%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL640+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 : n006.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 02:07:00 PM UTC 2026
% Result : Theorem 0.95s 6.21s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 191 ( 13 unt; 4 def)
% Number of atoms : 1348 ( 0 equ)
% Maximal formula atoms : 62 ( 7 avg)
% Number of connectives : 2019 ( 889 ~; 983 |; 147 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-1 aty)
% Number of variables : 524 ( 0 sgn 460 !; 64 ?; 162 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ~ ! [X28] :
( ~ ! [X32] :
( ~ ! [X33] :
( ~ p1(X33)
| ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
| ! [X30] :
( ~ ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X28,X30) )
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
| ~ ! [X1] :
( ( ( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X1,X25) )
| ! [X21] :
( ! [X22] :
( ~ ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X1,X21) ) )
& ! [X17] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X17,X20) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X1,X17) )
& ( ~ ! [X14] :
( ~ ! [X15] :
( ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| p1(X14)
| ~ r1(X1,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) )
& ( ~ ! [X6] :
( ~ ! [X8] :
( ~ ( ~ p1(X8)
| ! [X11] :
( p1(X11)
| ~ r1(X8,X11) ) )
| ! [X9] :
( ~ p1(X9)
| ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ p1(X6)
| ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ~ r1(X1,X6) )
| ! [X3] :
( ~ ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ p1(X1)
| ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X28] :
( ~ ! [X32] :
( ~ ! [X33] :
( ~ p1(X33)
| ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
| ! [X30] :
( ~ ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X28,X30) )
| ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
| ~ ! [X1] :
( ( ( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X1,X25) )
| ! [X21] :
( ! [X22] :
( ~ ! [X23] :
( ~ p1(X23)
| ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X1,X21) ) )
& ! [X17] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X17,X20) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X1,X17) )
& ( ~ ! [X14] :
( ~ ! [X15] :
( ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| p1(X14)
| ~ r1(X1,X14) )
| ! [X12] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) )
& ( ~ ! [X6] :
( ~ ! [X8] :
( ~ ( ~ p1(X8)
| ! [X11] :
( p1(X11)
| ~ r1(X8,X11) ) )
| ! [X9] :
( ~ p1(X9)
| ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
| ~ p1(X6)
| ! [X7] :
( p1(X7)
| ~ r1(X6,X7) )
| ~ r1(X1,X6) )
| ! [X3] :
( ~ ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ p1(X1)
| ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) ) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ? [X28] :
( ! [X32] :
( ? [X33] :
( p1(X33)
& ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
& r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
& ? [X30] :
( ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
& r1(X28,X30) )
& ? [X29] :
( ~ p1(X29)
& r1(X28,X29) )
& r1(X0,X28) )
& ! [X1] :
( ( ( ? [X25] :
( ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
& ~ p1(X25)
& r1(X1,X25) )
| ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X1,X21) ) )
& ! [X17] :
( ? [X20] :
( ~ p1(X20)
& r1(X17,X20) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X1,X17) )
& ( ? [X14] :
( ! [X15] :
( ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p1(X14)
& r1(X1,X14) )
| ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) )
& ( ? [X6] :
( ! [X8] :
( ( p1(X8)
& ? [X11] :
( ~ p1(X11)
& r1(X8,X11) ) )
| ! [X9] :
( ~ p1(X9)
| ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
& p1(X6)
& ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
& r1(X1,X6) )
| ! [X3] :
( ? [X4] :
( p1(X4)
& ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
& r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ p1(X1)
| ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) ) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X1] :
( ~ sP3(X1)
| sP1(X1)
| ! [X3] :
( ? [X4] :
( p1(X4)
& ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
& r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ p1(X1)
| ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ( p1(sK4(X2))
& ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2))
& r1(X2,sK4(X2)) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f12]) ).
fof(f14,plain,
! [X1] :
( ~ sP2(X1)
| ? [X14] :
( ! [X15] :
( ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p1(X14)
& r1(X1,X14) )
| ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( ~ sP2(X0)
| ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p1(X3)
& r1(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| ! [X1] :
( ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f15]) ).
fof(f17,plain,
! [X1] :
( ~ sP1(X1)
| ? [X6] :
( ! [X8] :
( ( p1(X8)
& ? [X11] :
( ~ p1(X11)
& r1(X8,X11) ) )
| ! [X9] :
( ~ p1(X9)
| ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
& p1(X6)
& ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
& r1(X1,X6) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( ! [X3] :
( ( p1(X3)
& ? [X6] :
( ~ p1(X6)
& r1(X3,X6) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
& p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X3] :
( ( p1(X3)
& ~ p1(sK10(X3))
& r1(X3,sK10(X3)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK8(X0),X3) )
& p1(sK8(X0))
& ~ p1(sK9(X0))
& r1(sK8(X0),sK9(X0))
& r1(X0,sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f18]) ).
fof(f23,plain,
? [X0] :
( ? [X9] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
& r1(X13,X14) )
| p1(X13)
| ~ r1(X9,X13) )
& ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X9,X11) )
& ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
& r1(X0,X9) )
& ! [X1] :
( ( ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| sP0(X1) )
& ! [X2] :
( ? [X5] :
( ~ p1(X5)
& r1(X2,X5) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP2(X1)
& sP3(X1) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f24,plain,
( ! [X13] :
( ( p1(sK19(X13))
& ~ p1(sK20(X13))
& r1(sK19(X13),sK20(X13))
& r1(X13,sK19(X13)) )
| p1(X13)
| ~ r1(sK16,X13) )
& ! [X12] :
( p1(X12)
| ~ r1(sK18,X12) )
& r1(sK16,sK18)
& ~ p1(sK17)
& r1(sK16,sK17)
& r1(sK13,sK16)
& ! [X1] :
( ( ( ( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(sK15(X1),X7) )
& ~ p1(sK15(X1))
& r1(X1,sK15(X1)) )
| sP0(X1) )
& ! [X2] :
( ( ~ p1(sK14(X2))
& r1(X2,sK14(X2)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& sP2(X1)
& sP3(X1) )
| ~ r1(sK13,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK13),skolemize(X5,sK14(X2)),skolemize(X6,sK15(X1)),skolemize(X9,sK16),skolemize(X10,sK17),skolemize(X11,sK18),skolemize(X14,sK19(X13)),skolemize(X15,sK20(X13))],[f23]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(sK4(X2),sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(X2,sK4(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| p1(X3)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f46,plain,
! [X13] :
( p1(sK19(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X13] :
( ~ p1(sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X13] :
( r1(sK19(X13),sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X13] :
( r1(X13,sK19(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X12] :
( p1(X12)
| ~ r1(sK18,X12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f51,plain,
r1(sK16,sK18),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
~ p1(sK17),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
r1(sK16,sK17),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
r1(sK13,sK16),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
! [X1,X8,X7] :
( ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(sK15(X1),X7)
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
! [X1] :
( ~ p1(sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
! [X1] :
( r1(X1,sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
! [X2,X3,X1,X4] :
( ~ p1(sK14(X2))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X2,X3,X1,X4] :
( r1(X2,sK14(X2))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
! [X1] :
( sP2(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X1] :
( sP3(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(X2,sK4(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| ~ sP3(X0)
| ~ p1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| r1(X2,sK6(X2))
| ~ sP2(X0)
| ~ p1(X1)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| ~ sP2(X0)
| ~ p1(X1)
| ~ p1(sK6(X2))
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_59,plain,
! [X0: $i] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X1)
| ~ sP1(X0)
| ~ p1(X2)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK8(X0),X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_70,negated_conjecture,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( sP2(X0)
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK14(X1))
| ~ r1(sK13,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ p1(sK14(X1))
| ~ r1(sK13,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_74,negated_conjecture,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK15(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( sP0(X0)
| ~ p1(sK15(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| p1(X2)
| ~ p1(X1)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(sK15(X0),X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_77,negated_conjecture,
r1(sK13,sK16),
inference(cnf_transformation,[],[f54]) ).
tcf(c_78,negated_conjecture,
r1(sK16,sK17),
inference(cnf_transformation,[],[f53]) ).
tcf(c_79,negated_conjecture,
~ p1(sK17),
inference(cnf_transformation,[],[f52]) ).
tcf(c_80,negated_conjecture,
r1(sK16,sK18),
inference(cnf_transformation,[],[f51]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK18,X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK19(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK19(X0),sK20(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK20(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK19(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| ~ p1(X0)
| ~ p1(sK5(X2))
| ~ r1(sK13,X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_51]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ p1(X0)
| ~ r1(sK13,X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_50]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(X2,sK4(X2))
| ~ p1(X0)
| ~ r1(sK13,X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_70,c_49]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| ~ p1(X1)
| ~ p1(sK6(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(resolution,[status(thm)],[c_71,c_58]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_57]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_56]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| r1(X2,sK6(X2))
| ~ p1(X1)
| ~ r1(sK13,X0)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(resolution,[status(thm)],[c_71,c_55]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ p1(sK7(X0))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_54]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_71,c_53]) ).
tcf(c_3558,plain,
( ~ p1(sK20(sK17))
| ~ r1(sK16,sK17) ),
inference(resolution,[status(thm)],[c_84,c_79]) ).
tcf(c_3559,plain,
~ p1(sK20(sK17)),
inference(global_subsumption_just,[status(thm)],[c_3558,c_78,c_3558]) ).
tcf(c_3615,plain,
( sP0(sK16)
| r1(sK16,sK15(sK16))
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_3622,plain,
( p1(sK17)
| r1(sK17,sK19(sK17))
| ~ r1(sK16,sK17) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK14(X0))
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_3664,plain,
! [X0: $i] :
( p1(sK16)
| r1(sK16,sK7(sK16))
| r1(X0,sK6(X0))
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_644]) ).
tcf(c_3781,plain,
( sP0(sK16)
| p1(sK15(sK16))
| p1(sK19(sK15(sK16)))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_74,c_85]) ).
tcf(c_3817,plain,
( p1(sK15(sK16))
| r1(sK19(sK15(sK16)),sK20(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3818,plain,
( p1(sK15(sK16))
| r1(sK15(sK16),sK19(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3830,plain,
( sP0(sK16)
| ~ p1(sK15(sK16)) ),
inference(superposition,[status(thm)],[c_77,c_75]) ).
tcf(c_3845,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| r1(sK16,sK7(sK16))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_3664]) ).
tcf(c_3867,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK18,sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_3662]) ).
tcf(c_3902,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| p1(X1)
| ~ r1(sK13,X0)
| ~ p1(sK19(sK15(sK16)))
| ~ r1(sK19(sK15(sK16)),X1)
| ~ r1(sK15(X0),sK19(sK15(sK16))) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_3926,plain,
( sP0(sK16)
| p1(sK15(sK16))
| ~ r1(sK13,sK16)
| ~ p1(sK20(sK15(sK16))) ),
inference(superposition,[status(thm)],[c_74,c_84]) ).
tcf(c_3992,plain,
( p1(sK7(sK16))
| r1(sK19(sK7(sK16)),sK20(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3993,plain,
( p1(sK7(sK16))
| r1(sK7(sK16),sK19(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_4089,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| p1(X0)
| r1(X2,sK6(X2))
| ~ r1(sK13,X0)
| ~ r1(X0,X2)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X1)
| ~ r1(sK7(X0),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| p1(X0)
| ~ p1(sK6(X2))
| ~ r1(sK13,X0)
| ~ r1(X0,X2)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X1)
| ~ r1(sK7(X0),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_543]) ).
tcf(c_4101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p1(sK14(X1))
| ~ r1(sK13,X0)
| ~ r1(X2,sK17)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_73,c_79]) ).
tcf(c_4103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p1(sK14(X2))
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| ~ r1(X0,sK20(sK17)) ),
inference(resolution,[status(thm)],[c_73,c_3559]) ).
tcf(c_4181,plain,
! [X0: $i] :
( ~ p1(sK14(sK16))
| ~ r1(sK13,sK13)
| ~ r1(sK16,X0)
| ~ r1(X0,sK17) ),
inference(resolution,[status(thm)],[c_4101,c_77]) ).
tcf(c_4209,plain,
! [X0: $i] :
( sP0(sK16)
| p1(X0)
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK15(sK16)))
| ~ r1(sK19(sK15(sK16)),X0)
| ~ r1(sK15(sK16),sK19(sK15(sK16))) ),
inference(instantiation,[status(thm)],[c_3902]) ).
tcf(c_4253,plain,
! [X0: $i,X1: $i] :
( sP1(sK16)
| p1(X0)
| r1(X1,sK4(X1))
| ~ p1(sK16)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X1)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_493]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] :
( sP1(sK16)
| p1(X0)
| r1(sK4(X1),sK5(X1))
| ~ p1(sK16)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X1)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_471]) ).
tcf(c_4255,plain,
! [X0: $i,X1: $i] :
( sP1(sK16)
| p1(X0)
| ~ p1(sK16)
| ~ r1(sK13,sK16)
| ~ p1(sK5(X1))
| ~ r1(sK16,X1)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_4287,plain,
! [X0: $i,X1: $i] :
( p1(sK16)
| p1(X0)
| r1(X1,sK6(X1))
| ~ r1(sK13,sK16)
| ~ r1(sK16,X1)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X0)
| ~ r1(sK7(sK16),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_4089]) ).
tcf(c_4292,plain,
( sP0(sK16)
| p1(sK15(sK16))
| p1(sK19(sK15(sK16)))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_74,c_85]) ).
tcf(c_4361,plain,
! [X0: $i] :
( p1(sK16)
| p1(X0)
| r1(sK18,sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X0)
| ~ r1(sK7(sK16),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_4287]) ).
tcf(c_4424,plain,
! [X0: $i] :
( sP1(sK16)
| p1(X0)
| r1(sK18,sK4(sK18))
| ~ p1(sK16)
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_4253]) ).
tcf(c_4458,plain,
! [X0: $i] :
( sP1(sK16)
| p1(X0)
| r1(sK4(sK18),sK5(sK18))
| ~ p1(sK16)
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_4254]) ).
tcf(c_4505,plain,
( sP1(sK16)
| p1(sK17)
| r1(sK18,sK4(sK18))
| ~ p1(sK16)
| ~ r1(sK16,sK18)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_4424]) ).
tcf(c_4597,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| ~ sP1(sK16)
| ~ p1(X1)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK8(sK16),X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_4599,plain,
( r1(sK8(sK16),sK9(sK16))
| ~ sP1(sK16) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_4600,plain,
( r1(sK16,sK8(sK16))
| ~ sP1(sK16) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_4602,plain,
( ~ sP1(sK16)
| ~ p1(sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_4610,plain,
( sP0(sK16)
| p1(sK19(sK15(sK16))) ),
inference(global_subsumption_just,[status(thm)],[c_4292,c_77,c_3781,c_3830]) ).
tcf(c_4751,plain,
( p1(sK6(sK18))
| ~ r1(sK18,sK6(sK18)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4775,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(X0)
| ~ p1(sK6(sK18))
| ~ r1(sK13,X0)
| ~ r1(X0,sK18)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X1)
| ~ r1(sK7(X0),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_4090]) ).
tcf(c_4907,plain,
( sP0(sK16)
| p1(sK20(sK15(sK16)))
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK15(sK16)))
| ~ r1(sK15(sK16),sK19(sK15(sK16)))
| ~ r1(sK19(sK15(sK16)),sK20(sK15(sK16))) ),
inference(instantiation,[status(thm)],[c_4209]) ).
tcf(c_5005,plain,
( sP0(sK16)
| ~ p1(sK14(sK16))
| ~ r1(sK13,sK16)
| ~ r1(sK13,sK13)
| ~ r1(sK15(sK16),sK17) ),
inference(resolution,[status(thm)],[c_4181,c_74]) ).
tcf(c_5006,plain,
sP0(sK16),
inference(global_subsumption_just,[status(thm)],[c_5005,c_77,c_3615,c_3818,c_3817,c_3830,c_3926,c_4610,c_4907]) ).
tcf(c_5054,plain,
! [X0: $i] :
( p1(sK16)
| r1(X0,sK6(X0))
| ~ p1(sK7(sK16))
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_5268,plain,
! [X0: $i] :
( ~ p1(sK14(sK17))
| ~ r1(sK13,sK16)
| ~ r1(sK17,X0)
| ~ r1(X0,sK20(sK17)) ),
inference(resolution,[status(thm)],[c_4103,c_78]) ).
tcf(c_5270,plain,
! [X0: $i] :
( ~ p1(sK14(sK17))
| ~ r1(X0,sK20(sK17))
| ~ r1(sK17,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5268,c_77,c_5268]) ).
tcf(c_5271,plain,
! [X0: $i] :
( ~ p1(sK14(sK17))
| ~ r1(sK17,X0)
| ~ r1(X0,sK20(sK17)) ),
inference(renaming,[status(thm)],[c_5270]) ).
tcf(c_5299,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| ~ p1(sK7(sK16))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_5054]) ).
tcf(c_5487,plain,
( p1(sK16)
| p1(sK20(sK7(sK16)))
| r1(sK18,sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK7(sK16),sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),sK20(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_4361]) ).
tcf(c_5589,plain,
( p1(sK17)
| ~ p1(sK14(sK17))
| ~ r1(sK16,sK17)
| ~ r1(sK17,sK19(sK17)) ),
inference(resolution,[status(thm)],[c_5271,c_83]) ).
tcf(c_5590,plain,
~ p1(sK14(sK17)),
inference(global_subsumption_just,[status(thm)],[c_5589,c_79,c_78,c_3622,c_5589]) ).
tcf(c_5608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p1(sK14(X2))
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| ~ r1(X0,sK14(sK17)) ),
inference(resolution,[status(thm)],[c_5590,c_73]) ).
tcf(c_5681,plain,
( p1(sK16)
| ~ p1(sK7(sK16))
| ~ p1(sK6(sK17))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_78,c_568]) ).
tcf(c_5682,plain,
( p1(sK16)
| ~ p1(sK7(sK16))
| ~ p1(sK6(sK18))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_80,c_568]) ).
tcf(c_5839,plain,
( p1(sK16)
| ~ p1(sK7(sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_5681,c_80,c_77,c_4751,c_5299,c_5682]) ).
tcf(c_5965,plain,
! [X0: $i] :
( p1(X0)
| r1(sK18,sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,sK4(sK18))
| ~ r1(sK4(sK18),X0) ),
inference(instantiation,[status(thm)],[c_3867]) ).
tcf(c_6039,plain,
( p1(sK16)
| r1(sK16,sK7(sK16))
| ~ p1(sK6(sK17))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_78,c_585]) ).
tcf(c_6040,plain,
( p1(sK16)
| r1(sK16,sK7(sK16))
| ~ p1(sK6(sK18))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_80,c_585]) ).
tcf(c_6382,plain,
( p1(sK16)
| r1(sK16,sK7(sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_6039,c_80,c_77,c_3845,c_4751,c_6040]) ).
tcf(c_6394,plain,
( p1(sK16)
| p1(sK7(sK16))
| ~ p1(sK20(sK7(sK16))) ),
inference(superposition,[status(thm)],[c_6382,c_84]) ).
tcf(c_6395,plain,
( p1(sK16)
| p1(sK7(sK16))
| p1(sK19(sK7(sK16))) ),
inference(superposition,[status(thm)],[c_6382,c_85]) ).
tcf(c_6442,plain,
( p1(sK16)
| ~ p1(sK20(sK7(sK16))) ),
inference(global_subsumption_just,[status(thm)],[c_6394,c_5839,c_6394]) ).
tcf(c_6634,plain,
( sP1(sK16)
| p1(sK17)
| r1(sK4(sK18),sK5(sK18))
| ~ p1(sK16)
| ~ r1(sK16,sK18)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_4458]) ).
tcf(c_6647,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK16))
| ~ sP1(sK16)
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK16),X0)
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_4597]) ).
tcf(c_7616,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| ~ p1(sK7(sK16))
| ~ r1(sK13,sK16) ),
inference(superposition,[status(thm)],[c_80,c_627]) ).
tcf(c_7669,plain,
( p1(sK16)
| r1(sK18,sK6(sK18)) ),
inference(global_subsumption_just,[status(thm)],[c_7616,c_80,c_77,c_3993,c_3992,c_5487,c_5839,c_6382,c_6395,c_6442]) ).
tcf(c_7680,plain,
( p1(sK16)
| p1(sK6(sK18)) ),
inference(superposition,[status(thm)],[c_7669,c_81]) ).
tcf(c_8222,plain,
( p1(sK5(sK18))
| r1(sK18,sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,sK4(sK18))
| ~ r1(sK4(sK18),sK5(sK18)) ),
inference(instantiation,[status(thm)],[c_5965]) ).
tcf(c_8603,plain,
! [X0: $i] :
( sP1(sK16)
| p1(X0)
| ~ p1(sK16)
| ~ p1(sK5(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_4255]) ).
tcf(c_8889,plain,
( p1(sK14(sK18))
| ~ r1(sK18,sK14(sK18)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| ~ p1(sK14(sK18))
| ~ r1(sK18,X0)
| ~ r1(sK13,X2)
| ~ r1(X2,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_9105,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p1(sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_9048]) ).
tcf(c_9306,plain,
! [X0: $i] :
( p1(X0)
| ~ p1(sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,sK4(sK18))
| ~ r1(sK4(sK18),X0) ),
inference(instantiation,[status(thm)],[c_9105]) ).
tcf(c_9385,plain,
( p1(sK5(sK18))
| ~ p1(sK14(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(sK18,sK4(sK18))
| ~ r1(sK4(sK18),sK5(sK18)) ),
inference(instantiation,[status(thm)],[c_9306]) ).
tcf(c_9401,plain,
( sP1(sK16)
| p1(sK17)
| ~ p1(sK16)
| ~ p1(sK5(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_8603]) ).
tcf(c_10114,plain,
! [X0: $i] :
( p1(sK16)
| p1(X0)
| ~ p1(sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),X0)
| ~ r1(sK7(sK16),sK19(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_4775]) ).
tcf(c_10296,plain,
! [X0: $i,X1: $i] :
( ~ p1(sK14(X1))
| ~ r1(sK16,X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK14(sK17)) ),
inference(resolution,[status(thm)],[c_5608,c_77]) ).
tcf(c_10686,plain,
( p1(sK16)
| p1(sK20(sK7(sK16)))
| ~ p1(sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ p1(sK19(sK7(sK16)))
| ~ r1(sK7(sK16),sK19(sK7(sK16)))
| ~ r1(sK19(sK7(sK16)),sK20(sK7(sK16))) ),
inference(instantiation,[status(thm)],[c_10114]) ).
tcf(c_11065,plain,
( p1(sK9(sK16))
| p1(sK12(sK9(sK16)))
| ~ sP1(sK16)
| ~ p1(sK11(sK9(sK16)))
| ~ r1(sK8(sK16),sK9(sK16))
| ~ r1(sK9(sK16),sK11(sK9(sK16)))
| ~ r1(sK11(sK9(sK16)),sK12(sK9(sK16))) ),
inference(instantiation,[status(thm)],[c_6647]) ).
fof(f6,definition,
! [X1] :
( ~ sP0(X1)
| ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X1,X21) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7,definition,
! [X1] :
( ~ sP1(X1)
| ? [X6] :
( ! [X8] :
( ( p1(X8)
& ? [X11] :
( ~ p1(X11)
& r1(X8,X11) ) )
| ! [X9] :
( ~ p1(X9)
| ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X6,X8) )
& p1(X6)
& ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
& r1(X1,X6) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f8,definition,
! [X1] :
( ~ sP2(X1)
| ? [X14] :
( ! [X15] :
( ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p1(X14)
& r1(X1,X14) )
| ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ r1(X1,X12) )
| p1(X1) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X1] :
( ~ sP3(X1)
| sP1(X1)
| ! [X3] :
( ? [X4] :
( p1(X4)
& ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
& r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ p1(X1)
| ! [X2] :
( p1(X2)
| ~ r1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f10,plain,
? [X0] :
( ? [X28] :
( ! [X32] :
( ? [X33] :
( p1(X33)
& ? [X34] :
( ~ p1(X34)
& r1(X33,X34) )
& r1(X32,X33) )
| p1(X32)
| ~ r1(X28,X32) )
& ? [X30] :
( ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
& r1(X28,X30) )
& ? [X29] :
( ~ p1(X29)
& r1(X28,X29) )
& r1(X0,X28) )
& ! [X1] :
( ( ( ? [X25] :
( ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
& ~ p1(X25)
& r1(X1,X25) )
| sP0(X1) )
& ! [X17] :
( ? [X20] :
( ~ p1(X20)
& r1(X17,X20) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X1,X17) )
& sP2(X1)
& sP3(X1) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f5,f9,f8,f7,f6]) ).
fof(f20,plain,
! [X1] :
( ~ sP0(X1)
| ! [X21] :
( ! [X22] :
( ? [X23] :
( p1(X23)
& ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
| p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X1,X21) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ( p1(sK11(X2))
& ~ p1(sK12(X2))
& r1(sK11(X2),sK12(X2))
& r1(X2,sK11(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f21]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p1(sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ p1(sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(sK11(X2),sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| ~ sP0(X0)
| ~ p1(sK12(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_4047,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK11(X1),sK12(X1))
| ~ sP0(sK16)
| ~ r1(sK16,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_4048,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(X1,sK11(X1))
| ~ sP0(sK16)
| ~ r1(sK16,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_4049,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK11(X1))
| ~ sP0(sK16)
| ~ r1(sK16,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_4050,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ sP0(sK16)
| ~ p1(sK12(X1))
| ~ r1(sK16,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_6362,plain,
! [X0: $i] :
( p1(X0)
| r1(sK11(X0),sK12(X0))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),X0) ),
inference(instantiation,[status(thm)],[c_4047]) ).
tcf(c_6363,plain,
! [X0: $i] :
( p1(X0)
| r1(X0,sK11(X0))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),X0) ),
inference(instantiation,[status(thm)],[c_4048]) ).
tcf(c_6364,plain,
! [X0: $i] :
( p1(X0)
| p1(sK11(X0))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),X0) ),
inference(instantiation,[status(thm)],[c_4049]) ).
tcf(c_7067,plain,
( p1(sK9(sK16))
| p1(sK11(sK9(sK16)))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_6364]) ).
tcf(c_7070,plain,
( p1(sK9(sK16))
| r1(sK9(sK16),sK11(sK9(sK16)))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_6363]) ).
tcf(c_7148,plain,
( p1(sK9(sK16))
| r1(sK11(sK9(sK16)),sK12(sK9(sK16)))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_6362]) ).
tcf(c_11075,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK16)
| ~ sP0(X1)
| ~ r1(X2,sK16)
| ~ r1(X1,X2)
| ~ p1(sK14(sK11(sK16)))
| ~ r1(X0,sK14(sK17))
| ~ r1(sK11(sK16),X0) ),
inference(resolution,[status(thm)],[c_10296,c_66]) ).
tcf(c_11077,plain,
p1(sK16),
inference(global_subsumption_just,[status(thm)],[c_11075,c_80,c_77,c_3993,c_3992,c_5839,c_6382,c_6395,c_6442,c_7680,c_10686]) ).
tcf(c_11300,plain,
! [X0: $i] :
( p1(sK9(sK16))
| ~ sP0(sK16)
| ~ r1(sK16,X0)
| ~ p1(sK12(sK9(sK16)))
| ~ r1(X0,sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_4050]) ).
tcf(c_11633,plain,
( p1(sK9(sK16))
| ~ sP0(sK16)
| ~ p1(sK12(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_11300]) ).
tcf(c_11644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11633,c_11077,c_11065,c_9401,c_9385,c_8889,c_8222,c_7148,c_7070,c_7067,c_6634,c_5006,c_4599,c_4600,c_4602,c_4505,c_77,c_78,c_79,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+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
% 0.11/5.38 % Computer : n006.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Wed Sep 23 23:52:01 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 0.95/6.21 % SZS status Started for theBenchmark.p
% 0.95/6.21 % SZS status Theorem for theBenchmark.p
% 0.95/6.21
% 0.95/6.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.95/6.21
% 0.95/6.21 % ------ iProver source info
% 0.95/6.21
% 0.95/6.21 % git: date: 2026-07-19 20:42:38 +0200
% 0.95/6.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.95/6.21 % git: non_committed_changes: false
% 0.95/6.21
% 0.95/6.21 % ------ Parsing...
% 0.95/6.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.95/6.21
% 0.95/6.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.95/6.21
% 0.95/6.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.95/6.21 % ------ Proving...
% 0.95/6.21 % ------ Problem Properties
% 0.95/6.21
% 0.95/6.21 %
% 0.95/6.21 % clauses 35
% 0.95/6.21 % conjectures 14
% 0.95/6.21 % EPR 5
% 0.95/6.21 % Horn 15
% 0.95/6.21 % unary 4
% 0.95/6.21 % binary 5
% 0.95/6.21 % lits 155
% 0.95/6.21 % lits eq 0
% 0.95/6.21 % fd_pure 0
% 0.95/6.21 % fd_pseudo 0
% 0.95/6.21 % fd_cond 0
% 0.95/6.21 % fd_pseudo_cond 0
% 0.95/6.21 % AC symbols 0
% 0.95/6.21
% 0.95/6.21 % ------ Input Options Time Limit: Unbounded
% 0.95/6.21
% 0.95/6.21
% 0.95/6.21 % ------
% 0.95/6.21 % Current options:
% 0.95/6.21 % ------
% 0.95/6.21
% 0.95/6.21
% 0.95/6.21 %
% 0.95/6.21
% 0.95/6.21 % ------ Proving...
% 0.95/6.21 %
% 0.95/6.21
% 0.95/6.21 % SZS status Theorem for theBenchmark.p
% 0.95/6.21
% 0.95/6.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.95/6.21
% 0.95/6.21
%------------------------------------------------------------------------------