%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL642+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 : 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 02:07:01 PM UTC 2026
% Result : Theorem 2.62s 1.73s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f10ERROR: Could not build tree for root c_12510ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f14,plain,
! [X0] :
( ~ sP5(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) )
| sP4(X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,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,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ( p2(sK7(X0))
& ~ p2(sK8(X0))
& r1(sK7(X0),sK8(X0))
& r1(X0,sK7(X0)) )
| p2(X0) )
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p2(sK6(X0))
& r1(X0,sK6(X0)) )
| sP4(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X4,sK7(X0)),skolemize(X5,sK8(X0))],[f15]) ).
fof(f17,plain,
! [X0] :
( ~ sP4(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,[],[f11]) ).
fof(f18,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,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ sP4(X0)
| ! [X1] :
( ! [X2] :
( ( p2(sK9(X2))
& ~ p2(sK10(X2))
& r1(sK9(X2),sK10(X2))
& r1(X2,sK9(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X3,sK9(X2)),skolemize(X4,sK10(X2))],[f18]) ).
fof(f20,plain,
! [X22] :
( ~ sP3(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,[],[f10]) ).
fof(f21,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,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ~ sP3(X0)
| ( ! [X5] :
( ( p2(sK13(X5))
& ~ p2(sK14(X5))
& r1(sK13(X5),sK14(X5))
& r1(X5,sK13(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK12(X0),X3) )
& ~ p2(sK12(X0))
& r1(sK11(X0),sK12(X0))
& r1(X0,sK11(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X6,sK13(X5)),skolemize(X7,sK14(X5))],[f21]) ).
fof(f23,plain,
! [X32] :
( ~ sP2(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) )
| sP0(X33) ) )
| ~ r1(X32,X33) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f24,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,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ sP2(X0)
| ! [X1] :
( ( ( ( p2(sK16(X1))
& ~ p2(sK17(X1))
& r1(sK16(X1),sK17(X1))
& r1(X1,sK16(X1)) )
| p2(X1) )
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK15(X1),X3) )
& ~ p2(sK15(X1))
& r1(X1,sK15(X1)) )
| sP0(X1) ) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X1)),skolemize(X5,sK16(X1)),skolemize(X6,sK17(X1))],[f24]) ).
fof(f26,plain,
! [X32] :
( ~ sP1(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,[],[f8]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X5] :
( ( p2(sK20(X5))
& ~ p2(sK21(X5))
& r1(sK20(X5),sK21(X5))
& r1(X5,sK20(X5)) )
| p2(X5)
| ~ r1(X0,X5) )
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK19(X0),X3) )
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0))
& r1(X0,sK18(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X1,sK18(X0)),skolemize(X2,sK19(X0)),skolemize(X6,sK20(X5)),skolemize(X7,sK21(X5))],[f27]) ).
fof(f32,plain,
? [X0] :
( ! [X19] :
( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X19,X20) )
| p2(X19)
| ~ r1(X0,X19) )
& ( ? [X13] :
( ! [X16] :
( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| sP1(X16)
| sP2(X16)
| ~ r1(X13,X16) )
& ( ( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13) )
| sP3(X13) )
& r1(X0,X13) )
| sP5(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,[],[f13]) ).
fof(f33,plain,
( ! [X19] :
( ( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(sK35(X19),X21) )
& ~ p2(sK35(X19))
& r1(X19,sK35(X19)) )
| p2(X19)
| ~ r1(sK24,X19) )
& ( ( ! [X16] :
( ( ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ~ p2(X16) )
| sP1(X16)
| sP2(X16)
| ~ r1(sK34,X16) )
& ( ( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(sK34,X14) )
& ~ p2(sK34) )
| sP3(sK34) )
& r1(sK24,sK34) )
| sP5(sK24) )
& ! [X10] :
( ( p1(sK32(X10))
& ~ p1(sK33(X10))
& r1(sK32(X10),sK33(X10))
& r1(X10,sK32(X10)) )
| p1(X10)
| ~ r1(sK24,X10) )
& ~ p1(sK31)
& r1(sK24,sK31)
& ! [X6] :
( ( p2(sK29(X6))
& ~ p2(sK30(X6))
& r1(sK29(X6),sK30(X6))
& r1(X6,sK29(X6)) )
| p2(X6)
| ~ r1(sK24,X6) )
& ~ p2(sK28)
& r1(sK24,sK28)
& ! [X2] :
( ( p3(sK26(X2))
& ~ p3(sK27(X2))
& r1(sK26(X2),sK27(X2))
& r1(X2,sK26(X2)) )
| p3(X2)
| ~ r1(sK24,X2) )
& ~ p3(sK25)
& r1(sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X3,sK26(X2)),skolemize(X4,sK27(X2)),skolemize(X5,sK28),skolemize(X7,sK29(X6)),skolemize(X8,sK30(X6)),skolemize(X9,sK31),skolemize(X11,sK32(X10)),skolemize(X12,sK33(X10)),skolemize(X13,sK34),skolemize(X20,sK35(X19))],[f32]) ).
fof(f34,plain,
! [X0] :
( ~ sP5(X0)
| p2(sK7(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK7(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X2,X3,X0] :
( ~ sP5(X0)
| ~ p2(X2)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| sP4(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] :
( ~ sP5(X0)
| ~ p2(sK6(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK6(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| p2(sK9(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ p2(sK10(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| r1(sK9(X2),sK10(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| r1(X2,sK9(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(sK13(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X0,X5] :
( ~ sP3(X0)
| ~ p2(sK14(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X0,X5] :
( ~ sP3(X0)
| r1(sK13(X5),sK14(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
! [X0,X5] :
( ~ sP3(X0)
| r1(X5,sK13(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
! [X3,X0,X4] :
( ~ sP3(X0)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK12(X0),X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( ~ sP3(X0)
| ~ p2(sK12(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X0] :
( ~ sP3(X0)
| r1(sK11(X0),sK12(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(sK16(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p2(sK17(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(sK16(X1),sK17(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X1,sK16(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X0,X5] :
( ~ sP1(X0)
| p2(sK20(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0,X5] :
( ~ sP1(X0)
| ~ p2(sK21(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f62,plain,
! [X0,X5] :
( ~ sP1(X0)
| r1(sK20(X5),sK21(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0,X5] :
( ~ sP1(X0)
| r1(X5,sK20(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f28]) ).
fof(f72,plain,
! [X21,X19,X22] :
( ~ p2(X21)
| p2(X22)
| ~ r1(X21,X22)
| ~ r1(sK35(X19),X21)
| p2(X19)
| ~ r1(sK24,X19) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X19] :
( ~ p2(sK35(X19))
| p2(X19)
| ~ r1(sK24,X19) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X19] :
( r1(X19,sK35(X19))
| p2(X19)
| ~ r1(sK24,X19) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X18,X16,X17] :
( ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP1(X16)
| sP2(X16)
| ~ r1(sK34,X16)
| sP5(sK24) ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X16] :
( ~ p2(X16)
| sP1(X16)
| sP2(X16)
| ~ r1(sK34,X16)
| sP5(sK24) ),
inference(cnf_transformation,[],[f33]) ).
fof(f77,plain,
! [X14,X15] :
( ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15)
| ~ r1(sK34,X14)
| sP3(sK34)
| sP5(sK24) ),
inference(cnf_transformation,[],[f33]) ).
fof(f78,plain,
( ~ p2(sK34)
| sP3(sK34)
| sP5(sK24) ),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
( r1(sK24,sK34)
| sP5(sK24) ),
inference(cnf_transformation,[],[f33]) ).
fof(f86,plain,
! [X6] :
( p2(sK29(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f87,plain,
! [X6] :
( ~ p2(sK30(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f88,plain,
! [X6] :
( r1(sK29(X6),sK30(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f89,plain,
! [X6] :
( r1(X6,sK29(X6))
| p2(X6)
| ~ r1(sK24,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
~ p2(sK28),
inference(cnf_transformation,[],[f33]) ).
fof(f91,plain,
r1(sK24,sK28),
inference(cnf_transformation,[],[f33]) ).
fof(f97,plain,
r1(sK24,sK25),
inference(cnf_transformation,[],[f33]) ).
tcf(c_49,plain,
! [X0: $i] :
( sP4(X0)
| r1(X0,sK6(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_50,plain,
! [X0: $i] :
( sP4(X0)
| ~ sP5(X0)
| ~ p2(sK6(X0)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| sP4(X0)
| ~ p2(X1)
| ~ sP5(X0)
| ~ r1(X1,X2)
| ~ r1(sK6(X0),X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_52,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK7(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_55,plain,
! [X0: $i] :
( p2(X0)
| p2(sK7(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(X2,sK9(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| r1(sK9(X2),sK10(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP4(X0)
| ~ p2(sK10(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(sK9(X2))
| ~ sP4(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(X0,sK11(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_61,plain,
! [X0: $i] :
( r1(sK11(X0),sK12(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ sP3(X0)
| ~ p2(sK12(X0)) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| ~ sP3(X0)
| ~ p2(X1)
| ~ r1(X1,X2)
| ~ r1(sK12(X0),X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK13(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK13(X1),sK14(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP3(X0)
| ~ p2(sK14(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK13(X1))
| ~ sP3(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK16(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK16(X1),sK17(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP2(X0)
| ~ p2(sK17(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK16(X1))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(X1,sK20(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| r1(sK20(X1),sK21(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP1(X0)
| ~ p2(sK21(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| p2(sK20(X1))
| ~ sP1(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_87,negated_conjecture,
r1(sK24,sK25),
inference(cnf_transformation,[],[f97]) ).
tcf(c_93,negated_conjecture,
r1(sK24,sK28),
inference(cnf_transformation,[],[f91]) ).
tcf(c_94,negated_conjecture,
~ p2(sK28),
inference(cnf_transformation,[],[f90]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(X0,sK29(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_96,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(sK29(X0),sK30(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_97,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ p2(sK30(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_98,negated_conjecture,
! [X0: $i] :
( p2(X0)
| p2(sK29(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_105,negated_conjecture,
( sP5(sK24)
| r1(sK24,sK34) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_106,negated_conjecture,
( sP3(sK34)
| sP5(sK24)
| ~ p2(sK34) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i] :
( sP3(sK34)
| sP5(sK24)
| p2(X1)
| ~ p2(X0)
| ~ r1(sK34,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_108,negated_conjecture,
! [X0: $i] :
( sP5(sK24)
| sP1(X0)
| sP2(X0)
| ~ p2(X0)
| ~ r1(sK34,X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP5(sK24)
| sP1(X0)
| sP2(X0)
| p2(X2)
| ~ p2(X1)
| ~ r1(sK34,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_110,negated_conjecture,
! [X0: $i] :
( p2(X0)
| r1(X0,sK35(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_111,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ p2(sK35(X0))
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2)
| p2(X0)
| ~ p2(X1)
| ~ r1(sK24,X0)
| ~ r1(X1,X2)
| ~ r1(sK35(X0),X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_125,plain,
( sP4(sK24)
| ~ sP5(sK24)
| ~ p2(sK6(sK24)) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_126,plain,
( sP4(sK24)
| r1(sK24,sK6(sK24))
| ~ sP5(sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7167,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| p2(X1)
| ~ p2(X0)
| ~ r1(sK34,X0)
| ~ r1(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_107]) ).
tcf(c_7168,negated_conjecture,
( iPr_def_10
| sP3(sK34)
| sP5(sK24) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107]) ).
tcf(c_7280,plain,
( ~ p2(sK35(sK28))
| ~ r1(sK24,sK28) ),
inference(resolution,[status(thm)],[c_111,c_94]) ).
tcf(c_7281,plain,
~ p2(sK35(sK28)),
inference(global_subsumption_just,[status(thm)],[c_7280,c_93,c_7280]) ).
tcf(c_7457,plain,
( p2(sK28)
| r1(sK28,sK35(sK28))
| ~ r1(sK24,sK28) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_7545,plain,
( p2(sK34)
| sP5(sK24)
| p2(sK29(sK34)) ),
inference(superposition,[status(thm)],[c_105,c_98]) ).
tcf(c_7574,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p2(X0)
| ~ r1(sK34,X0)
| ~ r1(X0,sK28) ),
inference(resolution,[status(thm)],[c_7167,c_94]) ).
tcf(c_7610,plain,
( p2(sK34)
| ~ iPr_def_10
| ~ sP5(sK34)
| ~ p2(sK7(sK34))
| ~ r1(sK7(sK34),sK28) ),
inference(resolution,[status(thm)],[c_7574,c_52]) ).
tcf(c_7695,plain,
( p2(sK34)
| sP5(sK24)
| ~ p2(sK30(sK34)) ),
inference(superposition,[status(thm)],[c_105,c_97]) ).
tcf(c_7868,plain,
! [X0: $i] :
( p2(sK35(sK28))
| r1(sK9(sK35(sK28)),sK10(sK35(sK28)))
| ~ sP4(X0)
| ~ r1(X0,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7869,plain,
! [X0: $i] :
( p2(sK35(sK28))
| r1(sK35(sK28),sK9(sK35(sK28)))
| ~ sP4(X0)
| ~ r1(X0,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7870,plain,
! [X0: $i] :
( p2(sK35(sK28))
| p2(sK9(sK35(sK28)))
| ~ sP4(X0)
| ~ r1(X0,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_7871,plain,
! [X0: $i] :
( p2(sK35(sK28))
| ~ sP4(X0)
| ~ r1(X0,sK28)
| ~ p2(sK10(sK35(sK28)))
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_7872,plain,
( p2(sK35(sK28))
| ~ sP4(sK24)
| ~ r1(sK24,sK28)
| ~ p2(sK10(sK35(sK28)))
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_7871]) ).
tcf(c_7873,plain,
( p2(sK35(sK28))
| p2(sK9(sK35(sK28)))
| ~ sP4(sK24)
| ~ r1(sK24,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_7870]) ).
tcf(c_7874,plain,
( p2(sK35(sK28))
| r1(sK35(sK28),sK9(sK35(sK28)))
| ~ sP4(sK24)
| ~ r1(sK24,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_7869]) ).
tcf(c_7875,plain,
( p2(sK35(sK28))
| r1(sK9(sK35(sK28)),sK10(sK35(sK28)))
| ~ sP4(sK24)
| ~ r1(sK24,sK28)
| ~ r1(sK28,sK35(sK28)) ),
inference(instantiation,[status(thm)],[c_7868]) ).
tcf(c_7967,plain,
( p2(sK6(sK24))
| r1(sK29(sK6(sK24)),sK30(sK6(sK24)))
| ~ r1(sK24,sK6(sK24)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_7968,plain,
( p2(sK6(sK24))
| r1(sK6(sK24),sK29(sK6(sK24)))
| ~ r1(sK24,sK6(sK24)) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_8010,plain,
! [X0: $i,X1: $i] :
( ~ sP4(X1)
| ~ r1(X1,X0)
| ~ p2(sK10(sK35(sK28)))
| ~ r1(X0,sK35(sK28)) ),
inference(resolution,[status(thm)],[c_58,c_7281]) ).
tcf(c_8027,plain,
( sP4(sK24)
| p2(sK6(sK24))
| ~ sP5(sK24)
| ~ p2(sK30(sK6(sK24))) ),
inference(superposition,[status(thm)],[c_49,c_97]) ).
tcf(c_8029,plain,
( sP4(sK24)
| p2(sK6(sK24))
| p2(sK29(sK6(sK24)))
| ~ sP5(sK24) ),
inference(superposition,[status(thm)],[c_49,c_98]) ).
tcf(c_8128,plain,
! [X0: $i] :
( sP4(sK24)
| p2(X0)
| ~ sP5(sK24)
| ~ p2(sK29(sK6(sK24)))
| ~ r1(sK29(sK6(sK24)),X0)
| ~ r1(sK6(sK24),sK29(sK6(sK24))) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8152,plain,
( p2(sK34)
| sP5(sK24)
| ~ p2(sK35(sK34)) ),
inference(superposition,[status(thm)],[c_105,c_111]) ).
tcf(c_8278,plain,
( sP5(sK24)
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| ~ sP3(sK34)
| ~ p2(sK11(sK34)) ),
inference(superposition,[status(thm)],[c_60,c_108]) ).
tcf(c_8466,plain,
! [X0: $i] :
( p2(sK28)
| p2(X0)
| ~ r1(sK24,sK28)
| ~ p2(sK9(sK35(sK28)))
| ~ r1(sK9(sK35(sK28)),X0)
| ~ r1(sK35(sK28),sK9(sK35(sK28))) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_8502,plain,
( ~ sP4(sK24)
| ~ p2(sK10(sK35(sK28)))
| ~ r1(sK25,sK35(sK28)) ),
inference(resolution,[status(thm)],[c_8010,c_87]) ).
tcf(c_8503,plain,
( ~ sP4(sK24)
| ~ p2(sK10(sK35(sK28))) ),
inference(global_subsumption_just,[status(thm)],[c_8502,c_94,c_93,c_7280,c_7457,c_7872]) ).
tcf(c_8542,plain,
( p2(sK28)
| p2(sK10(sK35(sK28)))
| ~ r1(sK24,sK28)
| ~ p2(sK9(sK35(sK28)))
| ~ r1(sK35(sK28),sK9(sK35(sK28)))
| ~ r1(sK9(sK35(sK28)),sK10(sK35(sK28))) ),
inference(instantiation,[status(thm)],[c_8466]) ).
tcf(c_8603,plain,
( sP4(sK24)
| p2(sK30(sK6(sK24)))
| ~ sP5(sK24)
| ~ p2(sK29(sK6(sK24)))
| ~ r1(sK6(sK24),sK29(sK6(sK24)))
| ~ r1(sK29(sK6(sK24)),sK30(sK6(sK24))) ),
inference(instantiation,[status(thm)],[c_8128]) ).
tcf(c_8607,plain,
! [X0: $i,X1: $i] :
( r1(sK10(sK35(sK28)),sK9(sK10(sK35(sK28))))
| ~ sP4(sK24)
| ~ sP4(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK10(sK35(sK28))) ),
inference(resolution,[status(thm)],[c_8503,c_56]) ).
tcf(c_8609,plain,
~ sP4(sK24),
inference(global_subsumption_just,[status(thm)],[c_8607,c_94,c_93,c_7280,c_7457,c_7872,c_7873,c_7874,c_7875,c_8542]) ).
tcf(c_8654,plain,
( ~ sP5(sK24)
| ~ p2(sK6(sK24)) ),
inference(resolution,[status(thm)],[c_8609,c_50]) ).
tcf(c_8655,plain,
~ sP5(sK24),
inference(global_subsumption_just,[status(thm)],[c_8654,c_125,c_126,c_7968,c_7967,c_8029,c_8027,c_8603,c_8609]) ).
tcf(c_8659,plain,
( sP3(sK34)
| ~ p2(sK34) ),
inference(resolution,[status(thm)],[c_8655,c_106]) ).
tcf(c_8660,plain,
( iPr_def_10
| sP3(sK34) ),
inference(resolution,[status(thm)],[c_8655,c_7168]) ).
tcf(c_8664,plain,
( ~ p2(sK34)
| ~ p2(sK12(sK34)) ),
inference(resolution,[status(thm)],[c_8659,c_62]) ).
tcf(c_8667,plain,
( iPr_def_10
| ~ p2(sK12(sK34)) ),
inference(resolution,[status(thm)],[c_8660,c_62]) ).
tcf(c_8673,plain,
! [X0: $i] :
( ~ p2(sK34)
| ~ sP1(X0)
| ~ p2(sK21(sK12(sK34)))
| ~ r1(X0,sK12(sK34)) ),
inference(resolution,[status(thm)],[c_8664,c_81]) ).
tcf(c_8674,plain,
! [X0: $i] :
( ~ p2(sK34)
| ~ sP2(X0)
| ~ p2(sK17(sK12(sK34)))
| ~ r1(X0,sK12(sK34)) ),
inference(resolution,[status(thm)],[c_8664,c_73]) ).
tcf(c_8689,plain,
( p2(sK34)
| r1(sK34,sK35(sK34))
| ~ r1(sK24,sK34) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_8692,plain,
( p2(sK34)
| r1(sK29(sK34),sK30(sK34))
| ~ r1(sK24,sK34) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_8693,plain,
( p2(sK34)
| r1(sK34,sK29(sK34))
| ~ r1(sK24,sK34) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_8730,plain,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ sP3(sK34)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK12(sK34),X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_8731,plain,
! [X0: $i] :
( p2(X0)
| r1(sK13(X0),sK14(X0))
| ~ sP3(sK34)
| ~ r1(sK34,X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_8732,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK13(X0))
| ~ sP3(sK34)
| ~ r1(sK34,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_8733,plain,
! [X0: $i] :
( p2(X0)
| p2(sK13(X0))
| ~ sP3(sK34)
| ~ r1(sK34,X0) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_8734,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK34)
| ~ p2(sK14(X0))
| ~ r1(sK34,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_8735,plain,
( r1(sK11(sK34),sK12(sK34))
| ~ sP3(sK34) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8736,plain,
( ~ sP3(sK34)
| ~ p2(sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_8737,plain,
( r1(sK34,sK11(sK34))
| ~ sP3(sK34) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_8975,plain,
( ~ sP3(sK34)
| ~ p2(sK34)
| ~ sP1(sK11(sK34))
| ~ p2(sK21(sK12(sK34))) ),
inference(resolution,[status(thm)],[c_8673,c_61]) ).
tcf(c_8976,plain,
( ~ p2(sK21(sK12(sK34)))
| ~ sP1(sK11(sK34))
| ~ p2(sK34) ),
inference(global_subsumption_just,[status(thm)],[c_8975,c_94,c_93,c_106,c_125,c_126,c_7280,c_7457,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8975]) ).
tcf(c_8977,plain,
( ~ p2(sK34)
| ~ sP1(sK11(sK34))
| ~ p2(sK21(sK12(sK34))) ),
inference(renaming,[status(thm)],[c_8976]) ).
tcf(c_8985,plain,
( ~ sP3(sK34)
| ~ p2(sK34)
| ~ sP2(sK11(sK34))
| ~ p2(sK17(sK12(sK34))) ),
inference(resolution,[status(thm)],[c_8674,c_61]) ).
tcf(c_8986,plain,
( ~ p2(sK17(sK12(sK34)))
| ~ sP2(sK11(sK34))
| ~ p2(sK34) ),
inference(global_subsumption_just,[status(thm)],[c_8985,c_94,c_93,c_106,c_125,c_126,c_7280,c_7457,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8985]) ).
tcf(c_8987,plain,
( ~ p2(sK34)
| ~ sP2(sK11(sK34))
| ~ p2(sK17(sK12(sK34))) ),
inference(renaming,[status(thm)],[c_8986]) ).
tcf(c_9063,plain,
! [X0: $i] :
( p2(X0)
| ~ iPr_def_10
| ~ p2(sK29(sK34))
| ~ r1(sK34,sK29(sK34))
| ~ r1(sK29(sK34),X0) ),
inference(instantiation,[status(thm)],[c_7167]) ).
tcf(c_9168,plain,
( p2(sK30(sK34))
| ~ iPr_def_10
| ~ p2(sK29(sK34))
| ~ r1(sK34,sK29(sK34))
| ~ r1(sK29(sK34),sK30(sK34)) ),
inference(instantiation,[status(thm)],[c_9063]) ).
tcf(c_9246,plain,
( p2(sK34)
| ~ iPr_def_10
| ~ sP5(sK34)
| ~ r1(sK7(sK34),sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7610,c_55]) ).
tcf(c_9251,plain,
( p2(sK34)
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_9246,c_94,c_93,c_105,c_125,c_126,c_7280,c_7457,c_7545,c_7695,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8693,c_8692,c_9168]) ).
tcf(c_9329,plain,
! [X0: $i,X1: $i] :
( sP5(sK24)
| p2(X1)
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(sK34,sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_9350,plain,
( p2(sK11(sK34))
| p2(sK13(sK11(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK11(sK34)) ),
inference(instantiation,[status(thm)],[c_8733]) ).
tcf(c_9351,plain,
( p2(sK35(sK34))
| p2(sK13(sK35(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK35(sK34)) ),
inference(instantiation,[status(thm)],[c_8733]) ).
tcf(c_9396,plain,
! [X0: $i,X1: $i] :
( iPr_def_10
| ~ sP3(X0)
| ~ p2(X1)
| ~ r1(X1,sK12(sK34))
| ~ r1(sK12(X0),X1) ),
inference(resolution,[status(thm)],[c_63,c_8667]) ).
tcf(c_9397,plain,
! [X0: $i,X1: $i] :
( ~ p2(sK34)
| ~ sP3(X0)
| ~ p2(X1)
| ~ r1(X1,sK12(sK34))
| ~ r1(sK12(X0),X1) ),
inference(resolution,[status(thm)],[c_63,c_8664]) ).
tcf(c_9400,plain,
! [X0: $i,X1: $i] :
( ~ r1(sK12(X0),X1)
| ~ r1(X1,sK12(sK34))
| ~ p2(X1)
| ~ sP3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9396,c_94,c_93,c_105,c_125,c_126,c_7280,c_7457,c_7545,c_7695,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8693,c_8692,c_9168,c_9397,c_9396]) ).
tcf(c_9401,plain,
! [X0: $i,X1: $i] :
( ~ sP3(X0)
| ~ p2(X1)
| ~ r1(X1,sK12(sK34))
| ~ r1(sK12(X0),X1) ),
inference(renaming,[status(thm)],[c_9400]) ).
tcf(c_9460,plain,
( p2(sK11(sK34))
| ~ sP3(sK34)
| ~ p2(sK14(sK11(sK34)))
| ~ r1(sK34,sK11(sK34)) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_9461,plain,
( p2(sK35(sK34))
| ~ sP3(sK34)
| ~ p2(sK14(sK35(sK34)))
| ~ r1(sK34,sK35(sK34)) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_9465,plain,
( p2(sK11(sK34))
| r1(sK13(sK11(sK34)),sK14(sK11(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK11(sK34)) ),
inference(instantiation,[status(thm)],[c_8731]) ).
tcf(c_9466,plain,
( p2(sK35(sK34))
| r1(sK13(sK35(sK34)),sK14(sK35(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK35(sK34)) ),
inference(instantiation,[status(thm)],[c_8731]) ).
tcf(c_9470,plain,
( p2(sK11(sK34))
| r1(sK11(sK34),sK13(sK11(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK11(sK34)) ),
inference(instantiation,[status(thm)],[c_8732]) ).
tcf(c_9471,plain,
( p2(sK35(sK34))
| r1(sK35(sK34),sK13(sK35(sK34)))
| ~ sP3(sK34)
| ~ r1(sK34,sK35(sK34)) ),
inference(instantiation,[status(thm)],[c_8732]) ).
tcf(c_9584,plain,
( ~ sP3(sK34)
| ~ p2(sK12(sK34))
| ~ r1(sK12(sK34),sK12(sK34)) ),
inference(factoring,[status(thm)],[c_9401]) ).
tcf(c_9585,plain,
~ p2(sK12(sK34)),
inference(global_subsumption_just,[status(thm)],[c_9584,c_94,c_93,c_125,c_126,c_7168,c_7280,c_7457,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8659,c_8736,c_9251]) ).
tcf(c_9883,plain,
! [X0: $i] :
( p2(X0)
| r1(sK16(X0),sK17(X0))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_9884,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK16(X0))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_9886,plain,
! [X0: $i] :
( p2(X0)
| p2(sK16(X0))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_9953,plain,
! [X0: $i] :
( p2(sK34)
| p2(X0)
| ~ r1(sK24,sK34)
| ~ p2(sK13(sK35(sK34)))
| ~ r1(sK13(sK35(sK34)),X0)
| ~ r1(sK35(sK34),sK13(sK35(sK34))) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_10147,plain,
( p2(sK34)
| p2(sK14(sK35(sK34)))
| ~ r1(sK24,sK34)
| ~ p2(sK13(sK35(sK34)))
| ~ r1(sK35(sK34),sK13(sK35(sK34)))
| ~ r1(sK13(sK35(sK34)),sK14(sK35(sK34))) ),
inference(instantiation,[status(thm)],[c_9953]) ).
tcf(c_10157,negated_conjecture,
r1(sK24,sK34),
inference(global_subsumption_just,[status(thm)],[c_105,c_105,c_8655]) ).
tcf(c_10159,negated_conjecture,
sP3(sK34),
inference(global_subsumption_just,[status(thm)],[c_7168,c_94,c_93,c_125,c_126,c_7168,c_7280,c_7457,c_7872,c_7873,c_7874,c_7875,c_7968,c_7967,c_8029,c_8027,c_8542,c_8603,c_8659,c_9251]) ).
tcf(c_10168,plain,
( p2(sK34)
| p2(sK29(sK34)) ),
inference(superposition,[status(thm)],[c_10157,c_98]) ).
tcf(c_10203,plain,
p2(sK34),
inference(global_subsumption_just,[status(thm)],[c_10168,c_105,c_8152,c_8655,c_8689,c_9351,c_9461,c_9466,c_9471,c_10147,c_10159]) ).
tcf(c_10648,plain,
( p2(sK12(sK34))
| p2(sK16(sK12(sK34)))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_9886]) ).
tcf(c_10660,plain,
( p2(sK12(sK34))
| r1(sK16(sK12(sK34)),sK17(sK12(sK34)))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_9883]) ).
tcf(c_10663,plain,
( p2(sK12(sK34))
| r1(sK12(sK34),sK16(sK12(sK34)))
| ~ sP2(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_9884]) ).
tcf(c_10804,plain,
! [X0: $i] :
( p2(X0)
| r1(sK20(X0),sK21(X0))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_10805,plain,
! [X0: $i] :
( p2(X0)
| r1(X0,sK20(X0))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_10806,plain,
! [X0: $i] :
( p2(X0)
| p2(sK20(X0))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_11103,plain,
( p2(sK12(sK34))
| p2(sK20(sK12(sK34)))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_10806]) ).
tcf(c_11162,plain,
( p2(sK12(sK34))
| r1(sK20(sK12(sK34)),sK21(sK12(sK34)))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_10804]) ).
tcf(c_11166,plain,
( p2(sK12(sK34))
| r1(sK12(sK34),sK20(sK12(sK34)))
| ~ sP1(sK11(sK34))
| ~ r1(sK11(sK34),sK12(sK34)) ),
inference(instantiation,[status(thm)],[c_10805]) ).
tcf(c_11663,plain,
! [X0: $i] :
( sP5(sK24)
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| p2(sK14(sK11(sK34)))
| ~ p2(X0)
| ~ r1(sK34,sK11(sK34))
| ~ r1(sK11(sK34),X0)
| ~ r1(X0,sK14(sK11(sK34))) ),
inference(instantiation,[status(thm)],[c_9329]) ).
tcf(c_11996,plain,
( sP5(sK24)
| sP1(sK11(sK34))
| sP2(sK11(sK34))
| p2(sK14(sK11(sK34)))
| ~ p2(sK13(sK11(sK34)))
| ~ r1(sK34,sK11(sK34))
| ~ r1(sK11(sK34),sK13(sK11(sK34)))
| ~ r1(sK13(sK11(sK34)),sK14(sK11(sK34))) ),
inference(instantiation,[status(thm)],[c_11663]) ).
tcf(c_12124,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK34)
| ~ p2(sK16(sK12(sK34)))
| ~ r1(sK16(sK12(sK34)),X0)
| ~ r1(sK12(sK34),sK16(sK12(sK34))) ),
inference(instantiation,[status(thm)],[c_8730]) ).
tcf(c_12268,plain,
( p2(sK17(sK12(sK34)))
| ~ sP3(sK34)
| ~ p2(sK16(sK12(sK34)))
| ~ r1(sK12(sK34),sK16(sK12(sK34)))
| ~ r1(sK16(sK12(sK34)),sK17(sK12(sK34))) ),
inference(instantiation,[status(thm)],[c_12124]) ).
tcf(c_12455,plain,
! [X0: $i] :
( p2(X0)
| ~ sP3(sK34)
| ~ p2(sK20(sK12(sK34)))
| ~ r1(sK20(sK12(sK34)),X0)
| ~ r1(sK12(sK34),sK20(sK12(sK34))) ),
inference(instantiation,[status(thm)],[c_8730]) ).
tcf(c_12509,plain,
( p2(sK21(sK12(sK34)))
| ~ sP3(sK34)
| ~ p2(sK20(sK12(sK34)))
| ~ r1(sK12(sK34),sK20(sK12(sK34)))
| ~ r1(sK20(sK12(sK34)),sK21(sK12(sK34))) ),
inference(instantiation,[status(thm)],[c_12455]) ).
tcf(c_12510,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12509,c_12268,c_11996,c_11166,c_11162,c_11103,c_10663,c_10660,c_10648,c_10203,c_10159,c_9585,c_9470,c_9465,c_9460,c_9350,c_8987,c_8977,c_8735,c_8737,c_8655,c_8278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL642+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
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 23:51:07 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
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.62/1.73 % SZS status Started for theBenchmark.p
% 2.62/1.73 % SZS status Theorem for theBenchmark.p
% 2.62/1.73
% 2.62/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.62/1.73
% 2.62/1.73 % ------ iProver source info
% 2.62/1.73
% 2.62/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 2.62/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.62/1.73 % git: non_committed_changes: false
% 2.62/1.73
% 2.62/1.73 % ------ Parsing...
% 2.62/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.62/1.73
% 2.62/1.73 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.62/1.73
% 2.62/1.73 % ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.62/1.73 % ------ Proving...
% 2.62/1.73 % ------ Problem Properties
% 2.62/1.73
% 2.62/1.73 %
% 2.62/1.73 % clauses 63
% 2.62/1.73 % conjectures 25
% 2.62/1.73 % EPR 12
% 2.62/1.73 % Horn 27
% 2.62/1.73 % unary 6
% 2.62/1.73 % binary 7
% 2.62/1.73 % lits 223
% 2.62/1.73 % lits eq 0
% 2.62/1.73 % fd_pure 0
% 2.62/1.73 % fd_pseudo 0
% 2.62/1.73 % fd_cond 0
% 2.62/1.73 % fd_pseudo_cond 0
% 2.62/1.73 % AC symbols 0
% 2.62/1.73
% 2.62/1.73 % ------ Input Options Time Limit: Unbounded
% 2.62/1.73
% 2.62/1.73
% 2.62/1.73 % ------
% 2.62/1.73 % Current options:
% 2.62/1.73 % ------
% 2.62/1.73
% 2.62/1.73
% 2.62/1.73 %
% 2.62/1.73
% 2.62/1.73 % ------ Proving...
% 2.62/1.73 %
% 2.62/1.73
% 2.62/1.73 % SZS status Theorem for theBenchmark.p
% 2.62/1.73
% 2.62/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.62/1.74
% 2.62/1.74
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