TSTP Solution File: SET834-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 04:40:34 EDT 2022
% Result : Unsatisfiable 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
input ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
input ).
cnf(cls_Set_OUnE_0,axiom,
( ~ c_in(X24,c_union(X27,X26,X25),X25)
| c_in(X24,X26,X25)
| c_in(X24,X27,X25) ),
input ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,v_X,t_a),
input ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X20,X22,X21)
| ~ c_lessequals(X22,X23,tc_set(X21))
| c_in(X20,X23,X21) ),
input ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X17,X15,X16),X15,X16)
| c_lessequals(X17,X15,tc_set(X16)) ),
input ).
cnf(cls_Set_OUnCI_1,axiom,
( ~ c_in(X7,X9,X8)
| c_in(X7,c_union(X9,X10,X8),X8) ),
input ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X14,X12,X13),X14,X13)
| c_lessequals(X14,X12,tc_set(X13)) ),
input ).
cnf(c7,plain,
( c_lessequals(X54,X53,tc_set(X56))
| c_in(c_Main_OsubsetI__1(X54,X53,X56),c_union(X54,X55,X56),X56) ),
inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OUnCI_1]) ).
cnf(c51,plain,
c_lessequals(X57,c_union(X57,X58,X59),tc_set(X59)),
inference(resolution,status(thm),[c7,cls_Set_OsubsetI_1]) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(v_X,X37,tc_set(t_a))
| ~ c_lessequals(v_Z,X37,tc_set(t_a))
| ~ c_lessequals(v_Y,X37,tc_set(t_a)) ),
input ).
cnf(cls_Set_OUnCI_0,axiom,
( ~ c_in(X2,X4,X3)
| c_in(X2,c_union(X5,X4,X3),X3) ),
input ).
cnf(c6,plain,
( c_lessequals(X46,X48,tc_set(X49))
| c_in(c_Main_OsubsetI__1(X46,X48,X49),c_union(X47,X46,X49),X49) ),
inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OUnCI_0]) ).
cnf(c42,plain,
c_lessequals(X50,c_union(X52,X50,X51),tc_set(X51)),
inference(resolution,status(thm),[c6,cls_Set_OsubsetI_1]) ).
cnf(c44,plain,
( c_lessequals(v_X,c_union(X285,v_Y,t_a),tc_set(t_a))
| ~ c_lessequals(v_Z,c_union(X285,v_Y,t_a),tc_set(t_a)) ),
inference(resolution,status(thm),[c42,cls_conjecture_5]) ).
cnf(c651,plain,
c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a)),
inference(resolution,status(thm),[c44,c51]) ).
cnf(c656,plain,
( ~ c_in(X298,v_X,t_a)
| c_in(X298,c_union(v_Z,v_Y,t_a),t_a) ),
inference(resolution,status(thm),[c651,cls_Set_OsubsetD_0]) ).
cnf(c672,plain,
c_in(v_x,c_union(v_Z,v_Y,t_a),t_a),
inference(resolution,status(thm),[c656,cls_conjecture_2]) ).
cnf(c695,plain,
( c_in(v_x,v_Y,t_a)
| c_in(v_x,v_Z,t_a) ),
inference(resolution,status(thm),[c672,cls_Set_OUnE_0]) ).
cnf(c707,plain,
c_in(v_x,v_Z,t_a),
inference(resolution,status(thm),[c695,cls_conjecture_4]) ).
cnf(c730,plain,
$false,
inference(resolution,status(thm),[c707,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 03:50:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.60/0.83 # Version: 1.3
% 0.60/0.83 # SZS status Unsatisfiable
% 0.60/0.83 # SZS output start CNFRefutation
% See solution above
% 0.60/0.83
% 0.60/0.83 # Initial clauses : 10
% 0.60/0.83 # Processed clauses : 73
% 0.60/0.83 # Factors computed : 2
% 0.60/0.83 # Resolvents computed: 729
% 0.60/0.83 # Tautologies deleted: 1
% 0.60/0.83 # Forward subsumed : 49
% 0.60/0.83 # Backward subsumed : 1
% 0.60/0.83 # -------- CPU Time ---------
% 0.60/0.83 # User time : 0.446 s
% 0.60/0.83 # System time : 0.018 s
% 0.60/0.83 # Total time : 0.464 s
%------------------------------------------------------------------------------