%------------------------------------------------------------------------------
% File : MleanCoP---1.3
% Problem : SYP107_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_mleancop %s %d
% Computer : n019.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 : Tue May 5 07:13:51 PM UTC 2026
% Result : Theorem 0.49s 1.54s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYP107_1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : run_mleancop %s %d
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 17:42:14 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.28/0.48 % Logic is t
% 0.28/0.48 % Designation is rigid
% 0.28/0.49 % Terms are local
% 0.28/0.49 % Domains are const
% 0.28/0.50 ------------ Start QMF file ---------------
% 0.28/0.51 %------------------------------------------------------------------------------
% 0.28/0.51 % File : SYP107_1 : TPTP v9.3.0. Released v9.3.0.
% 0.28/0.51 % Domain : Syntactic
% 0.28/0.51 % Problem : Logic KT, problem k_lin, size 10
% 0.28/0.51 % Version : Especial.
% 0.28/0.51 % English :
% 0.28/0.51 % Refs : [BHS98] Balsiger et al. (1998), Logics Workbench 1.0
% 0.28/0.51 % : [Ste24] Steen (2024), Email to Geoff Sutcliffe
% 0.28/0.51 % Source : [Ste24]
% 0.28/0.51 % Names : KT/k_lin_p/10.p
% 0.28/0.51 % Status : Theorem
% 0.28/0.51 % Rating : ? v9.2.0
% 0.28/0.51 % Syntax : Number of formulae : 12 ( 0 unt; 11 typ; 0 def)
% 0.28/0.51 % Number of atoms : 286 ( 0 equ)
% 0.28/0.51 % Maximal formula atoms : 286 ( 286 avg)
% 0.28/0.51 % Number of connectives : 529 ( 90 ~; 51 |; 142 &)
% 0.28/0.51 % ( 0 <=>; 92 =>; 0 <=; 0 <~>)
% 0.28/0.51 % ( 154 {.}; 0 {#})
% 0.28/0.51 % Maximal formula depth : 23 ( 23 avg)
% 0.28/0.51 % Maximal term depth : 0 ( 0 avg)
% 0.28/0.51 % Number of types : 1 ( 0 usr)
% 0.28/0.51 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.28/0.51 % Number of predicates : 11 ( 11 usr; 11 prp; 0-0 aty)
% 0.28/0.51 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.28/0.51 % Number of variables : 0 ( 0 !; 0 ?; 0 :)
% 0.28/0.51 % SPC : NX0_THM_PRP_NEQ_NAR
% 0.28/0.51 % Comments :
% 0.28/0.51 %------------------------------------------------------------------------------
% 0.28/0.51 qmf(10,conjecture,(~ ( ( ( #box : ( ( ( p1 & #box : ( p1 ) & p1 ) => p2 ) | ( ~ ( p1 ) => ~ ( #box : ( p2 ) & p2 ) ) ) & #box : ( #box : ( ( ( p1 & #box : ( p1 ) & p1 ) => p2 ) ) | ( ~ ( p1 ) => ~ ( #box : ( p2 ) & p2 ) ) ) & #box : ( ( ( p1 & #box : ( p1 ) & p1 ) => p2 ) | #box : ( ( ~ ( p1 ) => ~ ( #box : ( p2 ) & p2 ) ) ) ) ) => ( #box : ( ( ( p1 & #box : ( p1 ) & p1 ) => p2 ) ) | #box : ( ( ~ ( p1 ) => ~ ( #box : ( p2 ) & p2 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p2 & #box : ( p2 ) & p2 ) => p3 ) | ( ~ ( p2 ) => ~ ( #box : ( p3 ) & p3 ) ) ) & #box : ( #box : ( ( ( p2 & #box : ( p2 ) & p2 ) => p3 ) ) | ( ~ ( p2 ) => ~ ( #box : ( p3 ) & p3 ) ) ) & #box : ( ( ( p2 & #box : ( p2 ) & p2 ) => p3 ) | #box : ( ( ~ ( p2 ) => ~ ( #box : ( p3 ) & p3 ) ) ) ) ) => ( #box : ( ( ( p2 & #box : ( p2 ) & p2 ) => p3 ) ) | #box : ( ( ~ ( p2 ) => ~ ( #box : ( p3 ) & p3 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p3 & #box : ( p3 ) & p3 ) => p4 ) | ( ~ ( p3 ) => ~ ( #box : ( p4 ) & p4 ) ) ) & #box : ( #box : ( ( ( p3 & #box : ( p3 ) & p3 ) => p4 ) ) | ( ~ ( p3 ) => ~ ( #box : ( p4 ) & p4 ) ) ) & #box : ( ( ( p3 & #box : ( p3 ) & p3 ) => p4 ) | #box : ( ( ~ ( p3 ) => ~ ( #box : ( p4 ) & p4 ) ) ) ) ) => ( #box : ( ( ( p3 & #box : ( p3 ) & p3 ) => p4 ) ) | #box : ( ( ~ ( p3 ) => ~ ( #box : ( p4 ) & p4 ) ) ) ) ) ) | #box : ( ( ( p10 & #box : ( p10 ) ) => p10 ) ) | #box : ( ( ( p10 & #box : ( p10 ) ) => p10 ) ) | ~ ( ( ( #box : ( ( ( p4 & #box : ( p4 ) & p4 ) => p5 ) | ( ~ ( p4 ) => ~ ( #box : ( p5 ) & p5 ) ) ) & #box : ( #box : ( ( ( p4 & #box : ( p4 ) & p4 ) => p5 ) ) | ( ~ ( p4 ) => ~ ( #box : ( p5 ) & p5 ) ) ) & #box : ( ( ( p4 & #box : ( p4 ) & p4 ) => p5 ) | #box : ( ( ~ ( p4 ) => ~ ( #box : ( p5 ) & p5 ) ) ) ) ) => ( #box : ( ( ( p4 & #box : ( p4 ) & p4 ) => p5 ) ) | #box : ( ( ~ ( p4 ) => ~ ( #box : ( p5 ) & p5 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p5 & #box : ( p5 ) & p5 ) => p6 ) | ( ~ ( p5 ) => ~ ( #box : ( p6 ) & p6 ) ) ) & #box : ( #box : ( ( ( p5 & #box : ( p5 ) & p5 ) => p6 ) ) | ( ~ ( p5 ) => ~ ( #box : ( p6 ) & p6 ) ) ) & #box : ( ( ( p5 & #box : ( p5 ) & p5 ) => p6 ) | #box : ( ( ~ ( p5 ) => ~ ( #box : ( p6 ) & p6 ) ) ) ) ) => ( #box : ( ( ( p5 & #box : ( p5 ) & p5 ) => p6 ) ) | #box : ( ( ~ ( p5 ) => ~ ( #box : ( p6 ) & p6 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p6 & #box : ( p6 ) & p6 ) => p7 ) | ( ~ ( p6 ) => ~ ( #box : ( p7 ) & p7 ) ) ) & #box : ( #box : ( ( ( p6 & #box : ( p6 ) & p6 ) => p7 ) ) | ( ~ ( p6 ) => ~ ( #box : ( p7 ) & p7 ) ) ) & #box : ( ( ( p6 & #box : ( p6 ) & p6 ) => p7 ) | #box : ( ( ~ ( p6 ) => ~ ( #box : ( p7 ) & p7 ) ) ) ) ) => ( #box : ( ( ( p6 & #box : ( p6 ) & p6 ) => p7 ) ) | #box : ( ( ~ ( p6 ) => ~ ( #box : ( p7 ) & p7 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p7 & #box : ( p7 ) & p7 ) => p8 ) | ( ~ ( p7 ) => ~ ( #box : ( p8 ) & p8 ) ) ) & #box : ( #box : ( ( ( p7 & #box : ( p7 ) & p7 ) => p8 ) ) | ( ~ ( p7 ) => ~ ( #box : ( p8 ) & p8 ) ) ) & #box : ( ( ( p7 & #box : ( p7 ) & p7 ) => p8 ) | #box : ( ( ~ ( p7 ) => ~ ( #box : ( p8 ) & p8 ) ) ) ) ) => ( #box : ( ( ( p7 & #box : ( p7 ) & p7 ) => p8 ) ) | #box : ( ( ~ ( p7 ) => ~ ( #box : ( p8 ) & p8 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p8 & #box : ( p8 ) & p8 ) => p9 ) | ( ~ ( p8 ) => ~ ( #box : ( p9 ) & p9 ) ) ) & #box : ( #box : ( ( ( p8 & #box : ( p8 ) & p8 ) => p9 ) ) | ( ~ ( p8 ) => ~ ( #box : ( p9 ) & p9 ) ) ) & #box : ( ( ( p8 & #box : ( p8 ) & p8 ) => p9 ) | #box : ( ( ~ ( p8 ) => ~ ( #box : ( p9 ) & p9 ) ) ) ) ) => ( #box : ( ( ( p8 & #box : ( p8 ) & p8 ) => p9 ) ) | #box : ( ( ~ ( p8 ) => ~ ( #box : ( p9 ) & p9 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p9 & #box : ( p9 ) & p9 ) => p10 ) | ( ~ ( p9 ) => ~ ( #box : ( p10 ) & p10 ) ) ) & #box : ( #box : ( ( ( p9 & #box : ( p9 ) & p9 ) => p10 ) ) | ( ~ ( p9 ) => ~ ( #box : ( p10 ) & p10 ) ) ) & #box : ( ( ( p9 & #box : ( p9 ) & p9 ) => p10 ) | #box : ( ( ~ ( p9 ) => ~ ( #box : ( p10 ) & p10 ) ) ) ) ) => ( #box : ( ( ( p9 & #box : ( p9 ) & p9 ) => p10 ) ) | #box : ( ( ~ ( p9 ) => ~ ( #box : ( p10 ) & p10 ) ) ) ) ) ) | ~ ( ( ( #box : ( ( ( p10 & #box : ( p10 ) & p10 ) => p11 ) | ( ~ ( p10 ) => ~ ( #box : ( p11 ) & p11 ) ) ) & #box : ( #box : ( ( ( p10 & #box : ( p10 ) & p10 ) => p11 ) ) | ( ~ ( p10 ) => ~ ( #box : ( p11 ) & p11 ) ) ) & #box : ( ( ( p10 & #box : ( p10 ) & p10 ) => p11 ) | #box : ( ( ~ ( p10 ) => ~ ( #box : ( p11 ) & p11 ) ) ) ) ) => ( #box : ( ( ( p10 & #box : ( p10 ) & p10 ) => p11 ) ) | #box : ( ( ~ ( p10 ) => ~ ( #box : ( p11 ) & p11 ) ) ) ) ) ) )).
% 0.28/0.51 %------------------------------------------------------------------------------
% 0.28/0.51 ------------ End QMF file ---------------
% 0.49/1.54
% 0.49/1.54 % SZS status Theorem for $/export/starexec/sandbox2/tmp/tmp.vy7eoc27P1/theBenchmark.p.qmf : (modal (t/const))
% 0.49/1.54 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.vy7eoc27P1/theBenchmark.p.qmf
% 0.49/1.54 [[p10 : [139 ^ []]], [[-(p10) : -([139 ^ []])]]]
% 0.49/1.54 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.vy7eoc27P1/theBenchmark.p.qmf
% 0.49/1.54 % MleanCoP exiting
%------------------------------------------------------------------------------