%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM741^1 : 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.1NP6i9mY8K true
% Computer : n002.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 04:48:11 PM UTC 2025
% Result : Theorem 160.38s 36.00s
% Output : Refutation 160.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 239 ( 8 ~; 6 |; 0 &; 222 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 0 ^; 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(frac_type,type,
frac: $tType ).
thf(den_type,type,
den: frac > nat ).
thf(y_type,type,
y: frac ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(num_type,type,
num: frac > nat ).
thf(less_type,type,
less: nat > nat > $o ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(satz50,conjecture,
less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference('cnf.neg',[status(esa)],[satz50]) ).
thf(zip_derived_cl6,plain,
~ ( less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l,axiom,
less @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ).
thf(zip_derived_cl0,plain,
less @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
inference(cnf,[status(esa)],[l]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(satz31,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X0 @ X1 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz31]) ).
thf(zip_derived_cl4_001,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl7,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X2 @ ( ts @ X1 @ X0 ) )
= ( ts @ X0 @ ( ts @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl110,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X2 @ ( ts @ X1 @ X0 ) )
= ( ts @ X1 @ ( ts @ X2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl4_002,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(k,axiom,
less @ ( ts @ ( num @ y ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ y ) ) ).
thf(zip_derived_cl1,plain,
less @ ( ts @ ( num @ y ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ y ) ),
inference(cnf,[status(esa)],[k]) ).
thf(zip_derived_cl5_003,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X0 @ X1 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz31]) ).
thf(zip_derived_cl7_004,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X2 @ ( ts @ X1 @ X0 ) )
= ( ts @ X0 @ ( ts @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl4_005,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl81,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X2 @ ( ts @ X1 @ X0 ) )
= ( ts @ ( ts @ X0 @ X2 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl5_006,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X0 @ X1 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz31]) ).
thf(satz33c,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
=> ( less @ Xx @ Xy ) ) ).
thf(zip_derived_cl2,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( less @ X0 @ X1 )
| ~ ( less @ ( ts @ X0 @ X2 ) @ ( ts @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz33c]) ).
thf(zip_derived_cl40,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ~ ( less @ ( ts @ X3 @ X0 ) @ ( ts @ X2 @ ( ts @ X1 @ X0 ) ) )
| ( less @ X3 @ ( ts @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(satz34a,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( less @ Xx @ Xy )
=> ( ( less @ Xz @ Xu )
=> ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ~ ( less @ X0 @ X1 )
| ( less @ ( ts @ X0 @ X2 ) @ ( ts @ X1 @ X3 ) )
| ~ ( less @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[satz34a]) ).
thf(zip_derived_cl4_007,plain,
! [X0: nat,X1: nat] :
( ( ts @ X1 @ X0 )
= ( ts @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl2_008,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( less @ X0 @ X1 )
| ~ ( less @ ( ts @ X0 @ X2 ) @ ( ts @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[satz33c]) ).
thf(zip_derived_cl38,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ( less @ ( ts @ X1 @ X0 ) @ ( ts @ X2 @ X1 ) )
| ( less @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl11746,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl0,zip_derived_cl110,zip_derived_cl4,zip_derived_cl1,zip_derived_cl5,zip_derived_cl81,zip_derived_cl40,zip_derived_cl3,zip_derived_cl38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM741^1 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1NP6i9mY8K true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:33:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.48/0.63 % Total configuration time : 828
% 0.48/0.63 % Estimated wc time : 1656
% 0.48/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 138.00/30.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 160.38/36.00 % Solved by lams/40_c_ic.sh.
% 160.38/36.00 % done 572 iterations in 35.222s
% 160.38/36.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 160.38/36.00 % SZS output start Refutation
% See solution above
% 160.38/36.00
% 160.38/36.00
% 160.38/36.00 % Terminating...
% 160.88/36.21 % Runner terminated.
% 160.88/36.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------