%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n009.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 09:10:59 AM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 53 ( 21 ~; 8 |; 19 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 60 ( 2 sgn 42 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x3411,conjecture,
( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( q(W,Z)
| p(Z,W) ) ) ),
file('theBenchmark.p',x3411) ).
fof(f_1_1,negated_conjecture,
( ~ ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( q(W,Z)
| p(Z,W) ) )
& ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) ) ),
inference(negate,[status(cth)],[x3411]) ).
fof(f_1_2,negated_conjecture,
( ! [Z] :
( ! [W] :
( ~ q(W,Z)
& ~ p(Z,W) )
& ? [V] : p(V,Z) )
& ! [Y] :
( ! [U] : q(U,Y)
| ? [X] : ~ p(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_5] :
( ! [U_4] :
( ~ q(U_4,U_5)
& ~ p(U_5,U_4) )
& ? [U_3] : p(U_3,U_5) )
& ! [U_2] :
( ! [U_1] : q(U_1,U_2)
| ? [U_0] : ~ p(U_0,U_2) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_11,U_7] : ~ q(U_7,U_11)
& ! [U_10,U_6] : ~ p(U_10,U_6)
& ! [U_8] :
? [U_3] : p(U_3,U_8)
& ! [U_2] :
( ! [U_1] : q(U_1,U_2)
| ? [U_0] : ~ p(U_0,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_11,U_7] : ~ q(U_7,U_11)
& ! [U_10,U_6] : ~ p(U_10,U_6)
& ! [U_8] :
? [U_3] : p(U_3,U_8)
& ! [U_2] :
( ! [U_1] : q(U_1,U_2)
| ~ p(sK1(U_2),U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1(U_2))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_11,U_7] : ~ q(U_7,U_11)
& ! [U_10,U_6] : ~ p(U_10,U_6)
& ! [U_8] : p(sK2(U_8),U_8)
& ! [U_2] :
( ! [U_1] : q(U_1,U_2)
| ~ p(sK1(U_2),U_2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2(U_8))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_7,U_11] : ~ q(U_7,U_11)
& ! [U_6,U_10] : ~ p(U_10,U_6)
& ! [U_8] : p(sK2(U_8),U_8)
& ! [U_2,U_1] :
( q(U_1,U_2)
| ~ p(sK1(U_2),U_2) ) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
p(sK2(U_8),U_8),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
~ p(U_10,U_6),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(t1,plain,
~ p(sK2(U_49),U_49),
inference(start,[status(thm),parent(0:0)],[f_1_10]) ).
cnf(t2,plain,
p(sK2(U_49),U_49),
inference(extension,[status(thm),parent(t1:1)],[f_1_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 07:07:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------