%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:49:49 AM UTC 2026
% Result : Theorem 1.11s 16.64s
% Output : Proof 1.11s
% 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] :
~ ( ~ ( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p101(Y)
& ~ p102(Y) )
| ( ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& p3(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& ~ p3(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p102(Y)
& ~ p103(Y) )
| ( ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& p4(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& ~ p4(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p103(Y)
& ~ p104(Y) )
| ( ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& p5(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& ~ p5(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p104(Y)
& ~ p105(Y) )
| ( ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& p6(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& ~ p6(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) )
| ~ ! [Y] :
( p3(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] :
~ ( ~ ( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ ( p100(Y)
& ~ p101(Y) )
| ( ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& p2(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p101(X)
& ~ p102(X)
& ~ p2(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p101(Y)
& ~ p102(Y) )
| ( ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& p3(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p102(X)
& ~ p103(X)
& ~ p3(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p102(Y)
& ~ p103(Y) )
| ( ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& p4(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p103(X)
& ~ p104(X)
& ~ p4(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p103(Y)
& ~ p104(Y) )
| ( ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& p5(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p104(X)
& ~ p105(X)
& ~ p5(X) )
| ~ r1(Y,X) ) ) )
& ( ~ ( p104(Y)
& ~ p105(Y) )
| ( ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& p6(X) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ( p105(X)
& ~ p106(X)
& ~ p6(X) )
| ~ r1(Y,X) ) ) ) )
| ~ r1(X,Y) ) )
| ~ ! [Y] :
( p3(Y)
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_3_2,negated_conjecture,
? [X] :
( p100(X)
& ~ p101(X)
& ! [Y] :
( ( ( ~ p101(Y)
| p100(Y) )
& ( ~ p102(Y)
| p101(Y) )
& ( ~ p103(Y)
| p102(Y) )
& ( ~ p104(Y)
| p103(Y) )
& ( ~ p105(Y)
| p104(Y) )
& ( ~ p106(Y)
| p105(Y) )
& ( ~ p100(Y)
| ( ( ~ p1(Y)
| ! [X] :
( ~ p100(X)
| p1(X)
| ~ r1(Y,X) ) )
& ( p1(Y)
| ! [X] :
( ~ p100(X)
| ~ p1(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p101(Y)
| ( ( ~ p2(Y)
| ! [X] :
( ~ p101(X)
| p2(X)
| ~ r1(Y,X) ) )
& ( p2(Y)
| ! [X] :
( ~ p101(X)
| ~ p2(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p102(Y)
| ( ( ~ p3(Y)
| ! [X] :
( ~ p102(X)
| p3(X)
| ~ r1(Y,X) ) )
& ( p3(Y)
| ! [X] :
( ~ p102(X)
| ~ p3(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p103(Y)
| ( ( ~ p4(Y)
| ! [X] :
( ~ p103(X)
| p4(X)
| ~ r1(Y,X) ) )
& ( p4(Y)
| ! [X] :
( ~ p103(X)
| ~ p4(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p104(Y)
| ( ( ~ p5(Y)
| ! [X] :
( ~ p104(X)
| p5(X)
| ~ r1(Y,X) ) )
& ( p5(Y)
| ! [X] :
( ~ p104(X)
| ~ p5(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p105(Y)
| ( ( ~ p6(Y)
| ! [X] :
( ~ p105(X)
| p6(X)
| ~ r1(Y,X) ) )
& ( p6(Y)
| ! [X] :
( ~ p105(X)
| ~ p6(X)
| ~ r1(Y,X) ) ) ) )
& ( ~ p100(Y)
| p101(Y)
| ( ? [X] :
( p101(X)
& ~ p102(X)
& p2(X)
& r1(Y,X) )
& ? [X] :
( p101(X)
& ~ p102(X)
& ~ p2(X)
& r1(Y,X) ) ) )
& ( ~ p101(Y)
| p102(Y)
| ( ? [X] :
( p102(X)
& ~ p103(X)
& p3(X)
& r1(Y,X) )
& ? [X] :
( p102(X)
& ~ p103(X)
& ~ p3(X)
& r1(Y,X) ) ) )
& ( ~ p102(Y)
| p103(Y)
| ( ? [X] :
( p103(X)
& ~ p104(X)
& p4(X)
& r1(Y,X) )
& ? [X] :
( p103(X)
& ~ p104(X)
& ~ p4(X)
& r1(Y,X) ) ) )
& ( ~ p103(Y)
| p104(Y)
| ( ? [X] :
( p104(X)
& ~ p105(X)
& p5(X)
& r1(Y,X) )
& ? [X] :
( p104(X)
& ~ p105(X)
& ~ p5(X)
& r1(Y,X) ) ) )
& ( ~ p104(Y)
| p105(Y)
| ( ? [X] :
( p105(X)
& ~ p106(X)
& p6(X)
& r1(Y,X) )
& ? [X] :
( p105(X)
& ~ p106(X)
& ~ p6(X)
& r1(Y,X) ) ) ) )
| ~ r1(X,Y) )
& ! [Y] :
( p3(Y)
| ~ r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
? [U_28] :
( p100(U_28)
& ~ p101(U_28)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( ? [U_8] :
( p104(U_8)
& ~ p105(U_8)
& p5(U_8)
& r1(U_27,U_8) )
& ? [U_7] :
( p104(U_7)
& ~ p105(U_7)
& ~ p5(U_7)
& r1(U_27,U_7) ) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( ? [U_6] :
( p105(U_6)
& ~ p106(U_6)
& p6(U_6)
& r1(U_27,U_6) )
& ? [U_5] :
( p105(U_5)
& ~ p106(U_5)
& ~ p6(U_5)
& r1(U_27,U_5) ) ) ) )
| ~ r1(U_28,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(U_28,U_4) ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( ? [U_8] :
( p104(U_8)
& ~ p105(U_8)
& p5(U_8)
& r1(U_27,U_8) )
& ? [U_7] :
( p104(U_7)
& ~ p105(U_7)
& ~ p5(U_7)
& r1(U_27,U_7) ) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( ? [U_6] :
( p105(U_6)
& ~ p106(U_6)
& p6(U_6)
& r1(U_27,U_6) )
& ? [U_5] :
( p105(U_5)
& ~ p106(U_5)
& ~ p6(U_5)
& r1(U_27,U_5) ) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_28,sK1)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( ? [U_8] :
( p104(U_8)
& ~ p105(U_8)
& p5(U_8)
& r1(U_27,U_8) )
& ? [U_7] :
( p104(U_7)
& ~ p105(U_7)
& ~ p5(U_7)
& r1(U_27,U_7) ) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( ? [U_6] :
( p105(U_6)
& ~ p106(U_6)
& p6(U_6)
& r1(U_27,U_6) )
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2(U_27))],[f_3_4]) ).
fof(f_3_6,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( ? [U_8] :
( p104(U_8)
& ~ p105(U_8)
& p5(U_8)
& r1(U_27,U_8) )
& ? [U_7] :
( p104(U_7)
& ~ p105(U_7)
& ~ p5(U_7)
& r1(U_27,U_7) ) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_6,sK3(U_27))],[f_3_5]) ).
fof(f_3_7,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( ? [U_8] :
( p104(U_8)
& ~ p105(U_8)
& p5(U_8)
& r1(U_27,U_8) )
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_7,sK4(U_27))],[f_3_6]) ).
fof(f_3_8,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& ? [U_9] :
( p103(U_9)
& ~ p104(U_9)
& ~ p4(U_9)
& r1(U_27,U_9) ) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_8,sK5(U_27))],[f_3_7]) ).
fof(f_3_9,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( ? [U_10] :
( p103(U_10)
& ~ p104(U_10)
& p4(U_10)
& r1(U_27,U_10) )
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_9,sK6(U_27))],[f_3_8]) ).
fof(f_3_10,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& ? [U_11] :
( p102(U_11)
& ~ p103(U_11)
& ~ p3(U_11)
& r1(U_27,U_11) ) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( p103(sK7(U_27))
& ~ p104(sK7(U_27))
& p4(sK7(U_27))
& r1(U_27,sK7(U_27))
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_10,sK7(U_27))],[f_3_9]) ).
fof(f_3_11,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( ? [U_12] :
( p102(U_12)
& ~ p103(U_12)
& p3(U_12)
& r1(U_27,U_12) )
& p102(sK8(U_27))
& ~ p103(sK8(U_27))
& ~ p3(sK8(U_27))
& r1(U_27,sK8(U_27)) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( p103(sK7(U_27))
& ~ p104(sK7(U_27))
& p4(sK7(U_27))
& r1(U_27,sK7(U_27))
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_11,sK8(U_27))],[f_3_10]) ).
fof(f_3_12,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& ? [U_13] :
( p101(U_13)
& ~ p102(U_13)
& ~ p2(U_13)
& r1(U_27,U_13) ) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( p102(sK9(U_27))
& ~ p103(sK9(U_27))
& p3(sK9(U_27))
& r1(U_27,sK9(U_27))
& p102(sK8(U_27))
& ~ p103(sK8(U_27))
& ~ p3(sK8(U_27))
& r1(U_27,sK8(U_27)) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( p103(sK7(U_27))
& ~ p104(sK7(U_27))
& p4(sK7(U_27))
& r1(U_27,sK7(U_27))
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_12,sK9(U_27))],[f_3_11]) ).
fof(f_3_13,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( ? [U_14] :
( p101(U_14)
& ~ p102(U_14)
& p2(U_14)
& r1(U_27,U_14) )
& p101(sK10(U_27))
& ~ p102(sK10(U_27))
& ~ p2(sK10(U_27))
& r1(U_27,sK10(U_27)) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( p102(sK9(U_27))
& ~ p103(sK9(U_27))
& p3(sK9(U_27))
& r1(U_27,sK9(U_27))
& p102(sK8(U_27))
& ~ p103(sK8(U_27))
& ~ p3(sK8(U_27))
& r1(U_27,sK8(U_27)) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( p103(sK7(U_27))
& ~ p104(sK7(U_27))
& p4(sK7(U_27))
& r1(U_27,sK7(U_27))
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_13,sK10(U_27))],[f_3_12]) ).
fof(f_3_14,negated_conjecture,
( p100(sK1)
& ~ p101(sK1)
& ! [U_27] :
( ( ( ~ p101(U_27)
| p100(U_27) )
& ( ~ p102(U_27)
| p101(U_27) )
& ( ~ p103(U_27)
| p102(U_27) )
& ( ~ p104(U_27)
| p103(U_27) )
& ( ~ p105(U_27)
| p104(U_27) )
& ( ~ p106(U_27)
| p105(U_27) )
& ( ~ p100(U_27)
| ( ( ~ p1(U_27)
| ! [U_26] :
( ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26) ) )
& ( p1(U_27)
| ! [U_25] :
( ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25) ) ) ) )
& ( ~ p101(U_27)
| ( ( ~ p2(U_27)
| ! [U_24] :
( ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24) ) )
& ( p2(U_27)
| ! [U_23] :
( ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23) ) ) ) )
& ( ~ p102(U_27)
| ( ( ~ p3(U_27)
| ! [U_22] :
( ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22) ) )
& ( p3(U_27)
| ! [U_21] :
( ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21) ) ) ) )
& ( ~ p103(U_27)
| ( ( ~ p4(U_27)
| ! [U_20] :
( ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20) ) )
& ( p4(U_27)
| ! [U_19] :
( ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19) ) ) ) )
& ( ~ p104(U_27)
| ( ( ~ p5(U_27)
| ! [U_18] :
( ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18) ) )
& ( p5(U_27)
| ! [U_17] :
( ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17) ) ) ) )
& ( ~ p105(U_27)
| ( ( ~ p6(U_27)
| ! [U_16] :
( ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16) ) )
& ( p6(U_27)
| ! [U_15] :
( ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15) ) ) ) )
& ( ~ p100(U_27)
| p101(U_27)
| ( p101(sK11(U_27))
& ~ p102(sK11(U_27))
& p2(sK11(U_27))
& r1(U_27,sK11(U_27))
& p101(sK10(U_27))
& ~ p102(sK10(U_27))
& ~ p2(sK10(U_27))
& r1(U_27,sK10(U_27)) ) )
& ( ~ p101(U_27)
| p102(U_27)
| ( p102(sK9(U_27))
& ~ p103(sK9(U_27))
& p3(sK9(U_27))
& r1(U_27,sK9(U_27))
& p102(sK8(U_27))
& ~ p103(sK8(U_27))
& ~ p3(sK8(U_27))
& r1(U_27,sK8(U_27)) ) )
& ( ~ p102(U_27)
| p103(U_27)
| ( p103(sK7(U_27))
& ~ p104(sK7(U_27))
& p4(sK7(U_27))
& r1(U_27,sK7(U_27))
& p103(sK6(U_27))
& ~ p104(sK6(U_27))
& ~ p4(sK6(U_27))
& r1(U_27,sK6(U_27)) ) )
& ( ~ p103(U_27)
| p104(U_27)
| ( p104(sK5(U_27))
& ~ p105(sK5(U_27))
& p5(sK5(U_27))
& r1(U_27,sK5(U_27))
& p104(sK4(U_27))
& ~ p105(sK4(U_27))
& ~ p5(sK4(U_27))
& r1(U_27,sK4(U_27)) ) )
& ( ~ p104(U_27)
| p105(U_27)
| ( p105(sK3(U_27))
& ~ p106(sK3(U_27))
& p6(sK3(U_27))
& r1(U_27,sK3(U_27))
& p105(sK2(U_27))
& ~ p106(sK2(U_27))
& ~ p6(sK2(U_27))
& r1(U_27,sK2(U_27)) ) ) )
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_14,sK11(U_27))],[f_3_13]) ).
fof(f_3_15,negated_conjecture,
( ! [U_26,U_25,U_27] :
( ~ p1(U_27)
| ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26)
| ~ sP10(U_26,U_25,U_27) )
& ! [U_26,U_25,U_27] :
( p1(U_27)
| ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25)
| ~ sP10(U_26,U_25,U_27) )
& ! [U_24,U_23,U_27] :
( ~ p2(U_27)
| ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24)
| ~ sP9(U_24,U_23,U_27) )
& ! [U_24,U_23,U_27] :
( p2(U_27)
| ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23)
| ~ sP9(U_24,U_23,U_27) )
& ! [U_21,U_22,U_27] :
( ~ p3(U_27)
| ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22)
| ~ sP8(U_21,U_22,U_27) )
& ! [U_21,U_22,U_27] :
( p3(U_27)
| ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21)
| ~ sP8(U_21,U_22,U_27) )
& ! [U_27,U_19,U_20] :
( ~ p4(U_27)
| ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20)
| ~ sP7(U_27,U_19,U_20) )
& ! [U_27,U_19,U_20] :
( p4(U_27)
| ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19)
| ~ sP7(U_27,U_19,U_20) )
& ! [U_17,U_18,U_27] :
( ~ p5(U_27)
| ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18)
| ~ sP6(U_17,U_18,U_27) )
& ! [U_17,U_18,U_27] :
( p5(U_27)
| ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17)
| ~ sP6(U_17,U_18,U_27) )
& ! [U_27,U_15,U_16] :
( ~ p6(U_27)
| ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16)
| ~ sP5(U_27,U_15,U_16) )
& ! [U_27,U_15,U_16] :
( p6(U_27)
| ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15)
| ~ sP5(U_27,U_15,U_16) )
& ! [U_27] :
( p101(sK11(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( ~ p102(sK11(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( p2(sK11(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( r1(U_27,sK11(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( p101(sK10(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( ~ p102(sK10(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( ~ p2(sK10(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( r1(U_27,sK10(U_27))
| ~ sP4(U_27) )
& ! [U_27] :
( p102(sK9(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( ~ p103(sK9(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( p3(sK9(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( r1(U_27,sK9(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( p102(sK8(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( ~ p103(sK8(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( ~ p3(sK8(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( r1(U_27,sK8(U_27))
| ~ sP3(U_27) )
& ! [U_27] :
( p103(sK7(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( ~ p104(sK7(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( p4(sK7(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( r1(U_27,sK7(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( p103(sK6(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( ~ p104(sK6(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( ~ p4(sK6(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( r1(U_27,sK6(U_27))
| ~ sP2(U_27) )
& ! [U_27] :
( p104(sK5(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( ~ p105(sK5(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( p5(sK5(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( r1(U_27,sK5(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( p104(sK4(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( ~ p105(sK4(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( ~ p5(sK4(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( r1(U_27,sK4(U_27))
| ~ sP1(U_27) )
& ! [U_27] :
( p105(sK3(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( ~ p106(sK3(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( p6(sK3(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( r1(U_27,sK3(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( p105(sK2(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( ~ p106(sK2(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( ~ p6(sK2(U_27))
| ~ sP0(U_27) )
& ! [U_27] :
( r1(U_27,sK2(U_27))
| ~ sP0(U_27) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p101(U_27)
| p100(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p102(U_27)
| p101(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p103(U_27)
| p102(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p104(U_27)
| p103(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p105(U_27)
| p104(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p106(U_27)
| p105(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p100(U_27)
| sP10(U_26,U_25,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p101(U_27)
| sP9(U_24,U_23,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p102(U_27)
| sP8(U_21,U_22,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p103(U_27)
| sP7(U_27,U_19,U_20)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p104(U_27)
| sP6(U_17,U_18,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p105(U_27)
| sP5(U_27,U_15,U_16)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p100(U_27)
| p101(U_27)
| sP4(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p101(U_27)
| p102(U_27)
| sP3(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p102(U_27)
| p103(U_27)
| sP2(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p103(U_27)
| p104(U_27)
| sP1(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( ~ p104(U_27)
| p105(U_27)
| sP0(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) )
& p100(sK1)
& ~ p101(sK1)
& ! [U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16] :
( sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16)
| ~ r1(sK1,U_27) )
& ! [U_4] :
( p3(U_4)
| ~ r1(sK1,U_4) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5,sP6,sP7,sP8,sP9,sP10,sP11])],[f_3_14]) ).
cnf(f_3_16,negated_conjecture,
( p3(U_4)
| ~ r1(sK1,U_4) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_17,negated_conjecture,
( sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16)
| ~ r1(sK1,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_18,negated_conjecture,
~ p101(sK1),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_19,negated_conjecture,
p100(sK1),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_20,negated_conjecture,
( ~ p104(U_27)
| p105(U_27)
| sP0(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_21,negated_conjecture,
( ~ p103(U_27)
| p104(U_27)
| sP1(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_22,negated_conjecture,
( ~ p102(U_27)
| p103(U_27)
| sP2(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_23,negated_conjecture,
( ~ p101(U_27)
| p102(U_27)
| sP3(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_24,negated_conjecture,
( ~ p100(U_27)
| p101(U_27)
| sP4(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_25,negated_conjecture,
( ~ p105(U_27)
| sP5(U_27,U_15,U_16)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_26,negated_conjecture,
( ~ p104(U_27)
| sP6(U_17,U_18,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_27,negated_conjecture,
( ~ p103(U_27)
| sP7(U_27,U_19,U_20)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_28,negated_conjecture,
( ~ p102(U_27)
| sP8(U_21,U_22,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_29,negated_conjecture,
( ~ p101(U_27)
| sP9(U_24,U_23,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_30,negated_conjecture,
( ~ p100(U_27)
| sP10(U_26,U_25,U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_31,negated_conjecture,
( ~ p106(U_27)
| p105(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_32,negated_conjecture,
( ~ p105(U_27)
| p104(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_33,negated_conjecture,
( ~ p104(U_27)
| p103(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_34,negated_conjecture,
( ~ p103(U_27)
| p102(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_35,negated_conjecture,
( ~ p102(U_27)
| p101(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_36,negated_conjecture,
( ~ p101(U_27)
| p100(U_27)
| ~ sP11(U_17,U_18,U_26,U_21,U_22,U_24,U_25,U_23,U_27,U_19,U_20,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_37,negated_conjecture,
( r1(U_27,sK2(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_38,negated_conjecture,
( ~ p6(sK2(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_39,negated_conjecture,
( ~ p106(sK2(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_40,negated_conjecture,
( p105(sK2(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_41,negated_conjecture,
( r1(U_27,sK3(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_42,negated_conjecture,
( p6(sK3(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_43,negated_conjecture,
( ~ p106(sK3(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_44,negated_conjecture,
( p105(sK3(U_27))
| ~ sP0(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_45,negated_conjecture,
( r1(U_27,sK4(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_46,negated_conjecture,
( ~ p5(sK4(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_47,negated_conjecture,
( ~ p105(sK4(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_48,negated_conjecture,
( p104(sK4(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_49,negated_conjecture,
( r1(U_27,sK5(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_50,negated_conjecture,
( p5(sK5(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_51,negated_conjecture,
( ~ p105(sK5(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_52,negated_conjecture,
( p104(sK5(U_27))
| ~ sP1(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_53,negated_conjecture,
( r1(U_27,sK6(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_54,negated_conjecture,
( ~ p4(sK6(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_55,negated_conjecture,
( ~ p104(sK6(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_56,negated_conjecture,
( p103(sK6(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_57,negated_conjecture,
( r1(U_27,sK7(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_58,negated_conjecture,
( p4(sK7(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_59,negated_conjecture,
( ~ p104(sK7(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_60,negated_conjecture,
( p103(sK7(U_27))
| ~ sP2(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_61,negated_conjecture,
( r1(U_27,sK8(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_62,negated_conjecture,
( ~ p3(sK8(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_63,negated_conjecture,
( ~ p103(sK8(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_64,negated_conjecture,
( p102(sK8(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_65,negated_conjecture,
( r1(U_27,sK9(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_66,negated_conjecture,
( p3(sK9(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_67,negated_conjecture,
( ~ p103(sK9(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_68,negated_conjecture,
( p102(sK9(U_27))
| ~ sP3(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_69,negated_conjecture,
( r1(U_27,sK10(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_70,negated_conjecture,
( ~ p2(sK10(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_71,negated_conjecture,
( ~ p102(sK10(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_72,negated_conjecture,
( p101(sK10(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_73,negated_conjecture,
( r1(U_27,sK11(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_74,negated_conjecture,
( p2(sK11(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_75,negated_conjecture,
( ~ p102(sK11(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_76,negated_conjecture,
( p101(sK11(U_27))
| ~ sP4(U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_77,negated_conjecture,
( p6(U_27)
| ~ p105(U_15)
| ~ p6(U_15)
| ~ r1(U_27,U_15)
| ~ sP5(U_27,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_78,negated_conjecture,
( ~ p6(U_27)
| ~ p105(U_16)
| p6(U_16)
| ~ r1(U_27,U_16)
| ~ sP5(U_27,U_15,U_16) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_79,negated_conjecture,
( p5(U_27)
| ~ p104(U_17)
| ~ p5(U_17)
| ~ r1(U_27,U_17)
| ~ sP6(U_17,U_18,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_80,negated_conjecture,
( ~ p5(U_27)
| ~ p104(U_18)
| p5(U_18)
| ~ r1(U_27,U_18)
| ~ sP6(U_17,U_18,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_81,negated_conjecture,
( p4(U_27)
| ~ p103(U_19)
| ~ p4(U_19)
| ~ r1(U_27,U_19)
| ~ sP7(U_27,U_19,U_20) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_82,negated_conjecture,
( ~ p4(U_27)
| ~ p103(U_20)
| p4(U_20)
| ~ r1(U_27,U_20)
| ~ sP7(U_27,U_19,U_20) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_83,negated_conjecture,
( p3(U_27)
| ~ p102(U_21)
| ~ p3(U_21)
| ~ r1(U_27,U_21)
| ~ sP8(U_21,U_22,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_84,negated_conjecture,
( ~ p3(U_27)
| ~ p102(U_22)
| p3(U_22)
| ~ r1(U_27,U_22)
| ~ sP8(U_21,U_22,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_85,negated_conjecture,
( p2(U_27)
| ~ p101(U_23)
| ~ p2(U_23)
| ~ r1(U_27,U_23)
| ~ sP9(U_24,U_23,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_86,negated_conjecture,
( ~ p2(U_27)
| ~ p101(U_24)
| p2(U_24)
| ~ r1(U_27,U_24)
| ~ sP9(U_24,U_23,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_87,negated_conjecture,
( p1(U_27)
| ~ p100(U_25)
| ~ p1(U_25)
| ~ r1(U_27,U_25)
| ~ sP10(U_26,U_25,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(f_3_88,negated_conjecture,
( ~ p1(U_27)
| ~ p100(U_26)
| p1(U_26)
| ~ r1(U_27,U_26)
| ~ sP10(U_26,U_25,U_27) ),
inference(clausify,[status(thm)],[f_3_15]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.62 % Computer : n019.cluster.edu
% 0.11/15.62 % Model : x86_64 x86_64
% 0.11/15.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.62 % Memory : 8046.5625MB
% 0.11/15.62 % OS : Linux 6.8.0-71-generic
% 0.11/15.62 % CPULimit : 300
% 0.11/15.62 % WCLimit : 300
% 0.11/15.62 % DateTime : Sat Sep 19 15:38:52 UTC 2026
% 0.11/15.62 % CPUTime :
% 1.11/16.64 % SZS status Theorem for theBenchmark
% 1.11/16.64 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------