%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN055+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : 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 09:09:19 AM UTC 2026
% Result : Theorem 0.13s 15.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 10 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel25_1,axiom,
? [X] : big_p(X),
file('theBenchmark.p',pel25_1) ).
fof(pel25_2,axiom,
! [X] :
( big_f(X)
=> ( big_r(X)
& ~ big_g(X) ) ),
file('theBenchmark.p',pel25_2) ).
fof(pel25_3,axiom,
! [X] :
( big_p(X)
=> ( big_f(X)
& big_g(X) ) ),
file('theBenchmark.p',pel25_3) ).
fof(f_1_1,plain,
? [X] : big_p(X),
inference(fof_nnf,[status(thm)],[pel25_1]) ).
fof(f_1_2,plain,
? [U_0] : big_p(U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
big_p(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_2]) ).
cnf(f_1_4,plain,
big_p(sK1),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( big_r(X)
& ~ big_g(X) )
| ~ big_f(X) ),
inference(fof_nnf,[status(thm)],[pel25_2]) ).
fof(f_2_2,plain,
! [U_1] :
( ( big_r(U_1)
& ~ big_g(U_1) )
| ~ big_f(U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( ~ big_g(U_1)
| ~ big_f(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [X] :
( ( big_f(X)
& big_g(X) )
| ~ big_p(X) ),
inference(fof_nnf,[status(thm)],[pel25_3]) ).
fof(f_3_2,plain,
! [U_2] :
( ( big_f(U_2)
& big_g(U_2) )
| ~ big_p(U_2) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( big_g(U_2)
| ~ big_p(U_2) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( big_f(U_2)
| ~ big_p(U_2) ),
inference(clausify,[status(thm)],[f_3_2]) ).
cnf(t1,plain,
( ~ big_g(sK1)
| ~ big_f(sK1) ),
inference(start,[status(thm),parent(0:0)],[f_2_3]) ).
cnf(t2,plain,
( ~ big_p(sK1)
| big_f(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
big_p(sK1),
inference(extension,[status(thm),parent(t2:2)],[f_1_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ big_p(sK1)
| big_g(sK1) ),
inference(extension,[status(thm),parent(t1:2)],[f_3_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
big_p(sK1),
inference(extension,[status(thm),parent(t6:2)],[f_1_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_CAX_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.38 % Computer : n015.cluster.edu
% 0.11/15.38 % Model : x86_64 x86_64
% 0.11/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.38 % Memory : 8046.5625MB
% 0.11/15.38 % OS : Linux 6.8.0-71-generic
% 0.11/15.38 % CPULimit : 300
% 0.11/15.38 % WCLimit : 300
% 0.11/15.38 % DateTime : Sun Sep 20 06:27:20 UTC 2026
% 0.11/15.38 % CPUTime :
% 0.13/15.41 % SZS status Theorem for theBenchmark
% 0.13/15.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------