%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN593-1 : 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 : n019.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 10:04:00 PM UTC 2025
% Result : Unsatisfiable 7.26s 2.74s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p5 > p3 > p2 > p15 > p12 > f6 > f4 > f14 > #nlpp > f9 > f8 > f7 > f13 > f11 > f10 > c21 > c20 > c19 > c18 > c17 > c16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(c16,type,
c16: $i ).
tff(f7,type,
f7: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(f13,type,
f13: $i > $i ).
tff(c17,type,
c17: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f9,type,
f9: $i > $i ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(c18,type,
c18: $i ).
tff(f8,type,
f8: $i > $i ).
tff(c19,type,
c19: $i ).
tff(c20,type,
c20: $i ).
tff(f11,type,
f11: $i > $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f10,type,
f10: $i > $i ).
tff(f_31,axiom,
~ p3(c21,c19),
file(unknown,unknown) ).
tff(f_108,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file(unknown,unknown) ).
tff(f_33,axiom,
~ p12(f13(c20),f13(c18)),
file(unknown,unknown) ).
tff(f_107,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file(unknown,unknown) ).
tff(f_159,axiom,
! [X7,X8,X5,X6] :
( p3(X7,X8)
| p12(f13(X5),f13(c18))
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5) ),
file(unknown,unknown) ).
tff(f_136,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file(unknown,unknown) ).
tff(f_134,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X24] : p3(X24,X24),
file(unknown,unknown) ).
tff(f_87,axiom,
! [X25,X26,X24] :
( p3(X25,X26)
| ~ p3(X24,X25)
| ~ p3(X24,X26) ),
file(unknown,unknown) ).
tff(c_10,plain,
~ p3(c21,c19),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_38,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_12,plain,
~ p12(f13(c20),f13(c18)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_36,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_927,plain,
! [X6_233,X8_234,X5_235,X7_236] :
( ~ p15(f4(f6(f10(X6_233),f6(f7(f8(f9(c17))),c18)),X8_234),X5_235)
| ~ p15(f4(f6(f10(X6_233),f6(f7(f8(f9(c17))),c18)),X7_236),X5_235)
| p15(f4(f6(f10(X6_233),f6(f7(f8(f9(c17))),c18)),f11(X7_236)),X5_235)
| p15(f4(f6(f10(X6_233),f6(f7(f8(f9(c17))),c18)),f11(X8_234)),X5_235)
| p12(f13(X5_235),f13(c18))
| p3(X7_236,X8_234) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_48,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_937,plain,
! [X8_234] :
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X8_234),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X8_234)),c20)
| p12(f13(c20),f13(c18))
| p3(c19,X8_234) ),
inference(resolution,[status(thm)],[c_927,c_48]) ).
tff(c_1014,plain,
! [X8_234] :
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X8_234),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X8_234)),c20)
| p12(f13(c20),f13(c18))
| p3(c19,X8_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_937]) ).
tff(c_3821,plain,
! [X8_423] :
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X8_423),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X8_423)),c20)
| p3(c19,X8_423) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_1014]) ).
tff(c_46,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_3828,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
| p3(c19,c21) ),
inference(resolution,[status(thm)],[c_3821,c_46]) ).
tff(c_3839,plain,
p3(c19,c21),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3828]) ).
tff(c_6,plain,
! [X24_3] : p3(X24_3,X24_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_139,plain,
! [X24_90,X26_91,X25_92] :
( ~ p3(X24_90,X26_91)
| ~ p3(X24_90,X25_92)
| p3(X25_92,X26_91) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_151,plain,
! [X24_3,X25_92] :
( ~ p3(X24_3,X25_92)
| p3(X25_92,X24_3) ),
inference(resolution,[status(thm)],[c_6,c_139]) ).
tff(c_3887,plain,
p3(c21,c19),
inference(resolution,[status(thm)],[c_3839,c_151]) ).
tff(c_3914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_3887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN593-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Apr 9 08:02:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 7.26/2.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.26/2.74
% 7.26/2.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------