%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS070+1 : TPTP v8.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n022.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 10:08:23 EDT 2024 % Result : Unsatisfiable 0.55s 0.77s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS070+1 : TPTP v8.2.0. Released v3.1.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n022.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 : Wed Jun 19 13:09:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.53/0.59 start to proof:theBenchmark % 0.55/0.75 %------------------------------------------- % 0.55/0.75 % File :CSE---1.7 % 0.55/0.75 % Problem :theBenchmark % 0.55/0.75 % Transform :cnf % 0.55/0.75 % Format :tptp:raw % 0.55/0.75 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.75 % 0.55/0.75 % Result :Theorem 0.110000s % 0.55/0.75 % Output :CNFRefutation 0.110000s % 0.55/0.75 %------------------------------------------- % 0.55/0.76 %------------------------------------------------------------------------------ % 0.55/0.76 % File : KRS070+1 : TPTP v8.2.0. Released v3.1.0. % 0.55/0.76 % Domain : Knowledge Representation (Semantic Web) % 0.55/0.76 % Problem : DL Test: fact4.1 % 0.55/0.76 % Version : Especial. % 0.55/0.76 % English : % 0.55/0.76 % 0.55/0.76 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.55/0.76 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.55/0.76 % Source : [Bec03] % 0.55/0.76 % Names : inconsistent_description-logic-Manifest004 [Bec03] % 0.55/0.76 % 0.55/0.76 % Status : Unsatisfiable % 0.55/0.76 % Rating : 0.00 v3.1.0 % 0.55/0.76 % Syntax : Number of formulae : 44 ( 1 unt; 0 def) % 0.55/0.76 % Number of atoms : 125 ( 32 equ) % 0.55/0.76 % Maximal formula atoms : 8 ( 2 avg) % 0.55/0.76 % Number of connectives : 84 ( 3 ~; 0 |; 39 &) % 0.55/0.76 % ( 2 <=>; 40 =>; 0 <=; 0 <~>) % 0.55/0.76 % Maximal formula depth : 9 ( 5 avg) % 0.55/0.76 % Maximal term depth : 1 ( 1 avg) % 0.55/0.76 % Number of predicates : 18 ( 17 usr; 0 prp; 1-2 aty) % 0.55/0.76 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.55/0.76 % Number of variables : 111 ( 108 !; 3 ?) % 0.55/0.76 % SPC : FOF_UNS_RFO_SEQ % 0.55/0.76 % 0.55/0.76 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.55/0.76 % datatypes, so this problem may not be perfect. At least it's % 0.55/0.76 % still representative of the type of reasoning required for OWL. % 0.55/0.76 %------------------------------------------------------------------------------ % 0.55/0.76 fof(cUnsatisfiable_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & cUnsatisfiable(A) ) % 0.55/0.76 => cUnsatisfiable(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(cc1_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & cc1(A) ) % 0.55/0.76 => cc1(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(cc2_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & cc2(A) ) % 0.55/0.76 => cc2(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(cowlNothing_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & cowlNothing(A) ) % 0.55/0.76 => cowlNothing(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(cowlThing_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & cowlThing(A) ) % 0.55/0.76 => cowlThing(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx(A,C) ) % 0.55/0.76 => rrx(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx(C,A) ) % 0.55/0.76 => rrx(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx1_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx1(A,C) ) % 0.55/0.76 => rrx1(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx1_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx1(C,A) ) % 0.55/0.76 => rrx1(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx1a_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx1a(A,C) ) % 0.55/0.76 => rrx1a(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx1a_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx1a(C,A) ) % 0.55/0.76 => rrx1a(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx2_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx2(A,C) ) % 0.55/0.76 => rrx2(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx2_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx2(C,A) ) % 0.55/0.76 => rrx2(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx2a_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx2a(A,C) ) % 0.55/0.76 => rrx2a(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx2a_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx2a(C,A) ) % 0.55/0.76 => rrx2a(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx3_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx3(A,C) ) % 0.55/0.76 => rrx3(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx3_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx3(C,A) ) % 0.55/0.76 => rrx3(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx3a_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx3a(A,C) ) % 0.55/0.76 => rrx3a(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx3a_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx3a(C,A) ) % 0.55/0.76 => rrx3a(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx4_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx4(A,C) ) % 0.55/0.76 => rrx4(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx4_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx4(C,A) ) % 0.55/0.76 => rrx4(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx4a_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx4a(A,C) ) % 0.55/0.76 => rrx4a(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrx4a_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrx4a(C,A) ) % 0.55/0.76 => rrx4a(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrxa_substitution_1,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrxa(A,C) ) % 0.55/0.76 => rrxa(B,C) ) ). % 0.55/0.76 % 0.55/0.76 fof(rrxa_substitution_2,axiom, % 0.55/0.76 ! [A,B,C] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & rrxa(C,A) ) % 0.55/0.76 => rrxa(C,B) ) ). % 0.55/0.76 % 0.55/0.76 fof(xsd_integer_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & xsd_integer(A) ) % 0.55/0.76 => xsd_integer(B) ) ). % 0.55/0.76 % 0.55/0.76 fof(xsd_string_substitution_1,axiom, % 0.55/0.76 ! [A,B] : % 0.55/0.76 ( ( A = B % 0.55/0.76 & xsd_string(A) ) % 0.55/0.76 => xsd_string(B) ) ). % 0.55/0.76 % 0.55/0.76 %----Thing and Nothing % 0.55/0.76 fof(axiom_0,axiom, % 0.55/0.76 ! [X] : % 0.55/0.76 ( cowlThing(X) % 0.55/0.76 & ~ cowlNothing(X) ) ). % 0.55/0.76 % 0.55/0.76 %----String and Integer disjoint % 0.55/0.76 fof(axiom_1,axiom, % 0.55/0.76 ! [X] : % 0.55/0.76 ( xsd_string(X) % 0.55/0.76 <=> ~ xsd_integer(X) ) ). % 0.55/0.76 % 0.55/0.76 %----Equality cUnsatisfiable % 0.55/0.76 fof(axiom_2,axiom, % 0.55/0.76 ! [X] : % 0.55/0.76 ( cUnsatisfiable(X) % 0.55/0.76 <=> ( ? [Y] : % 0.55/0.76 ( rrx4(X,Y) % 0.55/0.76 & cc2(Y) ) % 0.55/0.76 & ~ ? [Y] : % 0.55/0.76 ( rrx3(X,Y) % 0.55/0.76 & cc2(Y) % 0.55/0.76 & cc1(Y) ) % 0.55/0.76 & ? [Y] : % 0.55/0.76 ( rrx3(X,Y) % 0.55/0.76 & cc1(Y) ) ) ) ). % 0.55/0.76 % 0.55/0.76 %----Functional: rrx % 0.55/0.76 fof(axiom_3,axiom, % 0.55/0.76 ! [X,Y,Z] : % 0.55/0.76 ( ( rrx(X,Y) % 0.55/0.76 & rrx(X,Z) ) % 0.55/0.76 => Y = Z ) ). % 0.55/0.76 % 0.55/0.76 %----Functional: rrx3 % 0.55/0.76 fof(axiom_4,axiom, % 0.55/0.76 ! [X,Y,Z] : % 0.55/0.76 ( ( rrx3(X,Y) % 0.55/0.76 & rrx3(X,Z) ) % 0.55/0.76 => Y = Z ) ). % 0.55/0.76 % 0.55/0.76 %----Functional: rrx3a % 0.55/0.76 fof(axiom_5,axiom, % 0.55/0.76 ! [X,Y,Z] : % 0.55/0.76 ( ( rrx3a(X,Y) % 0.55/0.76 & rrx3a(X,Z) ) % 0.55/0.76 => Y = Z ) ). % 0.55/0.76 % 0.55/0.76 %----Functional: rrx4 % 0.55/0.76 fof(axiom_6,axiom, % 0.55/0.76 ! [X,Y,Z] : % 0.55/0.76 ( ( rrx4(X,Y) % 0.55/0.76 & rrx4(X,Z) ) % 0.55/0.76 => Y = Z ) ). % 0.55/0.76 % 0.55/0.76 %----Functional: rrx4a % 0.55/0.76 fof(axiom_7,axiom, % 0.55/0.76 ! [X,Y,Z] : % 0.55/0.76 ( ( rrx4a(X,Y) % 0.55/0.76 & rrx4a(X,Z) ) % 0.55/0.76 => Y = Z ) ). % 0.55/0.76 % 0.55/0.76 %----i2003_11_14_17_18_32242 % 0.55/0.76 fof(axiom_8,axiom, % 0.55/0.76 cUnsatisfiable(i2003_11_14_17_18_32242) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_9,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx3(X,Y) % 0.55/0.76 => rrx(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_10,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx3a(X,Y) % 0.55/0.76 => rrxa(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_11,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx4a(X,Y) % 0.55/0.76 => rrxa(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_12,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx4(X,Y) % 0.55/0.76 => rrx2(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_13,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx3a(X,Y) % 0.55/0.76 => rrx1a(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_14,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx4a(X,Y) % 0.55/0.76 => rrx2a(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_15,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx3(X,Y) % 0.55/0.76 => rrx1(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 fof(axiom_16,axiom, % 0.55/0.76 ! [X,Y] : % 0.55/0.76 ( rrx4(X,Y) % 0.55/0.76 => rrx(X,Y) ) ). % 0.55/0.76 % 0.55/0.76 %------------------------------------------------------------------------------ % 0.55/0.77 %------------------------------------------- % 0.55/0.77 % Proof found % 0.55/0.77 % SZS status Theorem for theBenchmark % 0.55/0.77 % SZS output start Proof % 0.55/0.77 %ClaNum:57(EqnAxiom:32) % 0.55/0.77 %VarNum:107(SingletonVarNum:49) % 0.55/0.77 %MaxLitNum:6 % 0.55/0.77 %MaxfuncDepth:1 % 0.55/0.77 %SharedTerms:2 % 0.55/0.77 [33]P1(a1) % 0.55/0.77 [34]~P2(x341) % 0.55/0.77 [35]P16(x351)+P5(x351) % 0.55/0.77 [36]~P16(x361)+~P5(x361) % 0.55/0.77 [37]~P1(x371)+P3(f2(x371)) % 0.55/0.77 [38]~P1(x381)+P4(f3(x381)) % 0.55/0.77 [39]~P1(x391)+P6(x391,f2(x391)) % 0.55/0.77 [40]~P1(x401)+P12(x401,f3(x401)) % 0.55/0.77 [41]~P6(x411,x412)+P7(x411,x412) % 0.55/0.77 [42]~P12(x421,x422)+P7(x421,x422) % 0.55/0.77 [43]~P6(x431,x432)+P8(x431,x432) % 0.55/0.77 [44]~P13(x441,x442)+P9(x441,x442) % 0.55/0.77 [45]~P12(x451,x452)+P10(x451,x452) % 0.55/0.77 [46]~P14(x461,x462)+P11(x461,x462) % 0.55/0.77 [47]~P13(x471,x472)+P15(x471,x472) % 0.55/0.77 [48]~P14(x481,x482)+P15(x481,x482) % 0.55/0.77 [50]~P7(x503,x501)+E(x501,x502)+~P7(x503,x502) % 0.55/0.77 [51]~P6(x513,x511)+E(x511,x512)+~P6(x513,x512) % 0.55/0.77 [52]~P13(x523,x521)+E(x521,x522)+~P13(x523,x522) % 0.55/0.77 [53]~P12(x533,x531)+E(x531,x532)+~P12(x533,x532) % 0.55/0.77 [54]~P14(x543,x541)+E(x541,x542)+~P14(x543,x542) % 0.55/0.77 [49]~P4(x492)+~P6(x491,x492)+~P1(x491)+~P3(x492) % 0.55/0.77 [55]~P6(x551,x552)+~P12(x551,x553)+P1(x551)+~P3(x552)+~P4(x553)+P3(f4(x551)) % 0.55/0.77 [56]~P6(x561,x562)+~P12(x561,x563)+P1(x561)+~P3(x562)+~P4(x563)+P4(f4(x561)) % 0.55/0.77 [57]~P6(x571,x572)+~P12(x571,x573)+P1(x571)+~P3(x572)+~P4(x573)+P6(x571,f4(x571)) % 0.55/0.77 %EqnAxiom % 0.55/0.77 [1]E(x11,x11) % 0.55/0.77 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.77 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.55/0.77 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.55/0.77 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.55/0.77 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.55/0.77 [8]~P2(x81)+P2(x82)+~E(x81,x82) % 0.55/0.77 [9]~P5(x91)+P5(x92)+~E(x91,x92) % 0.55/0.77 [10]~P16(x101)+P16(x102)+~E(x101,x102) % 0.55/0.77 [11]~P4(x111)+P4(x112)+~E(x111,x112) % 0.55/0.77 [12]~P3(x121)+P3(x122)+~E(x121,x122) % 0.55/0.77 [13]P12(x132,x133)+~E(x131,x132)+~P12(x131,x133) % 0.55/0.77 [14]P12(x143,x142)+~E(x141,x142)+~P12(x143,x141) % 0.55/0.77 [15]P13(x152,x153)+~E(x151,x152)+~P13(x151,x153) % 0.55/0.77 [16]P13(x163,x162)+~E(x161,x162)+~P13(x163,x161) % 0.55/0.77 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173) % 0.55/0.77 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181) % 0.55/0.77 [19]P14(x192,x193)+~E(x191,x192)+~P14(x191,x193) % 0.55/0.77 [20]P14(x203,x202)+~E(x201,x202)+~P14(x203,x201) % 0.55/0.77 [21]P10(x212,x213)+~E(x211,x212)+~P10(x211,x213) % 0.55/0.77 [22]P10(x223,x222)+~E(x221,x222)+~P10(x223,x221) % 0.55/0.77 [23]P7(x232,x233)+~E(x231,x232)+~P7(x231,x233) % 0.55/0.77 [24]P7(x243,x242)+~E(x241,x242)+~P7(x243,x241) % 0.55/0.77 [25]P15(x252,x253)+~E(x251,x252)+~P15(x251,x253) % 0.55/0.77 [26]P15(x263,x262)+~E(x261,x262)+~P15(x263,x261) % 0.55/0.77 [27]P11(x272,x273)+~E(x271,x272)+~P11(x271,x273) % 0.55/0.77 [28]P11(x283,x282)+~E(x281,x282)+~P11(x283,x281) % 0.55/0.77 [29]P8(x292,x293)+~E(x291,x292)+~P8(x291,x293) % 0.55/0.77 [30]P8(x303,x302)+~E(x301,x302)+~P8(x303,x301) % 0.55/0.77 [31]P9(x312,x313)+~E(x311,x312)+~P9(x311,x313) % 0.55/0.77 [32]P9(x323,x322)+~E(x321,x322)+~P9(x323,x321) % 0.55/0.77 % 0.55/0.77 %------------------------------------------- % 0.55/0.77 cnf(105,plain, % 0.55/0.77 (~E(a1,x1051)+P3(f2(x1051))), % 0.55/0.77 inference(scs_inference,[],[33,37,7])). % 0.55/0.77 cnf(106,plain, % 0.55/0.77 (P3(f2(a1))), % 0.55/0.77 inference(equality_inference,[],[105])). % 0.55/0.77 cnf(107,plain, % 0.55/0.77 (~P4(f2(a1))+~P6(a1,f2(a1))), % 0.55/0.77 inference(scs_inference,[],[33,106,49])). % 0.55/0.77 cnf(110,plain, % 0.55/0.77 (~E(a1,x1101)+P4(f3(x1101))), % 0.55/0.77 inference(scs_inference,[],[33,38,7])). % 0.55/0.77 cnf(111,plain, % 0.55/0.77 (P4(f3(a1))), % 0.55/0.77 inference(equality_inference,[],[110])). % 0.55/0.77 cnf(114,plain, % 0.55/0.77 (~E(a1,x1141)+P6(x1141,f2(x1141))), % 0.55/0.77 inference(scs_inference,[],[33,39,7])). % 0.55/0.77 cnf(115,plain, % 0.55/0.77 (P6(a1,f2(a1))), % 0.55/0.77 inference(equality_inference,[],[114])). % 0.55/0.77 cnf(116,plain, % 0.55/0.77 (~P4(f2(a1))), % 0.55/0.77 inference(scs_inference,[],[115,107])). % 0.55/0.77 cnf(123,plain, % 0.55/0.77 (~E(a1,x1231)+P12(x1231,f3(x1231))), % 0.55/0.77 inference(scs_inference,[],[33,40,7])). % 0.55/0.77 cnf(124,plain, % 0.55/0.77 (P12(a1,f3(a1))), % 0.55/0.77 inference(equality_inference,[],[123])). % 0.55/0.77 cnf(129,plain, % 0.55/0.77 (P7(x1291,f2(a1))+~E(a1,x1291)), % 0.55/0.77 inference(scs_inference,[],[115,41,23])). % 0.55/0.77 cnf(130,plain, % 0.55/0.77 (P7(a1,f2(a1))), % 0.55/0.77 inference(equality_inference,[],[129])). % 0.55/0.77 cnf(136,plain, % 0.55/0.77 (P7(a1,x1361)+~E(f3(a1),x1361)), % 0.55/0.77 inference(scs_inference,[],[124,42,24])). % 0.55/0.77 cnf(137,plain, % 0.55/0.77 (P7(a1,f3(a1))), % 0.55/0.77 inference(equality_inference,[],[136])). % 0.55/0.77 cnf(142,plain, % 0.55/0.77 (E(f3(a1),f2(a1))), % 0.55/0.77 inference(scs_inference,[],[115,130,137,23,50,18,2])). % 0.55/0.77 cnf(148,plain, % 0.55/0.77 ($false), % 0.55/0.77 inference(scs_inference,[],[142,111,116,11]), % 0.55/0.77 ['proof']). % 0.55/0.77 % SZS output end Proof % 0.55/0.77 % Total time :0.110000s %------------------------------------------------------------------------------