%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS109+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 0.71s 0.79s % Output : CNFRefutation 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : KRS109+1 : TPTP v8.2.0. Released v3.1.0. % 0.10/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.36 % Computer : n013.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 : Wed Jun 19 13:43:39 EDT 2024 % 0.14/0.36 % CPUTime : % 0.22/0.59 start to proof:theBenchmark % 0.71/0.78 %------------------------------------------- % 0.71/0.78 % File :CSE---1.7 % 0.71/0.78 % Problem :theBenchmark % 0.71/0.78 % Transform :cnf % 0.71/0.78 % Format :tptp:raw % 0.71/0.78 % Command :java -jar mcs_scs.jar %d %s % 0.71/0.78 % 0.71/0.78 % Result :Theorem 0.140000s % 0.71/0.78 % Output :CNFRefutation 0.140000s % 0.71/0.78 %------------------------------------------- % 0.71/0.78 %------------------------------------------------------------------------------ % 0.71/0.78 % File : KRS109+1 : TPTP v8.2.0. Released v3.1.0. % 0.71/0.78 % Domain : Knowledge Representation (Semantic Web) % 0.71/0.78 % Problem : DL Test: t10.2 % 0.71/0.78 % Version : Especial. % 0.71/0.78 % English : % 0.71/0.78 % 0.71/0.78 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.71/0.78 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.71/0.78 % Source : [Bec03] % 0.71/0.78 % Names : inconsistent_description-logic-Manifest610 [Bec03] % 0.71/0.78 % 0.71/0.78 % Status : Unsatisfiable % 0.71/0.78 % Rating : 0.00 v3.1.0 % 0.71/0.78 % Syntax : Number of formulae : 39 ( 1 unt; 0 def) % 0.71/0.78 % Number of atoms : 109 ( 26 equ) % 0.71/0.78 % Maximal formula atoms : 5 ( 2 avg) % 0.71/0.78 % Number of connectives : 73 ( 3 ~; 0 |; 31 &) % 0.71/0.78 % ( 9 <=>; 30 =>; 0 <=; 0 <~>) % 0.71/0.78 % Maximal formula depth : 6 ( 5 avg) % 0.71/0.78 % Maximal term depth : 1 ( 1 avg) % 0.71/0.78 % Number of predicates : 17 ( 16 usr; 0 prp; 1-2 aty) % 0.71/0.78 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.71/0.78 % Number of variables : 92 ( 88 !; 4 ?) % 0.71/0.78 % SPC : FOF_UNS_RFO_SEQ % 0.71/0.78 % 0.71/0.78 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.71/0.78 % datatypes, so this problem may not be perfect. At least it's % 0.71/0.78 % still representative of the type of reasoning required for OWL. % 0.71/0.78 %------------------------------------------------------------------------------ % 0.71/0.78 fof(cUnsatisfiable_substitution_1,axiom, % 0.71/0.78 ! [A,B] : % 0.71/0.78 ( ( A = B % 0.71/0.78 & cUnsatisfiable(A) ) % 0.71/0.79 => cUnsatisfiable(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(ca_Ax2_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & ca_Ax2(A) ) % 0.71/0.79 => ca_Ax2(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(ca_Vx3_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & ca_Vx3(A) ) % 0.71/0.79 => ca_Vx3(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(cowlNothing_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & cowlNothing(A) ) % 0.71/0.79 => cowlNothing(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(cowlThing_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & cowlThing(A) ) % 0.71/0.79 => cowlThing(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(cp_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & cp(A) ) % 0.71/0.79 => cp(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(cpxcomp_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & cpxcomp(A) ) % 0.71/0.79 => cpxcomp(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(ra_Px1_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & ra_Px1(A,C) ) % 0.71/0.79 => ra_Px1(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(ra_Px1_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & ra_Px1(C,A) ) % 0.71/0.79 => ra_Px1(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rf_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rf(A,C) ) % 0.71/0.79 => rf(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rf_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rf(C,A) ) % 0.71/0.79 => rf(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rf1_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rf1(A,C) ) % 0.71/0.79 => rf1(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rf1_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rf1(C,A) ) % 0.71/0.79 => rf1(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvF_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvF(A,C) ) % 0.71/0.79 => rinvF(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvF_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvF(C,A) ) % 0.71/0.79 => rinvF(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvF1_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvF1(A,C) ) % 0.71/0.79 => rinvF1(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvF1_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvF1(C,A) ) % 0.71/0.79 => rinvF1(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvS_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvS(A,C) ) % 0.71/0.79 => rinvS(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rinvS_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rinvS(C,A) ) % 0.71/0.79 => rinvS(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(rs_substitution_1,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rs(A,C) ) % 0.71/0.79 => rs(B,C) ) ). % 0.71/0.79 % 0.71/0.79 fof(rs_substitution_2,axiom, % 0.71/0.79 ! [A,B,C] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & rs(C,A) ) % 0.71/0.79 => rs(C,B) ) ). % 0.71/0.79 % 0.71/0.79 fof(xsd_integer_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & xsd_integer(A) ) % 0.71/0.79 => xsd_integer(B) ) ). % 0.71/0.79 % 0.71/0.79 fof(xsd_string_substitution_1,axiom, % 0.71/0.79 ! [A,B] : % 0.71/0.79 ( ( A = B % 0.71/0.79 & xsd_string(A) ) % 0.71/0.79 => xsd_string(B) ) ). % 0.71/0.79 % 0.71/0.79 %----Thing and Nothing % 0.71/0.79 fof(axiom_0,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( cowlThing(X) % 0.71/0.79 & ~ cowlNothing(X) ) ). % 0.71/0.79 % 0.71/0.79 %----String and Integer disjoint % 0.71/0.79 fof(axiom_1,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( xsd_string(X) % 0.71/0.79 <=> ~ xsd_integer(X) ) ). % 0.71/0.79 % 0.71/0.79 %----Equality cUnsatisfiable % 0.71/0.79 fof(axiom_2,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( cUnsatisfiable(X) % 0.71/0.79 <=> ( cpxcomp(X) % 0.71/0.79 & ? [Y] : % 0.71/0.79 ( rf(X,Y) % 0.71/0.79 & ca_Ax2(Y) ) ) ) ). % 0.71/0.79 % 0.71/0.79 %----Equality cp % 0.71/0.79 fof(axiom_3,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( cp(X) % 0.71/0.79 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 0.71/0.79 % 0.71/0.79 %----Equality cpxcomp % 0.71/0.79 fof(axiom_4,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( cpxcomp(X) % 0.71/0.79 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 0.71/0.79 % 0.71/0.79 %----Equality ca_Ax2 % 0.71/0.79 fof(axiom_5,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( ca_Ax2(X) % 0.71/0.79 <=> ( ! [Y] : % 0.71/0.79 ( rinvS(X,Y) % 0.71/0.79 => cp(Y) ) % 0.71/0.79 & ! [Y] : % 0.71/0.79 ( rinvF(X,Y) % 0.71/0.79 => ca_Vx3(Y) ) ) ) ). % 0.71/0.79 % 0.71/0.79 %----Equality ca_Vx3 % 0.71/0.79 fof(axiom_6,axiom, % 0.71/0.79 ! [X] : % 0.71/0.79 ( ca_Vx3(X) % 0.71/0.79 <=> ? [Y] : % 0.71/0.79 ( rs(X,Y) % 0.71/0.79 & cp(Y) ) ) ). % 0.71/0.79 % 0.71/0.79 %----Functional: rf % 0.71/0.79 fof(axiom_7,axiom, % 0.71/0.79 ! [X,Y,Z] : % 0.71/0.79 ( ( rf(X,Y) % 0.71/0.79 & rf(X,Z) ) % 0.71/0.79 => Y = Z ) ). % 0.71/0.79 % 0.71/0.79 %----Functional: rf1 % 0.71/0.79 fof(axiom_8,axiom, % 0.71/0.79 ! [X,Y,Z] : % 0.71/0.79 ( ( rf1(X,Y) % 0.71/0.79 & rf1(X,Z) ) % 0.71/0.79 => Y = Z ) ). % 0.71/0.79 % 0.71/0.79 %----Inverse: rinvF % 0.71/0.79 fof(axiom_9,axiom, % 0.71/0.79 ! [X,Y] : % 0.71/0.79 ( rinvF(X,Y) % 0.71/0.79 <=> rf(Y,X) ) ). % 0.71/0.79 % 0.71/0.79 %----Inverse: rinvF1 % 0.71/0.79 fof(axiom_10,axiom, % 0.71/0.79 ! [X,Y] : % 0.71/0.79 ( rinvF1(X,Y) % 0.71/0.79 <=> rf1(Y,X) ) ). % 0.71/0.79 % 0.71/0.79 %----Inverse: rinvS % 0.71/0.79 fof(axiom_11,axiom, % 0.71/0.79 ! [X,Y] : % 0.71/0.79 ( rinvS(X,Y) % 0.71/0.79 <=> rs(Y,X) ) ). % 0.71/0.79 % 0.71/0.79 %----Functional: rs % 0.71/0.79 fof(axiom_12,axiom, % 0.71/0.79 ! [X,Y,Z] : % 0.71/0.79 ( ( rs(X,Y) % 0.71/0.79 & rs(X,Z) ) % 0.71/0.79 => Y = Z ) ). % 0.71/0.79 % 0.71/0.79 %----i2003_11_14_17_21_08508 % 0.71/0.79 fof(axiom_13,axiom, % 0.71/0.79 cUnsatisfiable(i2003_11_14_17_21_08508) ). % 0.71/0.79 % 0.71/0.79 fof(axiom_14,axiom, % 0.71/0.79 ! [X,Y] : % 0.71/0.79 ( rs(X,Y) % 0.71/0.79 => rf(X,Y) ) ). % 0.71/0.79 % 0.71/0.79 fof(axiom_15,axiom, % 0.71/0.79 ! [X,Y] : % 0.71/0.79 ( rs(X,Y) % 0.71/0.79 => rf1(X,Y) ) ). % 0.71/0.79 % 0.71/0.79 %------------------------------------------------------------------------------ % 0.71/0.79 %------------------------------------------- % 0.71/0.79 % Proof found % 0.71/0.79 % SZS status Theorem for theBenchmark % 0.71/0.79 % SZS output start Proof % 0.71/0.80 %ClaNum:63(EqnAxiom:31) % 0.71/0.80 %VarNum:112(SingletonVarNum:51) % 0.71/0.80 %MaxLitNum:4 % 0.71/0.80 %MaxfuncDepth:1 % 0.71/0.80 %SharedTerms:2 % 0.71/0.80 [32]P1(a1) % 0.71/0.80 [33]~P2(x331) % 0.71/0.80 [34]P15(x341)+P5(x341) % 0.71/0.80 [35]~P1(x351)+P6(x351) % 0.71/0.80 [36]~P15(x361)+~P5(x361) % 0.71/0.80 [37]~P1(x371)+P3(f2(x371)) % 0.71/0.80 [38]~P4(x381)+P7(f3(x381)) % 0.71/0.80 [39]P7(x391)+P8(x391,f4(x391)) % 0.71/0.80 [41]~P6(x411)+P8(x411,f5(x411)) % 0.71/0.80 [42]~P1(x421)+P9(x421,f2(x421)) % 0.71/0.80 [43]~P4(x431)+P10(x431,f3(x431)) % 0.71/0.80 [40]P6(x401)+~P8(x401,x402) % 0.71/0.80 [44]~P7(x441)+~P8(x441,x442) % 0.71/0.80 [48]~P11(x482,x481)+P9(x481,x482) % 0.71/0.80 [49]~P10(x491,x492)+P9(x491,x492) % 0.71/0.80 [50]~P14(x502,x501)+P12(x501,x502) % 0.71/0.80 [51]~P10(x511,x512)+P12(x511,x512) % 0.71/0.80 [52]~P9(x522,x521)+P11(x521,x522) % 0.71/0.80 [53]~P12(x532,x531)+P14(x531,x532) % 0.71/0.80 [54]~P10(x542,x541)+P13(x541,x542) % 0.71/0.80 [55]~P13(x552,x551)+P10(x551,x552) % 0.71/0.80 [56]P3(x561)+~P4(f6(x561))+~P7(f7(x561)) % 0.71/0.80 [58]P3(x581)+P11(x581,f6(x581))+~P7(f7(x581)) % 0.71/0.80 [59]P3(x591)+P13(x591,f7(x591))+~P4(f6(x591)) % 0.71/0.80 [60]P3(x601)+P11(x601,f6(x601))+P13(x601,f7(x601)) % 0.71/0.80 [45]~P11(x452,x451)+P4(x451)+~P3(x452) % 0.71/0.80 [46]~P10(x461,x462)+P4(x461)+~P7(x462) % 0.71/0.80 [47]~P13(x472,x471)+P7(x471)+~P3(x472) % 0.71/0.80 [61]~P9(x613,x611)+E(x611,x612)+~P9(x613,x612) % 0.71/0.80 [62]~P12(x623,x621)+E(x621,x622)+~P12(x623,x622) % 0.71/0.80 [63]~P10(x633,x631)+E(x631,x632)+~P10(x633,x632) % 0.71/0.80 [57]~P6(x571)+~P9(x571,x572)+P1(x571)+~P3(x572) % 0.71/0.80 %EqnAxiom % 0.71/0.80 [1]E(x11,x11) % 0.71/0.80 [2]E(x22,x21)+~E(x21,x22) % 0.71/0.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.71/0.80 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.71/0.80 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.71/0.80 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.71/0.80 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.71/0.80 [8]~E(x81,x82)+E(f7(x81),f7(x82)) % 0.71/0.80 [9]~E(x91,x92)+E(f6(x91),f6(x92)) % 0.71/0.80 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 0.71/0.80 [11]~P2(x111)+P2(x112)+~E(x111,x112) % 0.71/0.80 [12]~P5(x121)+P5(x122)+~E(x121,x122) % 0.71/0.80 [13]~P15(x131)+P15(x132)+~E(x131,x132) % 0.71/0.80 [14]~P6(x141)+P6(x142)+~E(x141,x142) % 0.71/0.80 [15]P10(x152,x153)+~E(x151,x152)+~P10(x151,x153) % 0.71/0.80 [16]P10(x163,x162)+~E(x161,x162)+~P10(x163,x161) % 0.71/0.80 [17]P9(x172,x173)+~E(x171,x172)+~P9(x171,x173) % 0.71/0.80 [18]P9(x183,x182)+~E(x181,x182)+~P9(x183,x181) % 0.71/0.80 [19]~P3(x191)+P3(x192)+~E(x191,x192) % 0.71/0.80 [20]P13(x202,x203)+~E(x201,x202)+~P13(x201,x203) % 0.71/0.80 [21]P13(x213,x212)+~E(x211,x212)+~P13(x213,x211) % 0.71/0.80 [22]~P4(x221)+P4(x222)+~E(x221,x222) % 0.71/0.80 [23]~P7(x231)+P7(x232)+~E(x231,x232) % 0.71/0.80 [24]P12(x242,x243)+~E(x241,x242)+~P12(x241,x243) % 0.71/0.80 [25]P12(x253,x252)+~E(x251,x252)+~P12(x253,x251) % 0.71/0.80 [26]P14(x262,x263)+~E(x261,x262)+~P14(x261,x263) % 0.71/0.80 [27]P14(x273,x272)+~E(x271,x272)+~P14(x273,x271) % 0.71/0.80 [28]P8(x282,x283)+~E(x281,x282)+~P8(x281,x283) % 0.71/0.80 [29]P8(x293,x292)+~E(x291,x292)+~P8(x293,x291) % 0.71/0.80 [30]P11(x302,x303)+~E(x301,x302)+~P11(x301,x303) % 0.71/0.80 [31]P11(x313,x312)+~E(x311,x312)+~P11(x313,x311) % 0.71/0.80 % 0.71/0.80 %------------------------------------------- % 0.71/0.80 cnf(65,plain, % 0.71/0.80 (P8(a1,f5(a1))), % 0.71/0.80 inference(scs_inference,[],[32,35,41])). % 0.71/0.80 cnf(70,plain, % 0.71/0.80 (~E(a1,x701)+P3(f2(x701))), % 0.71/0.80 inference(scs_inference,[],[32,37,10])). % 0.71/0.80 cnf(71,plain, % 0.71/0.80 (P3(f2(a1))), % 0.71/0.80 inference(equality_inference,[],[70])). % 0.71/0.80 cnf(82,plain, % 0.71/0.80 (~E(a1,x821)+P9(x821,f2(x821))), % 0.71/0.80 inference(scs_inference,[],[32,42,10])). % 0.71/0.80 cnf(83,plain, % 0.71/0.80 (P9(a1,f2(a1))), % 0.71/0.80 inference(equality_inference,[],[82])). % 0.71/0.80 cnf(88,plain, % 0.71/0.80 (~P11(f2(a1),x881)+P10(x881,f3(x881))), % 0.71/0.80 inference(scs_inference,[],[71,43,45])). % 0.71/0.80 cnf(107,plain, % 0.71/0.80 (P9(x1071,f3(x1071))+~P11(f2(a1),x1071)), % 0.71/0.80 inference(scs_inference,[],[88,49])). % 0.71/0.80 cnf(114,plain, % 0.71/0.80 (E(f3(a1),f2(a1))+~P11(f2(a1),a1)), % 0.71/0.80 inference(scs_inference,[],[83,107,61])). % 0.71/0.80 cnf(124,plain, % 0.71/0.80 (~P13(f2(a1),a1)), % 0.71/0.80 inference(scs_inference,[],[71,65,47,44])). % 0.71/0.80 cnf(125,plain, % 0.71/0.80 (~P10(a1,f2(a1))), % 0.71/0.80 inference(scs_inference,[],[124,54])). % 0.71/0.80 cnf(139,plain, % 0.71/0.80 (~P4(a1)+~E(f3(a1),f2(a1))), % 0.71/0.80 inference(scs_inference,[],[125,16,43])). % 0.71/0.80 cnf(140,plain, % 0.71/0.80 (~P11(f2(a1),a1)+~P4(a1)), % 0.71/0.80 inference(scs_inference,[],[139,114])). % 0.71/0.80 cnf(141,plain, % 0.71/0.80 (~P4(a1)), % 0.71/0.80 inference(scs_inference,[],[83,140,52])). % 0.71/0.80 cnf(144,plain, % 0.71/0.80 ($false), % 0.71/0.80 inference(scs_inference,[],[71,83,141,45,52]), % 0.71/0.80 ['proof']). % 0.71/0.80 % SZS output end Proof % 0.71/0.80 % Total time :0.140000s %------------------------------------------------------------------------------