%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n009.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 08:54:30 AM UTC 2026
% Result : Theorem 0.09s 0.42s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 49 unt; 0 def)
% Number of atoms : 131 ( 18 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 106 ( 50 ~; 46 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(garfield_type,axiom,
cat(garfield),
file('theBenchmark.p',garfield_type) ).
fof(odie_type,axiom,
dog(odie),
file('theBenchmark.p',odie_type) ).
fof(dog_pet_type,axiom,
! [A] :
( dog(A)
=> pet(A) ),
file('theBenchmark.p',dog_pet_type) ).
fof(cat_pet_type,axiom,
! [A] :
( cat(A)
=> pet(A) ),
file('theBenchmark.p',cat_pet_type) ).
fof(jon_type,axiom,
human(jon),
file('theBenchmark.p',jon_type) ).
fof(jon_o_owner_axiom,axiom,
owner(jon,odie),
file('theBenchmark.p',jon_o_owner_axiom) ).
fof(jon_g_owner_axiom,axiom,
owner(jon,garfield),
file('theBenchmark.p',jon_g_owner_axiom) ).
fof(cat_chase_axiom,axiom,
! [X,Y] :
( ( dog(Y)
& cat(X) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ),
file('theBenchmark.p',cat_chase_axiom) ).
fof(owner_def,axiom,
! [X,Y] :
( ( pet(Y)
& human(X) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ),
file('theBenchmark.p',owner_def) ).
fof(odie_chase_axiom,axiom,
chased(odie,garfield),
file('theBenchmark.p',odie_chase_axiom) ).
fof(jon_conjecture,conjecture,
hates(jon,jon),
file('theBenchmark.p',jon_conjecture) ).
fof(f_2_1,plain,
cat(garfield),
inference(fof_nnf,[status(thm)],[garfield_type]) ).
cnf(f_2_2,plain,
cat(garfield),
inference(clausify,[status(thm)],[f_2_1]) ).
fof(f_4_1,plain,
dog(odie),
inference(fof_nnf,[status(thm)],[odie_type]) ).
cnf(f_4_2,plain,
dog(odie),
inference(clausify,[status(thm)],[f_4_1]) ).
fof(f_6_1,plain,
! [A] :
( pet(A)
| ~ dog(A) ),
inference(fof_nnf,[status(thm)],[dog_pet_type]) ).
fof(f_6_2,plain,
! [U_3] :
( pet(U_3)
| ~ dog(U_3) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( pet(U_3)
| ~ dog(U_3) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( pet(A)
| ~ cat(A) ),
inference(fof_nnf,[status(thm)],[cat_pet_type]) ).
fof(f_7_2,plain,
! [U_4] :
( pet(U_4)
| ~ cat(U_4) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( pet(U_4)
| ~ cat(U_4) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_9_1,plain,
human(jon),
inference(fof_nnf,[status(thm)],[jon_type]) ).
cnf(f_9_2,plain,
human(jon),
inference(clausify,[status(thm)],[f_9_1]) ).
fof(f_12_1,plain,
owner(jon,odie),
inference(fof_nnf,[status(thm)],[jon_o_owner_axiom]) ).
cnf(f_12_2,plain,
owner(jon,odie),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
owner(jon,garfield),
inference(fof_nnf,[status(thm)],[jon_g_owner_axiom]) ).
cnf(f_13_2,plain,
owner(jon,garfield),
inference(clausify,[status(thm)],[f_13_1]) ).
fof(f_16_1,plain,
! [X,Y] :
( hates(owner_of(X),owner_of(Y))
| ~ chased(Y,X)
| ~ dog(Y)
| ~ cat(X) ),
inference(fof_nnf,[status(thm)],[cat_chase_axiom]) ).
fof(f_16_2,plain,
! [U_14,U_13] :
( hates(owner_of(U_14),owner_of(U_13))
| ~ chased(U_13,U_14)
| ~ dog(U_13)
| ~ cat(U_14) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( hates(owner_of(U_14),owner_of(U_13))
| ~ chased(U_13,U_14)
| ~ dog(U_13)
| ~ cat(U_14) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X,Y] :
( ( ( owner(X,Y)
| X != owner_of(Y) )
& ( X = owner_of(Y)
| ~ owner(X,Y) ) )
| ~ pet(Y)
| ~ human(X) ),
inference(fof_nnf,[status(thm)],[owner_def]) ).
fof(f_17_2,plain,
! [U_16,U_15] :
( ( ( owner(U_16,U_15)
| U_16 != owner_of(U_15) )
& ( U_16 = owner_of(U_15)
| ~ owner(U_16,U_15) ) )
| ~ pet(U_15)
| ~ human(U_16) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( U_16 = owner_of(U_15)
| ~ owner(U_16,U_15)
| ~ pet(U_15)
| ~ human(U_16) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
chased(odie,garfield),
inference(fof_nnf,[status(thm)],[odie_chase_axiom]) ).
cnf(f_18_2,plain,
chased(odie,garfield),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,negated_conjecture,
~ hates(jon,jon),
inference(negate,[status(cth)],[jon_conjecture]) ).
fof(f_19_2,negated_conjecture,
~ hates(jon,jon),
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,negated_conjecture,
~ hates(jon,jon),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_12,axiom,
( hates(Eq_y_0,Eq_y_1)
| ~ hates(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
~ hates(jon,jon),
inference(start,[status(thm),parent(0:0)],[f_19_3]) ).
cnf(t2,plain,
( owner_of(odie) != jon
| ~ hates(owner_of(garfield),owner_of(odie))
| owner_of(garfield) != jon
| hates(jon,jon) ),
inference(extension,[status(thm),parent(t1:1)],[equality_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( jon != owner_of(garfield)
| owner_of(garfield) = jon ),
inference(extension,[status(thm),parent(t2:2)],[equality_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ pet(garfield)
| ~ owner(jon,garfield)
| ~ human(jon)
| jon = owner_of(garfield) ),
inference(extension,[status(thm),parent(t4:2)],[f_17_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
human(jon),
inference(extension,[status(thm),parent(t6:2)],[f_9_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
owner(jon,garfield),
inference(extension,[status(thm),parent(t6:3)],[f_13_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ cat(garfield)
| pet(garfield) ),
inference(extension,[status(thm),parent(t6:4)],[f_7_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
cat(garfield),
inference(extension,[status(thm),parent(t12:2)],[f_2_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ dog(odie)
| ~ chased(odie,garfield)
| ~ cat(garfield)
| hates(owner_of(garfield),owner_of(odie)) ),
inference(extension,[status(thm),parent(t2:3)],[f_16_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
cat(garfield),
inference(extension,[status(thm),parent(t16:2)],[f_2_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
chased(odie,garfield),
inference(extension,[status(thm),parent(t16:3)],[f_18_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
dog(odie),
inference(extension,[status(thm),parent(t16:4)],[f_4_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:4]) ).
cnf(t24,plain,
( jon != owner_of(odie)
| owner_of(odie) = jon ),
inference(extension,[status(thm),parent(t2:4)],[equality_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:4]) ).
cnf(t26,plain,
( ~ pet(odie)
| ~ owner(jon,odie)
| ~ human(jon)
| jon = owner_of(odie) ),
inference(extension,[status(thm),parent(t24:2)],[f_17_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
human(jon),
inference(extension,[status(thm),parent(t26:2)],[f_9_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
owner(jon,odie),
inference(extension,[status(thm),parent(t26:3)],[f_12_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ dog(odie)
| pet(odie) ),
inference(extension,[status(thm),parent(t26:4)],[f_6_3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:4]) ).
cnf(t34,plain,
dog(odie),
inference(extension,[status(thm),parent(t32:2)],[f_4_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n009.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 : Sat Sep 19 20:04:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.42 % SZS status Theorem for theBenchmark
% 0.09/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------