%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL682+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 : n002.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 08:49:52 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 319 ( 0 equ)
% Maximal formula atoms : 26 ( 11 avg)
% Number of connectives : 452 ( 161 ~; 110 |; 181 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-5 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 178 ( 13 sgn 106 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('theBenchmark.p',main) ).
fof(f_3_1,negated_conjecture,
? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negate,[status(cth)],[main]) ).
fof(f_3_2,negated_conjecture,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p11(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p12(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p13(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p15(X)
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p14(X)
| ~ r1(Y,X) )
& ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
? [U_17] :
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(U_17,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(U_17,U_14) )
& ? [U_12] :
( ? [U_11] :
( ~ p13(U_11)
& r1(U_12,U_11) )
& r1(U_17,U_12) )
& ? [U_10] :
( ? [U_9] :
( ~ p15(U_9)
& r1(U_10,U_9) )
& r1(U_17,U_10) )
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(U_17,U_8) ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(sK1,U_14) )
& ? [U_12] :
( ? [U_11] :
( ~ p13(U_11)
& r1(U_12,U_11) )
& r1(sK1,U_12) )
& ? [U_10] :
( ? [U_9] :
( ~ p15(U_9)
& r1(U_10,U_9) )
& r1(sK1,U_10) )
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_17,sK1)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(sK1,U_14) )
& ? [U_12] :
( ? [U_11] :
( ~ p13(U_11)
& r1(U_12,U_11) )
& r1(sK1,U_12) )
& ? [U_9] :
( ~ p15(U_9)
& r1(sK2,U_9) )
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_10,sK2)],[f_3_4]) ).
fof(f_3_6,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(sK1,U_14) )
& ? [U_12] :
( ? [U_11] :
( ~ p13(U_11)
& r1(U_12,U_11) )
& r1(sK1,U_12) )
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_9,sK3)],[f_3_5]) ).
fof(f_3_7,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(sK1,U_14) )
& ? [U_11] :
( ~ p13(U_11)
& r1(sK4,U_11) )
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_12,sK4)],[f_3_6]) ).
fof(f_3_8,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_14] :
( ? [U_13] :
( ~ p12(U_13)
& r1(U_14,U_13) )
& r1(sK1,U_14) )
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_11,sK5)],[f_3_7]) ).
fof(f_3_9,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ? [U_13] :
( ~ p12(U_13)
& r1(sK6,U_13) )
& r1(sK1,sK6)
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_14,sK6)],[f_3_8]) ).
fof(f_3_10,negated_conjecture,
( ? [U_16] :
( ? [U_15] :
( ~ p11(U_15)
& r1(U_16,U_15) )
& r1(sK1,U_16) )
& ~ p12(sK7)
& r1(sK6,sK7)
& r1(sK1,sK6)
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_13,sK7)],[f_3_9]) ).
fof(f_3_11,negated_conjecture,
( ? [U_15] :
( ~ p11(U_15)
& r1(sK8,U_15) )
& r1(sK1,sK8)
& ~ p12(sK7)
& r1(sK6,sK7)
& r1(sK1,sK6)
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_16,sK8)],[f_3_10]) ).
fof(f_3_12,negated_conjecture,
( ~ p11(sK9)
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p12(sK7)
& r1(sK6,sK7)
& r1(sK1,sK6)
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_8] :
( ( ! [U_7] :
( p12(U_7)
| ~ r1(U_8,U_7) )
& ! [U_6] :
( p14(U_6)
| ~ r1(U_8,U_6) )
& ! [U_5] :
( p12(U_5)
| ~ r1(U_8,U_5) )
& ! [U_4] :
( p16(U_4)
| ~ r1(U_8,U_4) ) )
| ~ r1(sK1,U_8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_15,sK9)],[f_3_11]) ).
fof(f_3_13,negated_conjecture,
( ! [U_4,U_8,U_7,U_6,U_5] :
( p12(U_7)
| ~ r1(U_8,U_7)
| ~ sP0(U_4,U_8,U_7,U_6,U_5) )
& ! [U_4,U_8,U_7,U_6,U_5] :
( p14(U_6)
| ~ r1(U_8,U_6)
| ~ sP0(U_4,U_8,U_7,U_6,U_5) )
& ! [U_4,U_8,U_7,U_6,U_5] :
( p12(U_5)
| ~ r1(U_8,U_5)
| ~ sP0(U_4,U_8,U_7,U_6,U_5) )
& ! [U_4,U_8,U_7,U_6,U_5] :
( p16(U_4)
| ~ r1(U_8,U_4)
| ~ sP0(U_4,U_8,U_7,U_6,U_5) )
& ~ p11(sK9)
& r1(sK8,sK9)
& r1(sK1,sK8)
& ~ p12(sK7)
& r1(sK6,sK7)
& r1(sK1,sK6)
& ~ p13(sK5)
& r1(sK4,sK5)
& r1(sK1,sK4)
& ~ p15(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& ! [U_4,U_8,U_7,U_6,U_5] :
( sP0(U_4,U_8,U_7,U_6,U_5)
| ~ r1(sK1,U_8) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_3_12]) ).
cnf(f_3_14,negated_conjecture,
( sP0(U_4,U_8,U_7,U_6,U_5)
| ~ r1(sK1,U_8) ),
inference(clausify,[status(thm)],[f_3_13]) ).
cnf(f_3_21,negated_conjecture,
r1(sK1,sK6),
inference(clausify,[status(thm)],[f_3_13]) ).
cnf(f_3_22,negated_conjecture,
r1(sK6,sK7),
inference(clausify,[status(thm)],[f_3_13]) ).
cnf(f_3_23,negated_conjecture,
~ p12(sK7),
inference(clausify,[status(thm)],[f_3_13]) ).
cnf(f_3_30,negated_conjecture,
( p12(U_7)
| ~ r1(U_8,U_7)
| ~ sP0(U_4,U_8,U_7,U_6,U_5) ),
inference(clausify,[status(thm)],[f_3_13]) ).
cnf(t1,plain,
~ p12(sK7),
inference(start,[status(thm),parent(0:0)],[f_3_23]) ).
cnf(t2,plain,
( ~ r1(sK6,sK7)
| ~ sP0(U_172,sK6,sK7,U_174,U_175)
| p12(sK7) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_30]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ r1(sK1,sK6)
| sP0(U_172,sK6,sK7,U_174,U_175) ),
inference(extension,[status(thm),parent(t2:2)],[f_3_14]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
r1(sK1,sK6),
inference(extension,[status(thm),parent(t4:2)],[f_3_21]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
r1(sK6,sK7),
inference(extension,[status(thm),parent(t2:3)],[f_3_22]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 15:46:00 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------