%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET830-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n014.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 08:57:33 AM UTC 2026
% Result : Unsatisfiable 30.95s 36.28s
% Output : Proof 30.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 19 unt; 3 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OIntE_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OIntE_0) ).
cnf(cls_Set_OIntE_1,axiom,
( c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OIntE_1) ).
cnf(cls_Set_OIntI_0,axiom,
( c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('theBenchmark.p',cls_Set_OIntI_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_x,v_Z,t_a),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_lessequals(V_U,v_Y,tc_set(t_a))
| ~ c_lessequals(V_U,v_Z,tc_set(t_a))
| c_lessequals(V_U,v_X,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(t1,plain,
c_in(v_x,v_Z,t_a),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_3]) ).
cnf(t2,plain,
( ~ c_in(v_x,v_Y,t_a)
| c_in(v_x,c_inter(v_Y,v_Z,t_a),t_a)
| ~ c_in(v_x,v_Z,t_a) ),
inference(extension,[status(thm),parent(t1:1)],[cls_Set_OIntI_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_in(v_x,v_X,t_a)
| ~ c_in(v_x,c_inter(v_Y,v_Z,t_a),t_a) ),
inference(extension,[status(thm),parent(t2:2)],[cls_Set_OsubsetD_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ c_in(v_x,v_X,t_a),
inference(extension,[status(thm),parent(t4:2)],[cls_conjecture_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t4:3)],[cls_conjecture_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t8:2)],[cls_Set_OsubsetI_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),c_inter(v_Y,v_Z,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),v_Y,t_a) ),
inference(extension,[status(thm),parent(t10:2)],[cls_Set_OIntE_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_Y,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Y,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(extension,[status(thm),parent(t12:2)],[cls_Set_OsubsetI_0]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
$false,
inference(reduction,[status(thm),parent(t14:2)],[t14:2,t8:2]) ).
cnf(t17,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t8:3)],[cls_Set_OsubsetI_1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t8:3]) ).
cnf(t19,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),c_inter(v_Y,v_Z,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),v_Z,t_a) ),
inference(extension,[status(thm),parent(t17:2)],[cls_Set_OIntE_0]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_Z,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_inter(v_Y,v_Z,t_a),v_Z,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(extension,[status(thm),parent(t19:2)],[cls_Set_OsubsetI_0]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
$false,
inference(reduction,[status(thm),parent(t21:2)],[t21:2,t8:3]) ).
cnf(t24,plain,
c_in(v_x,v_Y,t_a),
inference(extension,[status(thm),parent(t2:3)],[cls_conjecture_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET830-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN 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
% 0.08/5.37 % Computer : n014.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sat Sep 19 23:01:57 UTC 2026
% 0.08/5.37 % CPUTime :
% 30.95/36.28 % SZS status Unsatisfiable for theBenchmark
% 30.95/36.28 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------