TSTP Solution File: SYN673-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN673-1 : TPTP v8.1.2. 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 : n027.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 : Tue Aug 22 11:11:35 EDT 2023
% Result : Unsatisfiable 149.28s 120.47s
% Output : CNFRefutation 149.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 67
% Syntax : Number of formulae : 141 ( 30 unt; 42 typ; 0 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 273 ( 138 ~; 135 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 28 >; 28 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 199 (; 199 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p7 > p6 > p4 > p3 > p29 > p28 > p27 > p25 > p23 > p20 > p2 > p18 > p16 > p15 > p13 > p11 > p10 > f8 > f5 > f26 > f24 > f22 > f21 > f19 > f17 > f14 > f12 > #nlpp > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(p15,type,
p15: ( $i * $i ) > $o ).
tff(p4,type,
p4: ( $i * $i ) > $o ).
tff(f26,type,
f26: ( $i * $i ) > $i ).
tff(f22,type,
f22: ( $i * $i ) > $i ).
tff(p23,type,
p23: ( $i * $i ) > $o ).
tff(f19,type,
f19: ( $i * $i ) > $i ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(p13,type,
p13: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c40,type,
c40: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(f24,type,
f24: ( $i * $i ) > $i ).
tff(c34,type,
c34: $i ).
tff(p29,type,
p29: ( $i * $i ) > $o ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(c42,type,
c42: $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(c41,type,
c41: $i ).
tff(c39,type,
c39: $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c38,type,
c38: $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c36,type,
c36: $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c43,type,
c43: $i ).
tff(c30,type,
c30: $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(c31,type,
c31: $i ).
tff(p28,type,
p28: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(f_25,axiom,
! [X102] : p9(X102,X102),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X7] : p10(f14(f19(c35,X7),c41),X7),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X0] : p10(X0,X0),
file(unknown,unknown) ).
tff(f_79,axiom,
! [X1,X2,X0] :
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ),
file(unknown,unknown) ).
tff(f_317,axiom,
! [X73] :
( p29(f24(c42,f26(c43,X73)),c39)
| p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39)) ),
file(unknown,unknown) ).
tff(f_196,axiom,
! [X68] :
( p28(f21(c30,X68),c31)
| ~ p29(f24(c42,X68),c39) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X81] : p4(X81,X81),
file(unknown,unknown) ).
tff(f_207,axiom,
! [X69,X70,X72,X71] :
( p29(X69,X70)
| ~ p29(X72,X71)
| ~ p4(X72,X69)
| ~ p10(X71,X70) ),
file(unknown,unknown) ).
tff(f_325,axiom,
! [X73] :
( p29(f5(c33,f8(c34,c30)),X73)
| ~ p10(X73,f14(f19(c35,c37),c39))
| ~ p28(f21(c30,f26(c43,X73)),c31) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X59,X60] :
( p27(f12(c32,X59),X60)
| ~ p29(X60,X59) ),
file(unknown,unknown) ).
tff(f_262,axiom,
! [X15,X16,X17,X18] :
( p11(f12(X15,X16),f12(X17,X18))
| ~ p10(X16,X18)
| ~ p9(X15,X17) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X12] : p11(X12,X12),
file(unknown,unknown) ).
tff(f_191,axiom,
! [X13,X14,X12] :
( p11(X13,X14)
| ~ p11(X12,X13)
| ~ p11(X12,X14) ),
file(unknown,unknown) ).
tff(f_218,axiom,
! [X55,X56,X57,X58] :
( p27(X55,X56)
| ~ p27(X57,X58)
| ~ p4(X58,X56)
| ~ p11(X57,X55) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X29] : p16(X29,X29),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X99] : p7(X99,X99),
file(unknown,unknown) ).
tff(f_286,axiom,
! [X45,X46,X47,X48] :
( p20(f21(X45,X46),f21(X47,X48))
| ~ p16(X46,X48)
| ~ p7(X45,X47) ),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X68] :
( p28(f21(c30,X68),c31)
| ~ p16(X68,c40) ),
file(unknown,unknown) ).
tff(f_229,axiom,
! [X64,X65,X67,X66] :
( p28(X64,X65)
| ~ p20(X67,X64)
| ~ p28(X67,X66)
| ~ p16(X66,X65) ),
file(unknown,unknown) ).
tff(f_55,axiom,
~ p29(f5(c33,f8(c34,c30)),c38),
file(unknown,unknown) ).
tff(f_338,axiom,
! [X61,X62] :
( p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62),c31)
| ~ p27(f12(c32,X61),f5(c33,f8(c34,c30))) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X60,X59] :
( p29(X60,X59)
| ~ p27(f12(c32,X59),X60) ),
file(unknown,unknown) ).
tff(f_230,axiom,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X19] : p13(X19,X19),
file(unknown,unknown) ).
tff(f_246,axiom,
! [X3,X4,X5,X6] :
( p10(f14(X3,X4),f14(X5,X6))
| ~ p10(X4,X6)
| ~ p13(X3,X5) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [X102_2] : p9(X102_2,X102_2),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_32,plain,
! [X7_16] : p10(f14(f19(c35,X7_16),c41),X7_16),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_2,plain,
! [X0_1] : p10(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_152,plain,
! [X0_156,X2_157,X1_158] :
( ~ p10(X0_156,X2_157)
| ~ p10(X0_156,X1_158)
| p10(X1_158,X2_157) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_163,plain,
! [X0_159,X1_160] :
( ~ p10(X0_159,X1_160)
| p10(X1_160,X0_159) ),
inference(resolution,[status(thm)],[c_2,c_152]) ).
tff(c_168,plain,
! [X7_16] : p10(X7_16,f14(f19(c35,X7_16),c41)),
inference(resolution,[status(thm)],[c_32,c_163]) ).
tff(c_288,plain,
! [X7_223,X1_224] :
( ~ p10(f14(f19(c35,X7_223),c41),X1_224)
| p10(X1_224,X7_223) ),
inference(resolution,[status(thm)],[c_32,c_152]) ).
tff(c_300,plain,
! [X7_223] : p10(f14(f19(c35,f14(f19(c35,X7_223),c41)),c41),X7_223),
inference(resolution,[status(thm)],[c_168,c_288]) ).
tff(c_534,plain,
! [X73_299] :
( ~ p10(X73_299,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X73_299)
| p29(f24(c42,f26(c43,X73_299)),c39) ),
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_74,plain,
! [X68_67] :
( ~ p29(f24(c42,X68_67),c39)
| p28(f21(c30,X68_67),c31) ),
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_10424,plain,
! [X73_660] :
( p28(f21(c30,f26(c43,X73_660)),c31)
| ~ p10(X73_660,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X73_660) ),
inference(resolution,[status(thm)],[c_534,c_74]) ).
tff(c_10,plain,
! [X81_5] : p4(X81_5,X81_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_305,plain,
! [X71_225,X70_226,X72_227,X69_228] :
( ~ p10(X71_225,X70_226)
| ~ p4(X72_227,X69_228)
| ~ p29(X72_227,X71_225)
| p29(X69_228,X70_226) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_520,plain,
! [X72_294,X69_295,X7_296] :
( ~ p4(X72_294,X69_295)
| ~ p29(X72_294,f14(f19(c35,X7_296),c41))
| p29(X69_295,X7_296) ),
inference(resolution,[status(thm)],[c_32,c_305]) ).
tff(c_532,plain,
! [X81_5,X7_296] :
( ~ p29(X81_5,f14(f19(c35,X7_296),c41))
| p29(X81_5,X7_296) ),
inference(resolution,[status(thm)],[c_10,c_520]) ).
tff(c_10435,plain,
! [X7_296] :
( p29(f5(c33,f8(c34,c30)),X7_296)
| p28(f21(c30,f26(c43,f14(f19(c35,X7_296),c41))),c31)
| ~ p10(f14(f19(c35,X7_296),c41),f14(f19(c35,c37),c39)) ),
inference(resolution,[status(thm)],[c_10424,c_532]) ).
tff(c_613,plain,
! [X73_320] :
( ~ p28(f21(c30,f26(c43,X73_320)),c31)
| ~ p10(X73_320,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X73_320) ),
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_85978,plain,
! [X7_2525] :
( p29(f5(c33,f8(c34,c30)),X7_2525)
| ~ p28(f21(c30,f26(c43,f14(f19(c35,X7_2525),c41))),c31)
| ~ p10(f14(f19(c35,X7_2525),c41),f14(f19(c35,c37),c39)) ),
inference(resolution,[status(thm)],[c_613,c_532]) ).
tff(c_123898,plain,
! [X7_3135] :
( p29(f5(c33,f8(c34,c30)),X7_3135)
| ~ p10(f14(f19(c35,X7_3135),c41),f14(f19(c35,c37),c39)) ),
inference(resolution,[status(thm)],[c_10435,c_85978]) ).
tff(c_124191,plain,
p29(f5(c33,f8(c34,c30)),f14(f19(c35,f14(f19(c35,c37),c39)),c41)),
inference(resolution,[status(thm)],[c_300,c_123898]) ).
tff(c_38,plain,
! [X60_20,X59_19] :
( ~ p29(X60_20,X59_19)
| p27(f12(c32,X59_19),X60_20) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_416,plain,
! [X15_258,X17_259,X16_260,X18_261] :
( ~ p9(X15_258,X17_259)
| ~ p10(X16_260,X18_261)
| p11(f12(X15_258,X16_260),f12(X17_259,X18_261)) ),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_30,plain,
! [X12_15] : p11(X12_15,X12_15),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_206,plain,
! [X12_177,X14_178,X13_179] :
( ~ p11(X12_177,X14_178)
| ~ p11(X12_177,X13_179)
| p11(X13_179,X14_178) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_209,plain,
! [X12_15,X13_179] :
( ~ p11(X12_15,X13_179)
| p11(X13_179,X12_15) ),
inference(resolution,[status(thm)],[c_30,c_206]) ).
tff(c_571,plain,
! [X17_308,X18_309,X15_310,X16_311] :
( p11(f12(X17_308,X18_309),f12(X15_310,X16_311))
| ~ p9(X15_310,X17_308)
| ~ p10(X16_311,X18_309) ),
inference(resolution,[status(thm)],[c_416,c_209]) ).
tff(c_78,plain,
! [X57_74,X55_72,X58_75,X56_73] :
( ~ p11(X57_74,X55_72)
| ~ p4(X58_75,X56_73)
| ~ p27(X57_74,X58_75)
| p27(X55_72,X56_73) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_40970,plain,
! [X58_1610,X18_1606,X56_1608,X15_1607,X16_1609,X17_1605] :
( ~ p4(X58_1610,X56_1608)
| ~ p27(f12(X17_1605,X18_1606),X58_1610)
| p27(f12(X15_1607,X16_1609),X56_1608)
| ~ p9(X15_1607,X17_1605)
| ~ p10(X16_1609,X18_1606) ),
inference(resolution,[status(thm)],[c_571,c_78]) ).
tff(c_40992,plain,
! [X17_1615,X81_1611,X15_1614,X16_1613,X18_1612] :
( ~ p27(f12(X17_1615,X18_1612),X81_1611)
| p27(f12(X15_1614,X16_1613),X81_1611)
| ~ p9(X15_1614,X17_1615)
| ~ p10(X16_1613,X18_1612) ),
inference(resolution,[status(thm)],[c_10,c_40970]) ).
tff(c_41026,plain,
! [X15_1616,X16_1617,X60_1618,X59_1619] :
( p27(f12(X15_1616,X16_1617),X60_1618)
| ~ p9(X15_1616,c32)
| ~ p10(X16_1617,X59_1619)
| ~ p29(X60_1618,X59_1619) ),
inference(resolution,[status(thm)],[c_38,c_40992]) ).
tff(c_41285,plain,
! [X15_1616,X7_16,X60_1618] :
( p27(f12(X15_1616,X7_16),X60_1618)
| ~ p9(X15_1616,c32)
| ~ p29(X60_1618,f14(f19(c35,X7_16),c41)) ),
inference(resolution,[status(thm)],[c_168,c_41026]) ).
tff(c_125629,plain,
! [X15_1616] :
( p27(f12(X15_1616,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ p9(X15_1616,c32) ),
inference(resolution,[status(thm)],[c_124191,c_41285]) ).
tff(c_24,plain,
! [X29_12] : p16(X29_12,X29_12),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_6,plain,
! [X99_3] : p7(X99_3,X99_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_482,plain,
! [X45_282,X47_283,X46_284,X48_285] :
( ~ p7(X45_282,X47_283)
| ~ p16(X46_284,X48_285)
| p20(f21(X45_282,X46_284),f21(X47_283,X48_285)) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_40,plain,
! [X68_21] :
( ~ p16(X68_21,c40)
| p28(f21(c30,X68_21),c31) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_348,plain,
! [X66_236,X65_237,X67_238,X64_239] :
( ~ p16(X66_236,X65_237)
| ~ p28(X67_238,X66_236)
| ~ p20(X67_238,X64_239)
| p28(X64_239,X65_237) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_352,plain,
! [X67_240,X29_241,X64_242] :
( ~ p28(X67_240,X29_241)
| ~ p20(X67_240,X64_242)
| p28(X64_242,X29_241) ),
inference(resolution,[status(thm)],[c_24,c_348]) ).
tff(c_355,plain,
! [X68_21,X64_242] :
( ~ p20(f21(c30,X68_21),X64_242)
| p28(X64_242,c31)
| ~ p16(X68_21,c40) ),
inference(resolution,[status(thm)],[c_40,c_352]) ).
tff(c_1350,plain,
! [X47_405,X48_406,X46_407] :
( p28(f21(X47_405,X48_406),c31)
| ~ p16(X46_407,c40)
| ~ p7(c30,X47_405)
| ~ p16(X46_407,X48_406) ),
inference(resolution,[status(thm)],[c_482,c_355]) ).
tff(c_1354,plain,
! [X47_405,X48_406] :
( p28(f21(X47_405,X48_406),c31)
| ~ p7(c30,X47_405)
| ~ p16(c40,X48_406) ),
inference(resolution,[status(thm)],[c_24,c_1350]) ).
tff(c_34,plain,
~ p29(f5(c33,f8(c34,c30)),c38),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_719,plain,
! [X61_347,X62_348] :
( ~ p27(f12(c32,X61_347),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62_348),c31)
| p27(f12(c32,f14(f19(c35,X61_347),f17(c36,X62_348))),f5(c33,f8(c34,c30))) ),
inference(cnfTransformation,[status(thm)],[f_338]) ).
tff(c_36,plain,
! [X59_18,X60_17] :
( ~ p27(f12(c32,X59_18),X60_17)
| p29(X60_17,X59_18) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_723,plain,
! [X61_347,X62_348] :
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,X61_347),f17(c36,X62_348)))
| ~ p27(f12(c32,X61_347),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X62_348),c31) ),
inference(resolution,[status(thm)],[c_719,c_36]) ).
tff(c_82,plain,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_158,plain,
! [X0_1,X1_158] :
( ~ p10(X0_1,X1_158)
| p10(X1_158,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_152]) ).
tff(c_466,plain,
p10(f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40)),c38),
inference(resolution,[status(thm)],[c_82,c_158]) ).
tff(c_28,plain,
! [X19_14] : p13(X19_14,X19_14),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_739,plain,
! [X72_351,X69_352,X7_353] :
( ~ p4(X72_351,X69_352)
| ~ p29(X72_351,X7_353)
| p29(X69_352,f14(f19(c35,X7_353),c41)) ),
inference(resolution,[status(thm)],[c_168,c_305]) ).
tff(c_760,plain,
! [X81_5,X7_353] :
( ~ p29(X81_5,X7_353)
| p29(X81_5,f14(f19(c35,X7_353),c41)) ),
inference(resolution,[status(thm)],[c_10,c_739]) ).
tff(c_397,plain,
! [X3_251,X5_252,X4_253,X6_254] :
( ~ p13(X3_251,X5_252)
| ~ p10(X4_253,X6_254)
| p10(f14(X3_251,X4_253),f14(X5_252,X6_254)) ),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_76,plain,
! [X71_71,X70_69,X72_70,X69_68] :
( ~ p10(X71_71,X70_69)
| ~ p4(X72_70,X69_68)
| ~ p29(X72_70,X71_71)
| p29(X69_68,X70_69) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_9481,plain,
! [X72_637,X4_639,X3_640,X69_636,X6_638,X5_641] :
( ~ p4(X72_637,X69_636)
| ~ p29(X72_637,f14(X3_640,X4_639))
| p29(X69_636,f14(X5_641,X6_638))
| ~ p13(X3_640,X5_641)
| ~ p10(X4_639,X6_638) ),
inference(resolution,[status(thm)],[c_397,c_76]) ).
tff(c_10454,plain,
! [X5_666,X81_664,X4_667,X3_665,X6_668] :
( ~ p29(X81_664,f14(X3_665,X4_667))
| p29(X81_664,f14(X5_666,X6_668))
| ~ p13(X3_665,X5_666)
| ~ p10(X4_667,X6_668) ),
inference(resolution,[status(thm)],[c_10,c_9481]) ).
tff(c_20562,plain,
! [X81_1047,X5_1048,X6_1049,X7_1050] :
( p29(X81_1047,f14(X5_1048,X6_1049))
| ~ p13(f19(c35,X7_1050),X5_1048)
| ~ p10(c41,X6_1049)
| ~ p29(X81_1047,X7_1050) ),
inference(resolution,[status(thm)],[c_760,c_10454]) ).
tff(c_20574,plain,
! [X81_1047,X7_1050,X6_1049] :
( p29(X81_1047,f14(f19(c35,X7_1050),X6_1049))
| ~ p10(c41,X6_1049)
| ~ p29(X81_1047,X7_1050) ),
inference(resolution,[status(thm)],[c_28,c_20562]) ).
tff(c_171,plain,
! [X7_161] : p10(X7_161,f14(f19(c35,X7_161),c41)),
inference(resolution,[status(thm)],[c_32,c_163]) ).
tff(c_44,plain,
! [X0_24,X2_23,X1_22] :
( ~ p10(X0_24,X2_23)
| ~ p10(X0_24,X1_22)
| p10(X1_22,X2_23) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_319,plain,
! [X7_232,X1_233] :
( ~ p10(X7_232,X1_233)
| p10(X1_233,f14(f19(c35,X7_232),c41)) ),
inference(resolution,[status(thm)],[c_171,c_44]) ).
tff(c_334,plain,
! [X7_234,X1_235] :
( p10(f14(f19(c35,X7_234),c41),X1_235)
| ~ p10(X7_234,X1_235) ),
inference(resolution,[status(thm)],[c_319,c_158]) ).
tff(c_21052,plain,
! [X72_1072,X69_1073,X7_1074,X1_1075] :
( ~ p4(X72_1072,X69_1073)
| ~ p29(X72_1072,f14(f19(c35,X7_1074),c41))
| p29(X69_1073,X1_1075)
| ~ p10(X7_1074,X1_1075) ),
inference(resolution,[status(thm)],[c_334,c_76]) ).
tff(c_21085,plain,
! [X81_1081,X7_1082,X1_1083] :
( ~ p29(X81_1081,f14(f19(c35,X7_1082),c41))
| p29(X81_1081,X1_1083)
| ~ p10(X7_1082,X1_1083) ),
inference(resolution,[status(thm)],[c_10,c_21052]) ).
tff(c_21088,plain,
! [X81_1047,X1_1083,X7_1050] :
( p29(X81_1047,X1_1083)
| ~ p10(X7_1050,X1_1083)
| ~ p10(c41,c41)
| ~ p29(X81_1047,X7_1050) ),
inference(resolution,[status(thm)],[c_20574,c_21085]) ).
tff(c_21123,plain,
! [X81_1084,X1_1085,X7_1086] :
( p29(X81_1084,X1_1085)
| ~ p10(X7_1086,X1_1085)
| ~ p29(X81_1084,X7_1086) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_21088]) ).
tff(c_28362,plain,
! [X81_1287] :
( p29(X81_1287,c38)
| ~ p29(X81_1287,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))) ),
inference(resolution,[status(thm)],[c_466,c_21123]) ).
tff(c_28405,plain,
( p29(f5(c33,f8(c34,c30)),c38)
| ~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,c40),c31) ),
inference(resolution,[status(thm)],[c_723,c_28362]) ).
tff(c_28434,plain,
( ~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,c40),c31) ),
inference(negUnitSimplification,[status(thm)],[c_34,c_28405]) ).
tff(c_419861,plain,
~ p28(f21(c30,c40),c31),
inference(splitLeft,[status(thm)],[c_28434]) ).
tff(c_419864,plain,
( ~ p7(c30,c30)
| ~ p16(c40,c40) ),
inference(resolution,[status(thm)],[c_1354,c_419861]) ).
tff(c_419874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_6,c_419864]) ).
tff(c_419875,plain,
~ p27(f12(c32,f14(f19(c35,c37),c39)),f5(c33,f8(c34,c30))),
inference(splitRight,[status(thm)],[c_28434]) ).
tff(c_419902,plain,
~ p9(c32,c32),
inference(resolution,[status(thm)],[c_125629,c_419875]) ).
tff(c_419936,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_419902]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 17:42:08 EDT 2023
% 0.17/0.35 % CPUTime :
% 149.28/120.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.28/120.48
% 149.28/120.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 149.28/120.53
% 149.28/120.53 Inference rules
% 149.28/120.53 ----------------------
% 149.28/120.53 #Ref : 0
% 149.28/120.53 #Sup : 101617
% 149.28/120.53 #Fact : 0
% 149.28/120.53 #Define : 0
% 149.28/120.53 #Split : 11
% 149.28/120.53 #Chain : 0
% 149.28/120.53 #Close : 0
% 149.28/120.53
% 149.28/120.53 Ordering : KBO
% 149.28/120.53
% 149.28/120.53 Simplification rules
% 149.28/120.53 ----------------------
% 149.28/120.53 #Subsume : 26017
% 149.28/120.53 #Demod : 26639
% 149.28/120.53 #Tautology : 2559
% 149.28/120.53 #SimpNegUnit : 156
% 149.28/120.53 #BackRed : 0
% 149.28/120.53
% 149.28/120.53 #Partial instantiations: 0
% 149.28/120.53 #Strategies tried : 1
% 149.28/120.53
% 149.28/120.53 Timing (in seconds)
% 149.28/120.53 ----------------------
% 149.57/120.53 Preprocessing : 0.57
% 149.57/120.53 Parsing : 0.32
% 149.57/120.53 CNF conversion : 0.04
% 149.57/120.53 Main loop : 118.86
% 149.57/120.53 Inferencing : 6.82
% 149.57/120.53 Reduction : 19.13
% 149.57/120.54 Demodulation : 13.51
% 149.57/120.54 BG Simplification : 0.46
% 149.57/120.54 Subsumption : 78.34
% 149.57/120.54 Abstraction : 0.76
% 149.57/120.54 MUC search : 0.00
% 149.57/120.54 Cooper : 0.00
% 149.57/120.54 Total : 119.51
% 149.57/120.54 Index Insertion : 0.00
% 149.57/120.54 Index Deletion : 0.00
% 149.57/120.54 Index Matching : 0.00
% 149.57/120.54 BG Taut test : 0.00
%------------------------------------------------------------------------------