%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS112+1 : TPTP v8.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n013.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 10:08:32 EDT 2024 % Result : Unsatisfiable 0.55s 0.98s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : KRS112+1 : TPTP v8.2.0. Released v3.1.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n013.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 : Wed Jun 19 13:00:09 EDT 2024 % 0.13/0.35 % CPUTime : % 0.55/0.57 start to proof:theBenchmark % 0.55/0.97 %------------------------------------------- % 0.55/0.97 % File :CSE---1.7 % 0.55/0.97 % Problem :theBenchmark % 0.55/0.97 % Transform :cnf % 0.55/0.97 % Format :tptp:raw % 0.55/0.97 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.97 % 0.55/0.97 % Result :Theorem 0.350000s % 0.55/0.97 % Output :CNFRefutation 0.350000s % 0.55/0.97 %------------------------------------------- % 0.55/0.97 %------------------------------------------------------------------------------ % 0.55/0.97 % File : KRS112+1 : TPTP v8.2.0. Released v3.1.0. % 0.55/0.97 % Domain : Knowledge Representation (Semantic Web) % 0.55/0.97 % Problem : DL Test: t10.5 % 0.55/0.97 % Version : Especial. % 0.55/0.97 % English : % 0.55/0.97 % 0.55/0.97 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.55/0.97 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.55/0.97 % Source : [Bec03] % 0.55/0.97 % Names : inconsistent_description-logic-Manifest613 [Bec03] % 0.55/0.97 % 0.55/0.97 % Status : Unsatisfiable % 0.55/0.97 % Rating : 0.14 v8.2.0, 0.00 v3.1.0 % 0.55/0.97 % Syntax : Number of formulae : 39 ( 1 unt; 0 def) % 0.55/0.97 % Number of atoms : 109 ( 26 equ) % 0.55/0.97 % Maximal formula atoms : 5 ( 2 avg) % 0.55/0.97 % Number of connectives : 73 ( 3 ~; 0 |; 32 &) % 0.55/0.97 % ( 9 <=>; 29 =>; 0 <=; 0 <~>) % 0.55/0.97 % Maximal formula depth : 6 ( 5 avg) % 0.55/0.97 % Maximal term depth : 1 ( 1 avg) % 0.55/0.97 % Number of predicates : 17 ( 16 usr; 0 prp; 1-2 aty) % 0.55/0.97 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.55/0.97 % Number of variables : 92 ( 87 !; 5 ?) % 0.55/0.97 % SPC : FOF_UNS_RFO_SEQ % 0.55/0.97 % 0.55/0.97 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.55/0.97 % datatypes, so this problem may not be perfect. At least it's % 0.55/0.97 % still representative of the type of reasoning required for OWL. % 0.55/0.97 %------------------------------------------------------------------------------ % 0.55/0.97 fof(cUnsatisfiable_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & cUnsatisfiable(A) ) % 0.55/0.97 => cUnsatisfiable(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(ca_Ax2_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & ca_Ax2(A) ) % 0.55/0.97 => ca_Ax2(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(ca_Vx3_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & ca_Vx3(A) ) % 0.55/0.97 => ca_Vx3(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(cowlNothing_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & cowlNothing(A) ) % 0.55/0.97 => cowlNothing(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(cowlThing_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & cowlThing(A) ) % 0.55/0.97 => cowlThing(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(cp_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & cp(A) ) % 0.55/0.97 => cp(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(cpxcomp_substitution_1,axiom, % 0.55/0.97 ! [A,B] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & cpxcomp(A) ) % 0.55/0.97 => cpxcomp(B) ) ). % 0.55/0.97 % 0.55/0.97 fof(ra_Px1_substitution_1,axiom, % 0.55/0.97 ! [A,B,C] : % 0.55/0.97 ( ( A = B % 0.55/0.97 & ra_Px1(A,C) ) % 0.55/0.97 => ra_Px1(B,C) ) ). % 0.55/0.97 % 0.55/0.97 fof(ra_Px1_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & ra_Px1(C,A) ) % 0.55/0.98 => ra_Px1(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rf_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rf(A,C) ) % 0.55/0.98 => rf(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rf_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rf(C,A) ) % 0.55/0.98 => rf(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rf1_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rf1(A,C) ) % 0.55/0.98 => rf1(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rf1_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rf1(C,A) ) % 0.55/0.98 => rf1(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvF_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvF(A,C) ) % 0.55/0.98 => rinvF(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvF_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvF(C,A) ) % 0.55/0.98 => rinvF(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvF1_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvF1(A,C) ) % 0.55/0.98 => rinvF1(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvF1_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvF1(C,A) ) % 0.55/0.98 => rinvF1(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvS_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvS(A,C) ) % 0.55/0.98 => rinvS(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rinvS_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rinvS(C,A) ) % 0.55/0.98 => rinvS(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(rs_substitution_1,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rs(A,C) ) % 0.55/0.98 => rs(B,C) ) ). % 0.55/0.98 % 0.55/0.98 fof(rs_substitution_2,axiom, % 0.55/0.98 ! [A,B,C] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & rs(C,A) ) % 0.55/0.98 => rs(C,B) ) ). % 0.55/0.98 % 0.55/0.98 fof(xsd_integer_substitution_1,axiom, % 0.55/0.98 ! [A,B] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & xsd_integer(A) ) % 0.55/0.98 => xsd_integer(B) ) ). % 0.55/0.98 % 0.55/0.98 fof(xsd_string_substitution_1,axiom, % 0.55/0.98 ! [A,B] : % 0.55/0.98 ( ( A = B % 0.55/0.98 & xsd_string(A) ) % 0.55/0.98 => xsd_string(B) ) ). % 0.55/0.98 % 0.55/0.98 %----Thing and Nothing % 0.55/0.98 fof(axiom_0,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( cowlThing(X) % 0.55/0.98 & ~ cowlNothing(X) ) ). % 0.55/0.98 % 0.55/0.98 %----String and Integer disjoint % 0.55/0.98 fof(axiom_1,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( xsd_string(X) % 0.55/0.98 <=> ~ xsd_integer(X) ) ). % 0.55/0.98 % 0.55/0.98 %----Equality cUnsatisfiable % 0.55/0.98 fof(axiom_2,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( cUnsatisfiable(X) % 0.55/0.98 <=> ( ? [Y] : % 0.55/0.98 ( rf1(X,Y) % 0.55/0.98 & ca_Ax2(Y) ) % 0.55/0.98 & ? [Y] : % 0.55/0.98 ( rf(X,Y) % 0.55/0.98 & cp(Y) ) ) ) ). % 0.55/0.98 % 0.55/0.98 %----Equality cp % 0.55/0.98 fof(axiom_3,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( cp(X) % 0.55/0.98 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 0.55/0.98 % 0.55/0.98 %----Equality cpxcomp % 0.55/0.98 fof(axiom_4,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( cpxcomp(X) % 0.55/0.98 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 0.55/0.98 % 0.55/0.98 %----Equality ca_Ax2 % 0.55/0.98 fof(axiom_5,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( ca_Ax2(X) % 0.55/0.98 <=> ( cpxcomp(X) % 0.55/0.98 & ! [Y] : % 0.55/0.98 ( rinvF1(X,Y) % 0.55/0.98 => ca_Vx3(Y) ) ) ) ). % 0.55/0.98 % 0.55/0.98 %----Equality ca_Vx3 % 0.55/0.98 fof(axiom_6,axiom, % 0.55/0.98 ! [X] : % 0.55/0.98 ( ca_Vx3(X) % 0.55/0.98 <=> ? [Y] : % 0.55/0.98 ( rs(X,Y) % 0.55/0.98 & cowlThing(Y) ) ) ). % 0.55/0.98 % 0.55/0.98 %----Functional: rf % 0.55/0.98 fof(axiom_7,axiom, % 0.55/0.98 ! [X,Y,Z] : % 0.55/0.98 ( ( rf(X,Y) % 0.55/0.98 & rf(X,Z) ) % 0.55/0.98 => Y = Z ) ). % 0.55/0.98 % 0.55/0.98 %----Functional: rf1 % 0.55/0.98 fof(axiom_8,axiom, % 0.55/0.98 ! [X,Y,Z] : % 0.55/0.98 ( ( rf1(X,Y) % 0.55/0.98 & rf1(X,Z) ) % 0.55/0.98 => Y = Z ) ). % 0.55/0.98 % 0.55/0.98 %----Inverse: rinvF % 0.55/0.98 fof(axiom_9,axiom, % 0.55/0.98 ! [X,Y] : % 0.55/0.98 ( rinvF(X,Y) % 0.55/0.98 <=> rf(Y,X) ) ). % 0.55/0.98 % 0.55/0.98 %----Inverse: rinvF1 % 0.55/0.98 fof(axiom_10,axiom, % 0.55/0.98 ! [X,Y] : % 0.55/0.98 ( rinvF1(X,Y) % 0.55/0.98 <=> rf1(Y,X) ) ). % 0.55/0.98 % 0.55/0.98 %----Inverse: rinvS % 0.55/0.98 fof(axiom_11,axiom, % 0.55/0.98 ! [X,Y] : % 0.55/0.98 ( rinvS(X,Y) % 0.55/0.98 <=> rs(Y,X) ) ). % 0.55/0.98 % 0.55/0.98 %----Functional: rs % 0.55/0.98 fof(axiom_12,axiom, % 0.55/0.98 ! [X,Y,Z] : % 0.55/0.98 ( ( rs(X,Y) % 0.55/0.98 & rs(X,Z) ) % 0.55/0.98 => Y = Z ) ). % 0.55/0.98 % 0.55/0.98 %----i2003_11_14_17_21_19256 % 0.55/0.98 fof(axiom_13,axiom, % 0.55/0.98 cUnsatisfiable(i2003_11_14_17_21_19256) ). % 0.55/0.98 % 0.55/0.98 fof(axiom_14,axiom, % 0.55/0.98 ! [X,Y] : % 0.55/0.98 ( rs(X,Y) % 0.55/0.98 => rf(X,Y) ) ). % 0.55/0.98 % 0.55/0.98 fof(axiom_15,axiom, % 0.55/0.98 ! [X,Y] : % 0.55/0.98 ( rs(X,Y) % 0.55/0.98 => rf1(X,Y) ) ). % 0.55/0.98 % 0.55/0.98 %------------------------------------------------------------------------------ % 0.55/0.98 %------------------------------------------- % 0.55/0.98 % Proof found % 0.55/0.98 % SZS status Theorem for theBenchmark % 0.55/0.98 % SZS output start Proof % 0.55/0.98 %ClaNum:61(EqnAxiom:31) % 0.55/0.98 %VarNum:103(SingletonVarNum:49) % 0.55/0.98 %MaxLitNum:5 % 0.55/0.98 %MaxfuncDepth:1 % 0.55/0.98 %SharedTerms:2 % 0.55/0.98 [32]P1(a1) % 0.55/0.98 [33]~P2(x331) % 0.55/0.98 [34]P15(x341)+P5(x341) % 0.55/0.98 [35]~P3(x351)+P6(x351) % 0.55/0.98 [36]~P15(x361)+~P5(x361) % 0.55/0.98 [37]~P1(x371)+P3(f2(x371)) % 0.55/0.98 [38]~P1(x381)+P7(f3(x381)) % 0.55/0.98 [39]P7(x391)+P8(x391,f4(x391)) % 0.55/0.98 [42]~P6(x421)+P8(x421,f5(x421)) % 0.55/0.98 [43]~P1(x431)+P10(x431,f3(x431)) % 0.55/0.98 [44]~P1(x441)+P11(x441,f2(x441)) % 0.55/0.98 [45]~P4(x451)+P9(x451,f6(x451)) % 0.55/0.98 [40]P4(x401)+~P9(x401,x402) % 0.55/0.98 [41]P6(x411)+~P8(x411,x412) % 0.55/0.98 [47]~P7(x471)+~P8(x471,x472) % 0.55/0.98 [50]~P13(x502,x501)+P10(x501,x502) % 0.55/0.98 [51]~P9(x511,x512)+P10(x511,x512) % 0.55/0.98 [52]~P12(x522,x521)+P11(x521,x522) % 0.55/0.98 [53]~P9(x531,x532)+P11(x531,x532) % 0.55/0.98 [54]~P10(x542,x541)+P13(x541,x542) % 0.55/0.98 [55]~P11(x552,x551)+P12(x551,x552) % 0.55/0.98 [56]~P9(x562,x561)+P14(x561,x562) % 0.55/0.98 [57]~P14(x572,x571)+P9(x571,x572) % 0.55/0.98 [46]~P6(x461)+P3(x461)+~P4(f7(x461)) % 0.55/0.98 [48]~P6(x481)+P3(x481)+P12(x481,f7(x481)) % 0.55/0.98 [49]~P12(x492,x491)+P4(x491)+~P3(x492) % 0.55/0.98 [58]~P10(x583,x581)+E(x581,x582)+~P10(x583,x582) % 0.55/0.98 [59]~P11(x593,x591)+E(x591,x592)+~P11(x593,x592) % 0.55/0.98 [60]~P9(x603,x601)+E(x601,x602)+~P9(x603,x602) % 0.55/0.98 [61]~P10(x611,x613)+~P11(x611,x612)+P1(x611)+~P3(x612)+~P7(x613) % 0.55/0.98 %EqnAxiom % 0.55/0.98 [1]E(x11,x11) % 0.55/0.98 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.98 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.55/0.98 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.55/0.98 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.55/0.98 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.55/0.98 [8]~E(x81,x82)+E(f7(x81),f7(x82)) % 0.55/0.98 [9]~E(x91,x92)+E(f6(x91),f6(x92)) % 0.55/0.98 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 0.55/0.98 [11]~P2(x111)+P2(x112)+~E(x111,x112) % 0.55/0.98 [12]~P5(x121)+P5(x122)+~E(x121,x122) % 0.55/0.98 [13]~P15(x131)+P15(x132)+~E(x131,x132) % 0.55/0.98 [14]~P6(x141)+P6(x142)+~E(x141,x142) % 0.55/0.98 [15]~P3(x151)+P3(x152)+~E(x151,x152) % 0.55/0.98 [16]P9(x162,x163)+~E(x161,x162)+~P9(x161,x163) % 0.55/0.98 [17]P9(x173,x172)+~E(x171,x172)+~P9(x173,x171) % 0.55/0.98 [18]P12(x182,x183)+~E(x181,x182)+~P12(x181,x183) % 0.55/0.98 [19]P12(x193,x192)+~E(x191,x192)+~P12(x193,x191) % 0.55/0.98 [20]P14(x202,x203)+~E(x201,x202)+~P14(x201,x203) % 0.55/0.98 [21]P14(x213,x212)+~E(x211,x212)+~P14(x213,x211) % 0.55/0.98 [22]P11(x222,x223)+~E(x221,x222)+~P11(x221,x223) % 0.55/0.98 [23]P11(x233,x232)+~E(x231,x232)+~P11(x233,x231) % 0.55/0.98 [24]~P7(x241)+P7(x242)+~E(x241,x242) % 0.55/0.98 [25]P10(x252,x253)+~E(x251,x252)+~P10(x251,x253) % 0.55/0.98 [26]P10(x263,x262)+~E(x261,x262)+~P10(x263,x261) % 0.55/0.98 [27]P8(x272,x273)+~E(x271,x272)+~P8(x271,x273) % 0.55/0.98 [28]P8(x283,x282)+~E(x281,x282)+~P8(x283,x281) % 0.55/0.98 [29]~P4(x291)+P4(x292)+~E(x291,x292) % 0.55/0.98 [30]P13(x302,x303)+~E(x301,x302)+~P13(x301,x303) % 0.55/0.98 [31]P13(x313,x312)+~E(x311,x312)+~P13(x313,x311) % 0.55/0.98 % 0.55/0.98 %------------------------------------------- % 0.55/0.98 cnf(63,plain, % 0.55/0.98 (~P3(x631)+P8(x631,f5(x631))), % 0.55/0.98 inference(scs_inference,[],[35,42])). % 0.55/0.98 cnf(64,plain, % 0.55/0.98 (~E(a1,x641)+P3(f2(x641))), % 0.55/0.98 inference(scs_inference,[],[32,37,10])). % 0.55/0.98 cnf(65,plain, % 0.55/0.98 (P3(f2(a1))), % 0.55/0.98 inference(equality_inference,[],[64])). % 0.55/0.98 cnf(66,plain, % 0.55/0.98 (~E(a1,x661)+P7(f3(x661))), % 0.55/0.98 inference(scs_inference,[],[32,38,10])). % 0.55/0.98 cnf(67,plain, % 0.55/0.98 (P7(f3(a1))), % 0.55/0.98 inference(equality_inference,[],[66])). % 0.55/0.98 cnf(72,plain, % 0.55/0.98 (~P6(f3(a1))), % 0.55/0.98 inference(scs_inference,[],[67,47,63,42])). % 0.55/0.98 cnf(74,plain, % 0.55/0.98 (~P9(x741,x742)+P9(x741,f6(x741))), % 0.55/0.98 inference(scs_inference,[],[40,45])). % 0.55/0.98 cnf(75,plain, % 0.55/0.98 (~E(x751,f3(a1))+~P8(x751,x752)), % 0.55/0.98 inference(scs_inference,[],[72,41,14])). % 0.55/0.98 cnf(81,plain, % 0.55/0.98 (~E(a1,x811)+P10(x811,f3(x811))), % 0.55/0.98 inference(scs_inference,[],[32,43,10])). % 0.55/0.98 cnf(82,plain, % 0.55/0.98 (P10(a1,f3(a1))), % 0.55/0.99 inference(equality_inference,[],[81])). % 0.55/0.99 cnf(87,plain, % 0.55/0.99 (~E(a1,x871)+P11(x871,f2(x871))), % 0.55/0.99 inference(scs_inference,[],[32,44,10])). % 0.55/0.99 cnf(88,plain, % 0.55/0.99 (P11(a1,f2(a1))), % 0.55/0.99 inference(equality_inference,[],[87])). % 0.55/0.99 cnf(96,plain, % 0.55/0.99 (P12(x961,x962)+~P9(x962,x961)), % 0.55/0.99 inference(scs_inference,[],[53,55])). % 0.55/0.99 cnf(102,plain, % 0.55/0.99 (P10(x1021,f6(x1021))+~P9(x1021,x1022)), % 0.55/0.99 inference(scs_inference,[],[74,51])). % 0.55/0.99 cnf(106,plain, % 0.55/0.99 (~P9(a1,x1061)+E(f6(a1),f3(a1))), % 0.55/0.99 inference(scs_inference,[],[82,102,58])). % 0.55/0.99 cnf(116,plain, % 0.55/0.99 (~P4(a1)+E(f6(a1),f3(a1))), % 0.55/0.99 inference(scs_inference,[],[106,45])). % 0.55/0.99 cnf(117,plain, % 0.55/0.99 (~P8(f6(a1),x1171)+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[116,75])). % 0.55/0.99 cnf(118,plain, % 0.55/0.99 (P7(f6(a1))+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[117,39])). % 0.55/0.99 cnf(119,plain, % 0.55/0.99 (~E(f6(a1),x1191)+P7(x1191)+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[118,24])). % 0.55/0.99 cnf(167,plain, % 0.55/0.99 (P8(f2(a1),f5(f2(a1)))), % 0.55/0.99 inference(scs_inference,[],[65,35,42])). % 0.55/0.99 cnf(194,plain, % 0.55/0.99 (~E(f6(a1),f2(a1))+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[167,47,119])). % 0.55/0.99 cnf(195,plain, % 0.55/0.99 (~E(f2(a1),f6(a1))+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[194,2])). % 0.55/0.99 cnf(196,plain, % 0.55/0.99 (~P11(a1,f6(a1))+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[88,195,59])). % 0.55/0.99 cnf(197,plain, % 0.55/0.99 (~P12(f6(a1),a1)+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[196,52])). % 0.55/0.99 cnf(198,plain, % 0.55/0.99 (~P9(a1,f6(a1))+~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[197,96])). % 0.55/0.99 cnf(199,plain, % 0.55/0.99 (~P4(a1)), % 0.55/0.99 inference(scs_inference,[],[198,45])). % 0.55/0.99 cnf(206,plain, % 0.55/0.99 ($false), % 0.55/0.99 inference(scs_inference,[],[88,199,65,40,57,49,55]), % 0.55/0.99 ['proof']). % 0.55/0.99 % SZS output end Proof % 0.55/0.99 % Total time :0.350000s %------------------------------------------------------------------------------