TSTP Solution File: SWV384+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 Aug 31 21:38:21 EDT 2023
% Result : Theorem 0.86s 0.89s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 91 ( 14 unt; 40 typ; 0 def)
% Number of atoms : 185 ( 15 equ)
% Maximal formula atoms : 42 ( 3 avg)
% Number of connectives : 246 ( 112 ~; 104 |; 11 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 25 >; 18 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 2 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 15 con; 0-3 aty)
% Number of variables : 115 ( 6 sgn; 66 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
less_than: ( $i * $i ) > $o ).
tff(decl_23,type,
strictly_less_than: ( $i * $i ) > $o ).
tff(decl_24,type,
bottom: $i ).
tff(decl_25,type,
create_slb: $i ).
tff(decl_26,type,
isnonempty_slb: $i > $o ).
tff(decl_27,type,
pair: ( $i * $i ) > $i ).
tff(decl_28,type,
insert_slb: ( $i * $i ) > $i ).
tff(decl_29,type,
contains_slb: ( $i * $i ) > $o ).
tff(decl_30,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
remove_slb: ( $i * $i ) > $i ).
tff(decl_32,type,
lookup_slb: ( $i * $i ) > $i ).
tff(decl_33,type,
update_slb: ( $i * $i ) > $i ).
tff(decl_34,type,
succ_cpq: ( $i * $i ) > $o ).
tff(decl_35,type,
insert_cpq: ( $i * $i ) > $i ).
tff(decl_36,type,
remove_cpq: ( $i * $i ) > $i ).
tff(decl_37,type,
findmin_cpq_eff: $i > $i ).
tff(decl_38,type,
removemin_cpq_eff: $i > $i ).
tff(decl_39,type,
triple: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
check_cpq: $i > $o ).
tff(decl_41,type,
contains_cpq: ( $i * $i ) > $o ).
tff(decl_42,type,
bad: $i ).
tff(decl_43,type,
ok: $i > $o ).
tff(decl_44,type,
insert_pqp: ( $i * $i ) > $i ).
tff(decl_45,type,
remove_pqp: ( $i * $i ) > $i ).
tff(decl_46,type,
findmin_pqp_res: $i > $i ).
tff(decl_47,type,
findmin_cpq_res: $i > $i ).
tff(decl_48,type,
removemin_cpq_res: $i > $i ).
tff(decl_49,type,
im_succ_cpq: $i > $i ).
tff(decl_50,type,
esk1_0: $i ).
tff(decl_51,type,
esk2_0: $i ).
tff(decl_52,type,
esk3_0: $i ).
tff(decl_53,type,
esk4_0: $i ).
tff(decl_54,type,
esk5_0: $i ).
tff(decl_55,type,
esk6_0: $i ).
tff(decl_56,type,
esk7_0: $i ).
tff(decl_57,type,
esk8_0: $i ).
tff(decl_58,type,
esk9_0: $i ).
tff(decl_59,type,
esk10_0: $i ).
tff(decl_60,type,
esk11_0: $i ).
tff(decl_61,type,
esk12_0: $i ).
fof(l20_induction,axiom,
( ! [X1,X2,X3,X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ( ~ check_cpq(triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X4,X5,X6)))
| ~ ok(im_succ_cpq(triple(X4,X5,X6))) ) ) )
=> ! [X7,X8,X9] :
( ( ~ check_cpq(triple(X7,X8,X9))
| ~ ok(triple(X7,X8,X9)) )
=> ! [X10,X11,X12] :
( succ_cpq(triple(X7,X8,X9),triple(X10,X11,X12))
=> ( ~ ok(triple(X10,X11,X12))
| ~ check_cpq(triple(X10,X11,X12)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
fof(l20_co,conjecture,
! [X1,X2,X3] :
( ( ~ check_cpq(triple(X1,X2,X3))
| ~ ok(triple(X1,X2,X3)) )
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
fof(ax41,axiom,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax41) ).
fof(l12_l13,lemma,
! [X1,X2,X3] :
( ( ~ check_cpq(triple(X1,X2,X3))
| ~ ok(triple(X1,X2,X3)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
| ~ ok(im_succ_cpq(triple(X1,X2,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(c_0_5,plain,
( ! [X1,X2,X3,X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ( ~ check_cpq(triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X4,X5,X6)))
| ~ ok(im_succ_cpq(triple(X4,X5,X6))) ) ) )
=> ! [X7,X8,X9] :
( ( ~ check_cpq(triple(X7,X8,X9))
| ~ ok(triple(X7,X8,X9)) )
=> ! [X10,X11,X12] :
( succ_cpq(triple(X7,X8,X9),triple(X10,X11,X12))
=> ( ~ ok(triple(X10,X11,X12))
| ~ check_cpq(triple(X10,X11,X12)) ) ) ) ),
inference(fof_simplification,[status(thm)],[l20_induction]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ check_cpq(triple(X1,X2,X3))
| ~ ok(triple(X1,X2,X3)) )
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l20_co])]) ).
fof(c_0_7,plain,
! [X132,X133,X134,X135,X136,X137] :
( ( check_cpq(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)) )
& ( ok(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)) )
& ( check_cpq(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0))
| ~ ok(triple(esk4_0,esk5_0,esk6_0)) )
& ( ok(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0))
| ~ ok(triple(esk4_0,esk5_0,esk6_0)) )
& ( check_cpq(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) )
& ( ok(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) )
& ( check_cpq(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) )
& ( ok(triple(X132,X133,X134))
| ~ succ_cpq(triple(X132,X133,X134),triple(X135,X136,X137))
| ~ ok(triple(X135,X136,X137))
| ~ check_cpq(triple(X135,X136,X137))
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,negated_conjecture,
( ( ~ check_cpq(triple(esk7_0,esk8_0,esk9_0))
| ~ ok(triple(esk7_0,esk8_0,esk9_0)) )
& succ_cpq(triple(esk7_0,esk8_0,esk9_0),triple(esk10_0,esk11_0,esk12_0))
& ok(triple(esk10_0,esk11_0,esk12_0))
& check_cpq(triple(esk10_0,esk11_0,esk12_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,plain,
( ok(triple(X1,X2,X3))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0))
| ~ ok(triple(esk4_0,esk5_0,esk6_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
succ_cpq(triple(esk7_0,esk8_0,esk9_0),triple(esk10_0,esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
ok(triple(esk10_0,esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
check_cpq(triple(esk10_0,esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
inference(fof_simplification,[status(thm)],[ax41]) ).
fof(c_0_14,lemma,
! [X1,X2,X3] :
( ( ~ check_cpq(triple(X1,X2,X3))
| ~ ok(triple(X1,X2,X3)) )
=> ( ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
| ~ ok(im_succ_cpq(triple(X1,X2,X3))) ) ),
inference(fof_simplification,[status(thm)],[l12_l13]) ).
cnf(c_0_15,negated_conjecture,
( ~ check_cpq(triple(esk7_0,esk8_0,esk9_0))
| ~ ok(triple(esk7_0,esk8_0,esk9_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( ok(triple(esk7_0,esk8_0,esk9_0))
| ~ ok(triple(esk4_0,esk5_0,esk6_0))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).
fof(c_0_17,plain,
! [X89,X90,X91] :
( ok(triple(X89,X90,X91))
| X91 = bad ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_18,lemma,
! [X138,X139,X140] :
( ( check_cpq(triple(X138,X139,X140))
| ~ check_cpq(im_succ_cpq(triple(X138,X139,X140)))
| ~ ok(im_succ_cpq(triple(X138,X139,X140))) )
& ( ok(triple(X138,X139,X140))
| ~ check_cpq(im_succ_cpq(triple(X138,X139,X140)))
| ~ ok(im_succ_cpq(triple(X138,X139,X140))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_19,plain,
( check_cpq(triple(X1,X2,X3))
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( check_cpq(triple(X1,X2,X3))
| check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( check_cpq(triple(X1,X2,X3))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0))
| ~ ok(triple(esk4_0,esk5_0,esk6_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( ~ ok(triple(esk4_0,esk5_0,esk6_0))
| ~ check_cpq(triple(esk7_0,esk8_0,esk9_0))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( ok(triple(X1,X2,X3))
| X3 = bad ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
| ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| check_cpq(triple(esk7_0,esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_26,negated_conjecture,
( check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| check_cpq(triple(esk7_0,esk8_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_27,negated_conjecture,
( ~ ok(triple(esk4_0,esk5_0,esk6_0))
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_11]),c_0_12])]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( esk9_0 = bad
| ~ check_cpq(triple(esk7_0,esk8_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_29,lemma,
( check_cpq(triple(esk7_0,esk8_0,esk9_0))
| check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( bad = esk6_0
| ~ check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( esk9_0 = bad
| check_cpq(triple(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_32,plain,
! [X1,X2] : ~ ok(triple(X1,X2,bad)),
inference(fof_simplification,[status(thm)],[ax40]) ).
cnf(c_0_33,negated_conjecture,
( esk9_0 = bad
| bad = esk6_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_34,plain,
! [X87,X88] : ~ ok(triple(X87,X88,bad)),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
( ok(triple(X1,X2,X3))
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( bad = esk6_0
| succ_cpq(triple(esk7_0,esk8_0,bad),triple(esk10_0,esk11_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_33]) ).
cnf(c_0_37,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( ok(triple(X1,X2,X3))
| check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
| ~ ok(triple(X4,X5,X6))
| ~ check_cpq(triple(X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,negated_conjecture,
( bad = esk6_0
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_11]),c_0_12])]),c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( bad = esk6_0
| check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_11]),c_0_12])]),c_0_37]) ).
cnf(c_0_41,lemma,
bad = esk6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_39]),c_0_40]),c_0_30]) ).
cnf(c_0_42,lemma,
( ok(triple(X1,X2,X3))
| ~ check_cpq(im_succ_cpq(triple(X1,X2,X3)))
| ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,lemma,
~ ok(triple(X1,X2,esk6_0)),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( esk9_0 = esk6_0
| ~ check_cpq(triple(esk7_0,esk8_0,esk9_0)) ),
inference(rw,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_45,lemma,
check_cpq(triple(esk7_0,esk8_0,esk9_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_25]),c_0_43]),c_0_26]) ).
cnf(c_0_46,negated_conjecture,
esk9_0 = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
succ_cpq(triple(esk7_0,esk8_0,esk6_0),triple(esk10_0,esk11_0,esk12_0)),
inference(spm,[status(thm)],[c_0_10,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_11]),c_0_12])]),c_0_43]) ).
cnf(c_0_49,negated_conjecture,
check_cpq(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_11]),c_0_12])]),c_0_43]) ).
cnf(c_0_50,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_48]),c_0_49])]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 03:31:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 0.86/0.89 % Version : CSE_E---1.5
% 0.86/0.89 % Problem : theBenchmark.p
% 0.86/0.89 % Proof found
% 0.86/0.89 % SZS status Theorem for theBenchmark.p
% 0.86/0.89 % SZS output start Proof
% See solution above
% 0.86/0.90 % Total time : 0.260000 s
% 0.86/0.90 % SZS output end Proof
% 0.86/0.90 % Total time : 0.264000 s
%------------------------------------------------------------------------------