%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL650+1.001 : 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 : n007.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 08:49:41 AM UTC 2026
% Result : Theorem 0.14s 5.52s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(f_1_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_1_2,negated_conjecture,
? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( ~ p1(X)
| ~ p2(X)
| ~ p3(X)
| ~ p4(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p1(X) )
& ( p1(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( p2(X)
| p4(X)
| p6(X)
| p8(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_20] :
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(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) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(U_20,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(U_20,U_4) )
& ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ( p2(U_0)
| p4(U_0)
| p6(U_0)
| p8(U_0) )
& r1(U_1,U_0) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(U_20,U_3) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(sK1,U_4) )
& ? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ( p2(U_0)
| p4(U_0)
| p6(U_0)
| p8(U_0) )
& r1(U_1,U_0) )
& r1(U_2,U_1) )
& r1(U_3,U_2) )
& r1(sK1,U_3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_20,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(sK1,U_4) )
& ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ( p2(U_0)
| p4(U_0)
| p6(U_0)
| p8(U_0) )
& r1(U_1,U_0) )
& r1(U_2,U_1) )
& r1(sK2,U_2) )
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(sK1,U_4) )
& ? [U_1] :
( ? [U_0] :
( ( p2(U_0)
| p4(U_0)
| p6(U_0)
| p8(U_0) )
& r1(U_1,U_0) )
& r1(sK3,U_1) )
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_2,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(sK1,U_4) )
& ? [U_0] :
( ( p2(U_0)
| p4(U_0)
| p6(U_0)
| p8(U_0) )
& r1(sK4,U_0) )
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_1,sK4)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ? [U_4] :
( ~ p5(U_4)
& r1(sK1,U_4) )
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_0,sK5)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ? [U_8] :
( ~ p4(U_8)
& r1(U_15,U_8) )
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_4,sK6)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ? [U_11] :
( ~ p3(U_11)
& r1(U_14,U_11) )
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_8,sK7(U_15))],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ? [U_19] :
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(U_19,U_18) )
& r1(sK1,U_19) )
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ~ p3(sK8(U_15,U_14))
& r1(U_14,sK8(U_15,U_14))
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_11,sK8(U_15,U_14))],[f_1_10]) ).
fof(f_1_12,negated_conjecture,
( ? [U_18] :
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(U_18,U_17) )
& r1(sK9,U_18) )
& r1(sK1,sK9)
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ~ p3(sK8(U_15,U_14))
& r1(U_14,sK8(U_15,U_14))
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_19,sK9)],[f_1_11]) ).
fof(f_1_13,negated_conjecture,
( ? [U_17] :
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(U_17,U_16) )
& r1(sK10,U_17) )
& r1(sK9,sK10)
& r1(sK1,sK9)
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ~ p3(sK8(U_15,U_14))
& r1(U_14,sK8(U_15,U_14))
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_18,sK10)],[f_1_12]) ).
fof(f_1_14,negated_conjecture,
( ? [U_16] :
( ( ~ p1(U_16)
| ~ p2(U_16)
| ~ p3(U_16)
| ~ p4(U_16) )
& r1(sK11,U_16) )
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK1,sK9)
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ~ p3(sK8(U_15,U_14))
& r1(U_14,sK8(U_15,U_14))
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_17,sK11)],[f_1_13]) ).
fof(f_1_15,negated_conjecture,
( ( ~ p1(sK12)
| ~ p2(sK12)
| ~ p3(sK12)
| ~ p4(sK12) )
& r1(sK11,sK12)
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK1,sK9)
& ! [U_15] :
( ( ! [U_14] :
( ( ! [U_13] :
( ! [U_12] :
( ( ( ~ p1(U_12)
| ~ p2(U_12) )
& ( p2(U_12)
| p1(U_12) ) )
| ~ r1(U_13,U_12) )
| ~ r1(U_14,U_13) )
& ~ p3(sK8(U_15,U_14))
& r1(U_14,sK8(U_15,U_14))
& ! [U_10] :
( ! [U_9] :
( ( ( ~ p2(U_9)
| ~ p3(U_9) )
& ( p3(U_9)
| p2(U_9) ) )
| ~ r1(U_10,U_9) )
| ~ r1(U_14,U_10) ) )
| ~ r1(U_15,U_14) )
& ~ p4(sK7(U_15))
& r1(U_15,sK7(U_15))
& ! [U_7] :
( ! [U_6] :
( ! [U_5] :
( ( ( ~ p3(U_5)
| ~ p1(U_5) )
& ( p1(U_5)
| p3(U_5) ) )
| ~ r1(U_6,U_5) )
| ~ r1(U_7,U_6) )
| ~ r1(U_15,U_7) ) )
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& r1(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_16,sK12)],[f_1_14]) ).
fof(f_1_16,negated_conjecture,
( ! [U_12] :
( ~ p1(U_12)
| ~ p2(U_12)
| ~ sP2(U_12) )
& ! [U_12] :
( p2(U_12)
| p1(U_12)
| ~ sP2(U_12) )
& ! [U_9] :
( ~ p2(U_9)
| ~ p3(U_9)
| ~ sP1(U_9) )
& ! [U_9] :
( p3(U_9)
| p2(U_9)
| ~ sP1(U_9) )
& ! [U_14,U_10,U_9,U_15,U_13,U_12] :
( sP2(U_12)
| ~ r1(U_13,U_12)
| ~ r1(U_14,U_13)
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) )
& ! [U_14,U_10,U_9,U_15,U_13,U_12] :
( ~ p3(sK8(U_15,U_14))
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) )
& ! [U_14,U_10,U_9,U_15,U_13,U_12] :
( r1(U_14,sK8(U_15,U_14))
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) )
& ! [U_14,U_10,U_9,U_15,U_13,U_12] :
( sP1(U_9)
| ~ r1(U_10,U_9)
| ~ r1(U_14,U_10)
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) )
& ! [U_5] :
( ~ p3(U_5)
| ~ p1(U_5)
| ~ sP0(U_5) )
& ! [U_5] :
( p1(U_5)
| p3(U_5)
| ~ sP0(U_5) )
& ! [U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12] :
( sP3(U_14,U_10,U_9,U_15,U_13,U_12)
| ~ r1(U_15,U_14)
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) )
& ! [U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12] :
( ~ p4(sK7(U_15))
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) )
& ! [U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12] :
( r1(U_15,sK7(U_15))
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) )
& ! [U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12] :
( sP0(U_5)
| ~ r1(U_6,U_5)
| ~ r1(U_7,U_6)
| ~ r1(U_15,U_7)
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) )
& ( ~ p1(sK12)
| ~ p2(sK12)
| ~ p3(sK12)
| ~ p4(sK12) )
& r1(sK11,sK12)
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK1,sK9)
& ! [U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12] :
( sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12)
| ~ r1(sK1,U_15) )
& ~ p5(sK6)
& r1(sK1,sK6)
& ( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) )
& 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])],[f_1_15]) ).
cnf(f_1_17,negated_conjecture,
r1(sK1,sK2),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_18,negated_conjecture,
r1(sK2,sK3),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_19,negated_conjecture,
r1(sK3,sK4),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_20,negated_conjecture,
r1(sK4,sK5),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_21,negated_conjecture,
( p2(sK5)
| p4(sK5)
| p6(sK5)
| p8(sK5) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_22,negated_conjecture,
r1(sK1,sK6),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_23,negated_conjecture,
~ p5(sK6),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_24,negated_conjecture,
( sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12)
| ~ r1(sK1,U_15) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_25,negated_conjecture,
r1(sK1,sK9),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_26,negated_conjecture,
r1(sK9,sK10),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_27,negated_conjecture,
r1(sK10,sK11),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_28,negated_conjecture,
r1(sK11,sK12),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_29,negated_conjecture,
( ~ p1(sK12)
| ~ p2(sK12)
| ~ p3(sK12)
| ~ p4(sK12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_30,negated_conjecture,
( sP0(U_5)
| ~ r1(U_6,U_5)
| ~ r1(U_7,U_6)
| ~ r1(U_15,U_7)
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_31,negated_conjecture,
( r1(U_15,sK7(U_15))
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_32,negated_conjecture,
( ~ p4(sK7(U_15))
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_33,negated_conjecture,
( sP3(U_14,U_10,U_9,U_15,U_13,U_12)
| ~ r1(U_15,U_14)
| ~ sP4(U_14,U_6,U_10,U_9,U_5,U_7,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_34,negated_conjecture,
( p1(U_5)
| p3(U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_35,negated_conjecture,
( ~ p3(U_5)
| ~ p1(U_5)
| ~ sP0(U_5) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_36,negated_conjecture,
( sP1(U_9)
| ~ r1(U_10,U_9)
| ~ r1(U_14,U_10)
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_37,negated_conjecture,
( r1(U_14,sK8(U_15,U_14))
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_38,negated_conjecture,
( ~ p3(sK8(U_15,U_14))
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_39,negated_conjecture,
( sP2(U_12)
| ~ r1(U_13,U_12)
| ~ r1(U_14,U_13)
| ~ sP3(U_14,U_10,U_9,U_15,U_13,U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_40,negated_conjecture,
( p3(U_9)
| p2(U_9)
| ~ sP1(U_9) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_41,negated_conjecture,
( ~ p2(U_9)
| ~ p3(U_9)
| ~ sP1(U_9) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_42,negated_conjecture,
( p2(U_12)
| p1(U_12)
| ~ sP2(U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(f_1_43,negated_conjecture,
( ~ p1(U_12)
| ~ p2(U_12)
| ~ sP2(U_12) ),
inference(clausify,[status(thm)],[f_1_16]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL650+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 15:22:54 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.14/5.52 % SZS status Theorem for theBenchmark
% 0.14/5.52 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------