%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET935+1 : TPTP v8.2.0. Released v3.2.0. % 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 14:23:03 EDT 2024 % Result : Theorem 58.67s 58.72s % Output : CNFRefutation 58.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET935+1 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.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 : Sun Jun 23 12:22:53 EDT 2024 % 0.19/0.34 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 58.67/58.71 %------------------------------------------- % 58.67/58.71 % File :CSE---1.7 % 58.67/58.71 % Problem :theBenchmark % 58.67/58.71 % Transform :cnf % 58.67/58.71 % Format :tptp:raw % 58.67/58.71 % Command :java -jar mcs_scs.jar %d %s % 58.67/58.71 % 58.67/58.71 % Result :Theorem 58.100000s % 58.67/58.71 % Output :CNFRefutation 58.100000s % 58.67/58.71 %------------------------------------------- % 58.67/58.72 %------------------------------------------------------------------------------ % 58.67/58.72 % File : SET935+1 : TPTP v8.2.0. Released v3.2.0. % 58.67/58.72 % Domain : Set theory % 58.67/58.72 % Problem : union(powset(A),powset(B)) = powset(union(A,B)) => inc_comp(A,B) % 58.67/58.72 % Version : [Urb06] axioms : Especial. % 58.67/58.72 % English : % 58.67/58.72 % 58.67/58.72 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 58.67/58.72 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 58.67/58.72 % Source : [Urb06] % 58.67/58.72 % Names : zfmisc_1__t82_zfmisc_1 [Urb06] % 58.67/58.72 % 58.67/58.72 % Status : Theorem % 58.67/58.72 % Rating : 0.33 v8.1.0, 0.31 v7.5.0, 0.38 v7.4.0, 0.23 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.30 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.40 v6.0.0, 0.39 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.48 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.1, 0.43 v4.0.0, 0.42 v3.7.0, 0.35 v3.5.0, 0.32 v3.4.0, 0.42 v3.3.0, 0.29 v3.2.0 % 58.67/58.72 % Syntax : Number of formulae : 16 ( 7 unt; 0 def) % 58.67/58.72 % Number of atoms : 30 ( 6 equ) % 58.67/58.72 % Maximal formula atoms : 4 ( 1 avg) % 58.67/58.72 % Number of connectives : 20 ( 6 ~; 2 |; 1 &) % 58.67/58.72 % ( 6 <=>; 5 =>; 0 <=; 0 <~>) % 58.67/58.72 % Maximal formula depth : 8 ( 4 avg) % 58.67/58.72 % Maximal term depth : 3 ( 1 avg) % 58.67/58.72 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 58.67/58.72 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 58.67/58.72 % Number of variables : 33 ( 31 !; 2 ?) % 58.67/58.72 % SPC : FOF_THM_RFO_SEQ % 58.67/58.72 % 58.67/58.72 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 58.67/58.72 % library, www.mizar.org % 58.67/58.72 %------------------------------------------------------------------------------ % 58.67/58.72 fof(antisymmetry_r2_hidden,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( in(A,B) % 58.67/58.72 => ~ in(B,A) ) ). % 58.67/58.72 % 58.67/58.72 fof(commutativity_k2_xboole_0,axiom, % 58.67/58.72 ! [A,B] : set_union2(A,B) = set_union2(B,A) ). % 58.67/58.72 % 58.67/58.72 fof(d10_xboole_0,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( A = B % 58.67/58.72 <=> ( subset(A,B) % 58.67/58.72 & subset(B,A) ) ) ). % 58.67/58.72 % 58.67/58.72 fof(d1_zfmisc_1,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( B = powerset(A) % 58.67/58.72 <=> ! [C] : % 58.67/58.72 ( in(C,B) % 58.67/58.72 <=> subset(C,A) ) ) ). % 58.67/58.72 % 58.67/58.72 fof(d2_xboole_0,axiom, % 58.67/58.72 ! [A,B,C] : % 58.67/58.72 ( C = set_union2(A,B) % 58.67/58.72 <=> ! [D] : % 58.67/58.72 ( in(D,C) % 58.67/58.72 <=> ( in(D,A) % 58.67/58.72 | in(D,B) ) ) ) ). % 58.67/58.72 % 58.67/58.72 fof(d9_xboole_0,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( inclusion_comparable(A,B) % 58.67/58.72 <=> ( subset(A,B) % 58.67/58.72 | subset(B,A) ) ) ). % 58.67/58.72 % 58.67/58.72 fof(fc2_xboole_0,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( ~ empty(A) % 58.67/58.72 => ~ empty(set_union2(A,B)) ) ). % 58.67/58.72 % 58.67/58.72 fof(fc3_xboole_0,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( ~ empty(A) % 58.67/58.72 => ~ empty(set_union2(B,A)) ) ). % 58.67/58.72 % 58.67/58.72 fof(idempotence_k2_xboole_0,axiom, % 58.67/58.72 ! [A,B] : set_union2(A,A) = A ). % 58.67/58.72 % 58.67/58.72 fof(rc1_xboole_0,axiom, % 58.67/58.72 ? [A] : empty(A) ). % 58.67/58.72 % 58.67/58.72 fof(rc2_xboole_0,axiom, % 58.67/58.72 ? [A] : ~ empty(A) ). % 58.67/58.72 % 58.67/58.72 fof(reflexivity_r1_tarski,axiom, % 58.67/58.72 ! [A,B] : subset(A,A) ). % 58.67/58.72 % 58.67/58.72 fof(reflexivity_r3_xboole_0,axiom, % 58.67/58.72 ! [A,B] : inclusion_comparable(A,A) ). % 58.67/58.72 % 58.67/58.72 fof(symmetry_r3_xboole_0,axiom, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( inclusion_comparable(A,B) % 58.67/58.72 => inclusion_comparable(B,A) ) ). % 58.67/58.72 % 58.67/58.72 fof(t7_xboole_1,axiom, % 58.67/58.72 ! [A,B] : subset(A,set_union2(A,B)) ). % 58.67/58.72 % 58.67/58.72 fof(t82_zfmisc_1,conjecture, % 58.67/58.72 ! [A,B] : % 58.67/58.72 ( set_union2(powerset(A),powerset(B)) = powerset(set_union2(A,B)) % 58.67/58.72 => inclusion_comparable(A,B) ) ). % 58.67/58.72 % 58.67/58.72 %------------------------------------------------------------------------------ % 58.67/58.72 %------------------------------------------- % 58.67/58.72 % Proof found % 58.67/58.72 % SZS status Theorem for theBenchmark % 58.67/58.72 % SZS output start Proof % 58.67/58.73 %ClaNum:47(EqnAxiom:18) % 58.67/58.73 %VarNum:140(SingletonVarNum:56) % 58.67/58.73 %MaxLitNum:4 % 58.67/58.73 %MaxfuncDepth:2 % 58.67/58.73 %SharedTerms:13 % 58.67/58.73 %goalClause: 25 27 % 58.67/58.73 %singleGoalClaCount:2 % 58.67/58.73 [19]P1(a1) % 58.67/58.73 [26]~P1(a6) % 58.67/58.73 [27]~P3(a5,a7) % 58.67/58.73 [25]E(f8(f4(a5,a7)),f4(f8(a5),f8(a7))) % 58.67/58.73 [20]P2(x201,x201) % 58.67/58.73 [21]P3(x211,x211) % 58.67/58.73 [22]E(f4(x221,x221),x221) % 58.67/58.73 [23]E(f4(x231,x232),f4(x232,x231)) % 58.67/58.73 [24]P2(x241,f4(x241,x242)) % 58.67/58.73 [29]~E(x291,x292)+P2(x291,x292) % 58.67/58.73 [30]~P2(x302,x301)+P3(x301,x302) % 58.67/58.73 [31]~P3(x312,x311)+P3(x311,x312) % 58.67/58.73 [32]~P2(x321,x322)+P3(x321,x322) % 58.67/58.73 [33]~P4(x332,x331)+~P4(x331,x332) % 58.67/58.73 [38]P1(x381)+~P1(f4(x382,x381)) % 58.67/58.73 [39]P1(x391)+~P1(f4(x391,x392)) % 58.67/58.73 [36]~P2(x362,x361)+~P2(x361,x362)+E(x361,x362) % 58.67/58.73 [37]P2(x372,x371)+~P3(x372,x371)+P2(x371,x372) % 58.67/58.73 [43]P4(f2(x432,x431),x431)+P2(f2(x432,x431),x432)+E(x431,f8(x432)) % 58.67/58.73 [44]~P4(f2(x442,x441),x441)+~P2(f2(x442,x441),x442)+E(x441,f8(x442)) % 58.67/58.73 [34]~P2(x341,x343)+P4(x341,x342)+~E(x342,f8(x343)) % 58.67/58.73 [35]~P4(x351,x353)+P2(x351,x352)+~E(x353,f8(x352)) % 58.67/58.73 [46]~P4(f3(x462,x463,x461),x461)+~P4(f3(x462,x463,x461),x463)+E(x461,f4(x462,x463)) % 58.67/58.73 [47]~P4(f3(x472,x473,x471),x471)+~P4(f3(x472,x473,x471),x472)+E(x471,f4(x472,x473)) % 58.67/58.73 [40]~P4(x401,x404)+P4(x401,x402)+~E(x402,f4(x403,x404)) % 58.67/58.73 [41]~P4(x411,x413)+P4(x411,x412)+~E(x412,f4(x413,x414)) % 58.67/58.73 [45]P4(f3(x452,x453,x451),x451)+P4(f3(x452,x453,x451),x453)+P4(f3(x452,x453,x451),x452)+E(x451,f4(x452,x453)) % 58.67/58.73 [42]~P4(x421,x424)+P4(x421,x422)+P4(x421,x423)+~E(x424,f4(x423,x422)) % 58.67/58.73 %EqnAxiom % 58.67/58.73 [1]E(x11,x11) % 58.67/58.73 [2]E(x22,x21)+~E(x21,x22) % 58.67/58.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.67/58.73 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43)) % 58.67/58.73 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52)) % 58.67/58.73 [6]~E(x61,x62)+E(f3(x61,x63,x64),f3(x62,x63,x64)) % 58.67/58.73 [7]~E(x71,x72)+E(f3(x73,x71,x74),f3(x73,x72,x74)) % 58.67/58.73 [8]~E(x81,x82)+E(f3(x83,x84,x81),f3(x83,x84,x82)) % 58.67/58.73 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93)) % 58.67/58.73 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102)) % 58.67/58.73 [11]~E(x111,x112)+E(f8(x111),f8(x112)) % 58.67/58.73 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 58.67/58.73 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 58.67/58.73 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 58.67/58.73 [15]P3(x152,x153)+~E(x151,x152)+~P3(x151,x153) % 58.67/58.73 [16]P3(x163,x162)+~E(x161,x162)+~P3(x163,x161) % 58.67/58.73 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173) % 58.67/58.73 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181) % 58.67/58.73 % 58.67/58.73 %------------------------------------------- % 58.67/58.75 cnf(49,plain, % 58.67/58.75 (~P2(x491,x492)+P4(x491,f8(x492))), % 58.67/58.75 inference(equality_inference,[],[34])). % 58.67/58.75 cnf(50,plain, % 58.67/58.75 (~P4(x501,f8(x502))+P2(x501,x502)), % 58.67/58.75 inference(equality_inference,[],[35])). % 58.67/58.75 cnf(51,plain, % 58.67/58.75 (~P4(x511,x512)+P4(x511,f4(x513,x512))), % 58.67/58.75 inference(equality_inference,[],[40])). % 58.67/58.75 cnf(52,plain, % 58.67/58.75 (~P4(x521,x522)+P4(x521,f4(x522,x523))), % 58.67/58.75 inference(equality_inference,[],[41])). % 58.67/58.75 cnf(53,plain, % 58.67/58.75 (~P4(x531,f4(x532,x533))+P4(x531,x533)+P4(x531,x532)), % 58.67/58.75 inference(equality_inference,[],[42])). % 58.67/58.75 cnf(54,plain, % 58.67/58.75 (E(f4(f8(a5),f8(a7)),f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[25,2])). % 58.67/58.75 cnf(55,plain, % 58.67/58.75 (~P2(a7,a5)), % 58.67/58.75 inference(scs_inference,[],[25,27,2,30])). % 58.67/58.75 cnf(57,plain, % 58.67/58.75 (~P3(a7,a5)), % 58.67/58.75 inference(scs_inference,[],[25,27,2,30,31])). % 58.67/58.75 cnf(59,plain, % 58.67/58.75 (~P2(a5,a7)), % 58.67/58.75 inference(scs_inference,[],[25,27,2,30,31,32])). % 58.67/58.75 cnf(63,plain, % 58.67/58.75 (~P4(a7,f4(f8(a5),f8(a5)))), % 58.67/58.75 inference(scs_inference,[],[25,27,2,30,31,32,50,53])). % 58.67/58.75 cnf(65,plain, % 58.67/58.75 (~P1(f4(a6,a6))), % 58.67/58.75 inference(scs_inference,[],[25,27,22,26,2,30,31,32,50,53,12])). % 58.67/58.75 cnf(66,plain, % 58.67/58.75 (E(f4(x661,x661),x661)), % 58.67/58.75 inference(rename_variables,[],[22])). % 58.67/58.75 cnf(68,plain, % 58.67/58.75 (P2(x681,x681)), % 58.67/58.75 inference(rename_variables,[],[20])). % 58.67/58.75 cnf(70,plain, % 58.67/58.75 (P2(x701,x701)), % 58.67/58.75 inference(rename_variables,[],[20])). % 58.67/58.75 cnf(71,plain, % 58.67/58.75 (P4(x711,f4(f8(x711),f8(x711)))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,26,2,30,31,32,50,53,12,13,14,34])). % 58.67/58.75 cnf(72,plain, % 58.67/58.75 (E(f4(x721,x721),x721)), % 58.67/58.75 inference(rename_variables,[],[22])). % 58.67/58.75 cnf(75,plain, % 58.67/58.75 (P4(a7,f8(a7))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,23,26,2,30,31,32,50,53,12,13,14,34,18,42])). % 58.67/58.75 cnf(80,plain, % 58.67/58.75 (P4(a7,f4(f4(f8(a7),f8(a7)),x801))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52])). % 58.67/58.75 cnf(82,plain, % 58.67/58.75 (~P4(f4(f8(a7),f8(a7)),a7)), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52,33])). % 58.67/58.75 cnf(84,plain, % 58.67/58.75 (P4(a7,f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52,33,40])). % 58.67/58.75 cnf(86,plain, % 58.67/58.75 (~P4(x861,f8(a5))+P4(x861,f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52,33,40,41])). % 58.67/58.75 cnf(88,plain, % 58.67/58.75 (~E(a5,f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,72,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52,33,40,41,3])). % 58.67/58.75 cnf(90,plain, % 58.67/58.75 (~P2(x901,a5)+P4(x901,f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[25,27,20,68,70,22,66,72,23,26,2,30,31,32,50,53,12,13,14,34,18,42,51,52,33,40,41,3,49])). % 58.67/58.75 cnf(96,plain, % 58.67/58.75 (P4(a5,f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[20,90])). % 58.67/58.75 cnf(97,plain, % 58.67/58.75 (P2(x971,x971)), % 58.67/58.75 inference(rename_variables,[],[20])). % 58.67/58.75 cnf(99,plain, % 58.67/58.75 (P4(a7,f4(x991,f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[75,20,90,51])). % 58.67/58.75 cnf(101,plain, % 58.67/58.75 (P4(a7,f4(f8(a7),x1011))), % 58.67/58.75 inference(scs_inference,[],[75,20,90,51,52])). % 58.67/58.75 cnf(103,plain, % 58.67/58.75 (~P4(a5,f8(a7))), % 58.67/58.75 inference(scs_inference,[],[75,59,20,90,51,52,50])). % 58.67/58.75 cnf(107,plain, % 58.67/58.75 (E(x1071,f4(x1071,x1071))), % 58.67/58.75 inference(scs_inference,[],[75,59,20,22,90,51,52,50,33,2])). % 58.67/58.75 cnf(108,plain, % 58.67/58.75 (~P4(f4(f8(a7),f8(a7)),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[75,82,59,20,22,90,51,52,50,33,2,53])). % 58.67/58.75 cnf(110,plain, % 58.67/58.75 (P2(a7,f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[54,75,82,59,20,22,90,51,52,50,33,2,53,35])). % 58.67/58.75 cnf(112,plain, % 58.67/58.75 (P4(f4(a5,a7),f4(f8(a5),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[54,75,82,59,20,97,22,90,51,52,50,33,2,53,35,34])). % 58.67/58.75 cnf(118,plain, % 58.67/58.75 (P4(f4(a7,a5),f4(f8(a5),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[54,75,65,63,82,59,20,97,22,23,90,51,52,50,33,2,53,35,34,18,12,17])). % 58.67/58.75 cnf(120,plain, % 58.67/58.75 (~E(f4(a7,x1201),a5)), % 58.67/58.75 inference(scs_inference,[],[54,75,65,63,55,82,59,20,97,22,23,24,90,51,52,50,33,2,53,35,34,18,12,17,14])). % 58.67/58.75 cnf(131,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),a7)), % 58.67/58.75 inference(scs_inference,[],[84,51,52,33])). % 58.67/58.75 cnf(135,plain, % 58.67/58.75 (P2(f4(a7,a7),f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[107,84,108,110,51,52,33,53,13])). % 58.67/58.75 cnf(136,plain, % 58.67/58.75 (E(x1361,f4(x1361,x1361))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(140,plain, % 58.67/58.75 (P1(f4(a1,a1))), % 58.67/58.75 inference(scs_inference,[],[88,107,136,84,108,63,110,19,22,51,52,33,53,13,3,18,12])). % 58.67/58.75 cnf(141,plain, % 58.67/58.75 (E(x1411,f4(x1411,x1411))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(142,plain, % 58.67/58.75 (~E(f4(a5,a7),a5)), % 58.67/58.75 inference(scs_inference,[],[88,107,136,84,108,63,55,110,19,22,51,52,33,53,13,3,18,12,14])). % 58.67/58.75 cnf(143,plain, % 58.67/58.75 (P4(f4(a7,a7),f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[88,107,136,141,84,108,63,55,110,19,22,51,52,33,53,13,3,18,12,14,17])). % 58.67/58.75 cnf(157,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),a5)), % 58.67/58.75 inference(scs_inference,[],[96,51,52,33])). % 58.67/58.75 cnf(159,plain, % 58.67/58.75 (~P4(a5,f4(f8(a7),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[96,103,51,52,33,53])). % 58.67/58.75 cnf(161,plain, % 58.67/58.75 (P2(f4(f4(a7,a7),f4(a7,a7)),f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[96,135,107,103,51,52,33,53,13])). % 58.67/58.75 cnf(162,plain, % 58.67/58.75 (E(x1621,f4(x1621,x1621))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(165,plain, % 58.67/58.75 (~E(f8(f4(a5,a7)),f8(a7))), % 58.67/58.75 inference(scs_inference,[],[54,96,135,107,103,51,52,33,53,13,34,18])). % 58.67/58.75 cnf(166,plain, % 58.67/58.75 (P1(f4(f4(a1,a1),f4(a1,a1)))), % 58.67/58.75 inference(scs_inference,[],[54,96,135,140,107,162,103,51,52,33,53,13,34,18,12])). % 58.67/58.75 cnf(167,plain, % 58.67/58.75 (E(x1671,f4(x1671,x1671))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(168,plain, % 58.67/58.75 (P4(f4(a5,a5),f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[54,96,135,140,107,162,167,103,51,52,33,53,13,34,18,12,17])). % 58.67/58.75 cnf(169,plain, % 58.67/58.75 (E(x1691,f4(x1691,x1691))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(170,plain, % 58.67/58.75 (P2(f4(a7,a7),f4(f4(a5,a7),f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[54,96,135,140,107,162,167,169,103,51,52,33,53,13,34,18,12,17,14])). % 58.67/58.75 cnf(172,plain, % 58.67/58.75 (P4(a5,f8(a5))), % 58.67/58.75 inference(scs_inference,[],[25,54,96,135,140,107,162,167,169,103,51,52,33,53,13,34,18,12,17,14,42])). % 58.67/58.75 cnf(183,plain, % 58.67/58.75 (P4(a7,f4(f4(x1831,f8(a7)),x1832))), % 58.67/58.75 inference(scs_inference,[],[99,51,52])). % 58.67/58.75 cnf(185,plain, % 58.67/58.75 (~P4(f4(f4(f8(a7),f8(a7)),x1851),a7)), % 58.67/58.75 inference(scs_inference,[],[80,99,51,52,33])). % 58.67/58.75 cnf(187,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[80,99,131,51,52,33,53])). % 58.67/58.75 cnf(189,plain, % 58.67/58.75 (P4(f4(f4(a7,a7),f4(a7,a7)),f4(f8(a5),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[54,161,80,99,131,51,52,33,53,34])). % 58.67/58.75 cnf(192,plain, % 58.67/58.75 (E(x1921,f4(x1921,x1921))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(194,plain, % 58.67/58.75 (~E(f4(a5,x1941),a7)), % 58.67/58.75 inference(scs_inference,[],[54,170,161,80,99,107,63,59,131,24,51,52,33,53,34,13,18,14])). % 58.67/58.75 cnf(198,plain, % 58.67/58.75 (~E(f8(a7),f8(a5))), % 58.67/58.75 inference(scs_inference,[],[54,170,161,80,99,107,192,63,59,131,24,51,52,33,53,34,13,18,14,17,5])). % 58.67/58.75 cnf(205,plain, % 58.67/58.75 (P4(a5,f4(f8(a5),x2051))), % 58.67/58.75 inference(scs_inference,[],[172,52])). % 58.67/58.75 cnf(207,plain, % 58.67/58.75 (P4(a5,f4(x2071,f8(a5)))), % 58.67/58.75 inference(scs_inference,[],[172,52,51])). % 58.67/58.75 cnf(209,plain, % 58.67/58.75 (~P4(f8(a5),a5)), % 58.67/58.75 inference(scs_inference,[],[172,52,51,33])). % 58.67/58.75 cnf(226,plain, % 58.67/58.75 (P4(a7,f4(x2261,f4(f8(a7),x2262)))), % 58.67/58.75 inference(scs_inference,[],[101,51])). % 58.67/58.75 cnf(228,plain, % 58.67/58.75 (P4(a7,f4(f4(f8(a7),x2281),x2282))), % 58.67/58.75 inference(scs_inference,[],[101,51,52])). % 58.67/58.75 cnf(235,plain, % 58.67/58.75 (P4(f4(a7,a7),f4(f4(x2351,f8(a7)),x2352))), % 58.67/58.75 inference(scs_inference,[],[183,101,63,107,185,51,52,33,53,18,17])). % 58.67/58.75 cnf(236,plain, % 58.67/58.75 (E(x2361,f4(x2361,x2361))), % 58.67/58.75 inference(rename_variables,[],[107])). % 58.67/58.75 cnf(239,plain, % 58.67/58.75 (E(a7,f4(a5,a7))+~P2(f4(a5,a7),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[135,183,101,63,107,236,185,51,52,33,53,18,17,36,3])). % 58.67/58.75 cnf(245,plain, % 58.67/58.75 (P4(a5,f4(f4(f8(a5),x2451),x2452))), % 58.67/58.75 inference(scs_inference,[],[205,52])). % 58.67/58.75 cnf(249,plain, % 58.67/58.75 (~P4(f4(x2491,f4(f8(a7),x2492)),a7)), % 58.67/58.75 inference(scs_inference,[],[226,205,52,51,33])). % 58.67/58.75 cnf(251,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),f4(a5,a5))), % 58.67/58.75 inference(scs_inference,[],[226,205,157,52,51,33,53])). % 58.67/58.75 cnf(254,plain, % 58.67/58.75 (P4(f4(a7,a7),f4(x2541,f4(f8(a7),x2542)))), % 58.67/58.75 inference(scs_inference,[],[226,205,159,107,157,52,51,33,53,18,17])). % 58.67/58.75 cnf(269,plain, % 58.67/58.75 (~P4(f4(f4(f8(a7),x2691),x2692),a7)), % 58.67/58.75 inference(scs_inference,[],[228,207,51,52,33])). % 58.67/58.75 cnf(271,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),f4(f4(a5,a5),f4(a5,a5)))), % 58.67/58.75 inference(scs_inference,[],[251,228,207,51,52,33,53])). % 58.67/58.75 cnf(287,plain, % 58.67/58.75 (P4(x2871,f4(f4(f8(x2871),f8(x2871)),x2872))), % 58.67/58.75 inference(scs_inference,[],[71,52])). % 58.67/58.75 cnf(291,plain, % 58.67/58.75 (~P4(f4(f4(f8(a5),x2911),x2912),a5)), % 58.67/58.75 inference(scs_inference,[],[245,71,52,51,33])). % 58.67/58.75 cnf(293,plain, % 58.67/58.75 (~P4(f8(a5),f4(a5,a5))), % 58.67/58.75 inference(scs_inference,[],[245,71,209,52,51,33,53])). % 58.67/58.75 cnf(296,plain, % 58.67/58.75 (P4(f4(a5,a5),f4(f4(f8(a5),x2961),x2962))), % 58.67/58.75 inference(scs_inference,[],[245,159,107,96,71,209,52,51,33,53,18,17])). % 58.67/58.75 cnf(307,plain, % 58.67/58.75 (P4(f4(a7,a7),f4(x3071,f8(f4(a5,a7))))), % 58.67/58.75 inference(scs_inference,[],[143,51])). % 58.67/58.75 cnf(309,plain, % 58.67/58.75 (P4(f4(a7,a7),f4(f8(f4(a5,a7)),x3091))), % 58.67/58.75 inference(scs_inference,[],[143,51,52])). % 58.67/58.75 cnf(313,plain, % 58.67/58.75 (~P4(f8(a5),f4(f4(a5,a5),f4(a5,a5)))), % 58.67/58.75 inference(scs_inference,[],[287,293,143,51,52,33,53])). % 58.67/58.75 cnf(316,plain, % 58.67/58.75 (P4(x3161,f8(x3161))), % 58.67/58.75 inference(scs_inference,[],[54,287,293,22,189,143,51,52,33,53,18,42])). % 58.67/58.75 cnf(331,plain, % 58.67/58.75 (P4(x3311,f4(f8(x3311),x3312))), % 58.67/58.75 inference(scs_inference,[],[316,52])). % 58.67/58.75 cnf(333,plain, % 58.67/58.75 (P4(x3331,f4(x3332,f8(x3331)))), % 58.67/58.75 inference(scs_inference,[],[316,52,51])). % 58.67/58.75 cnf(339,plain, % 58.67/58.75 (P4(f4(a7,a5),f8(f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[54,99,316,118,249,52,51,33,53,18])). % 58.67/58.75 cnf(340,plain, % 58.67/58.75 (E(a7,f4(a5,a7))+~P2(f4(a5,a7),a7)), % 58.67/58.75 inference(scs_inference,[],[54,99,316,110,118,249,52,51,33,53,18,36])). % 58.67/58.75 cnf(357,plain, % 58.67/58.75 (~P4(f8(x3571),x3571)), % 58.67/58.75 inference(scs_inference,[],[316,331,51,52,33])). % 58.67/58.75 cnf(359,plain, % 58.67/58.75 (~P4(f4(f4(f8(a7),x3591),x3592),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[316,331,269,51,52,33,53])). % 58.67/58.75 cnf(361,plain, % 58.67/58.75 (P4(f4(a5,a5),f4(f8(a5),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[25,316,331,168,269,51,52,33,53,18])). % 58.67/58.75 cnf(362,plain, % 58.67/58.75 (~P2(f8(f8(x3621)),x3621)), % 58.67/58.75 inference(scs_inference,[],[25,316,331,168,269,51,52,33,53,18,49])). % 58.67/58.75 cnf(375,plain, % 58.67/58.75 (~E(f8(f8(x3751)),x3751)), % 58.67/58.75 inference(scs_inference,[],[362,29])). % 58.67/58.75 cnf(379,plain, % 58.67/58.75 (P4(x3791,f4(x3792,f4(x3793,f8(x3791))))), % 58.67/58.75 inference(scs_inference,[],[333,362,29,52,51])). % 58.67/58.75 cnf(381,plain, % 58.67/58.75 (~P4(f4(x3811,f8(x3812)),x3812)), % 58.67/58.75 inference(scs_inference,[],[333,362,29,52,51,33])). % 58.67/58.75 cnf(384,plain, % 58.67/58.75 (~P4(f8(x3841),x3841)), % 58.67/58.75 inference(rename_variables,[],[357])). % 58.67/58.75 cnf(390,plain, % 58.67/58.75 (~P2(f4(x3901,f8(f8(x3902))),x3902)), % 58.67/58.75 inference(scs_inference,[],[333,271,96,110,357,384,362,29,52,51,33,53,13,17,49])). % 58.67/58.75 cnf(394,plain, % 58.67/58.75 (~P2(f4(f4(a1,a1),x3941),f4(a1,a1))+P1(f4(f4(a1,a1),x3941))), % 58.67/58.75 inference(scs_inference,[],[140,333,271,96,110,24,357,384,362,29,52,51,33,53,13,17,49,36,12])). % 58.67/58.75 cnf(406,plain, % 58.67/58.75 (~E(f4(x4061,f8(f8(x4062))),x4062)), % 58.67/58.75 inference(scs_inference,[],[390,29])). % 58.67/58.75 cnf(412,plain, % 58.67/58.75 (~P4(f4(f8(x4121),x4122),x4121)), % 58.67/58.75 inference(scs_inference,[],[331,361,339,390,29,52,51,33])). % 58.67/58.75 cnf(419,plain, % 58.67/58.75 (~E(f8(f8(x4191)),x4191)), % 58.67/58.75 inference(rename_variables,[],[375])). % 58.67/58.75 cnf(420,plain, % 58.67/58.75 (~E(f8(f8(f4(x4201,x4202))),x4202)), % 58.67/58.75 inference(scs_inference,[],[375,107,331,359,361,339,381,390,29,52,51,33,53,3,5])). % 58.67/58.75 cnf(422,plain, % 58.67/58.75 (~P2(f4(f8(f8(x4221)),x4222),x4221)), % 58.67/58.75 inference(scs_inference,[],[375,107,331,359,361,339,381,390,29,52,51,33,53,3,5,11,49])). % 58.67/58.75 cnf(426,plain, % 58.67/58.75 (P2(f4(a7,a7),f4(a7,a5))), % 58.67/58.75 inference(scs_inference,[],[375,135,107,198,331,359,23,361,339,381,390,29,52,51,33,53,3,5,11,49,44,14])). % 58.67/58.75 cnf(427,plain, % 58.67/58.75 (E(f4(x4271,x4272),f4(x4272,x4271))), % 58.67/58.75 inference(rename_variables,[],[23])). % 58.67/58.75 cnf(431,plain, % 58.67/58.75 (E(f4(a7,a7),f4(a7,a5))+~P2(f4(a7,a5),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[375,135,107,198,331,359,23,427,361,339,381,390,296,29,52,51,33,53,3,5,11,49,44,14,18,36])). % 58.67/58.75 cnf(436,plain, % 58.67/58.75 (P4(f4(a5,a7),f8(a7))+P4(f4(a5,a7),f8(a5))), % 58.67/58.75 inference(scs_inference,[],[25,375,419,135,107,198,316,331,359,23,427,361,339,381,390,296,29,52,51,33,53,3,5,11,49,44,14,18,36,12,45,42])). % 58.67/58.75 cnf(443,plain, % 58.67/58.75 (P4(f4(a5,a7),f4(f4(f8(a5),f8(a7)),x4431))), % 58.67/58.75 inference(scs_inference,[],[420,112,422,29,11,52])). % 58.67/58.75 cnf(453,plain, % 58.67/58.75 (P2(f4(a7,a7),f4(f4(a7,a5),f4(a7,a5)))), % 58.67/58.75 inference(scs_inference,[],[107,307,420,426,112,362,422,291,29,11,52,51,33,53,13,14])). % 58.67/58.75 cnf(457,plain, % 58.67/58.75 (~E(f8(f8(f4(x4571,x4572))),x4571)), % 58.67/58.75 inference(scs_inference,[],[406,107,307,420,426,22,112,362,422,291,29,11,52,51,33,53,13,14,3,4])). % 58.67/58.75 cnf(472,plain, % 58.67/58.75 (P4(f4(a7,a5),f4(f4(f8(a5),f8(a7)),x4721))), % 58.67/58.75 inference(scs_inference,[],[457,118,11,52])). % 58.67/58.75 cnf(488,plain, % 58.67/58.75 (E(f4(f4(a7,a5),f4(a7,a5)),f4(a7,a7))+~P2(f4(f4(a7,a5),f4(a7,a5)),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[316,309,457,453,313,118,412,357,11,52,51,33,53,18,36,42,2])). % 58.67/58.75 cnf(502,plain, % 58.67/58.75 (P4(f4(a5,a5),f4(x5021,f8(f4(a5,a7))))), % 58.67/58.75 inference(scs_inference,[],[168,52,51])). % 58.67/58.75 cnf(548,plain, % 58.67/58.75 (~P4(f8(f4(a5,a7)),f4(f4(a7,a7),f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[187,379,357,33,53])). % 58.67/58.75 cnf(609,plain, % 58.67/58.75 (P4(f4(a7,a5),f4(f8(a7),x6091))+P4(f4(a7,a5),f8(a5))), % 58.67/58.75 inference(scs_inference,[],[251,472,22,357,33,53,42,52])). % 58.67/58.75 cnf(785,plain, % 58.67/58.75 (~P4(f4(a5,a7),f8(a7))+E(a7,f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[340,50])). % 58.67/58.75 cnf(817,plain, % 58.67/58.75 (P2(f4(f4(a7,a7),f4(a7,a7)),f4(a7,a5))), % 58.67/58.75 inference(scs_inference,[],[426,107,13])). % 58.67/58.75 cnf(943,plain, % 58.67/58.75 (~P4(f4(a5,a7),f8(a7))), % 58.67/58.75 inference(scs_inference,[],[194,785,2])). % 58.67/58.75 cnf(944,plain, % 58.67/58.75 (P4(f4(a5,a7),f8(a5))), % 58.67/58.75 inference(scs_inference,[],[943,436])). % 58.67/58.75 cnf(948,plain, % 58.67/58.75 (~P4(f4(a5,a7),f4(f8(a7),f8(a7)))), % 58.67/58.75 inference(scs_inference,[],[443,943,49,18,53])). % 58.67/58.75 cnf(952,plain, % 58.67/58.75 (P4(f4(a5,a7),f4(f8(a5),x9521))), % 58.67/58.75 inference(scs_inference,[],[944,52])). % 58.67/58.75 cnf(954,plain, % 58.67/58.75 (~P4(f8(a5),f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[944,52,33])). % 58.67/58.75 cnf(958,plain, % 58.67/58.75 (~P4(f8(a5),f4(f4(a5,a7),f4(a5,a7)))), % 58.67/58.75 inference(scs_inference,[],[944,52,33,51,53])). % 58.67/58.75 cnf(960,plain, % 58.67/58.75 (~E(a7,f4(a5,a7))), % 58.67/58.75 inference(scs_inference,[],[331,944,948,52,33,51,53,17])). % 58.67/58.75 cnf(963,plain, % 58.67/58.75 (~P4(f4(a5,a7),f8(f4(a7,a7)))), % 58.67/58.75 inference(scs_inference,[],[331,944,948,52,33,51,53,17,239,50])). % 58.67/58.75 cnf(965,plain, % 58.67/58.75 (~E(f4(a5,a7),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[331,944,948,52,33,51,53,17,239,50,29])). % 58.67/58.75 cnf(969,plain, % 58.67/58.75 (~P4(f3(a5,a7,a7),a7)), % 58.67/58.75 inference(scs_inference,[],[331,944,948,52,33,51,53,17,239,50,29,47,46])). % 58.67/58.75 cnf(980,plain, % 58.67/58.75 (P4(f4(a5,a7),f4(f4(f8(a5),x9801),x9802))), % 58.67/58.75 inference(scs_inference,[],[952,52])). % 58.67/58.75 cnf(984,plain, % 58.67/58.75 (P4(f4(a5,a7),f4(x9841,f4(f8(a5),x9842)))), % 58.67/58.75 inference(scs_inference,[],[952,52,33,51])). % 58.67/58.75 cnf(986,plain, % 58.67/58.75 (~P4(f3(a5,a7,a7),f4(a7,a7))), % 58.67/58.75 inference(scs_inference,[],[952,969,52,33,51,53])). % 58.67/58.75 cnf(988,plain, % 58.67/58.75 (P4(f3(a5,a7,a7),a5)), % 58.67/58.75 inference(scs_inference,[],[952,969,960,52,33,51,53,45])). % 58.67/58.75 cnf(992,plain, % 58.67/58.75 (~E(f3(a5,a7,a7),f4(x9921,f8(a5)))), % 58.67/58.75 inference(scs_inference,[],[965,952,381,969,960,52,33,51,53,45,47,17])). % 58.67/58.75 cnf(1024,plain, % 58.67/58.75 (P4(f3(a5,a7,a7),f4(a5,x10241))), % 58.67/58.75 inference(scs_inference,[],[988,52])). % 58.67/58.75 cnf(1026,plain, % 58.67/58.76 (~P4(f4(f4(f8(a5),x10261),x10262),f4(a5,a7))), % 58.67/58.76 inference(scs_inference,[],[980,988,52,33])). % 58.67/58.76 cnf(1028,plain, % 58.67/58.76 (P4(f3(a5,a7,a7),f4(x10281,a5))), % 58.67/58.76 inference(scs_inference,[],[980,988,52,33,51])). % 58.67/58.76 cnf(1050,plain, % 58.67/58.76 (P4(f3(a5,a7,a7),f4(x10501,f4(a5,x10502)))), % 58.67/58.76 inference(scs_inference,[],[984,1024,52,33,51])). % 58.67/58.76 cnf(1113,plain, % 58.67/58.76 (P4(f3(a5,a7,a7),f4(f4(x11131,a5),x11132))), % 58.67/58.76 inference(scs_inference,[],[1050,1028,33,52])). % 58.67/58.76 cnf(1115,plain, % 58.67/58.76 (P4(f3(a5,a7,a7),f4(x11151,f4(x11152,a5)))), % 58.67/58.76 inference(scs_inference,[],[1050,1028,33,52,51])). % 58.67/58.76 cnf(1117,plain, % 58.67/58.76 (~P4(f4(x11171,f4(a5,x11172)),f4(f3(a5,a7,a7),f3(a5,a7,a7)))), % 58.67/58.76 inference(scs_inference,[],[1050,1028,33,52,51,53])). % 58.67/58.76 cnf(1132,plain, % 58.67/58.76 (P4(f3(a5,a7,a7),f4(f4(f4(x11321,a5),x11322),x11323))), % 58.67/58.76 inference(scs_inference,[],[1113,52])). % 58.67/58.76 cnf(1134,plain, % 58.67/58.76 (~P4(f4(a5,x11341),f3(a5,a7,a7))), % 58.67/58.76 inference(scs_inference,[],[1024,1113,52,33])). % 58.67/58.76 cnf(1180,plain, % 58.67/58.76 (~E(f4(x11801,a5),f4(a7,a7))), % 58.67/58.76 inference(scs_inference,[],[1028,986,1132,33,18])). % 58.67/58.76 cnf(1221,plain, % 58.67/58.76 (~P2(f4(f4(a7,a5),f4(a7,a5)),f4(a7,a7))), % 58.67/58.76 inference(scs_inference,[],[1115,986,33,53,18,488])). % 58.67/58.76 cnf(1970,plain, % 58.67/58.76 (~P2(f4(a7,a5),f4(a7,a7))), % 58.67/58.76 inference(scs_inference,[],[1180,431,2])). % 58.67/58.76 cnf(1971,plain, % 58.67/58.76 (~P4(f4(a7,a5),f8(f4(a7,a7)))), % 58.67/58.76 inference(scs_inference,[],[1970,50])). % 58.67/58.76 cnf(2065,plain, % 58.67/58.76 (P4(f4(a7,a5),f8(a5))), % 58.67/58.76 inference(scs_inference,[],[948,23,609,17])). % 58.67/58.76 cnf(2066,plain, % 58.67/58.76 (P4(f4(a7,a5),f4(x20661,f8(a5)))), % 58.67/58.76 inference(scs_inference,[],[2065,51])). % 58.67/58.76 cnf(2068,plain, % 58.67/58.76 (P4(f4(a7,a5),f4(f8(a5),x20681))), % 58.67/58.76 inference(scs_inference,[],[2065,51,52])). % 58.67/58.76 cnf(2080,plain, % 58.67/58.76 (P4(f4(a7,a5),f4(x20801,f4(x20802,f8(a5))))), % 58.67/58.76 inference(scs_inference,[],[2066,51])). % 58.67/58.76 cnf(2096,plain, % 58.67/58.76 (~P4(f4(x20961,f4(x20962,f8(a5))),f4(a7,a5))), % 58.67/58.76 inference(scs_inference,[],[2080,2068,51,52,33])). % 58.67/58.76 cnf(2243,plain, % 58.67/58.76 (E(f4(x22431,x22431),x22431)), % 58.67/58.76 inference(rename_variables,[],[22])). % 58.67/58.76 cnf(2244,plain, % 58.67/58.76 (P4(f4(a7,a7),f4(f8(a7),x22441))), % 58.67/58.76 inference(scs_inference,[],[22,2243,170,254,13,18])). % 58.67/58.76 cnf(2267,plain, % 58.67/58.76 (E(f4(x22671,x22671),x22671)), % 58.67/58.76 inference(rename_variables,[],[22])). % 58.67/58.76 cnf(2270,plain, % 58.67/58.76 (P4(f4(a7,a7),f4(x22701,f8(a7)))), % 58.67/58.76 inference(scs_inference,[],[22,2267,453,948,235,2244,33,53,13,17,18])). % 58.67/58.76 cnf(2286,plain, % 58.67/58.76 (P2(x22861,f4(f4(x22861,x22861),x22862))), % 58.67/58.76 inference(scs_inference,[],[22,24,2270,33,53,13])). % 58.67/58.76 cnf(2288,plain, % 58.67/58.76 (P4(f4(a7,a7),f8(a7))), % 58.67/58.76 inference(scs_inference,[],[22,24,2270,33,53,13,18])). % 58.67/58.76 cnf(2299,plain, % 58.67/58.76 (~P2(f4(f4(f3(a5,a7,a7),f3(a5,a7,a7)),f8(a5)),f3(a5,a7,a7))), % 58.67/58.76 inference(scs_inference,[],[2286,992,2288,33,53,36])). % 58.67/58.76 cnf(2583,plain, % 58.67/58.76 (P2(f4(x25831,x25832),f4(f4(x25832,x25831),x25833))), % 58.67/58.76 inference(scs_inference,[],[23,24,13])). % 58.67/58.76 cnf(2607,plain, % 58.67/58.76 (P2(f4(x26071,x26072),f4(x26072,x26071))), % 58.67/58.76 inference(scs_inference,[],[23,20,168,357,17,13])). % 58.67/58.76 cnf(2884,plain, % 58.67/58.76 (P2(f4(f4(x28841,x28842),f4(x28841,x28842)),f4(x28842,x28841))), % 58.67/58.76 inference(scs_inference,[],[107,2607,13])). % 58.67/58.76 cnf(2889,plain, % 58.67/58.76 (E(f4(f4(x28891,x28892),f4(x28891,x28892)),f4(x28892,x28891))), % 58.67/58.76 inference(scs_inference,[],[107,2583,2607,13,36,2])). % 58.67/58.76 cnf(2967,plain, % 58.67/58.76 (~P1(f4(a6,x29671))), % 58.67/58.76 inference(scs_inference,[],[2889,26,9,10,6,7,8,39])). % 58.67/58.76 cnf(2984,plain, % 58.67/58.76 (~P4(f8(x29841),x29841)), % 58.67/58.76 inference(rename_variables,[],[357])). % 58.67/58.76 cnf(2995,plain, % 58.67/58.76 (~P4(f8(f4(x29951,x29952)),f4(f4(x29952,x29951),f4(x29952,x29951)))), % 58.67/58.76 inference(scs_inference,[],[25,142,2884,2889,2096,1026,26,2288,357,2984,9,10,6,7,8,39,11,5,49,32,38,52,30,50,90,86,51,4,2,29,33])). % 58.67/58.76 cnf(2998,plain, % 58.67/58.76 (E(f4(x29981,x29981),x29981)), % 58.67/58.76 inference(rename_variables,[],[22])). % 58.67/58.76 cnf(3000,plain, % 58.67/58.76 (E(f4(x30001,x30001),x30001)), % 58.67/58.76 inference(rename_variables,[],[22])). % 58.67/58.76 cnf(3008,plain, % 58.67/58.76 (P2(f4(a5,a5),f4(a5,a7))), % 58.67/58.76 inference(scs_inference,[],[25,142,2884,2889,1117,2096,1026,1971,166,57,26,502,2288,2066,357,2984,22,2998,3000,9,10,6,7,8,39,11,5,49,32,38,52,30,50,90,86,51,4,2,29,33,15,16,34,40,12,35])). % 58.67/58.76 cnf(3010,plain, % 58.67/58.76 (E(f4(x30101,x30101),x30101)), % 58.67/58.76 inference(rename_variables,[],[22])). % 58.67/58.76 cnf(3012,plain, % 58.67/58.76 (~P2(f4(a5,a7),a5)), % 58.67/58.76 inference(scs_inference,[],[25,142,2884,2889,1117,2096,1026,1971,166,57,26,502,2288,2066,24,357,2984,22,2998,3000,9,10,6,7,8,39,11,5,49,32,38,52,30,50,90,86,51,4,2,29,33,15,16,34,40,12,35,36])). % 58.67/58.76 cnf(3016,plain, % 58.67/58.76 (E(f4(f4(x30161,x30162),f4(x30161,x30162)),f4(x30162,x30161))), % 58.67/58.76 inference(rename_variables,[],[2889])). % 58.67/58.76 cnf(3025,plain, % 58.67/58.76 (~P4(f4(a5,x30251),f3(a5,a7,a7))), % 58.67/58.76 inference(rename_variables,[],[1134])). % 58.67/58.76 cnf(3033,plain, % 58.67/58.76 (P4(f4(a5,a5),f4(f8(a5),x30331))), % 58.67/58.76 inference(scs_inference,[],[25,142,2884,2889,3016,165,958,548,1117,2096,1026,1971,1134,3025,2299,1221,166,57,26,980,296,502,2288,422,2066,24,357,2984,54,22,2998,3000,3010,9,10,6,7,8,39,11,5,49,32,38,52,30,50,90,86,51,4,2,29,33,15,16,34,40,12,35,36,18,3,17,13,14,42,394,41,37,53])). % 58.67/58.76 cnf(3067,plain, % 58.67/58.76 (P3(x30671,x30671)), % 58.67/58.76 inference(rename_variables,[],[21])). % 58.67/58.76 cnf(3077,plain, % 58.67/58.76 ($false), % 58.67/58.76 inference(scs_inference,[],[25,3008,2967,3012,120,3033,2995,954,963,817,2607,1971,2065,952,21,3067,23,22,39,30,32,11,52,49,5,9,7,38,10,6,50,8,51,4,29,2,33,15,16,34,41,40,35]), % 58.67/58.76 ['proof']). % 58.67/58.76 % SZS output end Proof % 58.67/58.76 % Total time :58.100000s %------------------------------------------------------------------------------