TSTP Solution File: LCL469+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL469+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 : n003.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 06:49:29 EDT 2023
% Result : Theorem 0.70s 0.76s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n003.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 : Fri Aug 25 03:57:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 % File :CSE---1.6
% 0.21/0.76 % Problem :theBenchmark
% 0.21/0.76 % Transform :cnf
% 0.21/0.76 % Format :tptp:raw
% 0.21/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.76
% 0.21/0.76 % Result :Theorem 0.130000s
% 0.21/0.76 % Output :CNFRefutation 0.130000s
% 0.21/0.76 %-------------------------------------------
% 0.21/0.76 %------------------------------------------------------------------------------
% 0.21/0.76 % File : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.21/0.76 % Domain : Logic Calculi (Propositional)
% 0.21/0.76 % Problem : Prove Hilbert's or_1 axiom from Lukasiewicz's axiomatization
% 0.21/0.76 % Version : [Zem73] axioms.
% 0.21/0.76 % English :
% 0.21/0.76
% 0.21/0.76 % Refs : [Zem73] Zeman (1973), Modal Logic, the Lewis-Modal systems
% 0.21/0.76 % : [Hal] Halleck (URL), John Halleck's Logic Systems
% 0.21/0.76 % Source : [TPTP]
% 0.21/0.76 % Names :
% 0.21/0.76
% 0.21/0.76 % Status : Theorem
% 0.21/0.76 % Rating : 0.14 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.21 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0
% 0.70/0.76 % Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% 0.70/0.76 % Number of atoms : 77 ( 6 equ)
% 0.70/0.76 % Maximal formula atoms : 4 ( 1 avg)
% 0.70/0.76 % Number of connectives : 34 ( 0 ~; 0 |; 1 &)
% 0.70/0.76 % ( 26 <=>; 7 =>; 0 <=; 0 <~>)
% 0.70/0.76 % Maximal formula depth : 6 ( 3 avg)
% 0.70/0.76 % Maximal term depth : 5 ( 2 avg)
% 0.70/0.76 % Number of predicates : 34 ( 33 usr; 32 prp; 0-2 aty)
% 0.70/0.76 % Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% 0.70/0.76 % Number of variables : 65 ( 65 !; 0 ?)
% 0.70/0.76 % SPC : FOF_THM_RFO_SEQ
% 0.70/0.76
% 0.70/0.76 % Comments :
% 0.70/0.76 %------------------------------------------------------------------------------
% 0.70/0.76 %----Include axioms of propositional logic
% 0.70/0.76 include('Axioms/LCL006+0.ax').
% 0.70/0.76 include('Axioms/LCL006+1.ax').
% 0.70/0.76 %----Include Lukasiewicz's axiomatization of propositional logic
% 0.70/0.76 include('Axioms/LCL006+3.ax').
% 0.70/0.76 %------------------------------------------------------------------------------
% 0.70/0.76 %----Operator definitions to reduce everything to and & not
% 0.70/0.76 fof(hilbert_op_or,axiom,
% 0.70/0.76 op_or ).
% 0.70/0.76
% 0.70/0.76 fof(hilbert_op_implies_and,axiom,
% 0.70/0.76 op_implies_and ).
% 0.70/0.76
% 0.70/0.76 fof(hilbert_op_equiv,axiom,
% 0.70/0.76 op_equiv ).
% 0.70/0.76
% 0.70/0.76 fof(hilbert_or_1,conjecture,
% 0.70/0.76 or_1 ).
% 0.70/0.76
% 0.70/0.76 %------------------------------------------------------------------------------
% 0.70/0.76 %-------------------------------------------
% 0.70/0.76 % Proof found
% 0.70/0.76 % SZS status Theorem for theBenchmark
% 0.70/0.76 % SZS output start Proof
% 0.70/0.77 %ClaNum:117(EqnAxiom:45)
% 0.70/0.77 %VarNum:128(SingletonVarNum:63)
% 0.70/0.77 %MaxLitNum:4
% 0.70/0.77 %MaxfuncDepth:4
% 0.70/0.77 %SharedTerms:229
% 0.70/0.77 %goalClause: 57
% 0.70/0.77 %singleGoalClaCount:1
% 0.70/0.77 [46]P1(a500)
% 0.70/0.77 [47]P18(a500)
% 0.70/0.77 [48]P2(a500)
% 0.70/0.77 [49]P6(a500)
% 0.70/0.77 [50]P7(a500)
% 0.70/0.77 [52]P19(a500)
% 0.70/0.77 [53]P20(a500)
% 0.70/0.77 [55]P21(a500)
% 0.70/0.77 [56]P24(a500)
% 0.70/0.77 [57]~P26(a500)
% 0.70/0.77 [79]P9(a500)+~P8(f47(a48,f47(a57,a48)))
% 0.70/0.77 [80]P26(a500)+~P8(f47(a17,f60(a17,a18)))
% 0.70/0.77 [81]P27(a500)+~P8(f47(a19,f60(a20,a19)))
% 0.70/0.77 [82]P15(a500)+~P8(f47(a27,f5(a27,a27)))
% 0.70/0.77 [83]P28(a500)+~P8(f47(a37,f60(a38,a37)))
% 0.70/0.77 [84]P4(a500)+~P8(f47(f5(a6,a11),a6))
% 0.70/0.77 [85]P3(a500)+~P8(f47(f5(a12,a13),a13))
% 0.70/0.77 [86]P16(a500)+~P8(f47(f5(a31,a32),a31))
% 0.70/0.77 [87]P29(a500)+~P8(f47(f60(a39,a39),a39))
% 0.70/0.77 [95]P11(a500)+~P8(f47(f4(a21,a25),f47(a21,a25)))
% 0.70/0.77 [96]P10(a500)+~P8(f47(f4(a26,a28),f47(a28,a26)))
% 0.70/0.77 [97]P31(a500)+~P8(f47(f60(a45,a46),f60(a46,a45)))
% 0.70/0.77 [100]P23(a500)+~P8(f47(f47(f59(a49),f59(a50)),f47(a50,a49)))
% 0.70/0.77 [103]P13(a500)+~P8(f47(f47(a58,f47(a58,a7)),f47(a58,a7)))
% 0.70/0.77 [102]P5(a500)+~P8(f47(a14,f47(a15,f5(a14,a15))))
% 0.70/0.77 [109]P14(a500)+~P8(f47(f47(a8,a9),f47(f47(a9,a10),f47(a8,a10))))
% 0.70/0.77 [110]P12(a500)+~P8(f47(f47(a29,a30),f47(f47(a30,a29),f4(a29,a30))))
% 0.70/0.77 [112]P32(a500)+~P8(f47(f47(a51,a56),f47(f60(a52,a51),f60(a52,a56))))
% 0.70/0.77 [113]P33(a500)+~P8(f47(f60(a53,f60(a54,a55)),f60(a54,f60(a53,a55))))
% 0.70/0.77 [116]P30(a500)+~P8(f47(f47(a22,a23),f47(f47(a24,a23),f47(f60(a22,a24),a23))))
% 0.70/0.77 [117]P17(a500)+~P8(f47(f47(a34,a35),f47(f59(f5(a35,a36)),f59(f5(a36,a34)))))
% 0.70/0.77 [71]~P15(a500)+P8(f47(x711,f5(x711,x711)))
% 0.70/0.77 [78]~P29(a500)+P8(f47(f60(x781,x781),x781))
% 0.70/0.77 [89]~P7(a500)+P8(f47(f47(f59(x891),x891),x891))
% 0.70/0.77 [63]E(f60(f59(x631),x632),f47(x631,x632))+~P25(a500)
% 0.70/0.77 [69]E(f5(f47(x691,x692),f47(x692,x691)),f4(x691,x692))+~P21(a500)
% 0.70/0.77 [70]~P9(a500)+P8(f47(x701,f47(x702,x701)))
% 0.70/0.77 [72]~P27(a500)+P8(f47(x721,f60(x722,x721)))
% 0.70/0.77 [73]~P28(a500)+P8(f47(x731,f60(x732,x731)))
% 0.70/0.77 [75]~P3(a500)+P8(f47(f5(x751,x752),x752))
% 0.70/0.77 [76]~P4(a500)+P8(f47(f5(x761,x762),x761))
% 0.70/0.77 [77]~P16(a500)+P8(f47(f5(x771,x772),x771))
% 0.70/0.77 [92]~P10(a500)+P8(f47(f4(x921,x922),f47(x922,x921)))
% 0.70/0.77 [93]~P11(a500)+P8(f47(f4(x931,x932),f47(x931,x932)))
% 0.70/0.77 [94]~P31(a500)+P8(f47(f60(x941,x942),f60(x942,x941)))
% 0.70/0.77 [98]~P23(a500)+P8(f47(f47(f59(x981),f59(x982)),f47(x982,x981)))
% 0.70/0.77 [101]~P13(a500)+P8(f47(f47(x1011,f47(x1011,x1012)),f47(x1011,x1012)))
% 0.70/0.77 [65]~P20(a500)+E(f59(f5(x651,f59(x652))),f47(x651,x652))
% 0.70/0.77 [67]~P22(a500)+E(f59(f60(f59(x671),f59(x672))),f5(x671,x672))
% 0.70/0.77 [68]~P19(a500)+E(f59(f5(f59(x681),f59(x682))),f60(x681,x682))
% 0.70/0.77 [88]~P6(a500)+P8(f47(x881,f47(f59(x881),x882)))
% 0.70/0.77 [99]~P5(a500)+P8(f47(x991,f47(x992,f5(x991,x992))))
% 0.70/0.77 [106]~P12(a500)+P8(f47(f47(x1061,x1062),f47(f47(x1062,x1061),f4(x1061,x1062))))
% 0.70/0.77 [104]~P14(a500)+P8(f47(f47(x1041,x1042),f47(f47(x1042,x1043),f47(x1041,x1043))))
% 0.70/0.77 [105]~P2(a500)+P8(f47(f47(x1051,x1052),f47(f47(x1052,x1053),f47(x1051,x1053))))
% 0.70/0.77 [107]~P32(a500)+P8(f47(f47(x1071,x1072),f47(f60(x1073,x1071),f60(x1073,x1072))))
% 0.70/0.77 [108]~P33(a500)+P8(f47(f60(x1081,f60(x1082,x1083)),f60(x1082,f60(x1081,x1083))))
% 0.70/0.77 [114]~P30(a500)+P8(f47(f47(x1141,x1142),f47(f47(x1143,x1142),f47(f60(x1141,x1143),x1142))))
% 0.70/0.77 [115]~P17(a500)+P8(f47(f47(x1151,x1152),f47(f59(f5(x1152,x1153)),f59(f5(x1153,x1151)))))
% 0.70/0.77 [64]E(x641,x642)+~P18(a500)+~P8(f4(x641,x642))
% 0.70/0.77 [66]P8(x661)+~P8(x662)+~P1(a500)+~P8(f47(x662,x661))
% 0.70/0.77 %EqnAxiom
% 0.70/0.77 [1]E(x11,x11)
% 0.70/0.77 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.77 [4]~E(x41,x42)+E(f47(x41,x43),f47(x42,x43))
% 0.70/0.77 [5]~E(x51,x52)+E(f47(x53,x51),f47(x53,x52))
% 0.70/0.77 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.70/0.77 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.70/0.77 [8]~E(x81,x82)+E(f59(x81),f59(x82))
% 0.70/0.77 [9]~E(x91,x92)+E(f60(x91,x93),f60(x92,x93))
% 0.70/0.77 [10]~E(x101,x102)+E(f60(x103,x101),f60(x103,x102))
% 0.70/0.77 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 0.70/0.77 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 0.70/0.77 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 0.70/0.77 [14]~P18(x141)+P18(x142)+~E(x141,x142)
% 0.70/0.77 [15]~P2(x151)+P2(x152)+~E(x151,x152)
% 0.70/0.77 [16]~P6(x161)+P6(x162)+~E(x161,x162)
% 0.70/0.77 [17]~P7(x171)+P7(x172)+~E(x171,x172)
% 0.70/0.77 [18]~P19(x181)+P19(x182)+~E(x181,x182)
% 0.70/0.77 [19]~P8(x191)+P8(x192)+~E(x191,x192)
% 0.70/0.77 [20]~P20(x201)+P20(x202)+~E(x201,x202)
% 0.70/0.77 [21]~P21(x211)+P21(x212)+~E(x211,x212)
% 0.70/0.77 [22]~P15(x221)+P15(x222)+~E(x221,x222)
% 0.70/0.77 [23]~P24(x231)+P24(x232)+~E(x231,x232)
% 0.70/0.77 [24]~P26(x241)+P26(x242)+~E(x241,x242)
% 0.70/0.77 [25]~P17(x251)+P17(x252)+~E(x251,x252)
% 0.70/0.77 [26]~P12(x261)+P12(x262)+~E(x261,x262)
% 0.70/0.77 [27]~P14(x271)+P14(x272)+~E(x271,x272)
% 0.70/0.77 [28]~P16(x281)+P16(x282)+~E(x281,x282)
% 0.70/0.77 [29]~P33(x291)+P33(x292)+~E(x291,x292)
% 0.70/0.77 [30]~P32(x301)+P32(x302)+~E(x301,x302)
% 0.70/0.77 [31]~P9(x311)+P9(x312)+~E(x311,x312)
% 0.70/0.77 [32]~P29(x321)+P29(x322)+~E(x321,x322)
% 0.70/0.77 [33]~P13(x331)+P13(x332)+~E(x331,x332)
% 0.70/0.77 [34]~P25(x341)+P25(x342)+~E(x341,x342)
% 0.70/0.77 [35]~P30(x351)+P30(x352)+~E(x351,x352)
% 0.70/0.77 [36]~P5(x361)+P5(x362)+~E(x361,x362)
% 0.70/0.77 [37]~P28(x371)+P28(x372)+~E(x371,x372)
% 0.70/0.77 [38]~P3(x381)+P3(x382)+~E(x381,x382)
% 0.70/0.77 [39]~P10(x391)+P10(x392)+~E(x391,x392)
% 0.70/0.77 [40]~P23(x401)+P23(x402)+~E(x401,x402)
% 0.70/0.77 [41]~P11(x411)+P11(x412)+~E(x411,x412)
% 0.70/0.77 [42]~P22(x421)+P22(x422)+~E(x421,x422)
% 0.70/0.77 [43]~P27(x431)+P27(x432)+~E(x431,x432)
% 0.70/0.77 [44]~P4(x441)+P4(x442)+~E(x441,x442)
% 0.70/0.77 [45]~P31(x451)+P31(x452)+~E(x451,x452)
% 0.70/0.77
% 0.70/0.77 %-------------------------------------------
% 0.70/0.77 cnf(118,plain,
% 0.70/0.77 (~P8(f47(a17,f60(a17,a18)))),
% 0.70/0.77 inference(scs_inference,[],[57,80])).
% 0.70/0.77 cnf(119,plain,
% 0.70/0.77 (P8(f47(f47(f59(x1191),x1191),x1191))),
% 0.70/0.77 inference(scs_inference,[],[57,50,80,89])).
% 0.70/0.77 cnf(120,plain,
% 0.70/0.77 (P8(f47(x1201,f47(f59(x1201),x1202)))),
% 0.70/0.77 inference(scs_inference,[],[57,49,50,80,89,88])).
% 0.70/0.77 cnf(122,plain,
% 0.70/0.77 (E(f59(f5(x1221,f59(x1222))),f47(x1221,x1222))),
% 0.70/0.77 inference(scs_inference,[],[57,49,50,53,55,80,89,88,69,65])).
% 0.70/0.77 cnf(123,plain,
% 0.70/0.77 (P8(f47(f47(x1231,x1232),f47(f47(x1232,x1233),f47(x1231,x1233))))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,53,55,80,89,88,69,65,105])).
% 0.70/0.77 cnf(124,plain,
% 0.70/0.77 (E(f59(f5(f59(x1241),f59(x1242))),f60(x1241,x1242))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68])).
% 0.70/0.77 cnf(125,plain,
% 0.70/0.77 (E(f5(x1251,f5(f47(x1252,x1253),f47(x1253,x1252))),f5(x1251,f4(x1252,x1253)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68,12])).
% 0.70/0.77 cnf(126,plain,
% 0.70/0.77 (E(f5(f5(f47(x1261,x1262),f47(x1262,x1261)),x1263),f5(f4(x1261,x1262),x1263))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68,12,11])).
% 0.70/0.77 cnf(129,plain,
% 0.70/0.77 (E(f59(f5(f47(x1291,x1292),f47(x1292,x1291))),f59(f4(x1291,x1292)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68,12,11,10,9,8])).
% 0.70/0.77 cnf(130,plain,
% 0.70/0.77 (E(f4(x1301,f5(f47(x1302,x1303),f47(x1303,x1302))),f4(x1301,f4(x1302,x1303)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68,12,11,10,9,8,7])).
% 0.70/0.77 cnf(132,plain,
% 0.70/0.77 (E(f47(x1321,f5(f47(x1322,x1323),f47(x1323,x1322))),f47(x1321,f4(x1322,x1323)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,80,89,88,69,65,105,68,12,11,10,9,8,7,6,5])).
% 0.70/0.77 cnf(135,plain,
% 0.70/0.77 (~E(f47(f47(f59(x1351),x1351),x1351),f47(a17,f60(a17,a18)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,56,80,89,88,69,65,105,68,12,11,10,9,8,7,6,5,4,23,19])).
% 0.70/0.77 cnf(136,plain,
% 0.70/0.77 (~E(f47(f47(f59(f5(f47(x1361,x1362),f47(x1362,x1361))),f5(f47(x1361,x1362),f47(x1362,x1361))),f4(x1361,x1362)),f47(a17,f60(a17,a18)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,56,80,89,88,69,65,105,68,12,11,10,9,8,7,6,5,4,23,19,3])).
% 0.70/0.77 cnf(137,plain,
% 0.70/0.77 (E(f4(x1371,x1372),f5(f47(x1371,x1372),f47(x1372,x1371)))),
% 0.70/0.77 inference(scs_inference,[],[57,48,49,50,52,53,55,56,80,89,88,69,65,105,68,12,11,10,9,8,7,6,5,4,23,19,3,2])).
% 0.70/0.77 cnf(143,plain,
% 0.70/0.77 (P8(x1431)+~P8(x1432)+~P8(f47(x1432,x1431))),
% 0.70/0.77 inference(scs_inference,[],[46,66])).
% 0.70/0.77 cnf(153,plain,
% 0.70/0.77 (~E(f47(f59(f60(a17,a18)),f60(a17,a18)),a17)),
% 0.70/0.77 inference(scs_inference,[],[119,125,126,122,136,135,118,143,2,19,3,4])).
% 0.70/0.77 cnf(166,plain,
% 0.70/0.77 (E(f4(x1661,x1662),f5(f47(x1661,x1662),f47(x1662,x1661)))),
% 0.70/0.77 inference(rename_variables,[],[137])).
% 0.70/0.77 cnf(168,plain,
% 0.70/0.77 (E(f47(f4(x1681,x1682),x1683),f47(f5(f47(x1681,x1682),f47(x1682,x1681)),x1683))),
% 0.70/0.77 inference(scs_inference,[],[118,129,137,166,130,132,123,119,143,19,3,2,4])).
% 0.70/0.77 cnf(172,plain,
% 0.70/0.77 (P8(f47(f47(f47(f59(x1721),x1722),x1723),f47(x1721,x1723)))),
% 0.70/0.77 inference(scs_inference,[],[120,123,143])).
% 0.70/0.77 cnf(173,plain,
% 0.70/0.77 (P8(f47(x1731,f47(f59(x1731),x1732)))),
% 0.70/0.77 inference(rename_variables,[],[120])).
% 0.70/0.77 cnf(176,plain,
% 0.70/0.77 (~E(a17,f47(f59(f60(a17,a18)),f60(a17,a18)))),
% 0.70/0.77 inference(scs_inference,[],[120,153,123,143,2])).
% 0.70/0.77 cnf(179,plain,
% 0.70/0.77 (~E(f47(f59(a17),x1791),f60(a17,a18))),
% 0.70/0.77 inference(scs_inference,[],[53,118,120,173,153,123,143,2,19,20,5])).
% 0.70/0.77 cnf(188,plain,
% 0.70/0.77 (E(f47(x1881,f59(f5(f59(x1882),f59(x1883)))),f47(x1881,f60(x1882,x1883)))),
% 0.70/0.77 inference(scs_inference,[],[118,124,172,143,5])).
% 0.70/0.77 cnf(191,plain,
% 0.70/0.77 (~E(f47(f59(a17),x1911),f59(f5(f59(a17),f59(a18))))),
% 0.70/0.77 inference(scs_inference,[],[118,124,172,179,122,143,5,19,3])).
% 0.70/0.77 cnf(211,plain,
% 0.70/0.77 ($false),
% 0.70/0.77 inference(scs_inference,[],[119,118,168,188,191,176,120,122,143,3,19,2]),
% 0.70/0.77 ['proof']).
% 0.70/0.77 % SZS output end Proof
% 0.70/0.77 % Total time :0.130000s
%------------------------------------------------------------------------------