%------------------------------------------------------------------------------
% File : MleanCoP---1.3
% Problem : SYO924_1.002 : TPTP v9.0.0. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_mleancop %s %d
% Computer : n008.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 14 09:13:45 EDT 2024
% Result : Theorem 0.63s 1.64s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO924_1.002 : TPTP v9.0.0. Released v9.0.0.
% 0.07/0.13 % Command : run_mleancop %s %d
% 0.13/0.34 % Computer : n008.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 : Mon May 13 15:33:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % Logic is s5
% 0.21/0.49 % Assuming rigid designation
% 0.21/0.49 % Designation is rigid
% 0.21/0.49 % Assuming local terms
% 0.21/0.49 % Terms are local
% 0.21/0.50 % Assuming constants domains
% 0.21/0.50 % Domains are const
% 0.21/0.51 ------------ Start QMF file ---------------
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 % File : SYO924_1.002 : TPTP v9.0.0. Released v9.0.0.
% 0.21/0.51 % Domain : Syntactic
% 0.21/0.51 % Problem : KSP problem s5_t4p_p.0002
% 0.21/0.51 % Version : Especial.
% 0.21/0.51 % English :
% 0.21/0.51 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.21/0.51 % : [NH+22] Nalon et al. (2022), Local Reductions for the Modal Cu
% 0.21/0.51 % : [Nal22] Nalon (2022), Email to Geoff Sutcliffe
% 0.21/0.51 % : [NH+23] Nalon et al. (2023), Buy One Get 14 Free: Evaluating L
% 0.21/0.51 % Source : [Nal22]
% 0.21/0.51 % Names : s5_t4p_p.0002 [Nal22]
% 0.21/0.51 % Status : Theorem
% 0.21/0.51 % Rating : ? v9.0.0
% 0.21/0.51 % Syntax : Number of formulae : 14 ( 0 unt; 13 typ; 0 def)
% 0.21/0.51 % Number of atoms : 167 ( 0 equ)
% 0.21/0.51 % Maximal formula atoms : 167 ( 167 avg)
% 0.21/0.51 % Number of connectives : 489 ( 88 ~; 78 |; 88 &)
% 0.21/0.51 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.51 % ( 235 {.}; 0 {#})
% 0.21/0.51 % Maximal formula depth : 31 ( 31 avg)
% 0.21/0.51 % Maximal term depth : 0 ( 0 avg)
% 0.21/0.51 % Number of types : 1 ( 0 usr)
% 0.21/0.51 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.21/0.51 % Number of predicates : 13 ( 13 usr; 13 prp; 0-0 aty)
% 0.21/0.51 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.51 % Number of variables : 0 (; 0 !; 0 ?; 0 :)
% 0.21/0.51 % SPC : NX0_THM_PRP_NEQ_NAR
% 0.21/0.51 % Comments : Uses instances of T and 4 to produce the formula.
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 qmf(prove,conjecture,(~ ( ( x0 & #box : ( ~ ( x0 ) ) ) | ( #box : ( #dia : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) | #box : ( #box : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) & #dia : ( #box : ( #dia : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) | #box : ( #box : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) & #dia : ( #box : ( #dia : ( ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) ) ) & #dia : ( #dia : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) & #dia : ( #box : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) ) & #dia : ( #dia : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) & #dia : ( #box : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) & #box : ( #dia : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) | #box : ( #box : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) & #box : ( #box : ( #dia : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) | #box : ( #box : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) & #box : ( ( #dia : ( #box : ( ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) ) | #dia : ( ( p0 | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) & #dia : ( ~ ( p3 ) | ( ~ ( y3 ) & #box : ( y3 ) ) | ( ~ ( z3 ) & #dia : ( #dia : ( #dia : ( #box : ( z3 ) ) ) ) ) ) ) ) & #box : ( #dia : ( #box : ( #dia : ( ( p0 | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) & #dia : ( ~ ( p3 ) | ( ~ ( y3 ) & #box : ( y3 ) ) | ( ~ ( z3 ) & #dia : ( #dia : ( #dia : ( #box : ( z3 ) ) ) ) ) ) ) ) ) | #dia : ( #box : ( ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) ) ) & ( #dia : ( #box : ( ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) ) | #box : ( #box : ( #dia : ( ( p0 | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) & #dia : ( ~ ( p3 ) | ( ~ ( y3 ) & #box : ( y3 ) ) | ( ~ ( z3 ) & #dia : ( #dia : ( #dia : ( #box : ( z3 ) ) ) ) ) ) ) ) ) ) & #box : ( #box : ( #dia : ( #box : ( ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) ) ) | ~ ( p0 ) | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) | #box : ( ( p0 | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) & #dia : ( ~ ( p3 ) | ( ~ ( y3 ) & #box : ( y3 ) ) | ( ~ ( z3 ) & #dia : ( #dia : ( #dia : ( #box : ( z3 ) ) ) ) ) ) ) ) & #box : ( #dia : ( ( p0 | ( ~ ( y0 ) & #box : ( y0 ) ) | ( ~ ( z0 ) & #dia : ( #dia : ( #dia : ( #box : ( z0 ) ) ) ) ) ) & #dia : ( ~ ( p3 ) | ( ~ ( y3 ) & #box : ( y3 ) ) | ( ~ ( z3 ) & #dia : ( #dia : ( #dia : ( #box : ( z3 ) ) ) ) ) ) ) ) ) & #box : ( #dia : ( #box : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) | #box : ( #box : ( #dia : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) ) ) & #box : ( #dia : ( #box : ( ~ ( p1 ) | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) | #box : ( #box : ( #dia : ( p1 | ( ~ ( y1 ) & #box : ( y1 ) ) | ( ~ ( z1 ) & #dia : ( #dia : ( #dia : ( #box : ( z1 ) ) ) ) ) ) ) ) ) & #box : ( ~ ( p4 ) | ( ~ ( y4 ) & #box : ( y4 ) ) | ( ~ ( z4 ) & #dia : ( #dia : ( #dia : ( #box : ( z4 ) ) ) ) ) ) ) ) )).
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 ------------ End QMF file ---------------
% 0.63/1.64
% 0.63/1.64 % SZS status Theorem for $/export/starexec/sandbox/tmp/tmp.3tNK7wTcRi/theBenchmark.p.qmf : (modal (s5/const))
% 0.63/1.64 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.3tNK7wTcRi/theBenchmark.p.qmf
% 0.63/1.64 [[6 ^ [] : [], 561 ^ [] : []], [[-(6 ^ []) : -([]), x0 : [[]]], [[-(x0) : -([]), -(6 ^ []) : -([])], [[6 ^ [] : []]]]], [[-(561 ^ []) : -([]), -(p1) : -([126 ^ [], 143 ^ [], 128 ^ []]), 150 ^ [128 ^ []] : [], 157 ^ [128 ^ []] : []], [[p1 : [126 ^ [], 128 ^ []], -(561 ^ []) : -([]), 135 ^ [] : [], 142 ^ [] : []], [[561 ^ [] : []]], [[-(135 ^ []) : -([]), -(y1) : -([126 ^ [], 128 ^ [], 128 ^ []])], [[y1 : [126 ^ [], 128 ^ []], -(135 ^ []) : -([])], [[135 ^ [] : []]]]], [[-(142 ^ []) : -([]), -(z1) : -([126 ^ [], 128 ^ [], 138 ^ [], 139 ^ [], 140 ^ [], 128 ^ []])], [[z1 : [126 ^ [], 128 ^ []], -(142 ^ []) : -([])], [[142 ^ [] : []]]]]], [[-(150 ^ [128 ^ []]) : -([]), -(y1) : -([126 ^ [], 143 ^ [], 128 ^ [], 128 ^ []])], [[y1 : [126 ^ [], 143 ^ [], 128 ^ []], -(150 ^ [128 ^ []]) : -([])], [[150 ^ [128 ^ []] : []]]]], [[-(157 ^ [128 ^ []]) : -([]), -(z1) : -([126 ^ [], 143 ^ [], 128 ^ [], 153 ^ [128 ^ []], 154 ^ [128 ^ []], 155 ^ [128 ^ []], 128 ^ []])], [[z1 : [126 ^ [], 143 ^ [], 128 ^ []], -(157 ^ [128 ^ []]) : -([])], [[157 ^ [128 ^ []] : []]]]]]]
% 0.63/1.64 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.3tNK7wTcRi/theBenchmark.p.qmf
% 0.63/1.64 % MleanCoP exiting
%------------------------------------------------------------------------------