TSTP Solution File: SEU668^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU668^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wdpSny6nyT true
% Computer : n016.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 19:15:55 EDT 2023
% Result : Theorem 1.48s 0.88s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 50 ( 25 unt; 17 typ; 0 def)
% Number of atoms : 101 ( 47 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 315 ( 6 ~; 4 |; 24 &; 245 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-3 aty)
% ( 0 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 120 ( 29 ^; 81 !; 10 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(setukpairinjL_type,type,
setukpairinjL: $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(setukpairinjR_type,type,
setukpairinjR: $o ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[dpsetconstr]) ).
thf('1',plain,
( dpsetconstr
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i > $o] :
( dsetconstr @ ( cartprod @ V_1 @ V_2 )
@ ^ [V_4: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_4
= ( kpair @ X4 @ X6 ) )
& ( V_3 @ X4 @ X6 )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjR,axiom,
( setukpairinjR
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xy = Xu ) ) ) ) ).
thf('2',plain,
( setukpairinjR
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X6 = X10 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL,axiom,
( setukpairinjL
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) ) ) ).
thf('3',plain,
( setukpairinjL
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('4',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrERa,conjecture,
( dsetconstrER
=> ( setukpairinjL
=> ( setukpairinjR
=> ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
=> ( Xphi @ Xx @ Xy ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( ( kpair @ X10 @ X12 )
= ( kpair @ X14 @ X16 ) )
=> ( X10 = X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( kpair @ X18 @ X20 )
= ( kpair @ X22 @ X24 ) )
=> ( X20 = X24 ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i] :
( ( in @ X32 @ X26 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( in @ ( kpair @ X32 @ X34 )
@ ( dsetconstr @ ( cartprod @ X26 @ X28 )
@ ^ [V_2: $i] :
? [X36: $i] :
( ( in @ X36 @ X26 )
& ? [X38: $i] :
( ( in @ X38 @ X28 )
& ( X30 @ X36 @ X38 )
& ( V_2
= ( kpair @ X36 @ X38 ) ) ) ) ) )
=> ( X30 @ X32 @ X34 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( ( kpair @ X10 @ X12 )
= ( kpair @ X14 @ X16 ) )
=> ( X10 = X14 ) )
=> ( ! [X18: $i,X20: $i,X22: $i,X24: $i] :
( ( ( kpair @ X18 @ X20 )
= ( kpair @ X22 @ X24 ) )
=> ( X20 = X24 ) )
=> ! [X26: $i,X28: $i,X30: $i > $i > $o,X32: $i] :
( ( in @ X32 @ X26 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( in @ ( kpair @ X32 @ X34 )
@ ( dsetconstr @ ( cartprod @ X26 @ X28 )
@ ^ [V_2: $i] :
? [X36: $i] :
( ( in @ X36 @ X26 )
& ? [X38: $i] :
( ( in @ X38 @ X28 )
& ( X30 @ X36 @ X38 )
& ( V_2
= ( kpair @ X36 @ X38 ) ) ) ) ) )
=> ( X30 @ X32 @ X34 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl93,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( in @ ( kpair @ sk__14 @ sk__15 )
@ ( dsetconstr @ ( cartprod @ sk__11 @ sk__12 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__11 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__12 )
& ( sk__13 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl173,plain,
( ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__11 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__12 )
& ( sk__13 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) )
@ ( kpair @ sk__14 @ sk__15 ) ),
inference('sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl4]) ).
thf(zip_derived_cl174,plain,
( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__11 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__12 )
& ( sk__13 @ Y0 @ Y1 )
& ( ( kpair @ sk__14 @ sk__15 )
= ( kpair @ Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl214,plain,
sk__13 @ sk__16 @ sk__17,
inference(cnf_otf,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl213,plain,
( ( kpair @ sk__14 @ sk__15 )
= ( kpair @ sk__16 @ sk__17 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl6,plain,
! [X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X8 = X7 )
| ( ( kpair @ X8 @ X10 )
!= ( kpair @ X7 @ X9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl71,plain,
! [X8: $i,X10: $i] :
( ( '#_fresh_sk2' @ ( kpair @ X8 @ X10 ) )
= X8 ),
inference(inj_rec,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl240,plain,
( ( '#_fresh_sk2' @ ( kpair @ sk__14 @ sk__15 ) )
= sk__16 ),
inference('sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl71]) ).
thf(zip_derived_cl71_001,plain,
! [X8: $i,X10: $i] :
( ( '#_fresh_sk2' @ ( kpair @ X8 @ X10 ) )
= X8 ),
inference(inj_rec,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl260,plain,
sk__14 = sk__16,
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl71]) ).
thf(zip_derived_cl266,plain,
sk__13 @ sk__14 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl260]) ).
thf(zip_derived_cl213_002,plain,
( ( kpair @ sk__14 @ sk__15 )
= ( kpair @ sk__16 @ sk__17 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X4 = X3 )
| ( ( kpair @ X6 @ X4 )
!= ( kpair @ X5 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
! [X4: $i,X6: $i] :
( ( '#_fresh_sk1' @ ( kpair @ X6 @ X4 ) )
= X4 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl243,plain,
( ( '#_fresh_sk1' @ ( kpair @ sk__14 @ sk__15 ) )
= sk__17 ),
inference('sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl28]) ).
thf(zip_derived_cl28_003,plain,
! [X4: $i,X6: $i] :
( ( '#_fresh_sk1' @ ( kpair @ X6 @ X4 ) )
= X4 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl261,plain,
sk__15 = sk__17,
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl28]) ).
thf(zip_derived_cl3,plain,
~ ( sk__13 @ sk__14 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl268,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl261,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU668^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wdpSny6nyT true
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 21:00:38 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.21/0.69 % Total configuration time : 828
% 0.21/0.69 % Estimated wc time : 1656
% 0.21/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.31/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.31/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.31/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.31/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.31/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.48/0.88 % Solved by lams/40_c_ic.sh.
% 1.48/0.88 % done 28 iterations in 0.077s
% 1.48/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.88 % SZS output start Refutation
% See solution above
% 1.48/0.88
% 1.48/0.88
% 1.48/0.88 % Terminating...
% 2.14/0.98 % Runner terminated.
% 2.14/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------