%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET845-2 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:40:13 EDT 2024
% Result : Unsatisfiable 75.39s 75.63s
% Output : Refutation 75.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 44 ( 26 equ; 20 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
v_m != c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(transitivity,axiom,
( X6 != X7
| X7 != X8
| X6 = X8 ),
theory(equality) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c15,plain,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m,
inference(resolution,[status(thm)],[cls_conjecture_1,symmetry]) ).
cnf(c17,plain,
( X66 != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| X66 = v_m ),
inference(resolution,[status(thm)],[c15,transitivity]) ).
cnf(cls_Set_OUnion__upper_0,axiom,
( ~ c_in(X9,X10,tc_set(X11))
| c_lessequals(X9,c_Union(X10,X11),tc_set(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
( ~ c_in(X26,c_Zorn_OTFin(X27,X28),tc_set(tc_set(X28)))
| c_in(c_Zorn_Osucc(X27,X26,X28),c_Zorn_OTFin(X27,X28),tc_set(tc_set(X28))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(c19,plain,
c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[cls_Zorn_OTFin_OsuccI_0,cls_conjecture_0]) ).
cnf(c118,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c19,cls_Set_OUnion__upper_0]) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( ~ c_lessequals(X21,X22,tc_set(X23))
| ~ c_lessequals(X22,X21,tc_set(X23))
| X22 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X18,c_Zorn_Osucc(X19,X18,X20),tc_set(tc_set(X20))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(c5,axiom,
( X70 != X68
| X69 != X67
| X71 != X72
| ~ c_lessequals(X70,X69,X71)
| c_lessequals(X68,X67,X72) ),
theory(equality) ).
cnf(c70,plain,
( X156 != X158
| c_Zorn_Osucc(X155,X156,X157) != X159
| tc_set(tc_set(X157)) != X154
| c_lessequals(X158,X159,X154) ),
inference(resolution,[status(thm)],[c5,cls_Zorn_OAbrial__axiom1_0]) ).
cnf(c437,plain,
( X163 != X164
| tc_set(tc_set(X161)) != X162
| c_lessequals(X164,c_Zorn_Osucc(X160,X163,X161),X162) ),
inference(resolution,[status(thm)],[c70,reflexivity]) ).
cnf(c441,plain,
( X166 != X167
| c_lessequals(X167,c_Zorn_Osucc(X168,X166,X165),tc_set(tc_set(X165))) ),
inference(resolution,[status(thm)],[c437,reflexivity]) ).
cnf(c443,plain,
c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Osucc(X190,v_m,X189),tc_set(tc_set(X189))),
inference(resolution,[status(thm)],[c441,cls_conjecture_1]) ).
cnf(c545,plain,
( ~ c_lessequals(c_Zorn_Osucc(X4087,v_m,X4086),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(X4086)))
| c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(X4087,v_m,X4086) ),
inference(resolution,[status(thm)],[c443,cls_Set_Osubset__antisym_0]) ).
cnf(c145602,plain,
c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,v_m,t_a),
inference(resolution,[status(thm)],[c545,c118]) ).
cnf(c145772,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(resolution,[status(thm)],[c145602,symmetry]) ).
cnf(c145928,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
inference(resolution,[status(thm)],[c145772,c17]) ).
cnf(c146163,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(resolution,[status(thm)],[c145928,symmetry]) ).
cnf(c146281,plain,
$false,
inference(resolution,[status(thm)],[c146163,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET845-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed May 8 19:38:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 75.39/75.63 % Version: 1.5
% 75.39/75.63 % SZS status Unsatisfiable
% 75.39/75.63 % SZS output start CNFRefutation
% See solution above
% 75.39/75.63
% 75.39/75.63 % Initial clauses : 16
% 75.39/75.63 % Processed clauses : 1218
% 75.39/75.63 % Factors computed : 35
% 75.39/75.63 % Resolvents computed: 146350
% 75.39/75.63 % Tautologies deleted: 2
% 75.39/75.63 % Forward subsumed : 806
% 75.39/75.63 % Backward subsumed : 221
% 75.39/75.63 % -------- CPU Time ---------
% 75.39/75.63 % User time : 74.789 s
% 75.39/75.63 % System time : 0.447 s
% 75.39/75.63 % Total time : 75.236 s
%------------------------------------------------------------------------------