%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA026-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 : Thu Jul 14 19:26:48 EDT 2022
% Result : Unsatisfiable 7.83s 7.98s
% Output : Refutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 28
% Syntax : Number of clauses : 84 ( 49 unt; 8 nHn; 39 RR)
% Number of literals : 129 ( 34 equ; 46 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 125 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_g(X),v_k(X),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,Z,X) = c_plus(Y,c_uminus(Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_HOL_Oabs(c_uminus(Y,X),X) = c_HOL_Oabs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).
cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| ~ c_lessequals(Y,c_0,X)
| c_HOL_Oabs(Y,X) = c_uminus(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X)
| ~ c_lessequals(Y,Z,X)
| c_lessequals(c_plus(U,Y,X),c_plus(U,Z,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__left_1) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X)
| ~ c_lessequals(c_plus(Y,Z,X),c_plus(U,Z,X),X)
| c_lessequals(Y,U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X)
| c_plus(c_0,Y,X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__10_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(c_plus(Y,Z,X),Z,X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__2_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_plus(Y,c_minus(Z,U,X),X) = c_minus(c_plus(Y,Z,X),U,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__4_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(c_minus(Y,Z,X),U,X) = c_minus(Y,c_plus(Z,U,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__4_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X)
| ~ c_lessequals(Y,c_plus(Z,U,X),X)
| c_lessequals(c_minus(Y,U,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
cnf(cls_OrderedGroup_Odiff__self_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_minus(Y,Y,X) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X)
| c_uminus(c_minus(Y,Z,X),X) = c_minus(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X)
| c_less(Y,Z,X)
| c_lessequals(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Z,X)
| c_lessequals(c_Orderings_Omax(U,Y,X),Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Y,X)
| c_lessequals(U,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Z,X)
| c_lessequals(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_OrderedGroup_Opordered__ab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_6,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Ocomm__monoid__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Olinorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_LOrder_Ojoin__semilorder(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__group__add(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(32,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).
cnf(33,plain,
class_Orderings_Olinorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(34,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_35,tfree_tcs]) ).
cnf(35,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).
cnf(36,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(37,plain,
c_plus(c_0,X,t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,32]) ).
cnf(39,plain,
( c_less(X,Y,t_b)
| c_lessequals(Y,X,t_b) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Olinorder__not__le_0,33]) ).
cnf(42,plain,
class_Orderings_Oorder(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_LOrder_Ojoin__semilorder_1,34]) ).
cnf(43,plain,
c_minus(X,X,t_b) = c_0,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Odiff__self_0,35]) ).
cnf(44,plain,
c_minus(c_plus(X,Y,t_b),Y,t_b) = X,
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__10_1,35]) ).
cnf(45,plain,
c_uminus(c_minus(X,Y,t_b),t_b) = c_minus(Y,X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ominus__diff__eq_0,35]) ).
cnf(46,plain,
c_minus(X,Y,t_b) = c_plus(X,c_uminus(Y,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0,35]) ).
cnf(47,plain,
c_minus(c_minus(X,Y,t_b),Z,t_b) = c_minus(X,c_plus(Y,Z,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__4_0,35]) ).
cnf(49,plain,
c_plus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_plus(X,Y,t_b),Z,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__2_0,35]) ).
cnf(50,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_6,36]) ).
cnf(51,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_OrderedGroup_Olordered__ab__group__abs_1,36]) ).
cnf(52,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,36]) ).
cnf(53,plain,
c_HOL_Oabs(c_uminus(X,t_b),t_b) = c_HOL_Oabs(X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__minus__cancel_0,36]) ).
cnf(55,plain,
c_lessequals(c_plus(X,v_g(Y),t_b),c_plus(X,v_k(Y),t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__left_1,50,cls_conjecture_1]) ).
cnf(59,plain,
( ~ c_lessequals(X,Y,t_b)
| c_lessequals(c_minus(X,Y,t_b),c_0,t_b) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1,37,theory(equality)]),51]) ).
cnf(64,plain,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_0,t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,52,42,cls_conjecture_2]) ).
cnf(65,plain,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,52,33,cls_conjecture_2]) ).
cnf(68,plain,
( c_less(c_0,X,t_b)
| c_HOL_Oabs(X,t_b) = c_uminus(X,t_b) ),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,39,36]) ).
cnf(100,plain,
c_uminus(c_0,t_b) = c_0,
inference('PARAMODULATE',[status(thm)],[45,43,theory(equality)]) ).
cnf(101,plain,
c_uminus(X,t_b) = c_minus(c_minus(Y,X,t_b),Y,t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,44,theory(equality)]),47,theory(equality)]) ).
cnf(103,plain,
c_minus(c_0,X,t_b) = c_uminus(X,t_b),
inference('PARAMODULATE',[status(thm)],[37,46,theory(equality)]) ).
cnf(106,plain,
c_minus(c_minus(X,Y,t_b),c_uminus(Y,t_b),t_b) = X,
inference('PARAMODULATE',[status(thm)],[44,46,theory(equality)]) ).
cnf(107,plain,
c_minus(X,c_minus(Y,Z,t_b),t_b) = c_minus(c_plus(X,Z,t_b),Y,t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,45,theory(equality)]),49,theory(equality)]) ).
cnf(108,plain,
c_minus(X,c_0,t_b) = X,
inference('REWRITE',[status(thm)],[44,43,107,theory(equality)]) ).
cnf(111,plain,
( ~ c_lessequals(c_minus(X,Y,t_b),c_minus(Z,Y,t_b),t_b)
| c_lessequals(X,Z,t_b) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__right_0,46,theory(equality)]),46,50,theory(equality)]) ).
cnf(113,plain,
c_uminus(c_uminus(X,t_b),t_b) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,103,theory(equality)]),108,theory(equality)]) ).
cnf(115,plain,
c_minus(X,c_uminus(Y,t_b),t_b) = c_plus(X,Y,t_b),
inference('PARAMODULATE',[status(thm)],[46,113,theory(equality)]) ).
cnf(123,plain,
c_lessequals(c_minus(X,c_uminus(v_g(Y),t_b),t_b),c_minus(X,c_uminus(v_k(Y),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[55,115,theory(equality)]) ).
cnf(158,plain,
c_lessequals(c_uminus(c_HOL_Oabs(X,t_b),t_b),c_0,t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,52]),103,theory(equality)]) ).
cnf(159,plain,
( c_less(X,Y,t_b)
| c_lessequals(c_minus(Y,X,t_b),c_0,t_b) ),
inference('HYPERRESOLVE',[status(thm)],[59,39]) ).
cnf(169,plain,
c_lessequals(c_minus(X,c_HOL_Oabs(Y,t_b),t_b),X,t_b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__left_1,158,50]),108,100,113,115,theory(equality)]) ).
cnf(192,plain,
( c_HOL_Oabs(X,t_b) = c_uminus(X,t_b)
| c_lessequals(c_0,X,t_b) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,68,42]) ).
cnf(250,plain,
X = c_minus(Y,c_minus(Y,X,t_b),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,101,theory(equality)]),113,theory(equality)]) ).
cnf(254,plain,
c_minus(c_uminus(X,t_b),c_uminus(Y,t_b),t_b) = c_minus(Y,X,t_b),
inference('PARAMODULATE',[status(thm)],[106,101,theory(equality)]) ).
cnf(378,plain,
( c_less(X,c_0,t_b)
| c_lessequals(c_uminus(X,t_b),c_0,t_b) ),
inference('PARAMODULATE',[status(thm)],[159,103,theory(equality)]) ).
cnf(466,plain,
c_HOL_Oabs(c_0,t_b) = c_0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,192,36]),100,theory(equality)]) ).
cnf(507,plain,
c_lessequals(X,X,t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[169,466,theory(equality)]),108,theory(equality)]) ).
cnf(608,plain,
( c_less(X,c_0,t_b)
| c_HOL_Oabs(X,t_b) = X ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__of__nonpos_0,378,36]),113,53,theory(equality)]) ).
cnf(633,plain,
( c_HOL_Oabs(X,t_b) = X
| c_lessequals(X,c_0,t_b) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Orderings_Oorder__less__imp__le_0,608,42]) ).
cnf(639,plain,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,64,33,507]) ).
cnf(871,plain,
~ c_lessequals(v_f(v_x),v_k(v_x),t_b),
inference('UR-RESOLVE',[status(thm)],[59,639]) ).
cnf(891,plain,
~ c_lessequals(v_f(v_x),v_g(v_x),t_b),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,871,42,cls_conjecture_1]) ).
cnf(978,plain,
( ~ c_lessequals(c_minus(X,Y,t_b),c_0,t_b)
| c_lessequals(X,Y,t_b) ),
inference('PARAMODULATE',[status(thm)],[111,43,theory(equality)]) ).
cnf(1009,plain,
~ c_lessequals(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b),
inference('UR-RESOLVE',[status(thm)],[978,891]) ).
cnf(1636,plain,
c_minus(c_minus(X,Y,t_b),c_uminus(Z,t_b),t_b) = c_minus(Z,c_minus(Y,X,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[254,45,theory(equality)]) ).
cnf(9322,plain,
c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = c_minus(v_f(v_x),v_g(v_x),t_b),
inference('HYPERRESOLVE',[status(thm)],[1009,633]) ).
cnf(9325,plain,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference('REWRITE',[status(thm)],[65,9322,theory(equality)]) ).
cnf(9355,plain,
~ c_lessequals(v_f(v_x),c_minus(v_k(v_x),c_minus(v_g(v_x),v_f(v_x),t_b),t_b),t_b),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1,9325,51]),1636,115,theory(equality)]) ).
cnf(10118,plain,
c_lessequals(c_minus(v_g(X),Y,t_b),c_minus(v_k(X),Y,t_b),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[123,254,theory(equality)]),254,theory(equality)]) ).
cnf(10260,plain,
c_lessequals(X,c_minus(v_k(Y),c_minus(v_g(Y),X,t_b),t_b),t_b),
inference('PARAMODULATE',[status(thm)],[10118,250,theory(equality)]) ).
cnf(10261,plain,
$false,
inference('REWRITE',[status(thm)],[9355,10260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA026-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 04:47:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:47:42
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-08T04:47:42
% 7.83/7.98
% 7.83/7.98
% 7.83/7.98 #||
% 7.83/7.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.83/7.98 % SZS output start Refutation
% See solution above
% 7.85/8.01 ||#
% 7.85/8.01
% 7.85/8.01 ; Summary of computation:
% 7.85/8.01 ; 20510 formulas have been input or derived (from 272 formulas).
% 7.85/8.01 ; 10261 (50%) were retained. Of these,
% 7.85/8.01 ; 180 ( 2%) were simplified or subsumed later,
% 7.85/8.01 ; 10081 (98%) are still being kept.
% 7.85/8.01 ;
% 7.85/8.01 ; Run time in seconds excluding printing time:
% 7.85/8.01 ; 0.003 0% Read assertion file (1 call)
% 7.85/8.01 ; 0.001 0% Assert (31 calls)
% 7.85/8.01 ; 0.860 11% Process new row (19,714 calls)
% 7.85/8.01 ; 0.714 9% Resolution (542 calls)
% 7.85/8.01 ; 0.020 0% Paramodulation (271 calls)
% 7.85/8.01 ; 0.002 0% Factoring (66 calls)
% 7.85/8.01 ; 0.102 1% Condensing (11,420 calls)
% 7.85/8.01 ; 2.379 32% Forward subsumption (11,420 calls)
% 7.85/8.01 ; 1.257 17% Backward subsumption (8,433 calls)
% 7.85/8.01 ; 1.455 19% Clause clause subsumption (745,194 calls)
% 7.85/8.01 ; 0.511 7% Forward simplification (19,687 calls)
% 7.85/8.01 ; 0.037 0% Backward simplification (10,261 calls)
% 7.85/8.01 ; 0.085 1% Ordering (41,568 calls)
% 7.85/8.01 ; 0.000 0% Sortal reasoning (32 calls)
% 7.85/8.01 ; 0.000 0% Purity testing (1 call)
% 7.85/8.01 ; 0.091 1% Other
% 7.85/8.01 ; 7.517 Total
% 7.85/8.01 ; 7.540 Real time
% 7.85/8.01 ;
% 7.85/8.01 ; Term-hash-array has 11,270 terms in all.
% 7.85/8.01 ; Feature-vector-row-index has 8,343 entries (8,343 at peak, 8,433 added, 90 deleted).
% 7.85/8.01 ; Feature-vector-row-index has 20,211 nodes (20,211 at peak, 20,473 added, 262 deleted).
% 7.85/8.01 ; Retrieved 617,143 possibly forward subsuming rows in 11,420 calls.
% 7.85/8.01 ; Retrieved 215,559 possibly backward subsumed rows in 8,433 calls.
% 7.85/8.01 ; Path-index has 11,059 entries (11,060 at peak, 11,327 added, 268 deleted).
% 7.85/8.01 ; Path-index has 7,774 nodes (7,774 at peak, 7,982 added, 208 deleted).
% 7.85/8.01 ; Trie-index has 11,059 entries (11,060 at peak, 11,327 added, 268 deleted).
% 7.85/8.01 ; Trie-index has 54,297 nodes (54,304 at peak, 55,739 added, 1,442 deleted).
% 7.85/8.01 ; Retrieved 83,359 generalization terms in 81,591 calls.
% 7.85/8.01 ; Retrieved 3,392 instance terms in 1,843 calls.
% 7.85/8.01 ; Retrieved 724,073 unifiable terms in 10,656 calls.
% 7.85/8.01 ;
% 7.85/8.01 ; The agenda of rows to process has 218 entries:
% 7.85/8.01 ; 1 with value 22 8 with value 31 8 with value 41
% 7.85/8.01 ; 4 with value 23 12 with value 32 11 with value 42
% 7.85/8.01 ; 8 with value 24 7 with value 33 4 with value 43
% 7.85/8.01 ; 6 with value 25 13 with value 34 4 with value 44
% 7.85/8.01 ; 9 with value 26 20 with value 35 4 with value 46
% 7.85/8.01 ; 4 with value 27 10 with value 36 2 with value 47
% 7.85/8.01 ; 8 with value 28 14 with value 38 8 with value 48
% 7.85/8.01 ; 10 with value 29 19 with value 39 2 with value 50
% 7.85/8.01 ; 10 with value 30 12 with value 40
% 7.85/8.01 ; The agenda of rows to give has 9823 entries:
% 7.85/8.01 ; 1 with value (4 21) 653 with value (4 36) 36 with value (4 50)
% 7.85/8.01 ; 3 with value (4 22) 537 with value (4 37) 20 with value (4 51)
% 7.85/8.01 ; 83 with value (4 23) 493 with value (4 38) 12 with value (4 52)
% 7.85/8.01 ; 147 with value (4 24) 405 with value (4 39) 22 with value (4 53)
% 7.85/8.01 ; 170 with value (4 25) 350 with value (4 40) 18 with value (4 54)
% 7.85/8.01 ; 223 with value (4 26) 252 with value (4 41) 4 with value (4 55)
% 7.85/8.01 ; 336 with value (4 27) 226 with value (4 42) 28 with value (4 56)
% 7.85/8.01 ; 349 with value (4 28) 167 with value (4 43) 14 with value (4 57)
% 7.85/8.01 ; 490 with value (4 29) 124 with value (4 44) 20 with value (4 59)
% 7.85/8.01 ; 514 with value (4 30) 107 with value (4 45) 12 with value (4 60)
% 7.85/8.01 ; 721 with value (4 31) 96 with value (4 46) 10 with value (4 61)
% 7.85/8.01 ; 713 with value (4 32) 66 with value (4 47) 6 with value (4 62)
% 7.85/8.01 ; 682 with value (4 33) 70 with value (4 48) 2 with value (4 63)
% 7.85/8.01 ; 838 with value (4 34) 39 with value (4 49) 8 with value (4 65)
% 7.85/8.01 ; 756 with value (4 35)
% 7.85/8.01 Evaluation took:
% 7.85/8.01 7.542 seconds of real time
% 7.85/8.01 6.526199 seconds of user run time
% 7.85/8.01 1.015459 seconds of system run time
% 7.85/8.01 [Run times include 0.955 seconds GC run time.]
% 7.85/8.01 0 calls to %EVAL
% 7.85/8.01 0 page faults and
% 7.85/8.01 794,094,616 bytes consed.
% 7.85/8.01 :PROOF-FOUND
% 7.85/8.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:47:50
% 7.85/8.01 :PROOF-FOUND
% 7.85/8.01 *
%------------------------------------------------------------------------------