%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET676+3 : TPTP v8.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n026.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 14:22:12 EDT 2024 % Result : Theorem 58.59s 58.65s % Output : CNFRefutation 58.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET676+3 : TPTP v8.2.0. Released v2.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n026.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Sun Jun 23 14:29:09 EDT 2024 % 0.13/0.33 % CPUTime : % 0.49/0.58 start to proof:theBenchmark % 58.59/58.63 %------------------------------------------- % 58.59/58.63 % File :CSE---1.7 % 58.59/58.63 % Problem :theBenchmark % 58.59/58.63 % Transform :cnf % 58.59/58.63 % Format :tptp:raw % 58.59/58.63 % Command :java -jar mcs_scs.jar %d %s % 58.59/58.63 % 58.59/58.63 % Result :Theorem 58.020000s % 58.59/58.63 % Output :CNFRefutation 58.020000s % 58.59/58.63 %------------------------------------------- % 58.59/58.64 %-------------------------------------------------------------------------- % 58.59/58.64 % File : SET676+3 : TPTP v8.2.0. Released v2.2.0. % 58.59/58.64 % Domain : Set Theory (Relations) % 58.59/58.64 % Problem : X x X is a binary relation on X % 58.59/58.64 % Version : [Wor90] axioms : Reduced > Incomplete. % 58.59/58.64 % English : % 58.59/58.64 % 58.59/58.64 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int % 58.59/58.64 % : [Wor90] Woronowicz (1990), Relations Defined on Sets % 58.59/58.64 % Source : [ILF] % 58.59/58.64 % Names : RELSET_1 (41) [Wor90] % 58.59/58.64 % 58.59/58.64 % Status : Theorem % 58.59/58.64 % Rating : 0.03 v8.2.0, 0.06 v8.1.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.4.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.12 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1 % 58.59/58.64 % Syntax : Number of formulae : 20 ( 1 unt; 0 def) % 58.59/58.64 % Number of atoms : 77 ( 2 equ) % 58.59/58.64 % Maximal formula atoms : 9 ( 3 avg) % 58.59/58.64 % Number of connectives : 61 ( 4 ~; 0 |; 11 &) % 58.59/58.64 % ( 7 <=>; 39 =>; 0 <=; 0 <~>) % 58.59/58.64 % Maximal formula depth : 14 ( 6 avg) % 58.59/58.64 % Maximal term depth : 3 ( 1 avg) % 58.59/58.64 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 58.59/58.64 % Number of functors : 8 ( 8 usr; 1 con; 0-2 aty) % 58.59/58.64 % Number of variables : 46 ( 38 !; 8 ?) % 58.59/58.64 % SPC : FOF_THM_RFO_SEQ % 58.59/58.64 % 58.59/58.64 % Comments : % 58.59/58.64 %-------------------------------------------------------------------------- % 58.59/58.64 %---- line(relset_1 - th(5),1916109) % 58.59/58.64 fof(p1,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ilf_type(cross_product(B,C),relation_type(B,C)) ) ) ). % 58.59/58.64 % 58.59/58.64 %---- line(zfmisc_1 - df(1),1903822) % 58.59/58.64 fof(p2,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ! [D] : % 58.59/58.64 ( ilf_type(D,set_type) % 58.59/58.64 => ( member(D,cross_product(B,C)) % 58.59/58.64 <=> ? [E] : % 58.59/58.64 ( ilf_type(E,set_type) % 58.59/58.64 & ? [F] : % 58.59/58.64 ( ilf_type(F,set_type) % 58.59/58.64 & member(E,B) % 58.59/58.64 & member(F,C) % 58.59/58.64 & D = ordered_pair(E,F) ) ) ) ) ) ) ). % 58.59/58.64 % 58.59/58.64 %---- declaration(line(zfmisc_1 - df(1),1903822)) % 58.59/58.64 fof(p3,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ilf_type(cross_product(B,C),set_type) ) ) ). % 58.59/58.64 % 58.59/58.64 %---- line(relset_1 - axiom495,1916837) % 58.59/58.64 fof(p4,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ( ilf_type(C,identity_relation_of_type(B)) % 58.59/58.64 <=> ilf_type(C,relation_type(B,B)) ) ) ) ). % 58.59/58.64 % 58.59/58.64 %---- type_nonempty(line(relset_1 - axiom495,1916837)) % 58.59/58.64 fof(p5,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ? [C] : ilf_type(C,identity_relation_of_type(B)) ) ). % 58.59/58.64 % 58.59/58.64 %---- declaration(op(ordered_pair,2,function)) % 58.59/58.64 fof(p6,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ilf_type(ordered_pair(B,C),set_type) ) ) ). % 58.59/58.64 % 58.59/58.64 %---- line(relset_1 - df(1),1916080) % 58.59/58.64 fof(p7,axiom, % 58.59/58.64 ! [B] : % 58.59/58.64 ( ilf_type(B,set_type) % 58.59/58.64 => ! [C] : % 58.59/58.64 ( ilf_type(C,set_type) % 58.59/58.64 => ( ! [D] : % 58.59/58.64 ( ilf_type(D,subset_type(cross_product(B,C))) % 58.59/58.65 => ilf_type(D,relation_type(B,C)) ) % 58.59/58.65 & ! [E] : % 58.59/58.65 ( ilf_type(E,relation_type(B,C)) % 58.59/58.65 => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- type_nonempty(line(relset_1 - df(1),1916080)) % 58.59/58.65 fof(p8,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ? [D] : ilf_type(D,relation_type(C,B)) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- line(hidden - axiom497,1832648) % 58.59/58.65 fof(p9,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ( ilf_type(C,subset_type(B)) % 58.59/58.65 <=> ilf_type(C,member_type(power_set(B))) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- type_nonempty(line(hidden - axiom497,1832648)) % 58.59/58.65 fof(p10,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ? [C] : ilf_type(C,subset_type(B)) ) ). % 58.59/58.65 % 58.59/58.65 %---- line(hidden - axiom498,1832644) % 58.59/58.65 fof(p11,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ( member(B,power_set(C)) % 58.59/58.65 <=> ! [D] : % 58.59/58.65 ( ilf_type(D,set_type) % 58.59/58.65 => ( member(D,B) % 58.59/58.65 => member(D,C) ) ) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- declaration(line(hidden - axiom498,1832644)) % 58.59/58.65 fof(p12,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ( ~ empty(power_set(B)) % 58.59/58.65 & ilf_type(power_set(B),set_type) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- line(hidden - axiom499,1832640) % 58.59/58.65 fof(p13,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ! [C] : % 58.59/58.65 ( ( ~ empty(C) % 58.59/58.65 & ilf_type(C,set_type) ) % 58.59/58.65 => ( ilf_type(B,member_type(C)) % 58.59/58.65 <=> member(B,C) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- type_nonempty(line(hidden - axiom499,1832640)) % 58.59/58.65 fof(p14,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ( ~ empty(B) % 58.59/58.65 & ilf_type(B,set_type) ) % 58.59/58.65 => ? [C] : ilf_type(C,member_type(B)) ) ). % 58.59/58.65 % 58.59/58.65 %---- line(hidden - axiom500,1832628) % 58.59/58.65 fof(p15,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ( empty(B) % 58.59/58.65 <=> ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ~ member(C,B) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- line(relat_1 - df(1),1917627) % 58.59/58.65 fof(p16,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ( relation_like(B) % 58.59/58.65 <=> ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ( member(C,B) % 58.59/58.65 => ? [D] : % 58.59/58.65 ( ilf_type(D,set_type) % 58.59/58.65 & ? [E] : % 58.59/58.65 ( ilf_type(E,set_type) % 58.59/58.65 & C = ordered_pair(D,E) ) ) ) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- conditional_cluster(axiom502,relation_like) % 58.59/58.65 fof(p17,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ( empty(B) % 58.59/58.65 & ilf_type(B,set_type) ) % 58.59/58.65 => relation_like(B) ) ). % 58.59/58.65 % 58.59/58.65 %---- conditional_cluster(axiom503,relation_like) % 58.59/58.65 fof(p18,axiom, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ! [C] : % 58.59/58.65 ( ilf_type(C,set_type) % 58.59/58.65 => ! [D] : % 58.59/58.65 ( ilf_type(D,subset_type(cross_product(B,C))) % 58.59/58.65 => relation_like(D) ) ) ) ). % 58.59/58.65 % 58.59/58.65 %---- declaration(set) % 58.59/58.65 fof(p19,axiom, % 58.59/58.65 ! [B] : ilf_type(B,set_type) ). % 58.59/58.65 % 58.59/58.65 %---- line(relset_1 - th(41),1916840) % 58.59/58.65 fof(prove_relset_1_41,conjecture, % 58.59/58.65 ! [B] : % 58.59/58.65 ( ilf_type(B,set_type) % 58.59/58.65 => ilf_type(cross_product(B,B),identity_relation_of_type(B)) ) ). % 58.59/58.65 % 58.59/58.65 %-------------------------------------------------------------------------- % 58.59/58.65 %------------------------------------------- % 58.59/58.65 % Proof found % 58.59/58.65 % SZS status Theorem for theBenchmark % 58.59/58.65 % SZS output start Proof % 58.59/58.65 %ClaNum:79(EqnAxiom:38) % 58.59/58.65 %VarNum:191(SingletonVarNum:61) % 58.59/58.65 %MaxLitNum:9 % 58.59/58.65 %MaxfuncDepth:2 % 58.59/58.65 %SharedTerms:6 % 58.59/58.65 %goalClause: 41 % 58.59/58.65 %singleGoalClaCount:1 % 58.59/58.65 [41]~P1(f2(a1,a1),f6(a1)) % 58.59/58.65 [40]P1(x401,a5) % 58.59/58.65 [43]~P1(x431,a5)+~P2(f16(x431)) % 58.59/58.65 [49]~P1(x491,a5)+P1(f8(x491),f6(x491)) % 58.59/58.65 [50]~P1(x501,a5)+P1(f11(x501),f20(x501)) % 58.59/58.65 [42]~P2(x421)+P3(x421)+~P1(x421,a5) % 58.59/58.65 [47]P2(x471)+P4(f7(x471),x471)+~P1(x471,a5) % 58.59/58.65 [48]P3(x481)+P4(f3(x481),x481)+~P1(x481,a5) % 58.59/58.65 [51]P2(x511)+P1(f13(x511),f17(x511))+~P1(x511,a5) % 58.59/58.65 [61]~P1(x612,a5)+~P1(x611,a5)+P1(f2(x611,x612),f19(x611,x612)) % 58.59/58.65 [62]~P1(x622,a5)+~P1(x621,a5)+P1(f12(x621,x622),f19(x622,x621)) % 58.59/58.65 [52]~P2(x521)+~P4(x522,x521)+~P1(x522,a5)+~P1(x521,a5) % 58.59/58.65 [59]P4(f14(x591,x592),x591)+~P1(x592,a5)+~P1(x591,a5)+P4(x591,f16(x592)) % 58.59/58.65 [66]~P1(x662,a5)+~P1(x661,a5)+~P1(x661,f6(x662))+P1(x661,f19(x662,x662)) % 58.59/58.65 [67]~P1(x672,a5)+~P1(x671,a5)+~P1(x671,f19(x672,x672))+P1(x671,f6(x672)) % 58.59/58.65 [68]~P1(x682,a5)+~P1(x681,a5)+~P4(f14(x681,x682),x682)+P4(x681,f16(x682)) % 58.59/58.65 [60]~P1(x602,a5)+~P1(x601,a5)+~P1(x601,f20(x602))+P1(x601,f17(f16(x602))) % 58.59/58.65 [65]~P1(x652,a5)+~P1(x651,a5)+P1(x651,f20(x652))+~P1(x651,f17(f16(x652))) % 58.59/58.65 [71]P3(x711)+~P1(x712,a5)+~P1(x713,a5)+~P1(x711,f20(f2(x713,x712))) % 58.59/58.65 [72]~P1(x723,a5)+~P1(x722,a5)+~P1(x721,f19(x722,x723))+P1(x721,f20(f2(x722,x723))) % 58.59/58.65 [73]~P1(x733,a5)+~P1(x732,a5)+P1(x731,f19(x732,x733))+~P1(x731,f20(f2(x732,x733))) % 58.59/58.65 [55]~P4(x552,x551)+P2(x551)+~P1(x551,a5)+~P1(x552,a5)+P1(x552,f17(x551)) % 58.59/58.65 [56]P2(x561)+P4(x562,x561)+~P1(x561,a5)+~P1(x562,a5)+~P1(x562,f17(x561)) % 58.59/58.65 [70]~P3(x701)+~P4(x702,x701)+~P1(x701,a5)+~P1(x702,a5)+E(f18(f15(x701,x702),f4(x701,x702)),x702) % 58.59/58.65 [57]P3(x571)+~P1(x571,a5)+~P1(x573,a5)+~P1(x572,a5)+~E(f3(x571),f18(x572,x573)) % 58.59/58.65 [77]~P1(x773,a5)+~P1(x772,a5)+~P1(x771,a5)+~P4(x773,f2(x771,x772))+P4(f9(x771,x772,x773),x771) % 58.59/58.65 [78]~P1(x783,a5)+~P1(x782,a5)+~P1(x781,a5)+~P4(x783,f2(x781,x782))+P4(f10(x781,x782,x783),x782) % 58.59/58.65 [79]~P1(x792,a5)+~P1(x791,a5)+~P1(x793,a5)+~P4(x793,f2(x791,x792))+E(f18(f9(x791,x792,x793),f10(x791,x792,x793)),x793) % 58.59/58.65 [69]P4(x691,x692)+~P4(x691,x693)+~P1(x691,a5)+~P1(x692,a5)+~P1(x693,a5)+~P4(x693,f16(x692)) % 58.59/58.65 [74]~P4(x745,x743)+~P4(x744,x742)+~P1(x741,a5)+~P1(x743,a5)+~P1(x742,a5)+~P1(x745,a5)+~P1(x744,a5)+P4(x741,f2(x742,x743))+~E(x741,f18(x744,x745)) % 58.59/58.65 %EqnAxiom % 58.59/58.65 [1]E(x11,x11) % 58.59/58.65 [2]E(x22,x21)+~E(x21,x22) % 58.59/58.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.59/58.65 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 58.59/58.65 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 58.59/58.65 [6]~E(x61,x62)+E(f6(x61),f6(x62)) % 58.59/58.65 [7]~E(x71,x72)+E(f16(x71),f16(x72)) % 58.59/58.65 [8]~E(x81,x82)+E(f20(x81),f20(x82)) % 58.59/58.65 [9]~E(x91,x92)+E(f7(x91),f7(x92)) % 58.59/58.65 [10]~E(x101,x102)+E(f3(x101),f3(x102)) % 58.59/58.65 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113)) % 58.59/58.65 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122)) % 58.59/58.65 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134)) % 58.59/58.65 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144)) % 58.59/58.65 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152)) % 58.59/58.65 [16]~E(x161,x162)+E(f8(x161),f8(x162)) % 58.59/58.65 [17]~E(x171,x172)+E(f9(x171,x173,x174),f9(x172,x173,x174)) % 58.59/58.65 [18]~E(x181,x182)+E(f9(x183,x181,x184),f9(x183,x182,x184)) % 58.59/58.65 [19]~E(x191,x192)+E(f9(x193,x194,x191),f9(x193,x194,x192)) % 58.59/58.65 [20]~E(x201,x202)+E(f11(x201),f11(x202)) % 58.59/58.65 [21]~E(x211,x212)+E(f15(x211,x213),f15(x212,x213)) % 58.59/58.65 [22]~E(x221,x222)+E(f15(x223,x221),f15(x223,x222)) % 58.59/58.65 [23]~E(x231,x232)+E(f13(x231),f13(x232)) % 58.59/58.65 [24]~E(x241,x242)+E(f17(x241),f17(x242)) % 58.59/58.65 [25]~E(x251,x252)+E(f18(x251,x253),f18(x252,x253)) % 58.59/58.65 [26]~E(x261,x262)+E(f18(x263,x261),f18(x263,x262)) % 58.59/58.65 [27]~E(x271,x272)+E(f19(x271,x273),f19(x272,x273)) % 58.59/58.65 [28]~E(x281,x282)+E(f19(x283,x281),f19(x283,x282)) % 58.59/58.65 [29]~E(x291,x292)+E(f4(x291,x293),f4(x292,x293)) % 58.59/58.65 [30]~E(x301,x302)+E(f4(x303,x301),f4(x303,x302)) % 58.59/58.65 [31]~E(x311,x312)+E(f12(x311,x313),f12(x312,x313)) % 58.59/58.65 [32]~E(x321,x322)+E(f12(x323,x321),f12(x323,x322)) % 58.59/58.65 [33]P1(x332,x333)+~E(x331,x332)+~P1(x331,x333) % 58.59/58.65 [34]P1(x343,x342)+~E(x341,x342)+~P1(x343,x341) % 58.59/58.65 [35]P4(x352,x353)+~E(x351,x352)+~P4(x351,x353) % 58.59/58.65 [36]P4(x363,x362)+~E(x361,x362)+~P4(x363,x361) % 58.59/58.65 [37]~P2(x371)+P2(x372)+~E(x371,x372) % 58.59/58.65 [38]~P3(x381)+P3(x382)+~E(x381,x382) % 58.59/58.65 % 58.59/58.65 %------------------------------------------- % 58.59/58.69 cnf(484,plain, % 58.59/58.69 (E(f2(x4841,x4842),f2(x4843,x4842))+~E(x4843,x4841)), % 58.59/58.69 inference(scs_inference,[],[2,4])). % 58.59/58.69 cnf(615,plain, % 58.59/58.69 (~E(x6151,x6152)+~P2(f16(x6152))), % 58.59/58.69 inference(scs_inference,[],[40,43,33])). % 58.59/58.69 cnf(616,plain, % 58.59/58.69 (~P2(f16(x6161))), % 58.59/58.69 inference(equality_inference,[],[615])). % 58.59/58.69 cnf(2200,plain, % 58.59/58.69 (P1(x22001,f20(x22002))+~E(f11(x22002),x22001)), % 58.59/58.69 inference(scs_inference,[],[40,50,33])). % 58.59/58.69 cnf(2201,plain, % 58.59/58.69 (P1(f11(x22011),f20(x22011))), % 58.59/58.69 inference(equality_inference,[],[2200])). % 58.59/58.69 cnf(78961,plain, % 58.59/58.69 (P1(f2(x789611,x789611),f19(x789611,x789611))), % 58.59/58.69 inference(scs_inference,[],[40,49,61])). % 58.59/58.69 cnf(78964,plain, % 58.59/58.69 (P1(x789641,a5)), % 58.59/58.69 inference(rename_variables,[],[40])). % 58.59/58.69 cnf(78968,plain, % 58.59/58.69 (P1(x789681,a5)), % 58.59/58.69 inference(rename_variables,[],[40])). % 58.59/58.69 cnf(78969,plain, % 58.59/58.69 (~E(x789691,f2(a1,a1))), % 58.59/58.69 inference(scs_inference,[],[41,40,78964,78968,616,49,61,67,37,34,33])). % 58.59/58.69 cnf(78975,plain, % 58.59/58.69 (~E(x789751,f2(a1,a1))), % 58.59/58.69 inference(rename_variables,[],[78969])). % 58.59/58.69 cnf(78978,plain, % 58.59/58.69 (P1(x789781,a5)), % 58.59/58.69 inference(rename_variables,[],[40])). % 58.59/58.69 cnf(78979,plain, % 58.59/58.69 (P1(x789791,a5)), % 58.59/58.69 inference(rename_variables,[],[40])). % 58.59/58.69 cnf(78983,plain, % 58.59/58.69 (P1(x789831,a5)), % 58.59/58.69 inference(rename_variables,[],[40])). % 58.59/58.69 cnf(78985,plain, % 58.59/58.69 ($false), % 58.59/58.69 inference(scs_inference,[],[41,78961,78969,78975,2201,40,78979,78978,78983,484,2,72,60,67]), % 58.59/58.69 ['proof']). % 58.69/58.72 % SZS output end Proof % 58.69/58.72 % Total time :58.020000s %------------------------------------------------------------------------------