%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n007.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 08:14:43 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 12 unt; 3 nHn; 19 RR)
% Number of literals : 34 ( 13 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_UNITY_Oall__total__imp__totalize_0,axiom,
( c_UNITY_Ototalize(V_F,T_a) = V_F
| ~ c_UNITY_Oall__total(V_F,T_a) ),
file('theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
cnf(cls_UNITY_Oall__total__totalize_0,axiom,
c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
file('theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_5,axiom,
( c_UNITY_Oall__total(Eq_y_0,Eq_y_1)
| ~ c_UNITY_Oall__total(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,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_0]) ).
cnf(t2,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(extension,[status(thm),parent(t1:1)],[cls_UNITY_Oall__total__imp__totalize_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(extension,[status(thm),parent(t2:2)],[cls_conjecture_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
$false,
inference(reduction,[status(thm),parent(t4:2)],[t4:2,t1:1]) ).
cnf(t7,plain,
( t_a != t_a
| ~ c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(extension,[status(thm),parent(t1:2)],[equality_5]) ).
cnf(t8,plain,
$false,
inference(connection,[status(thm),parent(t7:1)],[t7:1,t1:2]) ).
cnf(t9,plain,
( c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(extension,[status(thm),parent(t7:2)],[cls_conjecture_1]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t7:2]) ).
cnf(t11,plain,
$false,
inference(reduction,[status(thm),parent(t9:2)],[t9:2,t1:2]) ).
cnf(t12,plain,
c_UNITY_Oall__total(c_UNITY_Ototalize(v_F,t_a),t_a),
inference(extension,[status(thm),parent(t7:3)],[cls_UNITY_Oall__total__totalize_0]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t7:3]) ).
cnf(t14,plain,
t_a = t_a,
inference(extension,[status(thm),parent(t7:4)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t7:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43 % Computer : n007.cluster.edu
% 0.20/0.43 % Model : x86_64 x86_64
% 0.20/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.43 % Memory : 8046.5625MB
% 0.20/0.43 % OS : Linux 6.8.0-71-generic
% 0.20/0.43 % CPULimit : 300
% 0.20/0.43 % WCLimit : 300
% 0.20/0.43 % DateTime : Sun Sep 20 15:10:34 UTC 2026
% 0.20/0.43 % CPUTime :
% 0.20/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------