%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC422-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Mon Jun 24 16:15:28 EDT 2024
% Result : Unsatisfiable 0.51s 0.74s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC422-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 05:09:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 0.51/0.73 %-------------------------------------------
% 0.51/0.73 % File :CSE---1.7
% 0.51/0.73 % Problem :theBenchmark
% 0.51/0.73 % Transform :cnf
% 0.51/0.73 % Format :tptp:raw
% 0.51/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.73
% 0.51/0.73 % Result :Theorem 0.100000s
% 0.51/0.73 % Output :CNFRefutation 0.100000s
% 0.51/0.73 %-------------------------------------------
% 0.51/0.73 %--------------------------------------------------------------------------
% 0.51/0.73 % File : SWC422-1 : TPTP v8.2.0. Released v2.4.0.
% 0.51/0.73 % Domain : Software Creation
% 0.51/0.73 % Problem : cond_turn_x_turn
% 0.51/0.73 % Version : [Wei00] axioms.
% 0.51/0.73 % English : Find components in a software library that match a given target
% 0.51/0.73 % specification given in first-order logic. The components are
% 0.51/0.73 % specified in first-order logic as well. The problem represents
% 0.51/0.73 % a test of one library module specification against a target
% 0.51/0.73 % specification.
% 0.51/0.73
% 0.51/0.73 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.51/0.73 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.51/0.73 % Source : [TPTP]
% 0.51/0.73 % Names :
% 0.51/0.73
% 0.51/0.73 % Status : Unsatisfiable
% 0.51/0.73 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.21 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0, 0.46 v4.0.1, 0.45 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.50 v3.3.0, 0.36 v3.2.0, 0.31 v3.1.0, 0.36 v2.7.0, 0.42 v2.6.0, 0.56 v2.5.0, 0.44 v2.4.0
% 0.51/0.73 % Syntax : Number of clauses : 205 ( 60 unt; 39 nHn; 162 RR)
% 0.51/0.73 % Number of literals : 646 ( 108 equ; 415 neg)
% 0.51/0.73 % Maximal clause size : 10 ( 3 avg)
% 0.51/0.73 % Maximal term depth : 5 ( 1 avg)
% 0.51/0.73 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.51/0.73 % Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% 0.51/0.73 % Number of variables : 332 ( 49 sgn)
% 0.51/0.73 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.51/0.73
% 0.51/0.73 % Comments : Created by CNF conversion from SWC422+1
% 0.51/0.73 %--------------------------------------------------------------------------
% 0.51/0.73 %----Include list specification axioms
% 0.51/0.73 include('Axioms/SWC001-0.ax').
% 0.51/0.73 %--------------------------------------------------------------------------
% 0.51/0.73 cnf(co1_1,negated_conjecture,
% 0.51/0.74 ssList(sk1) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_2,negated_conjecture,
% 0.51/0.74 ssList(sk2) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_3,negated_conjecture,
% 0.51/0.74 ssList(sk3) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_4,negated_conjecture,
% 0.51/0.74 ssList(sk4) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_5,negated_conjecture,
% 0.51/0.74 sk2 = sk4 ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_6,negated_conjecture,
% 0.51/0.74 sk1 = sk3 ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_7,negated_conjecture,
% 0.51/0.74 ( neq(sk2,nil)
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_8,negated_conjecture,
% 0.51/0.74 ( neq(sk2,nil)
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_9,negated_conjecture,
% 0.51/0.74 ( ~ ssItem(A)
% 0.51/0.74 | ~ ssList(B)
% 0.51/0.74 | ~ ssList(C)
% 0.51/0.74 | app(app(B,cons(A,nil)),C) != sk2
% 0.51/0.74 | app(app(C,cons(A,nil)),B) != sk1
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_10,negated_conjecture,
% 0.51/0.74 ( ssItem(sk5)
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_11,negated_conjecture,
% 0.51/0.74 ( ssList(sk6)
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_12,negated_conjecture,
% 0.51/0.74 ( ssList(sk7)
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_13,negated_conjecture,
% 0.51/0.74 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_14,negated_conjecture,
% 0.51/0.74 ( app(app(sk7,cons(sk5,nil)),sk6) = sk3
% 0.51/0.74 | neq(sk2,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_15,negated_conjecture,
% 0.51/0.74 ( ~ ssItem(A)
% 0.51/0.74 | ~ ssList(B)
% 0.51/0.74 | ~ ssList(C)
% 0.51/0.74 | app(app(B,cons(A,nil)),C) != sk2
% 0.51/0.74 | app(app(C,cons(A,nil)),B) != sk1
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_16,negated_conjecture,
% 0.51/0.74 ( ssItem(sk5)
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_17,negated_conjecture,
% 0.51/0.74 ( ssList(sk6)
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_18,negated_conjecture,
% 0.51/0.74 ( ssList(sk7)
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_19,negated_conjecture,
% 0.51/0.74 ( app(app(sk6,cons(sk5,nil)),sk7) = sk4
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 cnf(co1_20,negated_conjecture,
% 0.51/0.74 ( app(app(sk7,cons(sk5,nil)),sk6) = sk3
% 0.51/0.74 | ~ neq(sk4,nil) ) ).
% 0.51/0.74
% 0.51/0.74 %--------------------------------------------------------------------------
% 0.51/0.74 %-------------------------------------------
% 0.51/0.74 % Proof found
% 0.51/0.74 % SZS status Theorem for theBenchmark
% 0.51/0.74 % SZS output start Proof
% 0.51/0.74 %ClaNum:290(EqnAxiom:85)
% 0.51/0.74 %VarNum:900(SingletonVarNum:325)
% 0.51/0.74 %MaxLitNum:10
% 0.51/0.74 %MaxfuncDepth:4
% 0.51/0.74 %SharedTerms:40
% 0.51/0.74 %goalClause: 86 87 96 97 98 99 138 160 161 162 261 262 290
% 0.51/0.74 %singleGoalClaCount:7
% 0.51/0.74 [86]E(a1,a2)
% 0.51/0.74 [87]E(a7,a8)
% 0.51/0.74 [88]P1(a3)
% 0.51/0.74 [89]P2(a3)
% 0.51/0.74 [90]P4(a3)
% 0.51/0.74 [91]P18(a3)
% 0.51/0.74 [92]P5(a3)
% 0.51/0.74 [93]P19(a3)
% 0.51/0.74 [94]P3(a3)
% 0.51/0.74 [95]P6(a3)
% 0.51/0.74 [96]P6(a2)
% 0.51/0.74 [97]P6(a7)
% 0.51/0.74 [98]P6(a1)
% 0.51/0.74 [99]P6(a8)
% 0.51/0.74 [100]P7(a9)
% 0.51/0.74 [101]P7(a10)
% 0.51/0.74 [138]P8(a7,a3)
% 0.51/0.74 [145]~E(a10,a9)
% 0.51/0.74 [146]~P15(a3)
% 0.51/0.74 [102]P6(f14(x1021))
% 0.51/0.74 [103]P6(f15(x1031))
% 0.51/0.74 [104]P6(f16(x1041))
% 0.51/0.74 [105]P6(f17(x1051))
% 0.51/0.74 [106]P6(f18(x1061))
% 0.51/0.74 [107]P6(f19(x1071))
% 0.51/0.74 [108]P6(f20(x1081))
% 0.51/0.74 [109]P6(f21(x1091))
% 0.51/0.74 [110]P6(f22(x1101))
% 0.51/0.74 [111]P6(f23(x1111))
% 0.51/0.74 [112]P6(f24(x1121))
% 0.51/0.74 [113]P6(f25(x1131))
% 0.51/0.74 [114]P6(f26(x1141))
% 0.51/0.74 [115]P6(f27(x1151))
% 0.51/0.74 [116]P6(f28(x1161))
% 0.51/0.74 [117]P6(f29(x1171))
% 0.51/0.74 [118]P6(f30(x1181))
% 0.51/0.74 [119]P6(f31(x1191))
% 0.51/0.74 [120]P6(f32(x1201))
% 0.51/0.74 [121]P6(f33(x1211))
% 0.51/0.74 [122]P6(f34(x1221))
% 0.51/0.74 [123]P7(f55(x1231))
% 0.51/0.74 [124]P7(f53(x1241))
% 0.51/0.74 [125]P7(f54(x1251))
% 0.51/0.74 [126]P7(f52(x1261))
% 0.51/0.74 [127]P7(f50(x1271))
% 0.51/0.74 [128]P7(f51(x1281))
% 0.51/0.74 [129]P7(f48(x1291))
% 0.51/0.74 [130]P7(f49(x1301))
% 0.51/0.74 [131]P7(f46(x1311))
% 0.51/0.74 [132]P7(f47(x1321))
% 0.51/0.74 [133]P7(f44(x1331))
% 0.51/0.74 [134]P7(f45(x1341))
% 0.51/0.74 [135]P7(f35(x1351))
% 0.51/0.74 [136]P7(f36(x1361))
% 0.51/0.74 [137]P7(f37(x1371))
% 0.51/0.74 [139]P6(f40(x1391,x1392))
% 0.51/0.74 [140]P6(f41(x1401,x1402))
% 0.51/0.74 [141]P6(f42(x1411,x1412))
% 0.51/0.74 [142]P6(f43(x1421,x1422))
% 0.51/0.74 [143]P6(f38(x1431,x1432))
% 0.51/0.74 [144]P6(f39(x1441,x1442))
% 0.51/0.74 [160]P6(a11)+~P8(a8,a3)
% 0.51/0.74 [161]~P8(a8,a3)+P6(a13)
% 0.51/0.74 [162]~P8(a8,a3)+P7(a12)
% 0.51/0.74 [261]~P8(a8,a3)+E(f5(f5(a11,f6(a12,a3)),a13),a8)
% 0.51/0.74 [262]~P8(a8,a3)+E(f5(f5(a13,f6(a12,a3)),a11),a1)
% 0.51/0.74 [155]~P6(x1551)+P16(x1551,a3)
% 0.51/0.74 [156]~P6(x1561)+P17(x1561,a3)
% 0.51/0.74 [157]~P6(x1571)+P9(x1571,a3)
% 0.51/0.74 [163]~P7(x1631)+P10(x1631,x1631)
% 0.51/0.74 [164]~P6(x1641)+P16(x1641,x1641)
% 0.51/0.74 [165]~P6(x1651)+P17(x1651,x1651)
% 0.51/0.74 [166]~P6(x1661)+P9(x1661,x1661)
% 0.51/0.74 [167]~P7(x1671)+P11(x1671,x1671)
% 0.51/0.74 [172]~P7(x1721)+~P13(a3,x1721)
% 0.51/0.74 [177]~P14(x1771,x1771)+~P7(x1771)
% 0.51/0.74 [158]~P6(x1581)+E(f5(x1581,a3),x1581)
% 0.51/0.74 [159]~P6(x1591)+E(f5(a3,x1591),x1591)
% 0.51/0.74 [182]~P7(x1821)+P1(f6(x1821,a3))
% 0.51/0.74 [183]~P7(x1831)+P2(f6(x1831,a3))
% 0.51/0.74 [184]~P7(x1841)+P4(f6(x1841,a3))
% 0.51/0.74 [185]~P7(x1851)+P18(f6(x1851,a3))
% 0.51/0.74 [186]~P7(x1861)+P5(f6(x1861,a3))
% 0.51/0.74 [187]~P7(x1871)+P19(f6(x1871,a3))
% 0.51/0.74 [188]~P7(x1881)+P3(f6(x1881,a3))
% 0.51/0.74 [168]~P6(x1681)+~E(a3,x1681)+P16(a3,x1681)
% 0.51/0.74 [169]~P6(x1691)+~E(a3,x1691)+P17(a3,x1691)
% 0.51/0.74 [170]~P6(x1701)+~E(a3,x1701)+P9(a3,x1701)
% 0.51/0.74 [173]~P6(x1731)+~P16(a3,x1731)+E(a3,x1731)
% 0.51/0.74 [174]~P6(x1741)+~P17(a3,x1741)+E(a3,x1741)
% 0.51/0.74 [175]~P6(x1751)+~P9(a3,x1751)+E(a3,x1751)
% 0.51/0.74 [152]~P6(x1521)+E(a3,x1521)+P6(f56(x1521))
% 0.51/0.74 [154]~P6(x1541)+E(a3,x1541)+P7(f4(x1541))
% 0.51/0.74 [171]~P6(x1711)+P1(x1711)+~E(f54(x1711),f53(x1711))
% 0.51/0.74 [193]~P6(x1931)+P3(x1931)+P11(f35(x1931),f36(x1931))
% 0.51/0.74 [194]~P6(x1941)+P3(x1941)+P11(f36(x1941),f35(x1941))
% 0.51/0.74 [214]~P6(x2141)+P4(x2141)+~P14(f51(x2141),f50(x2141))
% 0.51/0.74 [215]~P6(x2151)+P18(x2151)+~P11(f49(x2151),f48(x2151))
% 0.51/0.74 [216]~P6(x2161)+P5(x2161)+~P14(f46(x2161),f47(x2161))
% 0.51/0.74 [217]~P6(x2171)+P5(x2171)+~P14(f47(x2171),f46(x2171))
% 0.51/0.74 [218]~P6(x2181)+P19(x2181)+~P11(f44(x2181),f45(x2181))
% 0.51/0.74 [219]~P6(x2191)+P19(x2191)+~P11(f45(x2191),f44(x2191))
% 0.51/0.74 [181]~P6(x1811)+~P15(x1811)+E(f6(f37(x1811),a3),x1811)
% 0.51/0.74 [189]~P6(x1891)+E(a3,x1891)+E(f6(f55(x1891),f14(x1891)),x1891)
% 0.51/0.74 [190]~P6(x1901)+E(a3,x1901)+E(f6(f4(x1901),f56(x1901)),x1901)
% 0.51/0.74 [277]P2(x2771)+~P6(x2771)+E(f5(f5(f19(x2771),f6(f52(x2771),f18(x2771))),f6(f52(x2771),f17(x2771))),x2771)
% 0.51/0.74 [278]P4(x2781)+~P6(x2781)+E(f5(f5(f22(x2781),f6(f51(x2781),f21(x2781))),f6(f50(x2781),f20(x2781))),x2781)
% 0.51/0.74 [279]P18(x2791)+~P6(x2791)+E(f5(f5(f25(x2791),f6(f49(x2791),f24(x2791))),f6(f48(x2791),f23(x2791))),x2791)
% 0.51/0.74 [280]P5(x2801)+~P6(x2801)+E(f5(f5(f28(x2801),f6(f47(x2801),f27(x2801))),f6(f46(x2801),f26(x2801))),x2801)
% 0.51/0.74 [281]P19(x2811)+~P6(x2811)+E(f5(f5(f31(x2811),f6(f45(x2811),f30(x2811))),f6(f44(x2811),f29(x2811))),x2811)
% 0.51/0.74 [282]P3(x2821)+~P6(x2821)+E(f5(f5(f34(x2821),f6(f36(x2821),f33(x2821))),f6(f35(x2821),f32(x2821))),x2821)
% 0.51/0.74 [275]P1(x2751)+~P6(x2751)+E(f5(f16(x2751),f6(f54(x2751),f6(f53(x2751),f15(x2751)))),x2751)
% 0.51/0.74 [150]~P6(x1501)+P2(x1501)+P7(x1502)
% 0.51/0.74 [191]~P6(x1912)+~P7(x1911)+~E(f6(x1911,x1912),a3)
% 0.51/0.74 [192]~P6(x1922)+~P7(x1921)+~E(f6(x1921,x1922),x1922)
% 0.51/0.74 [201]~P6(x2012)+~P7(x2011)+P6(f6(x2011,x2012))
% 0.51/0.74 [202]~P6(x2021)+~P6(x2022)+P6(f5(x2021,x2022))
% 0.51/0.74 [203]~P6(x2032)+~P7(x2031)+E(f56(f6(x2031,x2032)),x2032)
% 0.51/0.74 [204]~P6(x2042)+~P7(x2041)+E(f4(f6(x2041,x2042)),x2041)
% 0.51/0.74 [231]~P6(x2312)+~P7(x2311)+E(f5(f6(x2311,a3),x2312),f6(x2311,x2312))
% 0.51/0.74 [178]P8(x1782,x1781)+~P6(x1782)+~P6(x1781)+E(x1781,x1782)
% 0.51/0.74 [179]P8(x1792,x1791)+~P7(x1792)+~P7(x1791)+E(x1791,x1792)
% 0.51/0.74 [198]~P6(x1982)+~P6(x1981)+~P8(x1981,x1982)+~E(x1981,x1982)
% 0.51/0.74 [199]~P7(x1992)+~P7(x1991)+~P14(x1991,x1992)+~E(x1991,x1992)
% 0.51/0.74 [200]~P7(x2002)+~P7(x2001)+~P8(x2001,x2002)+~E(x2001,x2002)
% 0.51/0.74 [209]~P7(x2091)+~P7(x2092)+~P11(x2092,x2091)+P10(x2091,x2092)
% 0.51/0.74 [210]~P7(x2101)+~P7(x2102)+~P10(x2102,x2101)+P11(x2101,x2102)
% 0.51/0.74 [211]~P7(x2112)+~P7(x2111)+~P14(x2111,x2112)+P11(x2111,x2112)
% 0.51/0.74 [212]~P7(x2121)+~P7(x2122)+~P12(x2122,x2121)+P14(x2121,x2122)
% 0.51/0.74 [213]~P7(x2131)+~P7(x2132)+~P14(x2132,x2131)+P12(x2131,x2132)
% 0.51/0.74 [222]~P14(x2221,x2222)+~P14(x2222,x2221)+~P7(x2221)+~P7(x2222)
% 0.51/0.74 [223]~P12(x2231,x2232)+~P12(x2232,x2231)+~P7(x2231)+~P7(x2232)
% 0.51/0.74 [195]~P6(x1951)+~P6(x1952)+E(a3,x1951)+~E(f5(x1952,x1951),a3)
% 0.51/0.74 [196]~P6(x1962)+~P6(x1961)+E(a3,x1961)+~E(f5(x1961,x1962),a3)
% 0.51/0.75 [197]~P6(x1971)+~P7(x1972)+P15(x1971)+~E(f6(x1972,a3),x1971)
% 0.51/0.75 [206]~P6(x2062)+~P7(x2061)+~E(a3,x2062)+P4(f6(x2061,x2062))
% 0.51/0.75 [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P18(f6(x2071,x2072))
% 0.51/0.75 [208]~P6(x2081)+~P6(x2082)+E(a3,x2081)+E(f4(f5(x2081,x2082)),f4(x2081))
% 0.51/0.75 [233]~P6(x2331)+~P6(x2332)+E(a3,x2331)+E(f56(f5(x2331,x2332)),f5(f56(x2331),x2332))
% 0.51/0.75 [240]~P6(x2401)+~P6(x2402)+~P9(x2402,x2401)+E(f5(x2401,f43(x2402,x2401)),x2402)
% 0.51/0.75 [241]~P6(x2412)+~P6(x2411)+~P17(x2411,x2412)+E(f5(f42(x2411,x2412),x2412),x2411)
% 0.51/0.75 [274]~P6(x2742)+~P6(x2741)+~P16(x2741,x2742)+E(f5(f5(f41(x2741,x2742),x2742),f40(x2742,x2741)),x2741)
% 0.51/0.75 [273]~P6(x2731)+~P7(x2732)+~P13(x2731,x2732)+E(f5(f39(x2731,x2732),f6(x2732,f38(x2732,x2731))),x2731)
% 0.51/0.75 [263]~P6(x2633)+~P6(x2632)+~P7(x2631)+E(f5(f6(x2631,x2632),x2633),f6(x2631,f5(x2632,x2633)))
% 0.51/0.75 [264]~P6(x2641)+~P6(x2642)+~P6(x2643)+E(f5(f5(x2641,x2642),x2643),f5(x2641,f5(x2642,x2643)))
% 0.51/0.75 [221]P14(x2211,x2212)+~P7(x2212)+~P7(x2211)+~P11(x2211,x2212)+E(x2211,x2212)
% 0.51/0.75 [226]~P6(x2262)+~P6(x2261)+~P16(x2262,x2261)+~P16(x2261,x2262)+E(x2261,x2262)
% 0.51/0.75 [227]~P6(x2272)+~P6(x2271)+~P17(x2272,x2271)+~P17(x2271,x2272)+E(x2271,x2272)
% 0.51/0.75 [228]~P6(x2282)+~P6(x2281)+~P9(x2282,x2281)+~P9(x2281,x2282)+E(x2281,x2282)
% 0.51/0.75 [229]~P7(x2292)+~P7(x2291)+~P10(x2292,x2291)+~P10(x2291,x2292)+E(x2291,x2292)
% 0.51/0.75 [230]~P7(x2302)+~P7(x2301)+~P11(x2302,x2301)+~P11(x2301,x2302)+E(x2301,x2302)
% 0.51/0.75 [180]~P6(x1802)+~P6(x1801)+~E(a3,x1802)+~E(a3,x1801)+E(f5(x1801,x1802),a3)
% 0.51/0.75 [236]P4(x2361)+~P6(x2361)+~P7(x2362)+E(a3,x2361)+~P4(f6(x2362,x2361))
% 0.51/0.75 [237]P18(x2371)+~P6(x2371)+~P7(x2372)+E(a3,x2371)+~P18(f6(x2372,x2371))
% 0.51/0.75 [250]~P6(x2501)+~P7(x2502)+E(a3,x2501)+P11(x2502,f4(x2501))+~P18(f6(x2502,x2501))
% 0.51/0.75 [251]~P6(x2511)+~P7(x2512)+E(a3,x2511)+P14(x2512,f4(x2511))+~P4(f6(x2512,x2511))
% 0.51/0.75 [224]~P6(x2241)+~P6(x2242)+~P6(x2243)+P17(x2241,x2242)+~E(f5(x2243,x2242),x2241)
% 0.51/0.75 [225]~P6(x2251)+~P6(x2253)+~P6(x2252)+P9(x2251,x2252)+~E(f5(x2252,x2253),x2251)
% 0.51/0.75 [232]~E(x2323,x2321)+~P6(x2322)+~P7(x2321)+~P7(x2323)+P13(f6(x2321,x2322),x2323)
% 0.51/0.75 [234]~P6(x2342)+~P6(x2341)+~P6(x2343)+E(x2341,x2342)+~E(f5(x2343,x2341),f5(x2343,x2342))
% 0.51/0.75 [235]~P6(x2352)+~P6(x2353)+~P6(x2351)+E(x2351,x2352)+~E(f5(x2351,x2353),f5(x2352,x2353))
% 0.51/0.75 [252]~P6(x2521)+~P6(x2523)+~P6(x2522)+~P17(x2522,x2523)+P17(f5(x2521,x2522),x2523)
% 0.51/0.75 [253]~P6(x2532)+~P6(x2533)+~P6(x2531)+~P9(x2531,x2533)+P9(f5(x2531,x2532),x2533)
% 0.51/0.75 [254]~P6(x2542)+~P7(x2541)+~P7(x2543)+~P13(x2542,x2543)+P13(f6(x2541,x2542),x2543)
% 0.51/0.75 [255]~P6(x2551)+~P6(x2552)+~P7(x2553)+~P13(x2552,x2553)+P13(f5(x2551,x2552),x2553)
% 0.51/0.75 [256]~P6(x2562)+~P6(x2561)+~P7(x2563)+~P13(x2561,x2563)+P13(f5(x2561,x2562),x2563)
% 0.51/0.75 [257]~P4(x2571)+~P6(x2571)+~P7(x2572)+~P14(x2572,f4(x2571))+E(a3,x2571)+P4(f6(x2572,x2571))
% 0.51/0.75 [258]~P18(x2581)+~P6(x2581)+~P7(x2582)+~P11(x2582,f4(x2581))+E(a3,x2581)+P18(f6(x2582,x2581))
% 0.51/0.75 [242]~P7(x2422)+~P7(x2421)+~P10(x2423,x2422)+~P10(x2421,x2423)+P10(x2421,x2422)+~P7(x2423)
% 0.51/0.75 [243]~P6(x2432)+~P6(x2431)+~P16(x2433,x2432)+~P16(x2431,x2433)+P16(x2431,x2432)+~P6(x2433)
% 0.51/0.75 [244]~P6(x2442)+~P6(x2441)+~P17(x2443,x2442)+~P17(x2441,x2443)+P17(x2441,x2442)+~P6(x2443)
% 0.51/0.75 [245]~P6(x2452)+~P6(x2451)+~P9(x2453,x2452)+~P9(x2451,x2453)+P9(x2451,x2452)+~P6(x2453)
% 0.51/0.75 [246]~P7(x2462)+~P7(x2461)+~P11(x2463,x2462)+~P11(x2461,x2463)+P11(x2461,x2462)+~P7(x2463)
% 0.51/0.75 [247]~P7(x2472)+~P7(x2471)+~P11(x2471,x2473)+~P14(x2473,x2472)+P14(x2471,x2472)+~P7(x2473)
% 0.51/0.75 [248]~P7(x2482)+~P7(x2481)+~P14(x2483,x2482)+~P14(x2481,x2483)+P14(x2481,x2482)+~P7(x2483)
% 0.51/0.75 [249]~P7(x2492)+~P7(x2491)+~P12(x2493,x2492)+~P12(x2491,x2493)+P12(x2491,x2492)+~P7(x2493)
% 0.51/0.75 [265]~P6(x2653)+~P7(x2652)+~P7(x2651)+E(x2651,x2652)+P13(x2653,x2652)+~P13(f6(x2651,x2653),x2652)
% 0.51/0.75 [268]~P6(x2681)+~P6(x2683)+~P7(x2682)+P13(x2681,x2682)+P13(x2683,x2682)+~P13(f5(x2683,x2681),x2682)
% 0.51/0.75 [290]~P6(x2901)+~P6(x2903)+~P7(x2902)+~P8(a8,a3)+~E(f5(f5(x2903,f6(x2902,a3)),x2901),a7)+~E(f5(f5(x2901,f6(x2902,a3)),x2903),a2)
% 0.51/0.75 [238]~P6(x2382)+~P6(x2381)+~P7(x2384)+~P7(x2383)+E(x2381,x2382)+~E(f6(x2383,x2381),f6(x2384,x2382))
% 0.51/0.75 [239]~P6(x2394)+~P6(x2393)+~P7(x2392)+~P7(x2391)+E(x2391,x2392)+~E(f6(x2391,x2393),f6(x2392,x2394))
% 0.51/0.75 [270]~P7(x2702)+~P7(x2701)+E(x2701,x2702)+~P6(x2703)+~P6(x2704)+~P9(f6(x2701,x2704),f6(x2702,x2703))
% 0.51/0.75 [272]~P6(x2722)+~P6(x2721)+P9(x2721,x2722)+~P7(x2723)+~P7(x2724)+~P9(f6(x2724,x2721),f6(x2723,x2722))
% 0.51/0.75 [266]~P6(x2661)+~P6(x2664)+~P6(x2663)+~P7(x2662)+P13(x2661,x2662)+~E(f5(x2663,f6(x2662,x2664)),x2661)
% 0.51/0.75 [267]~P6(x2671)+~P6(x2674)+~P6(x2672)+~P6(x2673)+P16(x2671,x2672)+~E(f5(f5(x2673,x2672),x2674),x2671)
% 0.51/0.75 [271]~P6(x2711)+~P6(x2713)+~P6(x2714)+~P6(x2712)+~P16(x2712,x2714)+P16(f5(f5(x2711,x2712),x2713),x2714)
% 0.51/0.75 [205]~P6(x2052)+~P6(x2051)+E(x2051,x2052)+E(a3,x2052)+E(a3,x2051)+~E(f56(x2051),f56(x2052))+~E(f4(x2051),f4(x2052))
% 0.51/0.75 [269]~E(x2691,x2693)+~P6(x2694)+~P6(x2692)+~P7(x2693)+~P7(x2691)+~P9(x2692,x2694)+P9(f6(x2691,x2692),f6(x2693,x2694))
% 0.51/0.75 [283]~P2(x2835)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P6(x2831)+~P7(x2832)+~E(f5(f5(x2831,f6(x2832,x2833)),f6(x2832,x2834)),x2835)
% 0.51/0.75 [276]~P1(x2765)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2762)+~P7(x2761)+E(x2761,x2762)+~E(f5(x2763,f6(x2761,f6(x2762,x2764))),x2765)
% 0.51/0.75 [284]~P18(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2842)+~P7(x2841)+P11(x2841,x2842)+~E(f5(f5(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 0.51/0.75 [285]~P4(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2852)+~P7(x2851)+P14(x2851,x2852)+~E(f5(f5(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 0.51/0.75 [286]P11(x2862,x2861)+~P19(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2864)+~P6(x2863)+~P7(x2861)+~P7(x2862)+P11(x2861,x2862)+~E(f5(f5(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 0.51/0.75 [287]P14(x2872,x2871)+~P5(x2876)+~P6(x2876)+~P6(x2875)+~P6(x2874)+~P6(x2873)+~P7(x2871)+~P7(x2872)+P14(x2871,x2872)+~E(f5(f5(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 0.51/0.75 [288]~P3(x2886)+~P6(x2886)+~P6(x2885)+~P6(x2883)+~P6(x2881)+~P7(x2884)+~P7(x2882)+~P11(x2884,x2882)+~P11(x2882,x2884)+~E(f5(f5(x2881,f6(x2882,x2883)),f6(x2884,x2885)),x2886)
% 0.51/0.75 %EqnAxiom
% 0.51/0.75 [1]E(x11,x11)
% 0.51/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.51/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.51/0.75 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 0.51/0.75 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.51/0.75 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 0.51/0.75 [7]~E(x71,x72)+E(f17(x71),f17(x72))
% 0.51/0.75 [8]~E(x81,x82)+E(f18(x81),f18(x82))
% 0.51/0.75 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 0.51/0.75 [10]~E(x101,x102)+E(f20(x101),f20(x102))
% 0.51/0.75 [11]~E(x111,x112)+E(f21(x111),f21(x112))
% 0.51/0.75 [12]~E(x121,x122)+E(f22(x121),f22(x122))
% 0.51/0.75 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 0.51/0.75 [14]~E(x141,x142)+E(f24(x141),f24(x142))
% 0.51/0.75 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 0.51/0.75 [16]~E(x161,x162)+E(f26(x161),f26(x162))
% 0.51/0.75 [17]~E(x171,x172)+E(f27(x171),f27(x172))
% 0.51/0.75 [18]~E(x181,x182)+E(f28(x181),f28(x182))
% 0.51/0.75 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 0.51/0.75 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 0.51/0.75 [21]~E(x211,x212)+E(f31(x211),f31(x212))
% 0.51/0.75 [22]~E(x221,x222)+E(f32(x221),f32(x222))
% 0.51/0.75 [23]~E(x231,x232)+E(f33(x231),f33(x232))
% 0.51/0.75 [24]~E(x241,x242)+E(f34(x241),f34(x242))
% 0.51/0.75 [25]~E(x251,x252)+E(f55(x251),f55(x252))
% 0.51/0.75 [26]~E(x261,x262)+E(f53(x261),f53(x262))
% 0.51/0.75 [27]~E(x271,x272)+E(f54(x271),f54(x272))
% 0.51/0.75 [28]~E(x281,x282)+E(f52(x281),f52(x282))
% 0.51/0.75 [29]~E(x291,x292)+E(f50(x291),f50(x292))
% 0.51/0.75 [30]~E(x301,x302)+E(f51(x301),f51(x302))
% 0.51/0.75 [31]~E(x311,x312)+E(f48(x311),f48(x312))
% 0.51/0.75 [32]~E(x321,x322)+E(f49(x321),f49(x322))
% 0.51/0.75 [33]~E(x331,x332)+E(f46(x331),f46(x332))
% 0.51/0.75 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 0.51/0.75 [35]~E(x351,x352)+E(f44(x351),f44(x352))
% 0.51/0.75 [36]~E(x361,x362)+E(f45(x361),f45(x362))
% 0.51/0.75 [37]~E(x371,x372)+E(f35(x371),f35(x372))
% 0.51/0.75 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 0.51/0.75 [39]~E(x391,x392)+E(f37(x391),f37(x392))
% 0.51/0.75 [40]~E(x401,x402)+E(f40(x401,x403),f40(x402,x403))
% 0.51/0.75 [41]~E(x411,x412)+E(f40(x413,x411),f40(x413,x412))
% 0.51/0.75 [42]~E(x421,x422)+E(f41(x421,x423),f41(x422,x423))
% 0.51/0.75 [43]~E(x431,x432)+E(f41(x433,x431),f41(x433,x432))
% 0.51/0.75 [44]~E(x441,x442)+E(f42(x441,x443),f42(x442,x443))
% 0.51/0.75 [45]~E(x451,x452)+E(f42(x453,x451),f42(x453,x452))
% 0.51/0.75 [46]~E(x461,x462)+E(f43(x461,x463),f43(x462,x463))
% 0.51/0.75 [47]~E(x471,x472)+E(f43(x473,x471),f43(x473,x472))
% 0.51/0.75 [48]~E(x481,x482)+E(f38(x481,x483),f38(x482,x483))
% 0.51/0.75 [49]~E(x491,x492)+E(f38(x493,x491),f38(x493,x492))
% 0.51/0.75 [50]~E(x501,x502)+E(f39(x501,x503),f39(x502,x503))
% 0.51/0.75 [51]~E(x511,x512)+E(f39(x513,x511),f39(x513,x512))
% 0.51/0.75 [52]~E(x521,x522)+E(f56(x521),f56(x522))
% 0.51/0.75 [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.51/0.75 [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.51/0.75 [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.51/0.75 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.51/0.75 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.51/0.75 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.51/0.75 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.51/0.75 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.51/0.75 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.51/0.75 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.51/0.75 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.51/0.75 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.51/0.75 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.51/0.75 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.51/0.75 [67]P13(x672,x673)+~E(x671,x672)+~P13(x671,x673)
% 0.51/0.75 [68]P13(x683,x682)+~E(x681,x682)+~P13(x683,x681)
% 0.51/0.75 [69]P11(x692,x693)+~E(x691,x692)+~P11(x691,x693)
% 0.51/0.75 [70]P11(x703,x702)+~E(x701,x702)+~P11(x703,x701)
% 0.51/0.75 [71]P14(x712,x713)+~E(x711,x712)+~P14(x711,x713)
% 0.51/0.75 [72]P14(x723,x722)+~E(x721,x722)+~P14(x723,x721)
% 0.51/0.75 [73]P8(x732,x733)+~E(x731,x732)+~P8(x731,x733)
% 0.51/0.75 [74]P8(x743,x742)+~E(x741,x742)+~P8(x743,x741)
% 0.51/0.75 [75]P10(x752,x753)+~E(x751,x752)+~P10(x751,x753)
% 0.51/0.75 [76]P10(x763,x762)+~E(x761,x762)+~P10(x763,x761)
% 0.51/0.75 [77]P12(x772,x773)+~E(x771,x772)+~P12(x771,x773)
% 0.51/0.75 [78]P12(x783,x782)+~E(x781,x782)+~P12(x783,x781)
% 0.51/0.75 [79]P17(x792,x793)+~E(x791,x792)+~P17(x791,x793)
% 0.51/0.75 [80]P17(x803,x802)+~E(x801,x802)+~P17(x803,x801)
% 0.51/0.75 [81]P16(x812,x813)+~E(x811,x812)+~P16(x811,x813)
% 0.51/0.75 [82]P16(x823,x822)+~E(x821,x822)+~P16(x823,x821)
% 0.51/0.75 [83]P9(x832,x833)+~E(x831,x832)+~P9(x831,x833)
% 0.51/0.75 [84]P9(x843,x842)+~E(x841,x842)+~P9(x843,x841)
% 0.51/0.75 [85]~P15(x851)+P15(x852)+~E(x851,x852)
% 0.51/0.75
% 0.51/0.75 %-------------------------------------------
% 0.51/0.75 cnf(295,plain,
% 0.51/0.75 (~P8(x2951,x2951)+~P6(x2951)+~P6(x2951)),
% 0.51/0.75 inference(equality_inference,[],[198])).
% 0.51/0.75 cnf(297,plain,
% 0.51/0.75 (~P8(x2971,x2971)+~P7(x2971)+~P7(x2971)),
% 0.51/0.75 inference(equality_inference,[],[200])).
% 0.51/0.75 cnf(324,plain,
% 0.51/0.75 (P8(a8,a3)),
% 0.51/0.75 inference(scs_inference,[],[86,87,96,138,100,2,177,295,297,73])).
% 0.51/0.75 cnf(347,plain,
% 0.51/0.75 (P6(a11)),
% 0.51/0.75 inference(scs_inference,[],[324,160])).
% 0.51/0.75 cnf(348,plain,
% 0.51/0.75 (P6(a13)),
% 0.51/0.75 inference(scs_inference,[],[324,161])).
% 0.51/0.75 cnf(349,plain,
% 0.51/0.75 (P7(a12)),
% 0.51/0.75 inference(scs_inference,[],[324,162])).
% 0.51/0.75 cnf(350,plain,
% 0.51/0.75 (E(f5(f5(a11,f6(a12,a3)),a13),a8)),
% 0.51/0.75 inference(scs_inference,[],[324,261])).
% 0.51/0.75 cnf(351,plain,
% 0.51/0.75 (E(f5(f5(a13,f6(a12,a3)),a11),a1)),
% 0.51/0.75 inference(scs_inference,[],[324,262])).
% 0.51/0.75 cnf(352,plain,
% 0.51/0.75 (~P6(x3521)+~P6(x3522)+~P7(x3523)+~E(f5(f5(x3521,f6(x3523,a3)),x3522),a2)+~E(f5(f5(x3522,f6(x3523,a3)),x3521),a7)),
% 0.51/0.75 inference(scs_inference,[],[324,290])).
% 0.51/0.75 cnf(355,plain,
% 0.51/0.75 (E(a8,a7)),
% 0.51/0.75 inference(scs_inference,[],[87,101,177,2])).
% 0.51/0.75 cnf(379,plain,
% 0.51/0.75 (~E(f5(f5(a11,f6(a12,a3)),a13),a7)),
% 0.51/0.75 inference(scs_inference,[],[86,138,351,97,98,347,348,349,177,2,65,295,297,3,74,352])).
% 0.51/0.75 cnf(395,plain,
% 0.51/0.75 ($false),
% 0.51/0.75 inference(scs_inference,[],[379,350,99,355,123,177,2,295,65,297,3]),
% 0.51/0.75 ['proof']).
% 0.51/0.75 % SZS output end Proof
% 0.51/0.75 % Total time :0.100000s
%------------------------------------------------------------------------------