TSTP Solution File: SET842-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 04:40:40 EDT 2022
% Result : Unsatisfiable 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
input ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X7,X5,X6),X5,X6)
| c_lessequals(X7,X5,tc_set(X6)) ),
input ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X4,X2,X3),X4,X3)
| c_lessequals(X4,X2,tc_set(X3)) ),
input ).
cnf(cls_Set_OUnionE_1,axiom,
( ~ c_in(X12,c_Union(X11,X10),X10)
| c_in(X12,c_Main_OUnionE__1(X12,X11,X10),X10) ),
input ).
cnf(c1,plain,
( c_in(c_Main_OsubsetI__1(c_Union(X33,X32),X34,X32),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X33,X32),X34,X32),X33,X32),X32)
| c_lessequals(c_Union(X33,X32),X34,tc_set(X32)) ),
inference(resolution,status(thm),[cls_Set_OUnionE_1,cls_Set_OsubsetI_0]) ).
cnf(c23,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,status(thm),[c1,cls_conjecture_3]) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X15,X16,X14)
| ~ c_lessequals(X16,X13,tc_set(X14))
| c_in(X15,X13,X14) ),
input ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(X27,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X27,v_Y,tc_set(tc_set(t_a))) ),
input ).
cnf(cls_Set_OUnionE_0,axiom,
( ~ c_in(X22,c_Union(X21,X20),X20)
| c_in(c_Main_OUnionE__1(X22,X21,X20),X21,tc_set(X20)) ),
input ).
cnf(c5,plain,
( c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X44,X43),X45,X43),X44,X43),X44,tc_set(X43))
| c_lessequals(c_Union(X44,X43),X45,tc_set(X43)) ),
inference(resolution,status(thm),[cls_Set_OUnionE_0,cls_Set_OsubsetI_0]) ).
cnf(c29,plain,
c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c5,cls_conjecture_3]) ).
cnf(c196,plain,
c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c29,cls_conjecture_4]) ).
cnf(c329,plain,
( ~ c_in(X270,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X270,v_m,tc_set(t_a)) ),
inference(resolution,status(thm),[c196,cls_Set_OsubsetD_0]) ).
cnf(c676,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
inference(resolution,status(thm),[c329,c23]) ).
cnf(c695,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,status(thm),[c676,cls_Set_OsubsetI_1]) ).
cnf(c705,plain,
$false,
inference(resolution,status(thm),[c695,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET842-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 05:23:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.61/0.82 # Version: 1.3
% 0.61/0.82 # SZS status Unsatisfiable
% 0.61/0.82 # SZS output start CNFRefutation
% See solution above
% 0.61/0.82
% 0.61/0.82 # Initial clauses : 7
% 0.61/0.82 # Processed clauses : 48
% 0.61/0.82 # Factors computed : 14
% 0.61/0.82 # Resolvents computed: 692
% 0.61/0.82 # Tautologies deleted: 1
% 0.61/0.82 # Forward subsumed : 37
% 0.61/0.82 # Backward subsumed : 0
% 0.61/0.82 # -------- CPU Time ---------
% 0.61/0.82 # User time : 0.457 s
% 0.61/0.82 # System time : 0.019 s
% 0.61/0.82 # Total time : 0.476 s
%------------------------------------------------------------------------------