TSTP Solution File: ALG371-1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ALG371-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:15:16 EDT 2024
% Result : Unsatisfiable 128.33s 128.52s
% Output : Refutation 128.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 9 unt; 4 nHn; 14 RR)
% Number of literals : 36 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X414)
| ~ c_lessequals(X415,X416,X414)
| ~ c_HOL_Oord__class_Oless(X416,X415,X414) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(c643,plain,
( ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[cls_less__le__not__le_1,cls_conjecture_0]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X440)
| ~ c_HOL_Oord__class_Oless(X442,X441,X440)
| ~ c_lessequals(X441,X442,X440) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(cls_norm__ge__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1648)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1649,X1648),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(c4841,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1650,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[cls_norm__ge__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c4860,plain,
( ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3318,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c4841,cls_linorder__not__less_1]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_not__leE_0,axiom,
( ~ class_Orderings_Olinorder(X417)
| c_HOL_Oord__class_Oless(X419,X418,X417)
| c_lessequals(X418,X419,X417) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(c645,plain,
( c_HOL_Oord__class_Oless(X425,X424,tc_RealDef_Oreal)
| c_lessequals(X424,X425,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[cls_not__leE_0,clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(cls_real__le__trans_0,axiom,
( c_lessequals(X2362,X2361,tc_RealDef_Oreal)
| ~ c_lessequals(X2363,X2361,tc_RealDef_Oreal)
| ~ c_lessequals(X2362,X2363,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
cnf(c8020,plain,
( c_lessequals(X5989,X5990,tc_RealDef_Oreal)
| ~ c_lessequals(X5991,X5990,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X5991,X5989,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[cls_real__le__trans_0,c645]) ).
cnf(c25352,plain,
( c_lessequals(X8881,v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),X8881,tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c8020,cls_conjecture_1]) ).
cnf(c104245,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c25352,c4860]) ).
cnf(c104298,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c104245,clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(c104466,plain,
~ class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c104298,c643]) ).
cnf(c104476,plain,
$false,
inference(resolution,[status(thm)],[c104466,clsarity_RealDef__Oreal__Orderings_Opreorder]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG371-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 00:31:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 128.33/128.52 % Version: 1.5
% 128.33/128.52 % SZS status Unsatisfiable
% 128.33/128.52 % SZS output start CNFRefutation
% See solution above
% 128.33/128.52
% 128.33/128.52 % Initial clauses : 570
% 128.33/128.52 % Processed clauses : 7786
% 128.33/128.52 % Factors computed : 232
% 128.33/128.52 % Resolvents computed: 104182
% 128.33/128.52 % Tautologies deleted: 83
% 128.33/128.52 % Forward subsumed : 3317
% 128.33/128.52 % Backward subsumed : 82
% 128.33/128.52 % -------- CPU Time ---------
% 128.33/128.52 % User time : 127.903 s
% 128.33/128.52 % System time : 0.256 s
% 128.33/128.52 % Total time : 128.159 s
%------------------------------------------------------------------------------