%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU120+2 : TPTP v8.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 15:01:07 EDT 2024 % Result : Theorem 1.86s 1.97s % Output : CNFRefutation 1.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU120+2 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Jun 21 13:55:39 EDT 2024 % 0.12/0.35 % CPUTime : % 0.47/0.58 start to proof:theBenchmark % 1.86/1.96 %------------------------------------------- % 1.86/1.96 % File :CSE---1.7 % 1.86/1.96 % Problem :theBenchmark % 1.86/1.96 % Transform :cnf % 1.86/1.96 % Format :tptp:raw % 1.86/1.96 % Command :java -jar mcs_scs.jar %d %s % 1.86/1.96 % 1.86/1.96 % Result :Theorem 1.330000s % 1.86/1.96 % Output :CNFRefutation 1.330000s % 1.86/1.96 %------------------------------------------- % 1.86/1.96 %------------------------------------------------------------------------------ % 1.86/1.96 % File : SEU120+2 : TPTP v8.2.0. Released v3.3.0. % 1.86/1.96 % Domain : Set theory % 1.86/1.96 % Problem : MPTP chainy problem t4_xboole_0 % 1.86/1.96 % Version : [Urb07] axioms : Especial. % 1.86/1.96 % English : % 1.86/1.96 % 1.86/1.96 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 1.86/1.96 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 1.86/1.96 % Source : [Urb07] % 1.86/1.96 % Names : chainy-t4_xboole_0 [Urb07] % 1.86/1.96 % 1.86/1.96 % Status : Theorem % 1.86/1.96 % Rating : 0.06 v8.2.0, 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.20 v6.0.0, 0.30 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0 % 1.86/1.96 % Syntax : Number of formulae : 14 ( 7 unt; 0 def) % 1.86/1.96 % Number of atoms : 29 ( 5 equ) % 1.86/1.96 % Maximal formula atoms : 6 ( 2 avg) % 1.86/1.96 % Number of connectives : 26 ( 11 ~; 0 |; 9 &) % 1.86/1.96 % ( 4 <=>; 2 =>; 0 <=; 0 <~>) % 1.86/1.96 % Maximal formula depth : 9 ( 4 avg) % 1.86/1.96 % Maximal term depth : 2 ( 1 avg) % 1.86/1.96 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 1.86/1.96 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 1.86/1.96 % Number of variables : 26 ( 22 !; 4 ?) % 1.86/1.96 % SPC : FOF_THM_RFO_SEQ % 1.86/1.96 % 1.86/1.96 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 1.86/1.96 % library, www.mizar.org % 1.86/1.96 %------------------------------------------------------------------------------ % 1.86/1.96 fof(antisymmetry_r2_hidden,axiom, % 1.86/1.96 ! [A,B] : % 1.86/1.96 ( in(A,B) % 1.86/1.96 => ~ in(B,A) ) ). % 1.86/1.96 % 1.86/1.96 fof(commutativity_k3_xboole_0,axiom, % 1.86/1.96 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 1.86/1.96 % 1.86/1.96 fof(d1_xboole_0,axiom, % 1.86/1.96 ! [A] : % 1.86/1.96 ( A = empty_set % 1.86/1.96 <=> ! [B] : ~ in(B,A) ) ). % 1.86/1.96 % 1.86/1.96 fof(d3_xboole_0,axiom, % 1.86/1.96 ! [A,B,C] : % 1.86/1.96 ( C = set_intersection2(A,B) % 1.86/1.96 <=> ! [D] : % 1.86/1.96 ( in(D,C) % 1.86/1.96 <=> ( in(D,A) % 1.86/1.96 & in(D,B) ) ) ) ). % 1.86/1.96 % 1.86/1.96 fof(d7_xboole_0,axiom, % 1.86/1.96 ! [A,B] : % 1.86/1.96 ( disjoint(A,B) % 1.86/1.96 <=> set_intersection2(A,B) = empty_set ) ). % 1.86/1.96 % 1.86/1.96 fof(dt_k1_xboole_0,axiom, % 1.86/1.96 $true ). % 1.86/1.96 % 1.86/1.96 fof(dt_k3_xboole_0,axiom, % 1.86/1.96 $true ). % 1.86/1.96 % 1.86/1.96 fof(fc1_xboole_0,axiom, % 1.86/1.96 empty(empty_set) ). % 1.86/1.96 % 1.86/1.96 fof(idempotence_k3_xboole_0,axiom, % 1.86/1.96 ! [A,B] : set_intersection2(A,A) = A ). % 1.86/1.96 % 1.86/1.96 fof(rc1_xboole_0,axiom, % 1.86/1.96 ? [A] : empty(A) ). % 1.86/1.96 % 1.86/1.96 fof(rc2_xboole_0,axiom, % 1.86/1.96 ? [A] : ~ empty(A) ). % 1.86/1.96 % 1.86/1.96 fof(symmetry_r1_xboole_0,axiom, % 1.86/1.96 ! [A,B] : % 1.86/1.96 ( disjoint(A,B) % 1.86/1.96 => disjoint(B,A) ) ). % 1.86/1.96 % 1.86/1.96 fof(t3_xboole_0,lemma, % 1.86/1.96 ! [A,B] : % 1.86/1.96 ( ~ ( ~ disjoint(A,B) % 1.86/1.96 & ! [C] : % 1.86/1.96 ~ ( in(C,A) % 1.86/1.96 & in(C,B) ) ) % 1.86/1.96 & ~ ( ? [C] : % 1.86/1.96 ( in(C,A) % 1.86/1.96 & in(C,B) ) % 1.86/1.96 & disjoint(A,B) ) ) ). % 1.86/1.96 % 1.86/1.96 fof(t4_xboole_0,conjecture, % 1.86/1.96 ! [A,B] : % 1.86/1.97 ( ~ ( ~ disjoint(A,B) % 1.86/1.97 & ! [C] : ~ in(C,set_intersection2(A,B)) ) % 1.86/1.97 & ~ ( ? [C] : in(C,set_intersection2(A,B)) % 1.86/1.97 & disjoint(A,B) ) ) ). % 1.86/1.97 % 1.86/1.97 %------------------------------------------------------------------------------ % 1.86/1.97 %------------------------------------------- % 1.86/1.97 % Proof found % 1.86/1.97 % SZS status Theorem for theBenchmark % 1.86/1.97 % SZS output start Proof % 1.86/1.97 %ClaNum:40(EqnAxiom:16) % 1.86/1.97 %VarNum:107(SingletonVarNum:44) % 1.86/1.97 %MaxLitNum:4 % 1.86/1.97 %MaxfuncDepth:1 % 1.86/1.97 %SharedTerms:16 % 1.86/1.97 %goalClause: 24 29 34 37 % 1.86/1.97 [17]P1(a1) % 1.86/1.97 [18]P1(a2) % 1.86/1.97 [21]~P1(a7) % 1.86/1.97 [19]E(f6(x191,x191),x191) % 1.86/1.97 [20]E(f6(x201,x202),f6(x202,x201)) % 1.86/1.97 [24]P2(a8,a12)+~P2(a9,a11) % 1.86/1.97 [29]~P2(a9,a11)+P3(a4,f6(a8,a12)) % 1.86/1.97 [22]P3(f3(x221),x221)+E(x221,a1) % 1.86/1.97 [34]P2(a8,a12)+~P3(x341,f6(a9,a11)) % 1.86/1.97 [37]~P3(x371,f6(a9,a11))+P3(a4,f6(a8,a12)) % 1.86/1.97 [23]~P3(x232,x231)+~E(x231,a1) % 1.86/1.97 [27]~P2(x272,x271)+P2(x271,x272) % 1.86/1.97 [28]~P3(x282,x281)+~P3(x281,x282) % 1.86/1.97 [25]~P2(x251,x252)+E(f6(x251,x252),a1) % 1.86/1.97 [26]P2(x261,x262)+~E(f6(x261,x262),a1) % 1.86/1.97 [30]P2(x301,x302)+P3(f10(x301,x302),x302) % 1.86/1.97 [31]P2(x311,x312)+P3(f10(x311,x312),x311) % 1.86/1.97 [35]~P2(x353,x352)+~P3(x351,x352)+~P3(x351,x353) % 1.86/1.97 [38]P3(f5(x382,x383,x381),x381)+P3(f5(x382,x383,x381),x383)+E(x381,f6(x382,x383)) % 1.86/1.97 [39]P3(f5(x392,x393,x391),x391)+P3(f5(x392,x393,x391),x392)+E(x391,f6(x392,x393)) % 1.86/1.97 [32]~P3(x321,x323)+P3(x321,x322)+~E(x323,f6(x324,x322)) % 1.86/1.97 [33]~P3(x331,x333)+P3(x331,x332)+~E(x333,f6(x332,x334)) % 1.86/1.97 [40]~P3(f5(x402,x403,x401),x401)+~P3(f5(x402,x403,x401),x403)+~P3(f5(x402,x403,x401),x402)+E(x401,f6(x402,x403)) % 1.86/1.97 [36]~P3(x361,x364)+~P3(x361,x363)+P3(x361,x362)+~E(x362,f6(x363,x364)) % 1.86/1.97 %EqnAxiom % 1.86/1.97 [1]E(x11,x11) % 1.86/1.97 [2]E(x22,x21)+~E(x21,x22) % 1.86/1.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.86/1.97 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) % 1.86/1.97 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) % 1.86/1.97 [6]~E(x61,x62)+E(f5(x61,x63,x64),f5(x62,x63,x64)) % 1.86/1.97 [7]~E(x71,x72)+E(f5(x73,x71,x74),f5(x73,x72,x74)) % 1.86/1.97 [8]~E(x81,x82)+E(f5(x83,x84,x81),f5(x83,x84,x82)) % 1.86/1.97 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93)) % 1.86/1.97 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102)) % 1.86/1.97 [11]~E(x111,x112)+E(f3(x111),f3(x112)) % 1.86/1.97 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 1.86/1.97 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133) % 1.86/1.97 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141) % 1.86/1.97 [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153) % 1.86/1.97 [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161) % 1.86/1.97 % 1.86/1.97 %------------------------------------------- % 1.86/1.97 cnf(41,plain, % 1.86/1.97 (~P3(x411,a1)), % 1.86/1.97 inference(equality_inference,[],[23])). % 1.86/1.97 cnf(42,plain, % 1.86/1.97 (~P3(x421,f6(x422,x423))+P3(x421,x423)), % 1.86/1.97 inference(equality_inference,[],[32])). % 1.86/1.97 cnf(43,plain, % 1.86/1.97 (~P3(x431,f6(x432,x433))+P3(x431,x432)), % 1.86/1.97 inference(equality_inference,[],[33])). % 1.86/1.97 cnf(44,plain, % 1.86/1.97 (~P3(x441,x442)+~P3(x441,x443)+P3(x441,f6(x443,x442))), % 1.86/1.97 inference(equality_inference,[],[36])). % 1.86/1.97 cnf(46,plain, % 1.86/1.97 (E(f6(x461,x461),x461)), % 1.86/1.97 inference(rename_variables,[],[19])). % 1.86/1.97 cnf(49,plain, % 1.86/1.97 (E(f6(x491,x491),x491)), % 1.86/1.97 inference(rename_variables,[],[19])). % 1.86/1.97 cnf(51,plain, % 1.86/1.97 (P2(x511,a1)), % 1.86/1.97 inference(scs_inference,[],[41,19,46,23,26,30])). % 1.86/1.97 cnf(52,plain, % 1.86/1.97 (~P3(x521,a1)), % 1.86/1.97 inference(rename_variables,[],[41])). % 1.86/1.97 cnf(55,plain, % 1.86/1.97 (~P3(x551,a1)), % 1.86/1.97 inference(rename_variables,[],[41])). % 1.86/1.97 cnf(57,plain, % 1.86/1.97 (~P3(x571,f6(x572,a1))), % 1.86/1.97 inference(scs_inference,[],[41,52,55,19,46,23,26,30,31,42])). % 1.86/1.97 cnf(59,plain, % 1.86/1.97 (~P3(x591,f6(a1,x592))), % 1.86/1.97 inference(scs_inference,[],[41,52,55,19,46,23,26,30,31,42,43])). % 1.86/1.97 cnf(61,plain, % 1.86/1.97 (E(x611,f6(x611,x611))), % 1.86/1.97 inference(scs_inference,[],[41,52,55,19,46,49,23,26,30,31,42,43,2])). % 1.86/1.97 cnf(63,plain, % 1.86/1.97 (E(f6(x631,x631),x631)), % 1.86/1.97 inference(rename_variables,[],[19])). % 1.86/1.97 cnf(66,plain, % 1.86/1.97 (E(f6(x661,x661),x661)), % 1.94/1.97 inference(rename_variables,[],[19])). % 1.94/1.97 cnf(68,plain, % 1.94/1.97 (~P1(f6(a7,a7))), % 1.94/1.97 inference(scs_inference,[],[41,52,55,19,46,49,63,66,21,23,26,30,31,42,43,2,32,33,12])). % 1.94/1.97 cnf(70,plain, % 1.94/1.97 (P2(x701,x702)+~E(a1,x701)), % 1.94/1.97 inference(scs_inference,[],[41,52,55,19,46,49,63,66,21,23,26,30,31,42,43,2,32,33,12,15])). % 1.94/1.97 cnf(71,plain, % 1.94/1.97 (P2(x711,x712)+~E(a1,x712)), % 1.94/1.97 inference(scs_inference,[],[41,52,55,19,46,49,63,66,21,23,26,30,31,42,43,2,32,33,12,15,16])). % 1.94/1.97 cnf(75,plain, % 1.94/1.97 (E(x751,f6(x751,x751))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(77,plain, % 1.94/1.97 (E(x771,f6(x771,x771))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(78,plain, % 1.94/1.97 (P2(f6(x781,a1),x782)), % 1.94/1.97 inference(scs_inference,[],[61,75,57,70,71,31])). % 1.94/1.97 cnf(79,plain, % 1.94/1.97 (~P3(x791,f6(x792,a1))), % 1.94/1.97 inference(rename_variables,[],[57])). % 1.94/1.97 cnf(81,plain, % 1.94/1.97 (P2(x811,f6(x812,a1))), % 1.94/1.97 inference(scs_inference,[],[61,75,57,79,70,71,31,30])). % 1.94/1.97 cnf(82,plain, % 1.94/1.97 (~P3(x821,f6(x822,a1))), % 1.94/1.97 inference(rename_variables,[],[57])). % 1.94/1.97 cnf(84,plain, % 1.94/1.97 (~P3(x841,f6(f6(x842,a1),x843))), % 1.94/1.97 inference(scs_inference,[],[61,75,57,79,82,70,71,31,30,43])). % 1.94/1.97 cnf(86,plain, % 1.94/1.97 (~P3(x861,f6(x862,f6(x863,a1)))), % 1.94/1.97 inference(scs_inference,[],[61,75,57,79,82,70,71,31,30,43,42])). % 1.94/1.97 cnf(88,plain, % 1.94/1.97 (E(f6(x881,x882),f6(f6(x882,x881),f6(x882,x881)))), % 1.94/1.97 inference(scs_inference,[],[61,75,77,57,79,82,20,70,71,31,30,43,42,3])). % 1.94/1.97 cnf(89,plain, % 1.94/1.97 (E(x891,f6(x891,x891))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(91,plain, % 1.94/1.97 (E(x911,f6(x911,x911))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(93,plain, % 1.94/1.97 (E(x931,f6(x931,x931))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(96,plain, % 1.94/1.97 (E(f6(f6(x961,x962),f6(x961,x962)),f6(x962,x961))), % 1.94/1.97 inference(scs_inference,[],[17,61,75,77,89,91,93,57,79,82,20,70,71,31,30,43,42,3,16,15,12,2])). % 1.94/1.97 cnf(97,plain, % 1.94/1.97 (P2(x971,f6(a1,x972))), % 1.94/1.97 inference(scs_inference,[],[59,30])). % 1.94/1.97 cnf(98,plain, % 1.94/1.97 (~P3(x981,f6(a1,x982))), % 1.94/1.97 inference(rename_variables,[],[59])). % 1.94/1.97 cnf(100,plain, % 1.94/1.97 (P2(f6(a1,x1001),x1002)), % 1.94/1.97 inference(scs_inference,[],[59,98,30,31])). % 1.94/1.97 cnf(101,plain, % 1.94/1.97 (~P3(x1011,f6(a1,x1012))), % 1.94/1.97 inference(rename_variables,[],[59])). % 1.94/1.97 cnf(109,plain, % 1.94/1.97 (E(f6(f6(x1091,x1092),f6(x1091,x1092)),f6(x1092,x1091))), % 1.94/1.97 inference(rename_variables,[],[96])). % 1.94/1.97 cnf(111,plain, % 1.94/1.97 (E(x1111,f6(x1111,x1111))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(112,plain, % 1.94/1.97 (P2(f6(f6(x1121,a1),f6(x1121,a1)),x1122)), % 1.94/1.97 inference(scs_inference,[],[59,98,101,96,78,81,61,111,19,30,31,42,43,3,16,15])). % 1.94/1.97 cnf(116,plain, % 1.94/1.97 (E(x1161,f6(f6(x1161,x1161),f6(x1161,x1161)))), % 1.94/1.97 inference(scs_inference,[],[59,98,101,96,109,78,81,61,111,68,19,30,31,42,43,3,16,15,12,2])). % 1.94/1.97 cnf(148,plain, % 1.94/1.97 (~P2(a9,a11)+E(f6(a8,a12),a1)), % 1.94/1.97 inference(scs_inference,[],[24,25])). % 1.94/1.97 cnf(210,plain, % 1.94/1.97 (~P3(x2101,f3(x2101))+E(x2101,a1)), % 1.94/1.97 inference(scs_inference,[],[28,22])). % 1.94/1.97 cnf(241,plain, % 1.94/1.97 (~P3(x2411,f6(x2412,f3(x2411)))+E(x2411,a1)), % 1.94/1.97 inference(scs_inference,[],[210,42])). % 1.94/1.97 cnf(303,plain, % 1.94/1.97 (~E(f6(a9,a11),a1)+P3(a4,f6(a8,a12))), % 1.94/1.97 inference(scs_inference,[],[29,26])). % 1.94/1.97 cnf(334,plain, % 1.94/1.97 (P2(a12,a8)+~P3(x3341,f6(a9,a11))), % 1.94/1.97 inference(scs_inference,[],[34,27])). % 1.94/1.97 cnf(352,plain, % 1.94/1.97 (P2(x3521,f6(f6(a1,x3522),f6(a1,x3522)))), % 1.94/1.97 inference(scs_inference,[],[97,61,16])). % 1.94/1.97 cnf(353,plain, % 1.94/1.97 (E(x3531,f6(x3531,x3531))), % 1.94/1.97 inference(rename_variables,[],[61])). % 1.94/1.97 cnf(354,plain, % 1.94/1.97 (P2(f6(f6(a1,x3541),f6(a1,x3541)),x3542)), % 1.94/1.97 inference(scs_inference,[],[97,100,61,353,16,15])). % 1.94/1.97 cnf(375,plain, % 1.94/1.97 (P3(f10(a9,a11),a11)+E(f6(a8,a12),a1)), % 1.94/1.97 inference(scs_inference,[],[148,30])). % 1.94/1.97 cnf(406,plain, % 1.94/1.97 (P2(f6(a9,a11),x4061)+P2(a12,a8)), % 1.94/1.98 inference(scs_inference,[],[334,31])). % 1.94/1.98 cnf(437,plain, % 1.94/1.98 (P2(a12,a8)+E(f6(f6(a9,a11),x4371),a1)), % 1.94/1.98 inference(scs_inference,[],[406,25])). % 1.94/1.98 cnf(592,plain, % 1.94/1.98 (E(f6(a9,a11),a1)+P3(a4,f6(a8,a12))), % 1.94/1.98 inference(scs_inference,[],[37,22])). % 1.94/1.98 cnf(623,plain, % 1.94/1.98 (P3(a4,f6(a8,a12))), % 1.94/1.98 inference(scs_inference,[],[303,592])). % 1.94/1.98 cnf(626,plain, % 1.94/1.98 (~P3(f6(a8,a12),f6(a4,x6261))), % 1.94/1.98 inference(scs_inference,[],[623,28,43])). % 1.94/1.98 cnf(628,plain, % 1.94/1.98 (~P3(f6(a8,a12),f6(x6281,a4))), % 1.94/1.98 inference(scs_inference,[],[623,28,43,42])). % 1.94/1.98 cnf(631,plain, % 1.94/1.98 (E(x6311,f6(f6(x6311,x6311),f6(x6311,x6311)))), % 1.94/1.98 inference(rename_variables,[],[116])). % 1.94/1.98 cnf(632,plain, % 1.94/1.98 (~E(f6(a8,a12),f6(f6(x6321,a1),x6322))), % 1.94/1.98 inference(scs_inference,[],[623,84,116,28,43,42,13,14])). % 1.94/1.98 cnf(634,plain, % 1.94/1.98 (P3(a4,f6(f6(a8,a12),f6(a8,a12)))), % 1.94/1.98 inference(scs_inference,[],[623,84,116,631,28,43,42,13,14,33])). % 1.94/1.98 cnf(635,plain, % 1.94/1.98 (E(x6351,f6(f6(x6351,x6351),f6(x6351,x6351)))), % 1.94/1.98 inference(rename_variables,[],[116])). % 1.94/1.98 cnf(636,plain, % 1.94/1.98 (~E(x6361,f6(x6362,x6363))+~P3(x6364,x6361)+P3(x6364,x6362)), % 1.94/1.98 inference(rename_variables,[],[33])). % 1.94/1.98 cnf(638,plain, % 1.94/1.98 (E(f6(x6381,x6381),x6381)), % 1.94/1.98 inference(rename_variables,[],[19])). % 1.94/1.98 cnf(643,plain, % 1.94/1.98 (~E(f6(a8,a12),a1)), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,116,631,635,28,43,42,13,14,33,636,32,3])). % 1.94/1.98 cnf(645,plain, % 1.94/1.98 (P3(a4,f6(a12,a8))), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,116,631,635,88,28,43,42,13,14,33,636,32,3,36])). % 1.94/1.98 cnf(648,plain, % 1.94/1.98 (~P2(a9,a11)), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,116,631,635,88,28,43,42,13,14,33,636,32,3,36,148])). % 1.94/1.98 cnf(651,plain, % 1.94/1.98 (~P2(a8,a12)), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,116,631,635,88,28,43,42,13,14,33,636,32,3,36,148,22,25])). % 1.94/1.98 cnf(655,plain, % 1.94/1.98 (P3(f5(f6(a1,a1),f6(a1,a1),f6(a8,a12)),f6(a8,a12))), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,57,116,631,635,88,28,43,42,13,14,33,636,32,3,36,148,22,25,210,38])). % 1.94/1.98 cnf(662,plain, % 1.94/1.98 (~P2(a11,a9)), % 1.94/1.98 inference(scs_inference,[],[19,638,623,84,57,112,352,116,631,635,88,28,43,42,13,14,33,636,32,3,36,148,22,25,210,38,15,16,27])). % 1.94/1.98 cnf(664,plain, % 1.94/1.98 (~P3(x6641,f6(a9,a11))), % 1.94/1.98 inference(scs_inference,[],[651,34])). % 1.94/1.98 cnf(665,plain, % 1.94/1.98 (P3(f10(a9,a11),a11)), % 1.94/1.98 inference(scs_inference,[],[643,375])). % 1.94/1.98 cnf(667,plain, % 1.94/1.98 (~E(f6(a8,a12),f6(f6(x6671,a1),x6672))), % 1.94/1.98 inference(rename_variables,[],[632])). % 1.94/1.98 cnf(680,plain, % 1.94/1.98 (E(x6801,f6(x6801,x6801))), % 1.94/1.98 inference(rename_variables,[],[61])). % 1.94/1.98 cnf(681,plain, % 1.94/1.98 (~E(f6(a8,a12),f6(x6811,f6(x6812,a1)))), % 1.94/1.98 inference(scs_inference,[],[623,86,655,632,626,651,41,61,4,27,28,43,42,38,13,14])). % 1.94/1.98 cnf(683,plain, % 1.94/1.98 (~E(f6(a8,a12),f6(x6831,a1))), % 1.94/1.98 inference(scs_inference,[],[623,86,655,632,667,626,651,41,61,680,4,27,28,43,42,38,13,14,3])). % 1.94/1.98 cnf(691,plain, % 1.94/1.98 (E(f6(f6(a9,a11),x6911),a1)), % 1.94/1.98 inference(scs_inference,[],[648,623,86,655,354,632,667,626,51,651,41,61,680,4,27,28,43,42,38,13,14,3,15,16,406,437])). % 1.94/1.98 cnf(699,plain, % 1.94/1.98 (P2(x6991,f6(f6(a9,a11),x6992))), % 1.94/1.98 inference(scs_inference,[],[648,623,86,655,354,632,667,626,51,651,41,61,680,17,4,27,28,43,42,38,13,14,3,15,16,406,437,5,23,2,39,12,71])). % 1.94/1.98 cnf(700,plain, % 1.94/1.98 (P2(f6(f6(a9,a11),x7001),x7002)), % 1.94/1.98 inference(scs_inference,[],[648,623,86,655,354,632,667,626,51,651,41,61,680,17,4,27,28,43,42,38,13,14,3,15,16,406,437,5,23,2,39,12,71,70])). % 1.94/1.98 cnf(707,plain, % 1.94/1.98 (~P3(x7071,f6(a9,a11))), % 1.94/1.98 inference(rename_variables,[],[664])). % 1.94/1.98 cnf(716,plain, % 1.94/1.98 (~P3(x7161,f6(a9,a11))), % 1.94/1.98 inference(rename_variables,[],[664])). % 1.94/1.98 cnf(719,plain, % 1.94/1.98 (~E(f6(a8,a12),f6(x7191,f6(x7192,a1)))), % 1.94/1.98 inference(rename_variables,[],[681])). % 1.94/1.98 cnf(720,plain, % 1.94/1.98 (~P3(x7201,f6(a9,a11))), % 1.94/1.98 inference(rename_variables,[],[664])). % 1.94/1.98 cnf(741,plain, % 1.94/1.98 ($false), % 1.94/1.98 inference(scs_inference,[],[664,707,716,720,662,648,623,57,116,628,634,645,699,700,681,719,691,665,643,683,5,30,28,43,42,44,39,13,38,14,3,15,16,241,210,22,31]), % 1.94/1.98 ['proof']). % 1.94/1.98 % SZS output end Proof % 1.94/1.98 % Total time :1.330000s %------------------------------------------------------------------------------