TSTP Solution File: SWV415+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV415+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L0yq22ijyE true
% Computer : n023.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 : Fri Sep 1 00:09:38 EDT 2023
% Result : Theorem 5.06s 1.30s
% Output : Refutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 57 ( 25 unt; 25 typ; 0 def)
% Number of atoms : 45 ( 44 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 442 ( 11 ~; 10 |; 1 &; 418 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 19 con; 0-3 aty)
% Number of variables : 146 ( 0 ^; 146 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(create_pq_type,type,
create_pq: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(insert_slb_type,type,
insert_slb: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(insert_cpq_type,type,
insert_cpq: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(insert_pqp_type,type,
insert_pqp: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(insert_pq_type,type,
insert_pq: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(i_type,type,
i: $i > $i ).
thf(create_slb_type,type,
create_slb: $i ).
thf(bottom_type,type,
bottom: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(ax42,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( insert_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( insert_pqp @ U @ X ) @ ( insert_slb @ V @ ( pair @ X @ bottom ) ) @ W ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( insert_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
= ( triple @ ( insert_pqp @ X0 @ X1 ) @ ( insert_slb @ X2 @ ( pair @ X1 @ bottom ) ) @ X3 ) ),
inference(cnf,[status(esa)],[ax42]) ).
thf(ax55,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
= ( insert_pq @ ( i @ ( triple @ ( insert_pqp @ X3 @ X0 ) @ X2 @ X1 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl32]) ).
thf(big2_induction,axiom,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( i @ ( triple @ U @ create_slb @ W ) )
= ( i @ ( triple @ V @ create_slb @ X ) ) )
& ! [Y: $i] :
( ! [Z: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( triple @ Z @ Y @ X2 ) )
= ( i @ ( triple @ X1 @ Y @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( i @ ( triple @ X4 @ ( insert_slb @ Y @ ( pair @ X8 @ X9 ) ) @ X6 ) )
= ( i @ ( triple @ X5 @ ( insert_slb @ Y @ ( pair @ X8 @ X9 ) ) @ X7 ) ) ) ) )
=> ! [X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ( i @ ( triple @ X10 @ X12 @ X13 ) )
= ( i @ ( triple @ X11 @ X12 @ X14 ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) )
| ( ( i @ ( triple @ sk__2 @ ( insert_slb @ sk__1 @ ( pair @ sk__6 @ sk__7 ) ) @ sk__4 ) )
!= ( i @ ( triple @ sk__3 @ ( insert_slb @ sk__1 @ ( pair @ sk__6 @ sk__7 ) ) @ sk__5 ) ) )
| ( ( i @ ( triple @ sk__8 @ create_slb @ sk__10 ) )
!= ( i @ ( triple @ sk__9 @ create_slb @ sk__11 ) ) ) ),
inference(cnf,[status(esa)],[big2_induction]) ).
thf(zip_derived_cl32_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl32_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( i @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(ax54,axiom,
! [U: $i,V: $i] :
( ( i @ ( triple @ U @ create_slb @ V ) )
= create_pq ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( i @ ( triple @ X0 @ create_slb @ X1 ) )
= create_pq ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl31_003,plain,
! [X0: $i,X1: $i] :
( ( i @ ( triple @ X0 @ create_slb @ X1 ) )
= create_pq ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) )
| ( ( insert_pq @ ( i @ ( triple @ sk__2 @ sk__1 @ sk__4 ) ) @ sk__6 )
!= ( insert_pq @ ( i @ ( triple @ sk__3 @ sk__1 @ sk__5 ) ) @ sk__6 ) )
| ( create_pq != create_pq ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl32,zip_derived_cl32,zip_derived_cl31,zip_derived_cl31]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( insert_pq @ ( i @ ( triple @ sk__2 @ sk__1 @ sk__4 ) ) @ sk__6 )
!= ( insert_pq @ ( i @ ( triple @ sk__3 @ sk__1 @ sk__5 ) ) @ sk__6 ) )
| ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) )
| ( ( i @ ( triple @ X7 @ sk__1 @ X8 ) )
= ( i @ ( triple @ X5 @ sk__1 @ X6 ) ) )
| ( ( i @ ( triple @ sk__8 @ create_slb @ sk__10 ) )
!= ( i @ ( triple @ sk__9 @ create_slb @ sk__11 ) ) ) ),
inference(cnf,[status(esa)],[big2_induction]) ).
thf(zip_derived_cl31_004,plain,
! [X0: $i,X1: $i] :
( ( i @ ( triple @ X0 @ create_slb @ X1 ) )
= create_pq ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl31_005,plain,
! [X0: $i,X1: $i] :
( ( i @ ( triple @ X0 @ create_slb @ X1 ) )
= create_pq ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) )
| ( ( i @ ( triple @ X7 @ sk__1 @ X8 ) )
= ( i @ ( triple @ X5 @ sk__1 @ X6 ) ) )
| ( create_pq != create_pq ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl31,zip_derived_cl31]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( ( i @ ( triple @ X7 @ sk__1 @ X8 ) )
= ( i @ ( triple @ X5 @ sk__1 @ X6 ) ) )
| ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( triple @ X1 @ sk__1 @ X0 ) )
= ( i @ ( triple @ X3 @ sk__1 @ X2 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl213,zip_derived_cl203]) ).
thf(zip_derived_cl969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl214]) ).
thf(zip_derived_cl969_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl214]) ).
thf(zip_derived_cl969_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) )
= ( insert_pq @ ( i @ ( triple @ X0 @ X2 @ X2 ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl214]) ).
thf(zip_derived_cl999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( i @ ( insert_cpq @ ( triple @ X5 @ X2 @ X4 ) @ X0 ) )
= ( i @ ( insert_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl969]) ).
thf(co2,conjecture,
! [U: $i,V: $i,W: $i,X: $i] :
( ( i @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i,X: $i] :
( ( i @ ( insert_cpq @ ( triple @ U @ V @ W ) @ X ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ),
inference('cnf.neg',[status(esa)],[co2]) ).
thf(zip_derived_cl35,plain,
( ( i @ ( insert_cpq @ ( triple @ sk__12 @ sk__13 @ sk__14 ) @ sk__15 ) )
!= ( insert_pq @ ( i @ ( triple @ sk__12 @ sk__13 @ sk__14 ) ) @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1094,plain,
! [X0: $i,X1: $i] :
( ( i @ ( insert_cpq @ ( triple @ X1 @ sk__13 @ X0 ) @ sk__15 ) )
!= ( insert_pq @ ( i @ ( triple @ sk__12 @ sk__13 @ sk__14 ) ) @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl999,zip_derived_cl35]) ).
thf(zip_derived_cl1124,plain,
( ( insert_pq @ ( i @ ( triple @ sk__15 @ sk__13 @ sk__13 ) ) @ sk__15 )
!= ( insert_pq @ ( i @ ( triple @ sk__12 @ sk__13 @ sk__14 ) ) @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl969,zip_derived_cl1094]) ).
thf(zip_derived_cl214_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( i @ ( triple @ X3 @ X1 @ X4 ) )
= ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl213,zip_derived_cl203]) ).
thf(zip_derived_cl1130,plain,
$false,
inference('simplify_reflect+',[status(thm)],[zip_derived_cl1124,zip_derived_cl214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV415+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L0yq22ijyE true
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 06:28:25 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.06/1.30 % Solved by fo/fo3_bce.sh.
% 5.06/1.30 % BCE start: 36
% 5.06/1.30 % BCE eliminated: 1
% 5.06/1.30 % PE start: 35
% 5.06/1.30 logic: eq
% 5.06/1.30 % PE eliminated: 1
% 5.06/1.30 % done 315 iterations in 0.578s
% 5.06/1.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.06/1.30 % SZS output start Refutation
% See solution above
% 5.06/1.31
% 5.06/1.31
% 5.06/1.31 % Terminating...
% 5.77/1.40 % Runner terminated.
% 5.77/1.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------