%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV384+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 : n018.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 78.06s 78.34s
% Output : Proof 78.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 114 ( 71 unt; 0 def)
% Number of atoms : 314 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 344 ( 144 ~; 132 |; 58 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 181 ( 0 sgn 84 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax31,axiom,
! [U] : succ_cpq(U,U),
file('SWV007+3.ax',ax31) ).
fof(l20_induction,axiom,
( ! [U,V,W,X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) )
=> ( ~ ok(im_succ_cpq(triple(X,Y,Z)))
| ~ check_cpq(im_succ_cpq(triple(X,Y,Z))) ) ) )
=> ! [X1,X2,X3] :
( ( ~ ok(triple(X1,X2,X3))
| ~ check_cpq(triple(X1,X2,X3)) )
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ~ check_cpq(triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6)) ) ) ) ),
file('theBenchmark.p',l20_induction) ).
fof(l12_l13,lemma,
! [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',l12_l13) ).
fof(l20_co,conjecture,
! [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',l20_co) ).
fof(f_19_1,plain,
! [U] : succ_cpq(U,U),
inference(fof_nnf,[status(thm)],[ax31]) ).
fof(f_19_2,plain,
! [U_69] : succ_cpq(U_69,U_69),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
succ_cpq(U_69,U_69),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_42_1,plain,
( ! [X1,X2,X3] :
( ! [X4,X5,X6] :
( ~ check_cpq(triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) )
| ( ok(triple(X1,X2,X3))
& check_cpq(triple(X1,X2,X3)) ) )
| ? [U,V,W,X,Y,Z] :
( ok(im_succ_cpq(triple(X,Y,Z)))
& check_cpq(im_succ_cpq(triple(X,Y,Z)))
& ( ~ ok(triple(X,Y,Z))
| ~ check_cpq(triple(X,Y,Z)) )
& succ_cpq(triple(U,V,W),triple(X,Y,Z)) ) ),
inference(fof_nnf,[status(thm)],[l20_induction]) ).
fof(f_42_2,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_156,U_155,U_154,U_153,U_152,U_151] :
( ok(im_succ_cpq(triple(U_153,U_152,U_151)))
& check_cpq(im_succ_cpq(triple(U_153,U_152,U_151)))
& ( ~ ok(triple(U_153,U_152,U_151))
| ~ check_cpq(triple(U_153,U_152,U_151)) )
& succ_cpq(triple(U_156,U_155,U_154),triple(U_153,U_152,U_151)) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_155,U_154,U_153,U_152,U_151] :
( ok(im_succ_cpq(triple(U_153,U_152,U_151)))
& check_cpq(im_succ_cpq(triple(U_153,U_152,U_151)))
& ( ~ ok(triple(U_153,U_152,U_151))
| ~ check_cpq(triple(U_153,U_152,U_151)) )
& succ_cpq(triple(sK1,U_155,U_154),triple(U_153,U_152,U_151)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_156,sK1)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_154,U_153,U_152,U_151] :
( ok(im_succ_cpq(triple(U_153,U_152,U_151)))
& check_cpq(im_succ_cpq(triple(U_153,U_152,U_151)))
& ( ~ ok(triple(U_153,U_152,U_151))
| ~ check_cpq(triple(U_153,U_152,U_151)) )
& succ_cpq(triple(sK1,sK2,U_154),triple(U_153,U_152,U_151)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_155,sK2)],[f_42_3]) ).
fof(f_42_5,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_153,U_152,U_151] :
( ok(im_succ_cpq(triple(U_153,U_152,U_151)))
& check_cpq(im_succ_cpq(triple(U_153,U_152,U_151)))
& ( ~ ok(triple(U_153,U_152,U_151))
| ~ check_cpq(triple(U_153,U_152,U_151)) )
& succ_cpq(triple(sK1,sK2,sK3),triple(U_153,U_152,U_151)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_154,sK3)],[f_42_4]) ).
fof(f_42_6,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_152,U_151] :
( ok(im_succ_cpq(triple(sK4,U_152,U_151)))
& check_cpq(im_succ_cpq(triple(sK4,U_152,U_151)))
& ( ~ ok(triple(sK4,U_152,U_151))
| ~ check_cpq(triple(sK4,U_152,U_151)) )
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,U_152,U_151)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_153,sK4)],[f_42_5]) ).
fof(f_42_7,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ? [U_151] :
( ok(im_succ_cpq(triple(sK4,sK5,U_151)))
& check_cpq(im_succ_cpq(triple(sK4,sK5,U_151)))
& ( ~ ok(triple(sK4,sK5,U_151))
| ~ check_cpq(triple(sK4,sK5,U_151)) )
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,U_151)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_152,sK5)],[f_42_6]) ).
fof(f_42_8,plain,
( ! [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)) )
| ( ok(triple(U_162,U_161,U_160))
& check_cpq(triple(U_162,U_161,U_160)) ) )
| ( ok(im_succ_cpq(triple(sK4,sK5,sK6)))
& check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
& ( ~ ok(triple(sK4,sK5,sK6))
| ~ check_cpq(triple(sK4,sK5,sK6)) )
& succ_cpq(triple(sK1,sK2,sK3),triple(sK4,sK5,sK6)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_151,sK6)],[f_42_7]) ).
cnf(f_42_11,plain,
( check_cpq(triple(U_162,U_161,U_160))
| ~ 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))
| ~ ok(triple(sK4,sK5,sK6))
| ~ check_cpq(triple(sK4,sK5,sK6)) ),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(f_42_12,plain,
( ok(triple(U_162,U_161,U_160))
| ~ 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))
| ~ ok(triple(sK4,sK5,sK6))
| ~ check_cpq(triple(sK4,sK5,sK6)) ),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(f_42_13,plain,
( check_cpq(triple(U_162,U_161,U_160))
| ~ 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(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(f_42_14,plain,
( ok(triple(U_162,U_161,U_160))
| ~ 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(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(f_42_15,plain,
( check_cpq(triple(U_162,U_161,U_160))
| ~ 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))
| ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(clausify,[status(thm)],[f_42_8]) ).
cnf(f_42_16,plain,
( ok(triple(U_162,U_161,U_160))
| ~ 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))
| ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(clausify,[status(thm)],[f_42_8]) ).
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)))
| ( ok(triple(U,V,W))
& check_cpq(triple(U,V,W)) ) ),
inference(fof_nnf,[status(thm)],[l12_l13]) ).
fof(f_43_2,plain,
! [U_165,U_164,U_163] :
( ~ ok(im_succ_cpq(triple(U_165,U_164,U_163)))
| ~ check_cpq(im_succ_cpq(triple(U_165,U_164,U_163)))
| ( ok(triple(U_165,U_164,U_163))
& check_cpq(triple(U_165,U_164,U_163)) ) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( check_cpq(triple(U_165,U_164,U_163))
| ~ ok(im_succ_cpq(triple(U_165,U_164,U_163)))
| ~ check_cpq(im_succ_cpq(triple(U_165,U_164,U_163))) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( ok(triple(U_165,U_164,U_163))
| ~ ok(im_succ_cpq(triple(U_165,U_164,U_163)))
| ~ check_cpq(im_succ_cpq(triple(U_165,U_164,U_163))) ),
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)) )
=> ! [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)],[l20_co]) ).
fof(f_44_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)) )
& ( ~ 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_171,U_170,U_169] :
( ? [U_168,U_167,U_166] :
( check_cpq(triple(U_168,U_167,U_166))
& ok(triple(U_168,U_167,U_166))
& succ_cpq(triple(U_171,U_170,U_169),triple(U_168,U_167,U_166)) )
& ( ~ ok(triple(U_171,U_170,U_169))
| ~ check_cpq(triple(U_171,U_170,U_169)) ) ),
inference(variable_rename,[status(thm)],[f_44_2]) ).
fof(f_44_4,negated_conjecture,
? [U_170,U_169] :
( ? [U_168,U_167,U_166] :
( check_cpq(triple(U_168,U_167,U_166))
& ok(triple(U_168,U_167,U_166))
& succ_cpq(triple(sK7,U_170,U_169),triple(U_168,U_167,U_166)) )
& ( ~ ok(triple(sK7,U_170,U_169))
| ~ check_cpq(triple(sK7,U_170,U_169)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_171,sK7)],[f_44_3]) ).
fof(f_44_5,negated_conjecture,
? [U_169] :
( ? [U_168,U_167,U_166] :
( check_cpq(triple(U_168,U_167,U_166))
& ok(triple(U_168,U_167,U_166))
& succ_cpq(triple(sK7,sK8,U_169),triple(U_168,U_167,U_166)) )
& ( ~ ok(triple(sK7,sK8,U_169))
| ~ check_cpq(triple(sK7,sK8,U_169)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_170,sK8)],[f_44_4]) ).
fof(f_44_6,negated_conjecture,
( ? [U_168,U_167,U_166] :
( check_cpq(triple(U_168,U_167,U_166))
& ok(triple(U_168,U_167,U_166))
& succ_cpq(triple(sK7,sK8,sK9),triple(U_168,U_167,U_166)) )
& ( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_169,sK9)],[f_44_5]) ).
fof(f_44_7,negated_conjecture,
( ? [U_167,U_166] :
( check_cpq(triple(sK10,U_167,U_166))
& ok(triple(sK10,U_167,U_166))
& succ_cpq(triple(sK7,sK8,sK9),triple(sK10,U_167,U_166)) )
& ( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_168,sK10)],[f_44_6]) ).
fof(f_44_8,negated_conjecture,
( ? [U_166] :
( check_cpq(triple(sK10,sK11,U_166))
& ok(triple(sK10,sK11,U_166))
& succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,U_166)) )
& ( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_167,sK11)],[f_44_7]) ).
fof(f_44_9,negated_conjecture,
( check_cpq(triple(sK10,sK11,sK12))
& ok(triple(sK10,sK11,sK12))
& succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
& ( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_166,sK12)],[f_44_8]) ).
cnf(f_44_10,negated_conjecture,
( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ),
inference(clausify,[status(thm)],[f_44_9]) ).
cnf(f_44_11,negated_conjecture,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(clausify,[status(thm)],[f_44_9]) ).
cnf(f_44_12,negated_conjecture,
ok(triple(sK10,sK11,sK12)),
inference(clausify,[status(thm)],[f_44_9]) ).
cnf(f_44_13,negated_conjecture,
check_cpq(triple(sK10,sK11,sK12)),
inference(clausify,[status(thm)],[f_44_9]) ).
cnf(t1,plain,
( ~ ok(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK7,sK8,sK9)) ),
inference(start,[status(thm),parent(0:0)],[f_44_10]) ).
cnf(t2,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ok(im_succ_cpq(triple(sK4,sK5,sK6)))
| check_cpq(triple(sK7,sK8,sK9)) ),
inference(extension,[status(thm),parent(t1:1)],[f_42_15]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ok(triple(sK4,sK5,sK6))
| ~ check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
| ~ ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(extension,[status(thm),parent(t2:2)],[f_43_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ succ_cpq(triple(sK10,sK11,sK12),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ok(triple(sK10,sK11,sK12))
| check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(extension,[status(thm),parent(t4:2)],[f_42_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| check_cpq(triple(sK7,sK8,sK9))
| ~ check_cpq(triple(sK10,sK11,sK12))
| check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
| ~ ok(triple(sK10,sK11,sK12)) ),
inference(extension,[status(thm),parent(t6:2)],[f_42_13]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t8:2)],[t8:2,t4:2]) ).
cnf(t11,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t8:3)],[f_44_13]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t8:3]) ).
cnf(t13,plain,
$false,
inference(reduction,[status(thm),parent(t8:4)],[t8:4,t1:1]) ).
cnf(t14,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t8:5)],[f_44_11]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:5]) ).
cnf(t16,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t6:3)],[f_44_13]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:3]) ).
cnf(t18,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t6:4)],[f_44_12]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:4]) ).
cnf(t20,plain,
succ_cpq(triple(sK10,sK11,sK12),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t6:5)],[f_19_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:5]) ).
cnf(l3,lemma,
check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))),
inference(lemma,[status(cth),parent(t4:2),below(t2:2)],[t4:2]) ).
cnf(t22,plain,
( check_cpq(triple(sK7,sK8,sK9))
| ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK4,sK5,sK6))
| ~ ok(triple(sK4,sK5,sK6)) ),
inference(extension,[status(thm),parent(t4:3)],[f_42_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:3]) ).
cnf(t24,plain,
( ~ ok(im_succ_cpq(triple(sK4,sK5,sK6)))
| ~ check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
| check_cpq(triple(sK4,sK5,sK6)) ),
inference(extension,[status(thm),parent(t22:2)],[f_43_3]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))),
inference(lemma_extension,[status(thm),parent(t24:2)],[l3:1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
$false,
inference(reduction,[status(thm),parent(t24:3)],[t24:3,t2:2]) ).
cnf(t29,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t22:3)],[f_44_13]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t22:3]) ).
cnf(t31,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t22:4)],[f_44_12]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t22:4]) ).
cnf(t33,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t22:5)],[f_44_11]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t22:5]) ).
cnf(t35,plain,
$false,
inference(reduction,[status(thm),parent(t22:6)],[t22:6,t1:1]) ).
cnf(t36,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t2:3)],[f_44_13]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t2:3]) ).
cnf(t38,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t2:4)],[f_44_12]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:4]) ).
cnf(t40,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t2:5)],[f_44_11]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:5]) ).
cnf(t42,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ok(im_succ_cpq(triple(sK4,sK5,sK6)))
| ok(triple(sK7,sK8,sK9)) ),
inference(extension,[status(thm),parent(t1:2)],[f_42_16]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t1:2]) ).
cnf(t44,plain,
( ok(triple(sK4,sK5,sK6))
| ~ check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
| ~ ok(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(extension,[status(thm),parent(t42:2)],[f_43_4]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ok(triple(sK7,sK8,sK9))
| check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))) ),
inference(extension,[status(thm),parent(t44:2)],[f_42_14]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
$false,
inference(reduction,[status(thm),parent(t46:2)],[t46:2,t1:2]) ).
cnf(t49,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t46:3)],[f_44_13]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t46:3]) ).
cnf(t51,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t46:4)],[f_44_12]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t46:4]) ).
cnf(t53,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t46:5)],[f_44_11]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t46:5]) ).
cnf(l24,lemma,
check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))),
inference(lemma,[status(cth),parent(t44:2),below(t42:2)],[t44:2]) ).
cnf(t55,plain,
( ok(triple(sK7,sK8,sK9))
| ~ succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12))
| ~ ok(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK10,sK11,sK12))
| ~ check_cpq(triple(sK4,sK5,sK6))
| ~ ok(triple(sK4,sK5,sK6)) ),
inference(extension,[status(thm),parent(t44:3)],[f_42_12]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t44:3]) ).
cnf(t57,plain,
( ~ ok(im_succ_cpq(triple(sK4,sK5,sK6)))
| ~ check_cpq(im_succ_cpq(triple(sK4,sK5,sK6)))
| check_cpq(triple(sK4,sK5,sK6)) ),
inference(extension,[status(thm),parent(t55:2)],[f_43_3]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t55:2]) ).
cnf(t59,plain,
check_cpq(im_succ_cpq(triple(sK4,sK5,sK6))),
inference(lemma_extension,[status(thm),parent(t57:2)],[l24:1]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t57:2]) ).
cnf(t61,plain,
$false,
inference(reduction,[status(thm),parent(t57:3)],[t57:3,t42:2]) ).
cnf(t62,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t55:3)],[f_44_13]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t55:3]) ).
cnf(t64,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t55:4)],[f_44_12]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t55:4]) ).
cnf(t66,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t55:5)],[f_44_11]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t55:5]) ).
cnf(t68,plain,
$false,
inference(reduction,[status(thm),parent(t55:6)],[t55:6,t1:2]) ).
cnf(t69,plain,
check_cpq(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t42:3)],[f_44_13]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t42:3]) ).
cnf(t71,plain,
ok(triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t42:4)],[f_44_12]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t42:4]) ).
cnf(t73,plain,
succ_cpq(triple(sK7,sK8,sK9),triple(sK10,sK11,sK12)),
inference(extension,[status(thm),parent(t42:5)],[f_44_11]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t42:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV384+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/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 : n018.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 03:31:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 78.06/78.34 % SZS status Theorem for theBenchmark
% 78.06/78.34 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------