%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU223+3 : 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 : n024.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 15:01:52 EDT 2024 % Result : Theorem 14.08s 14.12s % Output : CNFRefutation 14.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU223+3 : TPTP v8.2.0. Released v3.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n024.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 : Fri Jun 21 14:23:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.42/0.61 start to proof:theBenchmark % 14.08/14.11 %------------------------------------------- % 14.08/14.11 % File :CSE---1.7 % 14.08/14.11 % Problem :theBenchmark % 14.08/14.11 % Transform :cnf % 14.08/14.11 % Format :tptp:raw % 14.08/14.11 % Command :java -jar mcs_scs.jar %d %s % 14.08/14.11 % 14.08/14.11 % Result :Theorem 13.450000s % 14.08/14.11 % Output :CNFRefutation 13.450000s % 14.08/14.11 %------------------------------------------- % 14.08/14.11 %------------------------------------------------------------------------------ % 14.08/14.11 % File : SEU223+3 : TPTP v8.2.0. Released v3.2.0. % 14.08/14.11 % Domain : Set theory % 14.08/14.11 % Problem : Functions and their basic properties, theorem 70 % 14.08/14.11 % Version : [Urb06] axioms : Especial. % 14.08/14.11 % English : % 14.08/14.11 % 14.08/14.11 % Refs : [Byl90] Bylinski (1990), Functions and Their Basic Properties % 14.08/14.11 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 14.08/14.11 % Source : [Urb06] % 14.08/14.11 % Names : funct_1__t70_funct_1 [Urb06] % 14.08/14.11 % 14.08/14.11 % Status : Theorem % 14.08/14.11 % Rating : 0.17 v8.2.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.26 v5.5.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.2.0 % 14.08/14.11 % Syntax : Number of formulae : 39 ( 9 unt; 0 def) % 14.08/14.11 % Number of atoms : 96 ( 9 equ) % 14.08/14.11 % Maximal formula atoms : 8 ( 2 avg) % 14.08/14.11 % Number of connectives : 69 ( 12 ~; 1 |; 34 &) % 14.08/14.12 % ( 2 <=>; 20 =>; 0 <=; 0 <~>) % 14.08/14.12 % Maximal formula depth : 10 ( 4 avg) % 14.08/14.12 % Maximal term depth : 3 ( 1 avg) % 14.08/14.12 % Number of predicates : 9 ( 8 usr; 0 prp; 1-2 aty) % 14.08/14.12 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty) % 14.08/14.12 % Number of variables : 61 ( 50 !; 11 ?) % 14.08/14.12 % SPC : FOF_THM_RFO_SEQ % 14.08/14.12 % 14.08/14.12 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 14.08/14.12 % library, www.mizar.org % 14.08/14.12 %------------------------------------------------------------------------------ % 14.08/14.12 fof(reflexivity_r1_tarski,axiom, % 14.08/14.12 ! [A,B] : subset(A,A) ). % 14.08/14.12 % 14.08/14.12 fof(fc4_relat_1,axiom, % 14.08/14.12 ( empty(empty_set) % 14.08/14.12 & relation(empty_set) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc12_relat_1,axiom, % 14.08/14.12 ( empty(empty_set) % 14.08/14.12 & relation(empty_set) % 14.08/14.12 & relation_empty_yielding(empty_set) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc1_xboole_0,axiom, % 14.08/14.12 empty(empty_set) ). % 14.08/14.12 % 14.08/14.12 fof(t2_boole,axiom, % 14.08/14.12 ! [A] : set_intersection2(A,empty_set) = empty_set ). % 14.08/14.12 % 14.08/14.12 fof(existence_m1_subset_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ? [B] : element(B,A) ). % 14.08/14.12 % 14.08/14.12 fof(cc1_funct_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( empty(A) % 14.08/14.12 => function(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(cc2_funct_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( ( relation(A) % 14.08/14.12 & empty(A) % 14.08/14.12 & function(A) ) % 14.08/14.12 => ( relation(A) % 14.08/14.12 & function(A) % 14.08/14.12 & one_to_one(A) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc1_subset_1,axiom, % 14.08/14.12 ! [A] : ~ empty(powerset(A)) ). % 14.08/14.12 % 14.08/14.12 fof(fc5_relat_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( ( ~ empty(A) % 14.08/14.12 & relation(A) ) % 14.08/14.12 => ~ empty(relation_dom(A)) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc7_relat_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( empty(A) % 14.08/14.12 => ( empty(relation_dom(A)) % 14.08/14.12 & relation(relation_dom(A)) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc13_relat_1,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( ( relation(A) % 14.08/14.12 & relation_empty_yielding(A) ) % 14.08/14.12 => ( relation(relation_dom_restriction(A,B)) % 14.08/14.12 & relation_empty_yielding(relation_dom_restriction(A,B)) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(cc1_relat_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( empty(A) % 14.08/14.12 => relation(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(t2_subset,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( element(A,B) % 14.08/14.12 => ( empty(B) % 14.08/14.12 | in(A,B) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(t3_subset,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( element(A,powerset(B)) % 14.08/14.12 <=> subset(A,B) ) ). % 14.08/14.12 % 14.08/14.12 fof(t4_subset,axiom, % 14.08/14.12 ! [A,B,C] : % 14.08/14.12 ( ( in(A,B) % 14.08/14.12 & element(B,powerset(C)) ) % 14.08/14.12 => element(A,C) ) ). % 14.08/14.12 % 14.08/14.12 fof(t5_subset,axiom, % 14.08/14.12 ! [A,B,C] : % 14.08/14.12 ~ ( in(A,B) % 14.08/14.12 & element(B,powerset(C)) % 14.08/14.12 & empty(C) ) ). % 14.08/14.12 % 14.08/14.12 fof(t6_boole,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( empty(A) % 14.08/14.12 => A = empty_set ) ). % 14.08/14.12 % 14.08/14.12 fof(t8_boole,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ~ ( empty(A) % 14.08/14.12 & A != B % 14.08/14.12 & empty(B) ) ). % 14.08/14.12 % 14.08/14.12 fof(commutativity_k3_xboole_0,axiom, % 14.08/14.12 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 14.08/14.12 % 14.08/14.12 fof(idempotence_k3_xboole_0,axiom, % 14.08/14.12 ! [A,B] : set_intersection2(A,A) = A ). % 14.08/14.12 % 14.08/14.12 fof(antisymmetry_r2_hidden,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( in(A,B) % 14.08/14.12 => ~ in(B,A) ) ). % 14.08/14.12 % 14.08/14.12 fof(dt_k7_relat_1,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( relation(A) % 14.08/14.12 => relation(relation_dom_restriction(A,B)) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc4_funct_1,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( ( relation(A) % 14.08/14.12 & function(A) ) % 14.08/14.12 => ( relation(relation_dom_restriction(A,B)) % 14.08/14.12 & function(relation_dom_restriction(A,B)) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc1_funct_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( relation(A) % 14.08/14.12 & function(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc2_funct_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( relation(A) % 14.08/14.12 & empty(A) % 14.08/14.12 & function(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc3_funct_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( relation(A) % 14.08/14.12 & function(A) % 14.08/14.12 & one_to_one(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc1_subset_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ( ~ empty(A) % 14.08/14.12 => ? [B] : % 14.08/14.12 ( element(B,powerset(A)) % 14.08/14.12 & ~ empty(B) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc2_subset_1,axiom, % 14.08/14.12 ! [A] : % 14.08/14.12 ? [B] : % 14.08/14.12 ( element(B,powerset(A)) % 14.08/14.12 & empty(B) ) ). % 14.08/14.12 % 14.08/14.12 fof(fc1_relat_1,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( ( relation(A) % 14.08/14.12 & relation(B) ) % 14.08/14.12 => relation(set_intersection2(A,B)) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc1_relat_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( empty(A) % 14.08/14.12 & relation(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc2_relat_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( ~ empty(A) % 14.08/14.12 & relation(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc3_relat_1,axiom, % 14.08/14.12 ? [A] : % 14.08/14.12 ( relation(A) % 14.08/14.12 & relation_empty_yielding(A) ) ). % 14.08/14.12 % 14.08/14.12 fof(rc1_xboole_0,axiom, % 14.08/14.12 ? [A] : empty(A) ). % 14.08/14.12 % 14.08/14.12 fof(rc2_xboole_0,axiom, % 14.08/14.12 ? [A] : ~ empty(A) ). % 14.08/14.12 % 14.08/14.12 fof(t1_subset,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( in(A,B) % 14.08/14.12 => element(A,B) ) ). % 14.08/14.12 % 14.08/14.12 fof(t7_boole,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ~ ( in(A,B) % 14.08/14.12 & empty(B) ) ). % 14.08/14.12 % 14.08/14.12 fof(t70_funct_1,conjecture, % 14.08/14.12 ! [A,B,C] : % 14.08/14.12 ( ( relation(C) % 14.08/14.12 & function(C) ) % 14.08/14.12 => ( in(B,relation_dom(relation_dom_restriction(C,A))) % 14.08/14.12 => apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ). % 14.08/14.12 % 14.08/14.12 fof(t68_funct_1,axiom, % 14.08/14.12 ! [A,B] : % 14.08/14.12 ( ( relation(B) % 14.08/14.12 & function(B) ) % 14.08/14.12 => ! [C] : % 14.08/14.12 ( ( relation(C) % 14.08/14.12 & function(C) ) % 14.08/14.12 => ( B = relation_dom_restriction(C,A) % 14.08/14.12 <=> ( relation_dom(B) = set_intersection2(relation_dom(C),A) % 14.08/14.12 & ! [D] : % 14.08/14.12 ( in(D,relation_dom(B)) % 14.08/14.12 => apply(B,D) = apply(C,D) ) ) ) ) ) ). % 14.08/14.12 % 14.08/14.12 %------------------------------------------------------------------------------ % 14.08/14.12 %------------------------------------------- % 14.08/14.12 % Proof found % 14.08/14.12 % SZS status Theorem for theBenchmark % 14.08/14.12 % SZS output start Proof % 14.08/14.12 %ClaNum:90(EqnAxiom:28) % 14.08/14.12 %VarNum:147(SingletonVarNum:59) % 14.08/14.12 %MaxLitNum:7 % 14.08/14.12 %MaxfuncDepth:2 % 14.08/14.12 %SharedTerms:39 % 14.08/14.12 %goalClause: 43 49 58 62 % 14.08/14.12 %singleGoalClaCount:4 % 14.08/14.12 [31]P1(a1) % 14.08/14.12 [32]P1(a3) % 14.08/14.12 [33]P1(a12) % 14.08/14.12 [34]P1(a4) % 14.08/14.12 [36]P3(a1) % 14.08/14.12 [37]P3(a5) % 14.08/14.12 [38]P3(a3) % 14.08/14.13 [39]P3(a13) % 14.08/14.13 [40]P3(a12) % 14.08/14.13 [41]P3(a16) % 14.08/14.13 [42]P3(a17) % 14.08/14.13 [43]P3(a6) % 14.08/14.13 [44]P7(a1) % 14.08/14.13 [45]P7(a17) % 14.08/14.13 [46]P4(a5) % 14.08/14.13 [47]P4(a3) % 14.08/14.13 [48]P4(a13) % 14.08/14.13 [49]P4(a6) % 14.08/14.13 [50]P5(a13) % 14.08/14.13 [59]~P1(a16) % 14.08/14.13 [60]~P1(a9) % 14.08/14.13 [58]P6(a7,f21(f20(a6,a8))) % 14.08/14.13 [62]~E(f2(f20(a6,a8),a7),f2(a6,a7)) % 14.08/14.13 [53]P8(x531,x531) % 14.08/14.13 [51]P1(f14(x511)) % 14.08/14.13 [52]E(f18(x521,a1),a1) % 14.08/14.13 [54]E(f18(x541,x541),x541) % 14.08/14.13 [55]P2(f10(x551),x551) % 14.08/14.13 [56]P2(f14(x561),f19(x561)) % 14.08/14.13 [61]~P1(f19(x611)) % 14.08/14.13 [57]E(f18(x571,x572),f18(x572,x571)) % 14.08/14.13 [63]~P1(x631)+E(x631,a1) % 14.08/14.13 [64]~P1(x641)+P3(x641) % 14.08/14.13 [65]~P1(x651)+P4(x651) % 14.08/14.13 [67]~P1(x671)+P1(f21(x671)) % 14.08/14.13 [68]~P1(x681)+P3(f21(x681)) % 14.08/14.13 [69]P1(x691)+~P1(f15(x691)) % 14.08/14.13 [73]P1(x731)+P2(f15(x731),f19(x731)) % 14.08/14.13 [72]~P1(x721)+~P6(x722,x721) % 14.08/14.13 [74]~P6(x741,x742)+P2(x741,x742) % 14.08/14.13 [83]~P6(x832,x831)+~P6(x831,x832) % 14.08/14.13 [75]~P3(x751)+P3(f20(x751,x752)) % 14.08/14.13 [77]~P8(x771,x772)+P2(x771,f19(x772)) % 14.08/14.13 [84]P8(x841,x842)+~P2(x841,f19(x842)) % 14.08/14.13 [71]~P3(x711)+P1(x711)+~P1(f21(x711)) % 14.08/14.13 [66]~P1(x662)+~P1(x661)+E(x661,x662) % 14.08/14.13 [76]~P2(x762,x761)+P1(x761)+P6(x762,x761) % 14.08/14.13 [78]~P3(x782)+~P3(x781)+P3(f18(x781,x782)) % 14.08/14.13 [81]~P3(x811)+~P7(x811)+P7(f20(x811,x812)) % 14.08/14.13 [82]~P3(x821)+~P4(x821)+P4(f20(x821,x822)) % 14.08/14.13 [85]~P1(x851)+~P6(x852,x853)+~P2(x853,f19(x851)) % 14.08/14.13 [86]P2(x861,x862)+~P6(x861,x863)+~P2(x863,f19(x862)) % 14.08/14.13 [70]~P1(x701)+~P3(x701)+~P4(x701)+P5(x701) % 14.08/14.13 [87]~P3(x872)+~P3(x871)+~P4(x872)+~P4(x871)+~E(x871,f20(x872,x873))+E(f21(x871),f18(f21(x872),x873)) % 14.08/14.13 [89]~P3(x892)+~P3(x891)+~P4(x892)+~P4(x891)+P6(f11(x893,x891,x892),f21(x891))+E(x891,f20(x892,x893))+~E(f21(x891),f18(f21(x892),x893)) % 14.08/14.13 [90]~P3(x902)+~P3(x901)+~P4(x902)+~P4(x901)+E(x901,f20(x902,x903))+~E(f21(x901),f18(f21(x902),x903))+~E(f2(x901,f11(x903,x901,x902)),f2(x902,f11(x903,x901,x902))) % 14.08/14.13 [88]~P3(x883)+~P3(x881)+~P4(x883)+~P4(x881)+~P6(x882,f21(x881))+E(f2(x881,x882),f2(x883,x882))+~E(x881,f20(x883,x884)) % 14.08/14.13 %EqnAxiom % 14.08/14.13 [1]E(x11,x11) % 14.08/14.13 [2]E(x22,x21)+~E(x21,x22) % 14.08/14.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 14.08/14.13 [4]~E(x41,x42)+E(f14(x41),f14(x42)) % 14.08/14.13 [5]~E(x51,x52)+E(f18(x51,x53),f18(x52,x53)) % 14.08/14.13 [6]~E(x61,x62)+E(f18(x63,x61),f18(x63,x62)) % 14.08/14.13 [7]~E(x71,x72)+E(f11(x71,x73,x74),f11(x72,x73,x74)) % 14.08/14.13 [8]~E(x81,x82)+E(f11(x83,x81,x84),f11(x83,x82,x84)) % 14.08/14.13 [9]~E(x91,x92)+E(f11(x93,x94,x91),f11(x93,x94,x92)) % 14.08/14.13 [10]~E(x101,x102)+E(f10(x101),f10(x102)) % 14.08/14.13 [11]~E(x111,x112)+E(f2(x111,x113),f2(x112,x113)) % 14.08/14.13 [12]~E(x121,x122)+E(f2(x123,x121),f2(x123,x122)) % 14.08/14.13 [13]~E(x131,x132)+E(f19(x131),f19(x132)) % 14.08/14.13 [14]~E(x141,x142)+E(f21(x141),f21(x142)) % 14.08/14.13 [15]~E(x151,x152)+E(f20(x151,x153),f20(x152,x153)) % 14.08/14.13 [16]~E(x161,x162)+E(f20(x163,x161),f20(x163,x162)) % 14.08/14.13 [17]~E(x171,x172)+E(f15(x171),f15(x172)) % 14.08/14.13 [18]~P1(x181)+P1(x182)+~E(x181,x182) % 14.08/14.13 [19]~P4(x191)+P4(x192)+~E(x191,x192) % 14.08/14.13 [20]P6(x202,x203)+~E(x201,x202)+~P6(x201,x203) % 14.08/14.13 [21]P6(x213,x212)+~E(x211,x212)+~P6(x213,x211) % 14.08/14.13 [22]~P3(x221)+P3(x222)+~E(x221,x222) % 14.08/14.13 [23]P2(x232,x233)+~E(x231,x232)+~P2(x231,x233) % 14.08/14.13 [24]P2(x243,x242)+~E(x241,x242)+~P2(x243,x241) % 14.08/14.13 [25]P8(x252,x253)+~E(x251,x252)+~P8(x251,x253) % 14.08/14.13 [26]P8(x263,x262)+~E(x261,x262)+~P8(x263,x261) % 14.08/14.13 [27]~P5(x271)+P5(x272)+~E(x271,x272) % 14.08/14.13 [28]~P7(x281)+P7(x282)+~E(x281,x282) % 14.08/14.13 % 14.08/14.13 %------------------------------------------- % 14.08/14.13 cnf(91,plain, % 14.08/14.13 (~P4(x911)+~P4(f20(x911,x912))+~P3(x911)+~P3(f20(x911,x912))+E(f21(f20(x911,x912)),f18(f21(x911),x912))), % 14.08/14.13 inference(equality_inference,[],[87])). % 14.08/14.13 cnf(92,plain, % 14.08/14.13 (~P4(x921)+~P4(f20(x921,x922))+~P3(x921)+~P3(f20(x921,x922))+E(f2(f20(x921,x922),x923),f2(x921,x923))+~P6(x923,f21(f20(x921,x922)))), % 14.08/14.13 inference(equality_inference,[],[88])). % 14.08/14.13 cnf(97,plain, % 14.08/14.13 (E(x971,f18(x971,x971))), % 14.08/14.13 inference(scs_inference,[],[58,54,31,72,83,2])). % 14.08/14.13 cnf(100,plain, % 14.08/14.13 (P2(f10(x1001),x1001)), % 14.08/14.13 inference(rename_variables,[],[55])). % 14.08/14.13 cnf(102,plain, % 14.08/14.13 (~P6(x1021,f10(f19(a1)))), % 14.08/14.13 inference(scs_inference,[],[62,58,54,31,55,100,72,83,2,11,84,85])). % 14.08/14.13 cnf(103,plain, % 14.08/14.13 (P2(f10(x1031),x1031)), % 14.08/14.13 inference(rename_variables,[],[55])). % 14.08/14.13 cnf(105,plain, % 14.08/14.13 (~E(f2(f20(a6,a8),a7),f18(f2(a6,a7),f2(a6,a7)))), % 14.08/14.13 inference(scs_inference,[],[62,58,54,31,55,100,72,83,2,11,84,85,3])). % 14.08/14.13 cnf(106,plain, % 14.08/14.13 (E(f18(x1061,x1061),x1061)), % 14.08/14.13 inference(rename_variables,[],[54])). % 14.08/14.13 cnf(107,plain, % 14.08/14.13 (~E(f21(f20(a6,a8)),a1)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,31,55,100,72,83,2,11,84,85,3,21])). % 14.08/14.13 cnf(108,plain, % 14.08/14.13 (P6(f10(a16),a16)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,31,59,55,100,103,72,83,2,11,84,85,3,21,76])). % 14.08/14.13 cnf(109,plain, % 14.08/14.13 (P2(f10(x1091),x1091)), % 14.08/14.13 inference(rename_variables,[],[55])). % 14.08/14.13 cnf(112,plain, % 14.08/14.13 (E(f18(x1121,x1121),x1121)), % 14.08/14.13 inference(rename_variables,[],[54])). % 14.08/14.13 cnf(113,plain, % 14.08/14.13 (P2(f10(f18(x1131,x1131)),x1131)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,59,55,100,103,109,72,83,2,11,84,85,3,21,76,18,24])). % 14.08/14.13 cnf(114,plain, % 14.08/14.13 (P2(f10(x1141),x1141)), % 14.08/14.13 inference(rename_variables,[],[55])). % 14.08/14.13 cnf(115,plain, % 14.08/14.13 (P8(x1151,f18(x1151,x1151))), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,59,53,55,100,103,109,72,83,2,11,84,85,3,21,76,18,24,25])). % 14.08/14.13 cnf(116,plain, % 14.08/14.13 (P8(x1161,x1161)), % 14.08/14.13 inference(rename_variables,[],[53])). % 14.08/14.13 cnf(117,plain, % 14.08/14.13 (P8(f18(x1171,x1171),x1171)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,59,53,116,55,100,103,109,72,83,2,11,84,85,3,21,76,18,24,25,26])). % 14.08/14.13 cnf(119,plain, % 14.08/14.13 (P5(a3)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,32,38,47,59,53,116,55,100,103,109,72,83,2,11,84,85,3,21,76,18,24,25,26,70])). % 14.08/14.13 cnf(123,plain, % 14.08/14.13 (~P1(f20(a6,a8))), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,32,38,47,59,53,116,55,100,103,109,72,83,2,11,84,85,3,21,76,18,24,25,26,70,63,67])). % 14.08/14.13 cnf(128,plain, % 14.08/14.13 (P2(f10(x1281),x1281)), % 14.08/14.13 inference(rename_variables,[],[55])). % 14.08/14.13 cnf(130,plain, % 14.08/14.13 (~P4(f18(x1301,x1301))+P4(x1301)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,32,38,47,59,53,116,55,100,103,109,114,72,83,2,11,84,85,3,21,76,18,24,25,26,70,63,67,66,86,19])). % 14.08/14.13 cnf(131,plain, % 14.08/14.13 (P6(x1311,f21(f20(a6,a8)))+~E(a7,x1311)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,32,38,47,59,53,116,55,100,103,109,114,72,83,2,11,84,85,3,21,76,18,24,25,26,70,63,67,66,86,19,20])). % 14.08/14.13 cnf(133,plain, % 14.08/14.13 (P2(x1331,x1332)+~E(f10(x1332),x1331)), % 14.08/14.13 inference(scs_inference,[],[62,58,54,106,112,31,32,38,47,59,53,116,55,100,103,109,114,128,72,83,2,11,84,85,3,21,76,18,24,25,26,70,63,67,66,86,19,20,22,23])). % 14.08/14.13 cnf(137,plain, % 14.08/14.13 (E(x1371,f18(x1371,x1371))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(139,plain, % 14.08/14.13 (E(x1391,f18(x1391,x1391))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(146,plain, % 14.08/14.13 (P2(f10(f18(x1461,x1461)),x1461)), % 14.08/14.13 inference(rename_variables,[],[113])). % 14.08/14.13 cnf(149,plain, % 14.08/14.13 (E(x1491,f18(x1491,x1491))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(151,plain, % 14.08/14.13 (E(x1511,f18(x1511,x1511))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(154,plain, % 14.08/14.13 (P2(f10(f18(x1541,x1541)),x1541)), % 14.08/14.13 inference(rename_variables,[],[113])). % 14.08/14.13 cnf(157,plain, % 14.08/14.13 (E(x1571,f18(x1571,x1571))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(159,plain, % 14.08/14.13 (E(x1591,f18(x1591,x1591))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(161,plain, % 14.08/14.13 (P2(f10(f18(x1611,x1611)),x1611)), % 14.08/14.13 inference(rename_variables,[],[113])). % 14.08/14.13 cnf(164,plain, % 14.08/14.13 (E(x1641,f18(x1641,x1641))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(166,plain, % 14.08/14.13 (E(x1661,f18(x1661,x1661))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(168,plain, % 14.08/14.13 (E(x1681,f18(x1681,x1681))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(172,plain, % 14.08/14.13 (E(x1721,f18(x1721,x1721))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(174,plain, % 14.08/14.13 (E(x1741,f18(x1741,x1741))), % 14.08/14.13 inference(rename_variables,[],[97])). % 14.08/14.13 cnf(184,plain, % 14.08/14.13 (~P4(f20(a6,a8))+~P3(f20(a6,a8))), % 14.08/14.13 inference(scs_inference,[],[43,49,58,62,97,137,139,149,151,157,159,164,166,168,172,174,102,105,107,119,115,117,113,146,154,161,123,108,33,44,56,52,131,133,83,2,72,84,27,28,3,76,18,20,85,22,24,25,21,23,19,26,86,66,70,91,92])). % 14.08/14.13 cnf(1552,plain, % 14.08/14.13 (~P4(f20(a6,a8))), % 14.08/14.13 inference(scs_inference,[],[43,184,75])). % 14.08/14.13 cnf(1556,plain, % 14.08/14.13 ($false), % 14.08/14.13 inference(scs_inference,[],[43,49,1552,130,65,82]), % 14.08/14.13 ['proof']). % 14.08/14.13 % SZS output end Proof % 14.08/14.13 % Total time :13.450000s %------------------------------------------------------------------------------