%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL668+1.001 : 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 : n011.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 08:49:47 AM UTC 2026
% Result : Theorem 0.34s 15.61s
% Output : Proof 0.34s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X),
file('theBenchmark.p',reflexivity) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p4(X) )
| ( ~ p4(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p4(X)
& p5(X) )
| ( ~ p5(X)
& ~ p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p5(X)
& p1(X) )
| ( ~ p1(X)
& ~ p5(X) ) )
| ~ 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] :
( p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X)
& ~ p10(X)
& ~ p12(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ 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,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X)
& p5(X)
& p6(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p4(X) )
| ( ~ p4(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p4(X)
& p5(X) )
| ( ~ p5(X)
& ~ p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p5(X)
& p1(X) )
| ( ~ p1(X)
& ~ p5(X) ) )
| ~ 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] :
( p7(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X)
& ~ p10(X)
& ~ p12(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_2_2,negated_conjecture,
? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( ~ p1(X)
| ~ p2(X)
| ~ p3(X)
| ~ p4(X)
| ~ p5(X)
| ~ p6(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p4(X) )
& ( p4(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p4(X)
| ~ p5(X) )
& ( p5(X)
| p4(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p6(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p5(X)
| ~ p1(X) )
& ( p1(X)
| p5(X) ) )
| ~ 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] :
( ~ p7(Y)
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( p2(X)
| p4(X)
| p6(X)
| p8(X)
| p10(X)
| p12(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_2_1]) ).
fof(f_2_3,negated_conjecture,
? [U_48] :
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(U_48,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(U_48,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(U_48,U_7) )
& ? [U_6] :
( ? [U_5] :
( ? [U_4] :
( ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(U_4,U_3) )
& r1(U_5,U_4) )
& r1(U_6,U_5) )
& r1(U_48,U_6) ) ),
inference(variable_rename,[status(thm)],[f_2_2]) ).
fof(f_2_4,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_6] :
( ? [U_5] :
( ? [U_4] :
( ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(U_4,U_3) )
& r1(U_5,U_4) )
& r1(U_6,U_5) )
& r1(sK1,U_6) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_48,sK1)],[f_2_3]) ).
fof(f_2_5,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_5] :
( ? [U_4] :
( ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(U_4,U_3) )
& r1(U_5,U_4) )
& r1(sK2,U_5) )
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2)],[f_2_4]) ).
fof(f_2_6,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_4] :
( ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(U_4,U_3) )
& r1(sK3,U_4) )
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_2_5]) ).
fof(f_2_7,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(sK4,U_3) )
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_4,sK4)],[f_2_6]) ).
fof(f_2_8,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_2] :
( ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(U_2,U_1) )
& r1(sK5,U_2) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_3,sK5)],[f_2_7]) ).
fof(f_2_9,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ? [U_1] :
( ( p2(U_1)
| p4(U_1)
| p6(U_1)
| p8(U_1)
| p10(U_1)
| p12(U_1) )
& r1(sK6,U_1) )
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_2,sK6)],[f_2_8]) ).
fof(f_2_10,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ? [U_7] :
( ~ p7(U_7)
& r1(sK1,U_7) )
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_1,sK7)],[f_2_9]) ).
fof(f_2_11,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ? [U_15] :
( ~ p6(U_15)
& r1(U_41,U_15) )
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_7,sK8)],[f_2_10]) ).
fof(f_2_12,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ? [U_22] :
( ~ p5(U_22)
& r1(U_40,U_22) )
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_15,sK9(U_41))],[f_2_11]) ).
fof(f_2_13,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ? [U_28] :
( ~ p4(U_28)
& r1(U_39,U_28) )
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_22,sK10(U_41,U_40))],[f_2_12]) ).
fof(f_2_14,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ? [U_33] :
( ~ p3(U_33)
& r1(U_38,U_33) )
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_28,sK11(U_41,U_40,U_39))],[f_2_13]) ).
fof(f_2_15,negated_conjecture,
( ? [U_47] :
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(U_47,U_46) )
& r1(sK1,U_47) )
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_33,sK12(U_41,U_40,U_39,U_38))],[f_2_14]) ).
fof(f_2_16,negated_conjecture,
( ? [U_46] :
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(U_46,U_45) )
& r1(sK13,U_46) )
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_47,sK13)],[f_2_15]) ).
fof(f_2_17,negated_conjecture,
( ? [U_45] :
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(U_45,U_44) )
& r1(sK14,U_45) )
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_46,sK14)],[f_2_16]) ).
fof(f_2_18,negated_conjecture,
( ? [U_44] :
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(U_44,U_43) )
& r1(sK15,U_44) )
& r1(sK14,sK15)
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_45,sK15)],[f_2_17]) ).
fof(f_2_19,negated_conjecture,
( ? [U_43] :
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(U_43,U_42) )
& r1(sK16,U_43) )
& r1(sK15,sK16)
& r1(sK14,sK15)
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_44,sK16)],[f_2_18]) ).
fof(f_2_20,negated_conjecture,
( ? [U_42] :
( ( ~ p1(U_42)
| ~ p2(U_42)
| ~ p3(U_42)
| ~ p4(U_42)
| ~ p5(U_42)
| ~ p6(U_42) )
& r1(sK17,U_42) )
& r1(sK16,sK17)
& r1(sK15,sK16)
& r1(sK14,sK15)
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_43,sK17)],[f_2_19]) ).
fof(f_2_21,negated_conjecture,
( ( ~ p1(sK18)
| ~ p2(sK18)
| ~ p3(sK18)
| ~ p4(sK18)
| ~ p5(sK18)
| ~ p6(sK18) )
& r1(sK17,sK18)
& r1(sK16,sK17)
& r1(sK15,sK16)
& r1(sK14,sK15)
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_41] :
( ( ! [U_40] :
( ( ! [U_39] :
( ( ! [U_38] :
( ( ! [U_37] :
( ! [U_36] :
( ! [U_35] :
( ! [U_34] :
( ( ( ~ p1(U_34)
| ~ p2(U_34) )
& ( p2(U_34)
| p1(U_34) ) )
| ~ r1(U_35,U_34) )
| ~ r1(U_36,U_35) )
| ~ r1(U_37,U_36) )
| ~ r1(U_38,U_37) )
& ~ p3(sK12(U_41,U_40,U_39,U_38))
& r1(U_38,sK12(U_41,U_40,U_39,U_38))
& ! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ! [U_29] :
( ( ( ~ p2(U_29)
| ~ p3(U_29) )
& ( p3(U_29)
| p2(U_29) ) )
| ~ r1(U_30,U_29) )
| ~ r1(U_31,U_30) )
| ~ r1(U_32,U_31) )
| ~ r1(U_38,U_32) ) )
| ~ r1(U_39,U_38) )
& ~ p4(sK11(U_41,U_40,U_39))
& r1(U_39,sK11(U_41,U_40,U_39))
& ! [U_27] :
( ! [U_26] :
( ! [U_25] :
( ! [U_24] :
( ! [U_23] :
( ( ( ~ p3(U_23)
| ~ p4(U_23) )
& ( p4(U_23)
| p3(U_23) ) )
| ~ r1(U_24,U_23) )
| ~ r1(U_25,U_24) )
| ~ r1(U_26,U_25) )
| ~ r1(U_27,U_26) )
| ~ r1(U_39,U_27) ) )
| ~ r1(U_40,U_39) )
& ~ p5(sK10(U_41,U_40))
& r1(U_40,sK10(U_41,U_40))
& ! [U_21] :
( ! [U_20] :
( ! [U_19] :
( ! [U_18] :
( ! [U_17] :
( ! [U_16] :
( ( ( ~ p4(U_16)
| ~ p5(U_16) )
& ( p5(U_16)
| p4(U_16) ) )
| ~ r1(U_17,U_16) )
| ~ r1(U_18,U_17) )
| ~ r1(U_19,U_18) )
| ~ r1(U_20,U_19) )
| ~ r1(U_21,U_20) )
| ~ r1(U_40,U_21) ) )
| ~ r1(U_41,U_40) )
& ~ p6(sK9(U_41))
& r1(U_41,sK9(U_41))
& ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( ! [U_11] :
( ! [U_10] :
( ! [U_9] :
( ! [U_8] :
( ( ( ~ p5(U_8)
| ~ p1(U_8) )
& ( p1(U_8)
| p5(U_8) ) )
| ~ r1(U_9,U_8) )
| ~ r1(U_10,U_9) )
| ~ r1(U_11,U_10) )
| ~ r1(U_12,U_11) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
| ~ r1(U_41,U_14) ) )
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_42,sK18)],[f_2_20]) ).
fof(f_2_22,negated_conjecture,
( ! [U_34] :
( ~ p1(U_34)
| ~ p2(U_34)
| ~ sP4(U_34) )
& ! [U_34] :
( p2(U_34)
| p1(U_34)
| ~ sP4(U_34) )
& ! [U_29] :
( ~ p2(U_29)
| ~ p3(U_29)
| ~ sP3(U_29) )
& ! [U_29] :
( p3(U_29)
| p2(U_29)
| ~ sP3(U_29) )
& ! [U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34] :
( sP4(U_34)
| ~ r1(U_35,U_34)
| ~ r1(U_36,U_35)
| ~ r1(U_37,U_36)
| ~ r1(U_38,U_37)
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) )
& ! [U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34] :
( ~ p3(sK12(U_41,U_40,U_39,U_38))
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) )
& ! [U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34] :
( r1(U_38,sK12(U_41,U_40,U_39,U_38))
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) )
& ! [U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34] :
( sP3(U_29)
| ~ r1(U_30,U_29)
| ~ r1(U_31,U_30)
| ~ r1(U_32,U_31)
| ~ r1(U_38,U_32)
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) )
& ! [U_23] :
( ~ p3(U_23)
| ~ p4(U_23)
| ~ sP2(U_23) )
& ! [U_23] :
( p4(U_23)
| p3(U_23)
| ~ sP2(U_23) )
& ! [U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23] :
( sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34)
| ~ r1(U_39,U_38)
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) )
& ! [U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23] :
( ~ p4(sK11(U_41,U_40,U_39))
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) )
& ! [U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23] :
( r1(U_39,sK11(U_41,U_40,U_39))
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) )
& ! [U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23] :
( sP2(U_23)
| ~ r1(U_24,U_23)
| ~ r1(U_25,U_24)
| ~ r1(U_26,U_25)
| ~ r1(U_27,U_26)
| ~ r1(U_39,U_27)
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) )
& ! [U_16] :
( ~ p4(U_16)
| ~ p5(U_16)
| ~ sP1(U_16) )
& ! [U_16] :
( p5(U_16)
| p4(U_16)
| ~ sP1(U_16) )
& ! [U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23] :
( sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23)
| ~ r1(U_40,U_39)
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23] :
( ~ p5(sK10(U_41,U_40))
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23] :
( r1(U_40,sK10(U_41,U_40))
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23] :
( sP1(U_16)
| ~ r1(U_17,U_16)
| ~ r1(U_18,U_17)
| ~ r1(U_19,U_18)
| ~ r1(U_20,U_19)
| ~ r1(U_21,U_20)
| ~ r1(U_40,U_21)
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) )
& ! [U_8] :
( ~ p5(U_8)
| ~ p1(U_8)
| ~ sP0(U_8) )
& ! [U_8] :
( p1(U_8)
| p5(U_8)
| ~ sP0(U_8) )
& ! [U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23] :
( sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23)
| ~ r1(U_41,U_40)
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23] :
( ~ p6(sK9(U_41))
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23] :
( r1(U_41,sK9(U_41))
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) )
& ! [U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23] :
( sP0(U_8)
| ~ r1(U_9,U_8)
| ~ r1(U_10,U_9)
| ~ r1(U_11,U_10)
| ~ r1(U_12,U_11)
| ~ r1(U_13,U_12)
| ~ r1(U_14,U_13)
| ~ r1(U_41,U_14)
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) )
& ( ~ p1(sK18)
| ~ p2(sK18)
| ~ p3(sK18)
| ~ p4(sK18)
| ~ p5(sK18)
| ~ p6(sK18) )
& r1(sK17,sK18)
& r1(sK16,sK17)
& r1(sK15,sK16)
& r1(sK14,sK15)
& r1(sK13,sK14)
& r1(sK1,sK13)
& ! [U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23] :
( sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23)
| ~ r1(sK1,U_41) )
& ~ p7(sK8)
& r1(sK1,sK8)
& ( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) )
& r1(sK6,sK7)
& r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5,sP6,sP7,sP8])],[f_2_21]) ).
cnf(f_2_23,negated_conjecture,
r1(sK1,sK2),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_24,negated_conjecture,
r1(sK2,sK3),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_25,negated_conjecture,
r1(sK3,sK4),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_26,negated_conjecture,
r1(sK4,sK5),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_27,negated_conjecture,
r1(sK5,sK6),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_28,negated_conjecture,
r1(sK6,sK7),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_29,negated_conjecture,
( p2(sK7)
| p4(sK7)
| p6(sK7)
| p8(sK7)
| p10(sK7)
| p12(sK7) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_30,negated_conjecture,
r1(sK1,sK8),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_31,negated_conjecture,
~ p7(sK8),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_32,negated_conjecture,
( sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23)
| ~ r1(sK1,U_41) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_33,negated_conjecture,
r1(sK1,sK13),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_34,negated_conjecture,
r1(sK13,sK14),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_35,negated_conjecture,
r1(sK14,sK15),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_36,negated_conjecture,
r1(sK15,sK16),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_37,negated_conjecture,
r1(sK16,sK17),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_38,negated_conjecture,
r1(sK17,sK18),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_39,negated_conjecture,
( ~ p1(sK18)
| ~ p2(sK18)
| ~ p3(sK18)
| ~ p4(sK18)
| ~ p5(sK18)
| ~ p6(sK18) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_40,negated_conjecture,
( sP0(U_8)
| ~ r1(U_9,U_8)
| ~ r1(U_10,U_9)
| ~ r1(U_11,U_10)
| ~ r1(U_12,U_11)
| ~ r1(U_13,U_12)
| ~ r1(U_14,U_13)
| ~ r1(U_41,U_14)
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_41,negated_conjecture,
( r1(U_41,sK9(U_41))
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_42,negated_conjecture,
( ~ p6(sK9(U_41))
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_43,negated_conjecture,
( sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23)
| ~ r1(U_41,U_40)
| ~ sP8(U_31,U_21,U_32,U_12,U_8,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_11,U_9,U_18,U_30,U_40,U_10,U_13,U_37,U_20,U_17,U_39,U_14,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_44,negated_conjecture,
( p1(U_8)
| p5(U_8)
| ~ sP0(U_8) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_45,negated_conjecture,
( ~ p5(U_8)
| ~ p1(U_8)
| ~ sP0(U_8) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_46,negated_conjecture,
( sP1(U_16)
| ~ r1(U_17,U_16)
| ~ r1(U_18,U_17)
| ~ r1(U_19,U_18)
| ~ r1(U_20,U_19)
| ~ r1(U_21,U_20)
| ~ r1(U_40,U_21)
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_47,negated_conjecture,
( r1(U_40,sK10(U_41,U_40))
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_48,negated_conjecture,
( ~ p5(sK10(U_41,U_40))
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_49,negated_conjecture,
( sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23)
| ~ r1(U_40,U_39)
| ~ sP7(U_31,U_21,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_18,U_30,U_40,U_37,U_20,U_17,U_39,U_19,U_16,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_50,negated_conjecture,
( p5(U_16)
| p4(U_16)
| ~ sP1(U_16) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_51,negated_conjecture,
( ~ p4(U_16)
| ~ p5(U_16)
| ~ sP1(U_16) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_52,negated_conjecture,
( sP2(U_23)
| ~ r1(U_24,U_23)
| ~ r1(U_25,U_24)
| ~ r1(U_26,U_25)
| ~ r1(U_27,U_26)
| ~ r1(U_39,U_27)
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_53,negated_conjecture,
( r1(U_39,sK11(U_41,U_40,U_39))
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_54,negated_conjecture,
( ~ p4(sK11(U_41,U_40,U_39))
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_55,negated_conjecture,
( sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34)
| ~ r1(U_39,U_38)
| ~ sP6(U_31,U_32,U_29,U_25,U_36,U_27,U_38,U_41,U_26,U_35,U_30,U_40,U_37,U_39,U_24,U_34,U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_56,negated_conjecture,
( p4(U_23)
| p3(U_23)
| ~ sP2(U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_57,negated_conjecture,
( ~ p3(U_23)
| ~ p4(U_23)
| ~ sP2(U_23) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_58,negated_conjecture,
( sP3(U_29)
| ~ r1(U_30,U_29)
| ~ r1(U_31,U_30)
| ~ r1(U_32,U_31)
| ~ r1(U_38,U_32)
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_59,negated_conjecture,
( r1(U_38,sK12(U_41,U_40,U_39,U_38))
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_60,negated_conjecture,
( ~ p3(sK12(U_41,U_40,U_39,U_38))
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_61,negated_conjecture,
( sP4(U_34)
| ~ r1(U_35,U_34)
| ~ r1(U_36,U_35)
| ~ r1(U_37,U_36)
| ~ r1(U_38,U_37)
| ~ sP5(U_31,U_32,U_29,U_36,U_38,U_41,U_35,U_30,U_40,U_37,U_39,U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_62,negated_conjecture,
( p3(U_29)
| p2(U_29)
| ~ sP3(U_29) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_63,negated_conjecture,
( ~ p2(U_29)
| ~ p3(U_29)
| ~ sP3(U_29) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_64,negated_conjecture,
( p2(U_34)
| p1(U_34)
| ~ sP4(U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(f_2_65,negated_conjecture,
( ~ p1(U_34)
| ~ p2(U_34)
| ~ sP4(U_34) ),
inference(clausify,[status(thm)],[f_2_22]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL668+1.001 : 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
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.47 % CPULimit : 300
% 0.08/15.47 % WCLimit : 300
% 0.08/15.47 % DateTime : Sat Sep 19 15:38:58 UTC 2026
% 0.08/15.48 % CPUTime :
% 0.34/15.61 % SZS status Theorem for theBenchmark
% 0.34/15.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------