%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV404+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 5 05:22:06 PM UTC 2026
% Result : Theorem 18.77s 11.58s
% Output : CNFRefutation 18.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 16 unt; 0 def)
% Number of atoms : 216 ( 71 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 194 ( 64 ~; 96 |; 17 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 174 ( 26 sgn 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
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/sandbox2/benchmark/Axioms/SWV007+3.ax',ax48) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(l40_co,conjecture,
! [X1,X2,X3] :
( ( check_cpq(removemin_cpq_eff(triple(X1,X2,X3)))
& ok(removemin_cpq_eff(triple(X1,X2,X3))) )
=> check_cpq(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_co) ).
fof(ax52,axiom,
! [X1] : removemin_cpq_eff(X1) = remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax52) ).
fof(ax51,axiom,
! [X1,X2,X3,X4] :
( X2 != create_slb
=> findmin_cpq_res(triple(X1,X2,X3)) = findmin_pqp_res(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax51) ).
fof(ax43,axiom,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax43) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(ax45,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& strictly_less_than(X4,lookup_slb(X2,X4)) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax45) ).
fof(ax44,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& less_than(lookup_slb(X2,X4),X4) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax44) ).
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/sandbox2/benchmark/Axioms/SWV007+3.ax',ax49) ).
fof(l40_l27,lemma,
! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> check_cpq(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_l27) ).
fof(l40_l34,lemma,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_l34) ).
fof(ax36,axiom,
! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax36) ).
fof(c_0_15,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_16,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_17,plain,
! [X233,X234,X235] :
( X234 = create_slb
| ~ contains_slb(X234,findmin_pqp_res(X233))
| ~ strictly_less_than(findmin_pqp_res(X233),lookup_slb(X234,findmin_pqp_res(X233)))
| findmin_cpq_eff(triple(X233,X234,X235)) = triple(X233,update_slb(X234,findmin_pqp_res(X233)),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax48])])]) ).
fof(c_0_18,plain,
! [X230,X231,X232] :
( X231 = create_slb
| contains_slb(X231,findmin_pqp_res(X230))
| findmin_cpq_eff(triple(X230,X231,X232)) = triple(X230,update_slb(X231,findmin_pqp_res(X230)),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,plain,
! [X139,X140] :
( ( less_than(X139,X140)
| ~ strictly_less_than(X139,X140) )
& ( ~ less_than(X140,X139)
| ~ strictly_less_than(X139,X140) )
& ( ~ less_than(X139,X140)
| less_than(X140,X139)
| strictly_less_than(X139,X140) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X136,X137] :
( less_than(X136,X137)
| less_than(X137,X136) ),
inference(variable_rename,[status(thm)],[totality]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1,X2,X3] :
( ( check_cpq(removemin_cpq_eff(triple(X1,X2,X3)))
& ok(removemin_cpq_eff(triple(X1,X2,X3))) )
=> check_cpq(triple(X1,X2,X3)) ),
inference(assume_negation,[status(cth)],[l40_co]) ).
cnf(c_0_22,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_17]) ).
cnf(c_0_23,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_18]) ).
cnf(c_0_24,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,negated_conjecture,
( check_cpq(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
& ok(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)))
& ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_27,plain,
! [X244] : removemin_cpq_eff(X244) = remove_cpq(findmin_cpq_eff(X244),findmin_cpq_res(X244)),
inference(variable_rename,[status(thm)],[ax52]) ).
cnf(c_0_28,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_22,c_0_23]) ).
cnf(c_0_29,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
ok(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
removemin_cpq_eff(X1) = remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,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_28,c_0_29]) ).
fof(c_0_33,plain,
! [X241,X242,X243] :
( X242 = create_slb
| findmin_cpq_res(triple(X241,X242,X243)) = findmin_pqp_res(X241) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax51])])]) ).
cnf(c_0_34,negated_conjecture,
ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
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_23,c_0_23]) ).
fof(c_0_36,plain,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
inference(fof_simplification,[status(thm)],[ax43]) ).
fof(c_0_37,plain,
! [X1,X2] : ~ ok(triple(X1,X2,bad)),
inference(fof_simplification,[status(thm)],[ax40]) ).
cnf(c_0_38,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_32,c_0_32]) ).
cnf(c_0_39,plain,
( X1 = create_slb
| findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_41,plain,
! [X216,X217,X218,X219] :
( contains_slb(X217,X219)
| remove_cpq(triple(X216,X217,X218),X219) = triple(X216,X217,bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_42,plain,
! [X207,X208] : ~ ok(triple(X207,X208,bad)),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_43,plain,
! [X224,X225,X226,X227] :
( ~ contains_slb(X225,X227)
| ~ strictly_less_than(X227,lookup_slb(X225,X227))
| remove_cpq(triple(X224,X225,X226),X227) = triple(remove_pqp(X224,X227),remove_slb(X225,X227),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
cnf(c_0_44,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
fof(c_0_45,plain,
! [X220,X221,X222,X223] :
( ~ contains_slb(X221,X223)
| ~ less_than(lookup_slb(X221,X223),X223)
| remove_cpq(triple(X220,X221,X222),X223) = triple(remove_pqp(X220,X223),remove_slb(X221,X223),X222) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])]) ).
cnf(c_0_46,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_pqp_res(esk1_0))) ),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_48,plain,
( contains_slb(X1,X2)
| remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),bad)
| ~ contains_slb(X1,X2)
| ~ strictly_less_than(X2,lookup_slb(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_52,plain,
( remove_cpq(triple(X3,X1,X4),X2) = triple(remove_pqp(X3,X2),remove_slb(X1,X2),X4)
| ~ contains_slb(X1,X2)
| ~ less_than(lookup_slb(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),findmin_pqp_res(esk1_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_55,plain,
( ~ ok(remove_cpq(triple(X1,X2,X3),X4))
| ~ contains_slb(X2,X4)
| ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_49]) ).
cnf(c_0_57,plain,
( ~ ok(remove_cpq(triple(X1,X2,bad),X3))
| ~ contains_slb(X2,X3)
| ~ less_than(lookup_slb(X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( esk2_0 = create_slb
| ok(remove_cpq(triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad),findmin_pqp_res(esk1_0)))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_23]) ).
cnf(c_0_59,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_60,negated_conjecture,
( esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| ~ strictly_less_than(findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)),lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
( esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| ~ less_than(lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_51]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| ~ strictly_less_than(findmin_pqp_res(esk1_0),lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_59]) ).
fof(c_0_63,plain,
! [X236,X237,X238] :
( X237 = create_slb
| ~ contains_slb(X237,findmin_pqp_res(X236))
| ~ less_than(lookup_slb(X237,findmin_pqp_res(X236)),findmin_pqp_res(X236))
| findmin_cpq_eff(triple(X236,X237,X238)) = triple(X236,update_slb(X237,findmin_pqp_res(X236)),X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax49])])]) ).
cnf(c_0_64,negated_conjecture,
( esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| ~ strictly_less_than(findmin_pqp_res(esk1_0),lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
( esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0))
| ~ less_than(lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_39]) ).
cnf(c_0_66,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| ~ less_than(lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0))
| less_than(lookup_slb(update_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_29]) ).
fof(c_0_68,lemma,
! [X246,X247,X248,X249] :
( ~ check_cpq(remove_cpq(triple(X246,X247,X248),X249))
| ~ ok(remove_cpq(triple(X246,X247,X248),X249))
| check_cpq(triple(X246,X247,X248)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l40_l27])]) ).
cnf(c_0_69,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_63]) ).
cnf(c_0_70,negated_conjecture,
( esk2_0 = create_slb
| less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_29]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( esk2_0 = create_slb
| contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_39]),c_0_67]) ).
fof(c_0_72,lemma,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_simplification,[status(thm)],[l40_l34]) ).
cnf(c_0_73,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ check_cpq(remove_cpq(triple(X1,X2,X3),X4))
| ~ ok(remove_cpq(triple(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,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 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_75,negated_conjecture,
check_cpq(removemin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_76,lemma,
! [X250,X251,X252] :
( check_cpq(triple(X250,X251,X252))
| ~ check_cpq(findmin_cpq_eff(triple(X250,X251,X252))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
cnf(c_0_77,lemma,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2))
| ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,X1)),X2)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
check_cpq(remove_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0)),findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))),
inference(rw,[status(thm)],[c_0_75,c_0_31]) ).
cnf(c_0_79,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ check_cpq(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( esk2_0 = create_slb
| check_cpq(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_34]),c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_82,plain,
! [X191,X192] : check_cpq(triple(X191,create_slb,X192)),
inference(variable_rename,[status(thm)],[ax36]) ).
cnf(c_0_83,lemma,
esk2_0 = create_slb,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_84,plain,
check_cpq(triple(X1,create_slb,X2)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_83]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV404+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 05:08:54 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 18.77/11.58 % Version : CSE_E---1.7
% 18.77/11.58 % Problem : theBenchmark.p
% 18.77/11.58 % SZS status Theorem for theBenchmark.p
% 18.77/11.58 % SZS output start CNFRefutation
% See solution above
% 18.88/11.65 % Total time : 8.383s
%------------------------------------------------------------------------------