%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN360+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 : n011.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 09:10:10 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 8 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 51 ( 2 sgn 34 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2111,conjecture,
( ( ! [Z] :
? [Y] : big_p(Z,Y)
& ! [X] :
( ? [Y] : big_p(X,Y)
=> ! [Y] : big_q(X,Y) ) )
=> ! [Y,X] : big_q(X,Y) ),
file('theBenchmark.p',x2111) ).
fof(f_1_1,negated_conjecture,
( ~ ! [Y,X] : big_q(X,Y)
& ! [Z] :
? [Y] : big_p(Z,Y)
& ! [X] :
( ? [Y] : big_p(X,Y)
=> ! [Y] : big_q(X,Y) ) ),
inference(negate,[status(cth)],[x2111]) ).
fof(f_1_2,negated_conjecture,
( ? [Y,X] : ~ big_q(X,Y)
& ! [Z] :
? [Y] : big_p(Z,Y)
& ! [X] :
( ! [Y] : big_q(X,Y)
| ! [Y] : ~ big_p(X,Y) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ? [U_6,U_5] : ~ big_q(U_5,U_6)
& ! [U_4] :
? [U_3] : big_p(U_4,U_3)
& ! [U_2] :
( ! [U_1] : big_q(U_2,U_1)
| ! [U_0] : ~ big_p(U_2,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_6,U_5] : ~ big_q(U_5,U_6)
& ! [U_4] : big_p(U_4,sK1(U_4))
& ! [U_2] :
( ! [U_1] : big_q(U_2,U_1)
| ! [U_0] : ~ big_p(U_2,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1(U_4))],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_5] : ~ big_q(U_5,sK2)
& ! [U_4] : big_p(U_4,sK1(U_4))
& ! [U_2] :
( ! [U_1] : big_q(U_2,U_1)
| ! [U_0] : ~ big_p(U_2,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ~ big_q(sK3,sK2)
& ! [U_4] : big_p(U_4,sK1(U_4))
& ! [U_2] :
( ! [U_1] : big_q(U_2,U_1)
| ! [U_0] : ~ big_p(U_2,U_0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ~ big_q(sK3,sK2)
& ! [U_4] : big_p(U_4,sK1(U_4))
& ! [U_0,U_1,U_2] :
( big_q(U_2,U_1)
| ~ big_p(U_2,U_0) ) ),
inference(definitional_conversion,[status(esa)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( big_q(U_2,U_1)
| ~ big_p(U_2,U_0) ),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
big_p(U_4,sK1(U_4)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
~ big_q(sK3,sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(t1,plain,
~ big_q(sK3,sK2),
inference(start,[status(thm),parent(0:0)],[f_1_10]) ).
cnf(t2,plain,
( ~ big_p(sK3,sK1(sK3))
| big_q(sK3,sK2) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
big_p(sK3,sK1(sK3)),
inference(extension,[status(thm),parent(t2:2)],[f_1_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN360+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 : n011.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 06:29:24 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
%------------------------------------------------------------------------------