TSTP Solution File: SWV097^7 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWV097^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n023.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 : Mon Jun 24 17:27:44 EDT 2024
% Result : Theorem 18.34s 8.42s
% Output : Refutation 19.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 5 def)
% Number of atoms : 555 ( 5 equ; 0 cnn)
% Maximal formula atoms : 267 ( 61 avg)
% Number of connectives : 1172 ( 3 ~; 1 |; 0 &;1167 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 13 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 23 con; 0-3 aty)
% Number of variables : 25 ( 23 ^ 2 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(qmltpeq_type,type,
qmltpeq: mu > mu > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: $i > $o,B: $i > $o] : ( mnot @ ( mor @ ( mnot @ A ) @ ( mnot @ B ) ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_def,definition,
( mforall_ind
= ( ^ [A: mu > $i > $o,B: $i] :
! [C: mu] :
( ( exists_in_world @ C @ B )
=> ( A @ C @ B ) ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(mbox_s4_def,definition,
( mbox_s4
= ( ^ [A: $i > $o,B: $i] :
! [C: $i] :
( ~ ( rel_s4 @ B @ C )
| ( A @ C ) ) ) ) ).
thf(leq_type,type,
leq: mu > mu > $i > $o ).
thf(z_defuse_type,type,
z_defuse: mu ).
thf(minus_type,type,
minus: mu > mu > mu ).
thf(pv5_type,type,
pv5: mu ).
thf(xinit_noise_defuse_type,type,
xinit_noise_defuse: mu ).
thf(xinit_mean_defuse_type,type,
xinit_mean_defuse: mu ).
thf(xinit_defuse_type,type,
xinit_defuse: mu ).
thf(u_defuse_type,type,
u_defuse: mu ).
thf(a_select3_type,type,
a_select3: mu > mu > mu > mu ).
thf(sigma_defuse_type,type,
sigma_defuse: mu ).
thf(use_type,type,
use: mu ).
thf(rho_defuse_type,type,
rho_defuse: mu ).
thf(a_select2_type,type,
a_select2: mu > mu > mu ).
thf(n999_type,type,
n999: mu ).
thf(n4_type,type,
n4: mu ).
thf(n5_type,type,
n5: mu ).
thf(n1_type,type,
n1: mu ).
thf(n2_type,type,
n2: mu ).
thf(n3_type,type,
n3: mu ).
thf(n0_type,type,
n0: mu ).
thf(1,conjecture,
( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
thf(2,negated_conjecture,
~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ A ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ B ) ) @ ( mand @ ( mbox_s4 @ ( leq @ A @ n2 ) ) @ ( mbox_s4 @ ( leq @ B @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ A @ B ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ A @ B ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(184,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(185,plain,
$false,
inference(simp,[status(thm)],[184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV097^7 : TPTP v8.2.0. Released v5.5.0.
% 0.02/0.11 % Command : run_Leo-III %s %d SAT
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Jun 20 15:24:55 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.92/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.79/1.32 % [INFO] Parsing done (392ms).
% 2.22/1.34 % [INFO] Running in sequential loop mode.
% 2.71/1.61 % [INFO] nitpick registered as external prover.
% 2.71/1.61 % [INFO] Scanning for conjecture ...
% 3.65/1.92 % [INFO] Found a conjecture (or negated_conjecture) and 181 axioms. Running axiom selection ...
% 4.27/2.11 % [INFO] Axiom selection finished. Selected 181 axioms (removed 0 axioms).
% 4.51/2.27 % [INFO] Problem is higher-order (TPTP THF).
% 4.51/2.29 % [INFO] Type checking passed.
% 4.51/2.30 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 18.34/8.41 % [INFO] Killing All external provers ...
% 18.34/8.42 % Time passed: 7936ms (effective reasoning time: 7071ms)
% 18.34/8.42 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 18.34/8.42 % Axioms used in derivation (0):
% 18.34/8.42 % No. of inferences in proof: 4
% 18.34/8.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 7936 ms resp. 7071 ms w/o parsing
% 19.63/8.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.63/8.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------