%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU117+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n021.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 15:01:06 EDT 2024 % Result : Theorem 0.53s 0.66s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU117+1 : TPTP v8.2.0. Released v3.2.0. % 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.34 % Computer : n021.cluster.edu % 0.11/0.34 % Model : x86_64 x86_64 % 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.34 % Memory : 8042.1875MB % 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.34 % CPULimit : 300 % 0.11/0.34 % WCLimit : 300 % 0.11/0.34 % DateTime : Fri Jun 21 12:29:24 EDT 2024 % 0.11/0.34 % CPUTime : % 0.46/0.59 start to proof:theBenchmark % 0.53/0.65 %------------------------------------------- % 0.53/0.65 % File :CSE---1.7 % 0.53/0.65 % Problem :theBenchmark % 0.53/0.65 % Transform :cnf % 0.53/0.65 % Format :tptp:raw % 0.53/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.65 % 0.53/0.65 % Result :Theorem 0.020000s % 0.53/0.65 % Output :CNFRefutation 0.020000s % 0.53/0.65 %------------------------------------------- % 0.53/0.65 %------------------------------------------------------------------------------ % 0.53/0.65 % File : SEU117+1 : TPTP v8.2.0. Released v3.2.0. % 0.53/0.65 % Domain : Set theory % 0.53/0.65 % Problem : Boolean domains, theorem 32 % 0.53/0.65 % Version : [Urb06] axioms : Especial. % 0.53/0.65 % English : % 0.53/0.65 % 0.53/0.65 % Refs : [TD90] Trybulec & Darmochwal (1990), Boolean Domains % 0.53/0.65 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.53/0.65 % Source : [Urb06] % 0.53/0.65 % Names : finsub_1__t32_finsub_1 [Urb06] % 0.53/0.65 % 0.53/0.65 % Status : Theorem % 0.53/0.65 % Rating : 0.14 v8.2.0, 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0, 0.14 v3.2.0 % 0.53/0.65 % Syntax : Number of formulae : 32 ( 7 unt; 0 def) % 0.53/0.65 % Number of atoms : 87 ( 3 equ) % 0.53/0.65 % Maximal formula atoms : 10 ( 2 avg) % 0.53/0.65 % Number of connectives : 72 ( 17 ~; 1 |; 35 &) % 0.53/0.65 % ( 3 <=>; 16 =>; 0 <=; 0 <~>) % 0.53/0.65 % Maximal formula depth : 12 ( 5 avg) % 0.53/0.65 % Maximal term depth : 2 ( 1 avg) % 0.53/0.65 % Number of predicates : 17 ( 16 usr; 0 prp; 1-2 aty) % 0.53/0.65 % Number of functors : 3 ( 3 usr; 1 con; 0-1 aty) % 0.53/0.65 % Number of variables : 53 ( 43 !; 10 ?) % 0.53/0.65 % SPC : FOF_THM_RFO_SEQ % 0.53/0.65 % 0.53/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.53/0.65 % library, www.mizar.org % 0.53/0.65 %------------------------------------------------------------------------------ % 0.53/0.65 fof(fc1_xboole_0,axiom, % 0.53/0.65 empty(empty_set) ). % 0.53/0.65 % 0.53/0.65 fof(cc2_finsub_1,axiom, % 0.53/0.65 ! [A] : % 0.53/0.65 ( ( cup_closed(A) % 0.53/0.65 & diff_closed(A) ) % 0.53/0.65 => preboolean(A) ) ). % 0.53/0.65 % 0.53/0.65 fof(cc1_finset_1,axiom, % 0.53/0.65 ! [A] : % 0.53/0.65 ( empty(A) % 0.53/0.65 => finite(A) ) ). % 0.53/0.65 % 0.53/0.65 fof(t2_subset,axiom, % 0.53/0.65 ! [A,B] : % 0.53/0.65 ( element(A,B) % 0.53/0.65 => ( empty(B) % 0.53/0.65 | in(A,B) ) ) ). % 0.53/0.65 % 0.53/0.65 fof(t5_subset,axiom, % 0.53/0.65 ! [A,B,C] : % 0.53/0.65 ~ ( in(A,B) % 0.53/0.65 & element(B,powerset(C)) % 0.53/0.65 & empty(C) ) ). % 0.53/0.65 % 0.53/0.65 fof(t6_boole,axiom, % 0.53/0.65 ! [A] : % 0.53/0.65 ( empty(A) % 0.53/0.65 => A = empty_set ) ). % 0.53/0.65 % 0.53/0.65 fof(t8_boole,axiom, % 0.53/0.65 ! [A,B] : % 0.53/0.65 ~ ( empty(A) % 0.53/0.65 & A != B % 0.53/0.65 & empty(B) ) ). % 0.53/0.65 % 0.53/0.65 fof(reflexivity_r1_tarski,axiom, % 0.53/0.65 ! [A,B] : subset(A,A) ). % 0.53/0.65 % 0.53/0.65 fof(antisymmetry_r2_hidden,axiom, % 0.53/0.65 ! [A,B] : % 0.53/0.65 ( in(A,B) % 0.53/0.65 => ~ in(B,A) ) ). % 0.53/0.66 % 0.53/0.66 fof(existence_m1_subset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ? [B] : element(B,A) ). % 0.53/0.66 % 0.53/0.66 fof(dt_k5_finsub_1,axiom, % 0.53/0.66 ! [A] : preboolean(finite_subsets(A)) ). % 0.53/0.66 % 0.53/0.66 fof(fc1_finsub_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( ~ empty(powerset(A)) % 0.53/0.66 & cup_closed(powerset(A)) % 0.53/0.66 & diff_closed(powerset(A)) % 0.53/0.66 & preboolean(powerset(A)) ) ). % 0.53/0.66 % 0.53/0.66 fof(fc2_finsub_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( ~ empty(finite_subsets(A)) % 0.53/0.66 & cup_closed(finite_subsets(A)) % 0.53/0.66 & diff_closed(finite_subsets(A)) % 0.53/0.66 & preboolean(finite_subsets(A)) ) ). % 0.53/0.66 % 0.53/0.66 fof(cc1_finsub_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( preboolean(A) % 0.53/0.66 => ( cup_closed(A) % 0.53/0.66 & diff_closed(A) ) ) ). % 0.53/0.66 % 0.53/0.66 fof(cc3_finsub_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( element(B,finite_subsets(A)) % 0.53/0.66 => finite(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc1_finsub_1,axiom, % 0.53/0.66 ? [A] : % 0.53/0.66 ( ~ empty(A) % 0.53/0.66 & cup_closed(A) % 0.53/0.66 & cap_closed(A) % 0.53/0.66 & diff_closed(A) % 0.53/0.66 & preboolean(A) ) ). % 0.53/0.66 % 0.53/0.66 fof(cc2_finset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( finite(A) % 0.53/0.66 => ! [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 => finite(B) ) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc1_finset_1,axiom, % 0.53/0.66 ? [A] : % 0.53/0.66 ( ~ empty(A) % 0.53/0.66 & finite(A) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc2_finset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ? [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 & empty(B) % 0.53/0.66 & relation(B) % 0.53/0.66 & function(B) % 0.53/0.66 & one_to_one(B) % 0.53/0.66 & epsilon_transitive(B) % 0.53/0.66 & epsilon_connected(B) % 0.53/0.66 & ordinal(B) % 0.53/0.66 & natural(B) % 0.53/0.66 & finite(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc3_finset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( ~ empty(A) % 0.53/0.66 => ? [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 & ~ empty(B) % 0.53/0.66 & finite(B) ) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc4_finset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( ~ empty(A) % 0.53/0.66 => ? [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 & ~ empty(B) % 0.53/0.66 & finite(B) ) ) ). % 0.53/0.66 % 0.53/0.66 fof(fc1_subset_1,axiom, % 0.53/0.66 ! [A] : ~ empty(powerset(A)) ). % 0.53/0.66 % 0.53/0.66 fof(rc1_subset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ( ~ empty(A) % 0.53/0.66 => ? [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 & ~ empty(B) ) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc2_subset_1,axiom, % 0.53/0.66 ! [A] : % 0.53/0.66 ? [B] : % 0.53/0.66 ( element(B,powerset(A)) % 0.53/0.66 & empty(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rc1_xboole_0,axiom, % 0.53/0.66 ? [A] : empty(A) ). % 0.53/0.66 % 0.53/0.66 fof(rc2_xboole_0,axiom, % 0.53/0.66 ? [A] : ~ empty(A) ). % 0.53/0.66 % 0.53/0.66 fof(t1_subset,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( in(A,B) % 0.53/0.66 => element(A,B) ) ). % 0.53/0.66 % 0.53/0.66 fof(t3_subset,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( element(A,powerset(B)) % 0.53/0.66 <=> subset(A,B) ) ). % 0.53/0.66 % 0.53/0.66 fof(t4_subset,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( in(A,B) % 0.53/0.66 & element(B,powerset(C)) ) % 0.53/0.66 => element(A,C) ) ). % 0.53/0.66 % 0.53/0.66 fof(t7_boole,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ~ ( in(A,B) % 0.53/0.66 & empty(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(t32_finsub_1,conjecture, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( element(B,finite_subsets(A)) % 0.53/0.66 => element(B,powerset(A)) ) ). % 0.53/0.66 % 0.53/0.66 fof(d5_finsub_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( preboolean(B) % 0.53/0.66 => ( B = finite_subsets(A) % 0.53/0.66 <=> ! [C] : % 0.53/0.66 ( in(C,B) % 0.53/0.66 <=> ( subset(C,A) % 0.53/0.66 & finite(C) ) ) ) ) ). % 0.53/0.66 % 0.53/0.66 %------------------------------------------------------------------------------ % 0.53/0.66 %------------------------------------------- % 0.53/0.66 % Proof found % 0.53/0.66 % SZS status Theorem for theBenchmark % 0.53/0.66 % SZS output start Proof % 0.53/0.66 %ClaNum:98(EqnAxiom:32) % 0.53/0.66 %VarNum:151(SingletonVarNum:74) % 0.53/0.66 %MaxLitNum:5 % 0.53/0.66 %MaxfuncDepth:1 % 0.53/0.66 %SharedTerms:21 % 0.53/0.66 %goalClause: 58 68 % 0.53/0.66 %singleGoalClaCount:2 % 0.53/0.66 [33]P1(a1) % 0.53/0.66 [34]P1(a2) % 0.53/0.66 [35]P2(a3) % 0.53/0.66 [36]P4(a3) % 0.53/0.66 [37]P6(a3) % 0.53/0.66 [38]P7(a9) % 0.53/0.66 [39]P3(a3) % 0.53/0.66 [62]~P1(a3) % 0.53/0.66 [63]~P1(a9) % 0.53/0.66 [64]~P1(a6) % 0.53/0.66 [58]P5(a4,f16(a5)) % 0.53/0.66 [68]~P5(a4,f15(a5)) % 0.53/0.66 [57]P16(x571,x571) % 0.53/0.66 [40]P1(f10(x401)) % 0.53/0.66 [41]P1(f11(x411)) % 0.53/0.66 [42]P2(f15(x421)) % 0.53/0.66 [43]P2(f16(x431)) % 0.53/0.66 [44]P4(f15(x441)) % 0.53/0.66 [45]P4(f16(x451)) % 0.53/0.66 [46]P6(f15(x461)) % 0.53/0.66 [48]P6(f16(x481)) % 0.53/0.66 [49]P7(f10(x491)) % 0.53/0.66 [50]P15(f10(x501)) % 0.53/0.66 [51]P10(f10(x511)) % 0.53/0.66 [52]P11(f10(x521)) % 0.53/0.66 [53]P8(f10(x531)) % 0.53/0.66 [54]P9(f10(x541)) % 0.53/0.66 [55]P14(f10(x551)) % 0.53/0.66 [56]P12(f10(x561)) % 0.53/0.66 [59]P5(f7(x591),x591) % 0.53/0.66 [60]P5(f10(x601),f15(x601)) % 0.53/0.66 [61]P5(f11(x611),f15(x611)) % 0.53/0.66 [66]~P1(f15(x661)) % 0.53/0.66 [67]~P1(f16(x671)) % 0.53/0.66 [69]~P1(x691)+E(x691,a1) % 0.53/0.66 [70]~P6(x701)+P2(x701) % 0.53/0.66 [71]~P6(x711)+P4(x711) % 0.53/0.66 [72]~P1(x721)+P7(x721) % 0.53/0.66 [73]P1(x731)+P7(f12(x731)) % 0.53/0.66 [74]P1(x741)+P7(f13(x741)) % 0.53/0.66 [77]P1(x771)+~P1(f12(x771)) % 0.53/0.66 [78]P1(x781)+~P1(f13(x781)) % 0.53/0.66 [79]P1(x791)+~P1(f14(x791)) % 0.53/0.66 [81]P1(x811)+P5(f12(x811),f15(x811)) % 0.53/0.66 [82]P1(x821)+P5(f13(x821),f15(x821)) % 0.53/0.66 [83]P1(x831)+P5(f14(x831),f15(x831)) % 0.53/0.66 [80]~P1(x801)+~P13(x802,x801) % 0.53/0.66 [85]~P13(x851,x852)+P5(x851,x852) % 0.53/0.66 [90]~P13(x902,x901)+~P13(x901,x902) % 0.53/0.66 [84]P7(x841)+~P5(x841,f16(x842)) % 0.53/0.66 [88]~P16(x881,x882)+P5(x881,f15(x882)) % 0.53/0.66 [91]P16(x911,x912)+~P5(x911,f15(x912)) % 0.53/0.66 [76]~P2(x761)+~P4(x761)+P6(x761) % 0.53/0.66 [75]~P1(x752)+~P1(x751)+E(x751,x752) % 0.53/0.66 [86]~P5(x862,x861)+P1(x861)+P13(x862,x861) % 0.53/0.66 [89]P7(x891)+~P7(x892)+~P5(x891,f15(x892)) % 0.53/0.66 [94]~P1(x941)+~P13(x942,x943)+~P5(x943,f15(x941)) % 0.53/0.66 [95]P5(x951,x952)+~P13(x951,x953)+~P5(x953,f15(x952)) % 0.53/0.66 [96]~P6(x961)+P13(f8(x962,x961),x961)+E(x961,f16(x962))+P7(f8(x962,x961)) % 0.53/0.66 [97]~P6(x971)+P13(f8(x972,x971),x971)+P16(f8(x972,x971),x972)+E(x971,f16(x972)) % 0.53/0.66 [87]~P6(x872)+~P13(x871,x872)+P7(x871)+~E(x872,f16(x873)) % 0.53/0.66 [92]~P6(x923)+~P13(x921,x923)+P16(x921,x922)+~E(x923,f16(x922)) % 0.53/0.66 [98]~P6(x981)+~P13(f8(x982,x981),x981)+~P16(f8(x982,x981),x982)+E(x981,f16(x982))+~P7(f8(x982,x981)) % 0.53/0.66 [93]~P6(x932)+~P7(x931)+~P16(x931,x933)+P13(x931,x932)+~E(x932,f16(x933)) % 0.53/0.66 %EqnAxiom % 0.53/0.66 [1]E(x11,x11) % 0.53/0.66 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.66 [4]~E(x41,x42)+E(f10(x41),f10(x42)) % 0.53/0.66 [5]~E(x51,x52)+E(f11(x51),f11(x52)) % 0.53/0.66 [6]~E(x61,x62)+E(f15(x61),f15(x62)) % 0.53/0.66 [7]~E(x71,x72)+E(f16(x71),f16(x72)) % 0.53/0.66 [8]~E(x81,x82)+E(f14(x81),f14(x82)) % 0.53/0.66 [9]~E(x91,x92)+E(f13(x91),f13(x92)) % 0.53/0.66 [10]~E(x101,x102)+E(f12(x101),f12(x102)) % 0.53/0.66 [11]~E(x111,x112)+E(f7(x111),f7(x112)) % 0.53/0.66 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123)) % 0.53/0.66 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132)) % 0.53/0.66 [14]~P1(x141)+P1(x142)+~E(x141,x142) % 0.53/0.66 [15]P16(x152,x153)+~E(x151,x152)+~P16(x151,x153) % 0.53/0.66 [16]P16(x163,x162)+~E(x161,x162)+~P16(x163,x161) % 0.53/0.66 [17]~P2(x171)+P2(x172)+~E(x171,x172) % 0.53/0.66 [18]~P4(x181)+P4(x182)+~E(x181,x182) % 0.53/0.66 [19]~P6(x191)+P6(x192)+~E(x191,x192) % 0.53/0.66 [20]~P7(x201)+P7(x202)+~E(x201,x202) % 0.53/0.66 [21]~P3(x211)+P3(x212)+~E(x211,x212) % 0.53/0.66 [22]P13(x222,x223)+~E(x221,x222)+~P13(x221,x223) % 0.53/0.66 [23]P13(x233,x232)+~E(x231,x232)+~P13(x233,x231) % 0.53/0.66 [24]P5(x242,x243)+~E(x241,x242)+~P5(x241,x243) % 0.53/0.66 [25]P5(x253,x252)+~E(x251,x252)+~P5(x253,x251) % 0.53/0.66 [26]~P12(x261)+P12(x262)+~E(x261,x262) % 0.53/0.66 [27]~P14(x271)+P14(x272)+~E(x271,x272) % 0.53/0.66 [28]~P9(x281)+P9(x282)+~E(x281,x282) % 0.53/0.66 [29]~P8(x291)+P8(x292)+~E(x291,x292) % 0.53/0.66 [30]~P11(x301)+P11(x302)+~E(x301,x302) % 0.53/0.66 [31]~P10(x311)+P10(x312)+~E(x311,x312) % 0.53/0.66 [32]~P15(x321)+P15(x322)+~E(x321,x322) % 0.53/0.66 % 0.53/0.66 %------------------------------------------- % 0.53/0.66 cnf(100,plain, % 0.53/0.66 (~P6(f16(x1001))+~P13(x1002,f16(x1001))+P16(x1002,x1001)), % 0.53/0.66 inference(equality_inference,[],[92])). % 0.53/0.66 cnf(101,plain, % 0.53/0.66 (P13(x1011,f16(x1012))+~P6(f16(x1012))+~P16(x1011,x1012)+~P7(x1011)), % 0.53/0.66 inference(equality_inference,[],[93])). % 0.53/0.66 cnf(102,plain, % 0.53/0.66 (P7(a4)), % 0.53/0.66 inference(scs_inference,[],[58,84])). % 0.53/0.66 cnf(110,plain, % 0.53/0.66 (P16(f7(f15(x1101)),x1101)), % 0.53/0.66 inference(scs_inference,[],[58,68,59,33,84,85,88,80,91])). % 0.53/0.66 cnf(111,plain, % 0.53/0.66 (P5(f7(x1111),x1111)), % 0.53/0.66 inference(rename_variables,[],[59])). % 0.53/0.66 cnf(113,plain, % 0.53/0.66 (P13(f7(a3),a3)), % 0.53/0.66 inference(scs_inference,[],[58,68,59,111,62,33,84,85,88,80,91,86])). % 0.53/0.66 cnf(114,plain, % 0.53/0.66 (P5(f7(x1141),x1141)), % 0.53/0.66 inference(rename_variables,[],[59])). % 0.53/0.66 cnf(116,plain, % 0.53/0.66 (P7(f7(f15(a9)))), % 0.53/0.66 inference(scs_inference,[],[58,68,59,111,114,38,62,33,84,85,88,80,91,86,89])). % 0.53/0.66 cnf(117,plain, % 0.53/0.66 (P5(f7(x1171),x1171)), % 0.53/0.66 inference(rename_variables,[],[59])). % 0.53/0.66 cnf(123,plain, % 0.53/0.66 (P5(f7(x1231),x1231)), % 0.53/0.66 inference(rename_variables,[],[59])). % 0.53/0.66 cnf(125,plain, % 0.53/0.66 (~P13(x1251,f7(f15(a1)))), % 0.53/0.66 inference(scs_inference,[],[58,68,59,111,114,117,123,60,38,62,33,84,85,88,80,91,86,89,95,24,25,94])). % 0.53/0.66 cnf(128,plain, % 0.53/0.66 (~P13(a4,f16(a5))), % 0.53/0.66 inference(scs_inference,[],[58,68,59,111,114,117,123,60,38,62,48,33,84,85,88,80,91,86,89,95,24,25,94,100])). % 0.53/0.66 cnf(129,plain, % 0.53/0.66 (P6(f16(x1291))), % 0.53/0.66 inference(rename_variables,[],[48])). % 0.53/0.66 cnf(132,plain, % 0.53/0.66 (P16(x1321,x1321)), % 0.53/0.66 inference(rename_variables,[],[57])). % 0.53/0.66 cnf(134,plain, % 0.53/0.66 (P16(x1341,x1341)), % 0.53/0.66 inference(rename_variables,[],[57])). % 0.53/0.66 cnf(136,plain, % 0.53/0.66 (P13(a9,f16(a9))), % 0.53/0.66 inference(scs_inference,[],[58,68,57,132,134,59,111,114,117,123,60,38,62,48,129,33,84,85,88,80,91,86,89,95,24,25,94,100,15,16,23,101])). % 0.53/0.66 cnf(156,plain, % 0.53/0.66 (P5(f11(x1561),f15(x1561))), % 0.53/0.66 inference(rename_variables,[],[61])). % 0.53/0.66 cnf(161,plain, % 0.53/0.66 (P5(f11(x1611),f15(x1611))), % 0.53/0.66 inference(rename_variables,[],[61])). % 0.53/0.66 cnf(164,plain, % 0.53/0.66 (P5(f11(x1641),f15(x1641))), % 0.53/0.66 inference(rename_variables,[],[61])). % 0.53/0.66 cnf(170,plain, % 0.53/0.66 (P13(f7(f15(a9)),f16(a9))), % 0.53/0.66 inference(scs_inference,[],[102,68,116,113,110,125,61,156,161,164,136,63,59,48,34,84,91,80,90,94,86,95,89,23,24,101])). % 0.53/0.66 cnf(171,plain, % 0.53/0.66 (P16(f7(f15(x1711)),x1711)), % 0.53/0.66 inference(rename_variables,[],[110])). % 0.53/0.66 cnf(175,plain, % 0.53/0.66 (~P1(a4)), % 0.53/0.66 inference(scs_inference,[],[102,68,116,113,110,171,125,61,156,161,164,136,63,59,48,34,41,84,91,80,90,94,86,95,89,23,24,101,16,75])). % 0.53/0.66 cnf(190,plain, % 0.53/0.66 (P13(f7(a6),a6)), % 0.53/0.66 inference(scs_inference,[],[170,64,60,59,61,40,91,90,80,94,86])). % 0.53/0.66 cnf(213,plain, % 0.53/0.66 (P13(f7(a4),a4)), % 0.53/0.66 inference(scs_inference,[],[190,175,59,41,90,80,86])). % 0.53/0.66 cnf(228,plain, % 0.53/0.66 ($false), % 0.53/0.66 inference(scs_inference,[],[58,213,128,67,90,86]), % 0.53/0.66 ['proof']). % 0.53/0.66 % SZS output end Proof % 0.53/0.66 % Total time :0.020000s %------------------------------------------------------------------------------