%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN697-1 : 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 10:04:13 PM UTC 2025
% Result : Unsatisfiable 133.68s 102.86s
% Output : CNFRefutation 133.68s
% 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 : 28 ( 28 usr; 14 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 > 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(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,c45),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X43] : p2(X43,X43),
file(unknown,unknown) ).
tff(f_174,axiom,
! [X44,X45,X43] :
( p2(X44,X45)
| ~ p2(X43,X44)
| ~ p2(X43,X45) ),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X91,X92] :
( p3(f4(X91),f4(X92))
| ~ p2(X91,X92) ),
file(unknown,unknown) ).
tff(f_158,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_262,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file(unknown,unknown) ).
tff(f_264,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_281,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_174]) ).
tff(c_314,plain,
! [X43_203,X44_204] :
( ~ p2(X43_203,X44_204)
| p2(X44_204,X43_203) ),
inference(resolution,[status(thm)],[c_24,c_281]) ).
tff(c_331,plain,
p2(c45,c44),
inference(resolution,[status(thm)],[c_32,c_314]) ).
tff(c_60,plain,
! [X91_23,X92_24] :
( ~ p2(X91_23,X92_24)
| p3(f4(X91_23),f4(X92_24)) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_363,plain,
! [X88_210,X90_211,X89_212] :
( ~ p3(X88_210,X90_211)
| ~ p3(X88_210,X89_212)
| p3(X89_212,X90_211) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_1922,plain,
! [X91_465,X89_466,X92_467] :
( ~ p3(f4(X91_465),X89_466)
| p3(X89_466,f4(X92_467))
| ~ p2(X91_465,X92_467) ),
inference(resolution,[status(thm)],[c_60,c_363]) ).
tff(c_1997,plain,
! [X92_481,X92_482,X91_483] :
( p3(f4(X92_481),f4(X92_482))
| ~ p2(X91_483,X92_482)
| ~ p2(X91_483,X92_481) ),
inference(resolution,[status(thm)],[c_60,c_1922]) ).
tff(c_2083,plain,
! [X92_486] :
( p3(f4(X92_486),f4(c45))
| ~ p2(c44,X92_486) ),
inference(resolution,[status(thm)],[c_32,c_1997]) ).
tff(c_368,plain,
! [X91_23,X89_212,X92_24] :
( ~ p3(f4(X91_23),X89_212)
| p3(X89_212,f4(X92_24))
| ~ p2(X91_23,X92_24) ),
inference(resolution,[status(thm)],[c_60,c_363]) ).
tff(c_14168,plain,
! [X92_886,X92_887] :
( p3(f4(c45),f4(X92_886))
| ~ p2(X92_887,X92_886)
| ~ p2(c44,X92_887) ),
inference(resolution,[status(thm)],[c_2083,c_368]) ).
tff(c_14396,plain,
( p3(f4(c45),f4(c44))
| ~ p2(c44,c45) ),
inference(resolution,[status(thm)],[c_331,c_14168]) ).
tff(c_14524,plain,
p3(f4(c45),f4(c44)),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_14396]) ).
tff(c_1096,plain,
! [X46_334,X48_335,X47_336,X49_337] :
( ~ p3(X46_334,X48_335)
| ~ p10(X47_336,X49_337)
| p2(f11(X46_334,X47_336),f11(X48_335,X49_337)) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_299,plain,
! [X43_6,X44_198] :
( ~ p2(X43_6,X44_198)
| p2(X44_198,X43_6) ),
inference(resolution,[status(thm)],[c_24,c_281]) ).
tff(c_1122,plain,
! [X48_335,X49_337,X46_334,X47_336] :
( p2(f11(X48_335,X49_337),f11(X46_334,X47_336))
| ~ p3(X46_334,X48_335)
| ~ p10(X47_336,X49_337) ),
inference(resolution,[status(thm)],[c_1096,c_299]) ).
tff(c_108,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_1215,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolution,[status(thm)],[c_108,c_299]) ).
tff(c_82,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_174]) ).
tff(c_251545,plain,
! [X44_2564] :
( ~ p2(f11(f4(c44),c43),X44_2564)
| p2(X44_2564,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(resolution,[status(thm)],[c_1215,c_82]) ).
tff(c_110,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_252551,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolution,[status(thm)],[c_251545,c_110]) ).
tff(c_252566,plain,
( ~ p3(f4(c45),f4(c44))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[c_1122,c_252551]) ).
tff(c_252576,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_14524,c_252566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYN697-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Apr 9 09:35:45 EDT 2025
% 0.10/0.30 % CPUTime :
% 133.68/102.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 133.68/102.87
% 133.68/102.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------