TSTP Solution File: SWV416+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV416+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 : n011.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 21:38:30 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 58
% Syntax : Number of formulae : 77 ( 10 unt; 53 typ; 0 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 11 |; 6 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 45 >; 31 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 55 ( 10 sgn; 34 !; 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_pq: $i ).
tff(decl_26,type,
isnonempty_pq: $i > $o ).
tff(decl_27,type,
insert_pq: ( $i * $i ) > $i ).
tff(decl_28,type,
contains_pq: ( $i * $i ) > $o ).
tff(decl_29,type,
issmallestelement_pq: ( $i * $i ) > $o ).
tff(decl_30,type,
remove_pq: ( $i * $i ) > $i ).
tff(decl_31,type,
findmin_pq_eff: ( $i * $i ) > $i ).
tff(decl_32,type,
findmin_pq_res: ( $i * $i ) > $i ).
tff(decl_33,type,
removemin_pq_eff: ( $i * $i ) > $i ).
tff(decl_34,type,
removemin_pq_res: ( $i * $i ) > $i ).
tff(decl_35,type,
create_slb: $i ).
tff(decl_36,type,
isnonempty_slb: $i > $o ).
tff(decl_37,type,
pair: ( $i * $i ) > $i ).
tff(decl_38,type,
insert_slb: ( $i * $i ) > $i ).
tff(decl_39,type,
contains_slb: ( $i * $i ) > $o ).
tff(decl_40,type,
pair_in_list: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
remove_slb: ( $i * $i ) > $i ).
tff(decl_42,type,
lookup_slb: ( $i * $i ) > $i ).
tff(decl_43,type,
update_slb: ( $i * $i ) > $i ).
tff(decl_44,type,
succ_cpq: ( $i * $i ) > $o ).
tff(decl_45,type,
insert_cpq: ( $i * $i ) > $i ).
tff(decl_46,type,
remove_cpq: ( $i * $i ) > $i ).
tff(decl_47,type,
findmin_cpq_eff: $i > $i ).
tff(decl_48,type,
removemin_cpq_eff: $i > $i ).
tff(decl_49,type,
triple: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
check_cpq: $i > $o ).
tff(decl_51,type,
contains_cpq: ( $i * $i ) > $o ).
tff(decl_52,type,
bad: $i ).
tff(decl_53,type,
ok: $i > $o ).
tff(decl_54,type,
insert_pqp: ( $i * $i ) > $i ).
tff(decl_55,type,
remove_pqp: ( $i * $i ) > $i ).
tff(decl_56,type,
findmin_pqp_res: $i > $i ).
tff(decl_57,type,
findmin_cpq_res: $i > $i ).
tff(decl_58,type,
removemin_cpq_res: $i > $i ).
tff(decl_59,type,
i: $i > $i ).
tff(decl_60,type,
pi_sharp_remove: ( $i * $i ) > $o ).
tff(decl_61,type,
pi_remove: ( $i * $i ) > $o ).
tff(decl_62,type,
pi_sharp_find_min: ( $i * $i ) > $o ).
tff(decl_63,type,
pi_find_min: $i > $o ).
tff(decl_64,type,
pi_sharp_removemin: ( $i * $i ) > $o ).
tff(decl_65,type,
pi_removemin: $i > $o ).
tff(decl_66,type,
phi: $i > $o ).
tff(decl_67,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk2_1: $i > $i ).
tff(decl_69,type,
esk3_1: $i > $i ).
tff(decl_70,type,
esk4_1: $i > $i ).
tff(decl_71,type,
esk5_0: $i ).
tff(decl_72,type,
esk6_0: $i ).
tff(decl_73,type,
esk7_0: $i ).
tff(decl_74,type,
esk8_0: $i ).
fof(co3,conjecture,
! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co3) ).
fof(ax56,axiom,
! [X1,X2] :
( pi_sharp_remove(X1,X2)
<=> contains_pq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax56) ).
fof(ax57,axiom,
! [X1,X2] :
( pi_remove(X1,X2)
<=> pi_sharp_remove(i(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax57) ).
fof(main3_li12,lemma,
! [X1,X2,X3,X4,X5] : i(triple(X1,X3,X4)) = i(triple(X2,X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li12) ).
fof(main3_li34,lemma,
! [X1,X2,X3,X4] :
( contains_pq(i(triple(X1,X2,X3)),X4)
=> i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main3_li34) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
inference(assume_negation,[status(cth)],[co3]) ).
fof(c_0_6,plain,
! [X154,X155] :
( ( ~ pi_sharp_remove(X154,X155)
| contains_pq(X154,X155) )
& ( ~ contains_pq(X154,X155)
| pi_sharp_remove(X154,X155) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])]) ).
fof(c_0_7,plain,
! [X156,X157] :
( ( ~ pi_remove(X156,X157)
| pi_sharp_remove(i(X156),X157) )
& ( ~ pi_sharp_remove(i(X156),X157)
| pi_remove(X156,X157) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(c_0_8,negated_conjecture,
( pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0)
& phi(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))
& ( ~ pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)
| i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( contains_pq(X1,X2)
| ~ pi_sharp_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( pi_sharp_remove(i(X1),X2)
| ~ pi_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( ~ pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)
| i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,lemma,
! [X174,X175,X176,X177,X178] : i(triple(X174,X176,X177)) = i(triple(X175,X176,X178)),
inference(variable_rename,[status(thm)],[main3_li12]) ).
cnf(c_0_14,plain,
( contains_pq(i(X1),X2)
| ~ pi_remove(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0) != i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_12])]) ).
cnf(c_0_16,lemma,
i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,lemma,
! [X179,X180,X181,X182] :
( ~ contains_pq(i(triple(X179,X180,X181)),X182)
| i(remove_cpq(triple(X179,X180,X181),X182)) = remove_pq(i(triple(X179,X180,X181)),X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[main3_li34])]) ).
cnf(c_0_18,negated_conjecture,
contains_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
remove_pq(i(triple(X1,esk6_0,X2)),esk8_0) != i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,lemma,
( i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4)
| ~ contains_pq(i(triple(X1,X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
contains_pq(i(triple(X1,esk6_0,X2)),esk8_0),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
i(remove_cpq(triple(X1,esk6_0,X2),esk8_0)) != i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 03:09:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.023000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.027000 s
%------------------------------------------------------------------------------