TSTP Solution File: LCL638+1.005 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 Aug 31 06:49:54 EDT 2023
% Result : Theorem 0.60s 1.21s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n012.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 : Thu Aug 24 18:02:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.60/1.19 %-------------------------------------------
% 0.60/1.19 % File :CSE---1.6
% 0.60/1.19 % Problem :theBenchmark
% 0.60/1.19 % Transform :cnf
% 0.60/1.19 % Format :tptp:raw
% 0.60/1.19 % Command :java -jar mcs_scs.jar %d %s
% 0.60/1.19
% 0.60/1.19 % Result :Theorem 0.520000s
% 0.60/1.19 % Output :CNFRefutation 0.520000s
% 0.60/1.19 %-------------------------------------------
% 0.60/1.19 %------------------------------------------------------------------------------
% 0.60/1.19 % File : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.60/1.19 % Domain : Logic Calculi (Modal Logic)
% 0.60/1.19 % Problem : In K, D & A4 & B{~p0/p0} -> T, size 5
% 0.60/1.19 % Version : Especial.
% 0.60/1.19 % English :
% 0.60/1.19
% 0.60/1.19 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.60/1.19 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 0.60/1.19 % Source : [Kam08]
% 0.60/1.19 % Names : k_d4_p [BHS00]
% 0.60/1.19
% 0.60/1.19 % Status : Theorem
% 0.60/1.19 % Rating : 0.27 v8.1.0, 0.14 v7.5.0, 0.24 v7.4.0, 0.25 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.50 v7.0.0, 0.36 v6.4.0, 0.29 v6.3.0, 0.23 v6.2.0, 0.27 v6.1.0, 0.52 v6.0.0, 0.50 v5.5.0, 0.58 v5.4.0, 0.61 v5.3.0, 0.65 v5.2.0, 0.36 v5.1.0, 0.43 v5.0.0, 0.65 v4.1.0, 0.67 v4.0.1, 0.63 v4.0.0
% 0.60/1.19 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.60/1.19 % Number of atoms : 225 ( 0 equ)
% 0.60/1.19 % Maximal formula atoms : 225 ( 225 avg)
% 0.60/1.19 % Number of connectives : 511 ( 287 ~; 204 |; 20 &)
% 0.60/1.19 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.60/1.19 % Maximal formula depth : 48 ( 48 avg)
% 0.60/1.19 % Maximal term depth : 1 ( 1 avg)
% 0.60/1.19 % Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% 0.60/1.19 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.60/1.19 % Number of variables : 171 ( 170 !; 1 ?)
% 0.60/1.19 % SPC : FOF_THM_RFO_NEQ
% 0.60/1.19
% 0.60/1.19 % Comments : A naive relational encoding of the modal logic problem into
% 0.60/1.19 % first-order logic.
% 0.60/1.19 %------------------------------------------------------------------------------
% 0.60/1.19 fof(main,conjecture,
% 0.60/1.19 ~ ? [X] :
% 0.60/1.19 ~ ( ~ ! [Y] :
% 0.60/1.19 ( ~ r1(X,Y)
% 0.60/1.19 | ! [X] :
% 0.60/1.19 ( ~ r1(Y,X)
% 0.60/1.19 | ! [Y] :
% 0.60/1.19 ( ~ r1(X,Y)
% 0.60/1.19 | ! [X] :
% 0.60/1.19 ( ~ r1(Y,X)
% 0.60/1.19 | ! [Y] :
% 0.60/1.19 ( ~ r1(X,Y)
% 0.60/1.19 | ~ ( ~ ! [X] :
% 0.60/1.19 ( ~ r1(Y,X)
% 0.60/1.19 | ~ ! [Y] :
% 0.60/1.19 ( ~ r1(X,Y)
% 0.60/1.19 | p1(Y) ) )
% 0.60/1.19 & ~ p1(Y) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ p1(Y) ) )
% 0.60/1.20 & p1(Y) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ p1(X) ) ) )
% 0.60/1.20 & ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ p1(Y) ) ) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y) ) )
% 0.60/1.20 & ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | $false ) ) ) ) ) )
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ( ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) )
% 0.60/1.20 & ~ p1(X) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ( ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ p1(X) ) )
% 0.60/1.20 & p1(X) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ( ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ p1(Y) ) ) )
% 0.60/1.20 & ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ p1(X) ) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ( ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) )
% 0.60/1.20 & ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | $false ) ) ) ) )
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y) ) )
% 0.60/1.20 & ~ p1(Y) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ p1(Y) ) )
% 0.60/1.20 & p1(Y) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ p1(X) ) ) )
% 0.60/1.20 & ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ p1(Y) ) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ~ ( ~ ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | p1(Y) ) )
% 0.60/1.20 & ! [X] :
% 0.60/1.20 ( ~ r1(Y,X)
% 0.60/1.20 | p1(X) ) ) ) ) )
% 0.60/1.20 | ~ ! [Y] :
% 0.60/1.20 ( ~ r1(X,Y)
% 0.60/1.20 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | $false ) ) ) )
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) ) ) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ( ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) )
% 0.60/1.21 & ~ p1(X) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ( ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ p1(X) ) )
% 0.60/1.21 & p1(X) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ( ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ p1(Y) ) ) )
% 0.60/1.21 & ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ p1(X) ) ) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ( ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) )
% 0.60/1.21 & ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y) ) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | $false ) ) )
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) ) ) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ( ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y) ) )
% 0.60/1.21 & ~ p1(Y) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ( ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ p1(Y) ) )
% 0.60/1.21 & p1(Y) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ( ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ p1(X) ) ) )
% 0.60/1.21 & ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ p1(Y) ) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ( ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y) ) )
% 0.60/1.21 & ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) ) )
% 0.60/1.21 | ~ ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | $false ) )
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | ! [Y] :
% 0.60/1.21 ( ~ r1(X,Y)
% 0.60/1.21 | p1(Y)
% 0.60/1.21 | ~ ! [X] :
% 0.60/1.21 ( ~ r1(Y,X)
% 0.60/1.21 | p1(X) ) ) ) ) ) ) ) ).
% 0.60/1.21
% 0.60/1.21 %------------------------------------------------------------------------------
% 0.60/1.21 %-------------------------------------------
% 0.60/1.21 % Proof found
% 0.60/1.21 % SZS status Theorem for theBenchmark
% 0.60/1.21 % SZS output start Proof
% 0.60/1.21 %ClaNum:90(EqnAxiom:0)
% 0.60/1.21 %VarNum:820(SingletonVarNum:260)
% 0.60/1.21 %MaxLitNum:10
% 0.60/1.21 %MaxfuncDepth:1
% 0.60/1.21 %SharedTerms:56
% 0.60/1.21 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
% 0.60/1.21 %singleGoalClaCount:30
% 0.60/1.21 [1]P1(a1,a12)
% 0.60/1.21 [2]P1(a1,a2)
% 0.60/1.21 [3]P1(a1,a13)
% 0.60/1.21 [4]P1(a1,a25)
% 0.60/1.21 [5]P1(a1,a37)
% 0.60/1.21 [6]P1(a12,a56)
% 0.60/1.21 [7]P1(a56,a3)
% 0.60/1.21 [8]P1(a3,a4)
% 0.60/1.21 [9]P1(a4,a5)
% 0.60/1.21 [10]P1(a2,a14)
% 0.60/1.21 [11]P1(a14,a15)
% 0.60/1.21 [12]P1(a15,a16)
% 0.60/1.21 [13]P1(a16,a17)
% 0.60/1.21 [14]P1(a13,a26)
% 0.60/1.21 [15]P1(a26,a27)
% 0.60/1.21 [16]P1(a27,a28)
% 0.60/1.21 [17]P1(a28,a29)
% 0.60/1.21 [18]P1(a25,a38)
% 0.60/1.21 [19]P1(a38,a39)
% 0.60/1.21 [20]P1(a39,a40)
% 0.60/1.21 [21]P1(a40,a41)
% 0.60/1.21 [22]P1(a37,a49)
% 0.60/1.21 [23]P1(a49,a50)
% 0.60/1.21 [24]P1(a50,a51)
% 0.60/1.21 [25]P1(a51,a52)
% 0.60/1.21 [26]~P2(a5)
% 0.60/1.21 [27]~P2(a17)
% 0.60/1.21 [28]~P2(a29)
% 0.60/1.21 [29]~P2(a41)
% 0.60/1.21 [30]~P2(a52)
% 0.60/1.21 [31]P2(x311)+~P1(a5,x311)
% 0.60/1.21 [32]P2(x321)+~P1(a17,x321)
% 0.60/1.21 [33]P2(x331)+~P1(a29,x331)
% 0.60/1.21 [34]P2(x341)+~P1(a41,x341)
% 0.60/1.21 [35]P2(x351)+~P1(a52,x351)
% 0.60/1.21 [36]~P1(a1,x361)+P1(x361,f42(x361))
% 0.60/1.21 [38]~P1(x382,x381)+~P1(a1,x382)+P1(x381,f30(x382,x381))
% 0.60/1.21 [37]~P2(x371)+~P1(x371,x372)+~P1(a1,x371)+P2(f43(x371,x372))
% 0.60/1.21 [40]~P1(x401,x402)+P2(x401)+~P1(a1,x401)+P1(x402,f44(x401,x402))
% 0.60/1.21 [41]~P2(x412)+~P1(x412,x411)+~P1(a1,x412)+P1(x411,f43(x412,x411))
% 0.60/1.21 [43]P2(x431)+~P1(x431,x432)+~P1(a1,x431)+~P2(f44(x431,x432))
% 0.60/1.21 [47]~P1(x473,x471)+~P1(x472,x473)+~P1(a1,x472)+P1(x471,f18(x472,x473,x471))
% 0.60/1.21 [39]P2(x391)+~P1(x392,x391)+~P1(x393,x392)+~P1(a1,x393)+~P2(f45(x393))
% 0.60/1.21 [42]~P1(x422,x423)+P2(x421)+~P1(x423,x421)+~P1(a1,x422)+P1(x422,f45(x422))
% 0.60/1.21 [46]~P2(x462)+~P1(x462,x463)+~P1(x461,x462)+~P1(a1,x461)+P2(f32(x461,x462,x463))
% 0.60/1.21 [48]~P1(x481,x482)+~P1(x483,x481)+P2(x481)+~P1(a1,x483)+P1(x482,f33(x483,x481,x482))
% 0.60/1.21 [49]~P2(x493)+~P1(x493,x491)+~P1(x492,x493)+~P1(a1,x492)+P1(x491,f32(x492,x493,x491))
% 0.60/1.21 [50]~P1(x502,x503)+~P1(x501,x502)+~P1(a1,x501)+P1(x501,f46(x501))+P2(f47(x501,x502,x503))
% 0.60/1.21 [51]~P1(x513,x512)+~P1(x511,x513)+~P1(a1,x511)+P1(x511,f46(x511))+P1(x512,f47(x511,x513,x512))
% 0.60/1.21 [55]P2(x551)+~P1(x551,x552)+~P1(x553,x551)+~P1(a1,x553)+~P2(f33(x553,x551,x552))
% 0.60/1.21 [58]~P1(x584,x581)+~P1(x583,x584)+~P1(x582,x583)+~P1(a1,x582)+P1(x581,f6(x582,x583,x584,x581))
% 0.60/1.21 [44]~P1(x443,x442)+~P1(x442,x444)+P2(x441)+~P1(x444,x441)+~P1(a1,x443)+P1(x442,f31(x443,x442))
% 0.60/1.21 [45]P2(x451)+~P1(x452,x451)+~P1(x453,x452)+~P1(x454,x453)+~P1(a1,x454)+~P2(f31(x454,x453))
% 0.60/1.21 [52]~P1(x522,x523)+~P1(x521,x522)+~P2(x524)+~P1(a1,x521)+~P1(f46(x521),x524)+P2(f47(x521,x522,x523))
% 0.60/1.21 [53]~P1(x533,x531)+~P1(x532,x533)+~P2(x534)+~P1(a1,x532)+~P1(f46(x532),x534)+P1(x531,f47(x532,x533,x531))
% 0.60/1.21 [57]~P2(x573)+~P1(x573,x574)+~P1(x572,x573)+~P1(x571,x572)+~P1(a1,x571)+P2(f20(x571,x572,x573,x574))
% 0.60/1.21 [59]~P1(x591,x592)+~P1(x594,x591)+~P1(x593,x594)+P2(x591)+~P1(a1,x593)+P1(x592,f21(x593,x594,x591,x592))
% 0.60/1.21 [60]~P2(x604)+~P1(x604,x601)+~P1(x603,x604)+~P1(x602,x603)+~P1(a1,x602)+P1(x601,f20(x602,x603,x604,x601))
% 0.60/1.21 [61]~P1(x613,x614)+~P1(x612,x611)+~P1(x611,x613)+~P1(a1,x612)+P1(x611,f34(x612,x611))+P2(f35(x612,x611,x613,x614))
% 0.60/1.21 [62]~P1(x624,x623)+~P1(x622,x621)+~P1(x621,x624)+~P1(a1,x622)+P1(x621,f34(x622,x621))+P1(x623,f35(x622,x621,x624,x623))
% 0.60/1.21 [66]P2(x661)+~P1(x661,x662)+~P1(x663,x661)+~P1(x664,x663)+~P1(a1,x664)+~P2(f21(x664,x663,x661,x662))
% 0.60/1.21 [69]~P1(x695,x691)+~P1(x694,x695)+~P1(x693,x694)+~P1(x692,x693)+~P1(a1,x692)+P1(x691,f53(x692,x693,x694,x695,x691))
% 0.60/1.21 [54]~P1(x544,x542)+~P1(x543,x544)+~P1(x542,x545)+P2(x541)+~P1(x545,x541)+~P1(a1,x543)+P1(x542,f19(x543,x544,x542))
% 0.60/1.21 [56]P2(x561)+~P1(x562,x561)+~P1(x563,x562)+~P1(x564,x563)+~P1(x565,x564)+~P1(a1,x565)+~P2(f19(x565,x564,x563))
% 0.60/1.21 [64]~P1(x643,x644)+~P1(x642,x643)+~P1(x641,x642)+~P2(x645)+~P1(a1,x641)+~P1(f34(x641,x642),x645)+P2(f35(x641,x642,x643,x644))
% 0.60/1.21 [65]~P1(x654,x651)+~P1(x653,x654)+~P1(x652,x653)+~P2(x655)+~P1(a1,x652)+~P1(f34(x652,x653),x655)+P1(x651,f35(x652,x653,x654,x651))
% 0.60/1.21 [68]~P2(x684)+~P1(x684,x685)+~P1(x683,x684)+~P1(x682,x683)+~P1(x681,x682)+~P1(a1,x681)+P2(f8(x681,x682,x683,x684,x685))
% 0.60/1.21 [70]~P1(x701,x702)+~P1(x705,x701)+~P1(x704,x705)+~P1(x703,x704)+P2(x701)+~P1(a1,x703)+P1(x702,f9(x703,x704,x705,x701,x702))
% 0.60/1.21 [71]~P2(x715)+~P1(x715,x711)+~P1(x714,x715)+~P1(x713,x714)+~P1(x712,x713)+~P1(a1,x712)+P1(x711,f8(x712,x713,x714,x715,x711))
% 0.60/1.21 [73]~P1(x734,x735)+~P1(x733,x731)+~P1(x732,x733)+~P1(x731,x734)+~P1(a1,x732)+P1(x731,f22(x732,x733,x731))+P2(f23(x732,x733,x731,x734,x735))
% 0.60/1.21 [74]~P1(x745,x744)+~P1(x743,x741)+~P1(x742,x743)+~P1(x741,x745)+~P1(a1,x742)+P1(x741,f22(x742,x743,x741))+P1(x744,f23(x742,x743,x741,x745,x744))
% 0.60/1.21 [77]P2(x771)+~P1(x771,x772)+~P1(x773,x771)+~P1(x774,x773)+~P1(x775,x774)+~P1(a1,x775)+~P2(f9(x775,x774,x773,x771,x772))
% 0.60/1.21 [63]~P1(x635,x632)+~P1(x634,x635)+~P1(x633,x634)+~P1(x632,x636)+P2(x631)+~P1(x636,x631)+~P1(a1,x633)+P1(x632,f7(x633,x634,x635,x632))
% 0.60/1.21 [67]P2(x671)+~P1(x672,x671)+~P1(x673,x672)+~P1(x674,x673)+~P1(x675,x674)+~P1(x676,x675)+~P1(a1,x676)+~P2(f7(x676,x675,x674,x673))
% 0.60/1.21 [75]~P1(x754,x755)+~P1(x753,x754)+~P1(x752,x753)+~P1(x751,x752)+~P2(x756)+~P1(a1,x751)+~P1(f22(x751,x752,x753),x756)+P2(f23(x751,x752,x753,x754,x755))
% 0.60/1.21 [76]~P1(x765,x761)+~P1(x764,x765)+~P1(x763,x764)+~P1(x762,x763)+~P2(x766)+~P1(a1,x762)+~P1(f22(x762,x763,x764),x766)+P1(x761,f23(x762,x763,x764,x765,x761))
% 0.60/1.21 [79]~P2(x795)+~P1(x795,x796)+~P1(x794,x795)+~P1(x793,x794)+~P1(x792,x793)+~P1(x791,x792)+~P1(a1,x791)+P2(f36(x791,x792,x793,x794,x795,x796))
% 0.60/1.21 [80]~P1(x801,x802)+~P1(x806,x801)+~P1(x805,x806)+~P1(x804,x805)+~P1(x803,x804)+P2(x801)+~P1(a1,x803)+P1(x802,f24(x803,x804,x805,x806,x801,x802))
% 0.60/1.21 [81]~P2(x816)+~P1(x816,x811)+~P1(x815,x816)+~P1(x814,x815)+~P1(x813,x814)+~P1(x812,x813)+~P1(a1,x812)+P1(x811,f36(x812,x813,x814,x815,x816,x811))
% 0.60/1.21 [82]~P1(x825,x826)+~P1(x824,x821)+~P1(x823,x824)+~P1(x822,x823)+~P1(x821,x825)+~P1(a1,x822)+P1(x821,f10(x822,x823,x824,x821))+P2(f11(x822,x823,x824,x821,x825,x826))
% 0.60/1.21 [83]~P1(x836,x835)+~P1(x834,x831)+~P1(x833,x834)+~P1(x832,x833)+~P1(x831,x836)+~P1(a1,x832)+P1(x831,f10(x832,x833,x834,x831))+P1(x835,f11(x832,x833,x834,x831,x836,x835))
% 0.60/1.21 [86]P2(x861)+~P1(x861,x862)+~P1(x863,x861)+~P1(x864,x863)+~P1(x865,x864)+~P1(x866,x865)+~P1(a1,x866)+~P2(f24(x866,x865,x864,x863,x861,x862))
% 0.60/1.21 [72]~P1(x726,x722)+~P1(x725,x726)+~P1(x724,x725)+~P1(x723,x724)+~P1(x722,x727)+P2(x721)+~P1(x727,x721)+~P1(a1,x723)+P1(x722,f54(x723,x724,x725,x726,x722))
% 0.60/1.21 [78]P2(x781)+~P1(x782,x781)+~P1(x783,x782)+~P1(x784,x783)+~P1(x785,x784)+~P1(x786,x785)+~P1(x787,x786)+~P1(a1,x787)+~P2(f54(x787,x786,x785,x784,x783))
% 0.60/1.21 [84]~P1(x845,x846)+~P1(x844,x845)+~P1(x843,x844)+~P1(x842,x843)+~P1(x841,x842)+~P2(x847)+~P1(a1,x841)+~P1(f10(x841,x842,x843,x844),x847)+P2(f11(x841,x842,x843,x844,x845,x846))
% 0.60/1.21 [85]~P1(x856,x851)+~P1(x855,x856)+~P1(x854,x855)+~P1(x853,x854)+~P1(x852,x853)+~P2(x857)+~P1(a1,x852)+~P1(f10(x852,x853,x854,x855),x857)+P1(x851,f11(x852,x853,x854,x855,x856,x851))
% 0.60/1.21 [87]~P1(x876,x877)+~P1(x875,x871)+~P1(x874,x875)+~P1(x873,x874)+~P1(x872,x873)+~P1(x871,x876)+~P1(a1,x872)+P1(x871,f55(x872,x873,x874,x875,x871))+P2(f48(x872,x873,x874,x875,x871,x876,x877))
% 0.60/1.21 [88]~P1(x887,x886)+~P1(x885,x881)+~P1(x884,x885)+~P1(x883,x884)+~P1(x882,x883)+~P1(x881,x887)+~P1(a1,x882)+P1(x881,f55(x882,x883,x884,x885,x881))+P1(x886,f48(x882,x883,x884,x885,x881,x887,x886))
% 0.60/1.21 [89]~P1(x896,x897)+~P1(x895,x896)+~P1(x894,x895)+~P1(x893,x894)+~P1(x892,x893)+~P1(x891,x892)+~P2(x898)+~P1(a1,x891)+~P1(f55(x891,x892,x893,x894,x895),x898)+P2(f48(x891,x892,x893,x894,x895,x896,x897))
% 0.60/1.21 [90]~P1(x907,x901)+~P1(x906,x907)+~P1(x905,x906)+~P1(x904,x905)+~P1(x903,x904)+~P1(x902,x903)+~P2(x908)+~P1(a1,x902)+~P1(f55(x902,x903,x904,x905,x906),x908)+P1(x901,f48(x902,x903,x904,x905,x906,x907,x901))
% 0.60/1.21 %EqnAxiom
% 0.60/1.21
% 0.60/1.21 %-------------------------------------------
% 0.60/1.21 cnf(124,plain,
% 0.60/1.21 (P1(a17,f53(a2,a14,a15,a16,a17))),
% 0.60/1.21 inference(scs_inference,[],[10,11,12,13,2,69])).
% 0.60/1.21 cnf(125,plain,
% 0.60/1.21 (~P2(f24(a2,a14,a15,a16,a17,f53(a2,a14,a15,a16,a17)))),
% 0.60/1.21 inference(scs_inference,[],[10,11,12,13,27,2,69,86])).
% 0.60/1.21 cnf(126,plain,
% 0.60/1.21 (P1(f53(a2,a14,a15,a16,a17),f24(a2,a14,a15,a16,a17,f53(a2,a14,a15,a16,a17)))),
% 0.60/1.21 inference(scs_inference,[],[10,11,12,13,27,2,69,86,80])).
% 0.60/1.21 cnf(127,plain,
% 0.60/1.21 (~P2(f54(a2,a14,a15,a16,a17))),
% 0.60/1.21 inference(scs_inference,[],[10,11,12,13,27,2,69,86,80,78])).
% 0.60/1.21 cnf(266,plain,
% 0.60/1.21 ($false),
% 0.60/1.21 inference(scs_inference,[],[126,124,125,13,12,11,10,127,2,72,32]),
% 0.60/1.21 ['proof']).
% 0.60/1.21 % SZS output end Proof
% 0.60/1.21 % Total time :0.520000s
%------------------------------------------------------------------------------