%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COM011-2 : 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 : n003.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 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 51 ( 28 unt; 5 nHn; 50 RR)
% Number of literals : 82 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_ODiffE_1,axiom,
( c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) ),
file('theBenchmark.p',cls_Set_ODiffE_1) ).
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_UNITY_Oconstrains__weaken__L_0,axiom,
( c_in(V_F,c_UNITY_Oconstrains(V_B,V_A_H,T_a),tc_UNITY_Oprogram(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_in(V_F,c_UNITY_Oconstrains(V_A,V_A_H,T_a),tc_UNITY_Oprogram(T_a)) ),
file('theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
cnf(cls_WFair_OensuresI_0,axiom,
( c_in(V_F,c_WFair_Oensures(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a))
| ~ c_in(V_F,c_WFair_Otransient(c_minus(V_A,V_B,tc_set(T_a)),T_a),tc_UNITY_Oprogram(T_a))
| ~ c_in(V_F,c_UNITY_Oconstrains(c_minus(V_A,V_B,tc_set(T_a)),c_union(V_A,V_B,T_a),T_a),tc_UNITY_Oprogram(T_a)) ),
file('theBenchmark.p',cls_WFair_OensuresI_0) ).
cnf(cls_WFair_OleadsTo__Basis_0,axiom,
( c_in(V_F,c_WFair_OleadsTo(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a))
| ~ c_in(V_F,c_WFair_Oensures(V_A,V_B,T_a),tc_UNITY_Oprogram(T_a)) ),
file('theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
cnf(cls_WFair_Otransient__strengthen_0,axiom,
( c_in(V_F,c_WFair_Otransient(V_B,T_a),tc_UNITY_Oprogram(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_in(V_F,c_WFair_Otransient(V_A,T_a),tc_UNITY_Oprogram(T_a)) ),
file('theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
cnf(t1,plain,
~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_2]) ).
cnf(t2,plain,
( ~ c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t1:1)],[cls_WFair_OleadsTo__Basis_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
| ~ c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,v_B,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t2:2)],[cls_WFair_OensuresI_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| ~ c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,v_B,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t4:2)],[cls_UNITY_Oconstrains__weaken__L_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ c_lessequals(v_A,v_A,tc_set(t_a))
| ~ c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t6:2)],[cls_UNITY_Oconstrains__weaken__L_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
inference(extension,[status(thm),parent(t8:2)],[cls_conjecture_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ c_in(c_Main_OsubsetI__1(v_A,v_A,t_a),v_A,t_a)
| c_lessequals(v_A,v_A,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t8:3)],[cls_Set_OsubsetI_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( c_lessequals(v_A,v_A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_A,v_A,t_a),v_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,t8:3]) ).
cnf(t17,plain,
( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),v_A,t_a)
| c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t6:3)],[cls_Set_OsubsetI_1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t6:3]) ).
cnf(t19,plain,
( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,v_B,tc_set(t_a)),t_a)
| c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),v_A,t_a) ),
inference(extension,[status(thm),parent(t17:2)],[cls_Set_ODiffE_1]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
( c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,v_B,tc_set(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,t6:3]) ).
cnf(t24,plain,
( ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t4:3)],[cls_WFair_Otransient__strengthen_0]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t4:3]) ).
cnf(t26,plain,
( ~ c_lessequals(v_A,v_A,tc_set(t_a))
| ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
| c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(extension,[status(thm),parent(t24:2)],[cls_WFair_Otransient__strengthen_0]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
inference(extension,[status(thm),parent(t26:2)],[cls_conjecture_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ c_in(c_Main_OsubsetI__1(v_A,v_A,t_a),v_A,t_a)
| c_lessequals(v_A,v_A,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t26:3)],[cls_Set_OsubsetI_1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( c_lessequals(v_A,v_A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_A,v_A,t_a),v_A,t_a) ),
inference(extension,[status(thm),parent(t30:2)],[cls_Set_OsubsetI_0]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
$false,
inference(reduction,[status(thm),parent(t32:2)],[t32:2,t26:3]) ).
cnf(t35,plain,
( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),v_A,t_a)
| c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
inference(extension,[status(thm),parent(t24:3)],[cls_Set_OsubsetI_1]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t24:3]) ).
cnf(t37,plain,
( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,v_B,tc_set(t_a)),t_a)
| c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),v_A,t_a) ),
inference(extension,[status(thm),parent(t35:2)],[cls_Set_ODiffE_1]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t35:2]) ).
cnf(t39,plain,
( c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),v_A,t_a),c_minus(v_A,v_B,tc_set(t_a)),t_a) ),
inference(extension,[status(thm),parent(t37:2)],[cls_Set_OsubsetI_0]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
$false,
inference(reduction,[status(thm),parent(t39:2)],[t39:2,t24:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 15:11:44 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------