%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN693-1 : 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 : n013.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 10:04:12 PM UTC 2025
% Result : Unsatisfiable 67.31s 53.94s
% Output : CNFRefutation 67.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 47 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p26 > p7 > p6 > p33 > p32 > p31 > p3 > p27 > p21 > p2 > p17 > p14 > p12 > p10 > p30 > p29 > p28 > p25 > f23 > f22 > f19 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f24 > f20 > f18 > f16 > c46 > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p32,type,
p32: ( $i * $i ) > $o ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(p26,type,
p26: ( $i * $i * $i ) > $o ).
tff(f18,type,
f18: $i > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(c45,type,
c45: $i ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(c34,type,
c34: $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(f20,type,
f20: $i > $i ).
tff(c42,type,
c42: $i ).
tff(p31,type,
p31: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i ) > $o ).
tff(p33,type,
p33: ( $i * $i ) > $o ).
tff(f24,type,
f24: $i > $i ).
tff(c41,type,
c41: $i ).
tff(f16,type,
f16: $i > $i ).
tff(c39,type,
c39: $i ).
tff(c44,type,
c44: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p30,type,
p30: $i > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(c46,type,
c46: $i ).
tff(c36,type,
c36: $i ).
tff(p25,type,
p25: $i > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(p29,type,
p29: $i > $o ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p28,type,
p28: $i > $o ).
tff(f_29,axiom,
! [X5] : p10(X5,X5),
file(unknown,unknown) ).
tff(f_46,axiom,
p2(c44,c46),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_173,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_125,axiom,
! [X90,X91] :
( p3(f4(X90),f4(X91))
| ~ p2(X90,X91) ),
file(unknown,unknown) ).
tff(f_157,axiom,
! [X88,X89,X87] :
( p3(X88,X89)
| ~ p3(X87,X88)
| ~ p3(X87,X89) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X87] : p3(X87,X87),
file(unknown,unknown) ).
tff(f_299,axiom,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file(unknown,unknown) ).
tff(f_260,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_262,axiom,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file(unknown,unknown) ).
tff(c_14,plain,
! [X5_1] : p10(X5_1,X5_1),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_32,plain,
p2(c44,c46),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_24,plain,
! [X43_6] : p2(X43_6,X43_6),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_301,plain,
! [X43_184,X45_185,X44_186] :
( ~ p2(X43_184,X45_185)
| ~ p2(X43_184,X44_186)
| p2(X44_186,X45_185) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_320,plain,
! [X43_187,X44_188] :
( ~ p2(X43_187,X44_188)
| p2(X44_188,X43_187) ),
inference(resolution,[status(thm)],[c_24,c_301]) ).
tff(c_339,plain,
p2(c46,c44),
inference(resolution,[status(thm)],[c_32,c_320]) ).
tff(c_68,plain,
! [X90_33,X91_34] :
( ~ p2(X90_33,X91_34)
| p3(f4(X90_33),f4(X91_34)) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_357,plain,
! [X87_190,X89_191,X88_192] :
( ~ p3(X87_190,X89_191)
| ~ p3(X87_190,X88_192)
| p3(X88_192,X89_191) ),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_1773,plain,
! [X90_437,X88_438,X91_439] :
( ~ p3(f4(X90_437),X88_438)
| p3(X88_438,f4(X91_439))
| ~ p2(X90_437,X91_439) ),
inference(resolution,[status(thm)],[c_68,c_357]) ).
tff(c_2026,plain,
! [X91_484,X91_485,X90_486] :
( p3(f4(X91_484),f4(X91_485))
| ~ p2(X90_486,X91_485)
| ~ p2(X90_486,X91_484) ),
inference(resolution,[status(thm)],[c_68,c_1773]) ).
tff(c_2086,plain,
! [X91_484] :
( p3(f4(X91_484),f4(c44))
| ~ p2(c46,X91_484) ),
inference(resolution,[status(thm)],[c_339,c_2026]) ).
tff(c_20,plain,
! [X87_4] : p3(X87_4,X87_4),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_364,plain,
! [X87_193,X88_194] :
( ~ p3(X87_193,X88_194)
| p3(X88_194,X87_193) ),
inference(resolution,[status(thm)],[c_20,c_357]) ).
tff(c_492,plain,
! [X91_218,X90_219] :
( p3(f4(X91_218),f4(X90_219))
| ~ p2(X90_219,X91_218) ),
inference(resolution,[status(thm)],[c_68,c_364]) ).
tff(c_76,plain,
! [X87_46,X89_45,X88_44] :
( ~ p3(X87_46,X89_45)
| ~ p3(X87_46,X88_44)
| p3(X88_44,X89_45) ),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_3846,plain,
! [X91_607,X88_608,X90_609] :
( ~ p3(f4(X91_607),X88_608)
| p3(X88_608,f4(X90_609))
| ~ p2(X90_609,X91_607) ),
inference(resolution,[status(thm)],[c_492,c_76]) ).
tff(c_25994,plain,
! [X90_1087,X91_1088] :
( p3(f4(c44),f4(X90_1087))
| ~ p2(X90_1087,X91_1088)
| ~ p2(c46,X91_1088) ),
inference(resolution,[status(thm)],[c_2086,c_3846]) ).
tff(c_26374,plain,
( p3(f4(c44),f4(c46))
| ~ p2(c46,c44) ),
inference(resolution,[status(thm)],[c_339,c_25994]) ).
tff(c_26578,plain,
p3(f4(c44),f4(c46)),
inference(demodulation,[status(thm),theory(equality)],[c_339,c_26374]) ).
tff(c_369,plain,
! [X91_34,X90_33] :
( p3(f4(X91_34),f4(X90_33))
| ~ p2(X90_33,X91_34) ),
inference(resolution,[status(thm)],[c_68,c_364]) ).
tff(c_2937,plain,
! [X90_546,X91_547,X91_548] :
( p3(f4(X90_546),f4(X91_547))
| ~ p2(X91_548,X91_547)
| ~ p2(X90_546,X91_548) ),
inference(resolution,[status(thm)],[c_369,c_1773]) ).
tff(c_3040,plain,
! [X90_549] :
( p3(f4(X90_549),f4(c44))
| ~ p2(X90_549,c46) ),
inference(resolution,[status(thm)],[c_339,c_2937]) ).
tff(c_3056,plain,
! [X90_549,X88_44] :
( ~ p3(f4(X90_549),X88_44)
| p3(X88_44,f4(c44))
| ~ p2(X90_549,c46) ),
inference(resolution,[status(thm)],[c_3040,c_76]) ).
tff(c_26590,plain,
( p3(f4(c46),f4(c44))
| ~ p2(c44,c46) ),
inference(resolution,[status(thm)],[c_26578,c_3056]) ).
tff(c_26610,plain,
p3(f4(c46),f4(c44)),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_26590]) ).
tff(c_1258,plain,
! [X46_370,X48_371,X47_372,X49_373] :
( ~ p3(X46_370,X48_371)
| ~ p10(X47_372,X49_373)
| p2(f11(X46_370,X47_372),f11(X48_371,X49_373)) ),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_318,plain,
! [X43_6,X44_186] :
( ~ p2(X43_6,X44_186)
| p2(X44_186,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_301]) ).
tff(c_1275,plain,
! [X48_371,X49_373,X46_370,X47_372] :
( p2(f11(X48_371,X49_373),f11(X46_370,X47_372))
| ~ p3(X46_370,X48_371)
| ~ p10(X47_372,X49_373) ),
inference(resolution,[status(thm)],[c_1258,c_318]) ).
tff(c_104,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_995,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_104,c_318]) ).
tff(c_80,plain,
! [X43_52,X45_51,X44_50] :
( ~ p2(X43_52,X45_51)
| ~ p2(X43_52,X44_50)
| p2(X44_50,X45_51) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_169602,plain,
! [X44_2192] :
( ~ p2(f11(f4(c44),c43),X44_2192)
| p2(X44_2192,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_995,c_80]) ).
tff(c_106,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_170476,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[status(thm)],[c_169602,c_106]) ).
tff(c_170490,plain,
( ~ p3(f4(c46),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_1275,c_170476]) ).
tff(c_170500,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_26610,c_170490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN693-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 08:10:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 67.31/53.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.31/53.95
% 67.31/53.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------