%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC384-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 16:15:19 EDT 2024
% Result : Unsatisfiable 0.65s 0.76s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWC384-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 04:35:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.57 start to proof:theBenchmark
% 0.65/0.75 %-------------------------------------------
% 0.65/0.75 % File :CSE---1.7
% 0.65/0.75 % Problem :theBenchmark
% 0.65/0.75 % Transform :cnf
% 0.65/0.75 % Format :tptp:raw
% 0.65/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.65/0.75
% 0.65/0.75 % Result :Theorem 0.080000s
% 0.65/0.75 % Output :CNFRefutation 0.080000s
% 0.65/0.75 %-------------------------------------------
% 0.65/0.75 %--------------------------------------------------------------------------
% 0.65/0.75 % File : SWC384-1 : TPTP v8.2.0. Released v2.4.0.
% 0.65/0.75 % Domain : Software Creation
% 0.65/0.75 % Problem : cond_some2_x_pivot
% 0.65/0.75 % Version : [Wei00] axioms.
% 0.65/0.75 % English : Find components in a software library that match a given target
% 0.65/0.75 % specification given in first-order logic. The components are
% 0.65/0.75 % specified in first-order logic as well. The problem represents
% 0.65/0.75 % a test of one library module specification against a target
% 0.65/0.75 % specification.
% 0.65/0.75
% 0.65/0.75 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.65/0.75 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.65/0.75 % Source : [TPTP]
% 0.65/0.75 % Names :
% 0.65/0.75
% 0.65/0.75 % Status : Unsatisfiable
% 0.65/0.75 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 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, 0.40 v6.1.0, 0.50 v6.0.0, 0.60 v5.5.0, 0.75 v5.3.0, 0.72 v5.2.0, 0.75 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0, 0.54 v4.0.1, 0.45 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.42 v3.3.0, 0.43 v3.2.0, 0.54 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.67 v2.5.0, 0.78 v2.4.0
% 0.65/0.75 % Syntax : Number of clauses : 207 ( 61 unt; 43 nHn; 164 RR)
% 0.65/0.75 % Number of literals : 649 ( 118 equ; 412 neg)
% 0.65/0.75 % Maximal clause size : 10 ( 3 avg)
% 0.65/0.75 % Maximal term depth : 5 ( 1 avg)
% 0.65/0.75 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.65/0.75 % Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% 0.65/0.75 % Number of variables : 330 ( 49 sgn)
% 0.65/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.65/0.75
% 0.65/0.75 % Comments : Created by CNF conversion from SWC384+1
% 0.65/0.75 %--------------------------------------------------------------------------
% 0.65/0.75 %----Include list specification axioms
% 0.65/0.75 include('Axioms/SWC001-0.ax').
% 0.65/0.75 %--------------------------------------------------------------------------
% 0.65/0.75 cnf(co1_1,negated_conjecture,
% 0.65/0.75 ssList(sk1) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_2,negated_conjecture,
% 0.65/0.75 ssList(sk2) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_3,negated_conjecture,
% 0.65/0.75 ssList(sk3) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_4,negated_conjecture,
% 0.65/0.75 ssList(sk4) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_5,negated_conjecture,
% 0.65/0.75 sk2 = sk4 ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_6,negated_conjecture,
% 0.65/0.75 sk1 = sk3 ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_7,negated_conjecture,
% 0.65/0.75 neq(sk2,nil) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_8,negated_conjecture,
% 0.65/0.75 ( ssItem(sk5)
% 0.65/0.75 | nil = sk4 ) ).
% 0.65/0.75
% 0.65/0.75 cnf(co1_9,negated_conjecture,
% 0.65/0.75 ( ssItem(sk5)
% 0.65/0.75 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_10,negated_conjecture,
% 0.65/0.76 ( ssList(sk6)
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_11,negated_conjecture,
% 0.65/0.76 ( ssList(sk7)
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_12,negated_conjecture,
% 0.65/0.76 ( cons(sk5,nil) = sk3
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_13,negated_conjecture,
% 0.65/0.76 ( app(app(sk6,sk3),sk7) = sk4
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_14,negated_conjecture,
% 0.65/0.76 ( ~ ssItem(A)
% 0.65/0.76 | ~ memberP(sk6,A)
% 0.65/0.76 | ~ lt(sk5,A)
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_15,negated_conjecture,
% 0.65/0.76 ( ~ ssItem(A)
% 0.65/0.76 | ~ memberP(sk7,A)
% 0.65/0.76 | ~ lt(A,sk5)
% 0.65/0.76 | nil = sk4 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_16,negated_conjecture,
% 0.65/0.76 ( ssList(sk6)
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_17,negated_conjecture,
% 0.65/0.76 ( ssList(sk7)
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_18,negated_conjecture,
% 0.65/0.76 ( cons(sk5,nil) = sk3
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_19,negated_conjecture,
% 0.65/0.76 ( app(app(sk6,sk3),sk7) = sk4
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_20,negated_conjecture,
% 0.65/0.76 ( ~ ssItem(A)
% 0.65/0.76 | ~ memberP(sk6,A)
% 0.65/0.76 | ~ lt(sk5,A)
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_21,negated_conjecture,
% 0.65/0.76 ( ~ ssItem(A)
% 0.65/0.76 | ~ memberP(sk7,A)
% 0.65/0.76 | ~ lt(A,sk5)
% 0.65/0.76 | nil = sk3 ) ).
% 0.65/0.76
% 0.65/0.76 cnf(co1_22,negated_conjecture,
% 0.65/0.76 ( ~ singletonP(sk1)
% 0.65/0.76 | ~ segmentP(sk2,sk1) ) ).
% 0.65/0.76
% 0.65/0.76 %--------------------------------------------------------------------------
% 0.65/0.76 %-------------------------------------------
% 0.65/0.76 % Proof found
% 0.65/0.76 % SZS status Theorem for theBenchmark
% 0.65/0.76 % SZS output start Proof
% 0.65/0.76 %ClaNum:292(EqnAxiom:85)
% 0.65/0.76 %VarNum:903(SingletonVarNum:326)
% 0.71/0.76 %MaxLitNum:10
% 0.71/0.76 %MaxfuncDepth:4
% 0.71/0.76 %SharedTerms:41
% 0.71/0.76 %goalClause: 86 87 96 97 98 99 138 147 148 149 150 151 152 153 154 173 182 183 212 213 214 215
% 0.71/0.76 %singleGoalClaCount:7
% 0.71/0.76 [86]E(a1,a2)
% 0.71/0.76 [87]E(a7,a8)
% 0.71/0.76 [88]P1(a3)
% 0.71/0.76 [89]P2(a3)
% 0.71/0.76 [90]P4(a3)
% 0.71/0.76 [91]P18(a3)
% 0.71/0.76 [92]P5(a3)
% 0.71/0.76 [93]P19(a3)
% 0.71/0.76 [94]P3(a3)
% 0.71/0.76 [95]P6(a3)
% 0.71/0.76 [96]P6(a2)
% 0.71/0.76 [97]P6(a7)
% 0.71/0.76 [98]P6(a1)
% 0.71/0.76 [99]P6(a8)
% 0.71/0.76 [100]P7(a9)
% 0.71/0.76 [101]P7(a10)
% 0.71/0.76 [138]P8(a7,a3)
% 0.71/0.76 [145]~E(a10,a9)
% 0.71/0.76 [146]~P15(a3)
% 0.71/0.76 [102]P6(f14(x1021))
% 0.71/0.76 [103]P6(f15(x1031))
% 0.71/0.76 [104]P6(f16(x1041))
% 0.71/0.76 [105]P6(f17(x1051))
% 0.71/0.76 [106]P6(f18(x1061))
% 0.71/0.76 [107]P6(f19(x1071))
% 0.71/0.76 [108]P6(f20(x1081))
% 0.71/0.76 [109]P6(f21(x1091))
% 0.71/0.76 [110]P6(f22(x1101))
% 0.71/0.76 [111]P6(f23(x1111))
% 0.71/0.76 [112]P6(f24(x1121))
% 0.71/0.76 [113]P6(f25(x1131))
% 0.71/0.76 [114]P6(f26(x1141))
% 0.71/0.76 [115]P6(f27(x1151))
% 0.71/0.76 [116]P6(f28(x1161))
% 0.71/0.76 [117]P6(f29(x1171))
% 0.71/0.76 [118]P6(f30(x1181))
% 0.71/0.76 [119]P6(f31(x1191))
% 0.71/0.76 [120]P6(f32(x1201))
% 0.71/0.76 [121]P6(f33(x1211))
% 0.71/0.76 [122]P6(f34(x1221))
% 0.71/0.76 [123]P7(f55(x1231))
% 0.71/0.76 [124]P7(f53(x1241))
% 0.71/0.76 [125]P7(f54(x1251))
% 0.71/0.76 [126]P7(f52(x1261))
% 0.71/0.76 [127]P7(f50(x1271))
% 0.71/0.76 [128]P7(f51(x1281))
% 0.71/0.76 [129]P7(f48(x1291))
% 0.71/0.76 [130]P7(f49(x1301))
% 0.71/0.76 [131]P7(f46(x1311))
% 0.71/0.76 [132]P7(f47(x1321))
% 0.71/0.76 [133]P7(f44(x1331))
% 0.71/0.76 [134]P7(f45(x1341))
% 0.71/0.76 [135]P7(f35(x1351))
% 0.71/0.76 [136]P7(f36(x1361))
% 0.71/0.76 [137]P7(f37(x1371))
% 0.71/0.76 [139]P6(f40(x1391,x1392))
% 0.71/0.76 [140]P6(f41(x1401,x1402))
% 0.71/0.76 [141]P6(f42(x1411,x1412))
% 0.71/0.76 [142]P6(f43(x1421,x1422))
% 0.71/0.76 [143]P6(f38(x1431,x1432))
% 0.71/0.76 [144]P6(f39(x1441,x1442))
% 0.71/0.76 [147]E(a1,a3)+P6(a11)
% 0.71/0.76 [148]E(a1,a3)+P6(a13)
% 0.71/0.76 [149]E(a1,a3)+P7(a12)
% 0.71/0.76 [150]E(a3,a8)+P6(a11)
% 0.71/0.76 [151]E(a3,a8)+P6(a13)
% 0.71/0.76 [152]E(a3,a8)+P7(a12)
% 0.71/0.76 [173]~P15(a2)+~P16(a7,a2)
% 0.71/0.76 [153]E(a1,a3)+E(f4(a12,a3),a1)
% 0.71/0.76 [154]E(a3,a8)+E(f4(a12,a3),a1)
% 0.71/0.76 [182]E(a1,a3)+E(f5(f5(a11,a1),a13),a8)
% 0.71/0.76 [183]E(a3,a8)+E(f5(f5(a11,a1),a13),a8)
% 0.71/0.76 [160]~P6(x1601)+P16(x1601,a3)
% 0.71/0.76 [161]~P6(x1611)+P17(x1611,a3)
% 0.71/0.76 [162]~P6(x1621)+P9(x1621,a3)
% 0.71/0.76 [165]~P7(x1651)+P10(x1651,x1651)
% 0.71/0.76 [166]~P6(x1661)+P16(x1661,x1661)
% 0.71/0.76 [167]~P6(x1671)+P17(x1671,x1671)
% 0.71/0.76 [168]~P6(x1681)+P9(x1681,x1681)
% 0.71/0.76 [169]~P7(x1691)+P11(x1691,x1691)
% 0.71/0.76 [175]~P7(x1751)+~P13(a3,x1751)
% 0.71/0.76 [179]~P14(x1791,x1791)+~P7(x1791)
% 0.71/0.76 [163]~P6(x1631)+E(f5(x1631,a3),x1631)
% 0.71/0.76 [164]~P6(x1641)+E(f5(a3,x1641),x1641)
% 0.71/0.76 [186]~P7(x1861)+P1(f4(x1861,a3))
% 0.71/0.76 [187]~P7(x1871)+P2(f4(x1871,a3))
% 0.71/0.76 [188]~P7(x1881)+P4(f4(x1881,a3))
% 0.71/0.76 [189]~P7(x1891)+P18(f4(x1891,a3))
% 0.71/0.76 [190]~P7(x1901)+P5(f4(x1901,a3))
% 0.71/0.76 [191]~P7(x1911)+P19(f4(x1911,a3))
% 0.71/0.76 [192]~P7(x1921)+P3(f4(x1921,a3))
% 0.71/0.76 [170]~P6(x1701)+~E(a3,x1701)+P16(a3,x1701)
% 0.71/0.76 [171]~P6(x1711)+~E(a3,x1711)+P17(a3,x1711)
% 0.71/0.76 [172]~P6(x1721)+~E(a3,x1721)+P9(a3,x1721)
% 0.71/0.76 [176]~P6(x1761)+~P16(a3,x1761)+E(a3,x1761)
% 0.71/0.76 [177]~P6(x1771)+~P17(a3,x1771)+E(a3,x1771)
% 0.71/0.76 [178]~P6(x1781)+~P9(a3,x1781)+E(a3,x1781)
% 0.71/0.76 [157]~P6(x1571)+E(a3,x1571)+P6(f56(x1571))
% 0.71/0.76 [159]~P6(x1591)+E(a3,x1591)+P7(f6(x1591))
% 0.71/0.76 [174]~P6(x1741)+P1(x1741)+~E(f54(x1741),f53(x1741))
% 0.71/0.76 [197]~P6(x1971)+P3(x1971)+P11(f35(x1971),f36(x1971))
% 0.71/0.76 [198]~P6(x1981)+P3(x1981)+P11(f36(x1981),f35(x1981))
% 0.71/0.76 [222]~P6(x2221)+P4(x2221)+~P14(f51(x2221),f50(x2221))
% 0.71/0.76 [223]~P6(x2231)+P18(x2231)+~P11(f49(x2231),f48(x2231))
% 0.71/0.76 [224]~P6(x2241)+P5(x2241)+~P14(f46(x2241),f47(x2241))
% 0.71/0.76 [225]~P6(x2251)+P5(x2251)+~P14(f47(x2251),f46(x2251))
% 0.71/0.76 [226]~P6(x2261)+P19(x2261)+~P11(f44(x2261),f45(x2261))
% 0.71/0.76 [227]~P6(x2271)+P19(x2271)+~P11(f45(x2271),f44(x2271))
% 0.71/0.76 [185]~P6(x1851)+~P15(x1851)+E(f4(f37(x1851),a3),x1851)
% 0.71/0.76 [193]~P6(x1931)+E(a3,x1931)+E(f4(f55(x1931),f14(x1931)),x1931)
% 0.71/0.76 [194]~P6(x1941)+E(a3,x1941)+E(f4(f6(x1941),f56(x1941)),x1941)
% 0.71/0.76 [281]P2(x2811)+~P6(x2811)+E(f5(f5(f19(x2811),f4(f52(x2811),f18(x2811))),f4(f52(x2811),f17(x2811))),x2811)
% 0.71/0.76 [282]P4(x2821)+~P6(x2821)+E(f5(f5(f22(x2821),f4(f51(x2821),f21(x2821))),f4(f50(x2821),f20(x2821))),x2821)
% 0.71/0.76 [283]P18(x2831)+~P6(x2831)+E(f5(f5(f25(x2831),f4(f49(x2831),f24(x2831))),f4(f48(x2831),f23(x2831))),x2831)
% 0.71/0.76 [284]P5(x2841)+~P6(x2841)+E(f5(f5(f28(x2841),f4(f47(x2841),f27(x2841))),f4(f46(x2841),f26(x2841))),x2841)
% 0.71/0.76 [285]P19(x2851)+~P6(x2851)+E(f5(f5(f31(x2851),f4(f45(x2851),f30(x2851))),f4(f44(x2851),f29(x2851))),x2851)
% 0.71/0.76 [286]P3(x2861)+~P6(x2861)+E(f5(f5(f34(x2861),f4(f36(x2861),f33(x2861))),f4(f35(x2861),f32(x2861))),x2861)
% 0.71/0.76 [279]P1(x2791)+~P6(x2791)+E(f5(f16(x2791),f4(f54(x2791),f4(f53(x2791),f15(x2791)))),x2791)
% 0.71/0.76 [155]~P6(x1551)+P2(x1551)+P7(x1552)
% 0.71/0.76 [195]~P6(x1952)+~P7(x1951)+~E(f4(x1951,x1952),a3)
% 0.71/0.76 [196]~P6(x1962)+~P7(x1961)+~E(f4(x1961,x1962),x1962)
% 0.71/0.76 [205]~P6(x2052)+~P7(x2051)+P6(f4(x2051,x2052))
% 0.71/0.76 [206]~P6(x2061)+~P6(x2062)+P6(f5(x2061,x2062))
% 0.71/0.76 [207]~P6(x2072)+~P7(x2071)+E(f56(f4(x2071,x2072)),x2072)
% 0.71/0.76 [208]~P6(x2082)+~P7(x2081)+E(f6(f4(x2081,x2082)),x2081)
% 0.71/0.76 [239]~P6(x2392)+~P7(x2391)+E(f5(f4(x2391,a3),x2392),f4(x2391,x2392))
% 0.71/0.76 [212]~P7(x2121)+E(a1,a3)+~P14(x2121,a12)+~P13(a13,x2121)
% 0.71/0.76 [213]~P7(x2131)+E(a3,a8)+~P14(x2131,a12)+~P13(a13,x2131)
% 0.71/0.76 [214]~P7(x2141)+E(a1,a3)+~P14(a12,x2141)+~P13(a11,x2141)
% 0.71/0.76 [215]~P7(x2151)+E(a3,a8)+~P14(a12,x2151)+~P13(a11,x2151)
% 0.71/0.76 [180]P8(x1802,x1801)+~P6(x1802)+~P6(x1801)+E(x1801,x1802)
% 0.71/0.76 [181]P8(x1812,x1811)+~P7(x1812)+~P7(x1811)+E(x1811,x1812)
% 0.71/0.76 [202]~P6(x2022)+~P6(x2021)+~P8(x2021,x2022)+~E(x2021,x2022)
% 0.71/0.76 [203]~P7(x2032)+~P7(x2031)+~P14(x2031,x2032)+~E(x2031,x2032)
% 0.71/0.76 [204]~P7(x2042)+~P7(x2041)+~P8(x2041,x2042)+~E(x2041,x2042)
% 0.71/0.76 [217]~P7(x2171)+~P7(x2172)+~P11(x2172,x2171)+P10(x2171,x2172)
% 0.71/0.76 [218]~P7(x2181)+~P7(x2182)+~P10(x2182,x2181)+P11(x2181,x2182)
% 0.71/0.76 [219]~P7(x2192)+~P7(x2191)+~P14(x2191,x2192)+P11(x2191,x2192)
% 0.71/0.76 [220]~P7(x2201)+~P7(x2202)+~P12(x2202,x2201)+P14(x2201,x2202)
% 0.71/0.76 [221]~P7(x2211)+~P7(x2212)+~P14(x2212,x2211)+P12(x2211,x2212)
% 0.71/0.76 [230]~P14(x2301,x2302)+~P14(x2302,x2301)+~P7(x2301)+~P7(x2302)
% 0.71/0.76 [231]~P12(x2311,x2312)+~P12(x2312,x2311)+~P7(x2311)+~P7(x2312)
% 0.71/0.76 [199]~P6(x1991)+~P6(x1992)+E(a3,x1991)+~E(f5(x1992,x1991),a3)
% 0.71/0.76 [200]~P6(x2002)+~P6(x2001)+E(a3,x2001)+~E(f5(x2001,x2002),a3)
% 0.71/0.76 [201]~P6(x2011)+~P7(x2012)+P15(x2011)+~E(f4(x2012,a3),x2011)
% 0.71/0.76 [210]~P6(x2102)+~P7(x2101)+~E(a3,x2102)+P4(f4(x2101,x2102))
% 0.71/0.76 [211]~P6(x2112)+~P7(x2111)+~E(a3,x2112)+P18(f4(x2111,x2112))
% 0.71/0.76 [216]~P6(x2161)+~P6(x2162)+E(a3,x2161)+E(f6(f5(x2161,x2162)),f6(x2161))
% 0.71/0.76 [241]~P6(x2411)+~P6(x2412)+E(a3,x2411)+E(f56(f5(x2411,x2412)),f5(f56(x2411),x2412))
% 0.71/0.76 [248]~P6(x2481)+~P6(x2482)+~P9(x2482,x2481)+E(f5(x2481,f43(x2482,x2481)),x2482)
% 0.71/0.76 [249]~P6(x2492)+~P6(x2491)+~P17(x2491,x2492)+E(f5(f42(x2491,x2492),x2492),x2491)
% 0.71/0.76 [278]~P6(x2782)+~P6(x2781)+~P16(x2781,x2782)+E(f5(f5(f41(x2781,x2782),x2782),f40(x2782,x2781)),x2781)
% 0.71/0.76 [277]~P6(x2771)+~P7(x2772)+~P13(x2771,x2772)+E(f5(f39(x2771,x2772),f4(x2772,f38(x2772,x2771))),x2771)
% 0.71/0.76 [267]~P6(x2673)+~P6(x2672)+~P7(x2671)+E(f5(f4(x2671,x2672),x2673),f4(x2671,f5(x2672,x2673)))
% 0.71/0.76 [268]~P6(x2681)+~P6(x2682)+~P6(x2683)+E(f5(f5(x2681,x2682),x2683),f5(x2681,f5(x2682,x2683)))
% 0.71/0.76 [229]P14(x2291,x2292)+~P7(x2292)+~P7(x2291)+~P11(x2291,x2292)+E(x2291,x2292)
% 0.71/0.76 [234]~P6(x2342)+~P6(x2341)+~P16(x2342,x2341)+~P16(x2341,x2342)+E(x2341,x2342)
% 0.71/0.76 [235]~P6(x2352)+~P6(x2351)+~P17(x2352,x2351)+~P17(x2351,x2352)+E(x2351,x2352)
% 0.71/0.76 [236]~P6(x2362)+~P6(x2361)+~P9(x2362,x2361)+~P9(x2361,x2362)+E(x2361,x2362)
% 0.71/0.76 [237]~P7(x2372)+~P7(x2371)+~P10(x2372,x2371)+~P10(x2371,x2372)+E(x2371,x2372)
% 0.71/0.76 [238]~P7(x2382)+~P7(x2381)+~P11(x2382,x2381)+~P11(x2381,x2382)+E(x2381,x2382)
% 0.71/0.76 [184]~P6(x1842)+~P6(x1841)+~E(a3,x1842)+~E(a3,x1841)+E(f5(x1841,x1842),a3)
% 0.71/0.76 [244]P4(x2441)+~P6(x2441)+~P7(x2442)+E(a3,x2441)+~P4(f4(x2442,x2441))
% 0.71/0.76 [245]P18(x2451)+~P6(x2451)+~P7(x2452)+E(a3,x2451)+~P18(f4(x2452,x2451))
% 0.71/0.76 [258]~P6(x2581)+~P7(x2582)+E(a3,x2581)+P11(x2582,f6(x2581))+~P18(f4(x2582,x2581))
% 0.71/0.76 [259]~P6(x2591)+~P7(x2592)+E(a3,x2591)+P14(x2592,f6(x2591))+~P4(f4(x2592,x2591))
% 0.71/0.77 [232]~P6(x2321)+~P6(x2322)+~P6(x2323)+P17(x2321,x2322)+~E(f5(x2323,x2322),x2321)
% 0.71/0.77 [233]~P6(x2331)+~P6(x2333)+~P6(x2332)+P9(x2331,x2332)+~E(f5(x2332,x2333),x2331)
% 0.71/0.77 [240]~E(x2403,x2401)+~P6(x2402)+~P7(x2401)+~P7(x2403)+P13(f4(x2401,x2402),x2403)
% 0.71/0.77 [242]~P6(x2422)+~P6(x2421)+~P6(x2423)+E(x2421,x2422)+~E(f5(x2423,x2421),f5(x2423,x2422))
% 0.71/0.77 [243]~P6(x2432)+~P6(x2433)+~P6(x2431)+E(x2431,x2432)+~E(f5(x2431,x2433),f5(x2432,x2433))
% 0.71/0.77 [260]~P6(x2601)+~P6(x2603)+~P6(x2602)+~P17(x2602,x2603)+P17(f5(x2601,x2602),x2603)
% 0.71/0.77 [261]~P6(x2612)+~P6(x2613)+~P6(x2611)+~P9(x2611,x2613)+P9(f5(x2611,x2612),x2613)
% 0.71/0.77 [262]~P6(x2622)+~P7(x2621)+~P7(x2623)+~P13(x2622,x2623)+P13(f4(x2621,x2622),x2623)
% 0.71/0.77 [263]~P6(x2631)+~P6(x2632)+~P7(x2633)+~P13(x2632,x2633)+P13(f5(x2631,x2632),x2633)
% 0.71/0.77 [264]~P6(x2642)+~P6(x2641)+~P7(x2643)+~P13(x2641,x2643)+P13(f5(x2641,x2642),x2643)
% 0.71/0.77 [265]~P4(x2651)+~P6(x2651)+~P7(x2652)+~P14(x2652,f6(x2651))+E(a3,x2651)+P4(f4(x2652,x2651))
% 0.71/0.77 [266]~P18(x2661)+~P6(x2661)+~P7(x2662)+~P11(x2662,f6(x2661))+E(a3,x2661)+P18(f4(x2662,x2661))
% 0.71/0.77 [250]~P7(x2502)+~P7(x2501)+~P10(x2503,x2502)+~P10(x2501,x2503)+P10(x2501,x2502)+~P7(x2503)
% 0.71/0.77 [251]~P6(x2512)+~P6(x2511)+~P16(x2513,x2512)+~P16(x2511,x2513)+P16(x2511,x2512)+~P6(x2513)
% 0.71/0.77 [252]~P6(x2522)+~P6(x2521)+~P17(x2523,x2522)+~P17(x2521,x2523)+P17(x2521,x2522)+~P6(x2523)
% 0.71/0.77 [253]~P6(x2532)+~P6(x2531)+~P9(x2533,x2532)+~P9(x2531,x2533)+P9(x2531,x2532)+~P6(x2533)
% 0.71/0.77 [254]~P7(x2542)+~P7(x2541)+~P11(x2543,x2542)+~P11(x2541,x2543)+P11(x2541,x2542)+~P7(x2543)
% 0.71/0.77 [255]~P7(x2552)+~P7(x2551)+~P11(x2551,x2553)+~P14(x2553,x2552)+P14(x2551,x2552)+~P7(x2553)
% 0.71/0.77 [256]~P7(x2562)+~P7(x2561)+~P14(x2563,x2562)+~P14(x2561,x2563)+P14(x2561,x2562)+~P7(x2563)
% 0.71/0.77 [257]~P7(x2572)+~P7(x2571)+~P12(x2573,x2572)+~P12(x2571,x2573)+P12(x2571,x2572)+~P7(x2573)
% 0.71/0.77 [269]~P6(x2693)+~P7(x2692)+~P7(x2691)+E(x2691,x2692)+P13(x2693,x2692)+~P13(f4(x2691,x2693),x2692)
% 0.71/0.77 [272]~P6(x2721)+~P6(x2723)+~P7(x2722)+P13(x2721,x2722)+P13(x2723,x2722)+~P13(f5(x2723,x2721),x2722)
% 0.71/0.77 [246]~P6(x2462)+~P6(x2461)+~P7(x2464)+~P7(x2463)+E(x2461,x2462)+~E(f4(x2463,x2461),f4(x2464,x2462))
% 0.71/0.77 [247]~P6(x2474)+~P6(x2473)+~P7(x2472)+~P7(x2471)+E(x2471,x2472)+~E(f4(x2471,x2473),f4(x2472,x2474))
% 0.71/0.77 [274]~P7(x2742)+~P7(x2741)+E(x2741,x2742)+~P6(x2743)+~P6(x2744)+~P9(f4(x2741,x2744),f4(x2742,x2743))
% 0.71/0.77 [276]~P6(x2762)+~P6(x2761)+P9(x2761,x2762)+~P7(x2763)+~P7(x2764)+~P9(f4(x2764,x2761),f4(x2763,x2762))
% 0.71/0.77 [270]~P6(x2701)+~P6(x2704)+~P6(x2703)+~P7(x2702)+P13(x2701,x2702)+~E(f5(x2703,f4(x2702,x2704)),x2701)
% 0.71/0.77 [271]~P6(x2711)+~P6(x2714)+~P6(x2712)+~P6(x2713)+P16(x2711,x2712)+~E(f5(f5(x2713,x2712),x2714),x2711)
% 0.71/0.77 [275]~P6(x2751)+~P6(x2753)+~P6(x2754)+~P6(x2752)+~P16(x2752,x2754)+P16(f5(f5(x2751,x2752),x2753),x2754)
% 0.71/0.77 [209]~P6(x2092)+~P6(x2091)+E(x2091,x2092)+E(a3,x2092)+E(a3,x2091)+~E(f56(x2091),f56(x2092))+~E(f6(x2091),f6(x2092))
% 0.71/0.77 [273]~E(x2731,x2733)+~P6(x2734)+~P6(x2732)+~P7(x2733)+~P7(x2731)+~P9(x2732,x2734)+P9(f4(x2731,x2732),f4(x2733,x2734))
% 0.71/0.77 [287]~P2(x2875)+~P6(x2875)+~P6(x2874)+~P6(x2873)+~P6(x2871)+~P7(x2872)+~E(f5(f5(x2871,f4(x2872,x2873)),f4(x2872,x2874)),x2875)
% 0.71/0.77 [280]~P1(x2805)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+E(x2801,x2802)+~E(f5(x2803,f4(x2801,f4(x2802,x2804))),x2805)
% 0.71/0.77 [288]~P18(x2886)+~P6(x2886)+~P6(x2885)+~P6(x2884)+~P6(x2883)+~P7(x2882)+~P7(x2881)+P11(x2881,x2882)+~E(f5(f5(x2883,f4(x2881,x2884)),f4(x2882,x2885)),x2886)
% 0.71/0.77 [289]~P4(x2896)+~P6(x2896)+~P6(x2895)+~P6(x2894)+~P6(x2893)+~P7(x2892)+~P7(x2891)+P14(x2891,x2892)+~E(f5(f5(x2893,f4(x2891,x2894)),f4(x2892,x2895)),x2896)
% 0.71/0.77 [290]P11(x2902,x2901)+~P19(x2906)+~P6(x2906)+~P6(x2905)+~P6(x2904)+~P6(x2903)+~P7(x2901)+~P7(x2902)+P11(x2901,x2902)+~E(f5(f5(x2903,f4(x2902,x2904)),f4(x2901,x2905)),x2906)
% 0.71/0.77 [291]P14(x2912,x2911)+~P5(x2916)+~P6(x2916)+~P6(x2915)+~P6(x2914)+~P6(x2913)+~P7(x2911)+~P7(x2912)+P14(x2911,x2912)+~E(f5(f5(x2913,f4(x2912,x2914)),f4(x2911,x2915)),x2916)
% 0.71/0.77 [292]~P3(x2926)+~P6(x2926)+~P6(x2925)+~P6(x2923)+~P6(x2921)+~P7(x2924)+~P7(x2922)+~P11(x2924,x2922)+~P11(x2922,x2924)+~E(f5(f5(x2921,f4(x2922,x2923)),f4(x2924,x2925)),x2926)
% 0.71/0.77 %EqnAxiom
% 0.71/0.77 [1]E(x11,x11)
% 0.71/0.77 [2]E(x22,x21)+~E(x21,x22)
% 0.71/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.71/0.77 [4]~E(x41,x42)+E(f14(x41),f14(x42))
% 0.71/0.77 [5]~E(x51,x52)+E(f15(x51),f15(x52))
% 0.71/0.77 [6]~E(x61,x62)+E(f16(x61),f16(x62))
% 0.71/0.77 [7]~E(x71,x72)+E(f17(x71),f17(x72))
% 0.71/0.77 [8]~E(x81,x82)+E(f18(x81),f18(x82))
% 0.71/0.77 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 0.71/0.77 [10]~E(x101,x102)+E(f20(x101),f20(x102))
% 0.71/0.77 [11]~E(x111,x112)+E(f21(x111),f21(x112))
% 0.71/0.77 [12]~E(x121,x122)+E(f22(x121),f22(x122))
% 0.71/0.77 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 0.71/0.77 [14]~E(x141,x142)+E(f24(x141),f24(x142))
% 0.71/0.77 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 0.71/0.77 [16]~E(x161,x162)+E(f26(x161),f26(x162))
% 0.71/0.77 [17]~E(x171,x172)+E(f27(x171),f27(x172))
% 0.71/0.77 [18]~E(x181,x182)+E(f28(x181),f28(x182))
% 0.71/0.77 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 0.71/0.77 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 0.71/0.77 [21]~E(x211,x212)+E(f31(x211),f31(x212))
% 0.71/0.77 [22]~E(x221,x222)+E(f32(x221),f32(x222))
% 0.71/0.77 [23]~E(x231,x232)+E(f33(x231),f33(x232))
% 0.71/0.77 [24]~E(x241,x242)+E(f34(x241),f34(x242))
% 0.71/0.77 [25]~E(x251,x252)+E(f55(x251),f55(x252))
% 0.71/0.77 [26]~E(x261,x262)+E(f53(x261),f53(x262))
% 0.71/0.77 [27]~E(x271,x272)+E(f54(x271),f54(x272))
% 0.71/0.77 [28]~E(x281,x282)+E(f52(x281),f52(x282))
% 0.71/0.77 [29]~E(x291,x292)+E(f50(x291),f50(x292))
% 0.71/0.77 [30]~E(x301,x302)+E(f51(x301),f51(x302))
% 0.71/0.77 [31]~E(x311,x312)+E(f48(x311),f48(x312))
% 0.71/0.77 [32]~E(x321,x322)+E(f49(x321),f49(x322))
% 0.71/0.77 [33]~E(x331,x332)+E(f46(x331),f46(x332))
% 0.71/0.77 [34]~E(x341,x342)+E(f47(x341),f47(x342))
% 0.71/0.77 [35]~E(x351,x352)+E(f44(x351),f44(x352))
% 0.71/0.77 [36]~E(x361,x362)+E(f45(x361),f45(x362))
% 0.71/0.77 [37]~E(x371,x372)+E(f35(x371),f35(x372))
% 0.71/0.77 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 0.71/0.77 [39]~E(x391,x392)+E(f37(x391),f37(x392))
% 0.71/0.77 [40]~E(x401,x402)+E(f40(x401,x403),f40(x402,x403))
% 0.71/0.77 [41]~E(x411,x412)+E(f40(x413,x411),f40(x413,x412))
% 0.71/0.77 [42]~E(x421,x422)+E(f41(x421,x423),f41(x422,x423))
% 0.71/0.77 [43]~E(x431,x432)+E(f41(x433,x431),f41(x433,x432))
% 0.71/0.77 [44]~E(x441,x442)+E(f42(x441,x443),f42(x442,x443))
% 0.71/0.77 [45]~E(x451,x452)+E(f42(x453,x451),f42(x453,x452))
% 0.71/0.77 [46]~E(x461,x462)+E(f43(x461,x463),f43(x462,x463))
% 0.71/0.77 [47]~E(x471,x472)+E(f43(x473,x471),f43(x473,x472))
% 0.71/0.77 [48]~E(x481,x482)+E(f38(x481,x483),f38(x482,x483))
% 0.71/0.77 [49]~E(x491,x492)+E(f38(x493,x491),f38(x493,x492))
% 0.71/0.77 [50]~E(x501,x502)+E(f39(x501,x503),f39(x502,x503))
% 0.71/0.77 [51]~E(x511,x512)+E(f39(x513,x511),f39(x513,x512))
% 0.71/0.77 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 0.71/0.77 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 0.71/0.77 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 0.71/0.77 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 0.71/0.77 [56]~E(x561,x562)+E(f56(x561),f56(x562))
% 0.71/0.77 [57]~E(x571,x572)+E(f6(x571),f6(x572))
% 0.71/0.77 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.71/0.77 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.71/0.77 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.71/0.77 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.71/0.77 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.71/0.77 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.71/0.77 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.71/0.77 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.71/0.77 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.71/0.77 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.71/0.77 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.71/0.77 [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.71/0.77 [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.71/0.77 [71]P17(x712,x713)+~E(x711,x712)+~P17(x711,x713)
% 0.71/0.77 [72]P17(x723,x722)+~E(x721,x722)+~P17(x723,x721)
% 0.71/0.77 [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 0.71/0.77 [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 0.71/0.77 [75]P13(x752,x753)+~E(x751,x752)+~P13(x751,x753)
% 0.71/0.77 [76]P13(x763,x762)+~E(x761,x762)+~P13(x763,x761)
% 0.71/0.77 [77]P9(x772,x773)+~E(x771,x772)+~P9(x771,x773)
% 0.71/0.77 [78]P9(x783,x782)+~E(x781,x782)+~P9(x783,x781)
% 0.71/0.77 [79]P16(x792,x793)+~E(x791,x792)+~P16(x791,x793)
% 0.71/0.77 [80]P16(x803,x802)+~E(x801,x802)+~P16(x803,x801)
% 0.71/0.77 [81]~P15(x811)+P15(x812)+~E(x811,x812)
% 0.71/0.77 [82]P12(x822,x823)+~E(x821,x822)+~P12(x821,x823)
% 0.71/0.77 [83]P12(x833,x832)+~E(x831,x832)+~P12(x833,x831)
% 0.71/0.77 [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 0.71/0.77 [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 0.71/0.77
% 0.71/0.77 %-------------------------------------------
% 0.71/0.77 cnf(297,plain,
% 0.71/0.77 (~P8(x2971,x2971)+~P6(x2971)+~P6(x2971)),
% 0.71/0.77 inference(equality_inference,[],[202])).
% 0.71/0.77 cnf(299,plain,
% 0.71/0.77 (~P8(x2991,x2991)+~P7(x2991)+~P7(x2991)),
% 0.71/0.77 inference(equality_inference,[],[204])).
% 0.71/0.77 cnf(349,plain,
% 0.71/0.77 (E(a8,a7)),
% 0.71/0.77 inference(scs_inference,[],[87,2])).
% 0.71/0.77 cnf(372,plain,
% 0.71/0.77 (~E(a3,a8)),
% 0.71/0.77 inference(scs_inference,[],[138,97,349,123,179,297,299,85,3])).
% 0.71/0.77 cnf(375,plain,
% 0.71/0.77 (~P15(a1)+P15(a2)),
% 0.71/0.77 inference(scs_inference,[],[86,138,97,349,123,179,297,299,85,3,64,58,81])).
% 0.71/0.77 cnf(379,plain,
% 0.71/0.77 (P6(a11)),
% 0.71/0.77 inference(scs_inference,[],[372,150])).
% 0.71/0.77 cnf(380,plain,
% 0.71/0.77 (P6(a13)),
% 0.71/0.77 inference(scs_inference,[],[372,151])).
% 0.71/0.77 cnf(381,plain,
% 0.71/0.77 (P7(a12)),
% 0.71/0.77 inference(scs_inference,[],[372,152])).
% 0.71/0.77 cnf(382,plain,
% 0.71/0.77 (E(f4(a12,a3),a1)),
% 0.71/0.77 inference(scs_inference,[],[372,154])).
% 0.71/0.77 cnf(383,plain,
% 0.71/0.77 (E(f5(f5(a11,a1),a13),a8)),
% 0.71/0.77 inference(scs_inference,[],[372,183])).
% 0.71/0.77 cnf(413,plain,
% 0.71/0.77 (P16(a7,a1)),
% 0.71/0.77 inference(scs_inference,[],[86,379,380,382,383,98,99,349,381,2,179,65,297,299,3,201,271,375,80,79])).
% 0.71/0.77 cnf(415,plain,
% 0.71/0.77 (~P16(a7,a2)),
% 0.71/0.77 inference(scs_inference,[],[86,87,379,380,382,383,98,99,349,381,2,179,65,297,299,3,201,271,375,80,79,81,173])).
% 0.71/0.77 cnf(425,plain,
% 0.71/0.77 ($false),
% 0.71/0.77 inference(scs_inference,[],[86,415,383,99,413,125,2,179,65,80]),
% 0.71/0.77 ['proof']).
% 0.71/0.77 % SZS output end Proof
% 0.71/0.77 % Total time :0.080000s
%------------------------------------------------------------------------------