%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS107+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 : n017.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 10:08:31 EDT 2024 % Result : Unsatisfiable 1.22s 1.33s % Output : CNFRefutation 1.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS107+1 : TPTP v8.2.0. Released v3.1.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n017.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Wed Jun 19 12:57:24 EDT 2024 % 0.11/0.33 % CPUTime : % 0.49/0.54 start to proof:theBenchmark % 1.22/1.31 %------------------------------------------- % 1.22/1.31 % File :CSE---1.7 % 1.22/1.31 % Problem :theBenchmark % 1.22/1.31 % Transform :cnf % 1.22/1.31 % Format :tptp:raw % 1.22/1.31 % Command :java -jar mcs_scs.jar %d %s % 1.22/1.31 % 1.22/1.31 % Result :Theorem 0.730000s % 1.22/1.31 % Output :CNFRefutation 0.730000s % 1.22/1.31 %------------------------------------------- % 1.22/1.31 %------------------------------------------------------------------------------ % 1.22/1.31 % File : KRS107+1 : TPTP v8.2.0. Released v3.1.0. % 1.22/1.31 % Domain : Knowledge Representation (Semantic Web) % 1.22/1.31 % Problem : DL Test: fact4.1 % 1.22/1.31 % Version : Especial. % 1.22/1.31 % English : % 1.22/1.31 % 1.22/1.31 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 1.22/1.31 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 1.22/1.31 % Source : [Bec03] % 1.22/1.31 % Names : inconsistent_description-logic-Manifest604 [Bec03] % 1.22/1.31 % 1.22/1.31 % Status : Unsatisfiable % 1.22/1.31 % Rating : 0.29 v8.2.0, 0.00 v3.1.0 % 1.22/1.31 % Syntax : Number of formulae : 53 ( 1 unt; 0 def) % 1.22/1.31 % Number of atoms : 148 ( 37 equ) % 1.22/1.31 % Maximal formula atoms : 6 ( 2 avg) % 1.22/1.31 % Number of connectives : 98 ( 3 ~; 0 |; 44 &) % 1.22/1.31 % ( 6 <=>; 45 =>; 0 <=; 0 <~>) % 1.22/1.31 % Maximal formula depth : 7 ( 5 avg) % 1.22/1.31 % Maximal term depth : 1 ( 1 avg) % 1.22/1.31 % Number of predicates : 22 ( 21 usr; 0 prp; 1-2 aty) % 1.22/1.31 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 1.22/1.31 % Number of variables : 129 ( 124 !; 5 ?) % 1.22/1.31 % SPC : FOF_UNS_RFO_SEQ % 1.22/1.31 % 1.22/1.31 % Comments : Sean Bechhofer says there are some errors in the encoding of % 1.22/1.31 % datatypes, so this problem may not be perfect. At least it's % 1.22/1.31 % still representative of the type of reasoning required for OWL. % 1.22/1.31 %------------------------------------------------------------------------------ % 1.22/1.32 fof(cUnsatisfiable_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & cUnsatisfiable(A) ) % 1.22/1.32 => cUnsatisfiable(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(ca_Ax2_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & ca_Ax2(A) ) % 1.22/1.32 => ca_Ax2(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(ca_Cx1_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & ca_Cx1(A) ) % 1.22/1.32 => ca_Cx1(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(ca_Cx1xcomp_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & ca_Cx1xcomp(A) ) % 1.22/1.32 => ca_Cx1xcomp(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(cc1_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & cc1(A) ) % 1.22/1.32 => cc1(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(cc2_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & cc2(A) ) % 1.22/1.32 => cc2(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(cowlNothing_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & cowlNothing(A) ) % 1.22/1.32 => cowlNothing(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(cowlThing_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & cowlThing(A) ) % 1.22/1.32 => cowlThing(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(ra_Px1_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & ra_Px1(A,C) ) % 1.22/1.32 => ra_Px1(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(ra_Px1_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & ra_Px1(C,A) ) % 1.22/1.32 => ra_Px1(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx(A,C) ) % 1.22/1.32 => rrx(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx(C,A) ) % 1.22/1.32 => rrx(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx1_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx1(A,C) ) % 1.22/1.32 => rrx1(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx1_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx1(C,A) ) % 1.22/1.32 => rrx1(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx1a_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx1a(A,C) ) % 1.22/1.32 => rrx1a(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx1a_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx1a(C,A) ) % 1.22/1.32 => rrx1a(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx2_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx2(A,C) ) % 1.22/1.32 => rrx2(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx2_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx2(C,A) ) % 1.22/1.32 => rrx2(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx2a_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx2a(A,C) ) % 1.22/1.32 => rrx2a(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx2a_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx2a(C,A) ) % 1.22/1.32 => rrx2a(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx3_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx3(A,C) ) % 1.22/1.32 => rrx3(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx3_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx3(C,A) ) % 1.22/1.32 => rrx3(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx3a_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx3a(A,C) ) % 1.22/1.32 => rrx3a(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx3a_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx3a(C,A) ) % 1.22/1.32 => rrx3a(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx4_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx4(A,C) ) % 1.22/1.32 => rrx4(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx4_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx4(C,A) ) % 1.22/1.32 => rrx4(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx4a_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx4a(A,C) ) % 1.22/1.32 => rrx4a(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrx4a_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrx4a(C,A) ) % 1.22/1.32 => rrx4a(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrxa_substitution_1,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrxa(A,C) ) % 1.22/1.32 => rrxa(B,C) ) ). % 1.22/1.32 % 1.22/1.32 fof(rrxa_substitution_2,axiom, % 1.22/1.32 ! [A,B,C] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & rrxa(C,A) ) % 1.22/1.32 => rrxa(C,B) ) ). % 1.22/1.32 % 1.22/1.32 fof(xsd_integer_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & xsd_integer(A) ) % 1.22/1.32 => xsd_integer(B) ) ). % 1.22/1.32 % 1.22/1.32 fof(xsd_string_substitution_1,axiom, % 1.22/1.32 ! [A,B] : % 1.22/1.32 ( ( A = B % 1.22/1.32 & xsd_string(A) ) % 1.22/1.32 => xsd_string(B) ) ). % 1.22/1.32 % 1.22/1.32 %----Thing and Nothing % 1.22/1.32 fof(axiom_0,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( cowlThing(X) % 1.22/1.32 & ~ cowlNothing(X) ) ). % 1.22/1.32 % 1.22/1.32 %----String and Integer disjoint % 1.22/1.32 fof(axiom_1,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( xsd_string(X) % 1.22/1.32 <=> ~ xsd_integer(X) ) ). % 1.22/1.32 % 1.22/1.32 %----Equality cUnsatisfiable % 1.22/1.32 fof(axiom_2,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( cUnsatisfiable(X) % 1.22/1.32 <=> ( ? [Y] : % 1.22/1.32 ( rrx3(X,Y) % 1.22/1.32 & cc1(Y) ) % 1.22/1.32 & ? [Y] : % 1.22/1.32 ( rrx4(X,Y) % 1.22/1.32 & cc2(Y) ) % 1.22/1.32 & ca_Cx1(X) ) ) ). % 1.22/1.32 % 1.22/1.32 %----Equality ca_Ax2 % 1.22/1.32 fof(axiom_3,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( ca_Ax2(X) % 1.22/1.32 <=> ( cc2(X) % 1.22/1.32 & cc1(X) ) ) ). % 1.22/1.32 % 1.22/1.32 %----Equality ca_Cx1 % 1.22/1.32 fof(axiom_4,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( ca_Cx1(X) % 1.22/1.32 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 1.22/1.32 % 1.22/1.32 %----Equality ca_Cx1xcomp % 1.22/1.32 fof(axiom_5,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( ca_Cx1xcomp(X) % 1.22/1.32 <=> ? [Y] : % 1.22/1.32 ( rrx3(X,Y) % 1.22/1.32 & ca_Ax2(Y) ) ) ). % 1.22/1.32 % 1.22/1.32 %----Equality ca_Cx1xcomp % 1.22/1.32 fof(axiom_6,axiom, % 1.22/1.32 ! [X] : % 1.22/1.32 ( ca_Cx1xcomp(X) % 1.22/1.32 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 %----Functional: rrx % 1.22/1.33 fof(axiom_7,axiom, % 1.22/1.33 ! [X,Y,Z] : % 1.22/1.33 ( ( rrx(X,Y) % 1.22/1.33 & rrx(X,Z) ) % 1.22/1.33 => Y = Z ) ). % 1.22/1.33 % 1.22/1.33 %----Functional: rrx3 % 1.22/1.33 fof(axiom_8,axiom, % 1.22/1.33 ! [X,Y,Z] : % 1.22/1.33 ( ( rrx3(X,Y) % 1.22/1.33 & rrx3(X,Z) ) % 1.22/1.33 => Y = Z ) ). % 1.22/1.33 % 1.22/1.33 %----Functional: rrx3a % 1.22/1.33 fof(axiom_9,axiom, % 1.22/1.33 ! [X,Y,Z] : % 1.22/1.33 ( ( rrx3a(X,Y) % 1.22/1.33 & rrx3a(X,Z) ) % 1.22/1.33 => Y = Z ) ). % 1.22/1.33 % 1.22/1.33 %----Functional: rrx4 % 1.22/1.33 fof(axiom_10,axiom, % 1.22/1.33 ! [X,Y,Z] : % 1.22/1.33 ( ( rrx4(X,Y) % 1.22/1.33 & rrx4(X,Z) ) % 1.22/1.33 => Y = Z ) ). % 1.22/1.33 % 1.22/1.33 %----Functional: rrx4a % 1.22/1.33 fof(axiom_11,axiom, % 1.22/1.33 ! [X,Y,Z] : % 1.22/1.33 ( ( rrx4a(X,Y) % 1.22/1.33 & rrx4a(X,Z) ) % 1.22/1.33 => Y = Z ) ). % 1.22/1.33 % 1.22/1.33 %----i2003_11_14_17_21_01226 % 1.22/1.33 fof(axiom_12,axiom, % 1.22/1.33 cUnsatisfiable(i2003_11_14_17_21_01226) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_13,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx3(X,Y) % 1.22/1.33 => rrx1(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_14,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx3a(X,Y) % 1.22/1.33 => rrxa(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_15,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx4a(X,Y) % 1.22/1.33 => rrxa(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_16,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx4(X,Y) % 1.22/1.33 => rrx2(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_17,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx4(X,Y) % 1.22/1.33 => rrx(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_18,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx3a(X,Y) % 1.22/1.33 => rrx1a(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_19,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx4a(X,Y) % 1.22/1.33 => rrx2a(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 fof(axiom_20,axiom, % 1.22/1.33 ! [X,Y] : % 1.22/1.33 ( rrx3(X,Y) % 1.22/1.33 => rrx(X,Y) ) ). % 1.22/1.33 % 1.22/1.33 %------------------------------------------------------------------------------ % 1.22/1.33 %------------------------------------------- % 1.22/1.33 % Proof found % 1.22/1.33 % SZS status Theorem for theBenchmark % 1.22/1.33 % SZS output start Proof % 1.22/1.33 %ClaNum:72(EqnAxiom:39) % 1.22/1.33 %VarNum:115(SingletonVarNum:55) % 1.22/1.33 %MaxLitNum:6 % 1.22/1.33 %MaxfuncDepth:1 % 1.22/1.33 %SharedTerms:2 % 1.22/1.33 [40]P1(a1) % 1.22/1.33 [41]~P2(x411) % 1.22/1.33 [42]P20(x421)+P8(x421) % 1.22/1.33 [43]~P1(x431)+P3(x431) % 1.22/1.33 [44]~P4(x441)+P5(x441) % 1.22/1.33 [45]~P4(x451)+P7(x451) % 1.22/1.33 [46]~P20(x461)+~P8(x461) % 1.22/1.33 [47]~P6(x471)+P4(f2(x471)) % 1.22/1.33 [48]~P1(x481)+P5(f3(x481)) % 1.22/1.33 [49]~P1(x491)+P7(f4(x491)) % 1.22/1.33 [51]P6(x511)+P9(x511,f6(x511)) % 1.22/1.33 [53]~P3(x531)+P9(x531,f5(x531)) % 1.22/1.33 [54]~P1(x541)+P10(x541,f3(x541)) % 1.22/1.33 [55]~P6(x551)+P10(x551,f2(x551)) % 1.22/1.33 [56]~P1(x561)+P16(x561,f4(x561)) % 1.22/1.33 [52]P3(x521)+~P9(x521,x522) % 1.22/1.33 [57]~P6(x571)+~P9(x571,x572) % 1.22/1.33 [59]~P10(x591,x592)+P11(x591,x592) % 1.22/1.33 [60]~P16(x601,x602)+P11(x601,x602) % 1.22/1.33 [61]~P10(x611,x612)+P12(x611,x612) % 1.22/1.33 [62]~P17(x621,x622)+P13(x621,x622) % 1.22/1.33 [63]~P16(x631,x632)+P14(x631,x632) % 1.22/1.33 [64]~P18(x641,x642)+P15(x641,x642) % 1.22/1.33 [65]~P17(x651,x652)+P19(x651,x652) % 1.22/1.33 [66]~P18(x661,x662)+P19(x661,x662) % 1.22/1.33 [50]~P5(x501)+~P7(x501)+P4(x501) % 1.22/1.33 [58]~P10(x581,x582)+P6(x581)+~P4(x582) % 1.22/1.33 [67]~P11(x673,x671)+E(x671,x672)+~P11(x673,x672) % 1.22/1.33 [68]~P10(x683,x681)+E(x681,x682)+~P10(x683,x682) % 1.22/1.33 [69]~P17(x693,x691)+E(x691,x692)+~P17(x693,x692) % 1.22/1.33 [70]~P16(x703,x701)+E(x701,x702)+~P16(x703,x702) % 1.22/1.33 [71]~P18(x713,x711)+E(x711,x712)+~P18(x713,x712) % 1.22/1.33 [72]~P3(x721)+~P10(x721,x722)+~P16(x721,x723)+P1(x721)+~P5(x722)+~P7(x723) % 1.22/1.33 %EqnAxiom % 1.22/1.33 [1]E(x11,x11) % 1.22/1.33 [2]E(x22,x21)+~E(x21,x22) % 1.22/1.33 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.22/1.33 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.22/1.33 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 1.22/1.33 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 1.22/1.33 [7]~E(x71,x72)+E(f6(x71),f6(x72)) % 1.22/1.33 [8]~E(x81,x82)+E(f5(x81),f5(x82)) % 1.22/1.33 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 1.22/1.33 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 1.22/1.33 [11]~P8(x111)+P8(x112)+~E(x111,x112) % 1.22/1.33 [12]~P20(x121)+P20(x122)+~E(x121,x122) % 1.22/1.33 [13]~P3(x131)+P3(x132)+~E(x131,x132) % 1.22/1.33 [14]P16(x142,x143)+~E(x141,x142)+~P16(x141,x143) % 1.22/1.33 [15]P16(x153,x152)+~E(x151,x152)+~P16(x153,x151) % 1.22/1.33 [16]~P5(x161)+P5(x162)+~E(x161,x162) % 1.22/1.33 [17]~P4(x171)+P4(x172)+~E(x171,x172) % 1.22/1.33 [18]~P7(x181)+P7(x182)+~E(x181,x182) % 1.22/1.33 [19]P19(x192,x193)+~E(x191,x192)+~P19(x191,x193) % 1.22/1.33 [20]P19(x203,x202)+~E(x201,x202)+~P19(x203,x201) % 1.22/1.33 [21]P18(x212,x213)+~E(x211,x212)+~P18(x211,x213) % 1.22/1.33 [22]P18(x223,x222)+~E(x221,x222)+~P18(x223,x221) % 1.22/1.33 [23]P12(x232,x233)+~E(x231,x232)+~P12(x231,x233) % 1.22/1.33 [24]P12(x243,x242)+~E(x241,x242)+~P12(x243,x241) % 1.22/1.33 [25]P11(x252,x253)+~E(x251,x252)+~P11(x251,x253) % 1.22/1.33 [26]P11(x263,x262)+~E(x261,x262)+~P11(x263,x261) % 1.22/1.33 [27]~P6(x271)+P6(x272)+~E(x271,x272) % 1.22/1.33 [28]P10(x282,x283)+~E(x281,x282)+~P10(x281,x283) % 1.22/1.33 [29]P10(x293,x292)+~E(x291,x292)+~P10(x293,x291) % 1.22/1.33 [30]P17(x302,x303)+~E(x301,x302)+~P17(x301,x303) % 1.22/1.33 [31]P17(x313,x312)+~E(x311,x312)+~P17(x313,x311) % 1.22/1.33 [32]P14(x322,x323)+~E(x321,x322)+~P14(x321,x323) % 1.22/1.33 [33]P14(x333,x332)+~E(x331,x332)+~P14(x333,x331) % 1.22/1.33 [34]P9(x342,x343)+~E(x341,x342)+~P9(x341,x343) % 1.22/1.33 [35]P9(x353,x352)+~E(x351,x352)+~P9(x353,x351) % 1.22/1.33 [36]P15(x362,x363)+~E(x361,x362)+~P15(x361,x363) % 1.22/1.33 [37]P15(x373,x372)+~E(x371,x372)+~P15(x373,x371) % 1.22/1.33 [38]P13(x382,x383)+~E(x381,x382)+~P13(x381,x383) % 1.22/1.33 [39]P13(x393,x392)+~E(x391,x392)+~P13(x393,x391) % 1.22/1.33 % 1.22/1.33 %------------------------------------------- % 1.22/1.33 cnf(74,plain, % 1.22/1.33 (P9(a1,f5(a1))), % 1.22/1.33 inference(scs_inference,[],[40,43,53])). % 1.22/1.33 cnf(84,plain, % 1.22/1.33 (~E(a1,x841)+P5(f3(x841))), % 1.22/1.33 inference(scs_inference,[],[40,48,9])). % 1.22/1.33 cnf(85,plain, % 1.22/1.33 (P5(f3(a1))), % 1.22/1.33 inference(equality_inference,[],[84])). % 1.22/1.33 cnf(86,plain, % 1.22/1.33 (~E(a1,x861)+P7(f4(x861))), % 1.22/1.33 inference(scs_inference,[],[40,49,9])). % 1.22/1.33 cnf(87,plain, % 1.22/1.33 (P7(f4(a1))), % 1.22/1.33 inference(equality_inference,[],[86])). % 1.22/1.33 cnf(88,plain, % 1.22/1.33 (P4(f4(a1))+~P5(f4(a1))), % 1.22/1.33 inference(scs_inference,[],[87,50])). % 1.22/1.33 cnf(91,plain, % 1.22/1.33 (~E(a1,x911)+P3(x911)), % 1.22/1.33 inference(scs_inference,[],[74,52,13])). % 1.22/1.33 cnf(92,plain, % 1.22/1.33 (P3(a1)), % 1.22/1.33 inference(equality_inference,[],[91])). % 1.22/1.33 cnf(100,plain, % 1.22/1.33 (~E(a1,x1001)+P10(x1001,f3(x1001))), % 1.22/1.33 inference(scs_inference,[],[40,54,9])). % 1.22/1.33 cnf(101,plain, % 1.22/1.33 (P10(a1,f3(a1))), % 1.22/1.33 inference(equality_inference,[],[100])). % 1.22/1.33 cnf(107,plain, % 1.22/1.33 (~E(a1,x1071)+P16(x1071,f4(x1071))), % 1.22/1.33 inference(scs_inference,[],[40,56,9])). % 1.22/1.33 cnf(108,plain, % 1.22/1.33 (P16(a1,f4(a1))), % 1.22/1.33 inference(equality_inference,[],[107])). % 1.22/1.33 cnf(113,plain, % 1.22/1.33 (P11(x1131,f3(a1))+~E(a1,x1131)), % 1.22/1.33 inference(scs_inference,[],[101,59,25])). % 1.22/1.33 cnf(114,plain, % 1.22/1.33 (P11(a1,f3(a1))), % 1.22/1.33 inference(equality_inference,[],[113])). % 1.22/1.33 cnf(123,plain, % 1.22/1.33 (P11(a1,x1231)+~E(f4(a1),x1231)), % 1.22/1.33 inference(scs_inference,[],[108,60,26])). % 1.22/1.33 cnf(124,plain, % 1.22/1.33 (P11(a1,f4(a1))), % 1.22/1.33 inference(equality_inference,[],[123])). % 1.22/1.33 cnf(126,plain, % 1.22/1.33 (E(f3(a1),f4(a1))), % 1.22/1.33 inference(scs_inference,[],[114,124,25,67])). % 1.22/1.33 cnf(128,plain, % 1.22/1.33 (P5(f4(a1))), % 1.22/1.33 inference(scs_inference,[],[114,124,85,25,67,11,18,13,17,16])). % 1.22/1.33 cnf(132,plain, % 1.22/1.33 (P4(f4(a1))), % 1.22/1.33 inference(scs_inference,[],[128,88])). % 1.22/1.33 cnf(138,plain, % 1.22/1.33 (P10(a1,f4(a1))), % 1.22/1.33 inference(scs_inference,[],[87,101,126,85,108,2,18,50,15,29])). % 1.22/1.33 cnf(387,plain, % 1.22/1.33 (~P6(a1)), % 1.22/1.33 inference(scs_inference,[],[92,57,53])). % 1.22/1.33 cnf(397,plain, % 1.22/1.33 ($false), % 1.22/1.33 inference(scs_inference,[],[132,138,387,58]), % 1.22/1.33 ['proof']). % 1.22/1.33 % SZS output end Proof % 1.22/1.33 % Total time :0.730000s %------------------------------------------------------------------------------