%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:39:16 EDT 2024
% Result : Theorem 4.05s 1.11s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of formulae : 139 ( 9 unt; 0 def)
% Number of atoms : 2410 ( 0 equ)
% Maximal formula atoms : 226 ( 17 avg)
% Number of connectives : 3972 (1701 ~;1203 |;1058 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 9 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 510 ( 0 sgn 375 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p111(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p111(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
& ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
& ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
& ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
& ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
& ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
& ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
& ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
& ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
& ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
& ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
& ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
& ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X1] :
( ~ p108(X1)
| p109(X1)
| ( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
& ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) ) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X1] :
( ~ p107(X1)
| p108(X1)
| ( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
& ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) ) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X1] :
( ~ p106(X1)
| p107(X1)
| ( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
& ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) ) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
& ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) ) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
& ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) ) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) )
| ~ sP8(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X1] :
( ~ p109(X1)
| p110(X1)
| ( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
& ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) ) )
| ~ sP9(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X1] :
( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) )
| ~ sP10(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X1] :
( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f24,plain,
! [X1] :
( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) )
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
! [X1] :
( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) )
| ~ sP13(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X1] :
( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f27,plain,
! [X1] :
( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
! [X1] :
( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f29,plain,
! [X1] :
( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) )
| ~ sP17(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f30,plain,
! [X1] :
( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
! [X1] :
( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) )
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f32,plain,
! [X1] :
( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) )
| ~ sP20(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f33,plain,
! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& sP20(X1)
& sP19(X1)
& sP18(X1)
& sP17(X1)
& sP16(X1)
& sP15(X1)
& sP14(X1)
& sP13(X1)
& sP12(X1)
& sP11(X1)
& sP10(X1)
& sP8(X1)
& sP7(X1)
& sP6(X1)
& sP5(X1)
& sP4(X1)
& sP3(X1)
& sP2(X1)
& sP1(X1)
& sP0(X1)
& sP9(X1) )
| ~ sP21(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f34,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP21(X1)
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(definition_folding,[],[f11,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f35,plain,
! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& sP20(X1)
& sP19(X1)
& sP18(X1)
& sP17(X1)
& sP16(X1)
& sP15(X1)
& sP14(X1)
& sP13(X1)
& sP12(X1)
& sP11(X1)
& sP10(X1)
& sP8(X1)
& sP7(X1)
& sP6(X1)
& sP5(X1)
& sP4(X1)
& sP3(X1)
& sP2(X1)
& sP1(X1)
& sP0(X1)
& sP9(X1) )
| ~ sP21(X1) ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP9(X0) )
| ~ sP21(X0) ),
inference(rectify,[],[f35]) ).
fof(f64,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) )
| ~ sP8(X1) ),
inference(nnf_transformation,[],[f20]) ).
fof(f65,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK24(X0))
& ~ p102(sK24(X0))
& p2(sK24(X0))
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) )
=> ( p101(sK25(X0))
& ~ p102(sK25(X0))
& ~ p2(sK25(X0))
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK24(X0))
& ~ p102(sK24(X0))
& p2(sK24(X0))
& r1(X0,sK24(X0))
& p101(sK25(X0))
& ~ p102(sK25(X0))
& ~ p2(sK25(X0))
& r1(X0,sK25(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f65,f67,f66]) ).
fof(f69,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) )
| ~ sP7(X1) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK26(X0))
& ~ p103(sK26(X0))
& p3(sK26(X0))
& r1(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) )
=> ( p102(sK27(X0))
& ~ p103(sK27(X0))
& ~ p3(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK26(X0))
& ~ p103(sK26(X0))
& p3(sK26(X0))
& r1(X0,sK26(X0))
& p102(sK27(X0))
& ~ p103(sK27(X0))
& ~ p3(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f70,f72,f71]) ).
fof(f74,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) )
| ~ sP6(X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f75,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
& ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK28(X0))
& ~ p104(sK28(X0))
& p4(sK28(X0))
& r1(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) )
=> ( p103(sK29(X0))
& ~ p104(sK29(X0))
& ~ p4(sK29(X0))
& r1(X0,sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( p103(sK28(X0))
& ~ p104(sK28(X0))
& p4(sK28(X0))
& r1(X0,sK28(X0))
& p103(sK29(X0))
& ~ p104(sK29(X0))
& ~ p4(sK29(X0))
& r1(X0,sK29(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f75,f77,f76]) ).
fof(f79,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) )
| ~ sP5(X1) ),
inference(nnf_transformation,[],[f17]) ).
fof(f80,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
& ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK30(X0))
& ~ p105(sK30(X0))
& p5(sK30(X0))
& r1(X0,sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) )
=> ( p104(sK31(X0))
& ~ p105(sK31(X0))
& ~ p5(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( p104(sK30(X0))
& ~ p105(sK30(X0))
& p5(sK30(X0))
& r1(X0,sK30(X0))
& p104(sK31(X0))
& ~ p105(sK31(X0))
& ~ p5(sK31(X0))
& r1(X0,sK31(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f80,f82,f81]) ).
fof(f109,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP21(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(X0,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f110,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP21(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(X0,X2) ) )
=> ( p100(sK42)
& ~ p101(sK42)
& ! [X1] :
( sP21(X1)
| ~ r1(sK42,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(sK42,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( p100(sK42)
& ~ p101(sK42)
& ! [X1] :
( sP21(X1)
| ~ r1(sK42,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(sK42,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f109,f110]) ).
fof(f112,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
! [X0] :
( sP5(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f121,plain,
! [X0] :
( sP6(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f122,plain,
! [X0] :
( sP7(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f123,plain,
! [X0] :
( sP8(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f177,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK24(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f179,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK24(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f180,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK24(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f185,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| r1(X0,sK26(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f187,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ~ p103(sK26(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f188,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| p102(sK26(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f189,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| r1(X0,sK29(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f191,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ~ p104(sK29(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f192,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| p103(sK29(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f197,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| r1(X0,sK31(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f198,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ~ p5(sK31(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f245,plain,
! [X2] :
( p5(X2)
| ~ r1(sK42,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f246,plain,
! [X1] :
( sP21(X1)
| ~ r1(sK42,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f247,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f111]) ).
fof(f248,plain,
p100(sK42),
inference(cnf_transformation,[],[f111]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f112]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_72,plain,
( ~ sP21(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_73,plain,
( ~ sP21(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_74,plain,
( ~ sP21(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_75,plain,
( ~ sP21(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_110,plain,
( ~ p100(X0)
| ~ sP8(X0)
| p101(sK24(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_111,plain,
( ~ p102(sK24(X0))
| ~ p100(X0)
| ~ sP8(X0)
| p101(X0) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_113,plain,
( ~ p100(X0)
| ~ sP8(X0)
| r1(X0,sK24(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_118,plain,
( ~ p101(X0)
| ~ sP7(X0)
| p102(sK26(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_119,plain,
( ~ p103(sK26(X0))
| ~ p101(X0)
| ~ sP7(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_121,plain,
( ~ p101(X0)
| ~ sP7(X0)
| r1(X0,sK26(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_130,plain,
( ~ p102(X0)
| ~ sP6(X0)
| p103(sK29(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_131,plain,
( ~ p104(sK29(X0))
| ~ p102(X0)
| ~ sP6(X0)
| p103(X0) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_133,plain,
( ~ p102(X0)
| ~ sP6(X0)
| r1(X0,sK29(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_140,plain,
( ~ p5(sK31(X0))
| ~ p103(X0)
| ~ sP5(X0)
| p104(X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_141,plain,
( ~ p103(X0)
| ~ sP5(X0)
| r1(X0,sK31(X0))
| p104(X0) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_182,negated_conjecture,
p100(sK42),
inference(cnf_transformation,[],[f248]) ).
cnf(c_183,negated_conjecture,
~ p101(sK42),
inference(cnf_transformation,[],[f247]) ).
cnf(c_184,negated_conjecture,
( ~ r1(sK42,X0)
| sP21(X0) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_185,negated_conjecture,
( ~ r1(sK42,X0)
| p5(X0) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_186,plain,
r1(sK42,sK42),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_196,plain,
( ~ sP21(sK42)
| sP8(sK42) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_209,plain,
( ~ r1(sK42,sK42)
| sP21(sK42) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_242,plain,
( ~ p100(sK42)
| ~ sP8(sK42)
| p101(sK24(sK42))
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_284,plain,
( ~ p100(sK42)
| ~ sP8(sK42)
| r1(sK42,sK24(sK42))
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_285,plain,
( ~ p102(sK24(sK42))
| ~ p100(sK42)
| ~ sP8(sK42)
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_2145,plain,
( ~ p101(X0)
| ~ sP21(X0)
| r1(X0,sK26(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_73,c_121]) ).
cnf(c_2171,plain,
( ~ p103(sK26(X0))
| ~ p101(X0)
| ~ sP21(X0)
| p102(X0) ),
inference(resolution,[status(thm)],[c_73,c_119]) ).
cnf(c_2184,plain,
( ~ p101(X0)
| ~ sP21(X0)
| p102(sK26(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_73,c_118]) ).
cnf(c_2229,plain,
( ~ sP21(X0)
| ~ p102(X0)
| r1(X0,sK29(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_74,c_133]) ).
cnf(c_2257,plain,
( ~ p104(sK29(X0))
| ~ sP21(X0)
| ~ p102(X0)
| p103(X0) ),
inference(resolution,[status(thm)],[c_74,c_131]) ).
cnf(c_2271,plain,
( ~ sP21(X0)
| ~ p102(X0)
| p103(sK29(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_74,c_130]) ).
cnf(c_2373,plain,
( ~ sP21(X0)
| ~ p103(X0)
| r1(X0,sK31(X0))
| p104(X0) ),
inference(resolution,[status(thm)],[c_75,c_141]) ).
cnf(c_2387,plain,
( ~ p5(sK31(X0))
| ~ sP21(X0)
| ~ p103(X0)
| p104(X0) ),
inference(resolution,[status(thm)],[c_75,c_140]) ).
cnf(c_3945,plain,
( ~ r1(sK42,X0)
| ~ p5(sK31(X0))
| ~ p103(X0)
| p104(X0) ),
inference(resolution,[status(thm)],[c_184,c_2387]) ).
cnf(c_3959,plain,
( ~ r1(sK42,X0)
| ~ p103(X0)
| r1(X0,sK31(X0))
| p104(X0) ),
inference(resolution,[status(thm)],[c_184,c_2373]) ).
cnf(c_4029,plain,
( ~ r1(sK42,X0)
| ~ p102(X0)
| p103(sK29(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_184,c_2271]) ).
cnf(c_4043,plain,
( ~ r1(sK42,X0)
| ~ p104(sK29(X0))
| ~ p102(X0)
| p103(X0) ),
inference(resolution,[status(thm)],[c_184,c_2257]) ).
cnf(c_4071,plain,
( ~ r1(sK42,X0)
| ~ p102(X0)
| r1(X0,sK29(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_184,c_2229]) ).
cnf(c_4085,plain,
( ~ r1(sK42,X0)
| ~ p101(X0)
| p102(sK26(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_184,c_2184]) ).
cnf(c_4098,plain,
( ~ r1(sK42,X0)
| ~ p103(sK26(X0))
| ~ p101(X0)
| p102(X0) ),
inference(resolution,[status(thm)],[c_184,c_2171]) ).
cnf(c_4124,plain,
( ~ r1(sK42,X0)
| ~ p101(X0)
| r1(X0,sK26(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_184,c_2145]) ).
cnf(c_5155,plain,
( ~ r1(sK42,sK31(X0))
| ~ r1(sK42,X0)
| ~ p103(X0)
| p104(X0) ),
inference(resolution,[status(thm)],[c_185,c_3945]) ).
cnf(c_6062,plain,
( ~ r1(sK42,sK24(sK42))
| ~ p101(sK24(sK42))
| p102(sK26(sK24(sK42)))
| p102(sK24(sK42)) ),
inference(instantiation,[status(thm)],[c_4085]) ).
cnf(c_6068,plain,
( ~ r1(sK42,sK24(sK42))
| ~ p101(sK24(sK42))
| r1(sK24(sK42),sK26(sK24(sK42)))
| p102(sK24(sK42)) ),
inference(instantiation,[status(thm)],[c_4124]) ).
cnf(c_6087,plain,
( ~ r1(sK42,sK26(sK24(sK42)))
| ~ p102(sK26(sK24(sK42)))
| r1(sK26(sK24(sK42)),sK29(sK26(sK24(sK42))))
| p103(sK26(sK24(sK42))) ),
inference(instantiation,[status(thm)],[c_4071]) ).
cnf(c_6089,plain,
( ~ r1(sK42,sK26(sK24(sK42)))
| ~ p102(sK26(sK24(sK42)))
| p103(sK29(sK26(sK24(sK42))))
| p103(sK26(sK24(sK42))) ),
inference(instantiation,[status(thm)],[c_4029]) ).
cnf(c_6093,plain,
( ~ r1(sK42,sK26(sK24(sK42)))
| ~ p104(sK29(sK26(sK24(sK42))))
| ~ p102(sK26(sK24(sK42)))
| p103(sK26(sK24(sK42))) ),
inference(instantiation,[status(thm)],[c_4043]) ).
cnf(c_6129,plain,
( ~ r1(X0,sK26(sK24(sK42)))
| ~ r1(sK42,X0)
| r1(sK42,sK26(sK24(sK42))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6168,plain,
( ~ r1(sK24(sK42),sK26(sK24(sK42)))
| ~ r1(sK42,sK24(sK42))
| r1(sK42,sK26(sK24(sK42))) ),
inference(instantiation,[status(thm)],[c_6129]) ).
cnf(c_6348,plain,
( ~ r1(sK42,sK24(sK42))
| ~ p103(sK26(sK24(sK42)))
| ~ p101(sK24(sK42))
| p102(sK24(sK42)) ),
inference(instantiation,[status(thm)],[c_4098]) ).
cnf(c_6351,plain,
( ~ r1(sK42,sK29(sK26(sK24(sK42))))
| ~ p103(sK29(sK26(sK24(sK42))))
| r1(sK29(sK26(sK24(sK42))),sK31(sK29(sK26(sK24(sK42)))))
| p104(sK29(sK26(sK24(sK42)))) ),
inference(instantiation,[status(thm)],[c_3959]) ).
cnf(c_6355,plain,
( ~ r1(sK42,sK31(sK29(sK26(sK24(sK42)))))
| ~ r1(sK42,sK29(sK26(sK24(sK42))))
| ~ p103(sK29(sK26(sK24(sK42))))
| p104(sK29(sK26(sK24(sK42)))) ),
inference(instantiation,[status(thm)],[c_5155]) ).
cnf(c_6624,plain,
( ~ r1(X0,sK29(sK26(sK24(sK42))))
| ~ r1(sK42,X0)
| r1(sK42,sK29(sK26(sK24(sK42)))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_7247,plain,
( ~ r1(sK26(sK24(sK42)),sK29(sK26(sK24(sK42))))
| ~ r1(sK42,sK26(sK24(sK42)))
| r1(sK42,sK29(sK26(sK24(sK42)))) ),
inference(instantiation,[status(thm)],[c_6624]) ).
cnf(c_7456,plain,
( ~ r1(X0,sK31(sK29(sK26(sK24(sK42)))))
| ~ r1(sK42,X0)
| r1(sK42,sK31(sK29(sK26(sK24(sK42))))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_10439,plain,
( ~ r1(sK29(sK26(sK24(sK42))),sK31(sK29(sK26(sK24(sK42)))))
| ~ r1(sK42,sK29(sK26(sK24(sK42))))
| r1(sK42,sK31(sK29(sK26(sK24(sK42))))) ),
inference(instantiation,[status(thm)],[c_7456]) ).
cnf(c_10440,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10439,c_7247,c_6351,c_6355,c_6348,c_6168,c_6087,c_6089,c_6093,c_6068,c_6062,c_285,c_284,c_242,c_209,c_196,c_186,c_183,c_182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Thu May 2 19:43:46 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.05/1.11 % SZS status Started for theBenchmark.p
% 4.05/1.11 % SZS status Theorem for theBenchmark.p
% 4.05/1.11
% 4.05/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.05/1.11
% 4.05/1.11 ------ iProver source info
% 4.05/1.11
% 4.05/1.11 git: date: 2024-05-02 19:28:25 +0000
% 4.05/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.05/1.11 git: non_committed_changes: false
% 4.05/1.11
% 4.05/1.11 ------ Parsing...
% 4.05/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.05/1.11
% 4.05/1.11 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 4.05/1.11
% 4.05/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.05/1.11 ------ Proving...
% 4.05/1.11 ------ Problem Properties
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11 clauses 108
% 4.05/1.11 conjectures 1
% 4.05/1.11 EPR 30
% 4.05/1.11 Horn 64
% 4.05/1.11 unary 10
% 4.05/1.11 binary 0
% 4.05/1.11 lits 430
% 4.05/1.11 lits eq 0
% 4.05/1.11 fd_pure 0
% 4.05/1.11 fd_pseudo 0
% 4.05/1.11 fd_cond 0
% 4.05/1.11 fd_pseudo_cond 0
% 4.05/1.11 AC symbols 0
% 4.05/1.11
% 4.05/1.11 ------ Input Options Time Limit: Unbounded
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11 ------
% 4.05/1.11 Current options:
% 4.05/1.11 ------
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11 ------ Proving...
% 4.05/1.11
% 4.05/1.11
% 4.05/1.11 % SZS status Theorem for theBenchmark.p
% 4.05/1.11
% 4.05/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.05/1.11
% 4.05/1.12
%------------------------------------------------------------------------------