TSTP Solution File: SWV398+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWV398+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : Tue May 21 05:34:42 EDT 2024
% Result : Theorem 144.04s 18.66s
% Output : CNFRefutation 144.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 10 unt; 0 def)
% Number of atoms : 226 ( 55 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 217 ( 69 ~; 112 |; 21 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 231 ( 66 sgn 84 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax48,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax48) ).
fof(ax47,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax47) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(l24_co,conjecture,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_co) ).
fof(l26_li4142,lemma,
! [X1,X2,X3] :
( check_cpq(triple(X1,X2,X3))
<=> ! [X4,X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l26_li4142) ).
fof(ax37,axiom,
! [X1,X2,X3,X4,X5] :
( less_than(X5,X4)
=> ( check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))
<=> check_cpq(triple(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax37) ).
fof(ax49,axiom,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax49) ).
fof(reflexivity,axiom,
! [X1] : less_than(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',reflexivity) ).
fof(l34_l35,lemma,
! [X1] :
( ? [X2,X3] :
( pair_in_list(X1,X2,X3)
& strictly_less_than(X2,X3) )
=> ! [X4] :
? [X5,X6] :
( pair_in_list(update_slb(X1,X4),X5,X6)
& strictly_less_than(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_l35) ).
fof(ax36,axiom,
! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax36) ).
fof(c_0_11,plain,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_simplification,[status(thm)],[ax48]) ).
fof(c_0_12,plain,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& ~ contains_slb(X2,findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad) ),
inference(fof_simplification,[status(thm)],[ax47]) ).
fof(c_0_13,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[stricly_smaller_definition]) ).
fof(c_0_14,plain,
! [X57,X58,X59] :
( X58 = create_slb
| ~ contains_slb(X58,findmin_pqp_res(X57))
| ~ strictly_less_than(findmin_pqp_res(X57),lookup_slb(X58,findmin_pqp_res(X57)))
| findmin_cpq_eff(triple(X57,X58,X59)) = triple(X57,update_slb(X58,findmin_pqp_res(X57)),bad) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])]) ).
fof(c_0_15,plain,
! [X82,X83,X84] :
( X83 = create_slb
| contains_slb(X83,findmin_pqp_res(X82))
| findmin_cpq_eff(triple(X82,X83,X84)) = triple(X82,update_slb(X83,findmin_pqp_res(X82)),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,plain,
! [X51,X52] :
( ( less_than(X51,X52)
| ~ strictly_less_than(X51,X52) )
& ( ~ less_than(X52,X51)
| ~ strictly_less_than(X51,X52) )
& ( ~ less_than(X51,X52)
| less_than(X52,X51)
| strictly_less_than(X51,X52) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_17,plain,
! [X44,X45] :
( less_than(X44,X45)
| less_than(X45,X44) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_18,plain,
( X1 = create_slb
| findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
| ~ contains_slb(X1,findmin_pqp_res(X2))
| ~ strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( X1 = create_slb
| contains_slb(X1,findmin_pqp_res(X2))
| findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,negated_conjecture,
~ ! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l24_co])]) ).
cnf(c_0_23,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
| X2 = create_slb
| ~ strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,lemma,
! [X22,X23,X24,X25,X26,X27,X28,X31] :
( ( ~ check_cpq(triple(X22,X23,X24))
| ~ pair_in_list(X23,X25,X26)
| less_than(X26,X25) )
& ( pair_in_list(X28,esk4_2(X27,X28),esk5_2(X27,X28))
| check_cpq(triple(X27,X28,X31)) )
& ( ~ less_than(esk5_2(X27,X28),esk4_2(X27,X28))
| check_cpq(triple(X27,X28,X31)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[l26_li4142])])])])])])]) ).
fof(c_0_26,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ check_cpq(triple(X12,insert_slb(X13,pair(X15,X16)),X14))
| check_cpq(triple(X12,X13,X14))
| ~ less_than(X16,X15) )
& ( ~ check_cpq(triple(X12,X13,X14))
| check_cpq(triple(X12,insert_slb(X13,pair(X15,X16)),X14))
| ~ less_than(X16,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
fof(c_0_27,plain,
! [X1,X2,X3,X4] :
( ( X2 != create_slb
& contains_slb(X2,findmin_pqp_res(X1))
& less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) )
=> findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3) ),
inference(fof_simplification,[status(thm)],[ax49]) ).
fof(c_0_28,negated_conjecture,
( ~ check_cpq(triple(esk1_0,esk2_0,esk3_0))
& check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_29,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
| X2 = create_slb
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,lemma,
( less_than(X5,X4)
| ~ check_cpq(triple(X1,X2,X3))
| ~ pair_in_list(X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))
| ~ check_cpq(triple(X1,X2,X3))
| ~ less_than(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X85,X86,X87] :
( X86 = create_slb
| ~ contains_slb(X86,findmin_pqp_res(X85))
| ~ less_than(lookup_slb(X86,findmin_pqp_res(X85)),findmin_pqp_res(X85))
| findmin_cpq_eff(triple(X85,X86,X87)) = triple(X85,update_slb(X86,findmin_pqp_res(X85)),X87) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_33,negated_conjecture,
check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = findmin_cpq_eff(triple(X1,X2,X4))
| X2 = create_slb
| less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_35,plain,
( findmin_cpq_eff(triple(X1,X2,X3)) = findmin_cpq_eff(triple(X1,X2,X4))
| X2 = create_slb
| contains_slb(X2,findmin_pqp_res(X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_36,lemma,
( less_than(X1,X2)
| ~ check_cpq(triple(X3,X4,X5))
| ~ pair_in_list(insert_slb(X4,pair(X6,X7)),X2,X1)
| ~ less_than(X7,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,lemma,
( pair_in_list(X1,esk4_2(X2,X1),esk5_2(X2,X1))
| check_cpq(triple(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ less_than(esk5_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( X1 = create_slb
| findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3)
| ~ contains_slb(X1,findmin_pqp_res(X2))
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_42,lemma,
( check_cpq(triple(X1,insert_slb(X2,pair(X3,X4)),X5))
| ~ check_cpq(triple(X6,X2,X7))
| ~ less_than(X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,insert_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),pair(X2,X3)),X4))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X5)))
| ~ check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X6)))
| ~ less_than(X3,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_45,plain,
! [X46] : less_than(X46,X46),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_46,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(X1,insert_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),pair(X2,X3)),X4))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X5)))
| ~ less_than(X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
cnf(c_0_47,plain,
less_than(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,plain,
( check_cpq(triple(X1,X2,X5))
| ~ check_cpq(triple(X1,insert_slb(X2,pair(X3,X4)),X5))
| ~ less_than(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(X1,insert_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),pair(X2,X2)),X3))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X4))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(X1,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X2))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_47])]) ).
cnf(c_0_52,lemma,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| less_than(X1,X2)
| ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X2)))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X3))) ),
inference(spm,[status(thm)],[c_0_51,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_55,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X2))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_38]) ).
cnf(c_0_56,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X2))) ),
inference(ef,[status(thm)],[c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
| esk2_0 = create_slb
| check_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_54]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1))) ),
inference(ef,[status(thm)],[c_0_56]) ).
fof(c_0_59,lemma,
! [X60,X61,X62,X63] :
( ( pair_in_list(update_slb(X60,X63),esk6_2(X60,X63),esk7_2(X60,X63))
| ~ pair_in_list(X60,X61,X62)
| ~ strictly_less_than(X61,X62) )
& ( strictly_less_than(esk6_2(X60,X63),esk7_2(X60,X63))
| ~ pair_in_list(X60,X61,X62)
| ~ strictly_less_than(X61,X62) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l34_l35])])])])])]) ).
cnf(c_0_60,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,insert_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),pair(X2,X3)),X4))
| ~ less_than(X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_57]),c_0_58]),c_0_42]) ).
cnf(c_0_61,lemma,
( strictly_less_than(esk6_2(X1,X2),esk7_2(X1,X2))
| ~ pair_in_list(X1,X3,X4)
| ~ strictly_less_than(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_62,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,insert_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),pair(X2,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_60,c_0_47]) ).
cnf(c_0_63,lemma,
( pair_in_list(update_slb(X1,X2),esk6_2(X1,X2),esk7_2(X1,X2))
| ~ pair_in_list(X1,X3,X4)
| ~ strictly_less_than(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,lemma,
( check_cpq(triple(X1,X2,X3))
| strictly_less_than(esk6_2(X2,X4),esk7_2(X2,X4))
| ~ strictly_less_than(esk4_2(X1,X2),esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_37]) ).
cnf(c_0_65,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_62]),c_0_47])]) ).
cnf(c_0_66,lemma,
( check_cpq(triple(X1,X2,X3))
| pair_in_list(update_slb(X2,X4),esk6_2(X2,X4),esk7_2(X2,X4))
| ~ strictly_less_than(esk4_2(X1,X2),esk5_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_37]) ).
cnf(c_0_67,plain,
( ~ less_than(X1,X2)
| ~ strictly_less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_68,lemma,
( check_cpq(triple(X1,X2,X3))
| strictly_less_than(esk6_2(X2,X4),esk7_2(X2,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_24]),c_0_38]) ).
cnf(c_0_69,lemma,
( esk2_0 = create_slb
| less_than(X1,X2)
| ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_65]) ).
cnf(c_0_70,lemma,
( check_cpq(triple(X1,X2,X3))
| pair_in_list(update_slb(X2,X4),esk6_2(X2,X4),esk7_2(X2,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_24]),c_0_38]) ).
cnf(c_0_71,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ less_than(esk7_2(X2,X4),esk6_2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_73,lemma,
( esk2_0 = create_slb
| check_cpq(triple(X1,esk2_0,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
fof(c_0_74,plain,
! [X10,X11] : check_cpq(triple(X10,create_slb,X11)),
inference(variable_rename,[status(thm)],[ax36]) ).
cnf(c_0_75,negated_conjecture,
esk2_0 = create_slb,
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
check_cpq(triple(X1,create_slb,X2)),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV398+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 08:23:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order model finding
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.04/18.66 # Version: 3.1.0
% 144.04/18.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 144.04/18.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 144.04/18.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 144.04/18.66 # Starting new_bool_3 with 300s (1) cores
% 144.04/18.66 # Starting new_bool_1 with 300s (1) cores
% 144.04/18.66 # Starting sh5l with 300s (1) cores
% 144.04/18.66 # new_bool_3 with pid 23868 completed with status 0
% 144.04/18.66 # Result found by new_bool_3
% 144.04/18.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 144.04/18.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 144.04/18.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 144.04/18.66 # Starting new_bool_3 with 300s (1) cores
% 144.04/18.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 144.04/18.66 # Search class: FGHSM-FFMF31-MFFFFFNN
% 144.04/18.66 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 144.04/18.66 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 144.04/18.66 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 23871 completed with status 0
% 144.04/18.66 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 144.04/18.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 144.04/18.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 144.04/18.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 144.04/18.66 # Starting new_bool_3 with 300s (1) cores
% 144.04/18.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 144.04/18.66 # Search class: FGHSM-FFMF31-MFFFFFNN
% 144.04/18.66 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 144.04/18.66 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 144.04/18.66 # Preprocessing time : 0.002 s
% 144.04/18.66 # Presaturation interreduction done
% 144.04/18.66
% 144.04/18.66 # Proof found!
% 144.04/18.66 # SZS status Theorem
% 144.04/18.66 # SZS output start CNFRefutation
% See solution above
% 144.04/18.66 # Parsed axioms : 44
% 144.04/18.66 # Removed by relevancy pruning/SinE : 16
% 144.04/18.66 # Initial clauses : 41
% 144.04/18.66 # Removed in clause preprocessing : 1
% 144.04/18.66 # Initial clauses in saturation : 40
% 144.04/18.66 # Processed clauses : 22822
% 144.04/18.66 # ...of these trivial : 2
% 144.04/18.66 # ...subsumed : 18179
% 144.04/18.66 # ...remaining for further processing : 4641
% 144.04/18.66 # Other redundant clauses eliminated : 11
% 144.04/18.66 # Clauses deleted for lack of memory : 0
% 144.04/18.66 # Backward-subsumed : 409
% 144.04/18.66 # Backward-rewritten : 155
% 144.04/18.66 # Generated clauses : 985294
% 144.04/18.66 # ...of the previous two non-redundant : 975360
% 144.04/18.66 # ...aggressively subsumed : 0
% 144.04/18.66 # Contextual simplify-reflections : 99
% 144.04/18.66 # Paramodulations : 980932
% 144.04/18.66 # Factorizations : 4352
% 144.04/18.66 # NegExts : 0
% 144.04/18.66 # Equation resolutions : 11
% 144.04/18.66 # Disequality decompositions : 0
% 144.04/18.66 # Total rewrite steps : 32101
% 144.04/18.66 # ...of those cached : 31069
% 144.04/18.66 # Propositional unsat checks : 0
% 144.04/18.66 # Propositional check models : 0
% 144.04/18.66 # Propositional check unsatisfiable : 0
% 144.04/18.66 # Propositional clauses : 0
% 144.04/18.66 # Propositional clauses after purity: 0
% 144.04/18.66 # Propositional unsat core size : 0
% 144.04/18.66 # Propositional preprocessing time : 0.000
% 144.04/18.66 # Propositional encoding time : 0.000
% 144.04/18.66 # Propositional solver time : 0.000
% 144.04/18.66 # Success case prop preproc time : 0.000
% 144.04/18.66 # Success case prop encoding time : 0.000
% 144.04/18.66 # Success case prop solver time : 0.000
% 144.04/18.66 # Current number of processed clauses : 4035
% 144.04/18.66 # Positive orientable unit clauses : 14
% 144.04/18.66 # Positive unorientable unit clauses: 0
% 144.04/18.66 # Negative unit clauses : 4
% 144.04/18.66 # Non-unit-clauses : 4017
% 144.04/18.66 # Current number of unprocessed clauses: 950413
% 144.04/18.66 # ...number of literals in the above : 6912147
% 144.04/18.66 # Current number of archived formulas : 0
% 144.04/18.66 # Current number of archived clauses : 604
% 144.04/18.66 # Clause-clause subsumption calls (NU) : 4399289
% 144.04/18.66 # Rec. Clause-clause subsumption calls : 676880
% 144.04/18.66 # Non-unit clause-clause subsumptions : 16951
% 144.04/18.66 # Unit Clause-clause subsumption calls : 1448
% 144.04/18.66 # Rewrite failures with RHS unbound : 0
% 144.04/18.66 # BW rewrite match attempts : 33
% 144.04/18.66 # BW rewrite match successes : 4
% 144.04/18.66 # Condensation attempts : 0
% 144.04/18.66 # Condensation successes : 0
% 144.04/18.66 # Termbank termtop insertions : 25938959
% 144.04/18.66 # Search garbage collected termcells : 697
% 144.04/18.66
% 144.04/18.66 # -------------------------------------------------
% 144.04/18.66 # User time : 17.442 s
% 144.04/18.66 # System time : 0.562 s
% 144.04/18.66 # Total time : 18.004 s
% 144.04/18.66 # Maximum resident set size: 1852 pages
% 144.04/18.66
% 144.04/18.66 # -------------------------------------------------
% 144.04/18.66 # User time : 17.446 s
% 144.04/18.66 # System time : 0.563 s
% 144.04/18.66 # Total time : 18.009 s
% 144.04/18.66 # Maximum resident set size: 1752 pages
% 144.04/18.66 % E---3.1 exiting
%------------------------------------------------------------------------------