%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM011-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:17:42 EDT 2024
% Result : Unsatisfiable 0.39s 0.59s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 9 unt; 2 nHn; 15 RR)
% Number of literals : 34 ( 0 equ; 13 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 : 38 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_WFair_OleadsTo__Basis_0,axiom,
( ~ c_in(X16,c_WFair_Oensures(X14,X15,X17),tc_UNITY_Oprogram(X17))
| c_in(X16,c_WFair_OleadsTo(X14,X15,X17),tc_UNITY_Oprogram(X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_WFair_Otransient__strengthen_0,axiom,
( ~ c_in(X20,c_WFair_Otransient(X18,X21),tc_UNITY_Oprogram(X21))
| ~ c_lessequals(X19,X18,tc_set(X21))
| c_in(X20,c_WFair_Otransient(X19,X21),tc_UNITY_Oprogram(X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).
cnf(c3,plain,
( ~ c_lessequals(X22,v_A,tc_set(t_a))
| c_in(v_F,c_WFair_Otransient(X22,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(resolution,[status(thm)],[cls_WFair_Otransient__strengthen_0,cls_conjecture_1]) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X9,X10,X11),X10,X11)
| c_lessequals(X9,X10,tc_set(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_ODiffE_1,axiom,
( ~ c_in(X4,c_minus(X2,X3,tc_set(X5)),X5)
| c_in(X4,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X6,X7,X8),X6,X8)
| c_lessequals(X6,X7,tc_set(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c0,plain,
( c_lessequals(c_minus(X32,X30,tc_set(X29)),X31,tc_set(X29))
| c_in(c_Main_OsubsetI__1(c_minus(X32,X30,tc_set(X29)),X31,X29),X32,X29) ),
inference(resolution,[status(thm)],[cls_Set_OsubsetI_0,cls_Set_ODiffE_1]) ).
cnf(c13,plain,
c_lessequals(c_minus(X35,X34,tc_set(X33)),X35,tc_set(X33)),
inference(resolution,[status(thm)],[c0,cls_Set_OsubsetI_1]) ).
cnf(c18,plain,
c_in(v_F,c_WFair_Otransient(c_minus(v_A,X36,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[status(thm)],[c13,c3]) ).
cnf(cls_WFair_OensuresI_0,axiom,
( ~ c_in(X39,c_UNITY_Oconstrains(c_minus(X37,X38,tc_set(X40)),c_union(X37,X38,X40),X40),tc_UNITY_Oprogram(X40))
| ~ c_in(X39,c_WFair_Otransient(c_minus(X37,X38,tc_set(X40)),X40),tc_UNITY_Oprogram(X40))
| c_in(X39,c_WFair_Oensures(X37,X38,X40),tc_UNITY_Oprogram(X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).
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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_UNITY_Oconstrains__weaken__L_0,axiom,
( ~ c_in(X27,c_UNITY_Oconstrains(X26,X24,X25),tc_UNITY_Oprogram(X25))
| ~ c_lessequals(X23,X26,tc_set(X25))
| c_in(X27,c_UNITY_Oconstrains(X23,X24,X25),tc_UNITY_Oprogram(X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).
cnf(c7,plain,
( ~ c_lessequals(X46,v_A,tc_set(t_a))
| c_in(v_F,c_UNITY_Oconstrains(X46,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
inference(resolution,[status(thm)],[cls_UNITY_Oconstrains__weaken__L_0,cls_conjecture_0]) ).
cnf(c30,plain,
c_in(v_F,c_UNITY_Oconstrains(c_minus(v_A,X54,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[status(thm)],[c7,c13]) ).
cnf(c33,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_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
inference(resolution,[status(thm)],[c30,cls_WFair_OensuresI_0]) ).
cnf(c86,plain,
c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[status(thm)],[c33,c18]) ).
cnf(c91,plain,
c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
inference(resolution,[status(thm)],[c86,cls_WFair_OleadsTo__Basis_0]) ).
cnf(c106,plain,
$false,
inference(resolution,[status(thm)],[c91,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : COM011-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 07:08:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.39/0.59 % Version: 1.5
% 0.39/0.59 % SZS status Unsatisfiable
% 0.39/0.59 % SZS output start CNFRefutation
% See solution above
% 0.39/0.59
% 0.39/0.59 % Initial clauses : 10
% 0.39/0.59 % Processed clauses : 40
% 0.39/0.59 % Factors computed : 1
% 0.39/0.59 % Resolvents computed: 106
% 0.39/0.59 % Tautologies deleted: 0
% 0.39/0.59 % Forward subsumed : 15
% 0.39/0.59 % Backward subsumed : 1
% 0.39/0.59 % -------- CPU Time ---------
% 0.39/0.59 % User time : 0.226 s
% 0.39/0.59 % System time : 0.010 s
% 0.39/0.59 % Total time : 0.236 s
%------------------------------------------------------------------------------