%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% 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 09:10:14 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 177 ( 61 ~; 48 |; 57 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 187 ( 2 sgn 126 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2138,conjecture,
( ( ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(B,Z)
& big_f(A,Y) )
=> big_d(Y,Z,E) ) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [X] :
? [Y] : big_f(X,Y) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
file('theBenchmark.p',x2138) ).
fof(f_1_1,negated_conjecture,
( ~ ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(B,Z)
& big_f(A,Y) )
=> big_d(Y,Z,E) ) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [X] :
? [Y] : big_f(X,Y) ),
inference(negate,[status(cth)],[x2138]) ).
fof(f_1_2,negated_conjecture,
( ! [Y] :
? [E] :
! [M] :
? [W] :
( ? [Z] :
( ~ big_d(Z,Y,E)
& big_f(W,Z) )
& big_s(M,W) )
& ! [E] :
? [D] :
! [A,B] :
( ! [Y,Z] :
( big_d(Y,Z,E)
| ~ big_f(B,Z)
| ~ big_f(A,Y) )
| ~ big_d(A,B,D) )
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_d(W,X,E)
| ~ big_s(N,W) )
& ! [X] :
? [Y] : big_f(X,Y) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_16] :
? [U_15] :
! [U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,U_15)
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11] :
? [U_10] :
! [U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,U_10) )
& ? [U_5] :
! [U_4] :
? [U_3] :
! [U_2] :
( big_d(U_2,U_5,U_4)
| ~ big_s(U_3,U_2) )
& ! [U_1] :
? [U_0] : big_f(U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_16] :
? [U_15] :
! [U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,U_15)
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11] :
? [U_10] :
! [U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,U_10) )
& ? [U_5] :
! [U_4] :
? [U_3] :
! [U_2] :
( big_d(U_2,U_5,U_4)
| ~ big_s(U_3,U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1(U_1))],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_16] :
? [U_15] :
! [U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,U_15)
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11] :
? [U_10] :
! [U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,U_10) )
& ! [U_4] :
? [U_3] :
! [U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(U_3,U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_16] :
? [U_15] :
! [U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,U_15)
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11] :
? [U_10] :
! [U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,U_10) )
& ! [U_4,U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3(U_4))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_16] :
? [U_15] :
! [U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,U_15)
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11,U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,sK4(U_11)) )
& ! [U_4,U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_10,sK4(U_11))],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ! [U_16,U_14] :
? [U_13] :
( ? [U_12] :
( ~ big_d(U_12,U_16,sK5(U_16))
& big_f(U_13,U_12) )
& big_s(U_14,U_13) )
& ! [U_11,U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,sK4(U_11)) )
& ! [U_4,U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_15,sK5(U_16))],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ! [U_16,U_14] :
( ? [U_12] :
( ~ big_d(U_12,U_16,sK5(U_16))
& big_f(sK6(U_16,U_14),U_12) )
& big_s(U_14,sK6(U_16,U_14)) )
& ! [U_11,U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,sK4(U_11)) )
& ! [U_4,U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_13,sK6(U_16,U_14))],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ! [U_16,U_14] :
( ~ big_d(sK7(U_16,U_14),U_16,sK5(U_16))
& big_f(sK6(U_16,U_14),sK7(U_16,U_14))
& big_s(U_14,sK6(U_16,U_14)) )
& ! [U_11,U_9,U_8] :
( ! [U_7,U_6] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7) )
| ~ big_d(U_9,U_8,sK4(U_11)) )
& ! [U_4,U_2] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_12,sK7(U_16,U_14))],[f_1_9]) ).
fof(f_1_11,negated_conjecture,
( ! [U_16,U_14] : ~ big_d(sK7(U_16,U_14),U_16,sK5(U_16))
& ! [U_16,U_14] : big_f(sK6(U_16,U_14),sK7(U_16,U_14))
& ! [U_16,U_14] : big_s(U_14,sK6(U_16,U_14))
& ! [U_9,U_11,U_6,U_8,U_7] :
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7)
| ~ big_d(U_9,U_8,sK4(U_11)) )
& ! [U_2,U_4] :
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) )
& ! [U_1] : big_f(U_1,sK1(U_1)) ),
inference(definitional_conversion,[status(esa)],[f_1_10]) ).
cnf(f_1_12,negated_conjecture,
big_f(U_1,sK1(U_1)),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_13,negated_conjecture,
( big_d(U_2,sK2,U_4)
| ~ big_s(sK3(U_4),U_2) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_14,negated_conjecture,
( big_d(U_7,U_6,U_11)
| ~ big_f(U_8,U_6)
| ~ big_f(U_9,U_7)
| ~ big_d(U_9,U_8,sK4(U_11)) ),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_15,negated_conjecture,
big_s(U_14,sK6(U_16,U_14)),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_16,negated_conjecture,
big_f(sK6(U_16,U_14),sK7(U_16,U_14)),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(f_1_17,negated_conjecture,
~ big_d(sK7(U_16,U_14),U_16,sK5(U_16)),
inference(clausify,[status(thm)],[f_1_11]) ).
cnf(t1,plain,
~ big_d(sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK1(sK2),sK5(sK1(sK2))),
inference(start,[status(thm),parent(0:0)],[f_1_17]) ).
cnf(t2,plain,
( ~ big_f(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))))
| ~ big_f(sK2,sK1(sK2))
| ~ big_d(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK2,sK4(sK5(sK1(sK2))))
| big_d(sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK1(sK2),sK5(sK1(sK2))) ),
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,
( ~ big_s(sK3(sK4(sK5(sK1(sK2)))),sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))))
| big_d(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK2,sK4(sK5(sK1(sK2)))) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_13]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
big_s(sK3(sK4(sK5(sK1(sK2)))),sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2)))))),
inference(extension,[status(thm),parent(t4:2)],[f_1_15]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
big_f(sK2,sK1(sK2)),
inference(extension,[status(thm),parent(t2:3)],[f_1_12]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
big_f(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2)))))),
inference(extension,[status(thm),parent(t2:4)],[f_1_16]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 06:28:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------