%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV417+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G9UVIGZVXT true
% Computer : n006.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 05:01:02 PM UTC 2025
% Result : Theorem 0.52s 0.77s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 307 ( 21 ~; 12 |; 4 &; 263 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 0 ^; 26 !; 2 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(pi_sharp_find_min_type,type,
pi_sharp_find_min: $i > $i > $o ).
thf(findmin_cpq_res_type,type,
findmin_cpq_res: $i > $i ).
thf(contains_pq_type,type,
contains_pq: $i > $i > $o ).
thf(issmallestelement_pq_type,type,
issmallestelement_pq: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(findmin_pq_res_type,type,
findmin_pq_res: $i > $i > $i ).
thf(i_type,type,
i: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(phi_type,type,
phi: $i > $o ).
thf(findmin_cpq_eff_type,type,
findmin_cpq_eff: $i > $i ).
thf(pi_find_min_type,type,
pi_find_min: $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(main4_l7,axiom,
! [U: $i,V: $i,W: $i] :
( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( pi_sharp_find_min @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
| ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[main4_l7]) ).
thf(ax58,axiom,
! [U: $i,V: $i] :
( ( pi_sharp_find_min @ U @ V )
<=> ( ( contains_pq @ U @ V )
& ( issmallestelement_pq @ U @ V ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( issmallestelement_pq @ X0 @ X1 )
| ~ ( pi_sharp_find_min @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(ax14,axiom,
! [U: $i,V: $i] :
( ( ( contains_pq @ U @ V )
& ( issmallestelement_pq @ U @ V ) )
=> ( ( findmin_pq_res @ U @ V )
= V ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( ( findmin_pq_res @ X1 @ X0 )
= X0 )
| ~ ( issmallestelement_pq @ X1 @ X0 )
| ~ ( contains_pq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( pi_sharp_find_min @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
| ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[main4_l7]) ).
thf(co4,conjecture,
! [U: $i,V: $i,W: $i] :
( ( pi_find_min @ ( triple @ U @ V @ W ) )
=> ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ? [X: $i] :
( ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pq_res @ ( i @ ( triple @ U @ V @ W ) ) @ X ) )
& ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i] :
( ( pi_find_min @ ( triple @ U @ V @ W ) )
=> ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ? [X: $i] :
( ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pq_res @ ( i @ ( triple @ U @ V @ W ) ) @ X ) )
& ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ) ),
inference('cnf.neg',[status(esa)],[co4]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) )
!= ( findmin_pq_res @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ X0 ) )
| ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) )
| ( ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) )
!= ( findmin_pq_res @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
phi @ ( findmin_cpq_eff @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) )
!= ( findmin_pq_res @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(zip_derived_cl41,plain,
( ( ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) )
!= ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) )
| ~ ( contains_pq @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) )
| ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl35]) ).
thf(zip_derived_cl43,plain,
( ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) )
| ~ ( contains_pq @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl45,plain,
( ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) )
| ~ ( contains_pq @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl43]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( contains_pq @ X0 @ X1 )
| ~ ( pi_sharp_find_min @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(zip_derived_cl47,plain,
~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) @ ( findmin_cpq_res @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl45,zip_derived_cl5]) ).
thf(zip_derived_cl48,plain,
~ ( phi @ ( findmin_cpq_eff @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl47]) ).
thf(zip_derived_cl17_002,plain,
phi @ ( findmin_cpq_eff @ ( triple @ sk__2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV417+1 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G9UVIGZVXT true
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 12:25:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.44/0.61 % Total configuration time : 435
% 0.44/0.61 % Estimated wc time : 1092
% 0.44/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.77 % Solved by fo/fo4.sh.
% 0.52/0.77 % done 28 iterations in 0.018s
% 0.52/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.77 % SZS output start Refutation
% See solution above
% 0.52/0.77
% 0.52/0.77
% 0.52/0.77 % Terminating...
% 0.56/0.82 % Runner terminated.
% 0.56/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------