TSTP Solution File: SET958+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET958+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 : n031.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 14:31:49 EDT 2023
% Result : Theorem 120.82s 121.12s
% Output : CNFRefutation 120.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:30:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 120.82/121.10 %-------------------------------------------
% 120.82/121.10 % File :CSE---1.6
% 120.82/121.10 % Problem :theBenchmark
% 120.82/121.10 % Transform :cnf
% 120.82/121.10 % Format :tptp:raw
% 120.82/121.10 % Command :java -jar mcs_scs.jar %d %s
% 120.82/121.10
% 120.82/121.10 % Result :Theorem 120.340000s
% 120.82/121.10 % Output :CNFRefutation 120.340000s
% 120.82/121.10 %-------------------------------------------
% 120.82/121.11 %------------------------------------------------------------------------------
% 120.82/121.11 % File : SET958+1 : TPTP v8.1.2. Released v3.2.0.
% 120.82/121.11 % Domain : Set theory
% 120.82/121.11 % Problem : Basic properties of sets, theorem 111
% 120.82/121.11 % Version : [Urb06] axioms : Especial.
% 120.82/121.11 % English :
% 120.82/121.11
% 120.82/121.11 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 120.82/121.11 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 120.82/121.11 % Source : [Urb06]
% 120.82/121.11 % Names : zfmisc_1__t111_zfmisc_1 [Urb06]
% 120.82/121.11
% 120.82/121.11 % Status : Theorem
% 120.82/121.11 % Rating : 0.17 v8.1.0, 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, 0.13 v6.4.0, 0.19 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.09 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.12 v4.1.0, 0.17 v3.7.0, 0.05 v3.5.0, 0.11 v3.4.0, 0.26 v3.3.0, 0.21 v3.2.0
% 120.82/121.11 % Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% 120.82/121.11 % Number of atoms : 16 ( 3 equ)
% 120.82/121.11 % Maximal formula atoms : 5 ( 1 avg)
% 120.82/121.11 % Number of connectives : 12 ( 5 ~; 0 |; 2 &)
% 120.82/121.11 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 120.82/121.11 % Maximal formula depth : 11 ( 4 avg)
% 120.82/121.11 % Maximal term depth : 3 ( 1 avg)
% 120.82/121.11 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 120.82/121.11 % Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% 120.82/121.11 % Number of variables : 22 ( 20 !; 2 ?)
% 120.82/121.11 % SPC : FOF_THM_RFO_SEQ
% 120.82/121.11
% 120.82/121.11 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 120.82/121.11 % library, www.mizar.org
% 120.82/121.11 %------------------------------------------------------------------------------
% 120.82/121.11 fof(antisymmetry_r2_hidden,axiom,
% 120.82/121.11 ! [A,B] :
% 120.82/121.11 ( in(A,B)
% 120.82/121.11 => ~ in(B,A) ) ).
% 120.82/121.11
% 120.82/121.11 fof(commutativity_k2_tarski,axiom,
% 120.82/121.11 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 120.82/121.11
% 120.82/121.11 fof(d3_tarski,axiom,
% 120.82/121.11 ! [A,B] :
% 120.82/121.11 ( subset(A,B)
% 120.82/121.11 <=> ! [C] :
% 120.82/121.11 ( in(C,A)
% 120.82/121.11 => in(C,B) ) ) ).
% 120.82/121.11
% 120.82/121.11 fof(d5_tarski,axiom,
% 120.82/121.11 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ).
% 120.82/121.11
% 120.82/121.11 fof(fc1_zfmisc_1,axiom,
% 120.82/121.11 ! [A,B] : ~ empty(ordered_pair(A,B)) ).
% 120.82/121.11
% 120.82/121.11 fof(rc1_xboole_0,axiom,
% 120.82/121.11 ? [A] : empty(A) ).
% 120.82/121.11
% 120.82/121.11 fof(rc2_xboole_0,axiom,
% 120.82/121.11 ? [A] : ~ empty(A) ).
% 120.82/121.11
% 120.82/121.11 fof(reflexivity_r1_tarski,axiom,
% 120.82/121.11 ! [A,B] : subset(A,A) ).
% 120.82/121.11
% 120.82/121.11 fof(t111_zfmisc_1,conjecture,
% 120.82/121.11 ! [A,B] :
% 120.82/121.11 ( ( ! [C] :
% 120.82/121.11 ~ ( in(C,A)
% 120.82/121.11 & ! [D,E] : C != ordered_pair(D,E) )
% 120.82/121.11 & ! [C,D] :
% 120.82/121.11 ( in(ordered_pair(C,D),A)
% 120.82/121.11 => in(ordered_pair(C,D),B) ) )
% 120.82/121.11 => subset(A,B) ) ).
% 120.82/121.11
% 120.82/121.11 %------------------------------------------------------------------------------
% 120.82/121.11 %-------------------------------------------
% 120.82/121.11 % Proof found
% 120.82/121.12 % SZS status Theorem for theBenchmark
% 120.82/121.12 % SZS output start Proof
% 120.82/121.12 %ClaNum:27(EqnAxiom:15)
% 120.82/121.12 %VarNum:40(SingletonVarNum:17)
% 120.82/121.12 %MaxLitNum:3
% 120.82/121.12 %MaxfuncDepth:3
% 120.82/121.12 %SharedTerms:7
% 120.82/121.12 %goalClause: 20 26 27
% 120.82/121.12 %singleGoalClaCount:1
% 120.82/121.12 [16]P1(a1)
% 120.82/121.12 [19]~P1(a4)
% 120.82/121.12 [20]~P2(a5,a6)
% 120.82/121.12 [17]P2(x171,x171)
% 120.82/121.12 [18]E(f3(x181,x182),f3(x182,x181))
% 120.82/121.12 [21]~P1(f3(f3(x211,x212),f7(x211)))
% 120.82/121.12 [26]~P3(x261,a5)+E(f3(f3(f8(x261),f9(x261)),f7(f8(x261))),x261)
% 120.82/121.12 [22]~P3(x222,x221)+~P3(x221,x222)
% 120.82/121.12 [23]P2(x231,x232)+P3(f2(x231,x232),x231)
% 120.82/121.12 [25]P2(x251,x252)+~P3(f2(x251,x252),x252)
% 120.82/121.12 [27]P3(f3(f3(x271,x272),f7(x271)),a6)+~P3(f3(f3(x271,x272),f7(x271)),a5)
% 120.82/121.12 [24]~P2(x243,x242)+P3(x241,x242)+~P3(x241,x243)
% 120.82/121.12 %EqnAxiom
% 120.82/121.12 [1]E(x11,x11)
% 120.82/121.12 [2]E(x22,x21)+~E(x21,x22)
% 120.82/121.12 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.82/121.12 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 120.82/121.12 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 120.82/121.12 [6]~E(x61,x62)+E(f7(x61),f7(x62))
% 120.82/121.12 [7]~E(x71,x72)+E(f8(x71),f8(x72))
% 120.82/121.12 [8]~E(x81,x82)+E(f9(x81),f9(x82))
% 120.82/121.12 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 120.82/121.12 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 120.82/121.12 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 120.82/121.12 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 120.82/121.12 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 120.82/121.12 [14]P3(x142,x143)+~E(x141,x142)+~P3(x141,x143)
% 120.82/121.12 [15]P3(x153,x152)+~E(x151,x152)+~P3(x153,x151)
% 120.82/121.12
% 120.82/121.12 %-------------------------------------------
% 120.82/121.13 cnf(28,plain,
% 120.82/121.13 (~E(a5,a6)),
% 120.82/121.13 inference(scs_inference,[],[20,17,13])).
% 120.82/121.13 cnf(29,plain,
% 120.82/121.13 (P2(x291,x291)),
% 120.82/121.13 inference(rename_variables,[],[17])).
% 120.82/121.13 cnf(32,plain,
% 120.82/121.13 (~P1(f3(f7(x321),f3(x321,x322)))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,21,13,12,11])).
% 120.82/121.13 cnf(33,plain,
% 120.82/121.13 (E(f3(x331,x332),f3(x332,x331))),
% 120.82/121.13 inference(rename_variables,[],[18])).
% 120.82/121.13 cnf(34,plain,
% 120.82/121.13 (E(f2(x341,f3(x342,x343)),f2(x341,f3(x343,x342)))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10])).
% 120.82/121.13 cnf(35,plain,
% 120.82/121.13 (E(f2(f3(x351,x352),x353),f2(f3(x352,x351),x353))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9])).
% 120.82/121.13 cnf(36,plain,
% 120.82/121.13 (E(f9(f3(x361,x362)),f9(f3(x362,x361)))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8])).
% 120.82/121.13 cnf(38,plain,
% 120.82/121.13 (E(f7(f3(x381,x382)),f7(f3(x382,x381)))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6])).
% 120.82/121.13 cnf(39,plain,
% 120.82/121.13 (E(f3(x391,f3(x392,x393)),f3(x391,f3(x393,x392)))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5])).
% 120.82/121.13 cnf(40,plain,
% 120.82/121.13 (E(f3(f3(x401,x402),x403),f3(f3(x402,x401),x403))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5,4])).
% 120.82/121.13 cnf(43,plain,
% 120.82/121.13 (P3(f2(a5,a6),a5)),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5,4,25,23])).
% 120.82/121.13 cnf(45,plain,
% 120.82/121.13 (~P3(x451,a6)+~E(x451,f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5,4,25,23,14])).
% 120.82/121.13 cnf(46,plain,
% 120.82/121.13 (~P3(a5,f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5,4,25,23,14,22])).
% 120.82/121.13 cnf(48,plain,
% 120.82/121.13 (~P3(x481,f3(x482,x483))+P3(x481,f3(x483,x482))),
% 120.82/121.13 inference(scs_inference,[],[20,17,29,18,33,21,13,12,11,10,9,8,7,6,5,4,25,23,14,22,15])).
% 120.82/121.13 cnf(54,plain,
% 120.82/121.13 (P2(f3(x541,x542),f3(x542,x541))),
% 120.82/121.13 inference(scs_inference,[],[16,19,17,18,28,11,3,13])).
% 120.82/121.13 cnf(55,plain,
% 120.82/121.13 (P2(x551,x551)),
% 120.82/121.13 inference(rename_variables,[],[17])).
% 120.82/121.13 cnf(56,plain,
% 120.82/121.13 (P2(f2(x561,f3(x562,x563)),f2(x561,f3(x563,x562)))),
% 120.82/121.13 inference(scs_inference,[],[16,19,17,55,18,34,28,11,3,13,12])).
% 120.82/121.13 cnf(59,plain,
% 120.82/121.13 (~P3(f3(x591,x592),x593)+P3(f3(x592,x591),x593)),
% 120.82/121.13 inference(scs_inference,[],[16,19,17,55,18,34,28,11,3,13,12,2,14])).
% 120.82/121.13 cnf(60,plain,
% 120.82/121.13 (P3(x601,a5)+~E(f2(a5,a6),x601)),
% 120.82/121.13 inference(scs_inference,[],[43,14])).
% 120.82/121.13 cnf(61,plain,
% 120.82/121.13 (~P3(x611,f2(x612,f3(x613,x614)))+P3(x611,f2(x612,f3(x614,x613)))),
% 120.82/121.13 inference(scs_inference,[],[56,43,14,24])).
% 120.82/121.13 cnf(76,plain,
% 120.82/121.13 (~P1(f3(f7(x761),f3(x762,x761)))),
% 120.82/121.13 inference(scs_inference,[],[32,36,39,15,11])).
% 120.82/121.13 cnf(84,plain,
% 120.82/121.13 (~E(a1,f3(f7(x841),f3(x841,x842)))),
% 120.82/121.13 inference(scs_inference,[],[32,16,11])).
% 120.82/121.13 cnf(86,plain,
% 120.82/121.13 (~P1(f3(f3(x861,x862),f7(x862)))),
% 120.82/121.13 inference(scs_inference,[],[18,76,11])).
% 120.82/121.13 cnf(88,plain,
% 120.82/121.13 (~P3(a5,x881)+~E(x881,f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[18,76,46,11,15])).
% 120.82/121.13 cnf(89,plain,
% 120.82/121.13 (~E(f2(a5,a6),a5)+~E(a5,f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[18,76,43,46,11,15,14])).
% 120.82/121.13 cnf(92,plain,
% 120.82/121.13 (P2(f3(f3(x921,x922),x923),f3(x923,f3(x922,x921)))),
% 120.82/121.13 inference(scs_inference,[],[54,40,12])).
% 120.82/121.13 cnf(93,plain,
% 120.82/121.13 (P2(f3(x931,x932),f3(x932,x931))),
% 120.82/121.13 inference(rename_variables,[],[54])).
% 120.82/121.13 cnf(94,plain,
% 120.82/121.13 (P2(f3(x941,f3(x942,x943)),f3(f3(x943,x942),x941))),
% 120.82/121.13 inference(scs_inference,[],[54,93,40,12,13])).
% 120.82/121.13 cnf(98,plain,
% 120.82/121.13 (~P3(x981,f3(f3(x982,x983),x984))+P3(x981,f3(x984,f3(x983,x982)))),
% 120.82/121.13 inference(scs_inference,[],[84,54,93,40,39,12,13,3,24])).
% 120.82/121.13 cnf(116,plain,
% 120.82/121.13 (~E(a1,f3(f3(x1161,x1162),f7(x1161)))),
% 120.82/121.13 inference(scs_inference,[],[21,16,11])).
% 120.82/121.13 cnf(120,plain,
% 120.82/121.13 (P2(f2(f3(x1201,x1202),f3(x1203,x1204)),f2(f3(x1202,x1201),f3(x1204,x1203)))),
% 120.82/121.13 inference(scs_inference,[],[35,116,56,2,26,12])).
% 120.82/121.13 cnf(130,plain,
% 120.82/121.13 (~P3(f2(x1301,f3(x1302,x1303)),x1304)+P3(f2(x1301,f3(x1303,x1302)),x1304)),
% 120.82/121.13 inference(scs_inference,[],[34,86,16,11,14])).
% 120.82/121.13 cnf(134,plain,
% 120.82/121.13 (~P3(x1341,f2(f3(x1342,x1343),x1344))+P3(x1341,f2(f3(x1343,x1342),x1344))),
% 120.82/121.13 inference(scs_inference,[],[35,94,39,13,15])).
% 120.82/121.13 cnf(135,plain,
% 120.82/121.13 (~P3(f2(x1351,f3(x1352,x1353)),f2(f3(x1354,x1355),x1356))+P3(f2(x1351,f3(x1353,x1352)),f2(f3(x1355,x1354),x1356))),
% 120.82/121.13 inference(scs_inference,[],[35,94,39,13,15,130])).
% 120.82/121.13 cnf(170,plain,
% 120.82/121.13 (P2(f3(f3(x1701,x1702),x1703),f3(f3(x1702,x1701),x1703))),
% 120.82/121.13 inference(scs_inference,[],[92,18,13])).
% 120.82/121.13 cnf(192,plain,
% 120.82/121.13 (~P3(f3(x1921,f3(x1922,x1923)),x1924)+P3(f3(x1921,f3(x1923,x1922)),x1924)),
% 120.82/121.13 inference(scs_inference,[],[39,14])).
% 120.82/121.13 cnf(193,plain,
% 120.82/121.13 (~E(f2(a5,a6),a5)),
% 120.82/121.13 inference(scs_inference,[],[89,2])).
% 120.82/121.13 cnf(194,plain,
% 120.82/121.13 (~E(a5,f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[193,2])).
% 120.82/121.13 cnf(199,plain,
% 120.82/121.13 (~E(x1991,f2(a5,a6))+~E(a5,x1991)),
% 120.82/121.13 inference(scs_inference,[],[194,3])).
% 120.82/121.13 cnf(201,plain,
% 120.82/121.13 (~P3(x2011,f3(x2012,f3(x2013,x2014)))+P3(x2011,f3(x2012,f3(x2014,x2013)))),
% 120.82/121.13 inference(scs_inference,[],[39,194,36,3,11,15])).
% 120.82/121.13 cnf(202,plain,
% 120.82/121.13 (~E(a5,f3(f3(f8(f2(a5,a6)),f9(f2(a5,a6))),f7(f8(f2(a5,a6)))))),
% 120.82/121.13 inference(scs_inference,[],[43,199,26])).
% 120.82/121.13 cnf(208,plain,
% 120.82/121.13 (~P3(x2081,f3(f3(x2082,x2083),x2084))+P3(x2081,f3(f3(x2083,x2082),x2084))),
% 120.82/121.13 inference(scs_inference,[],[170,24])).
% 120.82/121.13 cnf(216,plain,
% 120.82/121.13 (P2(f3(x2161,f3(x2162,x2163)),f3(x2161,f3(x2163,x2162)))),
% 120.82/121.13 inference(scs_inference,[],[92,18,12])).
% 120.82/121.13 cnf(219,plain,
% 120.82/121.13 (~P3(f3(f3(x2191,x2192),x2193),x2194)+P3(f3(f3(x2192,x2191),x2193),x2194)),
% 120.82/121.13 inference(scs_inference,[],[40,14])).
% 120.82/121.13 cnf(222,plain,
% 120.82/121.13 (~P3(x2221,f3(x2222,f3(x2223,x2224)))+P3(x2221,f3(f3(x2224,x2223),x2222))),
% 120.82/121.13 inference(scs_inference,[],[94,24])).
% 120.82/121.13 cnf(231,plain,
% 120.82/121.13 (~P3(x2311,f2(f3(x2312,x2313),f3(x2314,x2315)))+P3(x2311,f2(f3(x2313,x2312),f3(x2315,x2314)))),
% 120.82/121.13 inference(scs_inference,[],[120,24])).
% 120.82/121.13 cnf(245,plain,
% 120.82/121.13 (~P3(a5,f3(f3(x2451,x2452),x2453))+~E(f3(f3(x2452,x2451),x2453),f2(a5,a6))),
% 120.82/121.13 inference(scs_inference,[],[208,88])).
% 120.82/121.13 cnf(248,plain,
% 120.82/121.13 (~P3(f3(f3(x2481,x2482),f7(x2482)),a5)+P3(f3(f3(x2482,x2481),f7(x2482)),a6)),
% 120.82/121.13 inference(scs_inference,[],[219,27])).
% 120.82/121.13 cnf(307,plain,
% 120.82/121.13 (~P3(a5,f3(f3(f9(f2(a5,a6)),f8(f2(a5,a6))),f7(f8(f2(a5,a6)))))),
% 120.82/121.13 inference(scs_inference,[],[43,245,26])).
% 120.82/121.13 cnf(308,plain,
% 120.82/121.13 (~P3(a6,f3(f3(x3081,x3082),f7(x3081)))+~P3(f3(f3(x3082,x3081),f7(x3081)),a5)),
% 120.82/121.13 inference(scs_inference,[],[248,22])).
% 120.82/121.13 cnf(312,plain,
% 120.82/121.13 (~P3(f3(f7(x3121),f3(x3122,x3121)),a5)+~P3(a6,f3(f3(x3121,x3122),f7(x3121)))),
% 120.82/121.13 inference(scs_inference,[],[308,59])).
% 120.82/121.13 cnf(315,plain,
% 120.82/121.13 (~P3(a6,f3(f7(x3151),f3(x3151,x3152)))+~P3(f3(f7(x3151),f3(x3152,x3151)),a5)),
% 120.82/121.13 inference(scs_inference,[],[312,48])).
% 120.82/121.13 cnf(317,plain,
% 120.82/121.13 (~E(f2(a5,a6),f3(f7(x3171),f3(x3172,x3171)))+~P3(a6,f3(f7(x3171),f3(x3171,x3172)))),
% 120.82/121.13 inference(scs_inference,[],[315,60])).
% 120.82/121.13 cnf(329,plain,
% 120.82/121.13 (~E(f3(f7(x3291),f3(x3292,x3291)),f2(a5,a6))+~P3(a6,f3(f7(x3291),f3(x3291,x3292)))),
% 120.82/121.13 inference(scs_inference,[],[317,2])).
% 120.82/121.13 cnf(337,plain,
% 120.82/121.13 (~E(f3(f3(x3371,x3372),f7(x3372)),f2(a5,a6))+~P3(a6,f3(f7(x3372),f3(x3372,x3371)))),
% 120.82/121.13 inference(scs_inference,[],[18,329,3])).
% 120.82/121.13 cnf(341,plain,
% 120.82/121.13 (~E(f2(a5,a6),f3(f3(x3411,x3412),f7(x3412)))+~P3(a6,f3(f7(x3412),f3(x3412,x3411)))),
% 120.82/121.13 inference(scs_inference,[],[337,2])).
% 120.82/121.13 cnf(344,plain,
% 120.82/121.13 (~E(f2(a5,a6),f3(f3(x3441,x3442),f7(x3441)))+~P3(a6,f3(f7(x3441),f3(x3441,x3442)))),
% 120.82/121.13 inference(scs_inference,[],[40,341,3])).
% 120.82/121.13 cnf(347,plain,
% 120.82/121.13 (~E(f3(f3(x3471,x3472),f7(x3471)),f2(a5,a6))+~P3(a6,f3(f7(x3471),f3(x3471,x3472)))),
% 120.82/121.13 inference(scs_inference,[],[344,2])).
% 120.82/121.13 cnf(350,plain,
% 120.82/121.13 (~P3(a6,f3(f7(f8(f2(a5,a6))),f3(f8(f2(a5,a6)),f9(f2(a5,a6)))))),
% 120.82/121.13 inference(scs_inference,[],[43,347,26])).
% 120.82/121.13 cnf(401,plain,
% 120.82/121.13 (~P3(f2(f3(x4011,x4012),f3(x4013,x4014)),f2(f3(x4012,x4011),f3(x4014,x4013)))),
% 120.82/121.13 inference(scs_inference,[],[135,22])).
% 120.82/121.13 cnf(404,plain,
% 120.82/121.13 (~P3(f2(f3(x4041,x4042),f3(x4043,x4044)),f2(f3(x4042,x4041),f3(x4043,x4044)))),
% 120.82/121.13 inference(scs_inference,[],[401,231,61])).
% 120.82/121.13 cnf(406,plain,
% 120.82/121.13 (~P3(f2(f3(x4061,x4062),f3(x4063,x4064)),f2(f3(x4061,x4062),f3(x4064,x4063)))),
% 120.82/121.13 inference(scs_inference,[],[401,231,61,130])).
% 120.82/121.13 cnf(1283,plain,
% 120.82/121.13 (E(f3(f3(x12831,f3(x12832,x12833)),x12834),f3(f3(x12831,f3(x12833,x12832)),x12834))),
% 120.82/121.13 inference(scs_inference,[],[39,2,4])).
% 120.82/121.13 cnf(1284,plain,
% 120.82/121.13 (E(f3(x12841,f3(x12842,f3(x12843,x12844))),f3(x12841,f3(x12842,f3(x12844,x12843))))),
% 120.82/121.13 inference(scs_inference,[],[39,2,5])).
% 120.82/121.13 cnf(1290,plain,
% 120.82/121.13 (E(f2(f3(x12901,f3(x12902,x12903)),x12904),f2(f3(x12901,f3(x12903,x12902)),x12904))),
% 120.82/121.13 inference(scs_inference,[],[39,2,9])).
% 120.82/121.13 cnf(1291,plain,
% 120.82/121.13 (E(f2(x12911,f3(x12912,f3(x12913,x12914))),f2(x12911,f3(x12912,f3(x12914,x12913))))),
% 120.82/121.13 inference(scs_inference,[],[39,2,10])).
% 120.82/121.13 cnf(1506,plain,
% 120.82/121.13 (E(f3(f7(f3(x15061,x15062)),x15063),f3(f7(f3(x15062,x15061)),x15063))),
% 120.82/121.13 inference(scs_inference,[],[38,2,4])).
% 120.82/121.13 cnf(1803,plain,
% 120.82/121.13 (E(f3(f3(f3(x18031,f3(x18032,x18033)),x18034),x18035),f3(f3(f3(x18031,f3(x18033,x18032)),x18034),x18035))),
% 120.82/121.13 inference(scs_inference,[],[1283,350,307,98,201,208,4])).
% 120.82/121.13 cnf(1809,plain,
% 120.82/121.13 (P2(f3(f3(x18091,f3(x18092,x18093)),f3(x18094,x18095)),f3(f3(x18091,f3(x18093,x18092)),f3(x18095,x18094)))),
% 120.82/121.13 inference(scs_inference,[],[1283,202,350,307,216,54,98,201,208,4,10,2,24,13])).
% 120.82/121.13 cnf(1810,plain,
% 120.82/121.13 (E(f3(f3(x18101,f3(x18102,x18103)),x18104),f3(f3(x18101,f3(x18103,x18102)),x18104))),
% 120.82/121.13 inference(rename_variables,[],[1283])).
% 120.82/121.13 cnf(1811,plain,
% 120.82/121.13 (P2(f3(x18111,f3(x18112,x18113)),f3(x18111,f3(x18113,x18112)))),
% 120.82/121.13 inference(rename_variables,[],[216])).
% 120.82/121.13 cnf(1814,plain,
% 120.82/121.13 (P2(f3(x18141,f3(x18142,f3(x18143,x18144))),f3(x18141,f3(f3(x18144,x18143),x18142)))),
% 120.82/121.13 inference(scs_inference,[],[1283,1284,202,350,307,216,1811,54,40,98,201,208,4,10,2,24,13,3,12])).
% 120.82/121.13 cnf(1817,plain,
% 120.82/121.13 (~P1(f3(f3(x18171,f3(x18172,x18173)),f7(f3(x18173,x18172))))),
% 120.82/121.13 inference(scs_inference,[],[1283,1810,1284,202,350,307,216,1811,86,54,40,98,201,208,4,10,2,24,13,3,12,11])).
% 120.82/121.13 cnf(1818,plain,
% 120.82/121.13 (E(f3(f3(x18181,f3(x18182,x18183)),x18184),f3(f3(x18181,f3(x18183,x18182)),x18184))),
% 120.82/121.13 inference(rename_variables,[],[1283])).
% 120.82/121.13 cnf(1823,plain,
% 120.82/121.13 (E(f3(f3(f8(f2(a5,a6)),f9(f2(a5,a6))),f7(f8(f2(a5,a6)))),f2(a5,a6))),
% 120.82/121.14 inference(scs_inference,[],[1283,1810,1284,202,350,307,216,1811,86,54,43,40,98,201,208,4,10,2,24,13,3,12,11,48,222,26])).
% 120.82/121.14 cnf(1830,plain,
% 120.82/121.14 (~P3(f2(f3(f3(x18301,x18302),x18303),f3(x18304,x18305)),f2(f3(x18303,f3(x18302,x18301)),f3(x18304,x18305)))),
% 120.82/121.14 inference(scs_inference,[],[404,1283,1810,1818,1284,1290,202,350,307,216,1811,86,54,43,40,98,201,208,4,10,2,24,13,3,12,11,48,222,26,7,6,8,9,5,15])).
% 120.82/121.14 cnf(1831,plain,
% 120.82/121.14 (~P3(f2(f3(x18311,x18312),f3(x18313,x18314)),f2(f3(x18312,x18311),f3(x18313,x18314)))),
% 120.82/121.14 inference(rename_variables,[],[404])).
% 120.82/121.14 cnf(1832,plain,
% 120.82/121.14 (E(f2(f3(x18321,f3(x18322,x18323)),x18324),f2(f3(x18321,f3(x18323,x18322)),x18324))),
% 120.82/121.14 inference(rename_variables,[],[1290])).
% 120.82/121.14 cnf(1833,plain,
% 120.82/121.14 (~P3(f2(f3(x18331,f3(x18332,x18333)),f3(x18334,x18335)),f2(f3(f3(x18333,x18332),x18331),f3(x18334,x18335)))),
% 120.82/121.14 inference(scs_inference,[],[404,1831,1283,1810,1818,1284,1290,1832,202,350,307,216,1811,86,54,43,40,98,201,208,4,10,2,24,13,3,12,11,48,222,26,7,6,8,9,5,15,14])).
% 120.82/121.14 cnf(1836,plain,
% 120.82/121.14 (~P3(f3(f3(f8(f2(a5,a6)),f9(f2(a5,a6))),f7(f8(f2(a5,a6)))),a6)),
% 120.82/121.14 inference(scs_inference,[],[404,1831,1283,1810,1818,1284,1290,1832,202,350,307,216,1811,86,54,43,40,98,201,208,4,10,2,24,13,3,12,11,48,222,26,7,6,8,9,5,15,14,45])).
% 120.82/121.14 cnf(1841,plain,
% 120.82/121.14 (~P3(f3(f7(f8(f2(a5,a6))),f3(f8(f2(a5,a6)),f9(f2(a5,a6)))),a6)),
% 120.82/121.14 inference(scs_inference,[],[404,1831,1283,1810,1818,1284,1290,1832,202,350,307,216,1811,86,54,43,40,98,201,208,4,10,2,24,13,3,12,11,48,222,26,7,6,8,9,5,15,14,45,219,135,231,59])).
% 120.82/121.14 cnf(1858,plain,
% 120.82/121.14 (E(f2(x18581,f3(x18582,f3(x18583,x18584))),f2(x18581,f3(x18582,f3(x18584,x18583))))),
% 120.82/121.14 inference(rename_variables,[],[1291])).
% 120.82/121.14 cnf(1859,plain,
% 120.82/121.14 (~P3(f2(f3(x18591,x18592),f3(x18593,x18594)),f2(f3(x18591,x18592),f3(x18594,x18593)))),
% 120.82/121.14 inference(rename_variables,[],[406])).
% 120.82/121.14 cnf(1866,plain,
% 120.82/121.14 ($false),
% 120.82/121.14 inference(scs_inference,[],[16,1823,406,1859,1809,1830,1833,1291,1858,1506,1814,1817,1803,1836,1841,192,134,61,130,2,13,12,11,14,15,248,60,219]),
% 120.82/121.14 ['proof']).
% 120.82/121.14 % SZS output end Proof
% 120.82/121.14 % Total time :120.340000s
%------------------------------------------------------------------------------