TSTP Solution File: ITP006+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 03:06:25 EDT 2023
% Result : Theorem 0.61s 1.00s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 16:07:58 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 0.61/0.99 %-------------------------------------------
% 0.61/0.99 % File :CSE---1.6
% 0.61/0.99 % Problem :theBenchmark
% 0.61/0.99 % Transform :cnf
% 0.61/0.99 % Format :tptp:raw
% 0.61/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.61/0.99
% 0.61/0.99 % Result :Theorem 0.300000s
% 0.61/0.99 % Output :CNFRefutation 0.300000s
% 0.61/0.99 %-------------------------------------------
% 0.61/0.99 %------------------------------------------------------------------------------
% 0.61/0.99 % File : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.61/0.99 % Domain : Interactive Theorem Proving
% 0.61/0.99 % Problem : HOL4 syntactic export of thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT.p, bushy mode
% 0.61/0.99 % Version : [BG+19] axioms.
% 0.61/0.99 % English :
% 0.61/0.99
% 0.61/0.99 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.61/0.99 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.61/0.99 % Source : [BG+19]
% 0.61/0.99 % Names : thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT.p [Gau19]
% 0.61/0.99 % : HL402501+1.p [TPAP]
% 0.61/0.99
% 0.61/0.99 % Status : Theorem
% 0.61/0.99 % Rating : 0.50 v8.1.0, 0.53 v7.5.0
% 0.61/0.99 % Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% 0.61/0.99 % Number of atoms : 185 ( 30 equ)
% 0.61/0.99 % Maximal formula atoms : 16 ( 3 avg)
% 0.61/0.99 % Number of connectives : 177 ( 41 ~; 24 |; 26 &)
% 0.61/0.99 % ( 45 <=>; 41 =>; 0 <=; 0 <~>)
% 0.61/0.99 % Maximal formula depth : 16 ( 6 avg)
% 0.61/0.99 % Maximal term depth : 11 ( 2 avg)
% 0.61/0.99 % Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% 0.61/0.99 % Number of functors : 35 ( 35 usr; 19 con; 0-2 aty)
% 0.61/0.99 % Number of variables : 141 ( 136 !; 5 ?)
% 0.61/0.99 % SPC : FOF_THM_RFO_SEQ
% 0.61/0.99
% 0.61/0.99 % Comments :
% 0.61/0.99 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.61/0.99 %------------------------------------------------------------------------------
% 0.61/0.99 fof(reserved_2Eho_2Eeq__ext,axiom,
% 0.61/0.99 ! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
% 0.61/0.99 ( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
% 0.61/0.99 => s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Eboolext,axiom,
% 0.61/0.99 ! [V0_2E0,V1_2E0] :
% 0.61/0.99 ( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
% 0.61/0.99 <=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
% 0.61/0.99 => s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Etruth,axiom,
% 0.61/0.99 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Enotfalse,axiom,
% 0.61/0.99 ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Ebool__cases__ax,axiom,
% 0.61/0.99 ! [V0t_2E0] :
% 0.61/0.99 ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
% 0.61/0.99 | s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Ei__thm,axiom,
% 0.61/0.99 ! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Ek__thm,axiom,
% 0.61/0.99 ! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Eho_2Es__thm,axiom,
% 0.61/0.99 ! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Elogic_2E_2F_5C,axiom,
% 0.61/0.99 ! [V0_2E0,V1_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
% 0.61/0.99 <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
% 0.61/0.99 & p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Elogic_2E_5C_2F,axiom,
% 0.61/0.99 ! [V0_2E0,V1_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
% 0.61/0.99 <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
% 0.61/0.99 | p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Elogic_2E_7E,axiom,
% 0.61/0.99 ! [V0_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
% 0.61/0.99 <=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.61/0.99 ! [V0_2E0,V1_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
% 0.61/0.99 <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
% 0.61/0.99 => p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Elogic_2E_3D,axiom,
% 0.61/0.99 ! [A_27a,V0_2E0,V1_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
% 0.61/0.99 <=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Equant_2E_21,axiom,
% 0.61/0.99 ! [A_27a,V0f_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
% 0.61/0.99 <=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ) ).
% 0.61/0.99
% 0.61/0.99 fof(reserved_2Equant_2E_3F,axiom,
% 0.61/0.99 ! [A_27a,V0f_2E0] :
% 0.61/0.99 ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
% 0.61/0.99 <=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ) ).
% 0.61/0.99
% 0.61/0.99 fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
% 0.61/0.99 ! [X0_2E0,X1_2E0] :
% 0.61/0.99 ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
% 0.61/0.99 & p(s(tyop_2Emin_2Ebool,X1_2E0)) )
% 0.61/0.99 <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).
% 0.61/0.99
% 0.61/0.99 fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
% 0.61/0.99 ! [X0_2E0,X1_2E0] :
% 0.61/0.99 ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
% 0.61/0.99 | p(s(tyop_2Emin_2Ebool,X1_2E0)) )
% 0.61/0.99 <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).
% 0.61/0.99
% 0.61/0.99 fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
% 0.61/0.99 ! [X0_2E0] :
% 0.61/0.99 ( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
% 0.61/0.99 <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ) ).
% 0.61/0.99
% 0.61/0.99 fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
% 0.61/1.00 ! [X0_2E0,X1_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,X1_2E0)) )
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.61/1.00 ! [A_27a,X0_2E0,X1_2E0] :
% 0.61/1.00 ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.61/1.00 ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.61/1.00 ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
% 0.61/1.00 ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2ETRUTH,axiom,
% 0.61/1.00 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.61/1.00 ! [V0t_2E0] :
% 0.61/1.00 ( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 & ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
% 0.61/1.00 & ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
% 0.61/1.00 & ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
% 0.61/1.00 & ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.61/1.00 ( ! [V0t_2E0] :
% 0.61/1.00 ( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.61/1.00 ! [A_27a,V0x_2E0,V1y_2E0] :
% 0.61/1.00 ( s(A_27a,V0x_2E0) = s(A_27a,V1y_2E0)
% 0.61/1.00 <=> s(A_27a,V1y_2E0) = s(A_27a,V0x_2E0) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.61/1.00 ! [V0t_2E0] :
% 0.61/1.00 ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 & ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
% 0.61/1.00 <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
% 0.61/1.00 & ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
% 0.61/1.00 <=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.61/1.00 ! [V0t1_2E0,V1t2_2E0,V2t3_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,V0t1_2E0))
% 0.61/1.00 => ( p(s(tyop_2Emin_2Ebool,V1t2_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V2t3_2E0)) ) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V0t1_2E0))
% 0.61/1.00 & p(s(tyop_2Emin_2Ebool,V1t2_2E0)) )
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V2t3_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Ebool_2EIMP__CONG,axiom,
% 0.61/1.00 ! [V0x_2E0,V1x_27_2E0,V2y_2E0,V3y_27_2E0] :
% 0.61/1.00 ( ( s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V1x_27_2E0)
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
% 0.61/1.00 => s(tyop_2Emin_2Ebool,V2y_2E0) = s(tyop_2Emin_2Ebool,V3y_27_2E0) ) )
% 0.61/1.00 => ( ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V2y_2E0)) )
% 0.61/1.00 <=> ( p(s(tyop_2Emin_2Ebool,V1x_27_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V3y_27_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
% 0.61/1.00 ! [A_27a,A_27b,V0i_2E0,V1P_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0))))
% 0.61/1.00 <=> ! [V2v_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,V2v_2E0))))
% 0.61/1.00 => ? [V3fv_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(A_27a,V3fv_2E0)))))) ) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0))))
% 0.61/1.00 <=> ! [V4v_2E0] :
% 0.61/1.00 ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,V4v_2E0))))
% 0.61/1.00 => ? [V5fv_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(A_27a,V5fv_2E0)))))) ) )
% 0.61/1.00 & ! [V6i_2E0,V7P_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V6i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V7P_2E0))))
% 0.61/1.00 <=> ! [V8fv_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V7P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V6i_2E0),s(A_27a,V8fv_2E0)))))) )
% 0.61/1.00 & ! [V9i_2E0,V10P_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V9i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V10P_2E0))))
% 0.61/1.00 <=> ! [V11fv_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V10P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V9i_2E0),s(A_27a,V11fv_2E0)))))) )
% 0.61/1.00 & ! [V12i_2E0,V13P_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V12i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V13P_2E0))))
% 0.61/1.00 <=> ! [V14v_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V13P_2E0),s(A_27b,V14v_2E0))))
% 0.61/1.00 => ? [V15fv_2E0] : s(A_27b,V14v_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V12i_2E0),s(A_27a,V15fv_2E0))) ) )
% 0.61/1.00 & ! [V16i_2E0,V17P_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V16i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V17P_2E0))))
% 0.61/1.00 <=> ! [V18v_2E0] :
% 0.61/1.00 ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V17P_2E0),s(A_27b,V18v_2E0))))
% 0.61/1.00 => ? [V19fv_2E0] : s(A_27b,V18v_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V16i_2E0),s(A_27a,V19fv_2E0))) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2ENOT__NOT,axiom,
% 0.61/1.00 ! [V0t_2E0] :
% 0.61/1.00 ( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
% 0.61/1.00 <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.61/1.00 ! [V0A_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
% 0.61/1.00 => ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2EOR__DUAL2,axiom,
% 0.61/1.00 ! [V0B_2E0,V1A_2E0] :
% 0.61/1.00 ( ( ~ ( p(s(tyop_2Emin_2Ebool,V1A_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0B_2E0)) )
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V1A_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 => ( ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2EOR__DUAL3,axiom,
% 0.61/1.00 ! [V0B_2E0,V1A_2E0] :
% 0.61/1.00 ( ( ~ ( ~ p(s(tyop_2Emin_2Ebool,V1A_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0B_2E0)) )
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 <=> ( p(s(tyop_2Emin_2Ebool,V1A_2E0))
% 0.61/1.00 => ( ~ p(s(tyop_2Emin_2Ebool,V0B_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2EAND__INV2,axiom,
% 0.61/1.00 ! [V0A_2E0] :
% 0.61/1.00 ( ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 => ( ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Edc__eq,axiom,
% 0.61/1.00 ! [V0r_2E0,V1q_2E0,V2p_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 <=> s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0r_2E0) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V0r_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Edc__disj,axiom,
% 0.61/1.00 ! [V0r_2E0,V1q_2E0,V2p_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 <=> ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0r_2E0)) ) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0r_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Edc__imp,axiom,
% 0.61/1.00 ! [V0r_2E0,V1q_2E0,V2p_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 <=> ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0r_2E0)) ) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
% 0.61/1.00 & ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
% 0.61/1.00 & ( ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0r_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Edc__neg,axiom,
% 0.61/1.00 ! [V0q_2E0,V1p_2E0] :
% 0.61/1.00 ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
% 0.61/1.00 <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
% 0.61/1.00 <=> ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
% 0.61/1.00 | p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
% 0.61/1.00 & ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
% 0.61/1.00 | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Epth__ni1,axiom,
% 0.61/1.00 ! [V0q_2E0,V1p_2E0] :
% 0.61/1.00 ( ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2Esat_2Epth__ni2,axiom,
% 0.61/1.00 ! [V0q_2E0,V1p_2E0] :
% 0.61/1.00 ( ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
% 0.61/1.00 => ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).
% 0.61/1.00
% 0.61/1.00 fof(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
% 0.61/1.00 ! [A_27a,A_27b,V0i_2E0,V1P_2E0,V2Q_2E0] :
% 0.61/1.00 ( ! [V3x_2E0] :
% 0.61/1.00 ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2Q_2E0),s(A_27a,V3x_2E0))))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0),s(A_27a,V3x_2E0)))) )
% 0.61/1.00 => ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V0i_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0))))
% 0.61/1.00 => p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V0i_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2Q_2E0)))) ) ) ).
% 0.61/1.00
% 0.61/1.00 %------------------------------------------------------------------------------
% 0.61/1.00 %-------------------------------------------
% 0.61/1.00 % Proof found
% 0.61/1.00 % SZS status Theorem for theBenchmark
% 0.61/1.00 % SZS output start Proof
% 0.61/1.01 %ClaNum:195(EqnAxiom:86)
% 0.61/1.01 %VarNum:652(SingletonVarNum:230)
% 0.61/1.01 %MaxLitNum:4
% 0.61/1.01 %MaxfuncDepth:6
% 0.61/1.01 %SharedTerms:47
% 0.61/1.01 %goalClause: 91 104 165
% 0.61/1.01 %singleGoalClaCount:2
% 0.61/1.01 [89]P1(f5(a1,a2))
% 0.61/1.01 [103]~P1(f5(a1,a4))
% 0.61/1.01 [91]P1(f5(a1,f7(f5(f53(a33,a34),a41),f5(f53(a34,a1),a42))))
% 0.61/1.01 [104]~P1(f5(a1,f7(f5(f53(a33,a34),a41),f5(f53(a34,a1),a43))))
% 0.61/1.01 [90]E(f5(x901,f3(f5(f53(x901,x901),a6),f5(x901,x902))),f5(x901,x902))
% 0.61/1.01 [92]E(f5(a1,f3(f5(f53(f53(x921,a1),a1),a8),f5(f53(x921,a1),x922))),f5(a1,f9(f5(f53(x921,a1),x922))))
% 0.61/1.01 [93]E(f5(a1,f3(f5(f53(f53(x931,a1),a1),a10),f5(f53(x931,a1),x932))),f5(a1,f13(f5(f53(x931,a1),x932))))
% 0.61/1.01 [94]E(f5(x941,f3(f5(f53(x942,x941),f3(f5(f53(x941,f53(x942,x941)),a35),f5(x941,x943))),f5(x942,x944))),f5(x941,x943))
% 0.61/1.01 [95]E(f5(a1,f3(f5(f53(f53(x951,a1),a1),f3(f5(f53(f53(x952,x951),f53(f53(x951,a1),a1)),a14),f5(f53(x952,x951),x953))),f5(f53(x951,a1),x954))),f5(a1,f23(f5(f53(x952,x951),x953),f5(f53(x951,a1),x954))))
% 0.61/1.01 [96]E(f5(a1,f3(f5(f53(f53(x961,a1),a1),f3(f5(f53(f53(x962,x961),f53(f53(x961,a1),a1)),a24),f5(f53(x962,x961),x963))),f5(f53(x961,a1),x964))),f5(a1,f25(f5(f53(x962,x961),x963),f5(f53(x961,a1),x964))))
% 0.61/1.01 [97]E(f5(a1,f3(f5(f53(f53(x971,a1),a1),f3(f5(f53(f53(x972,x971),f53(f53(x971,a1),a1)),a26),f5(f53(x972,x971),x973))),f5(f53(x971,a1),x974))),f5(a1,f27(f5(f53(x972,x971),x973),f5(f53(x971,a1),x974))))
% 0.61/1.01 [98]E(f5(a1,f3(f5(f53(f53(x981,a1),a1),f3(f5(f53(f53(x982,x981),f53(f53(x981,a1),a1)),a28),f5(f53(x982,x981),x983))),f5(f53(x981,a1),x984))),f5(a1,f29(f5(f53(x982,x981),x983),f5(f53(x981,a1),x984))))
% 0.61/1.01 [99]E(f5(a1,f3(f5(f53(f53(x991,a1),a1),f3(f5(f53(f53(x992,x991),f53(f53(x991,a1),a1)),a30),f5(f53(x992,x991),x993))),f5(f53(x991,a1),x994))),f5(a1,f31(f5(f53(x992,x991),x993),f5(f53(x991,a1),x994))))
% 0.61/1.01 [101]E(f5(a1,f3(f5(f53(f53(x1011,a1),a1),f3(f5(f53(f53(x1012,x1011),f53(f53(x1011,a1),a1)),a32),f5(f53(x1012,x1011),x1013))),f5(f53(x1011,a1),x1014))),f5(a1,f7(f5(f53(x1012,x1011),x1013),f5(f53(x1011,a1),x1014))))
% 0.61/1.01 [102]E(f5(x1021,f3(f5(f53(x1022,x1021),f3(f5(f53(f53(x1022,x1023),f53(x1022,x1021)),f3(f5(f53(f53(x1022,f53(x1023,x1021)),f53(f53(x1022,x1023),f53(x1022,x1021))),a36),f5(f53(x1022,f53(x1023,x1021)),x1024))),f5(f53(x1022,x1023),x1025))),f5(x1022,x1026))),f5(x1021,f3(f5(f53(x1023,x1021),f3(f5(f53(x1022,f53(x1023,x1021)),x1024),f5(x1022,x1026))),f5(x1023,f3(f5(f53(x1022,x1023),x1025),f5(x1022,x1026))))))
% 0.61/1.01 [105]E(f5(a1,x1051),f5(a1,a2))+E(f5(a1,x1051),f5(a1,a4))
% 0.61/1.01 [109]E(f5(a1,x1091),f5(a1,a4))+P1(f5(a1,x1091))
% 0.61/1.01 [110]E(f5(a1,a4),f5(a1,x1101))+P1(f5(a1,x1101))
% 0.61/1.01 [113]~E(f5(a1,x1131),f5(a1,a2))+P1(f5(a1,x1131))
% 0.61/1.01 [114]~E(f5(a1,a2),f5(a1,x1141))+P1(f5(a1,x1141))
% 0.61/1.01 [115]E(f5(a1,x1151),f5(a1,a2))+~P1(f5(a1,x1151))
% 0.61/1.01 [116]E(f5(a1,a2),f5(a1,x1161))+~P1(f5(a1,x1161))
% 0.61/1.01 [121]~E(f5(a1,x1211),f5(a1,a4))+~P1(f5(a1,x1211))
% 0.61/1.01 [122]~E(f5(a1,a4),f5(a1,x1221))+~P1(f5(a1,x1221))
% 0.61/1.01 [138]P1(f5(a1,x1381))+P1(f5(a1,f15(f5(a1,x1381))))
% 0.61/1.01 [149]~P1(f5(a1,x1491))+~P1(f5(a1,f15(f5(a1,x1491))))
% 0.61/1.01 [158]P1(f5(a1,x1581))+P1(f5(a1,f3(f5(f53(a1,a1),a18),f5(a1,x1581))))
% 0.61/1.01 [162]~P1(f5(a1,x1621))+~P1(f5(a1,f3(f5(f53(a1,a1),a18),f5(a1,x1621))))
% 0.61/1.01 [165]~P1(f5(a1,f3(f5(f53(a34,a1),a43),f5(a34,x1651))))+P1(f5(a1,f3(f5(f53(a34,a1),a42),f5(a34,x1651))))
% 0.61/1.01 [150]P1(f5(a1,x1501))+P1(f5(a1,f19(f5(a1,x1501),f5(a1,x1502))))
% 0.61/1.01 [151]~P1(f5(a1,x1512))+P1(f5(a1,f16(f5(a1,x1511),f5(a1,x1512))))
% 0.61/1.01 [152]~P1(f5(a1,x1521))+P1(f5(a1,f16(f5(a1,x1521),f5(a1,x1522))))
% 0.61/1.01 [153]~P1(f5(a1,x1532))+P1(f5(a1,f19(f5(a1,x1531),f5(a1,x1532))))
% 0.61/1.01 [156]P1(f5(a1,x1561))+~P1(f5(a1,f11(f5(a1,x1562),f5(a1,x1561))))
% 0.61/1.01 [157]P1(f5(a1,x1571))+~P1(f5(a1,f11(f5(a1,x1571),f5(a1,x1572))))
% 0.61/1.01 [172]P1(f5(a1,x1721))+P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a22),f5(a1,x1721))),f5(a1,x1722))))
% 0.61/1.01 [173]~P1(f5(a1,x1732))+P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a17),f5(a1,x1731))),f5(a1,x1732))))
% 0.61/1.01 [174]~P1(f5(a1,x1741))+P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a17),f5(a1,x1741))),f5(a1,x1742))))
% 0.61/1.01 [175]~P1(f5(a1,x1752))+P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a22),f5(a1,x1751))),f5(a1,x1752))))
% 0.61/1.01 [182]P1(f5(a1,x1821))+~P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a12),f5(a1,x1822))),f5(a1,x1821))))
% 0.61/1.01 [183]P1(f5(a1,x1831))+~P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a12),f5(a1,x1831))),f5(a1,x1832))))
% 0.61/1.01 [166]P1(f5(a1,f3(f5(f53(x1661,a1),x1662),f5(x1661,f44(x1661,x1662)))))+~P1(f5(a1,f13(f5(f53(x1661,a1),x1662))))
% 0.61/1.01 [167]~P1(f5(a1,f3(f5(f53(x1671,a1),x1672),f5(x1671,f45(x1671,x1672)))))+P1(f5(a1,f9(f5(f53(x1671,a1),x1672))))
% 0.61/1.01 [154]~E(f5(x1541,x1542),f5(x1541,x1543))+P1(f5(a1,f20(f5(x1541,x1542),f5(x1541,x1543))))
% 0.61/1.01 [160]E(f5(x1601,x1602),f5(x1601,x1603))+~P1(f5(a1,f20(f5(x1601,x1602),f5(x1601,x1603))))
% 0.61/1.01 [177]~E(f5(x1771,x1772),f5(x1771,x1773))+P1(f5(a1,f3(f5(f53(x1771,a1),f3(f5(f53(x1771,f53(x1771,a1)),a21),f5(x1771,x1772))),f5(x1771,x1773))))
% 0.61/1.01 [186]E(f5(x1861,x1862),f5(x1861,x1863))+~P1(f5(a1,f3(f5(f53(x1861,a1),f3(f5(f53(x1861,f53(x1861,a1)),a21),f5(x1861,x1862))),f5(x1861,x1863))))
% 0.61/1.01 [163]P1(f5(a1,f3(f5(f53(x1631,a1),x1632),f5(x1631,x1633))))+~P1(f5(a1,f9(f5(f53(x1631,a1),x1632))))
% 0.61/1.01 [164]~P1(f5(a1,f3(f5(f53(x1641,a1),x1642),f5(x1641,x1643))))+P1(f5(a1,f13(f5(f53(x1641,a1),x1642))))
% 0.61/1.01 [180]P1(f5(a1,f3(f5(f53(x1802,a1),x1804),f5(x1802,f47(x1801,x1802,x1803,x1804)))))+P1(f5(a1,f23(f5(f53(x1801,x1802),x1803),f5(f53(x1802,a1),x1804))))
% 0.61/1.01 [181]P1(f5(a1,f3(f5(f53(x1812,a1),x1814),f5(x1812,f37(x1811,x1812,x1813,x1814)))))+P1(f5(a1,f25(f5(f53(x1811,x1812),x1813),f5(f53(x1812,a1),x1814))))
% 0.61/1.01 [187]E(f5(f53(x1871,x1872),x1873),f5(f53(x1871,x1872),x1874))+~E(f5(x1872,f3(f5(f53(x1871,x1872),x1873),f5(x1871,f46(x1871,x1872,x1873,x1874)))),f5(x1872,f3(f5(f53(x1871,x1872),x1874),f5(x1871,f46(x1871,x1872,x1873,x1874)))))
% 0.61/1.01 [188]~P1(f5(a1,f3(f5(f53(x1882,a1),x1884),f5(x1882,f49(x1881,x1882,x1883,x1884)))))+P1(f5(a1,f29(f5(f53(x1881,x1882),x1883),f5(f53(x1882,a1),x1884))))
% 0.61/1.01 [189]~P1(f5(a1,f3(f5(f53(x1892,a1),x1894),f5(x1892,f39(x1891,x1892,x1893,x1894)))))+P1(f5(a1,f31(f5(f53(x1891,x1892),x1893),f5(f53(x1892,a1),x1894))))
% 0.61/1.01 [192]P1(f5(a1,f7(f5(f53(x1921,x1922),x1923),f5(f53(x1922,a1),x1924))))+P1(f5(a1,f3(f5(f53(x1922,a1),x1924),f5(x1922,f3(f5(f53(x1921,x1922),x1923),f5(x1921,f51(x1921,x1922,x1923,x1924)))))))
% 0.61/1.01 [194]P1(f5(a1,f27(f5(f53(x1941,x1942),x1943),f5(f53(x1942,a1),x1944))))+~P1(f5(a1,f3(f5(f53(x1942,a1),x1944),f5(x1942,f3(f5(f53(x1941,x1942),x1943),f5(x1941,f52(x1941,x1942,x1943,x1944)))))))
% 0.61/1.01 [168]~E(f5(x1682,f37(x1681,x1682,x1683,x1684)),f5(x1682,f3(f5(f53(x1681,x1682),x1683),f5(x1681,x1685))))+P1(f5(a1,f25(f5(f53(x1681,x1682),x1683),f5(f53(x1682,a1),x1684))))
% 0.61/1.01 [169]~E(f5(x1692,f39(x1691,x1692,x1693,x1694)),f5(x1692,f3(f5(f53(x1691,x1692),x1693),f5(x1691,x1695))))+P1(f5(a1,f31(f5(f53(x1691,x1692),x1693),f5(f53(x1692,a1),x1694))))
% 0.61/1.01 [170]P1(f5(a1,f29(f5(f53(x1701,x1702),x1703),f5(f53(x1702,a1),x1704))))+P1(f5(a1,f3(f5(f53(x1702,a1),x1704),f5(x1702,f3(f5(f53(x1701,x1702),x1703),f5(x1701,x1705))))))
% 0.61/1.01 [171]~P1(f5(a1,f27(f5(f53(x1713,x1711),x1714),f5(f53(x1711,a1),x1712))))+P1(f5(a1,f3(f5(f53(x1711,a1),x1712),f5(x1711,f3(f5(f53(x1713,x1711),x1714),f5(x1713,x1715))))))
% 0.61/1.01 [178]P1(f5(a1,f23(f5(f53(x1781,x1782),x1783),f5(f53(x1782,a1),x1784))))+~P1(f5(a1,f3(f5(f53(x1782,a1),x1784),f5(x1782,f3(f5(f53(x1781,x1782),x1783),f5(x1781,x1785))))))
% 0.61/1.01 [179]~P1(f5(a1,f7(f5(f53(x1791,x1792),x1793),f5(f53(x1792,a1),x1794))))+~P1(f5(a1,f3(f5(f53(x1792,a1),x1794),f5(x1792,f3(f5(f53(x1791,x1792),x1793),f5(x1791,x1795))))))
% 0.61/1.01 [120]E(f5(a1,x1201),f5(a1,x1202))+P1(f5(a1,x1201))+P1(f5(a1,x1202))
% 0.61/1.01 [126]E(f5(a1,x1261),f5(a1,x1262))+~P1(f5(a1,x1261))+~P1(f5(a1,x1262))
% 0.61/1.01 [155]~P1(f5(a1,x1551))+~P1(f5(a1,x1552))+P1(f5(a1,f11(f5(a1,x1551),f5(a1,x1552))))
% 0.61/1.01 [159]P1(f5(a1,x1591))+P1(f5(a1,x1592))+~P1(f5(a1,f16(f5(a1,x1592),f5(a1,x1591))))
% 0.61/1.01 [161]P1(f5(a1,x1611))+~P1(f5(a1,x1612))+~P1(f5(a1,f19(f5(a1,x1612),f5(a1,x1611))))
% 0.61/1.01 [176]~P1(f5(a1,x1761))+~P1(f5(a1,x1762))+P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a12),f5(a1,x1761))),f5(a1,x1762))))
% 0.61/1.01 [184]P1(f5(a1,x1841))+P1(f5(a1,x1842))+~P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a17),f5(a1,x1842))),f5(a1,x1841))))
% 0.61/1.01 [185]P1(f5(a1,x1851))+~P1(f5(a1,x1852))+~P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a22),f5(a1,x1852))),f5(a1,x1851))))
% 0.61/1.01 [125]P2(x1253,x1251,x1252)+E(f5(a1,x1251),f5(a1,x1252))+P1(f5(a1,x1253))
% 0.61/1.01 [128]P2(x1281,x1282,x1283)+P1(f5(a1,x1283))+~P1(f5(a1,x1282))
% 0.61/1.01 [130]P2(x1301,x1302,x1303)+P1(f5(a1,x1303))+~P1(f5(a1,x1301))
% 0.61/1.01 [131]P2(x1311,x1312,x1313)+~E(f5(a1,x1312),f5(a1,x1313))+~P1(f5(a1,x1311))
% 0.61/1.01 [133]P2(x1331,x1332,x1333)+~P1(f5(a1,x1331))+~P1(f5(a1,x1332))
% 0.61/1.01 [137]~P2(x1371,x1372,x1373)+~E(f5(a1,x1372),f5(a1,x1373))+P1(f5(a1,x1371))
% 0.61/1.01 [190]E(f5(x1901,f3(f5(f53(x1902,x1901),x1903),f5(x1902,f40(x1902,x1901,x1903,x1904,x1905)))),f5(x1901,x1905))+P1(f5(a1,f3(f5(f53(x1901,a1),x1904),f5(x1901,x1905))))+~P1(f5(a1,f31(f5(f53(x1902,x1901),x1903),f5(f53(x1901,a1),x1904))))
% 0.61/1.01 [191]E(f5(x1911,f3(f5(f53(x1912,x1911),x1913),f5(x1912,f38(x1912,x1911,x1913,x1914,x1915)))),f5(x1911,x1915))+~P1(f5(a1,f3(f5(f53(x1911,a1),x1914),f5(x1911,x1915))))+~P1(f5(a1,f25(f5(f53(x1912,x1911),x1913),f5(f53(x1911,a1),x1914))))
% 0.61/1.01 [193]~P1(f5(a1,f3(f5(f53(x1931,a1),x1932),f5(x1931,x1935))))+~P1(f5(a1,f23(f5(f53(x1933,x1931),x1934),f5(f53(x1931,a1),x1932))))+P1(f5(a1,f3(f5(f53(x1931,a1),x1932),f5(x1931,f3(f5(f53(x1933,x1931),x1934),f5(x1933,f48(x1933,x1931,x1934,x1932)))))))
% 0.61/1.01 [195]P1(f5(a1,f3(f5(f53(x1951,a1),x1952),f5(x1951,x1953))))+~P1(f5(a1,f29(f5(f53(x1954,x1951),x1955),f5(f53(x1951,a1),x1952))))+~P1(f5(a1,f3(f5(f53(x1951,a1),x1952),f5(x1951,f3(f5(f53(x1954,x1951),x1955),f5(x1954,f50(x1954,x1951,x1955,x1952)))))))
% 0.61/1.01 [136]P2(x1361,x1362,x1363)+P1(f5(a1,x1362))+P1(f5(a1,x1361))+~P1(f5(a1,x1363))
% 0.61/1.01 [139]~P2(x1393,x1392,x1391)+P1(f5(a1,x1391))+P1(f5(a1,x1392))+P1(f5(a1,x1393))
% 0.61/1.01 [143]~P2(x1433,x1431,x1432)+E(f5(a1,x1431),f5(a1,x1432))+P1(f5(a1,x1431))+~P1(f5(a1,x1433))
% 0.61/1.01 [146]~P2(x1463,x1461,x1462)+E(f5(a1,x1461),f5(a1,x1462))+~P1(f5(a1,x1462))+~P1(f5(a1,x1463))
% 0.61/1.01 [147]~P2(x1472,x1471,x1473)+~P1(f5(a1,x1472))+~P1(f5(a1,x1473))+P1(f5(a1,x1471))
% 0.61/1.01 [148]~P2(x1481,x1482,x1483)+~P1(f5(a1,x1482))+~P1(f5(a1,x1483))+P1(f5(a1,x1481))
% 0.61/1.01 %EqnAxiom
% 0.61/1.01 [1]E(x11,x11)
% 0.61/1.01 [2]E(x22,x21)+~E(x21,x22)
% 0.61/1.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.61/1.01 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.61/1.01 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.61/1.01 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.61/1.01 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.61/1.01 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.61/1.01 [9]~E(x91,x92)+E(f53(x91,x93),f53(x92,x93))
% 0.61/1.01 [10]~E(x101,x102)+E(f53(x103,x101),f53(x103,x102))
% 0.61/1.01 [11]~E(x111,x112)+E(f50(x111,x113,x114,x115),f50(x112,x113,x114,x115))
% 0.61/1.01 [12]~E(x121,x122)+E(f50(x123,x121,x124,x125),f50(x123,x122,x124,x125))
% 0.61/1.01 [13]~E(x131,x132)+E(f50(x133,x134,x131,x135),f50(x133,x134,x132,x135))
% 0.61/1.01 [14]~E(x141,x142)+E(f50(x143,x144,x145,x141),f50(x143,x144,x145,x142))
% 0.61/1.01 [15]~E(x151,x152)+E(f23(x151,x153),f23(x152,x153))
% 0.61/1.01 [16]~E(x161,x162)+E(f23(x163,x161),f23(x163,x162))
% 0.61/1.01 [17]~E(x171,x172)+E(f19(x171,x173),f19(x172,x173))
% 0.61/1.01 [18]~E(x181,x182)+E(f19(x183,x181),f19(x183,x182))
% 0.61/1.01 [19]~E(x191,x192)+E(f7(x191,x193),f7(x192,x193))
% 0.61/1.01 [20]~E(x201,x202)+E(f7(x203,x201),f7(x203,x202))
% 0.61/1.01 [21]~E(x211,x212)+E(f29(x211,x213),f29(x212,x213))
% 0.61/1.01 [22]~E(x221,x222)+E(f29(x223,x221),f29(x223,x222))
% 0.61/1.01 [23]~E(x231,x232)+E(f51(x231,x233,x234,x235),f51(x232,x233,x234,x235))
% 0.61/1.01 [24]~E(x241,x242)+E(f51(x243,x241,x244,x245),f51(x243,x242,x244,x245))
% 0.61/1.01 [25]~E(x251,x252)+E(f51(x253,x254,x251,x255),f51(x253,x254,x252,x255))
% 0.61/1.01 [26]~E(x261,x262)+E(f51(x263,x264,x265,x261),f51(x263,x264,x265,x262))
% 0.61/1.01 [27]~E(x271,x272)+E(f47(x271,x273,x274,x275),f47(x272,x273,x274,x275))
% 0.61/1.01 [28]~E(x281,x282)+E(f47(x283,x281,x284,x285),f47(x283,x282,x284,x285))
% 0.61/1.01 [29]~E(x291,x292)+E(f47(x293,x294,x291,x295),f47(x293,x294,x292,x295))
% 0.61/1.01 [30]~E(x301,x302)+E(f47(x303,x304,x305,x301),f47(x303,x304,x305,x302))
% 0.61/1.01 [31]~E(x311,x312)+E(f25(x311,x313),f25(x312,x313))
% 0.61/1.01 [32]~E(x321,x322)+E(f25(x323,x321),f25(x323,x322))
% 0.61/1.01 [33]~E(x331,x332)+E(f37(x331,x333,x334,x335),f37(x332,x333,x334,x335))
% 0.61/1.01 [34]~E(x341,x342)+E(f37(x343,x341,x344,x345),f37(x343,x342,x344,x345))
% 0.61/1.01 [35]~E(x351,x352)+E(f37(x353,x354,x351,x355),f37(x353,x354,x352,x355))
% 0.61/1.01 [36]~E(x361,x362)+E(f37(x363,x364,x365,x361),f37(x363,x364,x365,x362))
% 0.61/1.01 [37]~E(x371,x372)+E(f44(x371,x373),f44(x372,x373))
% 0.61/1.01 [38]~E(x381,x382)+E(f44(x383,x381),f44(x383,x382))
% 0.61/1.01 [39]~E(x391,x392)+E(f16(x391,x393),f16(x392,x393))
% 0.61/1.01 [40]~E(x401,x402)+E(f16(x403,x401),f16(x403,x402))
% 0.61/1.01 [41]~E(x411,x412)+E(f13(x411),f13(x412))
% 0.61/1.01 [42]~E(x421,x422)+E(f27(x421,x423),f27(x422,x423))
% 0.61/1.01 [43]~E(x431,x432)+E(f27(x433,x431),f27(x433,x432))
% 0.61/1.01 [44]~E(x441,x442)+E(f31(x441,x443),f31(x442,x443))
% 0.61/1.01 [45]~E(x451,x452)+E(f31(x453,x451),f31(x453,x452))
% 0.61/1.01 [46]~E(x461,x462)+E(f48(x461,x463,x464,x465),f48(x462,x463,x464,x465))
% 0.61/1.01 [47]~E(x471,x472)+E(f48(x473,x471,x474,x475),f48(x473,x472,x474,x475))
% 0.61/1.01 [48]~E(x481,x482)+E(f48(x483,x484,x481,x485),f48(x483,x484,x482,x485))
% 0.61/1.01 [49]~E(x491,x492)+E(f48(x493,x494,x495,x491),f48(x493,x494,x495,x492))
% 0.61/1.01 [50]~E(x501,x502)+E(f39(x501,x503,x504,x505),f39(x502,x503,x504,x505))
% 0.61/1.01 [51]~E(x511,x512)+E(f39(x513,x511,x514,x515),f39(x513,x512,x514,x515))
% 0.61/1.01 [52]~E(x521,x522)+E(f39(x523,x524,x521,x525),f39(x523,x524,x522,x525))
% 0.61/1.01 [53]~E(x531,x532)+E(f39(x533,x534,x535,x531),f39(x533,x534,x535,x532))
% 0.61/1.01 [54]~E(x541,x542)+E(f9(x541),f9(x542))
% 0.61/1.01 [55]~E(x551,x552)+E(f20(x551,x553),f20(x552,x553))
% 0.61/1.01 [56]~E(x561,x562)+E(f20(x563,x561),f20(x563,x562))
% 0.61/1.01 [57]~E(x571,x572)+E(f38(x571,x573,x574,x575,x576),f38(x572,x573,x574,x575,x576))
% 0.61/1.01 [58]~E(x581,x582)+E(f38(x583,x581,x584,x585,x586),f38(x583,x582,x584,x585,x586))
% 0.61/1.01 [59]~E(x591,x592)+E(f38(x593,x594,x591,x595,x596),f38(x593,x594,x592,x595,x596))
% 0.61/1.01 [60]~E(x601,x602)+E(f38(x603,x604,x605,x601,x606),f38(x603,x604,x605,x602,x606))
% 0.61/1.01 [61]~E(x611,x612)+E(f38(x613,x614,x615,x616,x611),f38(x613,x614,x615,x616,x612))
% 0.61/1.01 [62]~E(x621,x622)+E(f52(x621,x623,x624,x625),f52(x622,x623,x624,x625))
% 0.61/1.01 [63]~E(x631,x632)+E(f52(x633,x631,x634,x635),f52(x633,x632,x634,x635))
% 0.61/1.01 [64]~E(x641,x642)+E(f52(x643,x644,x641,x645),f52(x643,x644,x642,x645))
% 0.61/1.01 [65]~E(x651,x652)+E(f52(x653,x654,x655,x651),f52(x653,x654,x655,x652))
% 0.61/1.01 [66]~E(x661,x662)+E(f45(x661,x663),f45(x662,x663))
% 0.61/1.01 [67]~E(x671,x672)+E(f45(x673,x671),f45(x673,x672))
% 0.61/1.01 [68]~E(x681,x682)+E(f49(x681,x683,x684,x685),f49(x682,x683,x684,x685))
% 0.61/1.01 [69]~E(x691,x692)+E(f49(x693,x691,x694,x695),f49(x693,x692,x694,x695))
% 0.61/1.01 [70]~E(x701,x702)+E(f49(x703,x704,x701,x705),f49(x703,x704,x702,x705))
% 0.61/1.01 [71]~E(x711,x712)+E(f49(x713,x714,x715,x711),f49(x713,x714,x715,x712))
% 0.61/1.01 [72]~E(x721,x722)+E(f11(x721,x723),f11(x722,x723))
% 0.61/1.01 [73]~E(x731,x732)+E(f11(x733,x731),f11(x733,x732))
% 0.61/1.01 [74]~E(x741,x742)+E(f46(x741,x743,x744,x745),f46(x742,x743,x744,x745))
% 0.61/1.01 [75]~E(x751,x752)+E(f46(x753,x751,x754,x755),f46(x753,x752,x754,x755))
% 0.61/1.01 [76]~E(x761,x762)+E(f46(x763,x764,x761,x765),f46(x763,x764,x762,x765))
% 0.61/1.01 [77]~E(x771,x772)+E(f46(x773,x774,x775,x771),f46(x773,x774,x775,x772))
% 0.61/1.01 [78]~E(x781,x782)+E(f40(x781,x783,x784,x785,x786),f40(x782,x783,x784,x785,x786))
% 0.61/1.01 [79]~E(x791,x792)+E(f40(x793,x791,x794,x795,x796),f40(x793,x792,x794,x795,x796))
% 0.61/1.01 [80]~E(x801,x802)+E(f40(x803,x804,x801,x805,x806),f40(x803,x804,x802,x805,x806))
% 0.61/1.01 [81]~E(x811,x812)+E(f40(x813,x814,x815,x811,x816),f40(x813,x814,x815,x812,x816))
% 0.61/1.01 [82]~E(x821,x822)+E(f40(x823,x824,x825,x826,x821),f40(x823,x824,x825,x826,x822))
% 0.61/1.01 [83]~P1(x831)+P1(x832)+~E(x831,x832)
% 0.61/1.01 [84]P2(x842,x843,x844)+~E(x841,x842)+~P2(x841,x843,x844)
% 0.61/1.01 [85]P2(x853,x852,x854)+~E(x851,x852)+~P2(x853,x851,x854)
% 0.61/1.01 [86]P2(x863,x864,x862)+~E(x861,x862)+~P2(x863,x864,x861)
% 0.61/1.01
% 0.61/1.01 %-------------------------------------------
% 0.61/1.01 cnf(196,plain,
% 0.61/1.01 (E(f5(x1961,x1962),f5(x1961,f3(f5(f53(x1961,x1961),a6),f5(x1961,x1962))))),
% 0.61/1.01 inference(scs_inference,[],[90,2])).
% 0.61/1.01 cnf(214,plain,
% 0.61/1.01 (E(f5(x2141,f3(f5(f53(x2141,x2141),a6),f5(x2141,x2142))),f5(x2141,x2142))),
% 0.61/1.01 inference(rename_variables,[],[90])).
% 0.61/1.01 cnf(216,plain,
% 0.61/1.01 (E(f5(x2161,f3(f5(f53(x2161,x2161),a6),f5(x2161,x2162))),f5(x2161,x2162))),
% 0.61/1.01 inference(rename_variables,[],[90])).
% 0.61/1.01 cnf(224,plain,
% 0.61/1.01 (E(f5(x2241,f3(f5(f53(x2241,x2241),a6),f5(x2241,x2242))),f5(x2241,x2242))),
% 0.61/1.01 inference(rename_variables,[],[90])).
% 0.61/1.01 cnf(227,plain,
% 0.61/1.01 (E(f5(x2271,f3(f5(f53(x2271,x2271),a6),f5(x2271,x2272))),f5(x2271,x2272))),
% 0.61/1.01 inference(rename_variables,[],[90])).
% 0.61/1.01 cnf(368,plain,
% 0.61/1.01 (~P1(f5(a1,f3(f5(f53(a34,a1),a42),f5(a34,f3(f5(f53(a33,a34),a41),f5(a33,x3681))))))),
% 0.61/1.01 inference(scs_inference,[],[91,89,103,104,90,214,216,224,227,2,121,115,113,109,122,116,114,110,83,3,133,130,128,137,131,148,147,139,136,146,143,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,183,182,175,174,173,172,162,158,157,156,153,152,151,150,149,138,164,163,167,166,160,154,186,177,179])).
% 0.61/1.01 cnf(370,plain,
% 0.61/1.01 (P1(f5(a1,f3(f5(f53(a34,a1),a43),f5(a34,f3(f5(f53(a33,a34),a41),f5(a33,f51(a33,a34,a41,a43)))))))),
% 0.61/1.01 inference(scs_inference,[],[91,89,103,104,90,214,216,224,227,2,121,115,113,109,122,116,114,110,83,3,133,130,128,137,131,148,147,139,136,146,143,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,183,182,175,174,173,172,162,158,157,156,153,152,151,150,149,138,164,163,167,166,160,154,186,177,179,192])).
% 0.61/1.01 cnf(379,plain,
% 0.61/1.01 (~P1(f5(a1,f3(f5(f53(a1,a1),f3(f5(f53(a1,f53(a1,a1)),a17),f5(a1,a4))),f5(a1,a4))))),
% 0.61/1.01 inference(scs_inference,[],[91,89,103,104,90,214,216,224,227,2,121,115,113,109,122,116,114,110,83,3,133,130,128,137,131,148,147,139,136,146,143,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,183,182,175,174,173,172,162,158,157,156,153,152,151,150,149,138,164,163,167,166,160,154,186,177,179,192,86,85,84,125,185,184])).
% 0.61/1.01 cnf(408,plain,
% 0.61/1.01 (E(f5(x4081,x4082),f5(x4081,f3(f5(f53(x4081,x4081),a6),f5(x4081,x4082))))),
% 0.61/1.01 inference(rename_variables,[],[196])).
% 0.61/1.01 cnf(415,plain,
% 0.61/1.01 ($false),
% 0.61/1.01 inference(scs_inference,[],[196,408,379,370,368,169,168,190,165]),
% 0.61/1.01 ['proof']).
% 0.61/1.01 % SZS output end Proof
% 0.61/1.01 % Total time :0.300000s
%------------------------------------------------------------------------------