%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:40:12 EDT 2024
% Result : Unsatisfiable 0.70s 0.86s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 7 unt; 3 nHn; 13 RR)
% Number of literals : 26 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn)
% 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))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetI_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X6,X5,X7),X5,X7)
| c_lessequals(X6,X5,tc_set(X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X3,X2,X4),X3,X4)
| c_lessequals(X3,X2,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OUnionE_1,axiom,
( ~ c_in(X10,c_Union(X11,X12),X12)
| c_in(X10,c_Main_OUnionE__1(X10,X11,X12),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
cnf(c1,plain,
( c_in(c_Main_OsubsetI__1(c_Union(X33,X34),X32,X34),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X33,X34),X32,X34),X33,X34),X34)
| c_lessequals(c_Union(X33,X34),X32,tc_set(X34)) ),
inference(resolution,[status(thm)],[cls_Set_OUnionE_1,cls_Set_OsubsetI_0]) ).
cnf(c22,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(X14,X15,X16)
| ~ c_lessequals(X15,X13,tc_set(X16))
| c_in(X14,X13,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Set_OUnionE_0,axiom,
( ~ c_in(X20,c_Union(X21,X22),X22)
| c_in(c_Main_OUnionE__1(X20,X21,X22),X21,tc_set(X22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
cnf(c5,plain,
( c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X43,X45),X44,X45),X43,X45),X43,tc_set(X45))
| c_lessequals(c_Union(X43,X45),X44,tc_set(X45)) ),
inference(resolution,[status(thm)],[cls_Set_OUnionE_0,cls_Set_OsubsetI_0]) ).
cnf(c28,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(c194,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)],[c28,cls_conjecture_4]) ).
cnf(c302,plain,
( ~ c_in(X278,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(X278,v_m,tc_set(t_a)) ),
inference(resolution,[status(thm)],[c194,cls_Set_OsubsetD_0]) ).
cnf(c708,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)],[c302,c22]) ).
cnf(c726,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c708,cls_Set_OsubsetI_1]) ).
cnf(c734,plain,
$false,
inference(resolution,[status(thm)],[c726,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : SET842-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:41:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.70/0.86 % Version: 1.5
% 0.70/0.86 % SZS status Unsatisfiable
% 0.70/0.86 % SZS output start CNFRefutation
% See solution above
% 0.70/0.86
% 0.70/0.86 % Initial clauses : 7
% 0.70/0.86 % Processed clauses : 50
% 0.70/0.86 % Factors computed : 14
% 0.70/0.86 % Resolvents computed: 737
% 0.70/0.86 % Tautologies deleted: 1
% 0.70/0.86 % Forward subsumed : 39
% 0.70/0.86 % Backward subsumed : 0
% 0.70/0.86 % -------- CPU Time ---------
% 0.70/0.86 % User time : 0.491 s
% 0.70/0.86 % System time : 0.014 s
% 0.70/0.86 % Total time : 0.505 s
%------------------------------------------------------------------------------