%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN692-1 : 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 : 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 10:04:12 PM UTC 2025
% Result : Unsatisfiable 95.70s 67.61s
% Output : CNFRefutation 95.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 37 |; 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 : 26 ( 26 usr; 12 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 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 > 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(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,c45),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_172,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_124,axiom,
! [X90,X91] :
( p3(f4(X90),f4(X91))
| ~ p2(X90,X91) ),
file(unknown,unknown) ).
tff(f_156,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_298,axiom,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file(unknown,unknown) ).
tff(f_259,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_261,axiom,
~ p2(f11(f4(c45),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,c45),
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_452,plain,
! [X43_210,X45_211,X44_212] :
( ~ p2(X43_210,X45_211)
| ~ p2(X43_210,X44_212)
| p2(X44_212,X45_211) ),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_471,plain,
! [X43_213,X44_214] :
( ~ p2(X43_213,X44_214)
| p2(X44_214,X43_213) ),
inference(resolution,[status(thm)],[c_24,c_452]) ).
tff(c_490,plain,
p2(c45,c44),
inference(resolution,[status(thm)],[c_32,c_471]) ).
tff(c_66,plain,
! [X90_33,X91_34] :
( ~ p2(X90_33,X91_34)
| p3(f4(X90_33),f4(X91_34)) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_235,plain,
! [X87_176,X89_177,X88_178] :
( ~ p3(X87_176,X89_177)
| ~ p3(X87_176,X88_178)
| p3(X88_178,X89_177) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_1851,plain,
! [X90_465,X88_466,X91_467] :
( ~ p3(f4(X90_465),X88_466)
| p3(X88_466,f4(X91_467))
| ~ p2(X90_465,X91_467) ),
inference(resolution,[status(thm)],[c_66,c_235]) ).
tff(c_1880,plain,
! [X91_478,X91_479,X90_480] :
( p3(f4(X91_478),f4(X91_479))
| ~ p2(X90_480,X91_479)
| ~ p2(X90_480,X91_478) ),
inference(resolution,[status(thm)],[c_66,c_1851]) ).
tff(c_1928,plain,
! [X91_478] :
( p3(f4(X91_478),f4(c44))
| ~ p2(c45,X91_478) ),
inference(resolution,[status(thm)],[c_490,c_1880]) ).
tff(c_20,plain,
! [X87_4] : p3(X87_4,X87_4),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_242,plain,
! [X87_179,X88_180] :
( ~ p3(X87_179,X88_180)
| p3(X88_180,X87_179) ),
inference(resolution,[status(thm)],[c_20,c_235]) ).
tff(c_383,plain,
! [X91_198,X90_199] :
( p3(f4(X91_198),f4(X90_199))
| ~ p2(X90_199,X91_198) ),
inference(resolution,[status(thm)],[c_66,c_242]) ).
tff(c_74,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_156]) ).
tff(c_3244,plain,
! [X91_557,X88_558,X90_559] :
( ~ p3(f4(X91_557),X88_558)
| p3(X88_558,f4(X90_559))
| ~ p2(X90_559,X91_557) ),
inference(resolution,[status(thm)],[c_383,c_74]) ).
tff(c_8604,plain,
! [X90_754,X91_755] :
( p3(f4(c44),f4(X90_754))
| ~ p2(X90_754,X91_755)
| ~ p2(c45,X91_755) ),
inference(resolution,[status(thm)],[c_1928,c_3244]) ).
tff(c_8762,plain,
( p3(f4(c44),f4(c45))
| ~ p2(c45,c44) ),
inference(resolution,[status(thm)],[c_490,c_8604]) ).
tff(c_8855,plain,
p3(f4(c44),f4(c45)),
inference(demodulation,[status(thm),theory(equality)],[c_490,c_8762]) ).
tff(c_241,plain,
! [X87_4,X88_178] :
( ~ p3(X87_4,X88_178)
| p3(X88_178,X87_4) ),
inference(resolution,[status(thm)],[c_20,c_235]) ).
tff(c_8874,plain,
p3(f4(c45),f4(c44)),
inference(resolution,[status(thm)],[c_8855,c_241]) ).
tff(c_1148,plain,
! [X46_354,X48_355,X47_356,X49_357] :
( ~ p3(X46_354,X48_355)
| ~ p10(X47_356,X49_357)
| p2(f11(X46_354,X47_356),f11(X48_355,X49_357)) ),
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_469,plain,
! [X43_6,X44_212] :
( ~ p2(X43_6,X44_212)
| p2(X44_212,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_452]) ).
tff(c_1165,plain,
! [X48_355,X49_357,X46_354,X47_356] :
( p2(f11(X48_355,X49_357),f11(X46_354,X47_356))
| ~ p3(X46_354,X48_355)
| ~ p10(X47_356,X49_357) ),
inference(resolution,[status(thm)],[c_1148,c_469]) ).
tff(c_102,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_1386,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_102,c_469]) ).
tff(c_78,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_172]) ).
tff(c_198270,plain,
! [X44_2272] :
( ~ p2(f11(f4(c44),c43),X44_2272)
| p2(X44_2272,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_1386,c_78]) ).
tff(c_104,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_199174,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[status(thm)],[c_198270,c_104]) ).
tff(c_199188,plain,
( ~ p3(f4(c45),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_1165,c_199174]) ).
tff(c_199198,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_8874,c_199188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN692-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 08:10:36 EDT 2025
% 0.13/0.34 % CPUTime :
% 95.70/67.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.70/67.62
% 95.70/67.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------