TSTP Solution File: SEU444+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 16:20:14 EDT 2023
% Result : Theorem 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.18/0.34 % Computer : n010.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Thu Aug 24 00:09:05 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.040000s
% 0.20/0.66 % Output :CNFRefutation 0.040000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 % File : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.20/0.67 % Domain : Set Theory
% 0.20/0.67 % Problem : First and Second Order Cutting of Binary Relations T56
% 0.20/0.67 % Version : [Urb08] axioms : Especial.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [Ret05] Retel (2005), Properties of First and Second Order Cut
% 0.20/0.67 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.20/0.67 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.20/0.67 % Source : [Urb08]
% 0.20/0.67 % Names : t56_relset_2 [Urb08]
% 0.20/0.67
% 0.20/0.67 % Status : Theorem
% 0.20/0.67 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.3.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.19 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.0, 0.38 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0
% 0.20/0.67 % Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% 0.20/0.67 % Number of atoms : 86 ( 10 equ)
% 0.20/0.67 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.67 % Number of connectives : 53 ( 12 ~; 1 |; 18 &)
% 0.20/0.67 % ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% 0.20/0.67 % Maximal formula depth : 7 ( 4 avg)
% 0.20/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.67 % Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% 0.20/0.67 % Number of functors : 9 ( 9 usr; 1 con; 0-4 aty)
% 0.20/0.67 % Number of variables : 77 ( 69 !; 8 ?)
% 0.20/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.67
% 0.20/0.67 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.20/0.67 % other articles) and background that are possibly necessary.
% 0.20/0.67 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.20/0.67 % : The problem encoding is based on set theory.
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 fof(t56_relset_2,conjecture,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m2_relset_1(C,B,A)
% 0.20/0.67 => ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
% 0.20/0.67 & k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rc3_relat_1,axiom,
% 0.20/0.67 ? [A] :
% 0.20/0.67 ( v1_relat_1(A)
% 0.20/0.67 & v3_relat_1(A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( r2_hidden(A,B)
% 0.20/0.67 => ~ r2_hidden(B,A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k1_xboole_0,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(fc12_relat_1,axiom,
% 0.20/0.67 ( v1_xboole_0(k1_xboole_0)
% 0.20/0.67 & v1_relat_1(k1_xboole_0)
% 0.20/0.67 & v3_relat_1(k1_xboole_0) ) ).
% 0.20/0.67
% 0.20/0.67 fof(fc4_relat_1,axiom,
% 0.20/0.67 ( v1_xboole_0(k1_xboole_0)
% 0.20/0.67 & v1_relat_1(k1_xboole_0) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t1_subset,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( r2_hidden(A,B)
% 0.20/0.67 => m1_subset_1(A,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t4_subset,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( r2_hidden(A,B)
% 0.20/0.67 & m1_subset_1(B,k1_zfmisc_1(C)) )
% 0.20/0.67 => m1_subset_1(A,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t5_subset,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ~ ( r2_hidden(A,B)
% 0.20/0.67 & m1_subset_1(B,k1_zfmisc_1(C))
% 0.20/0.67 & v1_xboole_0(C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(reflexivity_r1_tarski,axiom,
% 0.20/0.67 ! [A,B] : r1_tarski(A,A) ).
% 0.20/0.67
% 0.20/0.67 fof(cc1_relat_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( v1_xboole_0(A)
% 0.20/0.67 => v1_relat_1(A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(fc11_relat_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( v1_xboole_0(A)
% 0.20/0.67 => ( v1_xboole_0(k4_relat_1(A))
% 0.20/0.67 & v1_relat_1(k4_relat_1(A)) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(fc4_subset_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( ~ v1_xboole_0(A)
% 0.20/0.67 & ~ v1_xboole_0(B) )
% 0.20/0.67 => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rc1_relat_1,axiom,
% 0.20/0.67 ? [A] :
% 0.20/0.67 ( v1_xboole_0(A)
% 0.20/0.67 & v1_relat_1(A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rc1_subset_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( ~ v1_xboole_0(A)
% 0.20/0.67 => ? [B] :
% 0.20/0.67 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.20/0.67 & ~ v1_xboole_0(B) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rc2_relat_1,axiom,
% 0.20/0.67 ? [A] :
% 0.20/0.67 ( ~ v1_xboole_0(A)
% 0.20/0.67 & v1_relat_1(A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rc2_subset_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ? [B] :
% 0.20/0.67 ( m1_subset_1(B,k1_zfmisc_1(A))
% 0.20/0.67 & v1_xboole_0(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t2_subset,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( m1_subset_1(A,B)
% 0.20/0.67 => ( v1_xboole_0(B)
% 0.20/0.67 | r2_hidden(A,B) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t6_boole,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( v1_xboole_0(A)
% 0.20/0.67 => A = k1_xboole_0 ) ).
% 0.20/0.67
% 0.20/0.67 fof(t7_boole,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ~ ( r2_hidden(A,B)
% 0.20/0.67 & v1_xboole_0(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t8_boole,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ~ ( v1_xboole_0(A)
% 0.20/0.67 & A != B
% 0.20/0.67 & v1_xboole_0(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(involutiveness_k4_relat_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( v1_relat_1(A)
% 0.20/0.67 => k4_relat_1(k4_relat_1(A)) = A ) ).
% 0.20/0.67
% 0.20/0.67 fof(existence_m1_relset_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ? [C] : m1_relset_1(C,A,B) ).
% 0.20/0.67
% 0.20/0.67 fof(existence_m1_subset_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ? [B] : m1_subset_1(B,A) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k1_zfmisc_1,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k2_zfmisc_1,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k4_relat_1,axiom,
% 0.20/0.67 ! [A] :
% 0.20/0.67 ( v1_relat_1(A)
% 0.20/0.67 => v1_relat_1(k4_relat_1(A)) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k9_relat_1,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_m1_relset_1,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_m1_subset_1,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(cc1_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
% 0.20/0.67 => v1_relat_1(C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(fc1_subset_1,axiom,
% 0.20/0.67 ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ).
% 0.20/0.67
% 0.20/0.67 fof(fc1_sysrel,axiom,
% 0.20/0.67 ! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)) ).
% 0.20/0.67
% 0.20/0.67 fof(t3_subset,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( m1_subset_1(A,k1_zfmisc_1(B))
% 0.20/0.67 <=> r1_tarski(A,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(involutiveness_k6_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m1_relset_1(C,A,B)
% 0.20/0.67 => k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ) ).
% 0.20/0.67
% 0.20/0.67 fof(existence_m2_relset_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ? [C] : m2_relset_1(C,A,B) ).
% 0.20/0.67
% 0.20/0.67 fof(redefinition_k10_relset_1,axiom,
% 0.20/0.67 ! [A,B,C,D] :
% 0.20/0.67 ( m1_relset_1(C,A,B)
% 0.20/0.67 => k10_relset_1(A,B,C,D) = k9_relat_1(C,D) ) ).
% 0.20/0.67
% 0.20/0.67 fof(redefinition_k6_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m1_relset_1(C,A,B)
% 0.20/0.67 => k6_relset_1(A,B,C) = k4_relat_1(C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(redefinition_m2_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m2_relset_1(C,A,B)
% 0.20/0.67 <=> m1_relset_1(C,A,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k10_relset_1,axiom,
% 0.20/0.67 ! [A,B,C,D] :
% 0.20/0.67 ( m1_relset_1(C,A,B)
% 0.20/0.67 => m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k1_funct_5,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k2_funct_5,axiom,
% 0.20/0.67 $true ).
% 0.20/0.67
% 0.20/0.67 fof(dt_k6_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m1_relset_1(C,A,B)
% 0.20/0.67 => m2_relset_1(k6_relset_1(A,B,C),B,A) ) ).
% 0.20/0.67
% 0.20/0.67 fof(dt_m2_relset_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m2_relset_1(C,A,B)
% 0.20/0.67 => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ).
% 0.20/0.67
% 0.20/0.67 fof(t51_relset_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( m2_relset_1(C,B,A)
% 0.20/0.67 => ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
% 0.20/0.67 & k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ) ).
% 0.20/0.67
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:90(EqnAxiom:40)
% 0.20/0.67 %VarNum:160(SingletonVarNum:76)
% 0.20/0.67 %MaxLitNum:3
% 0.20/0.67 %MaxfuncDepth:2
% 0.20/0.67 %SharedTerms:26
% 0.20/0.67 %goalClause: 56 90
% 0.20/0.67 %singleGoalClaCount:1
% 0.20/0.67 [42]P1(a1)
% 0.20/0.67 [43]P1(a2)
% 0.20/0.67 [44]P1(a8)
% 0.20/0.67 [45]P1(a9)
% 0.20/0.67 [46]P7(a1)
% 0.20/0.67 [47]P7(a2)
% 0.20/0.67 [49]P8(a1)
% 0.20/0.67 [50]P8(a8)
% 0.20/0.67 [56]P5(a4,a5,a6)
% 0.20/0.67 [59]~P8(a9)
% 0.20/0.67 [52]P2(x521,x521)
% 0.20/0.67 [51]P8(f11(x511))
% 0.20/0.67 [53]P3(f3(x531),x531)
% 0.20/0.67 [54]P3(f11(x541),f15(x541))
% 0.20/0.67 [60]~P8(f15(x601))
% 0.20/0.67 [55]P1(f16(x551,x552))
% 0.20/0.67 [57]P5(f7(x571,x572),x571,x572)
% 0.20/0.67 [58]P4(f12(x581,x582),x581,x582)
% 0.20/0.67 [90]~E(f13(a6,a5,f19(a5,a6,a4),f13(a5,a6,a4,a5)),f13(a6,a5,f19(a5,a6,a4),f17(a4)))+~E(f13(a6,a5,f19(a5,a6,a4),a6),f14(a4))
% 0.20/0.67 [61]~P8(x611)+E(x611,a1)
% 0.20/0.67 [62]~P8(x621)+P1(x621)
% 0.20/0.67 [64]~P1(x641)+P1(f18(x641))
% 0.20/0.67 [65]~P8(x651)+P1(f18(x651))
% 0.20/0.67 [66]~P8(x661)+P8(f18(x661))
% 0.20/0.67 [68]P8(x681)+~P8(f10(x681))
% 0.20/0.67 [70]P8(x701)+P3(f10(x701),f15(x701))
% 0.20/0.67 [67]~P1(x671)+E(f18(f18(x671)),x671)
% 0.20/0.67 [69]~P8(x691)+~P6(x692,x691)
% 0.20/0.67 [71]~P6(x711,x712)+P3(x711,x712)
% 0.20/0.67 [74]~P6(x742,x741)+~P6(x741,x742)
% 0.20/0.67 [73]~P2(x731,x732)+P3(x731,f15(x732))
% 0.20/0.67 [75]P2(x751,x752)+~P3(x751,f15(x752))
% 0.20/0.67 [80]~P4(x801,x802,x803)+P5(x801,x802,x803)
% 0.20/0.67 [81]~P5(x811,x812,x813)+P4(x811,x812,x813)
% 0.20/0.67 [82]~P4(x823,x821,x822)+E(f19(x821,x822,x823),f18(x823))
% 0.20/0.67 [84]~P4(x843,x841,x842)+P5(f19(x841,x842,x843),x842,x841)
% 0.20/0.67 [86]~P5(x863,x861,x862)+E(f13(x861,x862,x863,x861),f17(x863))
% 0.20/0.67 [79]P1(x791)+~P3(x791,f15(f16(x792,x793)))
% 0.20/0.67 [83]~P5(x831,x832,x833)+P3(x831,f15(f16(x832,x833)))
% 0.20/0.67 [85]~P4(x853,x851,x852)+E(f19(x851,x852,f19(x851,x852,x853)),x853)
% 0.20/0.67 [88]~P5(x883,x882,x881)+E(f13(x881,x882,f19(x882,x881,x883),x881),f14(x883))
% 0.20/0.67 [87]~P4(x873,x871,x872)+E(f13(x871,x872,x873,x874),f20(x873,x874))
% 0.20/0.67 [89]~P4(x893,x891,x892)+P3(f13(x891,x892,x893,x894),f15(x892))
% 0.20/0.67 [63]~P8(x632)+~P8(x631)+E(x631,x632)
% 0.20/0.67 [72]~P3(x722,x721)+P8(x721)+P6(x722,x721)
% 0.20/0.67 [76]P8(x761)+P8(x762)+~P8(f16(x762,x761))
% 0.20/0.67 [77]~P8(x771)+~P6(x772,x773)+~P3(x773,f15(x771))
% 0.20/0.67 [78]P3(x781,x782)+~P6(x781,x783)+~P3(x783,f15(x782))
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.20/0.67 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.20/0.67 [6]~E(x61,x62)+E(f13(x61,x63,x64,x65),f13(x62,x63,x64,x65))
% 0.20/0.67 [7]~E(x71,x72)+E(f13(x73,x71,x74,x75),f13(x73,x72,x74,x75))
% 0.20/0.67 [8]~E(x81,x82)+E(f13(x83,x84,x81,x85),f13(x83,x84,x82,x85))
% 0.20/0.67 [9]~E(x91,x92)+E(f13(x93,x94,x95,x91),f13(x93,x94,x95,x92))
% 0.20/0.67 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 0.20/0.67 [11]~E(x111,x112)+E(f16(x111,x113),f16(x112,x113))
% 0.20/0.67 [12]~E(x121,x122)+E(f16(x123,x121),f16(x123,x122))
% 0.20/0.67 [13]~E(x131,x132)+E(f7(x131,x133),f7(x132,x133))
% 0.20/0.67 [14]~E(x141,x142)+E(f7(x143,x141),f7(x143,x142))
% 0.20/0.67 [15]~E(x151,x152)+E(f12(x151,x153),f12(x152,x153))
% 0.20/0.67 [16]~E(x161,x162)+E(f12(x163,x161),f12(x163,x162))
% 0.20/0.67 [17]~E(x171,x172)+E(f19(x171,x173,x174),f19(x172,x173,x174))
% 0.20/0.67 [18]~E(x181,x182)+E(f19(x183,x181,x184),f19(x183,x182,x184))
% 0.20/0.67 [19]~E(x191,x192)+E(f19(x193,x194,x191),f19(x193,x194,x192))
% 0.20/0.67 [20]~E(x201,x202)+E(f18(x201),f18(x202))
% 0.20/0.67 [21]~E(x211,x212)+E(f20(x211,x213),f20(x212,x213))
% 0.20/0.67 [22]~E(x221,x222)+E(f20(x223,x221),f20(x223,x222))
% 0.20/0.67 [23]~E(x231,x232)+E(f17(x231),f17(x232))
% 0.20/0.67 [24]~E(x241,x242)+E(f14(x241),f14(x242))
% 0.20/0.67 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 0.20/0.67 [26]~P1(x261)+P1(x262)+~E(x261,x262)
% 0.20/0.67 [27]P4(x272,x273,x274)+~E(x271,x272)+~P4(x271,x273,x274)
% 0.20/0.67 [28]P4(x283,x282,x284)+~E(x281,x282)+~P4(x283,x281,x284)
% 0.20/0.67 [29]P4(x293,x294,x292)+~E(x291,x292)+~P4(x293,x294,x291)
% 0.20/0.67 [30]P3(x302,x303)+~E(x301,x302)+~P3(x301,x303)
% 0.20/0.67 [31]P3(x313,x312)+~E(x311,x312)+~P3(x313,x311)
% 0.20/0.67 [32]P5(x322,x323,x324)+~E(x321,x322)+~P5(x321,x323,x324)
% 0.20/0.67 [33]P5(x333,x332,x334)+~E(x331,x332)+~P5(x333,x331,x334)
% 0.20/0.68 [34]P5(x343,x344,x342)+~E(x341,x342)+~P5(x343,x344,x341)
% 0.20/0.68 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 0.20/0.68 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 0.20/0.68 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 0.20/0.68 [38]P6(x382,x383)+~E(x381,x382)+~P6(x381,x383)
% 0.20/0.68 [39]P6(x393,x392)+~E(x391,x392)+~P6(x393,x391)
% 0.20/0.68 [40]~P8(x401)+P8(x402)+~E(x401,x402)
% 0.20/0.68
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 cnf(91,plain,
% 0.20/0.68 (~P6(x911,a1)),
% 0.20/0.68 inference(scs_inference,[],[49,69])).
% 0.20/0.68 cnf(93,plain,
% 0.20/0.68 (P3(f3(x931),x931)),
% 0.20/0.68 inference(rename_variables,[],[53])).
% 0.20/0.68 cnf(96,plain,
% 0.20/0.68 (P3(f3(x961),x961)),
% 0.20/0.68 inference(rename_variables,[],[53])).
% 0.20/0.68 cnf(98,plain,
% 0.20/0.68 (P6(f3(a9),a9)),
% 0.20/0.68 inference(scs_inference,[],[49,59,53,93,96,69,79,75,72])).
% 0.20/0.68 cnf(99,plain,
% 0.20/0.68 (P3(f3(x991),x991)),
% 0.20/0.68 inference(rename_variables,[],[53])).
% 0.20/0.68 cnf(101,plain,
% 0.20/0.68 (~P6(x1011,f3(f15(a1)))),
% 0.20/0.68 inference(scs_inference,[],[49,59,53,93,96,99,69,79,75,72,77])).
% 0.20/0.68 cnf(118,plain,
% 0.20/0.68 (E(f18(f18(a1)),a1)),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67])).
% 0.20/0.68 cnf(133,plain,
% 0.20/0.68 (E(f19(x1331,a8,x1332),f19(x1331,a1,x1332))),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18])).
% 0.20/0.68 cnf(160,plain,
% 0.20/0.68 (E(f13(a5,a6,a4,a5),f17(a4))),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,83,70,84,89,87,82,86])).
% 0.20/0.68 cnf(162,plain,
% 0.20/0.68 (E(f19(x1621,x1622,f19(x1621,x1622,f12(x1621,x1622))),f12(x1621,x1622))),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,83,70,84,89,87,82,86,85])).
% 0.20/0.68 cnf(166,plain,
% 0.20/0.68 (~E(a1,a9)),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,83,70,84,89,87,82,86,85,88,40])).
% 0.20/0.68 cnf(171,plain,
% 0.20/0.68 (E(a1,a8)),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,83,70,84,89,87,82,86,85,88,40,39,38,76,2])).
% 0.20/0.68 cnf(172,plain,
% 0.20/0.68 (~E(f13(a6,a5,f19(a5,a6,a4),f13(a5,a6,a4,a5)),f13(a6,a5,f19(a5,a6,a4),f17(a4)))),
% 0.20/0.68 inference(scs_inference,[],[56,52,42,43,49,50,59,58,53,93,96,99,51,69,79,75,72,77,81,80,74,62,61,73,68,67,66,65,64,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,83,70,84,89,87,82,86,85,88,40,39,38,76,2,90])).
% 0.20/0.68 cnf(213,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[46,60,54,53,50,52,162,101,133,160,91,166,118,98,171,172,37,77,76,2,73,39,36,3,72,78,9]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.040000s
%------------------------------------------------------------------------------