%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL638+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 : n015.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 08:49:34 AM UTC 2026
% Result : Theorem 0.21s 0.48s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 62 ( 28 unt; 0 def)
% Number of atoms : 530 ( 0 equ)
% Maximal formula atoms : 49 ( 8 avg)
% Number of connectives : 829 ( 361 ~; 298 |; 170 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 286 ( 0 sgn 218 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ 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] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(f_1_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( p1(X)
| ~ r1(Y,X) )
| p1(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ! [X] :
( $false
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ 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] :
( ~ ( p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_1_2,negated_conjecture,
? [X] :
( ? [Y] :
( ! [X] :
( p1(X)
| ~ r1(Y,X) )
& ~ p1(Y)
& r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ $false
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ 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] :
( ~ p1(Y)
| ! [X] :
( ? [Y] :
( p1(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p1(Y)
| ! [X] :
( ? [Y] :
( ~ p1(Y)
& 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] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(U_20,U_19) )
& ! [U_17] :
( ? [U_16] :
( ~ $false
& r1(U_17,U_16) )
| ~ r1(U_20,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(U_20,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ? [U_6] :
( p1(U_6)
& r1(U_7,U_6) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(U_20,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ? [U_3] :
( p1(U_3)
& r1(U_4,U_3) )
| ~ r1(U_5,U_4) )
| ~ r1(U_20,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ? [U_0] :
( ~ p1(U_0)
& r1(U_1,U_0) )
| ~ r1(U_2,U_1) )
| ~ r1(U_20,U_2) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_20] :
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(U_20,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(U_20,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(U_20,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ? [U_6] :
( p1(U_6)
& r1(U_7,U_6) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(U_20,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ? [U_3] :
( p1(U_3)
& r1(U_4,U_3) )
| ~ r1(U_5,U_4) )
| ~ r1(U_20,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ? [U_0] :
( ~ p1(U_0)
& r1(U_1,U_0) )
| ~ r1(U_2,U_1) )
| ~ r1(U_20,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ? [U_6] :
( p1(U_6)
& r1(U_7,U_6) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ? [U_3] :
( p1(U_3)
& r1(U_4,U_3) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ? [U_0] :
( ~ p1(U_0)
& r1(U_1,U_0) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_20,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ? [U_6] :
( p1(U_6)
& r1(U_7,U_6) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ? [U_3] :
( p1(U_3)
& r1(U_4,U_3) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_0,sK2(U_2,U_1))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ? [U_6] :
( p1(U_6)
& r1(U_7,U_6) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3(U_5,U_4))],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ? [U_10] :
( ! [U_9] :
( ~ p1(U_9)
| ~ r1(U_10,U_9) )
& r1(U_11,U_10) )
| ! [U_8] :
( ! [U_7] :
( ( p1(sK4(U_11,U_8,U_7))
& r1(U_7,sK4(U_11,U_8,U_7)) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_6,sK4(U_11,U_8,U_7))],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ? [U_14] :
( ~ p1(U_14)
& r1(U_15,U_14) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ( ! [U_9] :
( ~ p1(U_9)
| ~ r1(sK5(U_11),U_9) )
& r1(U_11,sK5(U_11)) )
| ! [U_8] :
( ! [U_7] :
( ( p1(sK4(U_11,U_8,U_7))
& r1(U_7,sK4(U_11,U_8,U_7)) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_10,sK5(U_11))],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( ? [U_16] : r1(U_17,U_16)
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ( ~ p1(sK6(U_15))
& r1(U_15,sK6(U_15)) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ( ! [U_9] :
( ~ p1(U_9)
| ~ r1(sK5(U_11),U_9) )
& r1(U_11,sK5(U_11)) )
| ! [U_8] :
( ! [U_7] :
( ( p1(sK4(U_11,U_8,U_7))
& r1(U_7,sK4(U_11,U_8,U_7)) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_14,sK6(U_15))],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ? [U_19] :
( ! [U_18] :
( p1(U_18)
| ~ r1(U_19,U_18) )
& ~ p1(U_19)
& r1(sK1,U_19) )
& ! [U_17] :
( ( r1(U_17,sK7(U_17))
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ( ~ p1(sK6(U_15))
& r1(U_15,sK6(U_15)) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ( ! [U_9] :
( ~ p1(U_9)
| ~ r1(sK5(U_11),U_9) )
& r1(U_11,sK5(U_11)) )
| ! [U_8] :
( ! [U_7] :
( ( p1(sK4(U_11,U_8,U_7))
& r1(U_7,sK4(U_11,U_8,U_7)) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_16,sK7(U_17))],[f_1_10]) ).
fof(f_1_12,negated_conjecture,
( ! [U_18] :
( p1(U_18)
| ~ r1(sK8,U_18) )
& ~ p1(sK8)
& r1(sK1,sK8)
& ! [U_17] :
( ( r1(U_17,sK7(U_17))
& ~ $false )
| ~ r1(sK1,U_17) )
& ! [U_15] :
( ( ~ p1(sK6(U_15))
& r1(U_15,sK6(U_15)) )
| ! [U_13] :
( ! [U_12] :
( p1(U_12)
| ~ r1(U_13,U_12) )
| ~ r1(U_15,U_13) )
| ~ r1(sK1,U_15) )
& ! [U_11] :
( ( ! [U_9] :
( ~ p1(U_9)
| ~ r1(sK5(U_11),U_9) )
& r1(U_11,sK5(U_11)) )
| ! [U_8] :
( ! [U_7] :
( ( p1(sK4(U_11,U_8,U_7))
& r1(U_7,sK4(U_11,U_8,U_7)) )
| ~ r1(U_8,U_7) )
| ~ r1(U_11,U_8) )
| ~ r1(sK1,U_11) )
& ! [U_5] :
( ~ p1(U_5)
| ! [U_4] :
( ( p1(sK3(U_5,U_4))
& r1(U_4,sK3(U_5,U_4)) )
| ~ r1(U_5,U_4) )
| ~ r1(sK1,U_5) )
& ! [U_2] :
( p1(U_2)
| ! [U_1] :
( ( ~ p1(sK2(U_2,U_1))
& r1(U_1,sK2(U_2,U_1)) )
| ~ r1(U_2,U_1) )
| ~ r1(sK1,U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_19,sK8)],[f_1_11]) ).
fof(f_1_13,negated_conjecture,
( ! [U_17] :
( r1(U_17,sK7(U_17))
| ~ sP5(U_17) )
& ! [U_17] :
( ~ $false
| ~ sP5(U_17) )
& ! [U_15] :
( ~ p1(sK6(U_15))
| ~ sP4(U_15) )
& ! [U_15] :
( r1(U_15,sK6(U_15))
| ~ sP4(U_15) )
& ! [U_9,U_11] :
( ~ p1(U_9)
| ~ r1(sK5(U_11),U_9)
| ~ sP3(U_9,U_11) )
& ! [U_9,U_11] :
( r1(U_11,sK5(U_11))
| ~ sP3(U_9,U_11) )
& ! [U_7,U_8,U_11] :
( p1(sK4(U_11,U_8,U_7))
| ~ sP2(U_7,U_8,U_11) )
& ! [U_7,U_8,U_11] :
( r1(U_7,sK4(U_11,U_8,U_7))
| ~ sP2(U_7,U_8,U_11) )
& ! [U_4,U_5] :
( p1(sK3(U_5,U_4))
| ~ sP1(U_4,U_5) )
& ! [U_4,U_5] :
( r1(U_4,sK3(U_5,U_4))
| ~ sP1(U_4,U_5) )
& ! [U_1,U_2] :
( ~ p1(sK2(U_2,U_1))
| ~ sP0(U_1,U_2) )
& ! [U_1,U_2] :
( r1(U_1,sK2(U_2,U_1))
| ~ sP0(U_1,U_2) )
& ! [U_18] :
( p1(U_18)
| ~ r1(sK8,U_18) )
& ~ p1(sK8)
& r1(sK1,sK8)
& ! [U_17] :
( sP5(U_17)
| ~ r1(sK1,U_17) )
& ! [U_12,U_15,U_13] :
( sP4(U_15)
| p1(U_12)
| ~ r1(U_13,U_12)
| ~ r1(U_15,U_13)
| ~ r1(sK1,U_15) )
& ! [U_7,U_8,U_9,U_11] :
( sP3(U_9,U_11)
| sP2(U_7,U_8,U_11)
| ~ r1(U_8,U_7)
| ~ r1(U_11,U_8)
| ~ r1(sK1,U_11) )
& ! [U_4,U_5] :
( ~ p1(U_5)
| sP1(U_4,U_5)
| ~ r1(U_5,U_4)
| ~ r1(sK1,U_5) )
& ! [U_1,U_2] :
( p1(U_2)
| sP0(U_1,U_2)
| ~ r1(U_2,U_1)
| ~ r1(sK1,U_2) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4,sP5])],[f_1_12]) ).
cnf(f_1_14,negated_conjecture,
( p1(U_2)
| sP0(U_1,U_2)
| ~ r1(U_2,U_1)
| ~ r1(sK1,U_2) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_17,negated_conjecture,
( sP4(U_15)
| p1(U_12)
| ~ r1(U_13,U_12)
| ~ r1(U_15,U_13)
| ~ r1(sK1,U_15) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_18,negated_conjecture,
( sP5(U_17)
| ~ r1(sK1,U_17) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_19,negated_conjecture,
r1(sK1,sK8),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_20,negated_conjecture,
~ p1(sK8),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_21,negated_conjecture,
( p1(U_18)
| ~ r1(sK8,U_18) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_22,negated_conjecture,
( r1(U_1,sK2(U_2,U_1))
| ~ sP0(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_23,negated_conjecture,
( ~ p1(sK2(U_2,U_1))
| ~ sP0(U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_30,negated_conjecture,
( r1(U_15,sK6(U_15))
| ~ sP4(U_15) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_31,negated_conjecture,
( ~ p1(sK6(U_15))
| ~ sP4(U_15) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(f_1_33,negated_conjecture,
( r1(U_17,sK7(U_17))
| ~ sP5(U_17) ),
inference(clausify,[status(thm)],[f_1_13]) ).
cnf(t1,plain,
( ~ p1(sK2(sK8,sK7(sK8)))
| ~ sP0(sK7(sK8),sK8) ),
inference(start,[status(thm),parent(0:0)],[f_1_23]) ).
cnf(t2,plain,
( ~ r1(sK8,sK7(sK8))
| p1(sK8)
| ~ r1(sK1,sK8)
| sP0(sK7(sK8),sK8) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
r1(sK1,sK8),
inference(extension,[status(thm),parent(t2:2)],[f_1_19]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
r1(sK1,sK8),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
~ p1(sK8),
inference(extension,[status(thm),parent(t2:3)],[f_1_20]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ sP5(sK8)
| r1(sK8,sK7(sK8)) ),
inference(extension,[status(thm),parent(t2:4)],[f_1_33]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
( ~ r1(sK1,sK8)
| sP5(sK8) ),
inference(extension,[status(thm),parent(t8:2)],[f_1_18]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
r1(sK1,sK8),
inference(lemma_extension,[status(thm),parent(t10:2)],[l2:1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(l1,lemma,
sP0(sK7(sK8),sK8),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t14,plain,
( ~ r1(sK8,sK7(sK8))
| ~ r1(sK7(sK8),sK2(sK8,sK7(sK8)))
| sP4(sK8)
| ~ r1(sK1,sK8)
| p1(sK2(sK8,sK7(sK8))) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_17]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:2]) ).
cnf(t16,plain,
r1(sK1,sK8),
inference(extension,[status(thm),parent(t14:2)],[f_1_19]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(l7,lemma,
r1(sK1,sK8),
inference(lemma,[status(cth),parent(t14:2),below(t1:2)],[t14:2]) ).
cnf(t18,plain,
( ~ p1(sK6(sK8))
| ~ sP4(sK8) ),
inference(extension,[status(thm),parent(t14:3)],[f_1_31]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ r1(sK8,sK6(sK8))
| p1(sK6(sK8)) ),
inference(extension,[status(thm),parent(t18:2)],[f_1_21]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ sP4(sK8)
| r1(sK8,sK6(sK8)) ),
inference(extension,[status(thm),parent(t20:2)],[f_1_30]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
$false,
inference(reduction,[status(thm),parent(t22:2)],[t22:2,t14:3]) ).
cnf(t25,plain,
( ~ sP0(sK7(sK8),sK8)
| r1(sK7(sK8),sK2(sK8,sK7(sK8))) ),
inference(extension,[status(thm),parent(t14:4)],[f_1_22]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t14:4]) ).
cnf(t27,plain,
sP0(sK7(sK8),sK8),
inference(lemma_extension,[status(thm),parent(t25:2)],[l1:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
( ~ sP5(sK8)
| r1(sK8,sK7(sK8)) ),
inference(extension,[status(thm),parent(t14:5)],[f_1_33]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t14:5]) ).
cnf(t31,plain,
( ~ r1(sK1,sK8)
| sP5(sK8) ),
inference(extension,[status(thm),parent(t29:2)],[f_1_18]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
r1(sK1,sK8),
inference(lemma_extension,[status(thm),parent(t31:2)],[l7:1]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t31:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL638+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
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 15:23:03 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------