%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL642+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:02 PM UTC 2026
% Result : Theorem 10.67s 2.74s
% Output : CNFRefutation 10.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f54ERROR: Could not build tree for root c_27394ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
! [X0] :
( ~ sP47(X0)
| ( ( ? [X20] :
( p2(X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& r1(X0,X20) )
| p2(X0) )
& ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ! [X19] :
( p2(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p2(X17)
& r1(X0,X17) )
| sP46(X0) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f58,plain,
! [X0] :
( ~ sP47(X0)
| ( ( ? [X4] :
( p2(X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
| p2(X0) )
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP46(X0) ) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ~ sP47(X0)
| ( ( ( p2(sK49(X0))
& ~ p2(sK50(X0))
& r1(sK49(X0),sK50(X0))
& r1(X0,sK49(X0)) )
| p2(X0) )
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK48(X0),X2) )
& ~ p2(sK48(X0))
& r1(X0,sK48(X0)) )
| sP46(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49,sK50]),skolemize(X1,sK48(X0)),skolemize(X4,sK49(X0)),skolemize(X5,sK50(X0))],[f58]) ).
fof(f60,plain,
! [X0] :
( ~ sP46(X0)
| ! [X13] :
( ! [X14] :
( ? [X15] :
( p2(X15)
& ? [X16] :
( ~ p2(X16)
& r1(X15,X16) )
& r1(X14,X15) )
| p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X0,X13) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f61,plain,
! [X0] :
( ~ sP46(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ~ sP46(X0)
| ! [X1] :
( ! [X2] :
( ( p2(sK51(X2))
& ~ p2(sK52(X2))
& r1(sK51(X2),sK52(X2))
& r1(X2,sK51(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52]),skolemize(X3,sK51(X2)),skolemize(X4,sK52(X2))],[f61]) ).
fof(f63,plain,
! [X22] :
( ~ sP45(X22)
| ( ! [X27] :
( ? [X28] :
( p2(X28)
& ? [X29] :
( ~ p2(X29)
& r1(X28,X29) )
& r1(X27,X28) )
| p2(X27)
| ~ r1(X22,X27) )
& ? [X23] :
( ? [X24] :
( ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& ~ p2(X24)
& r1(X23,X24) )
& r1(X22,X23) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f64,plain,
! [X0] :
( ~ sP45(X0)
| ( ! [X5] :
( ? [X6] :
( p2(X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& r1(X5,X6) )
| p2(X5)
| ~ r1(X0,X5) )
& ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ~ sP45(X0)
| ( ! [X5] :
( ( p2(sK55(X5))
& ~ p2(sK56(X5))
& r1(sK55(X5),sK56(X5))
& r1(X5,sK55(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK54(X0),X3) )
& ~ p2(sK54(X0))
& r1(sK53(X0),sK54(X0))
& r1(X0,sK53(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X1,sK53(X0)),skolemize(X2,sK54(X0)),skolemize(X6,sK55(X5)),skolemize(X7,sK56(X5))],[f64]) ).
fof(f66,plain,
! [X32] :
( ~ sP44(X32)
| ! [X33] :
( ( ( ? [X41] :
( p2(X41)
& ? [X42] :
( ~ p2(X42)
& r1(X41,X42) )
& r1(X33,X41) )
| p2(X33) )
& ( ? [X38] :
( ! [X39] :
( ~ p2(X39)
| ! [X40] :
( p2(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
& ~ p2(X38)
& r1(X33,X38) )
| sP42(X33) ) )
| ~ r1(X32,X33) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f67,plain,
! [X0] :
( ~ sP44(X0)
| ! [X1] :
( ( ( ? [X5] :
( p2(X5)
& ? [X6] :
( ~ p2(X6)
& r1(X5,X6) )
& r1(X1,X5) )
| p2(X1) )
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP42(X1) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ~ sP44(X0)
| ! [X1] :
( ( ( ( p2(sK58(X1))
& ~ p2(sK59(X1))
& r1(sK58(X1),sK59(X1))
& r1(X1,sK58(X1)) )
| p2(X1) )
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK57(X1),X3) )
& ~ p2(sK57(X1))
& r1(X1,sK57(X1)) )
| sP42(X1) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58,sK59]),skolemize(X2,sK57(X1)),skolemize(X5,sK58(X1)),skolemize(X6,sK59(X1))],[f67]) ).
fof(f69,plain,
! [X32] :
( ~ sP43(X32)
| ( ! [X47] :
( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p2(X47)
| ~ r1(X32,X47) )
& ? [X43] :
( ? [X44] :
( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
& ~ p2(X44)
& r1(X43,X44) )
& r1(X32,X43) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f70,plain,
! [X0] :
( ~ sP43(X0)
| ( ! [X5] :
( ? [X6] :
( p2(X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& r1(X5,X6) )
| p2(X5)
| ~ r1(X0,X5) )
& ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ sP43(X0)
| ( ! [X5] :
( ( p2(sK62(X5))
& ~ p2(sK63(X5))
& r1(sK62(X5),sK63(X5))
& r1(X5,sK62(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK61(X0),X3) )
& ~ p2(sK61(X0))
& r1(sK60(X0),sK61(X0))
& r1(X0,sK60(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61,sK62,sK63]),skolemize(X1,sK60(X0)),skolemize(X2,sK61(X0)),skolemize(X6,sK62(X5)),skolemize(X7,sK63(X5))],[f70]) ).
fof(f197,plain,
? [X0] :
( ! [X77] :
( ? [X78] :
( ! [X79] :
( ~ p2(X79)
| ! [X80] :
( p2(X80)
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
& ~ p2(X78)
& r1(X77,X78) )
| p2(X77)
| ~ r1(X0,X77) )
& ( ? [X71] :
( ! [X73] :
( ( ? [X76] : r1(X73,X76)
& ~ p1(X73) )
| ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X71,X73) )
& ? [X72] : r1(X71,X72)
& ~ p1(X71)
& r1(X0,X71) )
| ! [X70] : ~ r1(X0,X70)
| p1(X0) )
& ( ? [X64] :
( ! [X66] :
( ( ? [X69] : r1(X66,X69)
& ~ p1(X66)
& ~ p2(X66) )
| ! [X67] :
( ! [X68] : ~ r1(X67,X68)
| p1(X67)
| p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
& ? [X65] : r1(X64,X65)
& ~ p1(X64)
& ~ p2(X64)
& r1(X0,X64) )
| ! [X63] : ~ r1(X0,X63)
| p1(X0)
| p2(X0) )
& ( ? [X61] :
( sP0(X61)
& ? [X62] : r1(X61,X62)
& ~ p1(X61)
& ~ p2(X61)
& ~ p3(X61)
& r1(X0,X61) )
| ! [X60] : ~ r1(X0,X60)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X58] :
( sP1(X58)
& ? [X59] : r1(X58,X59)
& ~ p1(X58)
& ~ p2(X58)
& ~ p3(X58)
& ~ p4(X58)
& r1(X0,X58) )
| ! [X57] : ~ r1(X0,X57)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X56] :
( sP2(X56)
& sP3(X56)
& ~ p1(X56)
& r1(X0,X56) )
| ! [X54] :
( ! [X55] : ~ r1(X54,X55)
| p1(X54)
| p2(X54)
| p3(X54)
| p4(X54)
| ~ r1(X0,X54) )
| p1(X0) )
& ( ? [X53] :
( sP4(X53)
& sP5(X53)
& ~ p1(X53)
& ~ p2(X53)
& r1(X0,X53) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X0,X51) )
| p1(X0)
| p2(X0) )
& ( ? [X50] :
( sP8(X50)
& sP7(X50)
& ~ p1(X50)
& ~ p2(X50)
& ~ p3(X50)
& r1(X0,X50) )
| ! [X48] :
( ! [X49] : ~ r1(X48,X49)
| p1(X48)
| p2(X48)
| p3(X48)
| p4(X48)
| ~ r1(X0,X48) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X47] :
( sP11(X47)
& sP10(X47)
& ~ p1(X47)
& ~ p2(X47)
& ~ p3(X47)
& ~ p4(X47)
& r1(X0,X47) )
| ! [X45] :
( ! [X46] : ~ r1(X45,X46)
| p1(X45)
| p2(X45)
| p3(X45)
| p4(X45)
| ~ r1(X0,X45) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X44] :
( sP14(X44)
& sP15(X44)
& ~ p1(X44)
& r1(X0,X44) )
| ! [X41] :
( ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X41,X42) )
| p1(X41)
| p2(X41)
| p3(X41)
| p4(X41)
| ~ r1(X0,X41) )
| p1(X0) )
& ( ? [X40] :
( sP18(X40)
& sP19(X40)
& ~ p1(X40)
& ~ p2(X40)
& r1(X0,X40) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| p2(X37)
| p3(X37)
| p4(X37)
| ~ r1(X0,X37) )
| p1(X0)
| p2(X0) )
& ( ? [X36] :
( sP24(X36)
& sP23(X36)
& ~ p1(X36)
& ~ p2(X36)
& ~ p3(X36)
& r1(X0,X36) )
| ! [X33] :
( ! [X34] :
( ! [X35] : ~ r1(X34,X35)
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(X33,X34) )
| p1(X33)
| p2(X33)
| p3(X33)
| p4(X33)
| ~ r1(X0,X33) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X32] :
( sP29(X32)
& sP28(X32)
& ~ p1(X32)
& ~ p2(X32)
& ~ p3(X32)
& ~ p4(X32)
& r1(X0,X32) )
| ! [X29] :
( ! [X30] :
( ! [X31] : ~ r1(X30,X31)
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X0,X29) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X28] :
( sP34(X28)
& sP35(X28)
& ~ p1(X28)
& r1(X0,X28) )
| ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X25,X26) )
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(X0,X24) )
| p1(X0) )
& ( ? [X23] :
( sP40(X23)
& sP41(X23)
& ~ p1(X23)
& ~ p2(X23)
& r1(X0,X23) )
| ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] : ~ r1(X21,X22)
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20)
| p4(X20)
| ~ r1(X19,X20) )
| p1(X19)
| p2(X19)
| p3(X19)
| p4(X19)
| ~ r1(X0,X19) )
| p1(X0)
| p2(X0) )
& ( ? [X13] :
( ! [X16] :
( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| sP43(X16)
| sP44(X16)
| ~ r1(X13,X16) )
& ( ( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13) )
| sP45(X13) )
& r1(X0,X13) )
| sP47(X0) )
& ! [X10] :
( ? [X11] :
( p1(X11)
& ? [X12] :
( ~ p1(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p1(X10)
| ~ r1(X0,X10) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ! [X6] :
( ? [X7] :
( p2(X7)
& ? [X8] :
( ~ p2(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p2(X6)
| ~ r1(X0,X6) )
& ? [X5] :
( ~ p2(X5)
& r1(X0,X5) )
& ! [X2] :
( ? [X3] :
( p3(X3)
& ? [X4] :
( ~ p3(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p3(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p3(X1)
& r1(X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f198,plain,
( ! [X77] :
( ( ! [X79] :
( ~ p2(X79)
| ! [X80] :
( p2(X80)
| ~ r1(X79,X80) )
| ~ r1(sK155(X77),X79) )
& ~ p2(sK155(X77))
& r1(X77,sK155(X77)) )
| p2(X77)
| ~ r1(sK124,X77) )
& ( ( ! [X73] :
( ( r1(X73,sK154(X73))
& ~ p1(X73) )
| ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| p1(X74)
| ~ r1(X73,X74) )
| ~ r1(sK152,X73) )
& r1(sK152,sK153)
& ~ p1(sK152)
& r1(sK124,sK152) )
| ! [X70] : ~ r1(sK124,X70)
| p1(sK124) )
& ( ( ! [X66] :
( ( r1(X66,sK151(X66))
& ~ p1(X66)
& ~ p2(X66) )
| ! [X67] :
( ! [X68] : ~ r1(X67,X68)
| p1(X67)
| p2(X67)
| ~ r1(X66,X67) )
| ~ r1(sK149,X66) )
& r1(sK149,sK150)
& ~ p1(sK149)
& ~ p2(sK149)
& r1(sK124,sK149) )
| ! [X63] : ~ r1(sK124,X63)
| p1(sK124)
| p2(sK124) )
& ( ( sP0(sK147)
& r1(sK147,sK148)
& ~ p1(sK147)
& ~ p2(sK147)
& ~ p3(sK147)
& r1(sK124,sK147) )
| ! [X60] : ~ r1(sK124,X60)
| p1(sK124)
| p2(sK124)
| p3(sK124) )
& ( ( sP1(sK145)
& r1(sK145,sK146)
& ~ p1(sK145)
& ~ p2(sK145)
& ~ p3(sK145)
& ~ p4(sK145)
& r1(sK124,sK145) )
| ! [X57] : ~ r1(sK124,X57)
| p1(sK124)
| p2(sK124)
| p3(sK124)
| p4(sK124) )
& ( ( sP2(sK144)
& sP3(sK144)
& ~ p1(sK144)
& r1(sK124,sK144) )
| ! [X54] :
( ! [X55] : ~ r1(X54,X55)
| p1(X54)
| p2(X54)
| p3(X54)
| p4(X54)
| ~ r1(sK124,X54) )
| p1(sK124) )
& ( ( sP4(sK143)
& sP5(sK143)
& ~ p1(sK143)
& ~ p2(sK143)
& r1(sK124,sK143) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(sK124,X51) )
| p1(sK124)
| p2(sK124) )
& ( ( sP8(sK142)
& sP7(sK142)
& ~ p1(sK142)
& ~ p2(sK142)
& ~ p3(sK142)
& r1(sK124,sK142) )
| ! [X48] :
( ! [X49] : ~ r1(X48,X49)
| p1(X48)
| p2(X48)
| p3(X48)
| p4(X48)
| ~ r1(sK124,X48) )
| p1(sK124)
| p2(sK124)
| p3(sK124) )
& ( ( sP11(sK141)
& sP10(sK141)
& ~ p1(sK141)
& ~ p2(sK141)
& ~ p3(sK141)
& ~ p4(sK141)
& r1(sK124,sK141) )
| ! [X45] :
( ! [X46] : ~ r1(X45,X46)
| p1(X45)
| p2(X45)
| p3(X45)
| p4(X45)
| ~ r1(sK124,X45) )
| p1(sK124)
| p2(sK124)
| p3(sK124)
| p4(sK124) )
& ( ( sP14(sK140)
& sP15(sK140)
& ~ p1(sK140)
& r1(sK124,sK140) )
| ! [X41] :
( ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X41,X42) )
| p1(X41)
| p2(X41)
| p3(X41)
| p4(X41)
| ~ r1(sK124,X41) )
| p1(sK124) )
& ( ( sP18(sK139)
& sP19(sK139)
& ~ p1(sK139)
& ~ p2(sK139)
& r1(sK124,sK139) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| p2(X37)
| p3(X37)
| p4(X37)
| ~ r1(sK124,X37) )
| p1(sK124)
| p2(sK124) )
& ( ( sP24(sK138)
& sP23(sK138)
& ~ p1(sK138)
& ~ p2(sK138)
& ~ p3(sK138)
& r1(sK124,sK138) )
| ! [X33] :
( ! [X34] :
( ! [X35] : ~ r1(X34,X35)
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(X33,X34) )
| p1(X33)
| p2(X33)
| p3(X33)
| p4(X33)
| ~ r1(sK124,X33) )
| p1(sK124)
| p2(sK124)
| p3(sK124) )
& ( ( sP29(sK137)
& sP28(sK137)
& ~ p1(sK137)
& ~ p2(sK137)
& ~ p3(sK137)
& ~ p4(sK137)
& r1(sK124,sK137) )
| ! [X29] :
( ! [X30] :
( ! [X31] : ~ r1(X30,X31)
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(sK124,X29) )
| p1(sK124)
| p2(sK124)
| p3(sK124)
| p4(sK124) )
& ( ( sP34(sK136)
& sP35(sK136)
& ~ p1(sK136)
& r1(sK124,sK136) )
| ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] : ~ r1(X26,X27)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X25,X26) )
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(sK124,X24) )
| p1(sK124) )
& ( ( sP40(sK135)
& sP41(sK135)
& ~ p1(sK135)
& ~ p2(sK135)
& r1(sK124,sK135) )
| ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] : ~ r1(X21,X22)
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20)
| p4(X20)
| ~ r1(X19,X20) )
| p1(X19)
| p2(X19)
| p3(X19)
| p4(X19)
| ~ r1(sK124,X19) )
| p1(sK124)
| p2(sK124) )
& ( ( ! [X16] :
( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| sP43(X16)
| sP44(X16)
| ~ r1(sK134,X16) )
& ( ( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(sK134,X14) )
& ~ p2(sK134) )
| sP45(sK134) )
& r1(sK124,sK134) )
| sP47(sK124) )
& ! [X10] :
( ( p1(sK132(X10))
& ~ p1(sK133(X10))
& r1(sK132(X10),sK133(X10))
& r1(X10,sK132(X10)) )
| p1(X10)
| ~ r1(sK124,X10) )
& ~ p1(sK131)
& r1(sK124,sK131)
& ! [X6] :
( ( p2(sK129(X6))
& ~ p2(sK130(X6))
& r1(sK129(X6),sK130(X6))
& r1(X6,sK129(X6)) )
| p2(X6)
| ~ r1(sK124,X6) )
& ~ p2(sK128)
& r1(sK124,sK128)
& ! [X2] :
( ( p3(sK126(X2))
& ~ p3(sK127(X2))
& r1(sK126(X2),sK127(X2))
& r1(X2,sK126(X2)) )
| p3(X2)
| ~ r1(sK124,X2) )
& ~ p3(sK125)
& r1(sK124,sK125) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124,sK125,sK126,sK127,sK128,sK129,sK130,sK131,sK132,sK133,sK134,sK135,sK136,sK137,sK138,sK139,sK140,sK141,sK142,sK143,sK144,sK145,sK146,sK147,sK148,sK149,sK150,sK151,sK152,sK153,sK154,sK155]),skolemize(X0,sK124),skolemize(X1,sK125),skolemize(X3,sK126(X2)),skolemize(X4,sK127(X2)),skolemize(X5,sK128),skolemize(X7,sK129(X6)),skolemize(X8,sK130(X6)),skolemize(X9,sK131),skolemize(X11,sK132(X10)),skolemize(X12,sK133(X10)),skolemize(X13,sK134),skolemize(X23,sK135),skolemize(X28,sK136),skolemize(X32,sK137),skolemize(X36,sK138),skolemize(X40,sK139),skolemize(X44,sK140),skolemize(X47,sK141),skolemize(X50,sK142),skolemize(X53,sK143),skolemize(X56,sK144),skolemize(X58,sK145),skolemize(X59,sK146),skolemize(X61,sK147),skolemize(X62,sK148),skolemize(X64,sK149),skolemize(X65,sK150),skolemize(X69,sK151(X66)),skolemize(X71,sK152),skolemize(X72,sK153),skolemize(X76,sK154(X73)),skolemize(X78,sK155(X77))],[f197]) ).
fof(f203,plain,
! [X2,X3,X0] :
( ~ sP47(X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK48(X0),X2)
| sP46(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f204,plain,
! [X0] :
( ~ sP47(X0)
| ~ p2(sK48(X0))
| sP46(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f205,plain,
! [X0] :
( ~ sP47(X0)
| r1(X0,sK48(X0))
| sP46(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ sP46(X0)
| p2(sK51(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ sP46(X0)
| ~ p2(sK52(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ sP46(X0)
| r1(sK51(X2),sK52(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ sP46(X0)
| r1(X2,sK51(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f210,plain,
! [X0,X5] :
( ~ sP45(X0)
| p2(sK55(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f65]) ).
fof(f211,plain,
! [X0,X5] :
( ~ sP45(X0)
| ~ p2(sK56(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f65]) ).
fof(f212,plain,
! [X0,X5] :
( ~ sP45(X0)
| r1(sK55(X5),sK56(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f65]) ).
fof(f213,plain,
! [X0,X5] :
( ~ sP45(X0)
| r1(X5,sK55(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f65]) ).
fof(f214,plain,
! [X3,X0,X4] :
( ~ sP45(X0)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK54(X0),X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f215,plain,
! [X0] :
( ~ sP45(X0)
| ~ p2(sK54(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f216,plain,
! [X0] :
( ~ sP45(X0)
| r1(sK53(X0),sK54(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f217,plain,
! [X0] :
( ~ sP45(X0)
| r1(X0,sK53(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sP44(X0)
| p2(sK58(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f219,plain,
! [X0,X1] :
( ~ sP44(X0)
| ~ p2(sK59(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f220,plain,
! [X0,X1] :
( ~ sP44(X0)
| r1(sK58(X1),sK59(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sP44(X0)
| r1(X1,sK58(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f224,plain,
! [X0,X1] :
( ~ sP44(X0)
| r1(X1,sK57(X1))
| sP42(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f225,plain,
! [X0,X5] :
( ~ sP43(X0)
| p2(sK62(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f71]) ).
fof(f226,plain,
! [X0,X5] :
( ~ sP43(X0)
| ~ p2(sK63(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f71]) ).
fof(f227,plain,
! [X0,X5] :
( ~ sP43(X0)
| r1(sK62(X5),sK63(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f71]) ).
fof(f228,plain,
! [X0,X5] :
( ~ sP43(X0)
| r1(X5,sK62(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f71]) ).
fof(f489,plain,
! [X80,X79,X77] :
( ~ p2(X79)
| p2(X80)
| ~ r1(X79,X80)
| ~ r1(sK155(X77),X79)
| p2(X77)
| ~ r1(sK124,X77) ),
inference(cnf_transformation,[],[f198]) ).
fof(f490,plain,
! [X77] :
( ~ p2(sK155(X77))
| p2(X77)
| ~ r1(sK124,X77) ),
inference(cnf_transformation,[],[f198]) ).
fof(f491,plain,
! [X77] :
( r1(X77,sK155(X77))
| p2(X77)
| ~ r1(sK124,X77) ),
inference(cnf_transformation,[],[f198]) ).
fof(f570,plain,
! [X18,X16,X17] :
( ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP43(X16)
| sP44(X16)
| ~ r1(sK134,X16)
| sP47(sK124) ),
inference(cnf_transformation,[],[f198]) ).
fof(f571,plain,
! [X16] :
( ~ p2(X16)
| sP43(X16)
| sP44(X16)
| ~ r1(sK134,X16)
| sP47(sK124) ),
inference(cnf_transformation,[],[f198]) ).
fof(f572,plain,
! [X14,X15] :
( ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15)
| ~ r1(sK134,X14)
| sP45(sK134)
| sP47(sK124) ),
inference(cnf_transformation,[],[f198]) ).
fof(f573,plain,
( ~ p2(sK134)
| sP45(sK134)
| sP47(sK124) ),
inference(cnf_transformation,[],[f198]) ).
fof(f574,plain,
( r1(sK124,sK134)
| sP47(sK124) ),
inference(cnf_transformation,[],[f198]) ).
fof(f581,plain,
! [X6] :
( p2(sK129(X6))
| p2(X6)
| ~ r1(sK124,X6) ),
inference(cnf_transformation,[],[f198]) ).
fof(f582,plain,
! [X6] :
( ~ p2(sK130(X6))
| p2(X6)
| ~ r1(sK124,X6) ),
inference(cnf_transformation,[],[f198]) ).
fof(f583,plain,
! [X6] :
( r1(sK129(X6),sK130(X6))
| p2(X6)
| ~ r1(sK124,X6) ),
inference(cnf_transformation,[],[f198]) ).
fof(f584,plain,
! [X6] :
( r1(X6,sK129(X6))
| p2(X6)
| ~ r1(sK124,X6) ),
inference(cnf_transformation,[],[f198]) ).
fof(f585,plain,
~ p2(sK128),
inference(cnf_transformation,[],[f198]) ).
fof(f586,plain,
r1(sK124,sK128),
inference(cnf_transformation,[],[f198]) ).
fof(f590,plain,
! [X2] :
( r1(X2,sK126(X2))
| p3(X2)
| ~ r1(sK124,X2) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_49,plain,
! [X0: $i] :
( sP46(X0)
| r1(X0,sK48(X0))
| ~ sP47(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_50,plain,
! [X0: $i] :
( sP46(X0)
| ~ sP47(X0)
| ~ p2(sK48(X0)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| sP46(X0)
| ~ p2(X1)
| ~ sP47(X0)
| ~ r1(X1,X2)
| ~ r1(sK48(X0),X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(X2,sK51(X2))
| ~ sP46(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(sK51(X2),sK52(X2))
| ~ sP46(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP46(X0)
| ~ p2(sK52(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(sK51(X2))
| ~ sP46(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(X0,sK53(X0))
| ~ sP45(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_61,plain,
! [X0: $i] :
( r1(sK53(X0),sK54(X0))
| ~ sP45(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ sP45(X0)
| ~ p2(sK54(X0)) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP45(X0)
| ~ p2(X1)
| ~ r1(X1,X2)
| ~ r1(sK54(X0),X1) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK55(X1))
| ~ sP45(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK55(X1),sK56(X1))
| ~ sP45(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP45(X0)
| ~ p2(sK56(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK55(X1))
| ~ sP45(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( sP42(X1)
| r1(X1,sK57(X1))
| ~ sP44(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK58(X1))
| ~ sP44(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK58(X1),sK59(X1))
| ~ sP44(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP44(X0)
| ~ p2(sK59(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK58(X1))
| ~ sP44(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK62(X1))
| ~ sP43(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK62(X1),sK63(X1))
| ~ sP43(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP43(X0)
| ~ p2(sK63(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK62(X1))
| ~ sP43(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_341,negated_conjecture,
! [X0: $i] :
( p3(X0)
| r1(X0,sK126(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_345,negated_conjecture,
r1(sK124,sK128),
inference(cnf_transformation,[],[f586]) ).
tcf(c_346,negated_conjecture,
~ p2(sK128),
inference(cnf_transformation,[],[f585]) ).
tcf(c_347,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(X0,sK129(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(sK129(X0),sK130(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ p2(sK130(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f582]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( p2(X0)
| p2(sK129(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_357,negated_conjecture,
( sP47(sK124)
| r1(sK124,sK134) ),
inference(cnf_transformation,[],[f574]) ).
tcf(c_358,negated_conjecture,
( sP45(sK134)
| sP47(sK124)
| ~ p2(sK134) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_359,negated_conjecture,
! [X0: $i,X1: $i] :
( sP45(sK134)
| sP47(sK124)
| p2(X1)
| ~ p2(X0)
| ~ r1(sK134,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( sP47(sK124)
| sP43(X0)
| sP44(X0)
| ~ p2(X0)
| ~ r1(sK134,X0) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_361,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP47(sK124)
| sP43(X0)
| sP44(X0)
| p2(X2)
| ~ p2(X1)
| ~ r1(sK134,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(X0,sK155(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ p2(sK155(X0))
| ~ r1(sK124,X0) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(X0)
| ~ p2(X1)
| ~ r1(sK124,X0)
| ~ r1(X1,X2)
| ~ r1(sK155(X0),X1) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_638,plain,
( sP46(sK124)
| ~ sP47(sK124)
| ~ p2(sK48(sK124)) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_639,plain,
( sP46(sK124)
| r1(sK124,sK48(sK124))
| ~ sP47(sK124) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_12437,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| p2(X1)
| ~ p2(X0)
| ~ r1(sK134,X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_359]) ).
tcf(c_12438,negated_conjecture,
( iPr_def_11
| sP45(sK134)
| sP47(sK124) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).
tcf(c_12513,plain,
( p2(sK128)
| r1(sK128,sK155(sK128))
| ~ r1(sK124,sK128) ),
inference(instantiation,[status(thm)],[c_440]) ).
tcf(c_12517,plain,
( p2(sK128)
| ~ p2(sK155(sK128))
| ~ r1(sK124,sK128) ),
inference(instantiation,[status(thm)],[c_441]) ).
tcf(c_12542,plain,
( ~ sP45(sK134)
| ~ p2(sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_12572,plain,
! [X0: $i,X1: $i] :
( p2(sK155(sK128))
| ~ sP46(X1)
| ~ r1(X1,X0)
| ~ p2(sK52(sK155(sK128)))
| ~ r1(X0,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_12625,plain,
! [X0: $i] :
( p2(sK54(sK134))
| ~ sP44(X0)
| ~ p2(sK59(sK54(sK134)))
| ~ r1(X0,sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_12834,plain,
( r1(sK134,sK53(sK134))
| ~ sP45(sK134) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_12850,plain,
! [X0: $i] :
( p2(sK155(sK128))
| ~ sP46(X0)
| ~ r1(X0,sK128)
| ~ p2(sK52(sK155(sK128)))
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_12572]) ).
tcf(c_12851,plain,
( p2(sK155(sK128))
| ~ sP46(sK124)
| ~ r1(sK124,sK128)
| ~ p2(sK52(sK155(sK128)))
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_12850]) ).
tcf(c_12892,plain,
( p2(sK134)
| sP47(sK124)
| p2(sK129(sK134)) ),
inference(superposition,[status(thm)],[c_357,c_350]) ).
tcf(c_13011,plain,
( p2(sK134)
| sP47(sK124)
| ~ p2(sK130(sK134)) ),
inference(superposition,[status(thm)],[c_357,c_349]) ).
tcf(c_13059,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK52(sK155(sK128)))
| ~ p2(X0)
| ~ r1(sK124,X1)
| ~ r1(sK155(X1),X0)
| ~ r1(X0,sK52(sK155(sK128))) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_13104,plain,
! [X0: $i] :
( p2(X0)
| p2(sK52(sK155(sK128)))
| ~ r1(sK124,X0)
| ~ p2(sK51(sK155(X0)))
| ~ r1(sK155(X0),sK51(sK155(X0)))
| ~ r1(sK51(sK155(X0)),sK52(sK155(sK128))) ),
inference(instantiation,[status(thm)],[c_13059]) ).
tcf(c_13158,plain,
( sP46(sK124)
| p2(sK48(sK124))
| ~ sP47(sK124)
| ~ p2(sK130(sK48(sK124))) ),
inference(superposition,[status(thm)],[c_49,c_349]) ).
tcf(c_13160,plain,
( sP46(sK124)
| p2(sK48(sK124))
| p2(sK129(sK48(sK124)))
| ~ sP47(sK124) ),
inference(superposition,[status(thm)],[c_49,c_350]) ).
tcf(c_13201,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK155(X1))
| r1(sK155(X1),sK51(sK155(X1)))
| ~ sP46(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK155(X1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_13250,plain,
! [X0: $i] :
( p2(sK155(sK128))
| r1(sK155(sK128),sK51(sK155(sK128)))
| ~ sP46(X0)
| ~ r1(X0,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_13201]) ).
tcf(c_13251,plain,
( p2(sK155(sK128))
| r1(sK155(sK128),sK51(sK155(sK128)))
| ~ sP46(sK124)
| ~ r1(sK124,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_13250]) ).
tcf(c_13256,plain,
( p2(sK128)
| p2(sK52(sK155(sK128)))
| ~ r1(sK124,sK128)
| ~ p2(sK51(sK155(sK128)))
| ~ r1(sK155(sK128),sK51(sK155(sK128)))
| ~ r1(sK51(sK155(sK128)),sK52(sK155(sK128))) ),
inference(instantiation,[status(thm)],[c_13104]) ).
tcf(c_13324,plain,
! [X0: $i,X1: $i] :
( p2(sK155(sK128))
| r1(sK51(sK155(sK128)),sK52(sK155(sK128)))
| ~ sP46(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_13343,plain,
! [X0: $i] :
( p2(sK48(X0))
| r1(sK129(sK48(X0)),sK130(sK48(X0)))
| ~ r1(sK124,sK48(X0)) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_13344,plain,
! [X0: $i] :
( p2(sK48(X0))
| r1(sK48(X0),sK129(sK48(X0)))
| ~ r1(sK124,sK48(X0)) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_13351,plain,
( p2(sK48(sK124))
| r1(sK48(sK124),sK129(sK48(sK124)))
| ~ r1(sK124,sK48(sK124)) ),
inference(instantiation,[status(thm)],[c_13344]) ).
tcf(c_13352,plain,
( p2(sK48(sK124))
| r1(sK129(sK48(sK124)),sK130(sK48(sK124)))
| ~ r1(sK124,sK48(sK124)) ),
inference(instantiation,[status(thm)],[c_13343]) ).
tcf(c_13436,plain,
! [X0: $i] :
( p2(sK53(sK134))
| ~ sP45(X0)
| ~ p2(sK56(sK53(sK134)))
| ~ r1(X0,sK53(sK134)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_13800,plain,
! [X0: $i] :
( p2(sK54(sK134))
| r1(sK54(sK134),sK58(sK54(sK134)))
| ~ sP44(X0)
| ~ r1(X0,sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_13914,plain,
( p2(sK53(sK134))
| ~ sP45(sK134)
| ~ p2(sK56(sK53(sK134)))
| ~ r1(sK134,sK53(sK134)) ),
inference(instantiation,[status(thm)],[c_13436]) ).
tcf(c_14005,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ sP45(sK134)
| ~ p2(sK53(sK134)) ),
inference(resolution,[status(thm)],[c_360,c_60]) ).
tcf(c_14258,plain,
! [X0: $i,X1: $i] :
( sP47(sK124)
| p2(X1)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ sP45(sK134)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK53(sK134),X0) ),
inference(resolution,[status(thm)],[c_361,c_60]) ).
tcf(c_14440,plain,
! [X0: $i] :
( p2(sK53(X0))
| p2(sK55(sK53(X0)))
| ~ sP45(X0) ),
inference(resolution,[status(thm)],[c_67,c_60]) ).
tcf(c_14475,plain,
( p2(sK54(sK134))
| r1(sK54(sK134),sK58(sK54(sK134)))
| ~ sP44(sK53(sK134))
| ~ r1(sK53(sK134),sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_13800]) ).
tcf(c_14485,plain,
( p2(sK54(sK134))
| ~ sP44(sK53(sK134))
| ~ p2(sK59(sK54(sK134)))
| ~ r1(sK53(sK134),sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_12625]) ).
tcf(c_14601,plain,
! [X0: $i,X1: $i] :
( p2(sK59(sK54(sK134)))
| ~ sP45(X1)
| ~ p2(X0)
| ~ r1(sK54(X1),X0)
| ~ r1(X0,sK59(sK54(sK134))) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_14629,plain,
( p2(sK134)
| r1(sK129(sK134),sK130(sK134))
| ~ r1(sK124,sK134) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_14630,plain,
( p2(sK134)
| r1(sK134,sK129(sK134))
| ~ r1(sK124,sK134) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_14657,plain,
! [X0: $i] :
( p2(sK54(X0))
| p2(sK62(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(superposition,[status(thm)],[c_61,c_82]) ).
tcf(c_14888,plain,
! [X0: $i] :
( p2(sK53(X0))
| r1(sK53(X0),sK55(sK53(X0)))
| ~ sP45(X0) ),
inference(resolution,[status(thm)],[c_64,c_60]) ).
tcf(c_14913,plain,
! [X0: $i] :
( p2(sK130(sK134))
| ~ iPr_def_11
| ~ p2(X0)
| ~ r1(sK134,X0)
| ~ r1(X0,sK130(sK134)) ),
inference(instantiation,[status(thm)],[c_12437]) ).
tcf(c_15096,plain,
( p2(sK130(sK134))
| ~ iPr_def_11
| ~ p2(sK129(sK134))
| ~ r1(sK134,sK129(sK134))
| ~ r1(sK129(sK134),sK130(sK134)) ),
inference(instantiation,[status(thm)],[c_14913]) ).
tcf(c_15343,plain,
! [X0: $i] :
( p2(sK53(X0))
| r1(sK55(sK53(X0)),sK56(sK53(X0)))
| ~ sP45(X0) ),
inference(resolution,[status(thm)],[c_65,c_60]) ).
tcf(c_15545,plain,
! [X0: $i] :
( p2(sK59(sK54(sK134)))
| ~ sP45(sK134)
| ~ p2(X0)
| ~ r1(sK54(sK134),X0)
| ~ r1(X0,sK59(sK54(sK134))) ),
inference(instantiation,[status(thm)],[c_14601]) ).
tcf(c_15620,plain,
( sP47(sK124)
| sP45(sK134) ),
inference(global_subsumption_just,[status(thm)],[c_12438,c_357,c_358,c_12438,c_12892,c_13011,c_14630,c_14629,c_15096]) ).
tcf(c_15621,negated_conjecture,
( sP45(sK134)
| sP47(sK124) ),
inference(renaming,[status(thm)],[c_15620]) ).
tcf(c_15950,plain,
( r1(sK53(sK134),sK54(sK134))
| ~ sP45(sK134) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_16247,negated_conjecture,
( sP45(sK134)
| sP47(sK124) ),
inference(global_subsumption_just,[status(thm)],[c_358,c_15621]) ).
tcf(c_16257,plain,
! [X0: $i,X1: $i] :
( sP47(sK124)
| p2(X1)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK53(sK134),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14258,c_16247]) ).
tcf(c_16258,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ p2(sK53(sK134)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14005,c_16247]) ).
tcf(c_16659,plain,
( p2(sK59(sK54(sK134)))
| ~ sP45(sK134)
| ~ p2(sK58(sK54(sK134)))
| ~ r1(sK54(sK134),sK58(sK54(sK134)))
| ~ r1(sK58(sK54(sK134)),sK59(sK54(sK134))) ),
inference(instantiation,[status(thm)],[c_15545]) ).
tcf(c_16679,plain,
! [X0: $i] :
( sP47(sK124)
| p2(X0)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ sP45(sK134)
| ~ p2(sK54(sK134))
| ~ r1(sK54(sK134),X0) ),
inference(resolution,[status(thm)],[c_16257,c_61]) ).
tcf(c_16931,plain,
! [X0: $i] :
( sP47(sK124)
| p2(X0)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| p2(sK53(sK134))
| ~ sP45(sK134)
| ~ p2(sK55(sK53(sK134)))
| ~ r1(sK55(sK53(sK134)),X0) ),
inference(resolution,[status(thm)],[c_14888,c_16257]) ).
tcf(c_17534,plain,
( sP47(sK124)
| ~ p2(sK54(sK134)) ),
inference(global_subsumption_just,[status(thm)],[c_16679,c_357,c_358,c_12438,c_12542,c_12892,c_13011,c_14630,c_14629,c_15096]) ).
tcf(c_17842,plain,
! [X0: $i] :
( sP47(sK124)
| p2(X0)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ p2(sK55(sK53(sK134)))
| ~ r1(sK55(sK53(sK134)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_16931,c_15621,c_16258,c_16931]) ).
tcf(c_17870,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| p3(sK55(sK53(sK134)))
| p2(sK126(sK55(sK53(sK134))))
| ~ p2(sK55(sK53(sK134)))
| ~ r1(sK124,sK55(sK53(sK134))) ),
inference(resolution,[status(thm)],[c_17842,c_341]) ).
tcf(c_17874,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| p2(sK53(sK134))
| p2(sK56(sK53(sK134)))
| ~ sP45(sK134)
| ~ p2(sK55(sK53(sK134))) ),
inference(resolution,[status(thm)],[c_17842,c_15343]) ).
tcf(c_17875,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| ~ p2(sK55(sK53(sK134))) ),
inference(global_subsumption_just,[status(thm)],[c_17870,c_12834,c_13914,c_15621,c_16258,c_17874]) ).
tcf(c_17893,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134))
| p2(sK53(sK134))
| ~ sP45(sK134) ),
inference(resolution,[status(thm)],[c_17875,c_14440]) ).
tcf(c_17917,plain,
( sP47(sK124)
| sP43(sK53(sK134))
| sP44(sK53(sK134)) ),
inference(global_subsumption_just,[status(thm)],[c_17893,c_15621,c_16258,c_17893]) ).
tcf(c_18146,plain,
! [X0: $i] :
( p2(sK54(X0))
| p2(sK62(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(resolution,[status(thm)],[c_82,c_61]) ).
tcf(c_18658,plain,
! [X0: $i] :
( p2(sK54(X0))
| r1(sK54(X0),sK62(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(resolution,[status(thm)],[c_79,c_61]) ).
tcf(c_18903,plain,
! [X0: $i] :
( p2(sK54(X0))
| ~ sP45(X0)
| ~ sP43(sK53(X0))
| ~ p2(sK63(sK54(X0))) ),
inference(superposition,[status(thm)],[c_61,c_81]) ).
tcf(c_19045,plain,
! [X0: $i] :
( p2(sK54(X0))
| r1(sK62(sK54(X0)),sK63(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(resolution,[status(thm)],[c_80,c_61]) ).
tcf(c_20069,plain,
! [X0: $i] :
( ~ sP43(sK53(X0))
| ~ sP45(X0)
| p2(sK62(sK54(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_18146,c_62,c_14657]) ).
tcf(c_20070,plain,
! [X0: $i] :
( p2(sK62(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(renaming,[status(thm)],[c_20069]) ).
tcf(c_20448,plain,
( sP42(sK134)
| sP47(sK124)
| r1(sK134,sK57(sK134))
| ~ sP44(sK124) ),
inference(superposition,[status(thm)],[c_357,c_68]) ).
tcf(c_21915,plain,
! [X0: $i] :
( p2(sK54(sK134))
| r1(sK58(sK54(sK134)),sK59(sK54(sK134)))
| ~ sP44(X0)
| ~ r1(X0,sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_22371,plain,
! [X0: $i] :
( ~ sP43(sK53(X0))
| ~ sP45(X0)
| r1(sK54(X0),sK62(sK54(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_18658,c_62,c_18658]) ).
tcf(c_22372,plain,
! [X0: $i] :
( r1(sK54(X0),sK62(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(renaming,[status(thm)],[c_22371]) ).
tcf(c_22618,plain,
( p2(sK54(sK134))
| r1(sK58(sK54(sK134)),sK59(sK54(sK134)))
| ~ sP44(sK53(sK134))
| ~ r1(sK53(sK134),sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_21915]) ).
tcf(c_22761,plain,
! [X0: $i] :
( ~ sP43(sK53(X0))
| ~ sP45(X0)
| r1(sK62(sK54(X0)),sK63(sK54(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_19045,c_62,c_19045]) ).
tcf(c_22762,plain,
! [X0: $i] :
( r1(sK62(sK54(X0)),sK63(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(renaming,[status(thm)],[c_22761]) ).
tcf(c_22951,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP45(X0)
| ~ sP43(sK53(X0))
| ~ p2(sK62(sK54(X0)))
| ~ r1(sK62(sK54(X0)),X1) ),
inference(resolution,[status(thm)],[c_22372,c_63]) ).
tcf(c_24991,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP45(X0)
| ~ sP43(sK53(X0))
| ~ r1(sK62(sK54(X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_22951,c_20070,c_22951]) ).
tcf(c_25014,plain,
! [X0: $i] :
( p3(sK62(sK54(X0)))
| p2(sK126(sK62(sK54(X0))))
| ~ sP45(X0)
| ~ sP43(sK53(X0))
| ~ r1(sK124,sK62(sK54(X0))) ),
inference(resolution,[status(thm)],[c_24991,c_341]) ).
tcf(c_25020,plain,
! [X0: $i] :
( p2(sK63(sK54(X0)))
| ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(resolution,[status(thm)],[c_24991,c_22762]) ).
tcf(c_25022,plain,
! [X0: $i] :
( ~ sP45(X0)
| ~ sP43(sK53(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_25014,c_62,c_18903,c_25020]) ).
tcf(c_25052,plain,
( sP47(sK124)
| sP44(sK53(sK134))
| ~ sP45(sK134) ),
inference(resolution,[status(thm)],[c_25022,c_17917]) ).
tcf(c_25053,plain,
( sP47(sK124)
| sP44(sK53(sK134)) ),
inference(global_subsumption_just,[status(thm)],[c_25052,c_15621,c_25052]) ).
tcf(c_25309,plain,
! [X0: $i] :
( p2(sK54(sK134))
| p2(sK58(sK54(sK134)))
| ~ sP44(X0)
| ~ r1(X0,sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_25545,plain,
( p2(sK54(sK134))
| p2(sK58(sK54(sK134)))
| ~ sP44(sK53(sK134))
| ~ r1(sK53(sK134),sK54(sK134)) ),
inference(instantiation,[status(thm)],[c_25309]) ).
tcf(c_26004,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| sP46(X0)
| ~ sP47(X0)
| ~ p2(sK129(sK48(X0)))
| ~ r1(sK129(sK48(X0)),X1)
| ~ r1(sK48(X0),sK129(sK48(X0))) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_26356,plain,
! [X0: $i] :
( sP46(X0)
| p2(sK130(sK48(X0)))
| ~ sP47(X0)
| ~ p2(sK129(sK48(X0)))
| ~ r1(sK48(X0),sK129(sK48(X0)))
| ~ r1(sK129(sK48(X0)),sK130(sK48(X0))) ),
inference(instantiation,[status(thm)],[c_26004]) ).
tcf(c_26357,plain,
( sP46(sK124)
| p2(sK130(sK48(sK124)))
| ~ sP47(sK124)
| ~ p2(sK129(sK48(sK124)))
| ~ r1(sK48(sK124),sK129(sK48(sK124)))
| ~ r1(sK129(sK48(sK124)),sK130(sK48(sK124))) ),
inference(instantiation,[status(thm)],[c_26356]) ).
tcf(c_26560,plain,
sP47(sK124),
inference(global_subsumption_just,[status(thm)],[c_20448,c_14485,c_14475,c_15621,c_15950,c_16659,c_17534,c_22618,c_25053,c_25545]) ).
tcf(c_26675,plain,
! [X0: $i] :
( p2(sK155(sK128))
| r1(sK51(sK155(sK128)),sK52(sK155(sK128)))
| ~ sP46(X0)
| ~ r1(X0,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_13324]) ).
tcf(c_26676,plain,
( p2(sK155(sK128))
| r1(sK51(sK155(sK128)),sK52(sK155(sK128)))
| ~ sP46(sK124)
| ~ r1(sK124,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_26675]) ).
tcf(c_27089,plain,
! [X0: $i,X1: $i] :
( p2(sK155(sK128))
| p2(sK51(sK155(sK128)))
| ~ sP46(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_27392,plain,
! [X0: $i] :
( p2(sK155(sK128))
| p2(sK51(sK155(sK128)))
| ~ sP46(X0)
| ~ r1(X0,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_27089]) ).
tcf(c_27393,plain,
( p2(sK155(sK128))
| p2(sK51(sK155(sK128)))
| ~ sP46(sK124)
| ~ r1(sK124,sK128)
| ~ r1(sK128,sK155(sK128)) ),
inference(instantiation,[status(thm)],[c_27392]) ).
tcf(c_27394,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27393,c_26676,c_26560,c_26357,c_13352,c_13351,c_13256,c_13251,c_13158,c_13160,c_12851,c_12513,c_12517,c_639,c_638,c_345,c_346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL642+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 23:50:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 10.67/2.74 % SZS status Started for theBenchmark.p
% 10.67/2.74 % SZS status Theorem for theBenchmark.p
% 10.67/2.74
% 10.67/2.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.67/2.74
% 10.67/2.74 % ------ iProver source info
% 10.67/2.74
% 10.67/2.74 % git: date: 2026-07-19 20:42:38 +0200
% 10.67/2.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.67/2.74 % git: non_committed_changes: false
% 10.67/2.74
% 10.67/2.74 % ------ Parsing...
% 10.67/2.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.67/2.74
% 10.67/2.74 % ------ Preprocessing... sf_s rm: 330 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.67/2.74
% 10.67/2.74 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.67/2.74 % ------ Proving...
% 10.67/2.74 % ------ Problem Properties
% 10.67/2.74
% 10.67/2.74 %
% 10.67/2.74 % clauses 66
% 10.67/2.74 % conjectures 28
% 10.67/2.74 % EPR 15
% 10.67/2.74 % Horn 28
% 10.67/2.74 % unary 6
% 10.67/2.74 % binary 8
% 10.67/2.74 % lits 232
% 10.67/2.74 % lits eq 0
% 10.67/2.74 % fd_pure 0
% 10.67/2.74 % fd_pseudo 0
% 10.67/2.74 % fd_cond 0
% 10.67/2.74 % fd_pseudo_cond 0
% 10.67/2.74 % AC symbols 0
% 10.67/2.74
% 10.67/2.74 % ------ Input Options Time Limit: Unbounded
% 10.67/2.74
% 10.67/2.74
% 10.67/2.74 % ------
% 10.67/2.74 % Current options:
% 10.67/2.74 % ------
% 10.67/2.74
% 10.67/2.74
% 10.67/2.74 %
% 10.67/2.74
% 10.67/2.74 % ------ Proving...
% 10.67/2.74 %
% 10.67/2.74
% 10.67/2.74 % SZS status Theorem for theBenchmark.p
% 10.67/2.74
% 10.67/2.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.67/2.75
% 10.67/2.75
%------------------------------------------------------------------------------