result : Unsatisfiable 3.12s 1.89s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 22 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 56 ( 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(q,type,
q: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(p,type,
p: ( $i * $i ) > $o ).
tff(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_54,axiom,
! [X,Y] :
( p(X,Y)
| q(X,Y) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y] :
( ~ q(X,Y)
| q(Y,X) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X,Y,Z] :
( ~ q(X,Y)
| ~ q(Y,Z)
| q(X,Z) ),
file(unknown,unknown) ).
tff(f_58,axiom,
~ q(c,d),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X,Y,Z] :
( ~ p(X,Y)
| ~ p(Y,Z)
| p(X,Z) ),
file(unknown,unknown) ).
tff(f_56,axiom,
~ p(a,b),
file(unknown,unknown) ).
tff(c_14,plain,
! [X_13,Y_14] :
( q(X_13,Y_14)
| p(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_6,plain,
! [Y_8,X_7] :
( q(Y_8,X_7)
| ~ q(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_20,plain,
! [Y_14,X_13] :
( q(Y_14,X_13)
| p(X_13,Y_14) ),
inference(resolution,[status(thm)],[c_14,c_6]) ).
tff(c_8,plain,
! [X_9,Y_10] :
( q(X_9,Y_10)
| p(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_41,plain,
! [X_21,Z_22,Y_23] :
( q(X_21,Z_22)
| ~ q(Y_23,Z_22)
| ~ q(X_21,Y_23) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_60,plain,
! [X_25,Y_26,X_27] :
( q(X_25,Y_26)
| ~ q(X_25,X_27)
| p(X_27,Y_26) ),
inference(resolution,[status(thm)],[c_8,c_41]) ).
tff(c_122,plain,
! [Y_34,Y_35,X_36] :
( q(Y_34,Y_35)
| p(X_36,Y_35)
| p(X_36,Y_34) ),
inference(resolution,[status(thm)],[c_20,c_60]) ).
tff(c_12,plain,
~ q(c,d),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_170,plain,
! [X_38] :
( p(X_38,d)
| p(X_38,c) ),
inference(resolution,[status(thm)],[c_122,c_12]) ).
tff(c_26,plain,
! [Y_18,X_19] :
( q(Y_18,X_19)
| p(X_19,Y_18) ),
inference(resolution,[status(thm)],[c_14,c_6]) ).
tff(c_33,plain,
p(d,c),
inference(resolution,[status(thm)],[c_26,c_12]) ).
tff(c_2,plain,
! [X_1,Z_3,Y_2] :
( p(X_1,Z_3)
| ~ p(Y_2,Z_3)
| ~ p(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_36,plain,
! [X_1] :
( p(X_1,c)
| ~ p(X_1,d) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_176,plain,
! [X_38] : p(X_38,c),
inference(resolution,[status(thm)],[c_170,c_36]) ).
tff(c_21,plain,
p(c,d),
inference(resolution,[status(thm)],[c_14,c_12]) ).
tff(c_22,plain,
! [X_15,Z_16,Y_17] :
( p(X_15,Z_16)
| ~ p(Y_17,Z_16)
| ~ p(X_15,Y_17) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_25,plain,
! [X_15] :
( p(X_15,d)
| ~ p(X_15,c) ),
inference(resolution,[status(thm)],[c_21,c_22]) ).
tff(c_182,plain,
! [X_15] : p(X_15,d),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_25]) ).
tff(c_67,plain,
! [X_28,X_29,Y_30] :
( q(X_28,X_29)
| ~ q(X_28,Y_30)
| p(X_29,Y_30) ),
inference(resolution,[status(thm)],[c_20,c_41]) ).
tff(c_256,plain,
! [X_46,X_47,Y_48] :
( q(X_46,X_47)
| p(X_47,Y_48)
| p(X_46,Y_48) ),
inference(resolution,[status(thm)],[c_8,c_67]) ).
tff(c_300,plain,
! [Y_51] :
( p(d,Y_51)
| p(c,Y_51) ),
inference(resolution,[status(thm)],[c_256,c_12]) ).
tff(c_302,plain,
! [X_1,Y_51] :
( p(X_1,Y_51)
| ~ p(X_1,d)
| p(c,Y_51) ),
inference(resolution,[status(thm)],[c_300,c_2]) ).
tff(c_305,plain,
! [X_1,Y_51] :
( p(X_1,Y_51)
| p(c,Y_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_302]) ).
tff(c_331,plain,
! [Y_54] : p(c,Y_54),
inference(factorization,[status(thm),theory(equality)],[c_305]) ).
tff(c_333,plain,
! [X_1,Y_54] :
( p(X_1,Y_54)
| ~ p(X_1,c) ),
inference(resolution,[status(thm)],[c_331,c_2]) ).
tff(c_336,plain,
! [X_1,Y_54] : p(X_1,Y_54),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_333]) ).
tff(c_10,plain,
~ p(a,b),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 07:56:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.12/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.12/1.90
% 3.12/1.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------