%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 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 : n026.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 : 10
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 42 ~; 25 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l21_li1316,lemma,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(im_succ_cpq(triple(U,V,W))) ),
file('theBenchmark.p',l21_li1316) ).
fof(l21_li2225,lemma,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
file('theBenchmark.p',l21_li2225) ).
fof(l21_co,conjecture,
! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
file('theBenchmark.p',l21_co) ).
fof(f_42_1,plain,
! [U,V,W] :
( ~ ok(im_succ_cpq(triple(U,V,W)))
| ok(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l21_li1316]) ).
fof(f_42_2,plain,
! [U_153,U_152,U_151] :
( ~ ok(im_succ_cpq(triple(U_153,U_152,U_151)))
| ok(triple(U_153,U_152,U_151)) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( ~ ok(im_succ_cpq(triple(U_153,U_152,U_151)))
| ok(triple(U_153,U_152,U_151)) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [U,V,W] :
( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l21_li2225]) ).
fof(f_43_2,plain,
! [U_156,U_155,U_154] :
( ~ ok(im_succ_cpq(triple(U_156,U_155,U_154)))
| ~ check_cpq(im_succ_cpq(triple(U_156,U_155,U_154)))
| check_cpq(triple(U_156,U_155,U_154)) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( ~ ok(im_succ_cpq(triple(U_156,U_155,U_154)))
| ~ check_cpq(im_succ_cpq(triple(U_156,U_155,U_154)))
| check_cpq(triple(U_156,U_155,U_154)) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,negated_conjecture,
~ ! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
inference(negate,[status(cth)],[l21_co]) ).
fof(f_44_2,negated_conjecture,
? [U,V,W] :
( ok(im_succ_cpq(triple(U,V,W)))
& check_cpq(im_succ_cpq(triple(U,V,W)))
& ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ) ),
inference(fof_nnf,[status(thm)],[f_44_1]) ).
fof(f_44_3,negated_conjecture,
? [U_159,U_158,U_157] :
( ok(im_succ_cpq(triple(U_159,U_158,U_157)))
& check_cpq(im_succ_cpq(triple(U_159,U_158,U_157)))
& ( ~ ok(triple(U_159,U_158,U_157))
| ~ check_cpq(triple(U_159,U_158,U_157)) ) ),
inference(variable_rename,[status(thm)],[f_44_2]) ).
fof(f_44_4,negated_conjecture,
? [U_158,U_157] :
( ok(im_succ_cpq(triple(sK1,U_158,U_157)))
& check_cpq(im_succ_cpq(triple(sK1,U_158,U_157)))
& ( ~ ok(triple(sK1,U_158,U_157))
| ~ check_cpq(triple(sK1,U_158,U_157)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_159,sK1)],[f_44_3]) ).
fof(f_44_5,negated_conjecture,
? [U_157] :
( ok(im_succ_cpq(triple(sK1,sK2,U_157)))
& check_cpq(im_succ_cpq(triple(sK1,sK2,U_157)))
& ( ~ ok(triple(sK1,sK2,U_157))
| ~ check_cpq(triple(sK1,sK2,U_157)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_158,sK2)],[f_44_4]) ).
fof(f_44_6,negated_conjecture,
( ok(im_succ_cpq(triple(sK1,sK2,sK3)))
& check_cpq(im_succ_cpq(triple(sK1,sK2,sK3)))
& ( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_157,sK3)],[f_44_5]) ).
fof(f_44_7,negated_conjecture,
( ok(im_succ_cpq(triple(sK1,sK2,sK3)))
& check_cpq(im_succ_cpq(triple(sK1,sK2,sK3)))
& ( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ) ),
inference(definitional_conversion,[status(esa)],[f_44_6]) ).
cnf(f_44_8,negated_conjecture,
( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(clausify,[status(thm)],[f_44_7]) ).
cnf(f_44_9,negated_conjecture,
check_cpq(im_succ_cpq(triple(sK1,sK2,sK3))),
inference(clausify,[status(thm)],[f_44_7]) ).
cnf(f_44_10,negated_conjecture,
ok(im_succ_cpq(triple(sK1,sK2,sK3))),
inference(clausify,[status(thm)],[f_44_7]) ).
cnf(t1,plain,
( ~ ok(triple(sK1,sK2,sK3))
| ~ check_cpq(triple(sK1,sK2,sK3)) ),
inference(start,[status(thm),parent(0:0)],[f_44_8]) ).
cnf(t2,plain,
( ~ check_cpq(im_succ_cpq(triple(sK1,sK2,sK3)))
| ~ ok(im_succ_cpq(triple(sK1,sK2,sK3)))
| check_cpq(triple(sK1,sK2,sK3)) ),
inference(extension,[status(thm),parent(t1:1)],[f_43_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
ok(im_succ_cpq(triple(sK1,sK2,sK3))),
inference(extension,[status(thm),parent(t2:2)],[f_44_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
check_cpq(im_succ_cpq(triple(sK1,sK2,sK3))),
inference(extension,[status(thm),parent(t2:3)],[f_44_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ ok(im_succ_cpq(triple(sK1,sK2,sK3)))
| ok(triple(sK1,sK2,sK3)) ),
inference(extension,[status(thm),parent(t1:2)],[f_42_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
ok(im_succ_cpq(triple(sK1,sK2,sK3))),
inference(extension,[status(thm),parent(t8:2)],[f_44_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 03:32:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------