%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM651^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O5JJq2s5hS true
% Computer : n020.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 Oct 2 04:47:48 PM UTC 2025
% Result : Theorem 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 48 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 129 ( 25 ~; 14 |; 0 &; 80 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(sk__type,type,
sk_: nat ).
thf(y_type,type,
y: nat ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(sk__2_type,type,
sk__2: nat ).
thf(x_type,type,
x: nat ).
thf(sk__3_type,type,
sk__3: nat ).
thf(sk__1_type,type,
sk__1: nat ).
thf(satz9b,conjecture,
~ ( ( ( x = y )
=> ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) ) )
=> ( ( ~ ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) )
=> ! [Xx_0: nat] :
( y
!= ( pl @ x @ Xx_0 ) ) )
=> ~ ( ~ ! [Xx_0: nat] :
( y
!= ( pl @ x @ Xx_0 ) )
=> ( x != y ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ( x = y )
=> ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) ) )
=> ( ( ~ ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) )
=> ! [Xx_0: nat] :
( y
!= ( pl @ x @ Xx_0 ) ) )
=> ~ ( ~ ! [Xx_0: nat] :
( y
!= ( pl @ x @ Xx_0 ) )
=> ( x != y ) ) ) ),
inference('cnf.neg',[status(esa)],[satz9b]) ).
thf(zip_derived_cl5,plain,
( ( y
= ( pl @ x @ sk_ ) )
| ( y
= ( pl @ x @ sk__2 ) )
| ( x
= ( pl @ y @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
( ( y
= ( pl @ x @ sk_ ) )
| ( x = y )
| ( x = y ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
( ( x = y )
| ( y
= ( pl @ x @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ( x
= ( pl @ y @ sk__1 ) )
| ( x = y )
| ( x = y ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
( ( x = y )
| ( x
= ( pl @ y @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
thf(satz5,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( pl @ ( pl @ Xx @ Xy ) @ Xz )
= ( pl @ Xx @ ( pl @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pl @ ( pl @ X0 @ X1 ) @ X2 )
= ( pl @ X0 @ ( pl @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz5]) ).
thf(zip_derived_cl42,plain,
! [X0: nat] :
( ( ( pl @ x @ X0 )
= ( pl @ y @ ( pl @ sk__1 @ X0 ) ) )
| ( x = y ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(satz6,axiom,
! [Xx: nat,Xy: nat] :
( ( pl @ Xx @ Xy )
= ( pl @ Xy @ Xx ) ) ).
thf(zip_derived_cl1,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ X0 )
= ( pl @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz6]) ).
thf(satz7,axiom,
! [Xx: nat,Xy: nat] :
( Xy
!= ( pl @ Xx @ Xy ) ) ).
thf(zip_derived_cl0,plain,
! [X0: nat,X1: nat] :
( X1
!= ( pl @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz7]) ).
thf(zip_derived_cl18,plain,
! [X0: nat,X1: nat] :
( X1
!= ( pl @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl78,plain,
! [X0: nat] :
( ( y
!= ( pl @ x @ X0 ) )
| ( x = y ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl18]) ).
thf(zip_derived_cl102,plain,
( ( y != y )
| ( x = y )
| ( x = y ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl78]) ).
thf(zip_derived_cl110,plain,
x = y,
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl110_001,plain,
x = y,
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl110_002,plain,
x = y,
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl114,plain,
( ( x
= ( pl @ x @ sk_ ) )
| ( x
= ( pl @ x @ sk__2 ) )
| ( x
= ( pl @ x @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl110,zip_derived_cl110,zip_derived_cl110]) ).
thf(zip_derived_cl18_003,plain,
! [X0: nat,X1: nat] :
( X1
!= ( pl @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl18_004,plain,
! [X0: nat,X1: nat] :
( X1
!= ( pl @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl18_005,plain,
! [X0: nat,X1: nat] :
( X1
!= ( pl @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl115,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl114,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM651^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O5JJq2s5hS true
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:40:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.54/0.67 % Total configuration time : 828
% 0.54/0.67 % Estimated wc time : 1656
% 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.79 % Solved by lams/40_c.s.sh.
% 0.57/0.79 % done 25 iterations in 0.028s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% See solution above
% 0.57/0.79
% 0.57/0.79
% 0.57/0.79 % Terminating...
% 1.70/0.87 % Runner terminated.
% 1.70/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------