TSTP Solution File: SEU124+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 16:17:36 EDT 2023
% Result : Theorem 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/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 23:50:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % File :CSE---1.6
% 0.19/0.66 % Problem :theBenchmark
% 0.19/0.66 % Transform :cnf
% 0.19/0.66 % Format :tptp:raw
% 0.19/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.66
% 0.19/0.66 % Result :Theorem 0.030000s
% 0.19/0.66 % Output :CNFRefutation 0.030000s
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 %------------------------------------------------------------------------------
% 0.19/0.66 % File : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.66 % Domain : Set theory
% 0.19/0.66 % Problem : MPTP chainy problem t7_xboole_1
% 0.19/0.66 % Version : [Urb07] axioms : Especial.
% 0.19/0.66 % English :
% 0.19/0.66
% 0.19/0.66 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.66 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.66 % Source : [Urb07]
% 0.19/0.66 % Names : chainy-t7_xboole_1 [Urb07]
% 0.19/0.66
% 0.19/0.66 % Status : Theorem
% 0.19/0.66 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.08 v6.2.0, 0.24 v6.1.0, 0.33 v6.0.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.25 v3.5.0, 0.26 v3.3.0
% 0.19/0.66 % Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% 0.19/0.66 % Number of atoms : 62 ( 13 equ)
% 0.19/0.66 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.66 % Number of connectives : 49 ( 18 ~; 1 |; 14 &)
% 0.19/0.66 % ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% 0.19/0.66 % Maximal formula depth : 9 ( 4 avg)
% 0.19/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.66 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% 0.19/0.66 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 0.19/0.66 % Number of variables : 58 ( 54 !; 4 ?)
% 0.19/0.66 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.66
% 0.19/0.66 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.66 % library, www.mizar.org
% 0.19/0.66 %------------------------------------------------------------------------------
% 0.19/0.66 fof(antisymmetry_r2_hidden,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( in(A,B)
% 0.19/0.66 => ~ in(B,A) ) ).
% 0.19/0.66
% 0.19/0.66 fof(commutativity_k2_xboole_0,axiom,
% 0.19/0.66 ! [A,B] : set_union2(A,B) = set_union2(B,A) ).
% 0.19/0.66
% 0.19/0.66 fof(commutativity_k3_xboole_0,axiom,
% 0.19/0.66 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 0.19/0.66
% 0.19/0.66 fof(d10_xboole_0,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( A = B
% 0.19/0.66 <=> ( subset(A,B)
% 0.19/0.66 & subset(B,A) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(d1_xboole_0,axiom,
% 0.19/0.66 ! [A] :
% 0.19/0.66 ( A = empty_set
% 0.19/0.66 <=> ! [B] : ~ in(B,A) ) ).
% 0.19/0.66
% 0.19/0.66 fof(d2_xboole_0,axiom,
% 0.19/0.66 ! [A,B,C] :
% 0.19/0.66 ( C = set_union2(A,B)
% 0.19/0.66 <=> ! [D] :
% 0.19/0.66 ( in(D,C)
% 0.19/0.66 <=> ( in(D,A)
% 0.19/0.66 | in(D,B) ) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(d3_tarski,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( subset(A,B)
% 0.19/0.66 <=> ! [C] :
% 0.19/0.66 ( in(C,A)
% 0.19/0.66 => in(C,B) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(d3_xboole_0,axiom,
% 0.19/0.66 ! [A,B,C] :
% 0.19/0.66 ( C = set_intersection2(A,B)
% 0.19/0.66 <=> ! [D] :
% 0.19/0.66 ( in(D,C)
% 0.19/0.66 <=> ( in(D,A)
% 0.19/0.66 & in(D,B) ) ) ) ).
% 0.19/0.66
% 0.19/0.66 fof(d7_xboole_0,axiom,
% 0.19/0.66 ! [A,B] :
% 0.19/0.66 ( disjoint(A,B)
% 0.19/0.66 <=> set_intersection2(A,B) = empty_set ) ).
% 0.19/0.66
% 0.19/0.66 fof(dt_k1_xboole_0,axiom,
% 0.19/0.66 $true ).
% 0.19/0.67
% 0.19/0.67 fof(dt_k2_xboole_0,axiom,
% 0.19/0.67 $true ).
% 0.19/0.67
% 0.19/0.67 fof(dt_k3_xboole_0,axiom,
% 0.19/0.67 $true ).
% 0.19/0.67
% 0.19/0.67 fof(fc1_xboole_0,axiom,
% 0.19/0.67 empty(empty_set) ).
% 0.19/0.67
% 0.19/0.67 fof(fc2_xboole_0,axiom,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ( ~ empty(A)
% 0.19/0.67 => ~ empty(set_union2(A,B)) ) ).
% 0.19/0.67
% 0.19/0.67 fof(fc3_xboole_0,axiom,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ( ~ empty(A)
% 0.19/0.67 => ~ empty(set_union2(B,A)) ) ).
% 0.19/0.67
% 0.19/0.67 fof(idempotence_k2_xboole_0,axiom,
% 0.19/0.67 ! [A,B] : set_union2(A,A) = A ).
% 0.19/0.67
% 0.19/0.67 fof(idempotence_k3_xboole_0,axiom,
% 0.19/0.67 ! [A,B] : set_intersection2(A,A) = A ).
% 0.19/0.67
% 0.19/0.67 fof(rc1_xboole_0,axiom,
% 0.19/0.67 ? [A] : empty(A) ).
% 0.19/0.67
% 0.19/0.67 fof(rc2_xboole_0,axiom,
% 0.19/0.67 ? [A] : ~ empty(A) ).
% 0.19/0.67
% 0.19/0.67 fof(reflexivity_r1_tarski,axiom,
% 0.19/0.67 ! [A,B] : subset(A,A) ).
% 0.19/0.67
% 0.19/0.67 fof(symmetry_r1_xboole_0,axiom,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ( disjoint(A,B)
% 0.19/0.67 => disjoint(B,A) ) ).
% 0.19/0.67
% 0.19/0.67 fof(t1_boole,axiom,
% 0.19/0.67 ! [A] : set_union2(A,empty_set) = A ).
% 0.19/0.67
% 0.19/0.67 fof(t1_xboole_1,lemma,
% 0.19/0.67 ! [A,B,C] :
% 0.19/0.67 ( ( subset(A,B)
% 0.19/0.67 & subset(B,C) )
% 0.19/0.67 => subset(A,C) ) ).
% 0.19/0.67
% 0.19/0.67 fof(t2_xboole_1,lemma,
% 0.19/0.67 ! [A] : subset(empty_set,A) ).
% 0.19/0.67
% 0.19/0.67 fof(t3_xboole_0,lemma,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ( ~ ( ~ disjoint(A,B)
% 0.19/0.67 & ! [C] :
% 0.19/0.67 ~ ( in(C,A)
% 0.19/0.67 & in(C,B) ) )
% 0.19/0.67 & ~ ( ? [C] :
% 0.19/0.67 ( in(C,A)
% 0.19/0.67 & in(C,B) )
% 0.19/0.67 & disjoint(A,B) ) ) ).
% 0.19/0.67
% 0.19/0.67 fof(t3_xboole_1,lemma,
% 0.19/0.67 ! [A] :
% 0.19/0.67 ( subset(A,empty_set)
% 0.19/0.67 => A = empty_set ) ).
% 0.19/0.67
% 0.19/0.67 fof(t4_xboole_0,lemma,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ( ~ ( ~ disjoint(A,B)
% 0.19/0.67 & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 0.19/0.67 & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 0.19/0.67 & disjoint(A,B) ) ) ).
% 0.19/0.67
% 0.19/0.67 fof(t6_boole,axiom,
% 0.19/0.67 ! [A] :
% 0.19/0.67 ( empty(A)
% 0.19/0.67 => A = empty_set ) ).
% 0.19/0.67
% 0.19/0.67 fof(t7_boole,axiom,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ~ ( in(A,B)
% 0.19/0.67 & empty(B) ) ).
% 0.19/0.67
% 0.19/0.67 fof(t7_xboole_1,conjecture,
% 0.19/0.67 ! [A,B] : subset(A,set_union2(A,B)) ).
% 0.19/0.67
% 0.19/0.67 fof(t8_boole,axiom,
% 0.19/0.67 ! [A,B] :
% 0.19/0.67 ~ ( empty(A)
% 0.19/0.67 & A != B
% 0.19/0.67 & empty(B) ) ).
% 0.19/0.67
% 0.19/0.67 %------------------------------------------------------------------------------
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % Proof found
% 0.19/0.67 % SZS status Theorem for theBenchmark
% 0.19/0.67 % SZS output start Proof
% 0.19/0.67 %ClaNum:74(EqnAxiom:27)
% 0.19/0.67 %VarNum:237(SingletonVarNum:98)
% 0.19/0.67 %MaxLitNum:4
% 0.19/0.67 %MaxfuncDepth:1
% 0.19/0.67 %SharedTerms:10
% 0.19/0.67 %goalClause: 38
% 0.19/0.67 %singleGoalClaCount:1
% 0.19/0.67 [28]P1(a1)
% 0.19/0.67 [29]P1(a2)
% 0.19/0.67 [37]~P1(a10)
% 0.19/0.67 [38]~P3(a11,f8(a11,a3))
% 0.19/0.67 [30]P3(a1,x301)
% 0.19/0.67 [32]P3(x321,x321)
% 0.19/0.67 [31]E(f8(x311,a1),x311)
% 0.19/0.67 [33]E(f8(x331,x331),x331)
% 0.19/0.67 [34]E(f9(x341,x341),x341)
% 0.19/0.67 [35]E(f8(x351,x352),f8(x352,x351))
% 0.19/0.67 [36]E(f9(x361,x362),f9(x362,x361))
% 0.19/0.67 [39]~P1(x391)+E(x391,a1)
% 0.19/0.67 [43]~P3(x431,a1)+E(x431,a1)
% 0.19/0.67 [44]P4(f4(x441),x441)+E(x441,a1)
% 0.19/0.67 [42]~E(x421,x422)+P3(x421,x422)
% 0.19/0.67 [45]~P4(x452,x451)+~E(x451,a1)
% 0.19/0.67 [46]~P1(x461)+~P4(x462,x461)
% 0.19/0.67 [49]~P2(x492,x491)+P2(x491,x492)
% 0.19/0.67 [50]~P4(x502,x501)+~P4(x501,x502)
% 0.19/0.67 [47]~P2(x471,x472)+E(f9(x471,x472),a1)
% 0.19/0.67 [48]P2(x481,x482)+~E(f9(x481,x482),a1)
% 0.19/0.67 [52]P1(x521)+~P1(f8(x522,x521))
% 0.19/0.67 [53]P1(x531)+~P1(f8(x531,x532))
% 0.19/0.67 [54]P3(x541,x542)+P4(f5(x541,x542),x541)
% 0.19/0.67 [55]P2(x551,x552)+P4(f12(x551,x552),x552)
% 0.19/0.67 [56]P2(x561,x562)+P4(f12(x561,x562),x561)
% 0.19/0.67 [65]P3(x651,x652)+~P4(f5(x651,x652),x652)
% 0.19/0.67 [66]P2(x661,x662)+P4(f13(x661,x662),f9(x661,x662))
% 0.19/0.67 [68]~P2(x681,x682)+~P4(x683,f9(x681,x682))
% 0.19/0.67 [40]~P1(x402)+~P1(x401)+E(x401,x402)
% 0.19/0.67 [51]~P3(x512,x511)+~P3(x511,x512)+E(x511,x512)
% 0.19/0.67 [57]~P3(x573,x572)+P4(x571,x572)+~P4(x571,x573)
% 0.19/0.67 [58]~P3(x581,x583)+P3(x581,x582)+~P3(x583,x582)
% 0.19/0.67 [63]~P2(x633,x632)+~P4(x631,x632)+~P4(x631,x633)
% 0.19/0.67 [69]P4(f7(x692,x693,x691),x691)+P4(f7(x692,x693,x691),x693)+E(x691,f9(x692,x693))
% 0.19/0.67 [70]P4(f7(x702,x703,x701),x701)+P4(f7(x702,x703,x701),x702)+E(x701,f9(x702,x703))
% 0.19/0.67 [72]~P4(f6(x722,x723,x721),x721)+~P4(f6(x722,x723,x721),x723)+E(x721,f8(x722,x723))
% 0.19/0.67 [73]~P4(f6(x732,x733,x731),x731)+~P4(f6(x732,x733,x731),x732)+E(x731,f8(x732,x733))
% 0.19/0.67 [59]~P4(x591,x594)+P4(x591,x592)+~E(x592,f8(x593,x594))
% 0.19/0.67 [60]~P4(x601,x603)+P4(x601,x602)+~E(x602,f8(x603,x604))
% 0.19/0.67 [61]~P4(x611,x613)+P4(x611,x612)+~E(x613,f9(x614,x612))
% 0.19/0.67 [62]~P4(x621,x623)+P4(x621,x622)+~E(x623,f9(x622,x624))
% 0.19/0.67 [71]P4(f6(x712,x713,x711),x711)+P4(f6(x712,x713,x711),x713)+P4(f6(x712,x713,x711),x712)+E(x711,f8(x712,x713))
% 0.19/0.67 [74]~P4(f7(x742,x743,x741),x741)+~P4(f7(x742,x743,x741),x743)+~P4(f7(x742,x743,x741),x742)+E(x741,f9(x742,x743))
% 0.19/0.67 [64]~P4(x641,x644)+P4(x641,x642)+P4(x641,x643)+~E(x644,f8(x643,x642))
% 0.19/0.67 [67]~P4(x671,x674)+~P4(x671,x673)+P4(x671,x672)+~E(x672,f9(x673,x674))
% 0.19/0.67 %EqnAxiom
% 0.19/0.67 [1]E(x11,x11)
% 0.19/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.67 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 0.19/0.67 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 0.19/0.67 [6]~E(x61,x62)+E(f7(x61,x63,x64),f7(x62,x63,x64))
% 0.19/0.67 [7]~E(x71,x72)+E(f7(x73,x71,x74),f7(x73,x72,x74))
% 0.19/0.67 [8]~E(x81,x82)+E(f7(x83,x84,x81),f7(x83,x84,x82))
% 0.19/0.67 [9]~E(x91,x92)+E(f9(x91,x93),f9(x92,x93))
% 0.19/0.67 [10]~E(x101,x102)+E(f9(x103,x101),f9(x103,x102))
% 0.19/0.67 [11]~E(x111,x112)+E(f6(x111,x113,x114),f6(x112,x113,x114))
% 0.19/0.67 [12]~E(x121,x122)+E(f6(x123,x121,x124),f6(x123,x122,x124))
% 0.19/0.67 [13]~E(x131,x132)+E(f6(x133,x134,x131),f6(x133,x134,x132))
% 0.19/0.67 [14]~E(x141,x142)+E(f12(x141,x143),f12(x142,x143))
% 0.19/0.67 [15]~E(x151,x152)+E(f12(x153,x151),f12(x153,x152))
% 0.19/0.67 [16]~E(x161,x162)+E(f13(x161,x163),f13(x162,x163))
% 0.19/0.67 [17]~E(x171,x172)+E(f13(x173,x171),f13(x173,x172))
% 0.19/0.67 [18]~E(x181,x182)+E(f5(x181,x183),f5(x182,x183))
% 0.19/0.67 [19]~E(x191,x192)+E(f5(x193,x191),f5(x193,x192))
% 0.19/0.67 [20]~E(x201,x202)+E(f4(x201),f4(x202))
% 0.19/0.67 [21]~P1(x211)+P1(x212)+~E(x211,x212)
% 0.19/0.67 [22]P4(x222,x223)+~E(x221,x222)+~P4(x221,x223)
% 0.19/0.67 [23]P4(x233,x232)+~E(x231,x232)+~P4(x233,x231)
% 0.19/0.67 [24]P3(x242,x243)+~E(x241,x242)+~P3(x241,x243)
% 0.19/0.67 [25]P3(x253,x252)+~E(x251,x252)+~P3(x253,x251)
% 0.19/0.67 [26]P2(x262,x263)+~E(x261,x262)+~P2(x261,x263)
% 0.19/0.67 [27]P2(x273,x272)+~E(x271,x272)+~P2(x273,x271)
% 0.19/0.67
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 cnf(75,plain,
% 0.19/0.67 (E(x751,f8(x751,x751))),
% 0.19/0.67 inference(scs_inference,[],[33,2])).
% 0.19/0.67 cnf(79,plain,
% 0.19/0.67 (E(f8(x791,x791),x791)),
% 0.19/0.67 inference(rename_variables,[],[33])).
% 0.19/0.67 cnf(92,plain,
% 0.19/0.67 (E(f9(x921,x921),x921)),
% 0.19/0.67 inference(rename_variables,[],[34])).
% 0.19/0.67 cnf(94,plain,
% 0.19/0.67 (E(f8(x941,x941),x941)),
% 0.19/0.67 inference(rename_variables,[],[33])).
% 0.19/0.67 cnf(95,plain,
% 0.19/0.67 (E(f9(x951,x951),x951)),
% 0.19/0.67 inference(rename_variables,[],[34])).
% 0.19/0.67 cnf(97,plain,
% 0.19/0.67 (E(f8(x971,x971),x971)),
% 0.19/0.67 inference(rename_variables,[],[33])).
% 0.19/0.67 cnf(99,plain,
% 0.19/0.67 (~P4(f12(a1,x991),f8(f9(x992,a1),f9(x992,a1)))),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,37,33,79,94,97,34,92,2,46,45,42,56,55,27,26,24,21,3,62,61])).
% 0.19/0.67 cnf(100,plain,
% 0.19/0.67 (E(f8(x1001,x1001),x1001)),
% 0.19/0.67 inference(rename_variables,[],[33])).
% 0.19/0.67 cnf(105,plain,
% 0.19/0.67 (E(f8(x1051,x1051),x1051)),
% 0.19/0.67 inference(rename_variables,[],[33])).
% 0.19/0.67 cnf(107,plain,
% 0.19/0.67 (P4(f6(a11,a3,a11),a3)),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,37,33,79,94,97,100,34,92,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71])).
% 0.19/0.67 cnf(134,plain,
% 0.19/0.67 (~P4(x1341,f9(a1,x1342))),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,29,37,33,79,94,97,100,105,34,92,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71,50,39,53,52,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68])).
% 0.19/0.67 cnf(136,plain,
% 0.19/0.67 (~P4(f5(a11,f8(a11,a3)),f8(a11,a3))),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,29,37,33,79,94,97,100,105,34,92,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71,50,39,53,52,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65])).
% 0.19/0.67 cnf(138,plain,
% 0.19/0.67 (P4(f5(a11,f8(a11,a3)),a11)),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,29,37,33,79,94,97,100,105,34,92,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71,50,39,53,52,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,54])).
% 0.19/0.67 cnf(144,plain,
% 0.19/0.67 (E(f9(x1441,x1441),x1441)),
% 0.19/0.67 inference(rename_variables,[],[34])).
% 0.19/0.67 cnf(147,plain,
% 0.19/0.67 (~E(a11,f8(a3,x1471))),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,29,37,33,79,94,97,100,105,34,92,95,144,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71,50,39,53,52,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,54,47,25,23,22,60])).
% 0.19/0.67 cnf(155,plain,
% 0.19/0.67 (~P2(a3,a3)),
% 0.19/0.67 inference(scs_inference,[],[38,32,28,29,37,33,79,94,97,100,105,34,92,95,144,2,46,45,42,56,55,27,26,24,21,3,62,61,73,64,71,50,39,53,52,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,68,65,54,47,25,23,22,60,59,70,67,63])).
% 0.19/0.67 cnf(168,plain,
% 0.19/0.67 (~P4(x1681,f9(a1,x1682))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(171,plain,
% 0.19/0.67 (~P4(x1711,f9(a1,x1712))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(172,plain,
% 0.19/0.67 (~P4(x1721,f9(a1,x1722))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(175,plain,
% 0.19/0.67 (E(f8(x1751,x1752),f8(x1752,x1751))),
% 0.19/0.67 inference(rename_variables,[],[35])).
% 0.19/0.67 cnf(185,plain,
% 0.19/0.67 (~P4(x1851,f9(a1,x1852))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(188,plain,
% 0.19/0.67 (E(f8(x1881,a1),x1881)),
% 0.19/0.67 inference(rename_variables,[],[31])).
% 0.19/0.67 cnf(191,plain,
% 0.19/0.67 (~P4(x1911,f9(a1,x1912))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(194,plain,
% 0.19/0.67 (~P4(x1941,f9(a1,x1942))),
% 0.19/0.67 inference(rename_variables,[],[134])).
% 0.19/0.67 cnf(207,plain,
% 0.19/0.67 ($false),
% 0.19/0.67 inference(scs_inference,[],[38,31,188,35,175,28,34,37,75,134,168,172,185,191,194,171,99,136,107,138,147,155,66,48,45,55,61,64,60,2,50,46,39,54,26,21,62,70,71,42,27,24,22,59]),
% 0.19/0.67 ['proof']).
% 0.19/0.67 % SZS output end Proof
% 0.19/0.67 % Total time :0.030000s
%------------------------------------------------------------------------------