TSTP Solution File: MSC010+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 09:20:43 EDT 2023
% Result : Theorem 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n006.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 13:41:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.010000s
% 0.21/0.67 % Output :CNFRefutation 0.010000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 % File : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.21/0.68 % Domain : Miscellaneous
% 0.21/0.68 % Problem : Simple, but hard, obligation from proof verification
% 0.21/0.68 % Version : Especial.
% 0.21/0.68 % English : Verification of the negation of a conjecture, which is simply to
% 0.21/0.68 % prove the double negated version of a formula from the formula.
% 0.21/0.68
% 0.21/0.68 % Refs :
% 0.21/0.68 % Source : [TPTP]
% 0.21/0.68 % Names :
% 0.21/0.68
% 0.21/0.68 % Status : Theorem
% 0.21/0.68 % Rating : 0.22 v7.4.0, 0.23 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.22 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.38 v5.0.0, 0.42 v4.1.0, 0.48 v4.0.0, 0.50 v3.7.0, 0.45 v3.5.0, 0.47 v3.4.0, 0.58 v3.3.0, 0.57 v3.2.0, 0.82 v3.1.0
% 0.21/0.68 % Syntax : Number of formulae : 2 ( 0 unt; 0 def)
% 0.21/0.68 % Number of atoms : 136 ( 30 equ)
% 0.21/0.68 % Maximal formula atoms : 68 ( 68 avg)
% 0.21/0.68 % Number of connectives : 140 ( 6 ~; 0 |; 102 &)
% 0.21/0.68 % ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% 0.21/0.68 % Maximal formula depth : 26 ( 25 avg)
% 0.21/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.68 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 0.21/0.68 % Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% 0.21/0.68 % Number of variables : 44 ( 44 !; 0 ?)
% 0.21/0.68 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.68
% 0.21/0.68 % Comments :
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 fof(n1,axiom,
% 0.21/0.68 ( ( pv63 != pv64
% 0.21/0.68 & leq(n0,pv5)
% 0.21/0.68 & leq(n0,pv63)
% 0.21/0.68 & leq(n0,pv64)
% 0.21/0.68 & leq(pv5,n998)
% 0.21/0.68 & leq(pv63,n5)
% 0.21/0.68 & leq(pv64,n5)
% 0.21/0.68 & ! [X1,X2] :
% 0.21/0.68 ( ( leq(n0,X1)
% 0.21/0.68 & leq(n0,X2)
% 0.21/0.68 & leq(X1,n2)
% 0.21/0.68 & leq(X2,n5) )
% 0.21/0.68 => a_select3(h_ds1_filter_init,X1,X2) = init )
% 0.21/0.68 & ! [X3,X4] :
% 0.21/0.68 ( ( leq(n0,X3)
% 0.21/0.68 & leq(n0,X4)
% 0.21/0.68 & leq(X3,n5)
% 0.21/0.68 & leq(X4,n5) )
% 0.21/0.68 => a_select3(phi_ds1_filter_init,X3,X4) = init )
% 0.21/0.68 & ! [X5,X6] :
% 0.21/0.68 ( ( leq(n0,X5)
% 0.21/0.68 & leq(n0,X6)
% 0.21/0.68 & leq(X5,n5)
% 0.21/0.68 & leq(X6,n0) )
% 0.21/0.68 => a_select3(dv_ds1_filter_init,X5,X6) = init )
% 0.21/0.68 & ! [X7,X8] :
% 0.21/0.68 ( ( leq(n0,X7)
% 0.21/0.68 & leq(n0,X8)
% 0.21/0.68 & leq(X7,n5)
% 0.21/0.68 & leq(X8,n5) )
% 0.21/0.68 => a_select3(q_ds1_filter_init,X7,X8) = init )
% 0.21/0.68 & ! [X9,X10] :
% 0.21/0.68 ( ( leq(n0,X9)
% 0.21/0.68 & leq(n0,X10)
% 0.21/0.68 & leq(X9,n2)
% 0.21/0.68 & leq(X10,n2) )
% 0.21/0.68 => a_select3(r_ds1_filter_init,X9,X10) = init )
% 0.21/0.68 & ! [X11,X12] :
% 0.21/0.68 ( ( leq(n0,X11)
% 0.21/0.68 & leq(n0,X12)
% 0.21/0.68 & leq(X11,n5)
% 0.21/0.68 & leq(X12,n0) )
% 0.21/0.68 => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
% 0.21/0.68 & ! [X13,X14] :
% 0.21/0.68 ( ( leq(n0,X13)
% 0.21/0.68 & leq(n0,X14)
% 0.21/0.68 & leq(X13,n5)
% 0.21/0.68 & leq(X14,n5) )
% 0.21/0.68 => a_select3(pminus_ds1_filter_init,X13,X14) = init )
% 0.21/0.68 & ! [X15,X16] :
% 0.21/0.68 ( ( leq(n0,X15)
% 0.21/0.68 & leq(n0,X16)
% 0.21/0.68 & leq(X15,n5)
% 0.21/0.68 & leq(X16,n5) )
% 0.21/0.68 => ( ( X15 = pv63
% 0.21/0.68 & gt(pv64,X16) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X15,X16) = init ) )
% 0.21/0.68 & ! [X17,X18] :
% 0.21/0.68 ( ( leq(n0,X17)
% 0.21/0.68 & leq(n0,X18)
% 0.21/0.68 & leq(X17,n5)
% 0.21/0.68 & leq(X18,n5) )
% 0.21/0.68 => ( gt(pv63,X17)
% 0.21/0.68 => a_select3(id_ds1_filter_init,X17,X18) = init ) )
% 0.21/0.68 & ! [X19] :
% 0.21/0.68 ( ( leq(n0,X19)
% 0.21/0.68 & leq(X19,pred(pv63)) )
% 0.21/0.68 => ! [X20] :
% 0.21/0.68 ( ( leq(n0,X20)
% 0.21/0.68 & leq(X20,n5) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
% 0.21/0.68 => ! [X21,X22] :
% 0.21/0.68 ( ( leq(n0,X21)
% 0.21/0.68 & leq(n0,X22)
% 0.21/0.68 & leq(X21,n5)
% 0.21/0.68 & leq(X22,n5) )
% 0.21/0.68 => ( ( pv64 != X22
% 0.21/0.68 & X21 = pv63
% 0.21/0.68 & leq(X22,pv64) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ) ).
% 0.21/0.68
% 0.21/0.68 fof(n91,conjecture,
% 0.21/0.68 ~ ~ ( ( pv63 != pv64
% 0.21/0.68 & leq(n0,pv5)
% 0.21/0.68 & leq(n0,pv63)
% 0.21/0.68 & leq(n0,pv64)
% 0.21/0.68 & leq(pv5,n998)
% 0.21/0.68 & leq(pv63,n5)
% 0.21/0.68 & leq(pv64,n5)
% 0.21/0.68 & ! [X1,X2] :
% 0.21/0.68 ( ( leq(n0,X1)
% 0.21/0.68 & leq(n0,X2)
% 0.21/0.68 & leq(X1,n2)
% 0.21/0.68 & leq(X2,n5) )
% 0.21/0.68 => a_select3(h_ds1_filter_init,X1,X2) = init )
% 0.21/0.68 & ! [X3,X4] :
% 0.21/0.68 ( ( leq(n0,X3)
% 0.21/0.68 & leq(n0,X4)
% 0.21/0.68 & leq(X3,n5)
% 0.21/0.68 & leq(X4,n5) )
% 0.21/0.68 => a_select3(phi_ds1_filter_init,X3,X4) = init )
% 0.21/0.68 & ! [X5,X6] :
% 0.21/0.68 ( ( leq(n0,X5)
% 0.21/0.68 & leq(n0,X6)
% 0.21/0.68 & leq(X5,n5)
% 0.21/0.68 & leq(X6,n0) )
% 0.21/0.68 => a_select3(dv_ds1_filter_init,X5,X6) = init )
% 0.21/0.68 & ! [X7,X8] :
% 0.21/0.68 ( ( leq(n0,X7)
% 0.21/0.68 & leq(n0,X8)
% 0.21/0.68 & leq(X7,n5)
% 0.21/0.68 & leq(X8,n5) )
% 0.21/0.68 => a_select3(q_ds1_filter_init,X7,X8) = init )
% 0.21/0.68 & ! [X9,X10] :
% 0.21/0.68 ( ( leq(n0,X9)
% 0.21/0.68 & leq(n0,X10)
% 0.21/0.68 & leq(X9,n2)
% 0.21/0.68 & leq(X10,n2) )
% 0.21/0.68 => a_select3(r_ds1_filter_init,X9,X10) = init )
% 0.21/0.68 & ! [X11,X12] :
% 0.21/0.68 ( ( leq(n0,X11)
% 0.21/0.68 & leq(n0,X12)
% 0.21/0.68 & leq(X11,n5)
% 0.21/0.68 & leq(X12,n0) )
% 0.21/0.68 => a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
% 0.21/0.68 & ! [X13,X14] :
% 0.21/0.68 ( ( leq(n0,X13)
% 0.21/0.68 & leq(n0,X14)
% 0.21/0.68 & leq(X13,n5)
% 0.21/0.68 & leq(X14,n5) )
% 0.21/0.68 => a_select3(pminus_ds1_filter_init,X13,X14) = init )
% 0.21/0.68 & ! [X15,X16] :
% 0.21/0.68 ( ( leq(n0,X15)
% 0.21/0.68 & leq(n0,X16)
% 0.21/0.68 & leq(X15,n5)
% 0.21/0.68 & leq(X16,n5) )
% 0.21/0.68 => ( ( X15 = pv63
% 0.21/0.68 & gt(pv64,X16) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X15,X16) = init ) )
% 0.21/0.68 & ! [X17,X18] :
% 0.21/0.68 ( ( leq(n0,X17)
% 0.21/0.68 & leq(n0,X18)
% 0.21/0.68 & leq(X17,n5)
% 0.21/0.68 & leq(X18,n5) )
% 0.21/0.68 => ( gt(pv63,X17)
% 0.21/0.68 => a_select3(id_ds1_filter_init,X17,X18) = init ) )
% 0.21/0.68 & ! [X19] :
% 0.21/0.68 ( ( leq(n0,X19)
% 0.21/0.68 & leq(X19,pred(pv63)) )
% 0.21/0.68 => ! [X20] :
% 0.21/0.68 ( ( leq(n0,X20)
% 0.21/0.68 & leq(X20,n5) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
% 0.21/0.68 => ! [X21,X22] :
% 0.21/0.68 ( ( leq(n0,X21)
% 0.21/0.68 & leq(n0,X22)
% 0.21/0.68 & leq(X21,n5)
% 0.21/0.68 & leq(X22,n5) )
% 0.21/0.68 => ( ( pv64 != X22
% 0.21/0.68 & X21 = pv63
% 0.21/0.68 & leq(X22,pv64) )
% 0.21/0.68 => a_select3(id_ds1_filter_init,X21,X22) = init ) ) ) ).
% 0.21/0.68
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.69 %ClaNum:187(EqnAxiom:16)
% 0.21/0.69 %VarNum:72(SingletonVarNum:22)
% 0.21/0.69 %MaxLitNum:10
% 0.21/0.69 %MaxfuncDepth:1
% 0.21/0.69 %SharedTerms:136
% 0.21/0.69 %goalClause: 17 18 19 20 21 22 23 24 25
% 0.21/0.69 %singleGoalClaCount:9
% 0.21/0.69 [17]E(a1,a14)
% 0.21/0.69 [18]P1(a500)
% 0.21/0.69 [19]P6(a15,a1)
% 0.21/0.69 [20]P6(a15,a16)
% 0.21/0.69 [21]P6(a1,a30)
% 0.21/0.69 [22]P6(a16,a37)
% 0.21/0.69 [23]P6(a16,a30)
% 0.21/0.69 [24]~E(a37,a16)
% 0.21/0.69 [25]~E(f2(a20,a1,a16),a29)
% 0.21/0.69 [26]P2(a500)+~P3(a500)
% 0.21/0.69 [27]P3(a500)+~P4(a500)
% 0.21/0.69 [28]P4(a500)+~P5(a500)
% 0.21/0.69 [29]P5(a500)+~P1(a500)
% 0.21/0.69 [30]~E(a37,a14)+~P2(a500)
% 0.21/0.69 [31]P6(a14,a30)+~P2(a500)
% 0.21/0.69 [32]P6(a37,a30)+~P2(a500)
% 0.21/0.69 [33]P6(a15,a14)+~P2(a500)
% 0.21/0.69 [34]P6(a15,a37)+~P2(a500)
% 0.21/0.69 [35]P6(a15,a32)+~P2(a500)
% 0.21/0.69 [36]P6(a32,a33)+~P2(a500)
% 0.21/0.69 [37]E(a3,a14)+P5(a500)+P6(a15,a4)+~P4(a500)
% 0.21/0.69 [38]E(a3,a14)+P5(a500)+P6(a15,a11)+~P4(a500)
% 0.21/0.69 [39]E(a3,a14)+P5(a500)+P6(a4,a30)+~P4(a500)
% 0.21/0.69 [40]E(a3,a14)+P5(a500)+P6(a11,a30)+~P4(a500)
% 0.21/0.69 [41]P3(a500)+P6(a15,a21)+P6(a15,a26)+~P2(a500)
% 0.21/0.69 [42]P6(a15,a21)+P3(a500)+P6(a15,a5)+~P2(a500)
% 0.21/0.69 [43]P6(a15,a21)+P3(a500)+P6(a26,a30)+~P2(a500)
% 0.21/0.69 [44]P6(a15,a21)+P3(a500)+P6(a5,a30)+~P2(a500)
% 0.21/0.69 [45]P6(a15,a26)+P3(a500)+P6(a15,a27)+~P2(a500)
% 0.21/0.69 [46]P6(a15,a27)+P6(a15,a5)+P3(a500)+~P2(a500)
% 0.21/0.69 [47]P6(a15,a27)+P6(a26,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [48]P6(a15,a27)+P6(a5,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [49]P6(a15,a26)+P3(a500)+P6(a21,a30)+~P2(a500)
% 0.21/0.69 [50]P6(a15,a26)+P3(a500)+P6(a27,a15)+~P2(a500)
% 0.21/0.69 [51]P6(a15,a5)+P6(a21,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [52]P6(a15,a5)+P6(a27,a15)+P3(a500)+~P2(a500)
% 0.21/0.69 [53]P6(a21,a30)+P6(a26,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [54]P6(a21,a30)+P6(a5,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [55]P6(a26,a30)+P6(a27,a15)+P3(a500)+~P2(a500)
% 0.21/0.69 [56]P6(a27,a15)+P6(a5,a30)+P3(a500)+~P2(a500)
% 0.21/0.69 [57]P4(a500)+P6(a15,a7)+P6(a15,a8)+~P3(a500)
% 0.21/0.69 [58]P6(a15,a7)+P4(a500)+P6(a15,a10)+~P3(a500)
% 0.21/0.69 [59]P6(a15,a7)+P4(a500)+P6(a8,a30)+~P3(a500)
% 0.21/0.69 [60]P6(a15,a7)+P4(a500)+P6(a10,a15)+~P3(a500)
% 0.21/0.69 [61]P6(a15,a8)+P4(a500)+P6(a15,a9)+~P3(a500)
% 0.21/0.69 [62]P6(a15,a9)+P6(a15,a10)+P4(a500)+~P3(a500)
% 0.21/0.69 [63]P6(a15,a9)+P6(a8,a30)+P4(a500)+~P3(a500)
% 0.21/0.69 [64]P6(a15,a9)+P6(a10,a15)+P4(a500)+~P3(a500)
% 0.21/0.69 [65]P6(a15,a8)+P4(a500)+P6(a7,a31)+~P3(a500)
% 0.21/0.69 [66]P6(a15,a8)+P4(a500)+P6(a9,a31)+~P3(a500)
% 0.21/0.69 [67]P6(a15,a10)+P6(a7,a31)+P4(a500)+~P3(a500)
% 0.21/0.69 [68]P6(a15,a10)+P6(a9,a31)+P4(a500)+~P3(a500)
% 0.21/0.69 [69]P6(a7,a31)+P6(a8,a30)+P4(a500)+~P3(a500)
% 0.21/0.69 [70]P6(a7,a31)+P6(a10,a15)+P4(a500)+~P3(a500)
% 0.21/0.69 [71]P6(a8,a30)+P6(a9,a31)+P4(a500)+~P3(a500)
% 0.21/0.69 [72]P6(a9,a31)+P6(a10,a15)+P4(a500)+~P3(a500)
% 0.21/0.69 [73]P6(a15,a4)+P5(a500)+P6(a15,a3)+~P4(a500)
% 0.21/0.69 [74]P6(a15,a4)+P5(a500)+P6(a15,a12)+~P4(a500)
% 0.21/0.69 [75]P6(a15,a4)+P5(a500)+P6(a3,a30)+~P4(a500)
% 0.21/0.69 [76]P6(a15,a4)+P5(a500)+P6(a12,a30)+~P4(a500)
% 0.21/0.69 [77]P6(a15,a4)+P5(a500)+P7(a37,a12)+~P4(a500)
% 0.21/0.69 [78]P6(a15,a11)+P6(a15,a3)+P5(a500)+~P4(a500)
% 0.21/0.69 [79]P6(a15,a11)+P6(a15,a12)+P5(a500)+~P4(a500)
% 0.21/0.69 [80]P6(a15,a11)+P6(a3,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [81]P6(a15,a11)+P6(a12,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [82]P6(a15,a11)+P7(a37,a12)+P5(a500)+~P4(a500)
% 0.21/0.69 [83]P6(a15,a3)+P6(a4,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [84]P6(a15,a3)+P6(a11,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [85]P6(a15,a12)+P6(a4,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [86]P6(a15,a12)+P6(a11,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [87]P6(a4,a30)+P6(a3,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [88]P6(a4,a30)+P6(a12,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [89]P6(a4,a30)+P7(a37,a12)+P5(a500)+~P4(a500)
% 0.21/0.69 [90]P6(a11,a30)+P6(a3,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [91]P6(a11,a30)+P6(a12,a30)+P5(a500)+~P4(a500)
% 0.21/0.69 [92]P6(a11,a30)+P7(a37,a12)+P5(a500)+~P4(a500)
% 0.21/0.69 [113]E(a3,a14)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [114]P6(a15,a21)+P3(a500)+~P2(a500)+~E(f2(a38,a26,a5),a29)
% 0.21/0.69 [115]P6(a15,a27)+P3(a500)+~P2(a500)+~E(f2(a38,a26,a5),a29)
% 0.21/0.69 [116]P6(a15,a26)+P3(a500)+~P2(a500)+~E(f2(a6,a21,a27),a29)
% 0.21/0.69 [117]P6(a15,a5)+P3(a500)+~P2(a500)+~E(f2(a6,a21,a27),a29)
% 0.21/0.69 [118]P6(a21,a30)+P3(a500)+~P2(a500)+~E(f2(a38,a26,a5),a29)
% 0.21/0.69 [119]P6(a27,a15)+P3(a500)+~P2(a500)+~E(f2(a38,a26,a5),a29)
% 0.21/0.69 [120]P6(a26,a30)+P3(a500)+~P2(a500)+~E(f2(a6,a21,a27),a29)
% 0.21/0.69 [121]P6(a5,a30)+P3(a500)+~P2(a500)+~E(f2(a6,a21,a27),a29)
% 0.21/0.69 [122]P6(a15,a7)+P4(a500)+~P3(a500)+~E(f2(a39,a8,a10),a29)
% 0.21/0.69 [123]P6(a15,a9)+P4(a500)+~P3(a500)+~E(f2(a39,a8,a10),a29)
% 0.21/0.69 [124]P6(a15,a8)+P4(a500)+~P3(a500)+~E(f2(a40,a7,a9),a29)
% 0.21/0.69 [125]P6(a15,a10)+P4(a500)+~P3(a500)+~E(f2(a40,a7,a9),a29)
% 0.21/0.69 [126]P6(a7,a31)+P4(a500)+~P3(a500)+~E(f2(a39,a8,a10),a29)
% 0.21/0.69 [127]P6(a9,a31)+P4(a500)+~P3(a500)+~E(f2(a39,a8,a10),a29)
% 0.21/0.69 [128]P6(a8,a30)+P4(a500)+~P3(a500)+~E(f2(a40,a7,a9),a29)
% 0.21/0.69 [129]P6(a10,a15)+P4(a500)+~P3(a500)+~E(f2(a40,a7,a9),a29)
% 0.21/0.69 [130]P6(a15,a4)+P5(a500)+~P4(a500)+~E(f2(a20,a3,a12),a29)
% 0.21/0.69 [131]P6(a15,a11)+P5(a500)+~P4(a500)+~E(f2(a20,a3,a12),a29)
% 0.21/0.69 [132]P6(a15,a3)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [133]P6(a15,a12)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [134]P6(a4,a30)+P5(a500)+~P4(a500)+~E(f2(a20,a3,a12),a29)
% 0.21/0.69 [135]P6(a11,a30)+P5(a500)+~P4(a500)+~E(f2(a20,a3,a12),a29)
% 0.21/0.69 [136]P6(a3,a30)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [137]P6(a12,a30)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [138]P7(a37,a12)+P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)
% 0.21/0.69 [174]P3(a500)+~P2(a500)+~E(f2(a6,a21,a27),a29)+~E(f2(a38,a26,a5),a29)
% 0.21/0.69 [175]P4(a500)+~P3(a500)+~E(f2(a40,a7,a9),a29)+~E(f2(a39,a8,a10),a29)
% 0.21/0.69 [176]P5(a500)+~P4(a500)+~E(f2(a35,a4,a11),a29)+~E(f2(a20,a3,a12),a29)
% 0.21/0.69 [164]~P6(x1642,a30)+~P6(x1641,a31)+~P6(a15,x1642)+~P6(a15,x1641)+~P2(a500)+E(f2(a28,x1641,x1642),a29)
% 0.21/0.69 [165]~P6(x1652,a30)+~P6(x1651,a30)+~P6(a15,x1652)+~P6(a15,x1651)+~P2(a500)+E(f2(a36,x1651,x1652),a29)
% 0.21/0.69 [166]~P6(x1662,a15)+~P6(x1661,a30)+~P6(a15,x1662)+~P6(a15,x1661)+~P3(a500)+E(f2(a6,x1661,x1662),a29)
% 0.21/0.69 [167]~P6(x1672,a30)+~P6(x1671,a30)+~P6(a15,x1672)+~P6(a15,x1671)+~P3(a500)+E(f2(a38,x1671,x1672),a29)
% 0.21/0.69 [168]~P6(x1682,a31)+~P6(x1681,a31)+~P6(a15,x1682)+~P6(a15,x1681)+~P4(a500)+E(f2(a40,x1681,x1682),a29)
% 0.21/0.69 [169]~P6(x1692,a15)+~P6(x1691,a30)+~P6(a15,x1692)+~P6(a15,x1691)+~P4(a500)+E(f2(a39,x1691,x1692),a29)
% 0.21/0.69 [170]~P6(x1702,a30)+~P6(x1701,a30)+~P6(a15,x1702)+~P6(a15,x1701)+~P5(a500)+E(f2(a35,x1701,x1702),a29)
% 0.21/0.69 [171]~P6(x1712,a30)+~P6(a15,x1712)+~P6(a15,x1711)+~P6(x1711,f34(a14))+~P1(a500)+E(f2(a20,x1711,x1712),a29)
% 0.21/0.69 [172]~P6(x1722,a30)+~P6(x1721,a30)+~P6(a15,x1722)+~P6(a15,x1721)+~P7(a14,x1721)+~P1(a500)+E(f2(a20,x1721,x1722),a29)
% 0.21/0.69 [173]~E(x1731,a14)+~P6(x1732,a30)+~P6(x1731,a30)+~P6(a15,x1732)+~P6(a15,x1731)+~P7(a37,x1732)+~P5(a500)+E(f2(a20,x1731,x1732),a29)
% 0.21/0.69 [178]~E(x1782,a14)+~P6(x1781,a37)+~P6(x1781,a30)+~P6(x1782,a30)+~P6(a15,x1781)+~P6(a15,x1782)+E(a37,x1781)+~P1(a500)+E(f2(a20,x1782,x1781),a29)
% 0.21/0.69 [148]E(a37,a14)+P2(a500)+P6(a15,a22)+P6(a15,a23)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)
% 0.21/0.69 [149]E(a37,a14)+P6(a15,a22)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P2(a500)+P6(a15,a25)
% 0.21/0.69 [150]E(a37,a14)+P6(a15,a22)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P2(a500)+P6(a23,a30)
% 0.21/0.69 [151]E(a37,a14)+P6(a15,a22)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P2(a500)+P6(a25,a30)
% 0.21/0.69 [152]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a23)+P2(a500)+P6(a15,a24)
% 0.21/0.69 [153]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a24)+P6(a15,a25)+P2(a500)
% 0.21/0.69 [154]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a24)+P6(a23,a30)+P2(a500)
% 0.21/0.69 [155]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a24)+P6(a25,a30)+P2(a500)
% 0.21/0.69 [156]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a23)+P2(a500)+P6(a22,a31)
% 0.21/0.69 [157]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a23)+P2(a500)+P6(a24,a30)
% 0.21/0.69 [158]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a25)+P6(a22,a31)+P2(a500)
% 0.21/0.69 [159]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a25)+P6(a24,a30)+P2(a500)
% 0.21/0.69 [160]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a22,a31)+P6(a23,a30)+P2(a500)
% 0.21/0.69 [161]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a22,a31)+P6(a25,a30)+P2(a500)
% 0.21/0.69 [162]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a23,a30)+P6(a24,a30)+P2(a500)
% 0.21/0.69 [163]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a24,a30)+P6(a25,a30)+P2(a500)
% 0.21/0.69 [179]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a22)+P2(a500)+~E(f2(a36,a23,a25),a29)
% 0.21/0.69 [180]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a24)+P2(a500)+~E(f2(a36,a23,a25),a29)
% 0.21/0.69 [181]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a23)+P2(a500)+~E(f2(a28,a22,a24),a29)
% 0.21/0.69 [182]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a15,a25)+P2(a500)+~E(f2(a28,a22,a24),a29)
% 0.21/0.69 [183]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a22,a31)+P2(a500)+~E(f2(a36,a23,a25),a29)
% 0.21/0.69 [184]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a24,a30)+P2(a500)+~E(f2(a36,a23,a25),a29)
% 0.21/0.69 [185]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a23,a30)+P2(a500)+~E(f2(a28,a22,a24),a29)
% 0.21/0.69 [186]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P6(a25,a30)+P2(a500)+~E(f2(a28,a22,a24),a29)
% 0.21/0.69 [187]E(a37,a14)+~P6(a14,a30)+~P6(a37,a30)+~P6(a15,a14)+~P6(a15,a37)+~P6(a15,a32)+~P6(a32,a33)+P2(a500)+~E(f2(a28,a22,a24),a29)+~E(f2(a36,a23,a25),a29)
% 0.21/0.69 %EqnAxiom
% 0.21/0.69 [1]E(x11,x11)
% 0.21/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.69 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44))
% 0.21/0.69 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54))
% 0.21/0.69 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62))
% 0.21/0.69 [7]~E(x71,x72)+E(f34(x71),f34(x72))
% 0.21/0.69 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/0.69 [9]P6(x92,x93)+~E(x91,x92)+~P6(x91,x93)
% 0.21/0.69 [10]P6(x103,x102)+~E(x101,x102)+~P6(x103,x101)
% 0.21/0.69 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.21/0.69 [12]~P5(x121)+P5(x122)+~E(x121,x122)
% 0.21/0.69 [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.21/0.69 [14]~P3(x141)+P3(x142)+~E(x141,x142)
% 0.21/0.69 [15]P7(x152,x153)+~E(x151,x152)+~P7(x151,x153)
% 0.21/0.69 [16]P7(x163,x162)+~E(x161,x162)+~P7(x163,x161)
% 0.21/0.69
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 cnf(188,plain,
% 0.21/0.69 ($false),
% 0.21/0.69 inference(scs_inference,[],[17,22,23,21,20,19,24,18,25,178]),
% 0.21/0.69 ['proof']).
% 0.21/0.69 % SZS output end Proof
% 0.21/0.69 % Total time :0.010000s
%------------------------------------------------------------------------------