TSTP Solution File: NUM383+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 10:21:53 EDT 2023
% Result : Theorem 0.17s 0.64s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Aug 25 14:10:47 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.54 start to proof:theBenchmark
% 0.17/0.63 %-------------------------------------------
% 0.17/0.63 % File :CSE---1.6
% 0.17/0.63 % Problem :theBenchmark
% 0.17/0.63 % Transform :cnf
% 0.17/0.63 % Format :tptp:raw
% 0.17/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.63
% 0.17/0.63 % Result :Theorem 0.030000s
% 0.17/0.63 % Output :CNFRefutation 0.030000s
% 0.17/0.63 %-------------------------------------------
% 0.17/0.63 %------------------------------------------------------------------------------
% 0.17/0.63 % File : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% 0.17/0.63 % Domain : Number Theory (Ordinals)
% 0.17/0.64 % Problem : Ordinal numbers, theorem 7
% 0.17/0.64 % Version : [Urb06] axioms : Especial.
% 0.17/0.64 % English :
% 0.17/0.64
% 0.17/0.64 % Refs : [Ban90] Bancerek (1990), The Ordinal Numbers
% 0.17/0.64 % [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.17/0.64 % Source : [Urb06]
% 0.17/0.64 % Names : ordinal1__t7_ordinal1 [Urb06]
% 0.17/0.64
% 0.17/0.64 % Status : Theorem
% 0.17/0.64 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.12 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0
% 0.17/0.64 % Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% 0.17/0.64 % Number of atoms : 64 ( 2 equ)
% 0.17/0.64 % Maximal formula atoms : 6 ( 2 avg)
% 0.17/0.64 % Number of connectives : 44 ( 8 ~; 1 |; 26 &)
% 0.17/0.64 % ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% 0.17/0.64 % Maximal formula depth : 7 ( 4 avg)
% 0.17/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.17/0.64 % Number of predicates : 10 ( 9 usr; 0 prp; 1-2 aty)
% 0.17/0.64 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% 0.17/0.64 % Number of variables : 38 ( 27 !; 11 ?)
% 0.17/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.17/0.64
% 0.17/0.64 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.17/0.64 % library, www.mizar.org
% 0.17/0.64 %------------------------------------------------------------------------------
% 0.17/0.64 fof(antisymmetry_r2_hidden,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ( in(A,B)
% 0.17/0.64 => ~ in(B,A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(cc1_funct_1,axiom,
% 0.17/0.64 ! [A] :
% 0.17/0.64 ( empty(A)
% 0.17/0.64 => function(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(cc1_relat_1,axiom,
% 0.17/0.64 ! [A] :
% 0.17/0.64 ( empty(A)
% 0.17/0.64 => relation(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(cc2_funct_1,axiom,
% 0.17/0.64 ! [A] :
% 0.17/0.64 ( ( relation(A)
% 0.17/0.64 & empty(A)
% 0.17/0.64 & function(A) )
% 0.17/0.64 => ( relation(A)
% 0.17/0.64 & function(A)
% 0.17/0.64 & one_to_one(A) ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(existence_m1_subset_1,axiom,
% 0.17/0.64 ! [A] :
% 0.17/0.64 ? [B] : element(B,A) ).
% 0.17/0.64
% 0.17/0.64 fof(fc12_relat_1,axiom,
% 0.17/0.64 ( empty(empty_set)
% 0.17/0.64 & relation(empty_set)
% 0.17/0.64 & relation_empty_yielding(empty_set) ) ).
% 0.17/0.64
% 0.17/0.64 fof(fc1_xboole_0,axiom,
% 0.17/0.64 empty(empty_set) ).
% 0.17/0.64
% 0.17/0.64 fof(fc4_relat_1,axiom,
% 0.17/0.64 ( empty(empty_set)
% 0.17/0.64 & relation(empty_set) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc1_funct_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & function(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc1_relat_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( empty(A)
% 0.17/0.64 & relation(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc1_xboole_0,axiom,
% 0.17/0.64 ? [A] : empty(A) ).
% 0.17/0.64
% 0.17/0.64 fof(rc2_funct_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & empty(A)
% 0.17/0.64 & function(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc2_relat_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( ~ empty(A)
% 0.17/0.64 & relation(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc2_xboole_0,axiom,
% 0.17/0.64 ? [A] : ~ empty(A) ).
% 0.17/0.64
% 0.17/0.64 fof(rc3_funct_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & function(A)
% 0.17/0.64 & one_to_one(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc3_relat_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & relation_empty_yielding(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc4_funct_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & relation_empty_yielding(A)
% 0.17/0.64 & function(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(rc5_funct_1,axiom,
% 0.17/0.64 ? [A] :
% 0.17/0.64 ( relation(A)
% 0.17/0.64 & relation_non_empty(A)
% 0.17/0.64 & function(A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(reflexivity_r1_tarski,axiom,
% 0.17/0.64 ! [A,B] : subset(A,A) ).
% 0.17/0.64
% 0.17/0.64 fof(t1_subset,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ( in(A,B)
% 0.17/0.64 => element(A,B) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t2_subset,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ( element(A,B)
% 0.17/0.64 => ( empty(B)
% 0.17/0.64 | in(A,B) ) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t3_subset,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ( element(A,powerset(B))
% 0.17/0.64 <=> subset(A,B) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t4_subset,axiom,
% 0.17/0.64 ! [A,B,C] :
% 0.17/0.64 ( ( in(A,B)
% 0.17/0.64 & element(B,powerset(C)) )
% 0.17/0.64 => element(A,C) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t5_subset,axiom,
% 0.17/0.64 ! [A,B,C] :
% 0.17/0.64 ~ ( in(A,B)
% 0.17/0.64 & element(B,powerset(C))
% 0.17/0.64 & empty(C) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t6_boole,axiom,
% 0.17/0.64 ! [A] :
% 0.17/0.64 ( empty(A)
% 0.17/0.64 => A = empty_set ) ).
% 0.17/0.64
% 0.17/0.64 fof(t7_boole,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ~ ( in(A,B)
% 0.17/0.64 & empty(B) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t7_ordinal1,conjecture,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ~ ( in(A,B)
% 0.17/0.64 & subset(B,A) ) ).
% 0.17/0.64
% 0.17/0.64 fof(t8_boole,axiom,
% 0.17/0.64 ! [A,B] :
% 0.17/0.64 ~ ( empty(A)
% 0.17/0.64 & A != B
% 0.17/0.64 & empty(B) ) ).
% 0.17/0.64
% 0.17/0.64 %------------------------------------------------------------------------------
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 % Proof found
% 0.17/0.64 % SZS status Theorem for theBenchmark
% 0.17/0.64 % SZS output start Proof
% 0.17/0.64 %ClaNum:62(EqnAxiom:17)
% 0.17/0.64 %VarNum:53(SingletonVarNum:26)
% 0.17/0.64 %MaxLitNum:4
% 0.17/0.64 %MaxfuncDepth:1
% 0.17/0.64 %SharedTerms:40
% 0.17/0.64 %goalClause: 44 45
% 0.17/0.64 %singleGoalClaCount:2
% 0.17/0.64 [20]P1(a1)
% 0.17/0.64 [21]P1(a2)
% 0.17/0.64 [22]P1(a9)
% 0.17/0.64 [23]P1(a10)
% 0.17/0.64 [24]P3(a3)
% 0.17/0.64 [25]P3(a10)
% 0.17/0.64 [26]P3(a11)
% 0.17/0.64 [27]P3(a4)
% 0.17/0.64 [28]P3(a5)
% 0.17/0.64 [30]P4(a1)
% 0.17/0.64 [31]P4(a3)
% 0.17/0.64 [32]P4(a2)
% 0.17/0.64 [33]P4(a10)
% 0.17/0.64 [34]P4(a12)
% 0.17/0.64 [35]P4(a11)
% 0.17/0.64 [36]P4(a14)
% 0.17/0.64 [37]P4(a4)
% 0.17/0.64 [38]P4(a5)
% 0.17/0.64 [39]P5(a11)
% 0.17/0.64 [40]P7(a1)
% 0.17/0.64 [41]P7(a14)
% 0.17/0.64 [42]P7(a4)
% 0.17/0.64 [43]P8(a5)
% 0.17/0.64 [44]P6(a6,a7)
% 0.17/0.64 [45]P9(a7,a6)
% 0.17/0.64 [48]~P1(a12)
% 0.17/0.64 [49]~P1(a13)
% 0.17/0.64 [46]P9(x461,x461)
% 0.17/0.64 [47]P2(f8(x471),x471)
% 0.17/0.64 [50]~P1(x501)+E(x501,a1)
% 0.17/0.64 [51]~P1(x511)+P3(x511)
% 0.17/0.64 [52]~P1(x521)+P4(x521)
% 0.17/0.64 [55]~P1(x551)+~P6(x552,x551)
% 0.17/0.64 [56]~P6(x561,x562)+P2(x561,x562)
% 0.17/0.64 [59]~P6(x592,x591)+~P6(x591,x592)
% 0.17/0.64 [58]~P9(x581,x582)+P2(x581,f15(x582))
% 0.17/0.64 [60]P9(x601,x602)+~P2(x601,f15(x602))
% 0.17/0.64 [53]~P1(x532)+~P1(x531)+E(x531,x532)
% 0.17/0.64 [57]~P2(x572,x571)+P1(x571)+P6(x572,x571)
% 0.17/0.64 [61]~P1(x611)+~P6(x612,x613)+~P2(x613,f15(x611))
% 0.17/0.64 [62]P2(x621,x622)+~P6(x621,x623)+~P2(x623,f15(x622))
% 0.17/0.64 [54]~P1(x541)+~P3(x541)+~P4(x541)+P5(x541)
% 0.17/0.64 %EqnAxiom
% 0.17/0.64 [1]E(x11,x11)
% 0.17/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.17/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.17/0.64 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.17/0.64 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.17/0.64 [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 0.17/0.64 [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 0.17/0.64 [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 0.17/0.64 [9]P6(x92,x93)+~E(x91,x92)+~P6(x91,x93)
% 0.17/0.64 [10]P6(x103,x102)+~E(x101,x102)+~P6(x103,x101)
% 0.17/0.64 [11]~P5(x111)+P5(x112)+~E(x111,x112)
% 0.17/0.64 [12]P9(x122,x123)+~E(x121,x122)+~P9(x121,x123)
% 0.17/0.64 [13]P9(x133,x132)+~E(x131,x132)+~P9(x133,x131)
% 0.17/0.64 [14]~P4(x141)+P4(x142)+~E(x141,x142)
% 0.17/0.64 [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 0.17/0.64 [16]~P7(x161)+P7(x162)+~E(x161,x162)
% 0.17/0.64 [17]~P8(x171)+P8(x172)+~E(x171,x172)
% 0.17/0.64
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 cnf(63,plain,
% 0.17/0.64 (~P6(a7,a6)),
% 0.17/0.64 inference(scs_inference,[],[44,59])).
% 0.17/0.64 cnf(64,plain,
% 0.17/0.64 (~P6(x641,a1)),
% 0.17/0.64 inference(scs_inference,[],[44,20,59,55])).
% 0.17/0.64 cnf(66,plain,
% 0.17/0.65 (P2(f8(x661),x661)),
% 0.17/0.65 inference(rename_variables,[],[47])).
% 0.17/0.65 cnf(69,plain,
% 0.17/0.65 (P6(f8(a12),a12)),
% 0.17/0.65 inference(scs_inference,[],[44,20,48,47,66,59,55,60,10,57])).
% 0.17/0.65 cnf(70,plain,
% 0.17/0.65 (P2(f8(x701),x701)),
% 0.17/0.65 inference(rename_variables,[],[47])).
% 0.17/0.65 cnf(72,plain,
% 0.17/0.65 (~P1(a7)),
% 0.17/0.65 inference(scs_inference,[],[44,20,48,47,66,59,55,60,10,57,53])).
% 0.17/0.65 cnf(74,plain,
% 0.17/0.65 (~P6(x741,f8(f15(a1)))),
% 0.17/0.65 inference(scs_inference,[],[44,20,48,47,66,70,59,55,60,10,57,53,61])).
% 0.17/0.65 cnf(75,plain,
% 0.17/0.65 (P2(f8(x751),x751)),
% 0.17/0.65 inference(rename_variables,[],[47])).
% 0.17/0.65 cnf(84,plain,
% 0.17/0.65 (P3(a1)),
% 0.17/0.65 inference(scs_inference,[],[44,20,22,23,25,33,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51])).
% 0.17/0.65 cnf(86,plain,
% 0.17/0.65 (E(a2,a1)),
% 0.17/0.65 inference(scs_inference,[],[44,20,21,22,23,25,33,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51,50])).
% 0.17/0.65 cnf(88,plain,
% 0.17/0.65 (P2(x881,f15(x881))),
% 0.17/0.65 inference(scs_inference,[],[44,46,20,21,22,23,25,33,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51,50,58])).
% 0.17/0.65 cnf(90,plain,
% 0.17/0.65 (E(f15(a2),f15(a1))),
% 0.17/0.65 inference(scs_inference,[],[44,46,20,21,22,23,25,33,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51,50,58,5])).
% 0.17/0.65 cnf(91,plain,
% 0.17/0.65 (E(f8(a2),f8(a1))),
% 0.17/0.65 inference(scs_inference,[],[44,46,20,21,22,23,25,33,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51,50,58,5,4])).
% 0.17/0.65 cnf(95,plain,
% 0.17/0.65 (P9(a2,a1)),
% 0.17/0.65 inference(scs_inference,[],[44,46,20,21,22,23,25,33,43,48,47,66,70,59,55,60,10,57,53,61,54,2,56,52,51,50,58,5,4,17,6,3,13])).
% 0.17/0.65 cnf(96,plain,
% 0.17/0.65 (P9(x961,x961)),
% 0.17/0.65 inference(rename_variables,[],[46])).
% 0.17/0.65 cnf(102,plain,
% 0.17/0.65 (P2(a6,x1021)+~P2(a7,f15(x1021))),
% 0.17/0.65 inference(scs_inference,[],[44,46,96,20,21,22,23,25,33,43,48,47,66,70,75,59,55,60,10,57,53,61,54,2,56,52,51,50,58,5,4,17,6,3,13,12,8,7,62])).
% 0.17/0.65 cnf(105,plain,
% 0.17/0.65 (~P2(a7,f15(a2))),
% 0.17/0.65 inference(scs_inference,[],[44,21,61])).
% 0.17/0.65 cnf(113,plain,
% 0.17/0.65 (~E(a7,f8(f15(a1)))),
% 0.17/0.65 inference(scs_inference,[],[44,21,46,74,69,61,59,58,12,10])).
% 0.17/0.65 cnf(114,plain,
% 0.17/0.65 (P2(f8(f15(a2)),f15(a1))),
% 0.17/0.65 inference(scs_inference,[],[44,21,47,46,74,90,69,61,59,58,12,10,8])).
% 0.17/0.65 cnf(115,plain,
% 0.17/0.65 (P2(f8(x1151),x1151)),
% 0.17/0.65 inference(rename_variables,[],[47])).
% 0.17/0.65 cnf(116,plain,
% 0.17/0.65 (~E(f8(f15(a2)),a7)),
% 0.17/0.65 inference(scs_inference,[],[44,21,47,115,46,74,90,69,61,59,58,12,10,8,7])).
% 0.17/0.65 cnf(118,plain,
% 0.17/0.65 (~E(a2,a13)),
% 0.17/0.65 inference(scs_inference,[],[44,49,21,47,115,46,74,90,69,61,59,58,12,10,8,7,6])).
% 0.17/0.65 cnf(119,plain,
% 0.17/0.65 (P5(a1)),
% 0.17/0.65 inference(scs_inference,[],[44,30,49,21,47,115,46,20,74,90,69,84,61,59,58,12,10,8,7,6,54])).
% 0.17/0.65 cnf(121,plain,
% 0.17/0.65 (E(f15(a1),f15(a2))),
% 0.17/0.65 inference(scs_inference,[],[44,30,49,21,47,115,46,20,74,90,69,84,61,59,58,12,10,8,7,6,54,2])).
% 0.17/0.65 cnf(124,plain,
% 0.17/0.65 (~P6(a7,f15(a2))),
% 0.17/0.65 inference(scs_inference,[],[44,45,30,40,49,21,47,115,46,20,74,90,69,84,61,59,58,12,10,8,7,6,54,2,13,16,56])).
% 0.17/0.65 cnf(133,plain,
% 0.17/0.65 (P6(f8(a13),a13)),
% 0.17/0.65 inference(scs_inference,[],[49,47,57])).
% 0.17/0.65 cnf(136,plain,
% 0.17/0.65 (P2(a7,f15(a6))),
% 0.17/0.65 inference(scs_inference,[],[45,49,47,57,58])).
% 0.17/0.65 cnf(139,plain,
% 0.17/0.65 (~P2(a7,f15(a1))),
% 0.17/0.65 inference(scs_inference,[],[45,49,47,105,124,121,57,58,10,8])).
% 0.17/0.65 cnf(142,plain,
% 0.17/0.65 (P2(a6,a6)),
% 0.17/0.65 inference(scs_inference,[],[45,24,49,47,105,124,121,113,57,58,10,8,2,15,102])).
% 0.17/0.65 cnf(152,plain,
% 0.17/0.65 (~P1(a6)),
% 0.17/0.65 inference(scs_inference,[],[136,44,61])).
% 0.17/0.65 cnf(154,plain,
% 0.17/0.65 (~P9(a7,a1)),
% 0.17/0.65 inference(scs_inference,[],[136,139,44,61,58])).
% 0.17/0.65 cnf(158,plain,
% 0.17/0.65 (P6(f8(a7),a7)),
% 0.17/0.65 inference(scs_inference,[],[47,133,136,139,72,44,61,58,59,57])).
% 0.17/0.65 cnf(159,plain,
% 0.17/0.65 (P2(f8(x1591),x1591)),
% 0.17/0.65 inference(rename_variables,[],[47])).
% 0.17/0.65 cnf(167,plain,
% 0.17/0.65 (E(a1,a2)),
% 0.17/0.65 inference(scs_inference,[],[23,48,47,159,133,136,139,72,118,64,86,91,44,61,58,59,57,8,10,6,3,2])).
% 0.17/0.65 cnf(192,plain,
% 0.17/0.65 (E(a9,a1)),
% 0.17/0.65 inference(scs_inference,[],[20,63,64,22,47,116,114,158,95,152,167,86,61,57,59,58,6,8,10,2,9,51,4,60,50])).
% 0.17/0.65 cnf(195,plain,
% 0.17/0.65 (E(f15(a9),f15(a1))),
% 0.17/0.65 inference(scs_inference,[],[20,63,64,22,47,116,114,158,95,119,152,167,86,61,57,59,58,6,8,10,2,9,51,4,60,50,11,5])).
% 0.17/0.65 cnf(215,plain,
% 0.17/0.65 ($false),
% 0.17/0.65 inference(scs_inference,[],[23,195,142,192,88,154,158,152,13,7,61,58,57,59]),
% 0.17/0.65 ['proof']).
% 0.17/0.65 % SZS output end Proof
% 0.17/0.65 % Total time :0.030000s
%------------------------------------------------------------------------------