%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL660+1.001 : 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 : n011.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 02:07:47 PM UTC 2026
% Result : Theorem 29.56s 4.90s
% Output : CNFRefutation 29.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f13ERROR: Could not build tree for root c_27213ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f16,plain,
! [X0] :
( ~ sP6(X0)
| ( ! [X13] :
( ? [X14] :
( p2(X14)
& ? [X15] :
( ~ p2(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p2(X13)
| ~ r1(X0,X13) )
& ? [X12] :
( ~ p2(X12)
& r1(X0,X12) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0] :
( ~ sP6(X0)
| ( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X0,X2) )
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ sP6(X0)
| ( ! [X2] :
( ( p2(sK8(X2))
& ~ p2(sK9(X2))
& r1(sK8(X2),sK9(X2))
& r1(X2,sK8(X2)) )
| p2(X2)
| ~ r1(X0,X2) )
& ~ p2(sK7(X0))
& r1(X0,sK7(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X1,sK7(X0)),skolemize(X3,sK8(X2)),skolemize(X4,sK9(X2))],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ? [X27] :
( p2(X27)
& ? [X28] :
( ~ p2(X28)
& r1(X27,X28) )
& r1(X0,X27) )
| p2(X0) )
& ( ? [X24] :
( ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
& ~ p2(X24)
& r1(X0,X24) )
| sP4(X0) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0] :
( ~ sP5(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) )
| sP4(X0) ) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ( p2(sK11(X0))
& ~ p2(sK12(X0))
& r1(sK11(X0),sK12(X0))
& r1(X0,sK11(X0)) )
| p2(X0) )
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK10(X0),X2) )
& ~ p2(sK10(X0))
& r1(X0,sK10(X0)) )
| sP4(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X4,sK11(X0)),skolemize(X5,sK12(X0))],[f20]) ).
fof(f22,plain,
! [X0] :
( ~ sP4(X0)
| ! [X20] :
( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X0,X20) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ~ sP4(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,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ! [X2] :
( ( p2(sK13(X2))
& ~ p2(sK14(X2))
& r1(sK13(X2),sK14(X2))
& r1(X2,sK13(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X3,sK13(X2)),skolemize(X4,sK14(X2))],[f23]) ).
fof(f25,plain,
! [X29] :
( ~ sP3(X29)
| ( ! [X34] :
( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X34,X35) )
| p2(X34)
| ~ r1(X29,X34) )
& ? [X30] :
( ? [X31] :
( ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f26,plain,
! [X0] :
( ~ sP3(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,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ sP3(X0)
| ( ! [X5] :
( ( p2(sK17(X5))
& ~ p2(sK18(X5))
& r1(sK17(X5),sK18(X5))
& r1(X5,sK17(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK16(X0),X3) )
& ~ p2(sK16(X0))
& r1(sK15(X0),sK16(X0))
& r1(X0,sK15(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X6,sK17(X5)),skolemize(X7,sK18(X5))],[f26]) ).
fof(f28,plain,
! [X39] :
( ~ sP2(X39)
| ! [X40] :
( ( ( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X40,X48) )
| p2(X40) )
& ( ? [X45] :
( ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p2(X45)
& r1(X40,X45) )
| sP0(X40) ) )
| ~ r1(X39,X40) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0] :
( ~ sP2(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) )
| sP0(X1) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ( ( ( p2(sK20(X1))
& ~ p2(sK21(X1))
& r1(sK20(X1),sK21(X1))
& r1(X1,sK20(X1)) )
| p2(X1) )
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK19(X1),X3) )
& ~ p2(sK19(X1))
& r1(X1,sK19(X1)) )
| sP0(X1) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X1)),skolemize(X5,sK20(X1)),skolemize(X6,sK21(X1))],[f29]) ).
fof(f31,plain,
! [X39] :
( ~ sP1(X39)
| ( ! [X54] :
( ? [X55] :
( p2(X55)
& ? [X56] :
( ~ p2(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p2(X54)
| ~ r1(X39,X54) )
& ? [X50] :
( ? [X51] :
( ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
& ~ p2(X51)
& r1(X50,X51) )
& r1(X39,X50) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f32,plain,
! [X0] :
( ~ sP1(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,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X5] :
( ( p2(sK24(X5))
& ~ p2(sK25(X5))
& r1(sK24(X5),sK25(X5))
& r1(X5,sK24(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK23(X0),X3) )
& ~ p2(sK23(X0))
& r1(sK22(X0),sK23(X0))
& r1(X0,sK22(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25]),skolemize(X1,sK22(X0)),skolemize(X2,sK23(X0)),skolemize(X6,sK24(X5)),skolemize(X7,sK25(X5))],[f32]) ).
fof(f37,plain,
? [X0] :
( ! [X22] :
( ? [X23] :
( ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
& ~ p2(X23)
& r1(X22,X23) )
| p2(X22)
| ~ r1(X0,X22) )
& ( ? [X16] :
( ! [X19] :
( ( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19) )
| sP1(X19)
| sP2(X19)
| ~ r1(X16,X19) )
& ( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| sP3(X16) )
& r1(X0,X16) )
| sP5(X0) )
& ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X0,X13) )
& ? [X12] :
( ~ p1(X12)
& r1(X0,X12) )
& ( sP6(X0)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ! [X7] :
( ? [X8] :
( p4(X8)
& ? [X9] :
( ~ p4(X9)
& r1(X8,X9) )
& r1(X7,X8) )
| p4(X7)
| ~ r1(X0,X7) )
& ? [X6] :
( ~ p4(X6)
& r1(X0,X6) )
& ( ( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] :
( ~ p2(X5)
& r1(X4,X5) )
& r1(X3,X4) )
| p2(X3)
| ~ r1(X0,X3) )
& ? [X2] :
( ~ p2(X2)
& r1(X0,X2) ) )
| ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
inference(rectify,[],[f15]) ).
fof(f38,plain,
( ! [X22] :
( ( ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(sK40(X22),X24) )
& ~ p2(sK40(X22))
& r1(X22,sK40(X22)) )
| p2(X22)
| ~ r1(sK28,X22) )
& ( ( ! [X19] :
( ( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19) )
| sP1(X19)
| sP2(X19)
| ~ r1(sK39,X19) )
& ( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(sK39,X17) )
& ~ p2(sK39) )
| sP3(sK39) )
& r1(sK28,sK39) )
| sP5(sK28) )
& ! [X13] :
( ( p1(sK37(X13))
& ~ p1(sK38(X13))
& r1(sK37(X13),sK38(X13))
& r1(X13,sK37(X13)) )
| p1(X13)
| ~ r1(sK28,X13) )
& ~ p1(sK36)
& r1(sK28,sK36)
& ( sP6(sK28)
| ! [X10] :
( ( p3(sK35(X10))
& r1(X10,sK35(X10)) )
| ~ r1(sK28,X10) ) )
& ! [X7] :
( ( p4(sK33(X7))
& ~ p4(sK34(X7))
& r1(sK33(X7),sK34(X7))
& r1(X7,sK33(X7)) )
| p4(X7)
| ~ r1(sK28,X7) )
& ~ p4(sK32)
& r1(sK28,sK32)
& ( ( ! [X3] :
( ( p2(sK30(X3))
& ~ p2(sK31(X3))
& r1(sK30(X3),sK31(X3))
& r1(X3,sK30(X3)) )
| p2(X3)
| ~ r1(sK28,X3) )
& ~ p2(sK29)
& r1(sK28,sK29) )
| ! [X1] :
( ~ p3(X1)
| ~ r1(sK28,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40]),skolemize(X0,sK28),skolemize(X2,sK29),skolemize(X4,sK30(X3)),skolemize(X5,sK31(X3)),skolemize(X6,sK32),skolemize(X8,sK33(X7)),skolemize(X9,sK34(X7)),skolemize(X11,sK35(X10)),skolemize(X12,sK36),skolemize(X14,sK37(X13)),skolemize(X15,sK38(X13)),skolemize(X16,sK39),skolemize(X23,sK40(X22))],[f37]) ).
fof(f39,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0] :
( ~ sP6(X0)
| p2(sK8(X2))
| p2(X2)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X2,X0] :
( ~ sP6(X0)
| ~ p2(sK9(X2))
| p2(X2)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X2,X0] :
( ~ sP6(X0)
| r1(sK8(X2),sK9(X2))
| p2(X2)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
! [X2,X0] :
( ~ sP6(X0)
| r1(X2,sK8(X2))
| p2(X2)
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
! [X0] :
( ~ sP6(X0)
| ~ p2(sK7(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f45,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
! [X2,X3,X0] :
( ~ sP5(X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK10(X0),X2)
| sP4(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] :
( ~ sP5(X0)
| ~ p2(sK10(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK10(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| p2(sK13(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ p2(sK14(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| r1(sK13(X2),sK14(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| r1(X2,sK13(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(sK17(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0,X5] :
( ~ sP3(X0)
| ~ p2(sK18(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X0,X5] :
( ~ sP3(X0)
| r1(sK17(X5),sK18(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f60,plain,
! [X0,X5] :
( ~ sP3(X0)
| r1(X5,sK17(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
! [X3,X0,X4] :
( ~ sP3(X0)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK16(X0),X3) ),
inference(cnf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0] :
( ~ sP3(X0)
| ~ p2(sK16(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
! [X0] :
( ~ sP3(X0)
| r1(sK15(X0),sK16(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(sK20(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p2(sK21(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(sK20(X1),sK21(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X1,sK20(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f72,plain,
! [X0,X5] :
( ~ sP1(X0)
| p2(sK24(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0,X5] :
( ~ sP1(X0)
| ~ p2(sK25(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X5] :
( ~ sP1(X0)
| r1(sK24(X5),sK25(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X0,X5] :
( ~ sP1(X0)
| r1(X5,sK24(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f84,plain,
! [X24,X22,X25] :
( ~ p2(X24)
| p2(X25)
| ~ r1(X24,X25)
| ~ r1(sK40(X22),X24)
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f85,plain,
! [X22] :
( ~ p2(sK40(X22))
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f86,plain,
! [X22] :
( r1(X22,sK40(X22))
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f87,plain,
! [X21,X19,X20] :
( ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP1(X19)
| sP2(X19)
| ~ r1(sK39,X19)
| sP5(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f88,plain,
! [X19] :
( ~ p2(X19)
| sP1(X19)
| sP2(X19)
| ~ r1(sK39,X19)
| sP5(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f89,plain,
! [X18,X17] :
( ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(sK39,X17)
| sP3(sK39)
| sP5(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f90,plain,
( ~ p2(sK39)
| sP3(sK39)
| sP5(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
( r1(sK28,sK39)
| sP5(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
! [X10] :
( sP6(sK28)
| p3(sK35(X10))
| ~ r1(sK28,X10) ),
inference(cnf_transformation,[],[f38]) ).
fof(f99,plain,
! [X10] :
( sP6(sK28)
| r1(X10,sK35(X10))
| ~ r1(sK28,X10) ),
inference(cnf_transformation,[],[f38]) ).
fof(f103,plain,
! [X7] :
( r1(X7,sK33(X7))
| p4(X7)
| ~ r1(sK28,X7) ),
inference(cnf_transformation,[],[f38]) ).
fof(f106,plain,
! [X3,X1] :
( p2(sK30(X3))
| p2(X3)
| ~ r1(sK28,X3)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f107,plain,
! [X3,X1] :
( ~ p2(sK31(X3))
| p2(X3)
| ~ r1(sK28,X3)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f108,plain,
! [X3,X1] :
( r1(sK30(X3),sK31(X3))
| p2(X3)
| ~ r1(sK28,X3)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f109,plain,
! [X3,X1] :
( r1(X3,sK30(X3))
| p2(X3)
| ~ r1(sK28,X3)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f110,plain,
! [X1] :
( ~ p2(sK29)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f111,plain,
! [X1] :
( r1(sK28,sK29)
| ~ p3(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f39]) ).
tcf(c_50,plain,
! [X0: $i] :
( r1(X0,sK7(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( ~ sP6(X0)
| ~ p2(sK7(X0)) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK8(X1))
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK8(X1),sK9(X1))
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP6(X0)
| ~ p2(sK9(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK8(X1))
| ~ sP6(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_56,plain,
! [X0: $i] :
( sP4(X0)
| r1(X0,sK10(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_57,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP5(X0)
| ~ p2(sK10(X0)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X0)
| p2(X2)
| ~ sP5(X0)
| ~ p2(X1)
| ~ r1(X1,X2)
| ~ r1(sK10(X0),X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(X2,sK13(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(sK13(X2),sK14(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP4(X0)
| ~ p2(sK14(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(sK13(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_67,plain,
! [X0: $i] :
( r1(X0,sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_68,plain,
! [X0: $i] :
( r1(sK15(X0),sK16(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] :
( ~ sP3(X0)
| ~ p2(sK16(X0)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP3(X0)
| ~ p2(X1)
| ~ r1(X1,X2)
| ~ r1(sK16(X0),X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK17(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK17(X1),sK18(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP3(X0)
| ~ p2(sK18(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK17(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK20(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK20(X1),sK21(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP2(X0)
| ~ p2(sK21(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK20(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK24(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK24(X1),sK25(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP1(X0)
| ~ p2(sK25(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK24(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( r1(sK28,sK29)
| ~ p3(X0)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( ~ p2(sK29)
| ~ p3(X0)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0)
| r1(X0,sK30(X0))
| ~ p3(X1)
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0)
| r1(sK30(X0),sK31(X0))
| ~ p3(X1)
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0)
| ~ p3(X1)
| ~ p2(sK31(X0))
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0)
| p2(sK30(X0))
| ~ p3(X1)
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_102,negated_conjecture,
! [X0: $i] :
( p4(X0)
| r1(X0,sK33(X0))
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( sP6(sK28)
| r1(X0,sK35(X0))
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( sP6(sK28)
| p3(sK35(X0))
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_114,negated_conjecture,
( sP5(sK28)
| r1(sK28,sK39) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_115,negated_conjecture,
( sP3(sK39)
| sP5(sK28)
| ~ p2(sK39) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i] :
( sP3(sK39)
| sP5(sK28)
| p2(X1)
| ~ p2(X0)
| ~ r1(sK39,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_117,negated_conjecture,
! [X0: $i] :
( sP5(sK28)
| sP1(X0)
| sP2(X0)
| ~ p2(X0)
| ~ r1(sK39,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP5(sK28)
| sP1(X0)
| sP2(X0)
| p2(X2)
| ~ p2(X1)
| ~ r1(sK39,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_119,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(X0,sK40(X0))
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ p2(sK40(X0))
| ~ r1(sK28,X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(X0)
| ~ p2(X1)
| ~ r1(sK28,X0)
| ~ r1(X1,X2)
| ~ r1(sK40(X0),X1) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_122,plain,
r1(sK28,sK28),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_125,plain,
( ~ sP6(sK28)
| ~ p2(sK7(sK28)) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_128,plain,
( r1(sK28,sK7(sK28))
| ~ sP6(sK28) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_133,plain,
( sP6(sK28)
| p3(sK35(sK28))
| ~ r1(sK28,sK28) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_137,plain,
( sP4(sK28)
| ~ sP5(sK28)
| ~ p2(sK10(sK28)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_138,plain,
( sP4(sK28)
| r1(sK28,sK10(sK28))
| ~ sP5(sK28) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_143,plain,
( sP6(sK28)
| r1(sK28,sK35(sK28))
| ~ r1(sK28,sK28) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_194,plain,
! [X0: $i] :
( p2(sK7(X0))
| r1(sK7(X0),sK40(sK7(X0)))
| ~ r1(sK28,sK7(X0)) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_195,plain,
( p2(sK7(sK28))
| r1(sK7(sK28),sK40(sK7(sK28)))
| ~ r1(sK28,sK7(sK28)) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_196,plain,
( p2(sK29)
| r1(sK29,sK40(sK29))
| ~ r1(sK28,sK29) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_379,plain,
( sP6(sK28)
| ~ p2(sK29)
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK28) ),
inference(superposition,[status(thm)],[c_106,c_95]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK40(X1))
| ~ sP4(X2)
| ~ r1(X2,X0)
| ~ p2(sK14(sK40(X1)))
| ~ r1(X0,sK40(X1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK40(X1))
| p2(sK13(sK40(X1)))
| ~ sP4(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK40(X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK40(X1))
| r1(sK40(X1),sK13(sK40(X1)))
| ~ sP4(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK40(X1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK40(X1))
| r1(sK13(sK40(X1)),sK14(sK40(X1)))
| ~ sP4(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK40(X1)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_528,plain,
( p2(sK7(sK28))
| ~ sP6(sK28)
| ~ p2(sK40(sK7(sK28))) ),
inference(superposition,[status(thm)],[c_50,c_120]) ).
tcf(c_655,plain,
( sP6(sK28)
| p3(sK35(sK28)) ),
inference(resolution,[status(thm)],[c_49,c_107]) ).
tcf(c_734,plain,
( p2(sK7(sK28))
| ~ sP6(sK28)
| ~ p2(sK40(sK7(sK28))) ),
inference(superposition,[status(thm)],[c_50,c_120]) ).
tcf(c_972,plain,
( sP6(sK28)
| r1(sK28,sK29)
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK28) ),
inference(resolution,[status(thm)],[c_94,c_106]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i] :
( p2(sK40(sK7(X0)))
| ~ sP4(X1)
| ~ r1(X1,sK7(X0))
| ~ p2(sK14(sK40(sK7(X0))))
| ~ r1(sK7(X0),sK40(sK7(X0))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_980,plain,
( p2(sK40(sK7(sK28)))
| ~ sP4(sK28)
| ~ r1(sK28,sK7(sK28))
| ~ p2(sK14(sK40(sK7(sK28))))
| ~ r1(sK7(sK28),sK40(sK7(sK28))) ),
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i] :
( p2(sK40(sK7(X0)))
| p2(sK13(sK40(sK7(X0))))
| ~ sP4(X1)
| ~ r1(X1,sK7(X0))
| ~ r1(sK7(X0),sK40(sK7(X0))) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1013,plain,
( p2(sK40(sK7(sK28)))
| p2(sK13(sK40(sK7(sK28))))
| ~ sP4(sK28)
| ~ r1(sK28,sK7(sK28))
| ~ r1(sK7(sK28),sK40(sK7(sK28))) ),
inference(instantiation,[status(thm)],[c_1012]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i] :
( p2(sK40(sK7(X0)))
| r1(sK40(sK7(X0)),sK13(sK40(sK7(X0))))
| ~ sP4(X1)
| ~ r1(X1,sK7(X0))
| ~ r1(sK7(X0),sK40(sK7(X0))) ),
inference(instantiation,[status(thm)],[c_432]) ).
tcf(c_1019,plain,
( p2(sK40(sK7(sK28)))
| r1(sK40(sK7(sK28)),sK13(sK40(sK7(sK28))))
| ~ sP4(sK28)
| ~ r1(sK28,sK7(sK28))
| ~ r1(sK7(sK28),sK40(sK7(sK28))) ),
inference(instantiation,[status(thm)],[c_1018]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i] :
( p2(sK40(sK7(X0)))
| r1(sK13(sK40(sK7(X0))),sK14(sK40(sK7(X0))))
| ~ sP4(X1)
| ~ r1(X1,sK7(X0))
| ~ r1(sK7(X0),sK40(sK7(X0))) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_1025,plain,
( p2(sK40(sK7(sK28)))
| r1(sK13(sK40(sK7(sK28))),sK14(sK40(sK7(sK28))))
| ~ sP4(sK28)
| ~ r1(sK28,sK7(sK28))
| ~ r1(sK7(sK28),sK40(sK7(sK28))) ),
inference(instantiation,[status(thm)],[c_1024]) ).
tcf(c_1084,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| p2(sK30(X0))
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_99,c_106]) ).
tcf(c_1226,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(X0,sK30(X0))
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_96,c_106]) ).
tcf(c_1300,plain,
! [X0: $i] :
( sP4(X0)
| p2(sK10(X0))
| p2(sK8(sK10(X0)))
| ~ sP5(X0)
| ~ sP6(X0) ),
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_1315,plain,
( sP5(sK28)
| p2(sK39)
| p2(sK8(sK39))
| ~ sP6(sK28) ),
inference(superposition,[status(thm)],[c_114,c_55]) ).
tcf(c_1323,plain,
( sP4(sK28)
| p2(sK10(sK28))
| p2(sK8(sK10(sK28)))
| ~ sP5(sK28)
| ~ sP6(sK28) ),
inference(instantiation,[status(thm)],[c_1300]) ).
tcf(c_1367,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(sK30(X0),sK31(X0))
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_97,c_106]) ).
tcf(c_1385,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK7(X0))
| ~ r1(sK28,sK7(X0))
| ~ p2(sK13(sK40(sK7(X0))))
| ~ r1(sK13(sK40(sK7(X0))),X1)
| ~ r1(sK40(sK7(X0)),sK13(sK40(sK7(X0)))) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_1435,plain,
( sP6(sK28)
| r1(sK28,sK29)
| ~ r1(sK28,sK28) ),
inference(backward_subsumption_resolution,[status(thm)],[c_972,c_655]) ).
tcf(c_1436,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(sK30(X0),sK31(X0))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1367,c_655]) ).
tcf(c_1437,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| p2(sK30(X0))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1084,c_655]) ).
tcf(c_1438,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(X0,sK30(X0))
| ~ r1(sK28,sK28)
| ~ r1(sK28,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1226,c_655]) ).
tcf(c_2007,plain,
( sP6(sK28)
| r1(sK28,sK29) ),
inference(global_subsumption_just,[status(thm)],[c_1435,c_122,c_1435]) ).
tcf(c_2019,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| p2(sK30(X0))
| ~ p3(sK29)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_2007,c_99]) ).
tcf(c_2020,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(X0,sK30(X0))
| ~ p3(sK29)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_2007,c_96]) ).
tcf(c_2021,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(sK30(X0),sK31(X0))
| ~ p3(sK29)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_2007,c_97]) ).
tcf(c_2040,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| p2(sK17(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(superposition,[status(thm)],[c_119,c_74]) ).
tcf(c_2094,plain,
! [X0: $i,X1: $i] :
( p2(sK7(X0))
| p2(sK14(sK40(sK7(X1))))
| ~ r1(sK28,sK7(X0))
| ~ p2(sK13(sK40(sK7(X0))))
| ~ r1(sK40(sK7(X0)),sK13(sK40(sK7(X0))))
| ~ r1(sK13(sK40(sK7(X0))),sK14(sK40(sK7(X1)))) ),
inference(instantiation,[status(thm)],[c_1385]) ).
tcf(c_2095,plain,
( p2(sK7(sK28))
| p2(sK14(sK40(sK7(sK28))))
| ~ r1(sK28,sK7(sK28))
| ~ p2(sK13(sK40(sK7(sK28))))
| ~ r1(sK40(sK7(sK28)),sK13(sK40(sK7(sK28))))
| ~ r1(sK13(sK40(sK7(sK28))),sK14(sK40(sK7(sK28)))) ),
inference(instantiation,[status(thm)],[c_2094]) ).
tcf(c_2100,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| p2(sK30(X0))
| ~ r1(sK28,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2019,c_122,c_1437]) ).
tcf(c_2125,plain,
( sP5(sK28)
| p2(sK39)
| sP6(sK28)
| p2(sK30(sK39)) ),
inference(resolution,[status(thm)],[c_2100,c_114]) ).
tcf(c_2236,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK30(X1),sK31(X1))
| ~ p3(sK35(X0))
| ~ r1(sK28,X1)
| ~ r1(sK28,sK35(X0)) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2237,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK30(X1))
| ~ p3(sK35(X0))
| ~ r1(sK28,X1)
| ~ r1(sK28,sK35(X0)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2239,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ p3(sK35(X0))
| ~ p2(sK31(X1))
| ~ r1(sK28,X1)
| ~ r1(sK28,sK35(X0)) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_2434,plain,
! [X0: $i] :
( p2(sK40(sK29))
| r1(sK13(sK40(sK29)),sK14(sK40(sK29)))
| ~ sP4(X0)
| ~ r1(X0,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_2435,plain,
! [X0: $i] :
( p2(sK40(sK29))
| r1(sK40(sK29),sK13(sK40(sK29)))
| ~ sP4(X0)
| ~ r1(X0,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_432]) ).
tcf(c_2436,plain,
! [X0: $i] :
( p2(sK40(sK29))
| p2(sK13(sK40(sK29)))
| ~ sP4(X0)
| ~ r1(X0,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_2437,plain,
! [X0: $i] :
( p2(sK40(sK29))
| ~ sP4(X0)
| ~ r1(X0,sK29)
| ~ p2(sK14(sK40(sK29)))
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_2439,plain,
( p2(sK40(sK29))
| ~ sP4(sK28)
| ~ r1(sK28,sK29)
| ~ p2(sK14(sK40(sK29)))
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_2437]) ).
tcf(c_2440,plain,
( p2(sK40(sK29))
| p2(sK13(sK40(sK29)))
| ~ sP4(sK28)
| ~ r1(sK28,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_2436]) ).
tcf(c_2441,plain,
( p2(sK40(sK29))
| r1(sK40(sK29),sK13(sK40(sK29)))
| ~ sP4(sK28)
| ~ r1(sK28,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_2435]) ).
tcf(c_2442,plain,
( p2(sK40(sK29))
| r1(sK13(sK40(sK29)),sK14(sK40(sK29)))
| ~ sP4(sK28)
| ~ r1(sK28,sK29)
| ~ r1(sK29,sK40(sK29)) ),
inference(instantiation,[status(thm)],[c_2434]) ).
tcf(c_2630,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(X0,sK30(X0))
| ~ r1(sK28,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2020,c_122,c_1438]) ).
tcf(c_2655,plain,
! [X0: $i] :
( sP3(sK39)
| sP5(sK28)
| p2(sK39)
| sP6(sK28)
| p2(X0)
| ~ p2(sK30(sK39))
| ~ r1(sK28,sK39)
| ~ r1(sK30(sK39),X0) ),
inference(resolution,[status(thm)],[c_2630,c_116]) ).
tcf(c_2882,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| r1(sK30(X0),sK31(X0))
| ~ r1(sK28,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2021,c_122,c_1436]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i] :
( p2(sK10(X0))
| ~ p3(sK35(X1))
| ~ p2(sK31(sK10(X0)))
| ~ r1(sK28,sK35(X1))
| ~ r1(sK28,sK10(X0)) ),
inference(instantiation,[status(thm)],[c_2239]) ).
tcf(c_3061,plain,
( p2(sK10(sK28))
| ~ p3(sK35(sK28))
| ~ p2(sK31(sK10(sK28)))
| ~ r1(sK28,sK35(sK28))
| ~ r1(sK28,sK10(sK28)) ),
inference(instantiation,[status(thm)],[c_3060]) ).
tcf(c_3064,plain,
! [X0: $i] :
( p2(sK39)
| ~ p2(sK31(sK39))
| ~ r1(sK28,sK39)
| ~ p3(sK35(X0))
| ~ r1(sK28,sK35(X0)) ),
inference(instantiation,[status(thm)],[c_2239]) ).
tcf(c_3065,plain,
( p2(sK39)
| ~ p3(sK35(sK28))
| ~ p2(sK31(sK39))
| ~ r1(sK28,sK39)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_3064]) ).
tcf(c_3118,plain,
! [X0: $i,X1: $i] :
( p2(sK10(X0))
| r1(sK10(X0),sK30(sK10(X0)))
| ~ p3(sK35(X1))
| ~ r1(sK28,sK35(X1))
| ~ r1(sK28,sK10(X0)) ),
inference(instantiation,[status(thm)],[c_2237]) ).
tcf(c_3119,plain,
( p2(sK10(sK28))
| r1(sK10(sK28),sK30(sK10(sK28)))
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK35(sK28))
| ~ r1(sK28,sK10(sK28)) ),
inference(instantiation,[status(thm)],[c_3118]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i] :
( p2(sK10(X0))
| r1(sK30(sK10(X0)),sK31(sK10(X0)))
| ~ p3(sK35(X1))
| ~ r1(sK28,sK35(X1))
| ~ r1(sK28,sK10(X0)) ),
inference(instantiation,[status(thm)],[c_2236]) ).
tcf(c_3245,plain,
( p2(sK10(sK28))
| r1(sK30(sK10(sK28)),sK31(sK10(sK28)))
| ~ p3(sK35(sK28))
| ~ r1(sK28,sK35(sK28))
| ~ r1(sK28,sK10(sK28)) ),
inference(instantiation,[status(thm)],[c_3244]) ).
tcf(c_3710,plain,
( p2(sK29)
| ~ p2(sK40(sK29))
| ~ r1(sK28,sK29) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_3804,plain,
! [X0: $i] :
( sP4(X0)
| p2(sK10(X0))
| r1(sK10(X0),sK8(sK10(X0)))
| ~ sP5(X0)
| ~ sP6(X0) ),
inference(superposition,[status(thm)],[c_56,c_52]) ).
tcf(c_3822,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK39,sK8(sK39))
| ~ sP6(sK28) ),
inference(superposition,[status(thm)],[c_114,c_52]) ).
tcf(c_3830,plain,
( sP4(sK28)
| p2(sK10(sK28))
| r1(sK10(sK28),sK8(sK10(sK28)))
| ~ sP5(sK28)
| ~ sP6(sK28) ),
inference(instantiation,[status(thm)],[c_3804]) ).
tcf(c_4027,plain,
! [X0: $i] :
( sP4(X0)
| p2(sK10(X0))
| ~ sP5(X0)
| ~ sP6(X0)
| ~ p2(sK9(sK10(X0))) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_4045,plain,
( sP5(sK28)
| p2(sK39)
| ~ sP6(sK28)
| ~ p2(sK9(sK39)) ),
inference(superposition,[status(thm)],[c_114,c_54]) ).
tcf(c_4053,plain,
( sP4(sK28)
| p2(sK10(sK28))
| ~ sP5(sK28)
| ~ sP6(sK28)
| ~ p2(sK9(sK10(sK28))) ),
inference(instantiation,[status(thm)],[c_4027]) ).
tcf(c_4060,plain,
! [X0: $i] :
( p2(sK29)
| p2(X0)
| ~ r1(sK28,sK29)
| ~ p2(sK13(sK40(sK29)))
| ~ r1(sK13(sK40(sK29)),X0)
| ~ r1(sK40(sK29),sK13(sK40(sK29))) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_4324,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| r1(sK40(X0),sK17(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(superposition,[status(thm)],[c_119,c_71]) ).
tcf(c_4357,plain,
( p2(sK29)
| p2(sK14(sK40(sK29)))
| ~ r1(sK28,sK29)
| ~ p2(sK13(sK40(sK29)))
| ~ r1(sK40(sK29),sK13(sK40(sK29)))
| ~ r1(sK13(sK40(sK29)),sK14(sK40(sK29))) ),
inference(instantiation,[status(thm)],[c_4060]) ).
tcf(c_4535,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| ~ sP3(X0)
| ~ r1(sK28,X0)
| ~ p2(sK18(sK40(X0))) ),
inference(superposition,[status(thm)],[c_119,c_73]) ).
tcf(c_4676,plain,
! [X0: $i,X1: $i] :
( sP4(X0)
| p2(X1)
| ~ sP5(X0)
| ~ p2(sK30(sK10(X0)))
| ~ r1(sK30(sK10(X0)),X1)
| ~ r1(sK10(X0),sK30(sK10(X0))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_4854,plain,
! [X0: $i] :
( sP4(X0)
| p2(sK31(sK10(X0)))
| ~ sP5(X0)
| ~ p2(sK30(sK10(X0)))
| ~ r1(sK10(X0),sK30(sK10(X0)))
| ~ r1(sK30(sK10(X0)),sK31(sK10(X0))) ),
inference(instantiation,[status(thm)],[c_4676]) ).
tcf(c_4855,plain,
( sP4(sK28)
| p2(sK31(sK10(sK28)))
| ~ sP5(sK28)
| ~ p2(sK30(sK10(sK28)))
| ~ r1(sK10(sK28),sK30(sK10(sK28)))
| ~ r1(sK30(sK10(sK28)),sK31(sK10(sK28))) ),
inference(instantiation,[status(thm)],[c_4854]) ).
tcf(c_5557,plain,
! [X0: $i] :
( sP3(sK39)
| sP5(sK28)
| ~ r1(sK30(sK39),X0)
| p2(X0)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_2655,c_114,c_115,c_2125,c_2655]) ).
tcf(c_5558,plain,
! [X0: $i] :
( sP3(sK39)
| sP5(sK28)
| sP6(sK28)
| p2(X0)
| ~ r1(sK30(sK39),X0) ),
inference(renaming,[status(thm)],[c_5557]) ).
tcf(c_5583,plain,
( sP3(sK39)
| sP5(sK28)
| p2(sK39)
| sP6(sK28)
| p2(sK31(sK39))
| ~ r1(sK28,sK39) ),
inference(resolution,[status(thm)],[c_5558,c_2882]) ).
tcf(c_5585,plain,
( sP3(sK39)
| sP5(sK28)
| sP6(sK28)
| p2(sK35(sK30(sK39)))
| ~ r1(sK28,sK30(sK39)) ),
inference(resolution,[status(thm)],[c_5558,c_106]) ).
tcf(c_5606,plain,
( sP3(sK39)
| sP5(sK28)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_5585,c_122,c_114,c_115,c_133,c_143,c_3065,c_5583]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i] :
( sP5(sK28)
| p2(X1)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| ~ sP3(sK39)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK15(sK39),X0) ),
inference(resolution,[status(thm)],[c_67,c_118]) ).
tcf(c_5735,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP3(sK39)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK16(sK39),X0) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_5738,plain,
! [X0: $i] :
( p2(X0)
| p2(sK17(X0))
| ~ sP3(sK39)
| ~ r1(sK39,X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_5739,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK39)
| ~ p2(sK18(X0))
| ~ r1(sK39,X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_5740,plain,
( r1(sK15(sK39),sK16(sK39))
| ~ sP3(sK39) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_5741,plain,
( r1(sK39,sK15(sK39))
| ~ sP3(sK39) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_5742,plain,
( ~ sP3(sK39)
| ~ p2(sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_6630,plain,
! [X0: $i] :
( sP4(X0)
| p2(sK10(X0))
| r1(sK8(sK10(X0)),sK9(sK10(X0)))
| ~ sP5(X0)
| ~ sP6(X0) ),
inference(superposition,[status(thm)],[c_56,c_53]) ).
tcf(c_6648,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK8(sK39),sK9(sK39))
| ~ sP6(sK28) ),
inference(superposition,[status(thm)],[c_114,c_53]) ).
tcf(c_6656,plain,
( sP4(sK28)
| p2(sK10(sK28))
| r1(sK8(sK10(sK28)),sK9(sK10(sK28)))
| ~ sP5(sK28)
| ~ sP6(sK28) ),
inference(instantiation,[status(thm)],[c_6630]) ).
tcf(c_6690,plain,
( sP5(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| ~ p2(sK15(sK39))
| ~ r1(sK39,sK15(sK39)) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6722,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| r1(sK17(sK40(X0)),sK18(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(superposition,[status(thm)],[c_119,c_72]) ).
tcf(c_6750,plain,
( p2(sK15(sK39))
| p2(sK17(sK15(sK39)))
| ~ sP3(sK39)
| ~ r1(sK39,sK15(sK39)) ),
inference(instantiation,[status(thm)],[c_5738]) ).
tcf(c_6762,plain,
( p2(sK15(sK39))
| ~ sP3(sK39)
| ~ p2(sK18(sK15(sK39)))
| ~ r1(sK39,sK15(sK39)) ),
inference(instantiation,[status(thm)],[c_5739]) ).
tcf(c_6785,plain,
! [X0: $i] :
( p2(sK15(X0))
| r1(sK15(X0),sK17(sK15(X0)))
| ~ sP3(X0) ),
inference(resolution,[status(thm)],[c_71,c_67]) ).
tcf(c_6802,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| r1(sK40(X0),sK17(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_71,c_119]) ).
tcf(c_6982,plain,
! [X0: $i] :
( p2(X0)
| r1(sK20(X0),sK21(X0))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_6983,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK20(X0))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_6985,plain,
! [X0: $i] :
( p2(X0)
| p2(sK20(X0))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_6986,plain,
! [X0: $i] :
( p2(X0)
| ~ sP2(sK15(sK39))
| ~ p2(sK21(X0))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_7088,plain,
! [X0: $i] :
( p2(sK15(X0))
| r1(sK17(sK15(X0)),sK18(sK15(X0)))
| ~ sP3(X0) ),
inference(resolution,[status(thm)],[c_72,c_67]) ).
tcf(c_7105,plain,
! [X0: $i] :
( p2(X0)
| p2(sK40(X0))
| r1(sK17(sK40(X0)),sK18(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_72,c_119]) ).
tcf(c_8190,plain,
! [X0: $i] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ sP3(X0)
| r1(sK40(X0),sK17(sK40(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_6802,c_120,c_4324]) ).
tcf(c_8191,plain,
! [X0: $i] :
( p2(X0)
| r1(sK40(X0),sK17(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(renaming,[status(thm)],[c_8190]) ).
tcf(c_8304,plain,
( p2(sK16(sK39))
| p2(sK20(sK16(sK39)))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_6985]) ).
tcf(c_8346,plain,
( p2(sK16(sK39))
| ~ sP2(sK15(sK39))
| ~ p2(sK21(sK16(sK39)))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_6986]) ).
tcf(c_8410,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(X0)
| ~ sP3(X0)
| ~ r1(sK28,X0)
| ~ p2(sK17(sK40(X0)))
| ~ r1(sK17(sK40(X0)),X1) ),
inference(resolution,[status(thm)],[c_8191,c_121]) ).
tcf(c_8418,plain,
( p2(sK16(sK39))
| r1(sK20(sK16(sK39)),sK21(sK16(sK39)))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_6982]) ).
tcf(c_8426,plain,
( p2(sK16(sK39))
| r1(sK16(sK39),sK20(sK16(sK39)))
| ~ sP2(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_6983]) ).
tcf(c_8929,plain,
! [X0: $i] :
( p2(X0)
| r1(sK24(X0),sK25(X0))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_8930,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK24(X0))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_8931,plain,
! [X0: $i] :
( p2(X0)
| p2(sK24(X0))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_8932,plain,
! [X0: $i] :
( p2(X0)
| ~ sP1(sK15(sK39))
| ~ p2(sK25(X0))
| ~ r1(sK15(sK39),X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8940,plain,
! [X0: $i] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ sP3(X0)
| r1(sK17(sK40(X0)),sK18(sK40(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_7105,c_120,c_6722]) ).
tcf(c_8941,plain,
! [X0: $i] :
( p2(X0)
| r1(sK17(sK40(X0)),sK18(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(renaming,[status(thm)],[c_8940]) ).
tcf(c_9108,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(X0)
| ~ sP3(X0)
| ~ r1(sK28,X0)
| ~ r1(sK17(sK40(X0)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_8410,c_120,c_2040,c_8410]) ).
tcf(c_9139,plain,
! [X0: $i] :
( sP6(sK28)
| p2(X0)
| p2(sK35(sK17(sK40(X0))))
| ~ sP3(X0)
| ~ r1(sK28,X0)
| ~ r1(sK28,sK17(sK40(X0))) ),
inference(resolution,[status(thm)],[c_9108,c_106]) ).
tcf(c_9148,plain,
! [X0: $i] :
( p2(X0)
| p2(sK18(sK40(X0)))
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[status(thm)],[c_9108,c_8941]) ).
tcf(c_9534,plain,
! [X0: $i] :
( ~ sP3(X0)
| ~ r1(sK28,X0)
| p2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9139,c_120,c_4535,c_9148]) ).
tcf(c_9535,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(X0)
| ~ r1(sK28,X0) ),
inference(renaming,[status(thm)],[c_9534]) ).
tcf(c_9559,plain,
( sP5(sK28)
| p2(sK39)
| ~ sP3(sK39) ),
inference(resolution,[status(thm)],[c_9535,c_114]) ).
tcf(c_9577,plain,
( sP5(sK28)
| p2(sK39)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_9559,c_5606]) ).
tcf(c_10129,plain,
! [X0: $i] :
( sP5(sK28)
| p2(X0)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| p2(sK15(sK39))
| ~ sP3(sK39)
| ~ p2(sK17(sK15(sK39)))
| ~ r1(sK17(sK15(sK39)),X0) ),
inference(resolution,[status(thm)],[c_5671,c_6785]) ).
tcf(c_11592,plain,
( sP4(sK28)
| sP6(sK28)
| p3(sK35(sK10(sK28)))
| ~ sP5(sK28) ),
inference(resolution,[status(thm)],[c_56,c_107]) ).
tcf(c_11594,plain,
( sP4(sK28)
| sP6(sK28)
| p2(sK10(sK28))
| p2(sK30(sK10(sK28)))
| ~ sP5(sK28) ),
inference(resolution,[status(thm)],[c_56,c_2100]) ).
tcf(c_12177,plain,
( sP4(sK28)
| sP6(sK28)
| ~ sP5(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_11592,c_122,c_133,c_137,c_138,c_143,c_196,c_379,c_1435,c_2439,c_2440,c_2441,c_2442,c_3061,c_3119,c_3245,c_3710,c_4357,c_4855,c_11594]) ).
tcf(c_12179,plain,
( ~ sP5(sK28)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_12177,c_122,c_133,c_196,c_379,c_1435,c_2439,c_2440,c_2441,c_2442,c_3710,c_4357,c_12177]) ).
tcf(c_12180,plain,
( sP6(sK28)
| ~ sP5(sK28) ),
inference(renaming,[status(thm)],[c_12179]) ).
tcf(c_12209,plain,
( sP3(sK39)
| sP6(sK28) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5606,c_12180]) ).
tcf(c_12219,plain,
( p2(sK39)
| sP6(sK28) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9577,c_12180]) ).
tcf(c_13699,plain,
! [X0: $i] :
( sP5(sK28)
| p2(X0)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| ~ r1(sK17(sK15(sK39)),X0)
| ~ sP3(sK39) ),
inference(global_subsumption_just,[status(thm)],[c_10129,c_5741,c_6690,c_6750,c_10129]) ).
tcf(c_13700,plain,
! [X0: $i] :
( sP5(sK28)
| p2(X0)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| ~ sP3(sK39)
| ~ r1(sK17(sK15(sK39)),X0) ),
inference(renaming,[status(thm)],[c_13699]) ).
tcf(c_13732,plain,
( sP5(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| p4(sK17(sK15(sK39)))
| p2(sK33(sK17(sK15(sK39))))
| ~ sP3(sK39)
| ~ r1(sK28,sK17(sK15(sK39))) ),
inference(resolution,[status(thm)],[c_13700,c_102]) ).
tcf(c_13733,plain,
( sP5(sK28)
| sP6(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| p2(sK35(sK17(sK15(sK39))))
| ~ sP3(sK39)
| ~ r1(sK28,sK17(sK15(sK39))) ),
inference(resolution,[status(thm)],[c_13700,c_106]) ).
tcf(c_13739,plain,
( sP5(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| p2(sK15(sK39))
| p2(sK18(sK15(sK39)))
| ~ sP3(sK39) ),
inference(resolution,[status(thm)],[c_13700,c_7088]) ).
tcf(c_13789,plain,
( sP2(sK15(sK39))
| sP1(sK15(sK39))
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_13733,c_5741,c_6690,c_6762,c_12180,c_12209,c_13739]) ).
tcf(c_13790,plain,
( sP6(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39)) ),
inference(renaming,[status(thm)],[c_13789]) ).
tcf(c_13803,plain,
( sP5(sK28)
| sP1(sK15(sK39))
| sP2(sK15(sK39))
| ~ sP3(sK39) ),
inference(global_subsumption_just,[status(thm)],[c_13732,c_5741,c_6690,c_6762,c_13739]) ).
tcf(c_18851,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK39,sK8(sK39))
| ~ sP6(sK28) ),
inference(superposition,[status(thm)],[c_114,c_52]) ).
tcf(c_18872,plain,
( sP5(sK28)
| p2(sK39)
| ~ sP6(sK28)
| ~ p2(sK9(sK39)) ),
inference(superposition,[status(thm)],[c_114,c_54]) ).
tcf(c_19104,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK8(sK39),sK9(sK39))
| ~ sP6(sK28) ),
inference(superposition,[status(thm)],[c_114,c_53]) ).
tcf(c_19126,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK17(sK39),sK18(sK39))
| ~ sP3(sK28) ),
inference(superposition,[status(thm)],[c_114,c_72]) ).
tcf(c_19795,plain,
( sP5(sK28)
| p2(sK39)
| p2(sK8(sK39)) ),
inference(global_subsumption_just,[status(thm)],[c_1315,c_1315,c_12219]) ).
tcf(c_19930,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK39)
| ~ p2(sK20(sK16(sK39)))
| ~ r1(sK20(sK16(sK39)),X0)
| ~ r1(sK16(sK39),sK20(sK16(sK39))) ),
inference(instantiation,[status(thm)],[c_5735]) ).
tcf(c_20472,plain,
( p2(sK21(sK16(sK39)))
| ~ sP3(sK39)
| ~ p2(sK20(sK16(sK39)))
| ~ r1(sK16(sK39),sK20(sK16(sK39)))
| ~ r1(sK20(sK16(sK39)),sK21(sK16(sK39))) ),
inference(instantiation,[status(thm)],[c_19930]) ).
tcf(c_21906,plain,
( p2(sK16(sK39))
| p2(sK24(sK16(sK39)))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_8931]) ).
tcf(c_21925,plain,
( p2(sK16(sK39))
| ~ sP1(sK15(sK39))
| ~ p2(sK25(sK16(sK39)))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_8932]) ).
tcf(c_22113,plain,
( p2(sK16(sK39))
| r1(sK24(sK16(sK39)),sK25(sK16(sK39)))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_8929]) ).
tcf(c_22126,plain,
( p2(sK16(sK39))
| r1(sK16(sK39),sK24(sK16(sK39)))
| ~ sP1(sK15(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) ),
inference(instantiation,[status(thm)],[c_8930]) ).
tcf(c_22842,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK39)
| ~ p2(sK24(sK16(sK39)))
| ~ r1(sK24(sK16(sK39)),X0)
| ~ r1(sK16(sK39),sK24(sK16(sK39))) ),
inference(instantiation,[status(thm)],[c_5735]) ).
tcf(c_23371,plain,
! [X0: $i] :
( p2(sK25(X0))
| ~ sP3(sK39)
| ~ p2(sK24(sK16(sK39)))
| ~ r1(sK16(sK39),sK24(sK16(sK39)))
| ~ r1(sK24(sK16(sK39)),sK25(X0)) ),
inference(instantiation,[status(thm)],[c_22842]) ).
tcf(c_23648,plain,
( ~ p2(sK40(sK7(sK28)))
| ~ sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_734,c_125,c_528]) ).
tcf(c_23649,plain,
( ~ sP6(sK28)
| ~ p2(sK40(sK7(sK28))) ),
inference(renaming,[status(thm)],[c_23648]) ).
tcf(c_23650,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK39,sK8(sK39)) ),
inference(global_subsumption_just,[status(thm)],[c_18851,c_3822,c_12219]) ).
tcf(c_23752,plain,
( sP5(sK28)
| p2(sK39)
| ~ p2(sK9(sK39)) ),
inference(global_subsumption_just,[status(thm)],[c_18872,c_4045,c_12219]) ).
tcf(c_24214,plain,
( p2(sK25(sK16(sK39)))
| ~ sP3(sK39)
| ~ p2(sK24(sK16(sK39)))
| ~ r1(sK16(sK39),sK24(sK16(sK39)))
| ~ r1(sK24(sK16(sK39)),sK25(sK16(sK39))) ),
inference(instantiation,[status(thm)],[c_23371]) ).
tcf(c_25461,plain,
( sP5(sK28)
| p2(sK39)
| r1(sK8(sK39),sK9(sK39)) ),
inference(global_subsumption_just,[status(thm)],[c_19104,c_6648,c_12219]) ).
tcf(c_25490,plain,
( sP3(sK39)
| sP5(sK28)
| p2(sK39)
| p2(sK9(sK39))
| ~ p2(sK8(sK39))
| ~ r1(sK39,sK8(sK39)) ),
inference(superposition,[status(thm)],[c_25461,c_116]) ).
tcf(c_26209,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP4(X2)
| p2(sK9(sK10(X1)))
| ~ sP5(X2)
| ~ p2(X0)
| ~ r1(sK10(X2),X0)
| ~ r1(X0,sK9(sK10(X1))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_26721,plain,
( sP5(sK28)
| p2(sK39) ),
inference(global_subsumption_just,[status(thm)],[c_19126,c_9559,c_19795,c_23650,c_23752,c_25490]) ).
tcf(c_27051,plain,
! [X0: $i,X1: $i] :
( sP4(X1)
| p2(sK9(sK10(X0)))
| ~ sP5(X1)
| ~ p2(sK8(sK10(X0)))
| ~ r1(sK10(X1),sK8(sK10(X0)))
| ~ r1(sK8(sK10(X0)),sK9(sK10(X0))) ),
inference(instantiation,[status(thm)],[c_26209]) ).
tcf(c_27052,plain,
( sP4(sK28)
| p2(sK9(sK10(sK28)))
| ~ sP5(sK28)
| ~ p2(sK8(sK10(sK28)))
| ~ r1(sK10(sK28),sK8(sK10(sK28)))
| ~ r1(sK8(sK10(sK28)),sK9(sK10(sK28))) ),
inference(instantiation,[status(thm)],[c_27051]) ).
tcf(c_27213,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27052,c_26721,c_24214,c_23649,c_22126,c_22113,c_21925,c_21906,c_20472,c_13803,c_13790,c_12209,c_8426,c_8418,c_8346,c_8304,c_6656,c_5740,c_5742,c_4053,c_3830,c_2095,c_1323,c_1025,c_1019,c_1013,c_980,c_195,c_137,c_128,c_125,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL660+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 00:04:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 29.56/4.90 % SZS status Started for theBenchmark.p
% 29.56/4.90 % SZS status Theorem for theBenchmark.p
% 29.56/4.90
% 29.56/4.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.56/4.90
% 29.56/4.90 % ------ iProver source info
% 29.56/4.90
% 29.56/4.90 % git: date: 2026-07-19 20:42:38 +0200
% 29.56/4.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.56/4.90 % git: non_committed_changes: false
% 29.56/4.90
% 29.56/4.90 % ------ Parsing...
% 29.56/4.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.56/4.90
% 29.56/4.90 % ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e %
% 29.56/4.90
% 29.56/4.90 % ------ Preprocessing...
% 29.56/4.90 % ------ Proving...
% 29.56/4.90 % ------ Problem Properties
% 29.56/4.90
% 29.56/4.90 %
% 29.56/4.90 % clauses 71
% 29.56/4.90 % conjectures 29
% 29.56/4.90 % EPR 12
% 29.56/4.90 % Horn 30
% 29.56/4.90 % unary 5
% 29.56/4.90 % binary 9
% 29.56/4.90 % lits 260
% 29.56/4.90 % lits eq 0
% 29.56/4.90 % fd_pure 0
% 29.56/4.90 % fd_pseudo 0
% 29.56/4.90 % fd_cond 0
% 29.56/4.90 % fd_pseudo_cond 0
% 29.56/4.90 % AC symbols 0
% 29.56/4.90
% 29.56/4.90 % ------ Input Options Time Limit: Unbounded
% 29.56/4.90
% 29.56/4.90
% 29.56/4.90 % ------
% 29.56/4.90 % Current options:
% 29.56/4.90 % ------
% 29.56/4.90
% 29.56/4.90
% 29.56/4.90 %
% 29.56/4.90
% 29.56/4.90 % ------ Proving...
% 29.56/4.90 %
% 29.56/4.90
% 29.56/4.90 % SZS status Theorem for theBenchmark.p
% 29.56/4.90
% 29.56/4.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.56/4.91
% 29.56/4.91
%------------------------------------------------------------------------------