%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n003.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 08:47:12 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 32 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 33 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> cc(X) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ~ cd(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cc(X)
=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( ! [Y] :
( rr(X,Y)
=> cc(Y) )
=> cd(X) ),
file('theBenchmark.p',axiom_6) ).
fof(f_3_1,plain,
! [X] :
( cc(X)
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( cc(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_6] :
( cc(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cc(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X] :
( ~ cd(X)
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_7] :
( ~ cd(U_7)
| ~ cUnsatisfiable(U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_7] :
( ~ cd(U_7)
| ~ cUnsatisfiable(U_7) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( ~ cd(U_7)
| ~ cUnsatisfiable(U_7) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ! [Y] :
( cc(Y)
| ~ rr(X,Y) )
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_9] :
( ! [U_8] :
( cc(U_8)
| ~ rr(U_9,U_8) )
| ~ cc(U_9) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cc(U_8)
| ~ rr(U_9,U_8)
| ~ cc(U_9) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cc(U_8)
| ~ rr(U_9,U_8)
| ~ cc(U_9) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(definitional_conversion,[status(esa)],[f_6_1]) ).
cnf(f_6_3,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X] :
( cd(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_11] :
( cd(U_11)
| ? [U_10] :
( ~ cc(U_10)
& rr(U_11,U_10) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_11] :
( cd(U_11)
| ( ~ cc(sK1(U_11))
& rr(U_11,sK1(U_11)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_10,sK1(U_11))],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_11] :
( ~ cc(sK1(U_11))
| ~ sP0(U_11) )
& ! [U_11] :
( rr(U_11,sK1(U_11))
| ~ sP0(U_11) )
& ! [U_11] :
( cd(U_11)
| sP0(U_11) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_7_3]) ).
cnf(f_7_5,plain,
( cd(U_11)
| sP0(U_11) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( rr(U_11,sK1(U_11))
| ~ sP0(U_11) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_7,plain,
( ~ cc(sK1(U_11))
| ~ sP0(U_11) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(t1,plain,
( ~ cc(sK1(i2003_11_14_17_18_23845))
| ~ sP0(i2003_11_14_17_18_23845) ),
inference(start,[status(thm),parent(0:0)],[f_7_7]) ).
cnf(t2,plain,
( cd(i2003_11_14_17_18_23845)
| sP0(i2003_11_14_17_18_23845) ),
inference(extension,[status(thm),parent(t1:1)],[f_7_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| ~ cd(i2003_11_14_17_18_23845) ),
inference(extension,[status(thm),parent(t2:2)],[f_4_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(extension,[status(thm),parent(t4:2)],[f_6_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(l1,lemma,
sP0(i2003_11_14_17_18_23845),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t8,plain,
( ~ rr(i2003_11_14_17_18_23845,sK1(i2003_11_14_17_18_23845))
| ~ cc(i2003_11_14_17_18_23845)
| cc(sK1(i2003_11_14_17_18_23845)) ),
inference(extension,[status(thm),parent(t1:2)],[f_5_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_23845)
| cc(i2003_11_14_17_18_23845) ),
inference(extension,[status(thm),parent(t8:2)],[f_3_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
cUnsatisfiable(i2003_11_14_17_18_23845),
inference(extension,[status(thm),parent(t10:2)],[f_6_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ sP0(i2003_11_14_17_18_23845)
| rr(i2003_11_14_17_18_23845,sK1(i2003_11_14_17_18_23845)) ),
inference(extension,[status(thm),parent(t8:3)],[f_7_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:3]) ).
cnf(t16,plain,
sP0(i2003_11_14_17_18_23845),
inference(lemma_extension,[status(thm),parent(t14:2)],[l1:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_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
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 12:13:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------