%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN585-1 : 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/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 : n022.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 10:03:59 PM UTC 2025
% Result : Unsatisfiable 5.91s 2.67s
% Output : CNFRefutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p2 > p11 > p10 > f9 > f8 > f7 > f6 > f5 > #nlpp > f4 > f3 > c18 > c17 > c16 > c15 > c14 > c13 > c12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(c12,type,
c12: $i ).
tff(c16,type,
c16: $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c14,type,
c14: $i ).
tff(c17,type,
c17: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(c15,type,
c15: $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c18,type,
c18: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c13,type,
c13: $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_25,axiom,
! [X8] : p11(X8,X8),
file(unknown,unknown) ).
tff(f_44,axiom,
! [X9,X10,X11] :
( p11(X9,f8(X10,X11))
| ~ p11(X9,X11) ),
file(unknown,unknown) ).
tff(f_31,axiom,
~ p2(c12,f3(c13)),
file(unknown,unknown) ).
tff(f_32,axiom,
p11(c18,f9(c12,c14)),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X17,X15,X16] :
( p2(X17,f3(c13))
| p11(f9(X17,X15),f9(X17,X16))
| ~ p11(X15,X16) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X12,X13,X14] :
( p11(X12,X13)
| ~ p11(X12,X14)
| ~ p11(X14,X13) ),
file(unknown,unknown) ).
tff(f_39,axiom,
~ p11(c18,f9(c12,f8(c16,c14))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X8_2] : p11(X8_2,X8_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_26,plain,
! [X9_3,X11_5,X10_4] :
( ~ p11(X9_3,X11_5)
| p11(X9_3,f8(X10_4,X11_5)) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_12,plain,
~ p2(c12,f3(c13)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_14,plain,
p11(c18,f9(c12,c14)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_538,plain,
! [X15_117,X16_118,X17_119] :
( ~ p11(X15_117,X16_118)
| p11(f9(X17_119,X15_117),f9(X17_119,X16_118))
| p2(X17_119,f3(c13)) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_32,plain,
! [X14_12,X13_11,X12_10] :
( ~ p11(X14_12,X13_11)
| ~ p11(X12_10,X14_12)
| p11(X12_10,X13_11) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_2465,plain,
! [X12_283,X17_284,X15_285,X16_286] :
( ~ p11(X12_283,f9(X17_284,X15_285))
| p11(X12_283,f9(X17_284,X16_286))
| ~ p11(X15_285,X16_286)
| p2(X17_284,f3(c13)) ),
inference(resolution,[status(thm)],[c_538,c_32]) ).
tff(c_2482,plain,
! [X16_286] :
( p11(c18,f9(c12,X16_286))
| ~ p11(c14,X16_286)
| p2(c12,f3(c13)) ),
inference(resolution,[status(thm)],[c_14,c_2465]) ).
tff(c_2501,plain,
! [X16_288] :
( p11(c18,f9(c12,X16_288))
| ~ p11(c14,X16_288) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_2482]) ).
tff(c_24,plain,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_2523,plain,
~ p11(c14,f8(c16,c14)),
inference(resolution,[status(thm)],[c_2501,c_24]) ).
tff(c_2526,plain,
~ p11(c14,c14),
inference(resolution,[status(thm)],[c_26,c_2523]) ).
tff(c_2530,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN585-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12 % 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
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Apr 9 08:02:21 EDT 2025
% 0.11/0.33 % CPUTime :
% 5.91/2.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.91/2.67
% 5.91/2.67 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------