%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN567-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : 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 10:03:56 PM UTC 2025
% Result : Unsatisfiable 9.41s 3.69s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 32 ( 13 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p5 > p2 > #nlpp > f8 > f7 > f6 > f4 > f3 > c9 > c10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f7,type,
f7: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c9,type,
c9: $i ).
tff(c10,type,
c10: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(f6,type,
f6: $i > $i ).
tff(f8,type,
f8: $i > $i ).
tff(f4,type,
f4: $i > $i ).
tff(f_29,axiom,
~ p2(f6(c9),f3(f4(c10))),
file(unknown,unknown) ).
tff(f_31,axiom,
~ p2(f6(c9),f3(f7(f4(c10)))),
file(unknown,unknown) ).
tff(f_33,axiom,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X17] : p5(f8(f6(X17)),X17),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X8,X9] :
( p2(f6(X8),f6(X9))
| ~ p5(X8,X9) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X3] :
( p2(X3,f3(f4(c10)))
| p2(X3,f3(f7(f4(c10))))
| p2(X3,f3(f7(f7(f4(c10)))))
| p2(X3,f3(f7(f7(f7(f4(c10))))))
| ~ p2(f6(f8(X3)),X3) ),
file(unknown,unknown) ).
tff(f_60,axiom,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file(unknown,unknown) ).
tff(c_8,plain,
~ p2(f6(c9),f3(f4(c10))),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_10,plain,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_12,plain,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [X17_3] : p5(f8(f6(X17_3)),X17_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_20,plain,
! [X8_10,X9_11] :
( ~ p5(X8_10,X9_11)
| p2(f6(X8_10),f6(X9_11)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_647,plain,
! [X3_96] :
( ~ p2(f6(f8(X3_96)),X3_96)
| p2(X3_96,f3(f7(f7(f7(f4(c10))))))
| p2(X3_96,f3(f7(f7(f4(c10)))))
| p2(X3_96,f3(f7(f4(c10))))
| p2(X3_96,f3(f4(c10))) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_655,plain,
! [X9_11] :
( p2(f6(X9_11),f3(f7(f7(f7(f4(c10))))))
| p2(f6(X9_11),f3(f7(f7(f4(c10)))))
| p2(f6(X9_11),f3(f7(f4(c10))))
| p2(f6(X9_11),f3(f4(c10)))
| ~ p5(f8(f6(X9_11)),X9_11) ),
inference(resolution,[status(thm)],[c_20,c_647]) ).
tff(c_7327,plain,
! [X9_309] :
( p2(f6(X9_309),f3(f7(f7(f7(f4(c10))))))
| p2(f6(X9_309),f3(f7(f7(f4(c10)))))
| p2(f6(X9_309),f3(f7(f4(c10))))
| p2(f6(X9_309),f3(f4(c10))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_655]) ).
tff(c_24,plain,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_7399,plain,
( p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f7(f4(c10))))
| p2(f6(c9),f3(f4(c10))) ),
inference(resolution,[status(thm)],[c_7327,c_24]) ).
tff(c_7435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_10,c_12,c_7399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYN567-1 : TPTP v9.0.0. Released v2.5.0.
% 0.08/0.10 % 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
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Apr 9 08:01:04 EDT 2025
% 0.10/0.30 % CPUTime :
% 9.41/3.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.41/3.70
% 9.41/3.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------