TSTP Solution File: ALG227+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG227+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 : n012.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 : Wed Aug 30 15:59:13 EDT 2023
% Result : Theorem 0.20s 0.74s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG227+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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:42:24 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 % File :CSE---1.6
% 0.20/0.73 % Problem :theBenchmark
% 0.20/0.73 % Transform :cnf
% 0.20/0.73 % Format :tptp:raw
% 0.20/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.73
% 0.20/0.73 % Result :Theorem 0.070000s
% 0.20/0.73 % Output :CNFRefutation 0.070000s
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 %------------------------------------------------------------------------------
% 0.20/0.74 % File : ALG227+1 : TPTP v8.1.2. Released v3.4.0.
% 0.20/0.74 % Domain : General Algebra
% 0.20/0.74 % Problem : Algebraic Operation on Subsets of Many Sorted Sets T08
% 0.20/0.74 % Version : [Urb08] axioms : Especial.
% 0.20/0.74 % English :
% 0.20/0.74
% 0.20/0.74 % Refs : [Mar97] Marasik (1997), Algebraic Operation on Subsets of Many
% 0.20/0.74 % : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% 0.20/0.74 % : [Urb08] Urban (2006), Email to G. Sutcliffe
% 0.20/0.74 % Source : [Urb08]
% 0.20/0.74 % Names : t8_closure3 [Urb08]
% 0.20/0.74
% 0.20/0.74 % Status : Theorem
% 0.20/0.74 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.23 v6.0.0, 0.22 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.1.0, 0.10 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0
% 0.20/0.74 % Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% 0.20/0.74 % Number of atoms : 72 ( 8 equ)
% 0.20/0.74 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.74 % Number of connectives : 54 ( 11 ~; 1 |; 22 &)
% 0.20/0.74 % ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% 0.20/0.74 % Maximal formula depth : 10 ( 4 avg)
% 0.20/0.74 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.74 % Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% 0.20/0.74 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.20/0.74 % Number of variables : 41 ( 31 !; 10 ?)
% 0.20/0.74 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.74
% 0.20/0.74 % Comments : Normal version: includes the axioms (which may be theorems from
% 0.20/0.74 % other articles) and background that are possibly necessary.
% 0.20/0.74 % : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% 0.20/0.74 % : The problem encoding is based on set theory.
% 0.20/0.74 %------------------------------------------------------------------------------
% 0.20/0.74 fof(t8_closure3,conjecture,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( ~ v1_xboole_0(A)
% 0.20/0.74 => ! [B] :
% 0.20/0.74 ( m1_pboole(B,A)
% 0.20/0.74 => ! [C] :
% 0.20/0.74 ( m1_subset_1(C,A)
% 0.20/0.74 => ( ~ r2_hidden(C,k1_closure3(A,B))
% 0.20/0.74 => k1_funct_1(B,C) = k1_xboole_0 ) ) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(antisymmetry_r2_hidden,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ( r2_hidden(A,B)
% 0.20/0.74 => ~ r2_hidden(B,A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(cc1_closure2,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( v1_xboole_0(A)
% 0.20/0.74 => v1_fraenkel(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(cc1_finset_1,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( v1_xboole_0(A)
% 0.20/0.74 => v1_finset_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(cc1_funct_1,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( v1_xboole_0(A)
% 0.20/0.74 => v1_funct_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(cc2_funct_1,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( ( v1_relat_1(A)
% 0.20/0.74 & v1_xboole_0(A)
% 0.20/0.74 & v1_funct_1(A) )
% 0.20/0.74 => ( v1_relat_1(A)
% 0.20/0.74 & v1_funct_1(A)
% 0.20/0.74 & v2_funct_1(A) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(d3_closure3,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( ~ v1_xboole_0(A)
% 0.20/0.74 => ! [B] :
% 0.20/0.74 ( m1_pboole(B,A)
% 0.20/0.74 => ! [C] :
% 0.20/0.74 ( C = k1_closure3(A,B)
% 0.20/0.74 <=> C = a_2_0_closure3(A,B) ) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(dt_k1_closure3,axiom,
% 0.20/0.74 $true ).
% 0.20/0.74
% 0.20/0.74 fof(dt_k1_funct_1,axiom,
% 0.20/0.74 $true ).
% 0.20/0.74
% 0.20/0.74 fof(dt_k1_xboole_0,axiom,
% 0.20/0.74 $true ).
% 0.20/0.74
% 0.20/0.74 fof(dt_m1_pboole,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ( m1_pboole(B,A)
% 0.20/0.74 => ( v1_relat_1(B)
% 0.20/0.74 & v1_funct_1(B) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(dt_m1_subset_1,axiom,
% 0.20/0.74 $true ).
% 0.20/0.74
% 0.20/0.74 fof(existence_m1_pboole,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ? [B] : m1_pboole(B,A) ).
% 0.20/0.74
% 0.20/0.74 fof(existence_m1_subset_1,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ? [B] : m1_subset_1(B,A) ).
% 0.20/0.74
% 0.20/0.74 fof(fc1_xboole_0,axiom,
% 0.20/0.74 v1_xboole_0(k1_xboole_0) ).
% 0.20/0.74
% 0.20/0.74 fof(fraenkel_a_2_0_closure3,axiom,
% 0.20/0.74 ! [A,B,C] :
% 0.20/0.74 ( ( ~ v1_xboole_0(B)
% 0.20/0.74 & m1_pboole(C,B) )
% 0.20/0.74 => ( r2_hidden(A,a_2_0_closure3(B,C))
% 0.20/0.74 <=> ? [D] :
% 0.20/0.74 ( m1_subset_1(D,B)
% 0.20/0.74 & A = D
% 0.20/0.74 & k1_funct_1(C,D) != k1_xboole_0 ) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(rc1_closure2,axiom,
% 0.20/0.74 ? [A] :
% 0.20/0.74 ( v1_xboole_0(A)
% 0.20/0.74 & v1_relat_1(A)
% 0.20/0.74 & v1_funct_1(A)
% 0.20/0.74 & v2_funct_1(A)
% 0.20/0.74 & v1_finset_1(A)
% 0.20/0.74 & v1_fraenkel(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(rc1_finset_1,axiom,
% 0.20/0.74 ? [A] :
% 0.20/0.74 ( ~ v1_xboole_0(A)
% 0.20/0.74 & v1_finset_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(rc1_funct_1,axiom,
% 0.20/0.74 ? [A] :
% 0.20/0.74 ( v1_relat_1(A)
% 0.20/0.74 & v1_funct_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(rc1_xboole_0,axiom,
% 0.20/0.74 ? [A] : v1_xboole_0(A) ).
% 0.20/0.74
% 0.20/0.74 fof(rc2_funct_1,axiom,
% 0.20/0.74 ? [A] :
% 0.20/0.74 ( v1_relat_1(A)
% 0.20/0.74 & v1_xboole_0(A)
% 0.20/0.74 & v1_funct_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(rc2_xboole_0,axiom,
% 0.20/0.74 ? [A] : ~ v1_xboole_0(A) ).
% 0.20/0.74
% 0.20/0.74 fof(rc3_funct_1,axiom,
% 0.20/0.74 ? [A] :
% 0.20/0.74 ( v1_relat_1(A)
% 0.20/0.74 & v1_funct_1(A)
% 0.20/0.74 & v2_funct_1(A) ) ).
% 0.20/0.74
% 0.20/0.74 fof(t1_subset,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ( r2_hidden(A,B)
% 0.20/0.74 => m1_subset_1(A,B) ) ).
% 0.20/0.74
% 0.20/0.74 fof(t2_subset,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ( m1_subset_1(A,B)
% 0.20/0.74 => ( v1_xboole_0(B)
% 0.20/0.74 | r2_hidden(A,B) ) ) ).
% 0.20/0.74
% 0.20/0.74 fof(t2_tarski,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ( ! [C] :
% 0.20/0.74 ( r2_hidden(C,A)
% 0.20/0.74 <=> r2_hidden(C,B) )
% 0.20/0.74 => A = B ) ).
% 0.20/0.74
% 0.20/0.74 fof(t6_boole,axiom,
% 0.20/0.74 ! [A] :
% 0.20/0.74 ( v1_xboole_0(A)
% 0.20/0.74 => A = k1_xboole_0 ) ).
% 0.20/0.74
% 0.20/0.74 fof(t7_boole,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ~ ( r2_hidden(A,B)
% 0.20/0.74 & v1_xboole_0(B) ) ).
% 0.20/0.74
% 0.20/0.74 fof(t8_boole,axiom,
% 0.20/0.74 ! [A,B] :
% 0.20/0.74 ~ ( v1_xboole_0(A)
% 0.20/0.74 & A != B
% 0.20/0.74 & v1_xboole_0(B) ) ).
% 0.20/0.74
% 0.20/0.74 %------------------------------------------------------------------------------
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 % Proof found
% 0.20/0.74 % SZS status Theorem for theBenchmark
% 0.20/0.74 % SZS output start Proof
% 0.20/0.74 %ClaNum:74(EqnAxiom:28)
% 0.20/0.74 %VarNum:118(SingletonVarNum:44)
% 0.20/0.74 %MaxLitNum:6
% 0.20/0.74 %MaxfuncDepth:2
% 0.20/0.74 %SharedTerms:37
% 0.20/0.74 %goalClause: 46 47 50 53 54
% 0.20/0.74 %singleGoalClaCount:5
% 0.20/0.74 [29]P1(a1)
% 0.20/0.74 [30]P1(a2)
% 0.20/0.74 [31]P1(a3)
% 0.20/0.74 [32]P1(a5)
% 0.20/0.74 [33]P2(a2)
% 0.20/0.74 [34]P3(a2)
% 0.20/0.74 [35]P3(a15)
% 0.20/0.74 [36]P7(a2)
% 0.20/0.74 [37]P7(a16)
% 0.20/0.74 [38]P7(a5)
% 0.20/0.74 [39]P7(a6)
% 0.20/0.74 [40]P8(a2)
% 0.20/0.74 [41]P8(a16)
% 0.20/0.74 [42]P8(a5)
% 0.20/0.74 [43]P8(a6)
% 0.20/0.74 [44]P9(a2)
% 0.20/0.74 [45]P9(a6)
% 0.20/0.74 [46]P4(a8,a9)
% 0.20/0.74 [47]P5(a11,a9)
% 0.20/0.74 [50]~P1(a9)
% 0.20/0.74 [51]~P1(a15)
% 0.20/0.74 [52]~P1(a7)
% 0.20/0.74 [53]~E(f17(a8,a11),a1)
% 0.20/0.74 [54]~P6(a11,f18(a9,a8))
% 0.20/0.74 [48]P4(f12(x481),x481)
% 0.20/0.74 [49]P5(f13(x491),x491)
% 0.20/0.74 [55]~P1(x551)+E(x551,a1)
% 0.20/0.74 [56]~P1(x561)+P2(x561)
% 0.20/0.74 [57]~P1(x571)+P3(x571)
% 0.20/0.74 [58]~P1(x581)+P7(x581)
% 0.20/0.74 [61]P7(x611)+~P4(x611,x612)
% 0.20/0.74 [62]P8(x621)+~P4(x621,x622)
% 0.20/0.74 [63]~P1(x631)+~P6(x632,x631)
% 0.20/0.74 [64]~P6(x641,x642)+P5(x641,x642)
% 0.20/0.75 [66]~P6(x662,x661)+~P6(x661,x662)
% 0.20/0.75 [59]~P1(x592)+~P1(x591)+E(x591,x592)
% 0.20/0.75 [65]~P5(x652,x651)+P1(x651)+P6(x652,x651)
% 0.20/0.75 [69]E(x691,x692)+P6(f10(x691,x692),x692)+P6(f10(x691,x692),x691)
% 0.20/0.75 [71]E(x711,x712)+~P6(f10(x711,x712),x712)+~P6(f10(x711,x712),x711)
% 0.20/0.75 [60]~P1(x601)+~P7(x601)+~P8(x601)+P9(x601)
% 0.20/0.75 [67]P1(x672)+~P4(x673,x672)+~E(x671,f4(x672,x673))+E(x671,f18(x672,x673))
% 0.20/0.75 [68]P1(x682)+~P4(x683,x682)+~E(x681,f18(x682,x683))+E(x681,f4(x682,x683))
% 0.20/0.75 [72]P1(x722)+~P4(x723,x722)+~P6(x721,f4(x722,x723))+E(f14(x721,x722,x723),x721)
% 0.20/0.75 [73]~P4(x733,x731)+P1(x731)+~P6(x732,f4(x731,x733))+P5(f14(x732,x731,x733),x731)
% 0.20/0.75 [74]~P4(x742,x741)+P1(x741)+~P6(x743,f4(x741,x742))+~E(f17(x742,f14(x743,x741,x742)),a1)
% 0.20/0.75 [70]~E(x702,x704)+~P4(x701,x703)+~P5(x702,x703)+P1(x703)+P6(x704,f4(x703,x701))+E(f17(x701,x702),a1)
% 0.20/0.75 %EqnAxiom
% 0.20/0.75 [1]E(x11,x11)
% 0.20/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.75 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.20/0.75 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.20/0.75 [6]~E(x61,x62)+E(f17(x61,x63),f17(x62,x63))
% 0.20/0.75 [7]~E(x71,x72)+E(f17(x73,x71),f17(x73,x72))
% 0.20/0.75 [8]~E(x81,x82)+E(f18(x81,x83),f18(x82,x83))
% 0.20/0.75 [9]~E(x91,x92)+E(f18(x93,x91),f18(x93,x92))
% 0.20/0.75 [10]~E(x101,x102)+E(f14(x101,x103,x104),f14(x102,x103,x104))
% 0.20/0.75 [11]~E(x111,x112)+E(f14(x113,x111,x114),f14(x113,x112,x114))
% 0.20/0.75 [12]~E(x121,x122)+E(f14(x123,x124,x121),f14(x123,x124,x122))
% 0.20/0.75 [13]~E(x131,x132)+E(f4(x131,x133),f4(x132,x133))
% 0.20/0.75 [14]~E(x141,x142)+E(f4(x143,x141),f4(x143,x142))
% 0.20/0.75 [15]~E(x151,x152)+E(f10(x151,x153),f10(x152,x153))
% 0.20/0.75 [16]~E(x161,x162)+E(f10(x163,x161),f10(x163,x162))
% 0.20/0.75 [17]~P1(x171)+P1(x172)+~E(x171,x172)
% 0.20/0.75 [18]P6(x182,x183)+~E(x181,x182)+~P6(x181,x183)
% 0.20/0.75 [19]P6(x193,x192)+~E(x191,x192)+~P6(x193,x191)
% 0.20/0.75 [20]P4(x202,x203)+~E(x201,x202)+~P4(x201,x203)
% 0.20/0.75 [21]P4(x213,x212)+~E(x211,x212)+~P4(x213,x211)
% 0.20/0.75 [22]~P7(x221)+P7(x222)+~E(x221,x222)
% 0.20/0.75 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.20/0.75 [24]~P3(x241)+P3(x242)+~E(x241,x242)
% 0.20/0.75 [25]P5(x252,x253)+~E(x251,x252)+~P5(x251,x253)
% 0.20/0.75 [26]P5(x263,x262)+~E(x261,x262)+~P5(x263,x261)
% 0.20/0.75 [27]~P9(x271)+P9(x272)+~E(x271,x272)
% 0.20/0.75 [28]~P8(x281)+P8(x282)+~E(x281,x282)
% 0.20/0.75
% 0.20/0.75 %-------------------------------------------
% 0.20/0.75 cnf(75,plain,
% 0.20/0.75 (~P6(x751,a1)),
% 0.20/0.75 inference(scs_inference,[],[29,63])).
% 0.20/0.75 cnf(96,plain,
% 0.20/0.75 (~E(a1,a9)),
% 0.20/0.75 inference(scs_inference,[],[46,47,50,29,32,38,40,42,53,54,63,55,65,60,2,66,62,61,58,57,56,28,19,17])).
% 0.20/0.75 cnf(97,plain,
% 0.20/0.75 (P6(f10(a1,f17(a8,a11)),f17(a8,a11))),
% 0.20/0.75 inference(scs_inference,[],[46,47,50,29,32,38,40,42,53,54,63,55,65,60,2,66,62,61,58,57,56,28,19,17,69])).
% 0.20/0.75 cnf(101,plain,
% 0.20/0.75 (E(x1011,f4(a9,a8))+~E(x1011,f18(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[46,47,50,29,32,38,40,42,53,54,63,55,65,60,2,66,62,61,58,57,56,28,19,17,69,71,68])).
% 0.20/0.75 cnf(105,plain,
% 0.20/0.75 (P5(f14(x1051,a9,a8),a9)+~P6(x1051,f4(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[46,47,50,29,32,38,40,42,53,54,63,55,65,60,2,66,62,61,58,57,56,28,19,17,69,71,68,67,73])).
% 0.20/0.75 cnf(114,plain,
% 0.20/0.75 (E(f18(a9,a8),f4(a9,a8))),
% 0.20/0.75 inference(equality_inference,[],[101])).
% 0.20/0.75 cnf(119,plain,
% 0.20/0.75 (E(f14(x1191,x1192,f18(a9,a8)),f14(x1191,x1192,f4(a9,a8)))),
% 0.20/0.75 inference(scs_inference,[],[114,16,15,14,13,12])).
% 0.20/0.75 cnf(120,plain,
% 0.20/0.75 (E(f14(x1201,f18(a9,a8),x1202),f14(x1201,f4(a9,a8),x1202))),
% 0.20/0.75 inference(scs_inference,[],[114,16,15,14,13,12,11])).
% 0.20/0.75 cnf(129,plain,
% 0.20/0.75 (P5(f13(x1291),x1291)),
% 0.20/0.75 inference(rename_variables,[],[49])).
% 0.20/0.75 cnf(133,plain,
% 0.20/0.75 (P4(f12(x1331),x1331)),
% 0.20/0.75 inference(rename_variables,[],[48])).
% 0.20/0.75 cnf(139,plain,
% 0.20/0.75 (P6(f10(f17(a8,a11),a1),f17(a8,a11))),
% 0.20/0.75 inference(scs_inference,[],[48,133,49,129,53,114,97,75,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69])).
% 0.20/0.75 cnf(140,plain,
% 0.20/0.75 (~P6(x1401,a1)),
% 0.20/0.75 inference(rename_variables,[],[75])).
% 0.20/0.75 cnf(144,plain,
% 0.20/0.75 (E(a2,a1)),
% 0.20/0.75 inference(scs_inference,[],[30,48,133,49,129,53,114,97,75,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55])).
% 0.20/0.75 cnf(146,plain,
% 0.20/0.75 (~E(a2,a15)),
% 0.20/0.75 inference(scs_inference,[],[30,51,48,133,49,129,53,114,97,75,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55,17])).
% 0.20/0.75 cnf(147,plain,
% 0.20/0.75 (~P6(x1471,a2)),
% 0.20/0.75 inference(scs_inference,[],[30,51,48,133,49,129,53,114,97,75,140,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55,17,19])).
% 0.20/0.75 cnf(148,plain,
% 0.20/0.75 (E(f4(a9,a8),f18(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[30,51,48,133,49,129,53,114,97,75,140,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55,17,19,2])).
% 0.20/0.75 cnf(158,plain,
% 0.20/0.75 (P1(f18(a9,a8))+~P5(a11,f18(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[30,31,35,44,51,48,133,49,129,40,54,53,114,97,75,140,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55,17,19,2,27,24,28,68,67,60,65])).
% 0.20/0.75 cnf(160,plain,
% 0.20/0.75 (~E(a11,x1601)+P6(x1601,f4(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[46,30,31,35,44,51,48,133,49,129,40,54,47,53,50,114,97,75,140,16,15,14,13,12,11,10,9,8,7,6,5,4,26,25,21,20,3,64,69,66,55,17,19,2,27,24,28,68,67,60,65,70])).
% 0.20/0.75 cnf(163,plain,
% 0.20/0.75 (P6(a11,f4(a9,a8))),
% 0.20/0.75 inference(equality_inference,[],[160])).
% 0.20/0.75 cnf(175,plain,
% 0.20/0.75 (P6(f13(a7),a7)),
% 0.20/0.75 inference(scs_inference,[],[52,49,53,50,139,163,144,46,105,74,63,72,3,66,65])).
% 0.20/0.75 cnf(179,plain,
% 0.20/0.75 (~P6(x1791,a1)),
% 0.20/0.75 inference(rename_variables,[],[75])).
% 0.20/0.75 cnf(191,plain,
% 0.20/0.75 (~P5(f14(a11,a9,a8),f18(a9,a8))),
% 0.20/0.75 inference(scs_inference,[],[37,52,75,179,49,54,53,50,148,139,147,163,96,144,46,114,105,74,63,72,3,66,65,69,17,55,19,2,158,22,18,26,25])).
% 0.20/0.75 cnf(209,plain,
% 0.20/0.75 (P5(f13(x2091),x2091)),
% 0.20/0.75 inference(rename_variables,[],[49])).
% 0.20/0.75 cnf(226,plain,
% 0.20/0.75 ($false),
% 0.20/0.75 inference(scs_inference,[],[31,49,209,51,54,119,120,191,175,146,147,148,139,163,63,25,64,69,66,3,65,55,17,19]),
% 0.20/0.75 ['proof']).
% 0.20/0.75 % SZS output end Proof
% 0.20/0.75 % Total time :0.070000s
%------------------------------------------------------------------------------