%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL658+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 02:07:41 PM UTC 2026
% Result : Theorem 16.93s 3.17s
% Output : CNFRefutation 16.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 170 ( 9 unt; 4 def)
% Number of atoms : 1300 ( 0 equ)
% Maximal formula atoms : 62 ( 7 avg)
% Number of connectives : 1952 ( 854 ~; 951 |; 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 : 518 ( 0 sgn 454 !; 64 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,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)],[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(rectify,[],[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(flattening,[],[f4]) ).
fof(f6,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,[],[f5]) ).
fof(f12,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,[],[f10]) ).
fof(f13,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,[],[f12]) ).
fof(f14,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))],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f16,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,[],[f15]) ).
fof(f17,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))],[f16]) ).
fof(f18,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,[],[f8]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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))],[f19]) ).
fof(f24,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,[],[f11]) ).
fof(f25,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))],[f24]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,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,[],[f14]) ).
fof(f30,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,[],[f14]) ).
fof(f31,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,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,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,[],[f17]) ).
fof(f35,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,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,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X13] :
( p1(sK19(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X13] :
( ~ p1(sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
! [X13] :
( r1(sK19(X13),sK20(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X13] :
( r1(X13,sK19(X13))
| p1(X13)
| ~ r1(sK16,X13) ),
inference(cnf_transformation,[],[f25]) ).
fof(f52,plain,
! [X12] :
( p1(X12)
| ~ r1(sK18,X12) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
r1(sK16,sK18),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
~ p1(sK17),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
r1(sK16,sK17),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
r1(sK13,sK16),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X1,X8,X7] :
( ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(sK15(X1),X7)
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X1] :
( ~ p1(sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X1] :
( r1(X1,sK15(X1))
| sP0(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,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,[],[f25]) ).
fof(f61,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,[],[f25]) ).
fof(f62,plain,
! [X1] :
( sP2(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f63,plain,
! [X1] :
( sP3(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_50,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,[],[f30]) ).
tcf(c_51,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,[],[f29]) ).
tcf(c_52,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,[],[f28]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_56,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,[],[f34]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_59,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,[],[f31]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_61,plain,
! [X0: $i] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_66,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,[],[f37]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] :
( sP2(X0)
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_73,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,[],[f61]) ).
tcf(c_74,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,[],[f60]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK15(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] :
( sP0(X0)
| ~ p1(sK15(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_77,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,[],[f57]) ).
tcf(c_78,negated_conjecture,
r1(sK13,sK16),
inference(cnf_transformation,[],[f56]) ).
tcf(c_79,negated_conjecture,
r1(sK16,sK17),
inference(cnf_transformation,[],[f55]) ).
tcf(c_80,negated_conjecture,
~ p1(sK17),
inference(cnf_transformation,[],[f54]) ).
tcf(c_81,negated_conjecture,
r1(sK16,sK18),
inference(cnf_transformation,[],[f53]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK18,X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK19(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK19(X0),sK20(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK20(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK19(X0))
| ~ r1(sK16,X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_453,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_71,c_52]) ).
tcf(c_475,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_71,c_51]) ).
tcf(c_497,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_71,c_50]) ).
tcf(c_547,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_72,c_59]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_72,c_58]) ).
tcf(c_589,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_72,c_57]) ).
tcf(c_606,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_72,c_56]) ).
tcf(c_631,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_72,c_55]) ).
tcf(c_648,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_72,c_54]) ).
tcf(c_3557,plain,
! [X0: $i,X1: $i] :
( p1(sK17)
| sP1(X0)
| ~ p1(X0)
| ~ p1(sK5(X1))
| ~ r1(sK13,X0)
| ~ r1(X0,sK17)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_3559,plain,
! [X0: $i,X1: $i] :
( p1(sK17)
| sP1(X0)
| r1(sK4(X1),sK5(X1))
| ~ p1(X0)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_475]) ).
tcf(c_3561,plain,
! [X0: $i,X1: $i] :
( p1(sK17)
| sP1(X0)
| r1(X1,sK4(X1))
| ~ p1(X0)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_3641,plain,
! [X0: $i] :
( sP1(sK16)
| p1(sK17)
| ~ p1(sK16)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16)
| ~ p1(sK5(X0))
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_3557]) ).
tcf(c_3644,plain,
! [X0: $i] :
( sP1(sK16)
| p1(sK17)
| r1(sK4(X0),sK5(X0))
| ~ p1(sK16)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_3559]) ).
tcf(c_3647,plain,
! [X0: $i] :
( sP1(sK16)
| p1(sK17)
| r1(X0,sK4(X0))
| ~ p1(sK16)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_3561]) ).
tcf(c_3886,plain,
( sP1(sK16)
| p1(sK17)
| ~ p1(sK16)
| ~ p1(sK5(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK16,sK17)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_3641]) ).
tcf(c_3892,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_3644]) ).
tcf(c_3898,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_3647]) ).
tcf(c_3947,plain,
( r1(sK16,sK8(sK16))
| ~ sP1(sK16) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_4106,plain,
( p1(sK14(sK18))
| ~ r1(sK18,sK14(sK18)) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_4107,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| r1(sK18,sK14(sK18))
| ~ r1(sK18,X0)
| ~ r1(sK13,X2)
| ~ r1(X2,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_4152,plain,
! [X0: $i] :
( p1(X0)
| r1(sK18,sK6(sK18))
| r1(X0,sK7(X0))
| ~ r1(sK13,X0)
| ~ r1(X0,sK18) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_4153,plain,
( p1(sK6(sK18))
| ~ r1(sK18,sK6(sK18)) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_4248,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_4107]) ).
tcf(c_4309,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| r1(sK16,sK7(sK16))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_4152]) ).
tcf(c_4539,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_4248]) ).
tcf(c_4643,plain,
( p1(sK7(sK16))
| p1(sK19(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4644,plain,
( p1(sK7(sK16))
| r1(sK19(sK7(sK16)),sK20(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_4645,plain,
( p1(sK7(sK16))
| r1(sK7(sK16),sK19(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5074,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_4539]) ).
tcf(c_5105,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_74]) ).
tcf(c_5924,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_5105]) ).
tcf(c_6158,plain,
( r1(sK8(sK16),sK9(sK16))
| ~ sP1(sK16) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_7043,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_5924]) ).
tcf(c_8319,plain,
( sP0(sK16)
| ~ p1(sK15(sK16))
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_8320,plain,
( sP0(sK16)
| r1(sK16,sK15(sK16))
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_8362,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_7043]) ).
tcf(c_8894,plain,
( ~ sP1(sK16)
| ~ p1(sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_9174,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| r1(sK18,sK6(sK18))
| ~ p1(X1)
| ~ r1(sK13,X0)
| ~ r1(X0,sK18)
| ~ r1(X1,X2)
| ~ r1(sK7(X0),X1) ),
inference(instantiation,[status(thm)],[c_606]) ).
tcf(c_9210,plain,
! [X0: $i,X1: $i] :
( p1(sK16)
| p1(X1)
| r1(sK18,sK6(sK18))
| ~ p1(X0)
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(X0,X1)
| ~ r1(sK7(sK16),X0) ),
inference(instantiation,[status(thm)],[c_9174]) ).
tcf(c_9221,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_66]) ).
tcf(c_9276,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_9221]) ).
tcf(c_9717,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK16))
| ~ sP1(sK16)
| ~ p1(sK11(sK9(sK16)))
| ~ r1(sK8(sK16),sK9(sK16))
| ~ r1(sK11(sK9(sK16)),X0)
| ~ r1(sK9(sK16),sK11(sK9(sK16))) ),
inference(instantiation,[status(thm)],[c_9276]) ).
tcf(c_9795,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_9717]) ).
tcf(c_9807,plain,
! [X0: $i,X1: $i] :
( sP0(sK16)
| p1(X1)
| ~ p1(X0)
| ~ r1(sK13,sK16)
| ~ r1(X0,X1)
| ~ r1(sK15(sK16),X0) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_9888,plain,
( p1(sK15(sK16))
| p1(sK19(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_9889,plain,
( p1(sK15(sK16))
| r1(sK19(sK15(sK16)),sK20(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_9890,plain,
( p1(sK15(sK16))
| r1(sK15(sK16),sK19(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_9958,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_9807]) ).
tcf(c_10035,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_9958]) ).
tcf(c_10133,plain,
( p1(sK15(sK16))
| ~ p1(sK20(sK15(sK16)))
| ~ r1(sK16,sK15(sK16)) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_10314,plain,
! [X0: $i] :
( p1(sK16)
| r1(X0,sK6(X0))
| ~ p1(sK7(sK16))
| ~ r1(sK13,sK16)
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_10315,plain,
! [X0: $i] :
( p1(sK16)
| ~ p1(sK7(sK16))
| ~ r1(sK13,sK16)
| ~ p1(sK6(X0))
| ~ r1(sK16,X0) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_10401,plain,
( p1(sK16)
| r1(sK18,sK6(sK18))
| ~ p1(sK7(sK16))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_10314]) ).
tcf(c_10469,plain,
! [X0: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(sK18))
| ~ r1(sK13,X0)
| ~ r1(X0,sK18) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_10471,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| ~ p1(X1)
| ~ p1(sK6(sK18))
| ~ r1(sK13,X0)
| ~ r1(X0,sK18)
| ~ r1(X1,X2)
| ~ r1(sK7(X0),X1) ),
inference(instantiation,[status(thm)],[c_547]) ).
tcf(c_10472,plain,
( p1(sK16)
| ~ p1(sK7(sK16))
| ~ p1(sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_10315]) ).
tcf(c_10551,plain,
( p1(sK16)
| r1(sK16,sK7(sK16))
| ~ p1(sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16) ),
inference(instantiation,[status(thm)],[c_10469]) ).
tcf(c_10555,plain,
! [X0: $i,X1: $i] :
( p1(sK16)
| p1(X1)
| ~ p1(X0)
| ~ p1(sK6(sK18))
| ~ r1(sK16,sK18)
| ~ r1(sK13,sK16)
| ~ r1(X0,X1)
| ~ r1(sK7(sK16),X0) ),
inference(instantiation,[status(thm)],[c_10471]) ).
tcf(c_10660,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_9210]) ).
tcf(c_10696,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_10555]) ).
tcf(c_10792,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_10660]) ).
tcf(c_10823,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_10696]) ).
tcf(c_10908,plain,
( p1(sK7(sK16))
| ~ p1(sK20(sK7(sK16)))
| ~ r1(sK16,sK7(sK16)) ),
inference(instantiation,[status(thm)],[c_85]) ).
fof(f7,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(f8,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(f9,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(f10,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(f11,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,[],[f6,f10,f9,f8,f7]) ).
fof(f21,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,[],[f7]) ).
fof(f22,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,[],[f21]) ).
fof(f23,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))],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p1(sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ p1(sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(sK11(X2),sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_68,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,[],[f46]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| ~ sP0(X0)
| ~ p1(sK12(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_4030,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK9(X1))
| r1(sK9(X1),sK11(sK9(X1)))
| ~ sP0(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK9(X1)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_4031,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK9(X1))
| r1(sK11(sK9(X1)),sK12(sK9(X1)))
| ~ sP0(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK9(X1)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_4033,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK9(X1))
| p1(sK11(sK9(X1)))
| ~ sP0(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK9(X1)) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_4079,plain,
! [X0: $i,X1: $i] :
( p1(sK9(X0))
| r1(sK9(X0),sK11(sK9(X0)))
| ~ sP0(X1)
| ~ r1(X1,sK8(X0))
| ~ r1(sK8(X0),sK9(X0)) ),
inference(instantiation,[status(thm)],[c_4030]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i] :
( p1(sK9(X0))
| r1(sK11(sK9(X0)),sK12(sK9(X0)))
| ~ sP0(X1)
| ~ r1(X1,sK8(X0))
| ~ r1(sK8(X0),sK9(X0)) ),
inference(instantiation,[status(thm)],[c_4031]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i] :
( p1(sK9(X0))
| p1(sK11(sK9(X0)))
| ~ sP0(X1)
| ~ r1(X1,sK8(X0))
| ~ r1(sK8(X0),sK9(X0)) ),
inference(instantiation,[status(thm)],[c_4033]) ).
tcf(c_7631,plain,
! [X0: $i] :
( p1(sK9(sK16))
| p1(sK11(sK9(sK16)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_4091]) ).
tcf(c_7632,plain,
! [X0: $i] :
( p1(sK9(sK16))
| r1(sK11(sK9(sK16)),sK12(sK9(sK16)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_4083]) ).
tcf(c_7633,plain,
! [X0: $i] :
( p1(sK9(sK16))
| r1(sK9(sK16),sK11(sK9(sK16)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_4079]) ).
tcf(c_8811,plain,
( p1(sK9(sK16))
| p1(sK11(sK9(sK16)))
| ~ sP0(sK16)
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_7631]) ).
tcf(c_8819,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_7632]) ).
tcf(c_8827,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_7633]) ).
tcf(c_9608,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK16))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ p1(sK12(sK9(sK16)))
| ~ r1(X0,sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_9703,plain,
! [X0: $i] :
( p1(sK9(sK16))
| ~ sP0(X0)
| ~ p1(sK12(sK9(sK16)))
| ~ r1(X0,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_9608]) ).
tcf(c_9770,plain,
( p1(sK9(sK16))
| ~ sP0(sK16)
| ~ p1(sK12(sK9(sK16)))
| ~ r1(sK16,sK8(sK16))
| ~ r1(sK8(sK16),sK9(sK16)) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10909,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10908,c_10823,c_10792,c_10551,c_10472,c_10401,c_10133,c_10035,c_9888,c_9889,c_9890,c_9795,c_9770,c_8894,c_8827,c_8819,c_8811,c_8362,c_8319,c_8320,c_6158,c_5074,c_4643,c_4644,c_4645,c_4309,c_4153,c_4106,c_3947,c_3898,c_3892,c_3886,c_78,c_79,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:03:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 16.93/3.17 % SZS status Started for theBenchmark.p
% 16.93/3.17 % SZS status Theorem for theBenchmark.p
% 16.93/3.17
% 16.93/3.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.93/3.17
% 16.93/3.17 % ------ iProver source info
% 16.93/3.17
% 16.93/3.17 % git: date: 2026-07-19 20:42:38 +0200
% 16.93/3.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.93/3.17 % git: non_committed_changes: false
% 16.93/3.17
% 16.93/3.17 % ------ Parsing...
% 16.93/3.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.93/3.17
% 16.93/3.17 % ------ 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 %
% 16.93/3.17
% 16.93/3.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.93/3.17 % ------ Proving...
% 16.93/3.17 % ------ Problem Properties
% 16.93/3.17
% 16.93/3.17 %
% 16.93/3.17 % clauses 36
% 16.93/3.17 % conjectures 14
% 16.93/3.17 % EPR 6
% 16.93/3.17 % Horn 16
% 16.93/3.17 % unary 5
% 16.93/3.17 % binary 5
% 16.93/3.17 % lits 156
% 16.93/3.17 % lits eq 0
% 16.93/3.17 % fd_pure 0
% 16.93/3.17 % fd_pseudo 0
% 16.93/3.17 % fd_cond 0
% 16.93/3.17 % fd_pseudo_cond 0
% 16.93/3.17 % AC symbols 0
% 16.93/3.17
% 16.93/3.17 % ------ Input Options Time Limit: Unbounded
% 16.93/3.17
% 16.93/3.17
% 16.93/3.17 % ------
% 16.93/3.17 % Current options:
% 16.93/3.17 % ------
% 16.93/3.17
% 16.93/3.17
% 16.93/3.17 %
% 16.93/3.17
% 16.93/3.17 % ------ Proving...
% 16.93/3.17 %
% 16.93/3.17
% 16.93/3.17 % SZS status Theorem for theBenchmark.p
% 16.93/3.17
% 16.93/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.93/3.17
% 16.93/3.17
%------------------------------------------------------------------------------