%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN640-1 : 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 : n032.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 10:04:05 PM UTC 2025
% Result : Unsatisfiable 46.08s 32.67s
% Output : CNFRefutation 46.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p4 > p3 > p21 > p20 > p2 > p19 > p16 > p10 > p18 > f6 > f5 > #nlpp > f9 > f8 > f7 > f17 > f15 > f14 > f13 > f12 > f11 > c25 > c24 > c23 > c22
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f7,type,
f7: $i > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(f14,type,
f14: $i > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(p18,type,
p18: $i > $o ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(c22,type,
c22: $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(c25,type,
c25: $i ).
tff(f9,type,
f9: $i > $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f11,type,
f11: $i > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_34,axiom,
~ p20(f17(c25),f17(c22)),
file(unknown,unknown) ).
tff(f_38,axiom,
p2(f12(f11(c22)),f7(c24)),
file(unknown,unknown) ).
tff(f_37,axiom,
p2(f12(f11(c25)),f7(c24)),
file(unknown,unknown) ).
tff(f_184,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X16] : p2(X16,X16),
file(unknown,unknown) ).
tff(f_125,axiom,
! [X17,X18,X16] :
( p2(X17,X18)
| ~ p2(X16,X17)
| ~ p2(X16,X18) ),
file(unknown,unknown) ).
tff(f_183,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file(unknown,unknown) ).
tff(f_40,axiom,
p19(f13(f11(c23)),f13(f11(c22))),
file(unknown,unknown) ).
tff(f_144,axiom,
! [X12,X13,X14,X15] :
( p19(X12,X13)
| ~ p2(X14,X12)
| ~ p2(X15,X13)
| ~ p19(X14,X15) ),
file(unknown,unknown) ).
tff(f_195,axiom,
! [X35,X36] :
( p20(f17(X35),f17(X36))
| ~ p2(f12(f11(X36)),f7(c24))
| ~ p2(f12(f11(X35)),f7(c24))
| ~ p19(f13(f11(X35)),f13(f11(X36))) ),
file(unknown,unknown) ).
tff(c_14,plain,
~ p20(f17(c25),f17(c22)),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_20,plain,
p2(f12(f11(c22)),f7(c24)),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_18,plain,
p2(f12(f11(c25)),f7(c24)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_68,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_10,plain,
! [X16_4] : p2(X16_4,X16_4),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_117,plain,
! [X16_95,X18_96,X17_97] :
( ~ p2(X16_95,X18_96)
| ~ p2(X16_95,X17_97)
| p2(X17_97,X18_96) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_147,plain,
! [X16_4,X17_97] :
( ~ p2(X16_4,X17_97)
| p2(X17_97,X16_4) ),
inference(resolution,[status(thm)],[c_10,c_117]) ).
tff(c_782,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolution,[status(thm)],[c_68,c_147]) ).
tff(c_66,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_705,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(resolution,[status(thm)],[c_66,c_147]) ).
tff(c_52,plain,
! [X16_37,X18_36,X17_35] :
( ~ p2(X16_37,X18_36)
| ~ p2(X16_37,X17_35)
| p2(X17_35,X18_36) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_167502,plain,
! [X17_1910] :
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X17_1910)
| p2(X17_1910,f13(f11(c23))) ),
inference(resolution,[status(thm)],[c_705,c_52]) ).
tff(c_167852,plain,
p2(f13(f11(c25)),f13(f11(c23))),
inference(resolution,[status(thm)],[c_782,c_167502]) ).
tff(c_168073,plain,
p2(f13(f11(c23)),f13(f11(c25))),
inference(resolution,[status(thm)],[c_167852,c_147]) ).
tff(c_24,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_274,plain,
! [X14_123,X15_124,X13_125,X12_126] :
( ~ p19(X14_123,X15_124)
| ~ p2(X15_124,X13_125)
| ~ p2(X14_123,X12_126)
| p19(X12_126,X13_125) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_3085,plain,
! [X13_312,X12_313] :
( ~ p2(f13(f11(c22)),X13_312)
| ~ p2(f13(f11(c23)),X12_313)
| p19(X12_313,X13_312) ),
inference(resolution,[status(thm)],[c_24,c_274]) ).
tff(c_3109,plain,
! [X12_313] :
( ~ p2(f13(f11(c23)),X12_313)
| p19(X12_313,f13(f11(c22))) ),
inference(resolution,[status(thm)],[c_10,c_3085]) ).
tff(c_168251,plain,
p19(f13(f11(c25)),f13(f11(c22))),
inference(resolution,[status(thm)],[c_168073,c_3109]) ).
tff(c_70,plain,
! [X35_61,X36_62] :
( ~ p19(f13(f11(X35_61)),f13(f11(X36_62)))
| ~ p2(f12(f11(X35_61)),f7(c24))
| ~ p2(f12(f11(X36_62)),f7(c24))
| p20(f17(X35_61),f17(X36_62)) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_168266,plain,
( ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| p20(f17(c25),f17(c22)) ),
inference(resolution,[status(thm)],[c_168251,c_70]) ).
tff(c_168271,plain,
p20(f17(c25),f17(c22)),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_18,c_168266]) ).
tff(c_168273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_168271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYN640-1 : TPTP v9.0.0. Released v2.5.0.
% 0.02/0.09 % 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
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Apr 9 08:06:30 EDT 2025
% 0.08/0.28 % CPUTime :
% 46.08/32.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.08/32.67
% 46.08/32.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------