%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : 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 08:54:31 AM UTC 2026
% Result : Theorem 0.13s 5.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 37 unt; 0 def)
% Number of atoms : 99 ( 14 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 83 ( 40 ~; 36 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(michael_type,axiom,
student(michael),
file('theBenchmark.p',michael_type) ).
fof(csc410_type,axiom,
course(csc410),
file('theBenchmark.p',csc410_type) ).
fof(coordinator_of_type,axiom,
! [A] :
( course(A)
=> professor(coordinatorof(A)) ),
file('theBenchmark.p',coordinator_of_type) ).
fof(coordinator_teaches,axiom,
! [X] :
( course(X)
=> teaches(coordinatorof(X),X) ),
file('theBenchmark.p',coordinator_teaches) ).
fof(student_enrolled_taught,axiom,
! [X,Y] :
( ( course(Y)
& student(X) )
=> ( enrolled(X,Y)
=> ! [Z] :
( professor(Z)
=> ( teaches(Z,Y)
=> taughtby(X,Z) ) ) ) ),
file('theBenchmark.p',student_enrolled_taught) ).
fof(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410),
file('theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor,
file('theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(teaching_conjecture,conjecture,
taughtby(michael,victor),
file('theBenchmark.p',teaching_conjecture) ).
fof(f_4_1,plain,
student(michael),
inference(fof_nnf,[status(thm)],[michael_type]) ).
cnf(f_4_2,plain,
student(michael),
inference(clausify,[status(thm)],[f_4_1]) ).
fof(f_6_1,plain,
course(csc410),
inference(fof_nnf,[status(thm)],[csc410_type]) ).
cnf(f_6_2,plain,
course(csc410),
inference(clausify,[status(thm)],[f_6_1]) ).
fof(f_7_1,plain,
! [A] :
( professor(coordinatorof(A))
| ~ course(A) ),
inference(fof_nnf,[status(thm)],[coordinator_of_type]) ).
fof(f_7_2,plain,
! [U_3] :
( professor(coordinatorof(U_3))
| ~ course(U_3) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( professor(coordinatorof(U_3))
| ~ course(U_3) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_12_1,plain,
! [X] :
( teaches(coordinatorof(X),X)
| ~ course(X) ),
inference(fof_nnf,[status(thm)],[coordinator_teaches]) ).
fof(f_12_2,plain,
! [U_12] :
( teaches(coordinatorof(U_12),U_12)
| ~ course(U_12) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( teaches(coordinatorof(U_12),U_12)
| ~ course(U_12) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [X,Y] :
( ! [Z] :
( taughtby(X,Z)
| ~ teaches(Z,Y)
| ~ professor(Z) )
| ~ enrolled(X,Y)
| ~ course(Y)
| ~ student(X) ),
inference(fof_nnf,[status(thm)],[student_enrolled_taught]) ).
fof(f_13_2,plain,
! [U_15,U_14] :
( ! [U_13] :
( taughtby(U_15,U_13)
| ~ teaches(U_13,U_14)
| ~ professor(U_13) )
| ~ enrolled(U_15,U_14)
| ~ course(U_14)
| ~ student(U_15) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( taughtby(U_15,U_13)
| ~ teaches(U_13,U_14)
| ~ professor(U_13)
| ~ enrolled(U_15,U_14)
| ~ course(U_14)
| ~ student(U_15) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
enrolled(michael,csc410),
inference(fof_nnf,[status(thm)],[michael_enrolled_csc410_axiom]) ).
cnf(f_14_2,plain,
enrolled(michael,csc410),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
coordinatorof(csc410) = victor,
inference(fof_nnf,[status(thm)],[victor_coordinator_csc410_axiom]) ).
cnf(f_15_2,plain,
coordinatorof(csc410) = victor,
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,negated_conjecture,
~ taughtby(michael,victor),
inference(negate,[status(cth)],[teaching_conjecture]) ).
fof(f_16_2,negated_conjecture,
~ taughtby(michael,victor),
inference(definitional_conversion,[status(esa)],[f_16_1]) ).
cnf(f_16_3,negated_conjecture,
~ taughtby(michael,victor),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_14,axiom,
( taughtby(Eq_y_0,Eq_y_1)
| ~ taughtby(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,
~ taughtby(michael,victor),
inference(start,[status(thm),parent(0:0)],[f_16_3]) ).
cnf(t2,plain,
( coordinatorof(csc410) != victor
| ~ taughtby(michael,coordinatorof(csc410))
| michael != michael
| taughtby(michael,victor) ),
inference(extension,[status(thm),parent(t1:1)],[equality_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( michael != michael
| michael = michael ),
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,
michael = michael,
inference(extension,[status(thm),parent(t4:2)],[equality_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ course(csc410)
| ~ enrolled(michael,csc410)
| ~ professor(coordinatorof(csc410))
| ~ teaches(coordinatorof(csc410),csc410)
| ~ student(michael)
| taughtby(michael,coordinatorof(csc410)) ),
inference(extension,[status(thm),parent(t2:3)],[f_13_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
student(michael),
inference(extension,[status(thm),parent(t8:2)],[f_4_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ course(csc410)
| teaches(coordinatorof(csc410),csc410) ),
inference(extension,[status(thm),parent(t8:3)],[f_12_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
course(csc410),
inference(extension,[status(thm),parent(t12:2)],[f_6_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ course(csc410)
| professor(coordinatorof(csc410)) ),
inference(extension,[status(thm),parent(t8:4)],[f_7_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:4]) ).
cnf(t18,plain,
course(csc410),
inference(extension,[status(thm),parent(t16:2)],[f_6_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
enrolled(michael,csc410),
inference(extension,[status(thm),parent(t8:5)],[f_14_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t8:5]) ).
cnf(t22,plain,
course(csc410),
inference(extension,[status(thm),parent(t8:6)],[f_6_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t8:6]) ).
cnf(t24,plain,
coordinatorof(csc410) = victor,
inference(extension,[status(thm),parent(t2:4)],[f_15_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ131+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n009.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 19 20:04:50 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.13/5.40 % SZS status Theorem for theBenchmark
% 0.13/5.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------