%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN698-1 : 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 : n011.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 10:04:13 PM UTC 2025
% Result : Unsatisfiable 208.12s 166.06s
% Output : CNFRefutation 208.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 36 ~; 32 |; 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 : 29 ( 29 usr; 15 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 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 > c48 > c47 > 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(c47,type,
c47: $i ).
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(c48,type,
c48: $i ).
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_48,axiom,
p2(c44,c46),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_176,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_128,axiom,
! [X91,X92] :
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ),
file(unknown,unknown) ).
tff(f_160,axiom,
! [X89,X90,X88] :
( p3(X89,X90)
| ~ p3(X88,X89)
| ~ p3(X88,X90) ),
file(unknown,unknown) ).
tff(f_303,axiom,
! [X46,X47,X48,X49] :
( p2(f11(X46,X47),f11(X48,X49))
| ~ p10(X47,X49)
| ~ p3(X46,X48) ),
file(unknown,unknown) ).
tff(f_264,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_266,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_36,plain,
p2(c44,c46),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_24,plain,
! [X43_6] : p2(X43_6,X43_6),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_397,plain,
! [X43_196,X45_197,X44_198] :
( ~ p2(X43_196,X45_197)
| ~ p2(X43_196,X44_198)
| p2(X44_198,X45_197) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_419,plain,
! [X43_199,X44_200] :
( ~ p2(X43_199,X44_200)
| p2(X44_200,X43_199) ),
inference(resolution,[status(thm)],[c_24,c_397]) ).
tff(c_441,plain,
p2(c46,c44),
inference(resolution,[status(thm)],[c_36,c_419]) ).
tff(c_74,plain,
! [X91_33,X92_34] :
( ~ p2(X91_33,X92_34)
| p3(f4(X91_33),f4(X92_34)) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_501,plain,
! [X88_209,X90_210,X89_211] :
( ~ p3(X88_209,X90_210)
| ~ p3(X88_209,X89_211)
| p3(X89_211,X90_210) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_2544,plain,
! [X91_478,X89_479,X92_480] :
( ~ p3(f4(X91_478),X89_479)
| p3(X89_479,f4(X92_480))
| ~ p2(X91_478,X92_480) ),
inference(resolution,[status(thm)],[c_74,c_501]) ).
tff(c_5602,plain,
! [X92_622,X92_623,X91_624] :
( p3(f4(X92_622),f4(X92_623))
| ~ p2(X91_624,X92_623)
| ~ p2(X91_624,X92_622) ),
inference(resolution,[status(thm)],[c_74,c_2544]) ).
tff(c_5806,plain,
! [X92_626] :
( p3(f4(X92_626),f4(c46))
| ~ p2(c44,X92_626) ),
inference(resolution,[status(thm)],[c_36,c_5602]) ).
tff(c_506,plain,
! [X91_33,X89_211,X92_34] :
( ~ p3(f4(X91_33),X89_211)
| p3(X89_211,f4(X92_34))
| ~ p2(X91_33,X92_34) ),
inference(resolution,[status(thm)],[c_74,c_501]) ).
tff(c_33922,plain,
! [X92_1162,X92_1163] :
( p3(f4(c46),f4(X92_1162))
| ~ p2(X92_1163,X92_1162)
| ~ p2(c44,X92_1163) ),
inference(resolution,[status(thm)],[c_5806,c_506]) ).
tff(c_34322,plain,
( p3(f4(c46),f4(c44))
| ~ p2(c44,c46) ),
inference(resolution,[status(thm)],[c_441,c_33922]) ).
tff(c_34538,plain,
p3(f4(c46),f4(c44)),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_34322]) ).
tff(c_1015,plain,
! [X46_281,X48_282,X47_283,X49_284] :
( ~ p3(X46_281,X48_282)
| ~ p10(X47_283,X49_284)
| p2(f11(X46_281,X47_283),f11(X48_282,X49_284)) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_417,plain,
! [X43_6,X44_198] :
( ~ p2(X43_6,X44_198)
| p2(X44_198,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_397]) ).
tff(c_1026,plain,
! [X48_282,X49_284,X46_281,X47_283] :
( p2(f11(X48_282,X49_284),f11(X46_281,X47_283))
| ~ p3(X46_281,X48_282)
| ~ p10(X47_283,X49_284) ),
inference(resolution,[status(thm)],[c_1015,c_417]) ).
tff(c_112,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_1228,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_112,c_417]) ).
tff(c_86,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_176]) ).
tff(c_318241,plain,
! [X44_2818] :
( ~ p2(f11(f4(c44),c43),X44_2818)
| p2(X44_2818,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_1228,c_86]) ).
tff(c_114,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_319443,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[status(thm)],[c_318241,c_114]) ).
tff(c_319459,plain,
( ~ p3(f4(c46),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_1026,c_319443]) ).
tff(c_319469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_34538,c_319459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN698-1 : TPTP v9.0.0. Released v2.5.0.
% 0.08/0.15 % 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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Apr 9 08:11:03 EDT 2025
% 0.14/0.36 % CPUTime :
% 208.12/166.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 208.20/166.07
% 208.20/166.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------