%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN084-2 : TPTP v9.0.0. Released v1.2.0.
% 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 : n005.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 10:02:35 PM UTC 2025
% Result : Unsatisfiable 2.60s 1.67s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 35 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_p > #nlpp > f > sk2 > sk1 > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(sk2,type,
sk2: $i ).
tff(sk1,type,
sk1: $i ).
tff(f,type,
f: $i > $i ).
tff(big_p,type,
big_p: $i > $o ).
tff(f_31,axiom,
big_p(a),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] :
( big_p(f(f(A)))
| ~ big_p(f(A))
| ~ big_p(a) ),
file(unknown,unknown) ).
tff(f_51,axiom,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [A] :
( big_p(f(f(A)))
| big_p(A)
| ~ big_p(a) ),
file(unknown,unknown) ).
tff(f_60,axiom,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file(unknown,unknown) ).
tff(f_67,axiom,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file(unknown,unknown) ).
tff(c_2,plain,
big_p(a),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6,plain,
! [A_2] :
( ~ big_p(a)
| ~ big_p(f(A_2))
| big_p(f(f(A_2))) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_18,plain,
! [A_2] :
( ~ big_p(f(A_2))
| big_p(f(f(A_2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6]) ).
tff(c_8,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_21,plain,
~ big_p(f(f(sk1))),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_28,plain,
~ big_p(f(sk1)),
inference(resolution,[status(thm)],[c_18,c_21]) ).
tff(c_4,plain,
! [A_1] :
( ~ big_p(a)
| big_p(A_1)
| big_p(f(f(A_1))) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_16,plain,
! [A_1] :
( big_p(A_1)
| big_p(f(f(A_1))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_4]) ).
tff(c_29,plain,
big_p(sk1),
inference(resolution,[status(thm)],[c_16,c_21]) ).
tff(c_10,plain,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_42,plain,
( ~ big_p(sk2)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_29,c_10]) ).
tff(c_43,plain,
( ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(negUnitSimplification,[status(thm)],[c_28,c_42]) ).
tff(c_44,plain,
~ big_p(sk2),
inference(splitLeft,[status(thm)],[c_43]) ).
tff(c_12,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_31,plain,
( ~ big_p(f(f(sk2)))
| big_p(f(sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_29,c_12]) ).
tff(c_32,plain,
~ big_p(f(f(sk2))),
inference(negUnitSimplification,[status(thm)],[c_28,c_31]) ).
tff(c_40,plain,
big_p(sk2),
inference(resolution,[status(thm)],[c_16,c_32]) ).
tff(c_45,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_40]) ).
tff(c_46,plain,
big_p(f(sk2)),
inference(splitRight,[status(thm)],[c_43]) ).
tff(c_39,plain,
~ big_p(f(sk2)),
inference(resolution,[status(thm)],[c_18,c_32]) ).
tff(c_50,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46,c_39]) ).
tff(c_51,plain,
~ big_p(f(f(sk2))),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_59,plain,
~ big_p(f(sk2)),
inference(resolution,[status(thm)],[c_18,c_51]) ).
tff(c_60,plain,
big_p(sk2),
inference(resolution,[status(thm)],[c_16,c_51]) ).
tff(c_14,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_62,plain,
( ~ big_p(f(f(sk1)))
| big_p(f(sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_14]) ).
tff(c_63,plain,
~ big_p(f(f(sk1))),
inference(negUnitSimplification,[status(thm)],[c_59,c_62]) ).
tff(c_52,plain,
big_p(f(f(sk1))),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_72,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN084-2 : TPTP v9.0.0. Released v1.2.0.
% 0.12/0.14 % 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
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 06:56:27 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.60/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/1.68
% 2.60/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------