%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n017.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 09:03:33 AM UTC 2026
% Result : Theorem 0.22s 0.49s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 34 ~; 16 |; 29 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 63 ( 0 sgn 30 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l19_l20,lemma,
! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('theBenchmark.p',l19_l20) ).
fof(l19_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('theBenchmark.p',l19_co) ).
fof(f_42_1,plain,
! [U,V,W] :
( ! [X,Y,Z] :
( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z))
| ~ succ_cpq(triple(U,V,W),triple(X,Y,Z)) )
| ( ok(triple(U,V,W))
& check_cpq(triple(U,V,W)) ) ),
inference(fof_nnf,[status(thm)],[l19_l20]) ).
fof(f_42_2,plain,
! [U_156,U_155,U_154] :
( ! [U_153,U_152,U_151] :
( ~ check_cpq(triple(U_153,U_152,U_151))
| ~ ok(triple(U_153,U_152,U_151))
| ~ succ_cpq(triple(U_156,U_155,U_154),triple(U_153,U_152,U_151)) )
| ( ok(triple(U_156,U_155,U_154))
& check_cpq(triple(U_156,U_155,U_154)) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( check_cpq(triple(U_156,U_155,U_154))
| ~ check_cpq(triple(U_153,U_152,U_151))
| ~ ok(triple(U_153,U_152,U_151))
| ~ succ_cpq(triple(U_156,U_155,U_154),triple(U_153,U_152,U_151)) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
inference(negate,[status(cth)],[l19_co]) ).
fof(f_43_2,negated_conjecture,
? [U,V,W] :
( ? [X,Y,Z] :
( check_cpq(triple(X,Y,Z))
& ok(triple(X,Y,Z))
& succ_cpq(triple(U,V,W),triple(X,Y,Z)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[f_43_1]) ).
fof(f_43_3,negated_conjecture,
? [U_162,U_161,U_160] :
( ? [U_159,U_158,U_157] :
( check_cpq(triple(U_159,U_158,U_157))
& ok(triple(U_159,U_158,U_157))
& succ_cpq(triple(U_162,U_161,U_160),triple(U_159,U_158,U_157)) )
& ~ check_cpq(triple(U_162,U_161,U_160)) ),
inference(variable_rename,[status(thm)],[f_43_2]) ).
fof(f_43_4,negated_conjecture,
? [U_161,U_160] :
( ? [U_159,U_158,U_157] :
( check_cpq(triple(U_159,U_158,U_157))
& ok(triple(U_159,U_158,U_157))
& succ_cpq(triple(sK1,U_161,U_160),triple(U_159,U_158,U_157)) )
& ~ check_cpq(triple(sK1,U_161,U_160)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_162,sK1)],[f_43_3]) ).
fof(f_43_5,negated_conjecture,
? [U_160] :
( ? [U_159,U_158,U_157] :
( check_cpq(triple(U_159,U_158,U_157))
& ok(triple(U_159,U_158,U_157))
& succ_cpq(triple(sK1,sK2,U_160),triple(U_159,U_158,U_157)) )
& ~ check_cpq(triple(sK1,sK2,U_160)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_161,sK2)],[f_43_4]) ).
fof(f_43_6,negated_conjecture,
( ? [U_159,U_158,U_157] :
( check_cpq(triple(U_159,U_158,U_157))
& ok(triple(U_159,U_158,U_157))
& succ_cpq(triple(sK1,sK2,sK3),triple(U_159,U_158,U_157)) )
& ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_160,sK3)],[f_43_5]) ).
fof(f_43_7,negated_conjecture,
( ? [U_158,U_157] :
( check_cpq(triple(sK4,U_158,U_157))
& ok(triple(sK4,U_158,U_157))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,U_158,U_157)) )
& ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_159,sK4)],[f_43_6]) ).
fof(f_43_8,negated_conjecture,
( ? [U_157] :
( check_cpq(triple(sK4,sK5,U_157))
& ok(triple(sK4,sK5,U_157))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,U_157)) )
& ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_158,sK5)],[f_43_7]) ).
fof(f_43_9,negated_conjecture,
( check_cpq(triple(sK4,sK5,sK6))
& ok(triple(sK4,sK5,sK6))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
& ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_157,sK6)],[f_43_8]) ).
fof(f_43_10,negated_conjecture,
( check_cpq(triple(sK4,sK5,sK6))
& ok(triple(sK4,sK5,sK6))
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
& ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(definitional_conversion,[status(esa)],[f_43_9]) ).
cnf(f_43_11,negated_conjecture,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(clausify,[status(thm)],[f_43_10]) ).
cnf(f_43_12,negated_conjecture,
succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)),
inference(clausify,[status(thm)],[f_43_10]) ).
cnf(f_43_13,negated_conjecture,
ok(triple(sK4,sK5,sK6)),
inference(clausify,[status(thm)],[f_43_10]) ).
cnf(f_43_14,negated_conjecture,
check_cpq(triple(sK4,sK5,sK6)),
inference(clausify,[status(thm)],[f_43_10]) ).
cnf(t1,plain,
~ check_cpq(triple(sK1,sK2,sK3)),
inference(start,[status(thm),parent(0:0)],[f_43_11]) ).
cnf(t2,plain,
( ~ ok(triple(sK4,sK5,sK6))
| ~ check_cpq(triple(sK4,sK5,sK6))
| ~ succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6))
| check_cpq(triple(sK1,sK2,sK3)) ),
inference(extension,[status(thm),parent(t1:1)],[f_42_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)),
inference(extension,[status(thm),parent(t2:2)],[f_43_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
check_cpq(triple(sK4,sK5,sK6)),
inference(extension,[status(thm),parent(t2:3)],[f_43_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
ok(triple(sK4,sK5,sK6)),
inference(extension,[status(thm),parent(t2:4)],[f_43_13]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ 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
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 03:24:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------