TSTP Solution File: SEU230+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 16:18:35 EDT 2023
% Result : Theorem 0.19s 0.72s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 12:22:39 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 % File :CSE---1.6
% 0.19/0.71 % Problem :theBenchmark
% 0.19/0.71 % Transform :cnf
% 0.19/0.71 % Format :tptp:raw
% 0.19/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.71
% 0.19/0.71 % Result :Theorem 0.070000s
% 0.19/0.71 % Output :CNFRefutation 0.070000s
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 %------------------------------------------------------------------------------
% 0.19/0.71 % File : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.71 % Domain : Set theory
% 0.19/0.71 % Problem : MPTP bushy problem t10_ordinal1
% 0.19/0.71 % Version : [Urb07] axioms : Especial.
% 0.19/0.71 % English :
% 0.19/0.71
% 0.19/0.71 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.71 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.71 % Source : [Urb07]
% 0.19/0.71 % Names : bushy-t10_ordinal1 [Urb07]
% 0.19/0.71
% 0.19/0.71 % Status : Theorem
% 0.19/0.71 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.00 v5.1.0, 0.05 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0
% 0.19/0.71 % Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% 0.19/0.71 % Number of atoms : 75 ( 9 equ)
% 0.19/0.71 % Maximal formula atoms : 6 ( 1 avg)
% 0.19/0.71 % Number of connectives : 48 ( 11 ~; 2 |; 21 &)
% 0.19/0.71 % ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% 0.19/0.71 % Maximal formula depth : 8 ( 3 avg)
% 0.19/0.71 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.71 % Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% 0.19/0.71 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.19/0.71 % Number of variables : 46 ( 36 !; 10 ?)
% 0.19/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.71
% 0.19/0.71 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.71 % library, www.mizar.org
% 0.19/0.71 %------------------------------------------------------------------------------
% 0.19/0.71 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.71 ! [A,B] :
% 0.19/0.71 ( in(A,B)
% 0.19/0.71 => ~ in(B,A) ) ).
% 0.19/0.71
% 0.19/0.71 fof(cc1_funct_1,axiom,
% 0.19/0.71 ! [A] :
% 0.19/0.71 ( empty(A)
% 0.19/0.71 => function(A) ) ).
% 0.19/0.71
% 0.19/0.71 fof(cc1_relat_1,axiom,
% 0.19/0.71 ! [A] :
% 0.19/0.71 ( empty(A)
% 0.19/0.71 => relation(A) ) ).
% 0.19/0.71
% 0.19/0.71 fof(cc2_funct_1,axiom,
% 0.19/0.71 ! [A] :
% 0.19/0.71 ( ( relation(A)
% 0.19/0.71 & empty(A)
% 0.19/0.71 & function(A) )
% 0.19/0.71 => ( relation(A)
% 0.19/0.71 & function(A)
% 0.19/0.71 & one_to_one(A) ) ) ).
% 0.19/0.71
% 0.19/0.71 fof(commutativity_k2_xboole_0,axiom,
% 0.19/0.71 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.19/0.71
% 0.19/0.71 fof(d1_ordinal1,axiom,
% 0.19/0.72 ! [A] : succ(A) = set_union2(A,singleton(A)) ).
% 0.19/0.72
% 0.19/0.72 fof(d1_tarski,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( B = singleton(A)
% 0.19/0.72 <=> ! [C] :
% 0.19/0.72 ( in(C,B)
% 0.19/0.72 <=> C = A ) ) ).
% 0.19/0.72
% 0.19/0.72 fof(d2_xboole_0,axiom,
% 0.19/0.72 ! [A,B,C] :
% 0.19/0.72 ( C = set_union2(A,B)
% 0.19/0.72 <=> ! [D] :
% 0.19/0.72 ( in(D,C)
% 0.19/0.72 <=> ( in(D,A)
% 0.19/0.72 | in(D,B) ) ) ) ).
% 0.19/0.72
% 0.19/0.72 fof(dt_k1_ordinal1,axiom,
% 0.19/0.72 $true ).
% 0.19/0.72
% 0.19/0.72 fof(dt_k1_tarski,axiom,
% 0.19/0.72 $true ).
% 0.19/0.72
% 0.19/0.72 fof(dt_k1_xboole_0,axiom,
% 0.19/0.72 $true ).
% 0.19/0.72
% 0.19/0.72 fof(dt_k2_xboole_0,axiom,
% 0.19/0.72 $true ).
% 0.19/0.72
% 0.19/0.72 fof(dt_m1_subset_1,axiom,
% 0.19/0.72 $true ).
% 0.19/0.72
% 0.19/0.72 fof(existence_m1_subset_1,axiom,
% 0.19/0.72 ! [A] :
% 0.19/0.72 ? [B] : element(B,A) ).
% 0.19/0.72
% 0.19/0.72 fof(fc12_relat_1,axiom,
% 0.19/0.72 ( empty(empty_set)
% 0.19/0.72 & relation(empty_set)
% 0.19/0.72 & relation_empty_yielding(empty_set) ) ).
% 0.19/0.72
% 0.19/0.72 fof(fc1_ordinal1,axiom,
% 0.19/0.72 ! [A] : ~ empty(succ(A)) ).
% 0.19/0.72
% 0.19/0.72 fof(fc1_xboole_0,axiom,
% 0.19/0.72 empty(empty_set) ).
% 0.19/0.72
% 0.19/0.72 fof(fc2_relat_1,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( ( relation(A)
% 0.19/0.72 & relation(B) )
% 0.19/0.72 => relation(set_union2(A,B)) ) ).
% 0.19/0.72
% 0.19/0.72 fof(fc2_xboole_0,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( ~ empty(A)
% 0.19/0.72 => ~ empty(set_union2(A,B)) ) ).
% 0.19/0.72
% 0.19/0.72 fof(fc3_xboole_0,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( ~ empty(A)
% 0.19/0.72 => ~ empty(set_union2(B,A)) ) ).
% 0.19/0.72
% 0.19/0.72 fof(fc4_relat_1,axiom,
% 0.19/0.72 ( empty(empty_set)
% 0.19/0.72 & relation(empty_set) ) ).
% 0.19/0.72
% 0.19/0.72 fof(idempotence_k2_xboole_0,axiom,
% 0.19/0.72 ! [A,B] : set_union2(A,A) = A ).
% 0.19/0.72
% 0.19/0.72 fof(rc1_funct_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( relation(A)
% 0.19/0.72 & function(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc1_relat_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( empty(A)
% 0.19/0.72 & relation(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc1_xboole_0,axiom,
% 0.19/0.72 ? [A] : empty(A) ).
% 0.19/0.72
% 0.19/0.72 fof(rc2_funct_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( relation(A)
% 0.19/0.72 & empty(A)
% 0.19/0.72 & function(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc2_relat_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( ~ empty(A)
% 0.19/0.72 & relation(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc2_xboole_0,axiom,
% 0.19/0.72 ? [A] : ~ empty(A) ).
% 0.19/0.72
% 0.19/0.72 fof(rc3_funct_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( relation(A)
% 0.19/0.72 & function(A)
% 0.19/0.72 & one_to_one(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc3_relat_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( relation(A)
% 0.19/0.72 & relation_empty_yielding(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(rc4_funct_1,axiom,
% 0.19/0.72 ? [A] :
% 0.19/0.72 ( relation(A)
% 0.19/0.72 & relation_empty_yielding(A)
% 0.19/0.72 & function(A) ) ).
% 0.19/0.72
% 0.19/0.72 fof(t10_ordinal1,conjecture,
% 0.19/0.72 ! [A] : in(A,succ(A)) ).
% 0.19/0.72
% 0.19/0.72 fof(t1_boole,axiom,
% 0.19/0.72 ! [A] : set_union2(A,empty_set) = A ).
% 0.19/0.72
% 0.19/0.72 fof(t1_subset,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( in(A,B)
% 0.19/0.72 => element(A,B) ) ).
% 0.19/0.72
% 0.19/0.72 fof(t2_subset,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ( element(A,B)
% 0.19/0.72 => ( empty(B)
% 0.19/0.72 | in(A,B) ) ) ).
% 0.19/0.72
% 0.19/0.72 fof(t6_boole,axiom,
% 0.19/0.72 ! [A] :
% 0.19/0.72 ( empty(A)
% 0.19/0.72 => A = empty_set ) ).
% 0.19/0.72
% 0.19/0.72 fof(t7_boole,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ~ ( in(A,B)
% 0.19/0.72 & empty(B) ) ).
% 0.19/0.72
% 0.19/0.72 fof(t8_boole,axiom,
% 0.19/0.72 ! [A,B] :
% 0.19/0.72 ~ ( empty(A)
% 0.19/0.72 & A != B
% 0.19/0.72 & empty(B) ) ).
% 0.19/0.72
% 0.19/0.72 %------------------------------------------------------------------------------
% 0.19/0.72 %-------------------------------------------
% 0.19/0.72 % Proof found
% 0.19/0.72 % SZS status Theorem for theBenchmark
% 0.19/0.72 % SZS output start Proof
% 0.19/0.72 %ClaNum:74(EqnAxiom:21)
% 0.19/0.72 %VarNum:141(SingletonVarNum:57)
% 0.19/0.72 %MaxLitNum:4
% 0.19/0.72 %MaxfuncDepth:2
% 0.19/0.72 %SharedTerms:36
% 0.19/0.72 %goalClause: 51
% 0.19/0.72 %singleGoalClaCount:1
% 0.19/0.72 [24]P1(a1)
% 0.19/0.72 [25]P1(a2)
% 0.19/0.72 [26]P1(a11)
% 0.19/0.72 [27]P1(a12)
% 0.19/0.72 [28]P3(a3)
% 0.19/0.72 [29]P3(a12)
% 0.19/0.72 [30]P3(a4)
% 0.19/0.72 [31]P3(a5)
% 0.19/0.72 [33]P4(a1)
% 0.19/0.72 [34]P4(a3)
% 0.19/0.72 [35]P4(a2)
% 0.19/0.72 [36]P4(a12)
% 0.19/0.72 [37]P4(a13)
% 0.19/0.72 [38]P4(a4)
% 0.19/0.72 [39]P4(a6)
% 0.19/0.72 [40]P4(a5)
% 0.19/0.72 [41]P5(a4)
% 0.19/0.72 [42]P7(a1)
% 0.19/0.72 [43]P7(a6)
% 0.19/0.72 [44]P7(a5)
% 0.19/0.72 [49]~P1(a13)
% 0.19/0.72 [50]~P1(a15)
% 0.19/0.72 [51]~P6(a8,f14(a8,f16(a8)))
% 0.19/0.72 [45]E(f14(x451,a1),x451)
% 0.19/0.72 [46]E(f14(x461,x461),x461)
% 0.19/0.72 [47]P2(f7(x471),x471)
% 0.19/0.72 [52]~P1(f14(x521,f16(x521)))
% 0.19/0.72 [48]E(f14(x481,x482),f14(x482,x481))
% 0.19/0.72 [53]~P1(x531)+E(x531,a1)
% 0.19/0.72 [54]~P1(x541)+P3(x541)
% 0.19/0.72 [55]~P1(x551)+P4(x551)
% 0.19/0.72 [59]~P1(x591)+~P6(x592,x591)
% 0.19/0.72 [61]~P6(x611,x612)+P2(x611,x612)
% 0.19/0.72 [64]~P6(x642,x641)+~P6(x641,x642)
% 0.19/0.72 [65]P1(x651)+~P1(f14(x652,x651))
% 0.19/0.72 [66]P1(x661)+~P1(f14(x661,x662))
% 0.19/0.72 [56]~P1(x562)+~P1(x561)+E(x561,x562)
% 0.19/0.72 [62]~P2(x622,x621)+P1(x621)+P6(x622,x621)
% 0.19/0.72 [63]~P4(x632)+~P4(x631)+P4(f14(x631,x632))
% 0.19/0.72 [67]E(f9(x672,x671),x672)+P6(f9(x672,x671),x671)+E(x671,f16(x672))
% 0.19/0.72 [71]~E(f9(x712,x711),x712)+~P6(f9(x712,x711),x711)+E(x711,f16(x712))
% 0.19/0.72 [58]P6(x581,x582)+~E(x581,x583)+~E(x582,f16(x583))
% 0.19/0.72 [60]~P6(x601,x603)+E(x601,x602)+~E(x603,f16(x602))
% 0.19/0.72 [73]~P6(f10(x732,x733,x731),x731)+~P6(f10(x732,x733,x731),x733)+E(x731,f14(x732,x733))
% 0.19/0.72 [74]~P6(f10(x742,x743,x741),x741)+~P6(f10(x742,x743,x741),x742)+E(x741,f14(x742,x743))
% 0.19/0.72 [68]~P6(x681,x684)+P6(x681,x682)+~E(x682,f14(x683,x684))
% 0.19/0.72 [69]~P6(x691,x693)+P6(x691,x692)+~E(x692,f14(x693,x694))
% 0.19/0.72 [57]~P1(x571)+~P3(x571)+~P4(x571)+P5(x571)
% 0.19/0.72 [72]P6(f10(x722,x723,x721),x721)+P6(f10(x722,x723,x721),x723)+P6(f10(x722,x723,x721),x722)+E(x721,f14(x722,x723))
% 0.19/0.72 [70]~P6(x701,x704)+P6(x701,x702)+P6(x701,x703)+~E(x704,f14(x703,x702))
% 0.19/0.72 %EqnAxiom
% 0.19/0.72 [1]E(x11,x11)
% 0.19/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.72 [4]~E(x41,x42)+E(f14(x41,x43),f14(x42,x43))
% 0.19/0.72 [5]~E(x51,x52)+E(f14(x53,x51),f14(x53,x52))
% 0.19/0.72 [6]~E(x61,x62)+E(f10(x61,x63,x64),f10(x62,x63,x64))
% 0.19/0.72 [7]~E(x71,x72)+E(f10(x73,x71,x74),f10(x73,x72,x74))
% 0.19/0.72 [8]~E(x81,x82)+E(f10(x83,x84,x81),f10(x83,x84,x82))
% 0.19/0.72 [9]~E(x91,x92)+E(f7(x91),f7(x92))
% 0.19/0.72 [10]~E(x101,x102)+E(f16(x101),f16(x102))
% 0.19/0.72 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.19/0.72 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.19/0.72 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.19/0.72 [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143)
% 0.19/0.72 [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151)
% 0.19/0.72 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.19/0.72 [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 0.19/0.72 [18]~P5(x181)+P5(x182)+~E(x181,x182)
% 0.19/0.72 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 0.19/0.72 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 0.19/0.72 [21]~P7(x211)+P7(x212)+~E(x211,x212)
% 0.19/0.72
% 0.19/0.72 %-------------------------------------------
% 0.19/0.72 cnf(75,plain,
% 0.19/0.72 (E(x751,f14(x751,x751))),
% 0.19/0.72 inference(scs_inference,[],[46,2])).
% 0.19/0.72 cnf(76,plain,
% 0.19/0.72 (~P6(x761,a1)),
% 0.19/0.72 inference(scs_inference,[],[24,46,2,59])).
% 0.19/0.72 cnf(80,plain,
% 0.19/0.72 (P2(f7(x801),x801)),
% 0.19/0.72 inference(rename_variables,[],[47])).
% 0.19/0.72 cnf(81,plain,
% 0.19/0.72 (E(f14(x811,x811),x811)),
% 0.19/0.72 inference(rename_variables,[],[46])).
% 0.19/0.72 cnf(84,plain,
% 0.19/0.72 (E(f14(x841,x841),x841)),
% 0.19/0.72 inference(rename_variables,[],[46])).
% 0.19/0.72 cnf(85,plain,
% 0.19/0.72 (E(f14(f14(x851,x851),a1),x851)),
% 0.19/0.72 inference(scs_inference,[],[24,33,42,49,46,81,84,47,45,2,59,21,20,16,13,3])).
% 0.19/0.72 cnf(86,plain,
% 0.19/0.72 (E(f14(x861,a1),x861)),
% 0.19/0.72 inference(rename_variables,[],[45])).
% 0.19/0.72 cnf(87,plain,
% 0.19/0.72 (P6(f7(a13),a13)),
% 0.19/0.72 inference(scs_inference,[],[24,33,42,49,46,81,84,47,80,45,2,59,21,20,16,13,3,62])).
% 0.19/0.72 cnf(91,plain,
% 0.19/0.72 (E(f14(x911,x911),x911)),
% 0.19/0.72 inference(rename_variables,[],[46])).
% 0.19/0.72 cnf(94,plain,
% 0.19/0.72 (E(f14(x941,x941),x941)),
% 0.19/0.72 inference(rename_variables,[],[46])).
% 0.19/0.72 cnf(96,plain,
% 0.19/0.72 (P6(f14(x961,a1),f14(f16(x961),f16(x961)))),
% 0.19/0.72 inference(scs_inference,[],[24,33,42,49,46,81,84,91,94,47,80,45,86,2,59,21,20,16,13,3,62,69,68,58])).
% 0.19/0.72 cnf(97,plain,
% 0.19/0.72 (E(f14(x971,x971),x971)),
% 0.19/0.72 inference(rename_variables,[],[46])).
% 0.19/0.72 cnf(106,plain,
% 0.19/0.72 (P2(f7(a13),f14(f14(a13,x1061),f14(a13,x1061)))),
% 0.19/0.73 inference(scs_inference,[],[24,27,29,33,36,42,49,46,81,84,91,94,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61])).
% 0.19/0.73 cnf(110,plain,
% 0.19/0.73 (P3(a1)),
% 0.19/0.73 inference(scs_inference,[],[24,26,27,29,33,36,42,49,46,81,84,91,94,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54])).
% 0.19/0.73 cnf(114,plain,
% 0.19/0.73 (~P1(f14(a13,x1141))),
% 0.19/0.73 inference(scs_inference,[],[24,25,26,27,29,33,36,42,49,46,81,84,91,94,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54,53,66])).
% 0.19/0.73 cnf(127,plain,
% 0.19/0.73 (~E(a4,x1271)+P5(x1271)),
% 0.19/0.73 inference(scs_inference,[],[24,25,26,27,29,33,36,41,42,49,46,81,84,91,94,97,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54,53,66,65,12,11,10,9,8,7,6,5,4,18])).
% 0.19/0.73 cnf(128,plain,
% 0.19/0.73 (P3(f14(a1,a1))),
% 0.19/0.73 inference(scs_inference,[],[24,25,26,27,29,33,36,41,42,49,46,81,84,91,94,97,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54,53,66,65,12,11,10,9,8,7,6,5,4,18,17])).
% 0.19/0.73 cnf(129,plain,
% 0.19/0.73 (~P6(x1291,f14(a1,a1))),
% 0.19/0.73 inference(scs_inference,[],[24,25,26,27,29,33,36,41,42,49,46,81,84,91,94,97,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54,53,66,65,12,11,10,9,8,7,6,5,4,18,17,15])).
% 0.19/0.73 cnf(130,plain,
% 0.19/0.73 (E(f14(x1301,x1301),x1301)),
% 0.19/0.73 inference(rename_variables,[],[46])).
% 0.19/0.73 cnf(132,plain,
% 0.19/0.73 (E(f14(x1321,x1321),x1321)),
% 0.19/0.73 inference(rename_variables,[],[46])).
% 0.19/0.73 cnf(135,plain,
% 0.19/0.73 (~P2(f14(x1351,x1351),x1352)+P2(x1351,x1352)),
% 0.19/0.73 inference(scs_inference,[],[51,24,25,26,27,29,33,34,36,41,42,49,46,81,84,91,94,97,130,132,47,80,45,86,48,2,59,21,20,16,13,3,62,69,68,58,57,70,64,61,55,54,53,66,65,12,11,10,9,8,7,6,5,4,18,17,15,14,63,19])).
% 0.19/0.73 cnf(140,plain,
% 0.19/0.73 (E(x1401,f14(x1401,x1401))),
% 0.19/0.73 inference(rename_variables,[],[75])).
% 0.19/0.73 cnf(144,plain,
% 0.19/0.73 (~P6(x1441,f14(a1,a1))),
% 0.19/0.73 inference(rename_variables,[],[129])).
% 0.19/0.73 cnf(150,plain,
% 0.19/0.73 (~P6(x1501,f14(a1,a1))),
% 0.19/0.73 inference(rename_variables,[],[129])).
% 0.19/0.73 cnf(153,plain,
% 0.19/0.73 (~P6(f14(f16(x1531),f16(x1531)),f14(x1531,a1))),
% 0.19/0.73 inference(scs_inference,[],[35,75,129,144,96,76,127,72,63,70,2,64])).
% 0.19/0.73 cnf(155,plain,
% 0.19/0.73 (~P2(a8,f14(a8,f16(a8)))),
% 0.19/0.73 inference(scs_inference,[],[51,35,52,75,129,144,96,76,127,72,63,70,2,64,62])).
% 0.19/0.73 cnf(158,plain,
% 0.19/0.73 (~E(f14(a1,a1),f14(a13,x1581))),
% 0.19/0.73 inference(scs_inference,[],[51,35,52,75,129,144,150,96,87,76,127,72,63,70,2,64,62,69])).
% 0.19/0.73 cnf(159,plain,
% 0.19/0.73 (~P6(x1591,f14(a1,a1))),
% 0.19/0.73 inference(rename_variables,[],[129])).
% 0.19/0.73 cnf(169,plain,
% 0.19/0.73 (E(x1691,f14(x1691,x1691))),
% 0.19/0.73 inference(rename_variables,[],[75])).
% 0.19/0.73 cnf(171,plain,
% 0.19/0.73 (~E(a1,a13)),
% 0.19/0.73 inference(scs_inference,[],[51,35,52,33,24,75,140,129,144,150,159,96,87,76,110,127,72,63,70,2,64,62,69,68,57,59,58,5])).
% 0.19/0.73 cnf(174,plain,
% 0.19/0.73 (P6(f14(x1741,a1),f16(x1741))),
% 0.19/0.73 inference(scs_inference,[],[51,35,39,43,52,33,24,46,75,140,169,129,144,150,159,96,87,76,110,127,72,63,70,2,64,62,69,68,57,59,58,5,21,16,15])).
% 0.19/0.73 cnf(176,plain,
% 0.19/0.73 (P6(x1761,f14(f16(x1761),f16(x1761)))),
% 0.19/0.73 inference(scs_inference,[],[51,35,39,43,52,45,33,24,46,75,140,169,129,144,150,159,96,87,76,110,127,72,63,70,2,64,62,69,68,57,59,58,5,21,16,15,14])).
% 0.19/0.73 cnf(177,plain,
% 0.19/0.73 (E(f14(x1771,a1),x1771)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(180,plain,
% 0.19/0.73 (E(f14(x1801,a1),x1801)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(184,plain,
% 0.19/0.73 (~P2(a8,f14(f16(a8),a8))),
% 0.19/0.73 inference(scs_inference,[],[51,35,39,43,50,52,25,45,177,48,33,24,46,75,140,169,129,144,150,159,96,87,76,110,127,72,63,70,2,64,62,69,68,57,59,58,5,21,16,15,14,13,3,60,20])).
% 0.19/0.73 cnf(191,plain,
% 0.19/0.73 (P2(x1911,f14(f14(a13,x1912),f14(a13,x1912)))+~E(f7(a13),x1911)),
% 0.19/0.73 inference(scs_inference,[],[51,35,39,43,50,52,25,45,177,180,48,33,24,46,75,140,169,129,144,150,159,128,96,106,87,76,110,127,72,63,70,2,64,62,69,68,57,59,58,5,21,16,15,14,13,3,60,20,18,17,135,61,19])).
% 0.19/0.73 cnf(194,plain,
% 0.19/0.73 (E(x1941,f14(x1941,x1941))),
% 0.19/0.73 inference(rename_variables,[],[75])).
% 0.19/0.73 cnf(196,plain,
% 0.19/0.73 (E(f14(x1961,a1),x1961)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(200,plain,
% 0.19/0.73 (~P6(x2001,a1)),
% 0.19/0.73 inference(rename_variables,[],[76])).
% 0.19/0.73 cnf(209,plain,
% 0.19/0.73 (P6(f14(x2091,x2091),f14(f16(x2091),a1))),
% 0.19/0.73 inference(scs_inference,[],[75,45,196,46,176,174,158,171,76,129,191,60,72,61,64,59,58])).
% 0.19/0.73 cnf(210,plain,
% 0.19/0.73 (E(f14(x2101,a1),x2101)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(215,plain,
% 0.19/0.73 (P6(f14(a8,a8),f14(f16(a8),f16(a8)))),
% 0.19/0.73 inference(scs_inference,[],[75,194,45,196,210,46,176,174,158,155,171,76,129,191,60,72,61,64,59,58,2,5,20,14])).
% 0.19/0.73 cnf(221,plain,
% 0.19/0.73 (~P2(f14(a8,a8),f14(f16(a8),a8))),
% 0.19/0.73 inference(scs_inference,[],[75,194,50,45,196,210,46,176,174,158,155,171,184,76,200,129,191,60,72,61,64,59,58,2,5,20,14,13,15,19])).
% 0.19/0.73 cnf(230,plain,
% 0.19/0.73 (~P6(f14(a8,a8),f14(f16(a8),a8))),
% 0.19/0.73 inference(scs_inference,[],[221,61])).
% 0.19/0.73 cnf(244,plain,
% 0.19/0.73 (~P6(x2441,a11)),
% 0.19/0.73 inference(scs_inference,[],[26,75,221,215,153,114,76,129,61,72,4,62,64,59])).
% 0.19/0.73 cnf(267,plain,
% 0.19/0.73 (E(f14(x2671,a1),x2671)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(270,plain,
% 0.19/0.73 (E(f14(x2701,x2702),f14(x2702,x2701))),
% 0.19/0.73 inference(rename_variables,[],[48])).
% 0.19/0.73 cnf(288,plain,
% 0.19/0.73 (E(f14(x2881,a1),x2881)),
% 0.19/0.73 inference(rename_variables,[],[45])).
% 0.19/0.73 cnf(293,plain,
% 0.19/0.73 ($false),
% 0.19/0.73 inference(scs_inference,[],[25,50,47,45,267,288,48,270,76,230,85,209,244,70,68,69,61,72,62,64,58,59,5,15]),
% 0.19/0.73 ['proof']).
% 0.19/0.73 % SZS output end Proof
% 0.19/0.73 % Total time :0.070000s
%------------------------------------------------------------------------------