%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET821-2 : 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 : n001.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 08:57:31 AM UTC 2026
% Result : Unsatisfiable 5.80s 6.11s
% Output : Proof 5.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of clauses : 107 ( 74 unt; 17 nHn; 94 RR)
% Number of literals : 172 ( 36 equ; 56 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OComplD__dest_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
| ~ c_in(V_a,V_B,T_a) ),
file('theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_a,V_U,tc_IntDef_Oint)
| ~ c_in(v_b,V_U,tc_IntDef_Oint)
| c_in(v_c,V_U,tc_IntDef_Oint) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('theBenchmark.p',clsarity_IntDef__Oint_31) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_8,axiom,
( c_less(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_less(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ c_less(v_b,v_b,tc_IntDef_Oint)
| ~ class_Orderings_Oorder(tc_IntDef_Oint) ),
inference(start,[status(thm),parent(0:0)],[cls_Orderings_Oorder__less__irrefl__iff1_0]) ).
cnf(t2,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
inference(extension,[status(thm),parent(t1:1)],[clsarity_IntDef__Oint_31]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( v_c != v_b
| tc_IntDef_Oint != tc_IntDef_Oint
| ~ c_less(v_b,v_c,tc_IntDef_Oint)
| v_b != v_b
| c_less(v_b,v_b,tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t1:2)],[equality_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
( c_in(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| ~ c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| v_b = v_b ),
inference(extension,[status(thm),parent(t4:2)],[cls_Set_OinsertE_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( v_b = v_b
| ~ c_in(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t6:2)],[cls_Set_OinsertE_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( v_b = v_b
| ~ c_in(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t8:2)],[cls_Set_OinsertE_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( v_b = v_b
| ~ c_in(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t10:2)],[cls_Set_OinsertE_0]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
c_in(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t12:2)],[cls_Set_OinsertCI_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
$false,
inference(reduction,[status(thm),parent(t12:3)],[t12:3,t4:2]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t10:3)],[t10:3,t4:2]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t8:3)],[t8:3,t4:2]) ).
cnf(t19,plain,
( c_in(v_a,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| c_in(v_c,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| ~ c_in(v_b,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t6:3)],[cls_conjecture_2]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t6:3]) ).
cnf(t21,plain,
( ~ c_in(v_c,c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_c,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t19:2)],[cls_Set_OComplD__dest_0]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
c_in(v_c,c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t21:2)],[cls_Set_OinsertCI_1]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t21:2]) ).
cnf(t25,plain,
( ~ c_in(v_a,c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_a,c_uminus(c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t19:3)],[cls_Set_OComplD__dest_0]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t19:3]) ).
cnf(t27,plain,
( ~ c_in(v_a,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_c,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t25:2)],[cls_Set_OinsertCI_0]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
c_in(v_a,c_insert(v_a,U_400,tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t27:2)],[cls_Set_OinsertCI_1]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t27:2]) ).
cnf(l3,lemma,
v_b = v_b,
inference(lemma,[status(cth),parent(t4:2),below(t1:2)],[t4:2]) ).
cnf(t31,plain,
c_less(v_b,v_c,tc_IntDef_Oint),
inference(extension,[status(thm),parent(t4:3)],[cls_conjecture_1]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t4:3]) ).
cnf(t33,plain,
( c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434)
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434)
| tc_IntDef_Oint = tc_IntDef_Oint ),
inference(extension,[status(thm),parent(t4:4)],[cls_Set_OinsertE_0]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t4:4]) ).
cnf(t35,plain,
( tc_IntDef_Oint = tc_IntDef_Oint
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434)
| c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434) ),
inference(extension,[status(thm),parent(t33:2)],[cls_Set_OinsertE_0]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t33:2]) ).
cnf(t37,plain,
( tc_IntDef_Oint = tc_IntDef_Oint
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434),U_434)
| c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434) ),
inference(extension,[status(thm),parent(t35:2)],[cls_Set_OinsertE_0]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t35:2]) ).
cnf(t39,plain,
( tc_IntDef_Oint = tc_IntDef_Oint
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434),U_434),U_434)
| c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434),U_434) ),
inference(extension,[status(thm),parent(t37:2)],[cls_Set_OinsertE_0]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434),U_434),U_434),U_434),U_434),
inference(extension,[status(thm),parent(t39:2)],[cls_Set_OinsertCI_1]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).
cnf(t43,plain,
$false,
inference(reduction,[status(thm),parent(t39:3)],[t39:3,t4:4]) ).
cnf(t44,plain,
$false,
inference(reduction,[status(thm),parent(t37:3)],[t37:3,t4:4]) ).
cnf(t45,plain,
$false,
inference(reduction,[status(thm),parent(t35:3)],[t35:3,t4:4]) ).
cnf(t46,plain,
( c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434)
| tc_IntDef_Oint = tc_IntDef_Oint
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434),U_434) ),
inference(extension,[status(thm),parent(t33:3)],[cls_Set_OinsertE_0]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t33:3]) ).
cnf(t48,plain,
$false,
inference(reduction,[status(thm),parent(t46:2)],[t46:2,t4:4]) ).
cnf(t49,plain,
( c_in(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434)
| tc_IntDef_Oint = tc_IntDef_Oint
| ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434),U_434) ),
inference(extension,[status(thm),parent(t46:3)],[cls_Set_OinsertE_0]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t46:3]) ).
cnf(t51,plain,
$false,
inference(reduction,[status(thm),parent(t49:2)],[t49:2,t4:4]) ).
cnf(t52,plain,
( ~ c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,U_433,U_434),U_434)
| ~ c_in(tc_IntDef_Oint,c_uminus(c_insert(tc_IntDef_Oint,U_433,U_434),tc_set(U_434)),U_434) ),
inference(extension,[status(thm),parent(t49:3)],[cls_Set_OComplD__dest_0]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t49:3]) ).
cnf(t54,plain,
c_in(tc_IntDef_Oint,c_insert(tc_IntDef_Oint,U_433,U_434),U_434),
inference(extension,[status(thm),parent(t52:2)],[cls_Set_OinsertCI_1]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(l18,lemma,
tc_IntDef_Oint = tc_IntDef_Oint,
inference(lemma,[status(cth),parent(t4:4),below(t1:2)],[t4:4]) ).
cnf(t56,plain,
( c_in(v_c,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| ~ c_in(v_c,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = v_b ),
inference(extension,[status(thm),parent(t4:5)],[cls_Set_OinsertE_0]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t4:5]) ).
cnf(t58,plain,
( ~ c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t56:2)],[cls_conjecture_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
( c_in(v_a,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| v_a = v_b
| ~ c_in(v_a,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t58:2)],[cls_Set_OinsertE_0]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
( v_b != v_b
| tc_IntDef_Oint != tc_IntDef_Oint
| ~ c_less(v_a,v_b,tc_IntDef_Oint)
| c_less(v_b,v_b,tc_IntDef_Oint)
| v_a != v_b ),
inference(extension,[status(thm),parent(t60:2)],[equality_8]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
$false,
inference(reduction,[status(thm),parent(t62:2)],[t62:2,t1:2]) ).
cnf(t65,plain,
c_less(v_a,v_b,tc_IntDef_Oint),
inference(extension,[status(thm),parent(t62:3)],[cls_conjecture_0]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t62:3]) ).
cnf(t67,plain,
tc_IntDef_Oint = tc_IntDef_Oint,
inference(lemma_extension,[status(thm),parent(t62:4)],[l18:1]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t62:4]) ).
cnf(t69,plain,
v_b = v_b,
inference(lemma_extension,[status(thm),parent(t62:5)],[l3:1]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t62:5]) ).
cnf(t71,plain,
( ~ c_in(v_a,c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_a,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t60:3)],[cls_Set_OComplD__dest_0]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t60:3]) ).
cnf(t73,plain,
c_in(v_a,c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t71:2)],[cls_Set_OinsertCI_1]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t71:2]) ).
cnf(t75,plain,
( v_b = v_b
| ~ c_in(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t58:3)],[cls_Set_OinsertE_0]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t58:3]) ).
cnf(t77,plain,
c_in(v_b,c_insert(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t75:2)],[cls_Set_OinsertCI_1]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t75:2]) ).
cnf(t79,plain,
( c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) != c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| tc_IntDef_Oint != tc_IntDef_Oint
| ~ c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint)
| v_b != v_b ),
inference(extension,[status(thm),parent(t75:3)],[equality_9]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t75:3]) ).
cnf(t81,plain,
$false,
inference(reduction,[status(thm),parent(t79:2)],[t79:2,t58:3]) ).
cnf(t82,plain,
c_in(v_b,c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t79:3)],[cls_Set_OinsertCI_1]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t79:3]) ).
cnf(t84,plain,
tc_IntDef_Oint = tc_IntDef_Oint,
inference(extension,[status(thm),parent(t79:4)],[equality_1]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t79:4]) ).
cnf(t86,plain,
c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) = c_insert(v_b,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t79:5)],[equality_1]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t79:5]) ).
cnf(t88,plain,
( ~ c_in(v_c,c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_c,c_uminus(c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t56:3)],[cls_Set_OComplD__dest_0]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t56:3]) ).
cnf(t90,plain,
( ~ c_in(v_c,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_a,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t88:2)],[cls_Set_OinsertCI_0]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
c_in(v_c,c_insert(v_c,U_482,tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t90:2)],[cls_Set_OinsertCI_1]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET821-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_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
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 23:06:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 5.80/6.11 % SZS status Unsatisfiable for theBenchmark
% 5.80/6.11 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------