%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Thu Sep 24 08:49:53 AM UTC 2026
% Result : Theorem 2.95s 3.29s
% Output : Proof 3.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X),
file('theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(Y,Z)
& r1(X,Y) )
=> r1(X,Z) ),
file('theBenchmark.p',transitivity) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p15(Y)
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(f_1_1,plain,
! [X] : r1(X,X),
inference(fof_nnf,[status(thm)],[reflexivity]) ).
fof(f_1_2,plain,
! [U_0] : r1(U_0,U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
r1(U_0,U_0),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ r1(Y,Z)
| ~ r1(X,Y) ),
inference(fof_nnf,[status(thm)],[transitivity]) ).
fof(f_2_2,plain,
! [U_3,U_2,U_1] :
( r1(U_3,U_1)
| ~ r1(U_2,U_1)
| ~ r1(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( r1(U_3,U_1)
| ~ r1(U_2,U_1)
| ~ r1(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p15(Y)
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_3_2,negated_conjecture,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(Y)
| ~ p2(Y) )
& ( p2(Y)
| p1(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( p3(Y)
| p2(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( p4(Y)
| p3(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( p5(Y)
| p4(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( p6(Y)
| p5(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( p7(Y)
| p6(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( p8(Y)
| p7(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p9(Y)
| p8(Y) )
& ( ~ p9(Y)
| ~ p10(Y) )
& ( p10(Y)
| p9(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( p11(Y)
| p10(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( p12(Y)
| p11(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( p13(Y)
| p12(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( p14(Y)
| p13(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ $false
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
& p15(Y)
& r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
? [U_36] :
( ? [U_35] :
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] :
( ~ $false
& r1(U_8,U_6) )
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(U_35,U_34) )
& r1(U_36,U_35) )
& ? [U_5] :
( ? [U_4] :
( p1(U_4)
& r1(U_5,U_4) )
& p15(U_5)
& r1(U_36,U_5) ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
? [U_36] :
( ? [U_35] :
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(U_35,U_34) )
& r1(U_36,U_35) )
& ? [U_5] :
( ? [U_4] :
( p1(U_4)
& r1(U_5,U_4) )
& p15(U_5)
& r1(U_36,U_5) ) ),
inference(miniscope,[status(thm)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
( ? [U_35] :
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(U_35,U_34) )
& r1(sK1,U_35) )
& ? [U_5] :
( ? [U_4] :
( p1(U_4)
& r1(U_5,U_4) )
& p15(U_5)
& r1(sK1,U_5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_36,sK1)],[f_3_4]) ).
fof(f_3_6,negated_conjecture,
( ? [U_35] :
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(U_35,U_34) )
& r1(sK1,U_35) )
& ? [U_4] :
( p1(U_4)
& r1(sK2,U_4) )
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2)],[f_3_5]) ).
fof(f_3_7,negated_conjecture,
( ? [U_35] :
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(U_35,U_34) )
& r1(sK1,U_35) )
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_4,sK3)],[f_3_6]) ).
fof(f_3_8,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ? [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(U_30,U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(U_30,U_28) )
& r1(U_34,U_30) ) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_35,sK4)],[f_3_7]) ).
fof(f_3_9,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ? [U_28] :
( ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(U_28,U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(U_28,U_26) )
& r1(sK5(U_34),U_28) )
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_30,sK5(U_34))],[f_3_8]) ).
fof(f_3_10,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ? [U_26] :
( ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(U_26,U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(U_26,U_24) )
& r1(sK6(U_34),U_26) )
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_28,sK6(U_34))],[f_3_9]) ).
fof(f_3_11,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ? [U_24] :
( ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(U_24,U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(U_24,U_22) )
& r1(sK7(U_34),U_24) )
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_26,sK7(U_34))],[f_3_10]) ).
fof(f_3_12,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ? [U_22] :
( ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(U_22,U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(U_22,U_20) )
& r1(sK8(U_34),U_22) )
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_24,sK8(U_34))],[f_3_11]) ).
fof(f_3_13,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ? [U_20] :
( ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(U_20,U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(U_20,U_18) )
& r1(sK9(U_34),U_20) )
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_22,sK9(U_34))],[f_3_12]) ).
fof(f_3_14,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ? [U_18] :
( ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(U_18,U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(U_18,U_16) )
& r1(sK10(U_34),U_18) )
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_20,sK10(U_34))],[f_3_13]) ).
fof(f_3_15,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ? [U_16] :
( ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(U_16,U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(U_16,U_14) )
& r1(sK11(U_34),U_16) )
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_18,sK11(U_34))],[f_3_14]) ).
fof(f_3_16,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ? [U_14] :
( ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(U_14,U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(U_14,U_12) )
& r1(sK12(U_34),U_14) )
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_16,sK12(U_34))],[f_3_15]) ).
fof(f_3_17,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ? [U_12] :
( ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(U_12,U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(U_12,U_10) )
& r1(sK13(U_34),U_12) )
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_14,sK13(U_34))],[f_3_16]) ).
fof(f_3_18,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ? [U_10] :
( ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(U_10,U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(U_10,U_8) )
& r1(sK14(U_34),U_10) )
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_12,sK14(U_34))],[f_3_17]) ).
fof(f_3_19,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(sK15(U_34),U_9) )
& ? [U_8] :
( ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(U_8,U_7) )
& ? [U_6] : r1(U_8,U_6)
& ~ $false
& r1(sK15(U_34),U_8) )
& r1(sK14(U_34),sK15(U_34))
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_10,sK15(U_34))],[f_3_18]) ).
fof(f_3_20,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(sK15(U_34),U_9) )
& ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(sK16(U_34),U_7) )
& ? [U_6] : r1(sK16(U_34),U_6)
& ~ $false
& r1(sK15(U_34),sK16(U_34))
& r1(sK14(U_34),sK15(U_34))
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_8,sK16(U_34))],[f_3_19]) ).
fof(f_3_21,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ? [U_32] :
( ~ p15(U_32)
& r1(U_34,U_32) )
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(sK15(U_34),U_9) )
& ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(sK16(U_34),U_7) )
& r1(sK16(U_34),sK17(U_34))
& ~ $false
& r1(sK15(U_34),sK16(U_34))
& r1(sK14(U_34),sK15(U_34))
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_6,sK17(U_34))],[f_3_20]) ).
fof(f_3_22,negated_conjecture,
( ! [U_34] :
( ( ? [U_33] :
( ( ~ p1(U_33)
| ~ p2(U_33) )
& ( p2(U_33)
| p1(U_33) )
& ( ~ p2(U_33)
| ~ p3(U_33) )
& ( p3(U_33)
| p2(U_33) )
& ( ~ p3(U_33)
| ~ p4(U_33) )
& ( p4(U_33)
| p3(U_33) )
& ( ~ p4(U_33)
| ~ p5(U_33) )
& ( p5(U_33)
| p4(U_33) )
& ( ~ p5(U_33)
| ~ p6(U_33) )
& ( p6(U_33)
| p5(U_33) )
& ( ~ p6(U_33)
| ~ p7(U_33) )
& ( p7(U_33)
| p6(U_33) )
& ( ~ p7(U_33)
| ~ p8(U_33) )
& ( p8(U_33)
| p7(U_33) )
& ( ~ p8(U_33)
| ~ p9(U_33) )
& ( p9(U_33)
| p8(U_33) )
& ( ~ p9(U_33)
| ~ p10(U_33) )
& ( p10(U_33)
| p9(U_33) )
& ( ~ p10(U_33)
| ~ p11(U_33) )
& ( p11(U_33)
| p10(U_33) )
& ( ~ p11(U_33)
| ~ p12(U_33) )
& ( p12(U_33)
| p11(U_33) )
& ( ~ p12(U_33)
| ~ p13(U_33) )
& ( p13(U_33)
| p12(U_33) )
& ( ~ p13(U_33)
| ~ p14(U_33) )
& ( p14(U_33)
| p13(U_33) )
& r1(U_34,U_33) )
& ~ p15(sK18(U_34))
& r1(U_34,sK18(U_34))
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(sK15(U_34),U_9) )
& ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(sK16(U_34),U_7) )
& r1(sK16(U_34),sK17(U_34))
& ~ $false
& r1(sK15(U_34),sK16(U_34))
& r1(sK14(U_34),sK15(U_34))
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_32,sK18(U_34))],[f_3_21]) ).
fof(f_3_23,negated_conjecture,
( ! [U_34] :
( ( ( ~ p1(sK19(U_34))
| ~ p2(sK19(U_34)) )
& ( p2(sK19(U_34))
| p1(sK19(U_34)) )
& ( ~ p2(sK19(U_34))
| ~ p3(sK19(U_34)) )
& ( p3(sK19(U_34))
| p2(sK19(U_34)) )
& ( ~ p3(sK19(U_34))
| ~ p4(sK19(U_34)) )
& ( p4(sK19(U_34))
| p3(sK19(U_34)) )
& ( ~ p4(sK19(U_34))
| ~ p5(sK19(U_34)) )
& ( p5(sK19(U_34))
| p4(sK19(U_34)) )
& ( ~ p5(sK19(U_34))
| ~ p6(sK19(U_34)) )
& ( p6(sK19(U_34))
| p5(sK19(U_34)) )
& ( ~ p6(sK19(U_34))
| ~ p7(sK19(U_34)) )
& ( p7(sK19(U_34))
| p6(sK19(U_34)) )
& ( ~ p7(sK19(U_34))
| ~ p8(sK19(U_34)) )
& ( p8(sK19(U_34))
| p7(sK19(U_34)) )
& ( ~ p8(sK19(U_34))
| ~ p9(sK19(U_34)) )
& ( p9(sK19(U_34))
| p8(sK19(U_34)) )
& ( ~ p9(sK19(U_34))
| ~ p10(sK19(U_34)) )
& ( p10(sK19(U_34))
| p9(sK19(U_34)) )
& ( ~ p10(sK19(U_34))
| ~ p11(sK19(U_34)) )
& ( p11(sK19(U_34))
| p10(sK19(U_34)) )
& ( ~ p11(sK19(U_34))
| ~ p12(sK19(U_34)) )
& ( p12(sK19(U_34))
| p11(sK19(U_34)) )
& ( ~ p12(sK19(U_34))
| ~ p13(sK19(U_34)) )
& ( p13(sK19(U_34))
| p12(sK19(U_34)) )
& ( ~ p13(sK19(U_34))
| ~ p14(sK19(U_34)) )
& ( p14(sK19(U_34))
| p13(sK19(U_34)) )
& r1(U_34,sK19(U_34))
& ~ p15(sK18(U_34))
& r1(U_34,sK18(U_34))
& ! [U_31] :
( ( ( ~ p1(U_31)
| p2(U_31) )
& ( p1(U_31)
| ~ p2(U_31) ) )
| ~ r1(U_34,U_31) )
& ! [U_29] :
( ( ( ~ p2(U_29)
| p3(U_29) )
& ( p2(U_29)
| ~ p3(U_29) ) )
| ~ r1(sK5(U_34),U_29) )
& ! [U_27] :
( ( ( ~ p3(U_27)
| p4(U_27) )
& ( p3(U_27)
| ~ p4(U_27) ) )
| ~ r1(sK6(U_34),U_27) )
& ! [U_25] :
( ( ( ~ p4(U_25)
| p5(U_25) )
& ( p4(U_25)
| ~ p5(U_25) ) )
| ~ r1(sK7(U_34),U_25) )
& ! [U_23] :
( ( ( ~ p5(U_23)
| p6(U_23) )
& ( p5(U_23)
| ~ p6(U_23) ) )
| ~ r1(sK8(U_34),U_23) )
& ! [U_21] :
( ( ( ~ p6(U_21)
| p7(U_21) )
& ( p6(U_21)
| ~ p7(U_21) ) )
| ~ r1(sK9(U_34),U_21) )
& ! [U_19] :
( ( ( ~ p7(U_19)
| p8(U_19) )
& ( p7(U_19)
| ~ p8(U_19) ) )
| ~ r1(sK10(U_34),U_19) )
& ! [U_17] :
( ( ( ~ p8(U_17)
| p9(U_17) )
& ( p8(U_17)
| ~ p9(U_17) ) )
| ~ r1(sK11(U_34),U_17) )
& ! [U_15] :
( ( ( ~ p9(U_15)
| p10(U_15) )
& ( p9(U_15)
| ~ p10(U_15) ) )
| ~ r1(sK12(U_34),U_15) )
& ! [U_13] :
( ( ( ~ p10(U_13)
| p11(U_13) )
& ( p10(U_13)
| ~ p11(U_13) ) )
| ~ r1(sK13(U_34),U_13) )
& ! [U_11] :
( ( ( ~ p11(U_11)
| p12(U_11) )
& ( p11(U_11)
| ~ p12(U_11) ) )
| ~ r1(sK14(U_34),U_11) )
& ! [U_9] :
( ( ( ~ p12(U_9)
| p13(U_9) )
& ( p12(U_9)
| ~ p13(U_9) ) )
| ~ r1(sK15(U_34),U_9) )
& ! [U_7] :
( ( ( ~ p13(U_7)
| p14(U_7) )
& ( p13(U_7)
| ~ p14(U_7) ) )
| ~ r1(sK16(U_34),U_7) )
& r1(sK16(U_34),sK17(U_34))
& ~ $false
& r1(sK15(U_34),sK16(U_34))
& r1(sK14(U_34),sK15(U_34))
& r1(sK13(U_34),sK14(U_34))
& r1(sK12(U_34),sK13(U_34))
& r1(sK11(U_34),sK12(U_34))
& r1(sK10(U_34),sK11(U_34))
& r1(sK9(U_34),sK10(U_34))
& r1(sK8(U_34),sK9(U_34))
& r1(sK7(U_34),sK8(U_34))
& r1(sK6(U_34),sK7(U_34))
& r1(sK5(U_34),sK6(U_34))
& r1(U_34,sK5(U_34)) )
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_33,sK19(U_34))],[f_3_22]) ).
fof(f_3_24,negated_conjecture,
( ! [U_31] :
( ~ p1(U_31)
| p2(U_31)
| ~ sP12(U_31) )
& ! [U_31] :
( p1(U_31)
| ~ p2(U_31)
| ~ sP12(U_31) )
& ! [U_29] :
( ~ p2(U_29)
| p3(U_29)
| ~ sP11(U_29) )
& ! [U_29] :
( p2(U_29)
| ~ p3(U_29)
| ~ sP11(U_29) )
& ! [U_27] :
( ~ p3(U_27)
| p4(U_27)
| ~ sP10(U_27) )
& ! [U_27] :
( p3(U_27)
| ~ p4(U_27)
| ~ sP10(U_27) )
& ! [U_25] :
( ~ p4(U_25)
| p5(U_25)
| ~ sP9(U_25) )
& ! [U_25] :
( p4(U_25)
| ~ p5(U_25)
| ~ sP9(U_25) )
& ! [U_23] :
( ~ p5(U_23)
| p6(U_23)
| ~ sP8(U_23) )
& ! [U_23] :
( p5(U_23)
| ~ p6(U_23)
| ~ sP8(U_23) )
& ! [U_21] :
( ~ p6(U_21)
| p7(U_21)
| ~ sP7(U_21) )
& ! [U_21] :
( p6(U_21)
| ~ p7(U_21)
| ~ sP7(U_21) )
& ! [U_19] :
( ~ p7(U_19)
| p8(U_19)
| ~ sP6(U_19) )
& ! [U_19] :
( p7(U_19)
| ~ p8(U_19)
| ~ sP6(U_19) )
& ! [U_17] :
( ~ p8(U_17)
| p9(U_17)
| ~ sP5(U_17) )
& ! [U_17] :
( p8(U_17)
| ~ p9(U_17)
| ~ sP5(U_17) )
& ! [U_15] :
( ~ p9(U_15)
| p10(U_15)
| ~ sP4(U_15) )
& ! [U_15] :
( p9(U_15)
| ~ p10(U_15)
| ~ sP4(U_15) )
& ! [U_13] :
( ~ p10(U_13)
| p11(U_13)
| ~ sP3(U_13) )
& ! [U_13] :
( p10(U_13)
| ~ p11(U_13)
| ~ sP3(U_13) )
& ! [U_11] :
( ~ p11(U_11)
| p12(U_11)
| ~ sP2(U_11) )
& ! [U_11] :
( p11(U_11)
| ~ p12(U_11)
| ~ sP2(U_11) )
& ! [U_9] :
( ~ p12(U_9)
| p13(U_9)
| ~ sP1(U_9) )
& ! [U_9] :
( p12(U_9)
| ~ p13(U_9)
| ~ sP1(U_9) )
& ! [U_7] :
( ~ p13(U_7)
| p14(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( p13(U_7)
| ~ p14(U_7)
| ~ sP0(U_7) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p1(sK19(U_34))
| ~ p2(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p2(sK19(U_34))
| p1(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p2(sK19(U_34))
| ~ p3(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p3(sK19(U_34))
| p2(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p3(sK19(U_34))
| ~ p4(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p4(sK19(U_34))
| p3(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p4(sK19(U_34))
| ~ p5(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p5(sK19(U_34))
| p4(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p5(sK19(U_34))
| ~ p6(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p6(sK19(U_34))
| p5(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p6(sK19(U_34))
| ~ p7(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p7(sK19(U_34))
| p6(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p7(sK19(U_34))
| ~ p8(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p8(sK19(U_34))
| p7(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p8(sK19(U_34))
| ~ p9(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p9(sK19(U_34))
| p8(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p9(sK19(U_34))
| ~ p10(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p10(sK19(U_34))
| p9(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p10(sK19(U_34))
| ~ p11(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p11(sK19(U_34))
| p10(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p11(sK19(U_34))
| ~ p12(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p12(sK19(U_34))
| p11(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p12(sK19(U_34))
| ~ p13(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p13(sK19(U_34))
| p12(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p13(sK19(U_34))
| ~ p14(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( p14(sK19(U_34))
| p13(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(U_34,sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ p15(sK18(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(U_34,sK18(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP12(U_31)
| ~ r1(U_34,U_31)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP11(U_29)
| ~ r1(sK5(U_34),U_29)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP10(U_27)
| ~ r1(sK6(U_34),U_27)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP9(U_25)
| ~ r1(sK7(U_34),U_25)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP8(U_23)
| ~ r1(sK8(U_34),U_23)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP7(U_21)
| ~ r1(sK9(U_34),U_21)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP6(U_19)
| ~ r1(sK10(U_34),U_19)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP5(U_17)
| ~ r1(sK11(U_34),U_17)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP4(U_15)
| ~ r1(sK12(U_34),U_15)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP3(U_13)
| ~ r1(sK13(U_34),U_13)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP2(U_11)
| ~ r1(sK14(U_34),U_11)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP1(U_9)
| ~ r1(sK15(U_34),U_9)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP0(U_7)
| ~ r1(sK16(U_34),U_7)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK16(U_34),sK17(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( ~ $false
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK15(U_34),sK16(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK14(U_34),sK15(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK13(U_34),sK14(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK12(U_34),sK13(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK11(U_34),sK12(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK10(U_34),sK11(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK9(U_34),sK10(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK8(U_34),sK9(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK7(U_34),sK8(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK6(U_34),sK7(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(sK5(U_34),sK6(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( r1(U_34,sK5(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) )
& ! [U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15] :
( sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15)
| ~ r1(sK4,U_34) )
& r1(sK1,sK4)
& p1(sK3)
& r1(sK2,sK3)
& p15(sK2)
& r1(sK1,sK2) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5,sP6,sP7,sP8,sP9,sP10,sP11,sP12,sP13])],[f_3_23]) ).
cnf(f_3_25,negated_conjecture,
r1(sK1,sK2),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_26,negated_conjecture,
p15(sK2),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_27,negated_conjecture,
r1(sK2,sK3),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_28,negated_conjecture,
p1(sK3),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_29,negated_conjecture,
r1(sK1,sK4),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_30,negated_conjecture,
( sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15)
| ~ r1(sK4,U_34) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_31,negated_conjecture,
( r1(U_34,sK5(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_32,negated_conjecture,
( r1(sK5(U_34),sK6(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_33,negated_conjecture,
( r1(sK6(U_34),sK7(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_34,negated_conjecture,
( r1(sK7(U_34),sK8(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_35,negated_conjecture,
( r1(sK8(U_34),sK9(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_36,negated_conjecture,
( r1(sK9(U_34),sK10(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_37,negated_conjecture,
( r1(sK10(U_34),sK11(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_38,negated_conjecture,
( r1(sK11(U_34),sK12(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_39,negated_conjecture,
( r1(sK12(U_34),sK13(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_40,negated_conjecture,
( r1(sK13(U_34),sK14(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_41,negated_conjecture,
( r1(sK14(U_34),sK15(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_42,negated_conjecture,
( r1(sK15(U_34),sK16(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_43,negated_conjecture,
( ~ $false
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_44,negated_conjecture,
( r1(sK16(U_34),sK17(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_45,negated_conjecture,
( sP0(U_7)
| ~ r1(sK16(U_34),U_7)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_46,negated_conjecture,
( sP1(U_9)
| ~ r1(sK15(U_34),U_9)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_47,negated_conjecture,
( sP2(U_11)
| ~ r1(sK14(U_34),U_11)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_48,negated_conjecture,
( sP3(U_13)
| ~ r1(sK13(U_34),U_13)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_49,negated_conjecture,
( sP4(U_15)
| ~ r1(sK12(U_34),U_15)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_50,negated_conjecture,
( sP5(U_17)
| ~ r1(sK11(U_34),U_17)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_51,negated_conjecture,
( sP6(U_19)
| ~ r1(sK10(U_34),U_19)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_52,negated_conjecture,
( sP7(U_21)
| ~ r1(sK9(U_34),U_21)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_53,negated_conjecture,
( sP8(U_23)
| ~ r1(sK8(U_34),U_23)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_54,negated_conjecture,
( sP9(U_25)
| ~ r1(sK7(U_34),U_25)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_55,negated_conjecture,
( sP10(U_27)
| ~ r1(sK6(U_34),U_27)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_56,negated_conjecture,
( sP11(U_29)
| ~ r1(sK5(U_34),U_29)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_57,negated_conjecture,
( sP12(U_31)
| ~ r1(U_34,U_31)
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_58,negated_conjecture,
( r1(U_34,sK18(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_59,negated_conjecture,
( ~ p15(sK18(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_60,negated_conjecture,
( r1(U_34,sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_61,negated_conjecture,
( p14(sK19(U_34))
| p13(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_62,negated_conjecture,
( ~ p13(sK19(U_34))
| ~ p14(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_63,negated_conjecture,
( p13(sK19(U_34))
| p12(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_64,negated_conjecture,
( ~ p12(sK19(U_34))
| ~ p13(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_65,negated_conjecture,
( p12(sK19(U_34))
| p11(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_66,negated_conjecture,
( ~ p11(sK19(U_34))
| ~ p12(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_67,negated_conjecture,
( p11(sK19(U_34))
| p10(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_68,negated_conjecture,
( ~ p10(sK19(U_34))
| ~ p11(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_69,negated_conjecture,
( p10(sK19(U_34))
| p9(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_70,negated_conjecture,
( ~ p9(sK19(U_34))
| ~ p10(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_71,negated_conjecture,
( p9(sK19(U_34))
| p8(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_72,negated_conjecture,
( ~ p8(sK19(U_34))
| ~ p9(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_73,negated_conjecture,
( p8(sK19(U_34))
| p7(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_74,negated_conjecture,
( ~ p7(sK19(U_34))
| ~ p8(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_75,negated_conjecture,
( p7(sK19(U_34))
| p6(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_76,negated_conjecture,
( ~ p6(sK19(U_34))
| ~ p7(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_77,negated_conjecture,
( p6(sK19(U_34))
| p5(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_78,negated_conjecture,
( ~ p5(sK19(U_34))
| ~ p6(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_79,negated_conjecture,
( p5(sK19(U_34))
| p4(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_80,negated_conjecture,
( ~ p4(sK19(U_34))
| ~ p5(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_81,negated_conjecture,
( p4(sK19(U_34))
| p3(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_82,negated_conjecture,
( ~ p3(sK19(U_34))
| ~ p4(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_83,negated_conjecture,
( p3(sK19(U_34))
| p2(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_84,negated_conjecture,
( ~ p2(sK19(U_34))
| ~ p3(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_85,negated_conjecture,
( p2(sK19(U_34))
| p1(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_86,negated_conjecture,
( ~ p1(sK19(U_34))
| ~ p2(sK19(U_34))
| ~ sP13(U_7,U_31,U_17,U_29,U_21,U_19,U_13,U_11,U_27,U_9,U_23,U_34,U_25,U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_87,negated_conjecture,
( p13(U_7)
| ~ p14(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_88,negated_conjecture,
( ~ p13(U_7)
| p14(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_89,negated_conjecture,
( p12(U_9)
| ~ p13(U_9)
| ~ sP1(U_9) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_90,negated_conjecture,
( ~ p12(U_9)
| p13(U_9)
| ~ sP1(U_9) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_91,negated_conjecture,
( p11(U_11)
| ~ p12(U_11)
| ~ sP2(U_11) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_92,negated_conjecture,
( ~ p11(U_11)
| p12(U_11)
| ~ sP2(U_11) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_93,negated_conjecture,
( p10(U_13)
| ~ p11(U_13)
| ~ sP3(U_13) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_94,negated_conjecture,
( ~ p10(U_13)
| p11(U_13)
| ~ sP3(U_13) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_95,negated_conjecture,
( p9(U_15)
| ~ p10(U_15)
| ~ sP4(U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_96,negated_conjecture,
( ~ p9(U_15)
| p10(U_15)
| ~ sP4(U_15) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_97,negated_conjecture,
( p8(U_17)
| ~ p9(U_17)
| ~ sP5(U_17) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_98,negated_conjecture,
( ~ p8(U_17)
| p9(U_17)
| ~ sP5(U_17) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_99,negated_conjecture,
( p7(U_19)
| ~ p8(U_19)
| ~ sP6(U_19) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_100,negated_conjecture,
( ~ p7(U_19)
| p8(U_19)
| ~ sP6(U_19) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_101,negated_conjecture,
( p6(U_21)
| ~ p7(U_21)
| ~ sP7(U_21) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_102,negated_conjecture,
( ~ p6(U_21)
| p7(U_21)
| ~ sP7(U_21) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_103,negated_conjecture,
( p5(U_23)
| ~ p6(U_23)
| ~ sP8(U_23) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_104,negated_conjecture,
( ~ p5(U_23)
| p6(U_23)
| ~ sP8(U_23) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_105,negated_conjecture,
( p4(U_25)
| ~ p5(U_25)
| ~ sP9(U_25) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_106,negated_conjecture,
( ~ p4(U_25)
| p5(U_25)
| ~ sP9(U_25) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_107,negated_conjecture,
( p3(U_27)
| ~ p4(U_27)
| ~ sP10(U_27) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_108,negated_conjecture,
( ~ p3(U_27)
| p4(U_27)
| ~ sP10(U_27) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_109,negated_conjecture,
( p2(U_29)
| ~ p3(U_29)
| ~ sP11(U_29) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_110,negated_conjecture,
( ~ p2(U_29)
| p3(U_29)
| ~ sP11(U_29) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_111,negated_conjecture,
( p1(U_31)
| ~ p2(U_31)
| ~ sP12(U_31) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_112,negated_conjecture,
( ~ p1(U_31)
| p2(U_31)
| ~ sP12(U_31) ),
inference(clausify,[status(thm)],[f_3_24]) ).
cnf(f_3_43_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_3_43]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 15:40:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 2.95/3.29 % SZS status Theorem for theBenchmark
% 2.95/3.29 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------