%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL672+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 : n010.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 08:49:48 AM UTC 2026
% Result : Theorem 5.97s 16.42s
% Output : Proof 6.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X),
file('theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(Y,Z)
& r1(X,Y) )
=> r1(X,Z) ),
file('theBenchmark.p',transitivity) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ! [X] :
( ~ ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) ) ),
file('theBenchmark.p',main) ).
fof(f_1_1,plain,
! [X] : r1(X,X),
inference(fof_nnf,[status(thm)],[reflexivity]) ).
fof(f_1_2,plain,
! [U_0] : r1(U_0,U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
r1(U_0,U_0),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ r1(Y,Z)
| ~ r1(X,Y) ),
inference(fof_nnf,[status(thm)],[transitivity]) ).
fof(f_2_2,plain,
! [U_3,U_2,U_1] :
( r1(U_3,U_1)
| ~ r1(U_2,U_1)
| ~ r1(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( r1(U_3,U_1)
| ~ r1(U_2,U_1)
| ~ r1(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
& ~ ! [X] :
( ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ! [X] :
( ~ ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
| ( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ~ ! [Y] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_3_2,negated_conjecture,
? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
& ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ $false
& r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ! [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) )
& ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ~ p1(Y)
| ! [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) ) ) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
? [U_34] :
( ? [U_33] :
( ~ p1(U_33)
& r1(U_34,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(U_34,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(U_34,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(U_34,U_27) )
| ! [U_26] :
( ? [U_25] :
( ~ $false
& r1(U_26,U_25) )
| ~ r1(U_34,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(U_34,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(U_34,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ? [U_18] :
( ! [U_17] :
( p1(U_17)
| ~ r1(U_18,U_17) )
& r1(U_19,U_18) )
| ~ r1(U_22,U_19) )
| ~ r1(U_34,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(U_34,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(U_34,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ? [U_10] :
( ~ p1(U_10)
& r1(U_11,U_10) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(U_34,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(U_34,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(U_34,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ? [U_5] :
( p1(U_5)
& r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_34,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(U_34,U_4) ) ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
? [U_34] :
( ? [U_33] :
( ~ p1(U_33)
& r1(U_34,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(U_34,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(U_34,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(U_34,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(U_34,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(U_34,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(U_34,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ? [U_18] :
( ! [U_17] :
( p1(U_17)
| ~ r1(U_18,U_17) )
& r1(U_19,U_18) )
| ~ r1(U_22,U_19) )
| ~ r1(U_34,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(U_34,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(U_34,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ? [U_10] :
( ~ p1(U_10)
& r1(U_11,U_10) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(U_34,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(U_34,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(U_34,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ? [U_5] :
( p1(U_5)
& r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_34,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(U_34,U_4) ) ) ),
inference(miniscope,[status(thm)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ? [U_18] :
( ! [U_17] :
( p1(U_17)
| ~ r1(U_18,U_17) )
& r1(U_19,U_18) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ? [U_10] :
( ~ p1(U_10)
& r1(U_11,U_10) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ? [U_5] :
( p1(U_5)
& r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_34,sK1)],[f_3_4]) ).
fof(f_3_6,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ? [U_18] :
( ! [U_17] :
( p1(U_17)
| ~ r1(U_18,U_17) )
& r1(U_19,U_18) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ? [U_10] :
( ~ p1(U_10)
& r1(U_11,U_10) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2(U_7,U_6))],[f_3_5]) ).
fof(f_3_7,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ? [U_18] :
( ! [U_17] :
( p1(U_17)
| ~ r1(U_18,U_17) )
& r1(U_19,U_18) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_10,sK3(U_14,U_13,U_11))],[f_3_6]) ).
fof(f_3_8,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ? [U_20] :
( ~ p1(U_20)
& r1(U_21,U_20) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_18,sK4(U_22,U_19))],[f_3_7]) ).
fof(f_3_9,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( ? [U_25] : r1(U_26,U_25)
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_20,sK5(U_22,U_21))],[f_3_8]) ).
fof(f_3_10,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ? [U_28] :
( ~ p2(U_28)
& r1(sK1,U_28) )
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_25,sK6(U_26))],[f_3_9]) ).
fof(f_3_11,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_32] :
( ? [U_31] :
( ~ p1(U_31)
& r1(U_32,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(U_32,U_30) )
& r1(sK1,U_32) )
& ~ p2(sK7)
& r1(sK1,sK7)
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_28,sK7)],[f_3_10]) ).
fof(f_3_12,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_31] :
( ~ p1(U_31)
& r1(sK8,U_31) )
& ? [U_30] :
( ! [U_29] :
( p1(U_29)
| ~ r1(U_30,U_29) )
& r1(sK8,U_30) )
& r1(sK1,sK8)
& ~ p2(sK7)
& r1(sK1,sK7)
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_32,sK8)],[f_3_11]) ).
fof(f_3_13,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ? [U_31] :
( ~ p1(U_31)
& r1(sK8,U_31) )
& ! [U_29] :
( p1(U_29)
| ~ r1(sK9,U_29) )
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p2(sK7)
& r1(sK1,sK7)
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_30,sK9)],[f_3_12]) ).
fof(f_3_14,negated_conjecture,
( ? [U_33] :
( ~ p1(U_33)
& r1(sK1,U_33) )
& ~ p1(sK10)
& r1(sK8,sK10)
& ! [U_29] :
( p1(U_29)
| ~ r1(sK9,U_29) )
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p2(sK7)
& r1(sK1,sK7)
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_31,sK10)],[f_3_13]) ).
fof(f_3_15,negated_conjecture,
( ~ p1(sK11)
& r1(sK1,sK11)
& ~ p1(sK10)
& r1(sK8,sK10)
& ! [U_29] :
( p1(U_29)
| ~ r1(sK9,U_29) )
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p2(sK7)
& r1(sK1,sK7)
& ( ! [U_27] :
( p1(U_27)
| ~ r1(sK1,U_27) )
| ! [U_26] :
( ( r1(U_26,sK6(U_26))
& ~ $false )
| ~ r1(sK1,U_26) )
| ! [U_24] :
( p2(U_24)
| ~ r1(sK1,U_24) ) )
& ( ! [U_23] :
( p1(U_23)
| ~ r1(sK1,U_23) )
| ! [U_22] :
( ! [U_21] :
( ( ~ p1(sK5(U_22,U_21))
& r1(U_21,sK5(U_22,U_21)) )
| ~ r1(U_22,U_21) )
| ! [U_19] :
( ( ! [U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17) )
& r1(U_19,sK4(U_22,U_19)) )
| ~ r1(U_22,U_19) )
| ~ r1(sK1,U_22) )
| ! [U_16] :
( p2(U_16)
| ~ r1(sK1,U_16) ) )
& ( ! [U_15] :
( p1(U_15)
| ~ r1(sK1,U_15) )
| ! [U_14] :
( ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ! [U_11] :
( ( ~ p1(sK3(U_14,U_13,U_11))
& r1(U_11,sK3(U_14,U_13,U_11)) )
| ~ r1(U_13,U_11) )
| ~ r1(U_14,U_13) )
| ~ r1(sK1,U_14) )
| ! [U_9] :
( p2(U_9)
| ~ r1(sK1,U_9) ) )
& ( ! [U_8] :
( p1(U_8)
| ~ r1(sK1,U_8) )
| ! [U_7] :
( ~ p1(U_7)
| ! [U_6] :
( ( p1(sK2(U_7,U_6))
& r1(U_6,sK2(U_7,U_6)) )
| ~ r1(U_7,U_6) )
| ~ r1(sK1,U_7) )
| ! [U_4] :
( p2(U_4)
| ~ r1(sK1,U_4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_33,sK11)],[f_3_14]) ).
fof(f_3_16,negated_conjecture,
( ! [U_26] :
( r1(U_26,sK6(U_26))
| ~ sP4(U_26) )
& ! [U_26] :
( ~ $false
| ~ sP4(U_26) )
& ! [U_22,U_21] :
( ~ p1(sK5(U_22,U_21))
| ~ sP3(U_22,U_21) )
& ! [U_22,U_21] :
( r1(U_21,sK5(U_22,U_21))
| ~ sP3(U_22,U_21) )
& ! [U_19,U_22,U_17] :
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17)
| ~ sP2(U_19,U_22,U_17) )
& ! [U_19,U_22,U_17] :
( r1(U_19,sK4(U_22,U_19))
| ~ sP2(U_19,U_22,U_17) )
& ! [U_13,U_11,U_14] :
( ~ p1(sK3(U_14,U_13,U_11))
| ~ sP1(U_13,U_11,U_14) )
& ! [U_13,U_11,U_14] :
( r1(U_11,sK3(U_14,U_13,U_11))
| ~ sP1(U_13,U_11,U_14) )
& ! [U_6,U_7] :
( p1(sK2(U_7,U_6))
| ~ sP0(U_6,U_7) )
& ! [U_6,U_7] :
( r1(U_6,sK2(U_7,U_6))
| ~ sP0(U_6,U_7) )
& ~ p1(sK11)
& r1(sK1,sK11)
& ~ p1(sK10)
& r1(sK8,sK10)
& ! [U_29] :
( p1(U_29)
| ~ r1(sK9,U_29) )
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p2(sK7)
& r1(sK1,sK7)
& ! [U_27,U_26,U_24] :
( p1(U_27)
| ~ r1(sK1,U_27)
| sP4(U_26)
| ~ r1(sK1,U_26)
| p2(U_24)
| ~ r1(sK1,U_24) )
& ! [U_23,U_19,U_16,U_22,U_21,U_17] :
( p1(U_23)
| ~ r1(sK1,U_23)
| sP3(U_22,U_21)
| ~ r1(U_22,U_21)
| sP2(U_19,U_22,U_17)
| ~ r1(U_22,U_19)
| ~ r1(sK1,U_22)
| p2(U_16)
| ~ r1(sK1,U_16) )
& ! [U_15,U_13,U_9,U_11,U_12,U_14] :
( p1(U_15)
| ~ r1(sK1,U_15)
| p1(U_12)
| ~ r1(U_13,U_12)
| sP1(U_13,U_11,U_14)
| ~ r1(U_13,U_11)
| ~ r1(U_14,U_13)
| ~ r1(sK1,U_14)
| p2(U_9)
| ~ r1(sK1,U_9) )
& ! [U_6,U_8,U_7,U_4] :
( p1(U_8)
| ~ r1(sK1,U_8)
| ~ p1(U_7)
| sP0(U_6,U_7)
| ~ r1(U_7,U_6)
| ~ r1(sK1,U_7)
| p2(U_4)
| ~ r1(sK1,U_4) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_3_15]) ).
cnf(f_3_17,negated_conjecture,
( p1(U_8)
| ~ r1(sK1,U_8)
| ~ p1(U_7)
| sP0(U_6,U_7)
| ~ r1(U_7,U_6)
| ~ r1(sK1,U_7)
| p2(U_4)
| ~ r1(sK1,U_4) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_18,negated_conjecture,
( p1(U_15)
| ~ r1(sK1,U_15)
| p1(U_12)
| ~ r1(U_13,U_12)
| sP1(U_13,U_11,U_14)
| ~ r1(U_13,U_11)
| ~ r1(U_14,U_13)
| ~ r1(sK1,U_14)
| p2(U_9)
| ~ r1(sK1,U_9) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_19,negated_conjecture,
( p1(U_23)
| ~ r1(sK1,U_23)
| sP3(U_22,U_21)
| ~ r1(U_22,U_21)
| sP2(U_19,U_22,U_17)
| ~ r1(U_22,U_19)
| ~ r1(sK1,U_22)
| p2(U_16)
| ~ r1(sK1,U_16) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_20,negated_conjecture,
( p1(U_27)
| ~ r1(sK1,U_27)
| sP4(U_26)
| ~ r1(sK1,U_26)
| p2(U_24)
| ~ r1(sK1,U_24) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_21,negated_conjecture,
r1(sK1,sK7),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_22,negated_conjecture,
~ p2(sK7),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_23,negated_conjecture,
r1(sK1,sK8),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_24,negated_conjecture,
r1(sK8,sK9),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_25,negated_conjecture,
( p1(U_29)
| ~ r1(sK9,U_29) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_26,negated_conjecture,
r1(sK8,sK10),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_27,negated_conjecture,
~ p1(sK10),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_28,negated_conjecture,
r1(sK1,sK11),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_29,negated_conjecture,
~ p1(sK11),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_30,negated_conjecture,
( r1(U_6,sK2(U_7,U_6))
| ~ sP0(U_6,U_7) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_31,negated_conjecture,
( p1(sK2(U_7,U_6))
| ~ sP0(U_6,U_7) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_32,negated_conjecture,
( r1(U_11,sK3(U_14,U_13,U_11))
| ~ sP1(U_13,U_11,U_14) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_33,negated_conjecture,
( ~ p1(sK3(U_14,U_13,U_11))
| ~ sP1(U_13,U_11,U_14) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_34,negated_conjecture,
( r1(U_19,sK4(U_22,U_19))
| ~ sP2(U_19,U_22,U_17) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_35,negated_conjecture,
( p1(U_17)
| ~ r1(sK4(U_22,U_19),U_17)
| ~ sP2(U_19,U_22,U_17) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_36,negated_conjecture,
( r1(U_21,sK5(U_22,U_21))
| ~ sP3(U_22,U_21) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_37,negated_conjecture,
( ~ p1(sK5(U_22,U_21))
| ~ sP3(U_22,U_21) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_38,negated_conjecture,
( ~ $false
| ~ sP4(U_26) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_39,negated_conjecture,
( r1(U_26,sK6(U_26))
| ~ sP4(U_26) ),
inference(clausify,[status(thm)],[f_3_16]) ).
cnf(f_3_38_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_3_38]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+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
% 0.10/10.56 % Computer : n010.cluster.edu
% 0.10/10.56 % Model : x86_64 x86_64
% 0.10/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.56 % Memory : 8046.5625MB
% 0.10/10.56 % OS : Linux 6.8.0-71-generic
% 0.10/10.56 % CPULimit : 300
% 0.10/10.56 % WCLimit : 300
% 0.10/10.56 % DateTime : Sat Sep 19 15:38:14 UTC 2026
% 0.10/10.56 % CPUTime :
% 5.97/16.42 % SZS status Theorem for theBenchmark
% 5.97/16.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------