%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PHI007^4 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RJTw8YEd2c true
% Computer : n015.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 04:49:05 PM UTC 2025
% Result : Theorem 82.27s 11.05s
% Output : Refutation 82.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 6 equ; 2 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 180 ( 4 ~; 0 |; 2 &; 126 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 4 con; 0-3 aty)
% ( 21 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 62 ( 40 ^; 21 !; 1 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(qML_i_type,type,
qML_i: $tType ).
thf(qML_mu_type,type,
qML_mu: $tType ).
thf(incons1389517216QML_mu_type,type,
incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(inconsistency_G_type,type,
inconsistency_G: qML_mu > qML_i > $o ).
thf(incons1905966852QML_mu_type,type,
incons1905966852QML_mu: qML_mu > qML_i > $o ).
thf(inconsistency_P_type,type,
inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf(qML_r_type,type,
qML_r: qML_i > qML_i > $o ).
thf(fact_2_G__def,axiom,
( inconsistency_G
= ( ^ [X2: qML_mu,W2: qML_i] :
! [Y: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y @ W2 )
=> ( Y @ X2 @ W2 ) ) ) ) ).
thf(zip_derived_cl2,plain,
( inconsistency_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !!
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2_G__def]) ).
thf(fact_4_A3,axiom,
! [X_1: qML_i] : ( inconsistency_P @ inconsistency_G @ X_1 ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: qML_i] : ( inconsistency_P @ inconsistency_G @ Y0 ) ),
inference(cnf,[status(esa)],[fact_4_A3]) ).
thf(fact_0_A2,axiom,
! [W: qML_i,X: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
( ( ! [V: qML_i] :
( ( qML_r @ W @ V )
=> ! [Xb: qML_mu] :
( ( X @ Xb @ V )
=> ( Xa @ Xb @ V ) ) )
& ( inconsistency_P @ X @ W ) )
=> ( inconsistency_P @ Xa @ W ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu > qML_i > $o] :
( !!
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ( !!
@ ^ [Y3: qML_i] :
( ( qML_r @ Y0 @ Y3 )
=> ( !!
@ ^ [Y4: qML_mu] :
( ( Y1 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( inconsistency_P @ Y1 @ Y0 ) )
=> ( inconsistency_P @ Y2 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_0_A2]) ).
thf(fact_6_A4,axiom,
! [W: qML_i,X: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X @ W )
=> ! [V2: qML_i] :
( ( qML_r @ W @ V2 )
=> ( inconsistency_P @ X @ V2 ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: qML_i] :
( ( qML_r @ Y0 @ Y2 )
=> ( inconsistency_P @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_6_A4]) ).
thf(fact_3_A1a,axiom,
! [W: qML_i,X: qML_mu > qML_i > $o] :
( ( inconsistency_P
@ ^ [Y: qML_mu,Z: qML_i] :
~ ( X @ Y @ Z )
@ W )
=> ~ ( inconsistency_P @ X @ W ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P
@ ^ [Y2: qML_mu,Y3: qML_i] : ( (~) @ ( Y1 @ Y2 @ Y3 ) )
@ Y0 )
=> ( (~) @ ( inconsistency_P @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3_A1a]) ).
thf(fact_8_QML__S5_Osym,axiom,
! [X3: qML_i,Y2: qML_i] :
( ( qML_r @ X3 @ Y2 )
=> ( qML_r @ Y2 @ X3 ) ) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_i] :
( ( qML_r @ Y0 @ Y1 )
=> ( qML_r @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_8_QML__S5_Osym]) ).
thf(fact_1_A5,axiom,
! [X_1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X_1 ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ Y0 ) ),
inference(cnf,[status(esa)],[fact_1_A5]) ).
thf(fact_9_ref,axiom,
! [X3: qML_i] : ( qML_r @ X3 @ X3 ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: qML_i] : ( qML_r @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[fact_9_ref]) ).
thf(fact_10_NE__def,axiom,
( incons1905966852QML_mu
= ( ^ [X2: qML_mu,W2: qML_i] :
! [Y: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y @ X2 @ W2 )
=> ! [V3: qML_i] :
( ( qML_r @ W2 @ V3 )
=> ? [Z: qML_mu] : ( Y @ Z @ V3 ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !!
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ??
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_10_NE__def]) ).
thf(fact_11_ess__def,axiom,
( incons1389517216QML_mu
= ( ^ [Phi: qML_mu > qML_i > $o,X2: qML_mu,W2: qML_i] :
! [Y: qML_mu > qML_i > $o] :
( ( Y @ X2 @ W2 )
=> ! [V3: qML_i] :
( ( qML_r @ W2 @ V3 )
=> ! [Z: qML_mu] :
( ( Phi @ Z @ V3 )
=> ( Y @ Z @ V3 ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
( incons1389517216QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( !!
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y4: qML_i] :
( ( qML_r @ Y2 @ Y4 )
=> ( !!
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_11_ess__def]) ).
thf(zip_derived_cl1971,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2,zip_derived_cl4,zip_derived_cl0,zip_derived_cl6,zip_derived_cl3,zip_derived_cl8,zip_derived_cl1,zip_derived_cl9,zip_derived_cl10,zip_derived_cl11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : PHI007^4 : TPTP v9.2.0. Released v6.4.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RJTw8YEd2c true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:57:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.13/0.36 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 82.27/11.05 % Solved by lams/15_e_short1.sh.
% 82.27/11.05 % done 92 iterations in 10.250s
% 82.27/11.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.27/11.05 % SZS output start Refutation
% See solution above
% 82.27/11.05
% 82.27/11.05
% 82.27/11.05 % Terminating...
% 82.27/11.10 % Runner terminated.
% 82.27/11.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------