%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET914+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 14:22:58 EDT 2024 % Result : Theorem 58.58s 58.68s % Output : CNFRefutation 58.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SET914+1 : TPTP v8.2.0. Released v3.2.0. % 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Jun 23 14:59:39 EDT 2024 % 0.13/0.35 % CPUTime : % 0.56/0.63 start to proof:theBenchmark % 58.58/58.67 %------------------------------------------- % 58.58/58.67 % File :CSE---1.7 % 58.58/58.67 % Problem :theBenchmark % 58.58/58.67 % Transform :cnf % 58.58/58.67 % Format :tptp:raw % 58.58/58.67 % Command :java -jar mcs_scs.jar %d %s % 58.58/58.67 % 58.58/58.67 % Result :Theorem 58.010000s % 58.58/58.67 % Output :CNFRefutation 58.010000s % 58.58/58.67 %------------------------------------------- % 58.58/58.68 %------------------------------------------------------------------------------ % 58.58/58.68 % File : SET914+1 : TPTP v8.2.0. Released v3.2.0. % 58.58/58.68 % Domain : Set theory % 58.58/58.68 % Problem : ~ ( disjoint(unordered_pair(A,B),C) & in(A,C) ) % 58.58/58.68 % Version : [Urb06] axioms : Especial. % 58.58/58.68 % English : % 58.58/58.68 % 58.58/58.68 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 58.58/58.68 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 58.58/58.68 % Source : [Urb06] % 58.58/58.68 % Names : zfmisc_1__t55_zfmisc_1 [Urb06] % 58.58/58.68 % 58.58/58.68 % Status : Theorem % 58.58/58.68 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.27 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.39 v5.5.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.29 v3.2.0 % 58.58/58.68 % Syntax : Number of formulae : 13 ( 6 unt; 0 def) % 58.58/58.68 % Number of atoms : 24 ( 9 equ) % 58.58/58.68 % Maximal formula atoms : 4 ( 1 avg) % 58.58/58.68 % Number of connectives : 15 ( 4 ~; 1 |; 2 &) % 58.58/58.68 % ( 6 <=>; 2 =>; 0 <=; 0 <~>) % 58.58/58.68 % Maximal formula depth : 8 ( 4 avg) % 58.58/58.68 % Maximal term depth : 2 ( 1 avg) % 58.58/58.68 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 58.58/58.68 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty) % 58.58/58.68 % Number of variables : 27 ( 25 !; 2 ?) % 58.58/58.68 % SPC : FOF_THM_RFO_SEQ % 58.58/58.68 % 58.58/58.68 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 58.58/58.68 % library, www.mizar.org % 58.58/58.68 %------------------------------------------------------------------------------ % 58.58/58.68 fof(antisymmetry_r2_hidden,axiom, % 58.58/58.68 ! [A,B] : % 58.58/58.68 ( in(A,B) % 58.58/58.68 => ~ in(B,A) ) ). % 58.58/58.68 % 58.58/58.68 fof(commutativity_k2_tarski,axiom, % 58.58/58.68 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 58.58/58.68 % 58.58/58.68 fof(commutativity_k3_xboole_0,axiom, % 58.58/58.68 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 58.58/58.68 % 58.58/58.68 fof(d1_xboole_0,axiom, % 58.58/58.68 ! [A] : % 58.58/58.68 ( A = empty_set % 58.58/58.68 <=> ! [B] : ~ in(B,A) ) ). % 58.58/58.68 % 58.58/58.68 fof(d2_tarski,axiom, % 58.58/58.68 ! [A,B,C] : % 58.58/58.68 ( C = unordered_pair(A,B) % 58.58/58.68 <=> ! [D] : % 58.58/58.68 ( in(D,C) % 58.58/58.68 <=> ( D = A % 58.58/58.68 | D = B ) ) ) ). % 58.58/58.68 % 58.58/58.68 fof(d3_xboole_0,axiom, % 58.58/58.68 ! [A,B,C] : % 58.58/58.68 ( C = set_intersection2(A,B) % 58.58/58.68 <=> ! [D] : % 58.58/58.68 ( in(D,C) % 58.58/58.68 <=> ( in(D,A) % 58.58/58.68 & in(D,B) ) ) ) ). % 58.58/58.68 % 58.58/58.68 fof(d7_xboole_0,axiom, % 58.58/58.68 ! [A,B] : % 58.58/58.68 ( disjoint(A,B) % 58.58/58.68 <=> set_intersection2(A,B) = empty_set ) ). % 58.58/58.68 % 58.58/58.68 fof(fc1_xboole_0,axiom, % 58.58/58.68 empty(empty_set) ). % 58.58/58.68 % 58.58/58.68 fof(idempotence_k3_xboole_0,axiom, % 58.58/58.68 ! [A,B] : set_intersection2(A,A) = A ). % 58.58/58.68 % 58.58/58.68 fof(rc1_xboole_0,axiom, % 58.58/58.68 ? [A] : empty(A) ). % 58.58/58.68 % 58.58/58.68 fof(rc2_xboole_0,axiom, % 58.58/58.68 ? [A] : ~ empty(A) ). % 58.58/58.68 % 58.58/58.68 fof(symmetry_r1_xboole_0,axiom, % 58.58/58.68 ! [A,B] : % 58.58/58.68 ( disjoint(A,B) % 58.58/58.68 => disjoint(B,A) ) ). % 58.58/58.68 % 58.58/58.68 fof(t55_zfmisc_1,conjecture, % 58.58/58.68 ! [A,B,C] : % 58.58/58.68 ~ ( disjoint(unordered_pair(A,B),C) % 58.58/58.68 & in(A,C) ) ). % 58.58/58.68 % 58.58/58.68 %------------------------------------------------------------------------------ % 58.58/58.68 %------------------------------------------- % 58.58/58.68 % Proof found % 58.58/58.68 % SZS status Theorem for theBenchmark % 58.58/58.68 % SZS output start Proof % 58.58/58.69 %ClaNum:45(EqnAxiom:19) % 58.58/58.69 %VarNum:153(SingletonVarNum:58) % 58.58/58.69 %MaxLitNum:4 % 58.58/58.69 %MaxfuncDepth:1 % 58.58/58.69 %SharedTerms:12 % 58.58/58.69 %goalClause: 22 26 % 58.58/58.69 %singleGoalClaCount:2 % 58.58/58.69 [20]P1(a1) % 58.58/58.69 [21]P1(a2) % 58.58/58.69 [22]P3(a6,a8) % 58.58/58.69 [27]~P1(a7) % 58.58/58.69 [26]P2(f11(a6,a9),a8) % 58.58/58.69 [23]E(f10(x231,x231),x231) % 58.58/58.69 [24]E(f11(x241,x242),f11(x242,x241)) % 58.58/58.69 [25]E(f10(x251,x252),f10(x252,x251)) % 58.58/58.69 [28]P3(f3(x281),x281)+E(x281,a1) % 58.58/58.69 [29]~P3(x292,x291)+~E(x291,a1) % 58.58/58.69 [32]~P2(x322,x321)+P2(x321,x322) % 58.58/58.69 [35]~P3(x352,x351)+~P3(x351,x352) % 58.58/58.69 [30]~P2(x301,x302)+E(f10(x301,x302),a1) % 58.58/58.69 [31]P2(x311,x312)+~E(f10(x311,x312),a1) % 58.58/58.69 [41]P3(f5(x412,x413,x411),x411)+P3(f5(x412,x413,x411),x413)+E(x411,f10(x412,x413)) % 58.58/58.69 [42]P3(f5(x422,x423,x421),x421)+P3(f5(x422,x423,x421),x422)+E(x421,f10(x422,x423)) % 58.58/58.69 [43]~E(f4(x432,x433,x431),x433)+~P3(f4(x432,x433,x431),x431)+E(x431,f11(x432,x433)) % 58.58/58.69 [44]~E(f4(x442,x443,x441),x442)+~P3(f4(x442,x443,x441),x441)+E(x441,f11(x442,x443)) % 58.58/58.69 [33]P3(x331,x332)+~E(x331,x333)+~E(x332,f11(x334,x333)) % 58.58/58.69 [34]P3(x341,x342)+~E(x341,x343)+~E(x342,f11(x343,x344)) % 58.58/58.69 [37]~P3(x371,x373)+P3(x371,x372)+~E(x373,f10(x374,x372)) % 58.58/58.69 [38]~P3(x381,x383)+P3(x381,x382)+~E(x383,f10(x382,x384)) % 58.58/58.69 [40]E(f4(x402,x403,x401),x403)+E(f4(x402,x403,x401),x402)+P3(f4(x402,x403,x401),x401)+E(x401,f11(x402,x403)) % 58.58/58.69 [45]~P3(f5(x452,x453,x451),x451)+~P3(f5(x452,x453,x451),x453)+~P3(f5(x452,x453,x451),x452)+E(x451,f10(x452,x453)) % 58.58/58.69 [36]~P3(x361,x364)+E(x361,x362)+E(x361,x363)+~E(x364,f11(x363,x362)) % 58.58/58.69 [39]~P3(x391,x394)+~P3(x391,x393)+P3(x391,x392)+~E(x392,f10(x393,x394)) % 58.58/58.69 %EqnAxiom % 58.58/58.69 [1]E(x11,x11) % 58.58/58.69 [2]E(x22,x21)+~E(x21,x22) % 58.58/58.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 58.58/58.69 [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43)) % 58.58/58.69 [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52)) % 58.58/58.69 [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63)) % 58.58/58.69 [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72)) % 58.58/58.69 [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84)) % 58.58/58.69 [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94)) % 58.58/58.69 [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102)) % 58.58/58.69 [11]~E(x111,x112)+E(f4(x111,x113,x114),f4(x112,x113,x114)) % 58.58/58.69 [12]~E(x121,x122)+E(f4(x123,x121,x124),f4(x123,x122,x124)) % 58.58/58.69 [13]~E(x131,x132)+E(f4(x133,x134,x131),f4(x133,x134,x132)) % 58.58/58.69 [14]~E(x141,x142)+E(f3(x141),f3(x142)) % 58.58/58.69 [15]~P1(x151)+P1(x152)+~E(x151,x152) % 58.58/58.69 [16]P3(x162,x163)+~E(x161,x162)+~P3(x161,x163) % 58.58/58.69 [17]P3(x173,x172)+~E(x171,x172)+~P3(x173,x171) % 58.58/58.69 [18]P2(x182,x183)+~E(x181,x182)+~P2(x181,x183) % 58.58/58.69 [19]P2(x193,x192)+~E(x191,x192)+~P2(x193,x191) % 58.58/58.69 % 58.58/58.69 %------------------------------------------- % 58.69/58.70 cnf(46,plain, % 58.69/58.70 (~P3(x461,a1)), % 58.69/58.70 inference(equality_inference,[],[29])). % 58.69/58.70 cnf(47,plain, % 58.69/58.70 (~P3(x471,f11(x472,x473))+E(x471,x473)+E(x471,x472)), % 58.69/58.70 inference(equality_inference,[],[36])). % 58.69/58.70 cnf(48,plain, % 58.69/58.70 (~P3(x481,f10(x482,x483))+P3(x481,x483)), % 58.69/58.70 inference(equality_inference,[],[37])). % 58.69/58.70 cnf(49,plain, % 58.69/58.70 (~P3(x491,f10(x492,x493))+P3(x491,x492)), % 58.69/58.70 inference(equality_inference,[],[38])). % 58.69/58.70 cnf(50,plain, % 58.69/58.70 (~P3(x501,x502)+~P3(x501,x503)+P3(x501,f10(x503,x502))), % 58.69/58.70 inference(equality_inference,[],[39])). % 58.69/58.70 cnf(52,plain, % 58.69/58.70 (E(f10(x521,x521),x521)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(54,plain, % 58.69/58.70 (~P3(a8,a6)), % 58.69/58.70 inference(scs_inference,[],[22,23,29,35])). % 58.69/58.70 cnf(56,plain, % 58.69/58.70 (~P3(x561,f10(x562,a1))), % 58.69/58.70 inference(scs_inference,[],[22,46,23,29,35,48])). % 58.69/58.70 cnf(58,plain, % 58.69/58.70 (~P3(x581,f10(a1,x582))), % 58.69/58.70 inference(scs_inference,[],[22,46,23,29,35,48,49])). % 58.69/58.70 cnf(60,plain, % 58.69/58.70 (P2(a1,a1)), % 58.69/58.70 inference(scs_inference,[],[22,46,23,52,29,35,48,49,31])). % 58.69/58.70 cnf(61,plain, % 58.69/58.70 (E(f10(x611,x611),x611)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(63,plain, % 58.69/58.70 (E(x631,f10(x631,x631))), % 58.69/58.70 inference(scs_inference,[],[22,46,23,52,61,29,35,48,49,31,2])). % 58.69/58.70 cnf(65,plain, % 58.69/58.70 (E(f10(x651,x651),x651)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(68,plain, % 58.69/58.70 (E(f10(x681,x681),x681)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(71,plain, % 58.69/58.70 (~P3(x711,a1)), % 58.69/58.70 inference(rename_variables,[],[46])). % 58.69/58.70 cnf(72,plain, % 58.69/58.70 (P2(f11(a9,a6),a8)), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,24,29,35,48,49,31,2,37,38,17,18])). % 58.69/58.70 cnf(73,plain, % 58.69/58.70 (E(f11(x731,x732),f11(x732,x731))), % 58.69/58.70 inference(rename_variables,[],[24])). % 58.69/58.70 cnf(74,plain, % 58.69/58.70 (P3(f10(x741,x741),f11(x741,x742))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,24,73,29,35,48,49,31,2,37,38,17,18,33])). % 58.69/58.70 cnf(75,plain, % 58.69/58.70 (E(f11(x751,x752),f11(x752,x751))), % 58.69/58.70 inference(rename_variables,[],[24])). % 58.69/58.70 cnf(77,plain, % 58.69/58.70 (P3(f10(x771,x771),f11(x772,x771))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,24,73,75,29,35,48,49,31,2,37,38,17,18,33,34])). % 58.69/58.70 cnf(80,plain, % 58.69/58.70 (~E(a8,f10(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,24,73,75,29,35,48,49,31,2,37,38,17,18,33,34,3])). % 58.69/58.70 cnf(81,plain, % 58.69/58.70 (E(f10(x811,x811),x811)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(82,plain, % 58.69/58.70 (~P1(f10(a7,a7))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,81,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15])). % 58.69/58.70 cnf(83,plain, % 58.69/58.70 (E(f10(x831,x831),x831)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(85,plain, % 58.69/58.70 (E(f10(x851,x851),x851)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(87,plain, % 58.69/58.70 (P3(a6,f10(f10(a8,a8),f10(a8,a8)))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39])). % 58.69/58.70 cnf(90,plain, % 58.69/58.70 (P3(f3(a8),a8)), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39,28])). % 58.69/58.70 cnf(92,plain, % 58.69/58.70 (~P3(a8,f11(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39,28,47])). % 58.69/58.70 cnf(94,plain, % 58.69/58.70 (P3(x941,a8)+~E(a6,x941)), % 58.69/58.70 inference(scs_inference,[],[22,46,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39,28,47,16])). % 58.69/58.70 cnf(95,plain, % 58.69/58.70 (P3(f5(a1,a1,a8),a8)), % 58.69/58.70 inference(scs_inference,[],[22,46,71,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39,28,47,16,41])). % 58.69/58.70 cnf(98,plain, % 58.69/58.70 (P2(f11(a6,a9),x981)+~E(a8,x981)), % 58.69/58.70 inference(scs_inference,[],[22,46,71,26,23,52,61,65,68,81,83,85,24,73,75,27,29,35,48,49,31,2,37,38,17,18,33,34,3,15,36,39,28,47,16,41,19])). % 58.69/58.70 cnf(101,plain, % 58.69/58.70 (P3(f10(a6,a6),a8)), % 58.69/58.70 inference(scs_inference,[],[63,94])). % 58.69/58.70 cnf(102,plain, % 58.69/58.70 (E(x1021,f10(x1021,x1021))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(103,plain, % 58.69/58.70 (P2(f11(a6,a9),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[63,102,94,98])). % 58.69/58.70 cnf(104,plain, % 58.69/58.70 (E(x1041,f10(x1041,x1041))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(109,plain, % 58.69/58.70 (~P3(f10(f10(a8,a8),f10(a8,a8)),a6)), % 58.69/58.70 inference(scs_inference,[],[56,87,63,102,94,98,49,48,35])). % 58.69/58.70 cnf(111,plain, % 58.69/58.70 (P3(a6,f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[56,87,63,102,25,94,98,49,48,35,37])). % 58.69/58.70 cnf(114,plain, % 58.69/58.70 (P1(f10(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[56,87,63,102,104,25,20,94,98,49,48,35,37,15])). % 58.69/58.70 cnf(115,plain, % 58.69/58.70 (E(x1151,f10(x1151,x1151))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(118,plain, % 58.69/58.70 (P3(f10(a6,a6),f10(f10(a8,a8),f10(a8,a8)))), % 58.69/58.70 inference(scs_inference,[],[56,87,63,102,104,115,25,80,20,94,98,49,48,35,37,15,47,16])). % 58.69/58.70 cnf(119,plain, % 58.69/58.70 (E(x1191,f10(x1191,x1191))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(120,plain, % 58.69/58.70 (P2(f10(f11(a6,a9),f11(a6,a9)),a8)), % 58.69/58.70 inference(scs_inference,[],[26,56,87,63,102,104,115,119,25,80,20,94,98,49,48,35,37,15,47,16,18])). % 58.69/58.70 cnf(121,plain, % 58.69/58.70 (E(x1211,f10(x1211,x1211))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(122,plain, % 58.69/58.70 (~E(f10(f10(a8,a8),f10(a8,a8)),a1)), % 58.69/58.70 inference(scs_inference,[],[26,46,56,87,63,102,104,115,119,25,80,20,94,98,49,48,35,37,15,47,16,18,17])). % 58.69/58.70 cnf(124,plain, % 58.69/58.70 (P2(f11(a9,a6),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[26,46,56,87,72,63,102,104,115,119,121,25,80,20,94,98,49,48,35,37,15,47,16,18,17,19])). % 58.69/58.70 cnf(126,plain, % 58.69/58.70 (~P2(f10(a8,a8),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[26,46,56,87,72,63,102,104,115,119,121,25,80,20,94,98,49,48,35,37,15,47,16,18,17,19,30])). % 58.69/58.70 cnf(132,plain, % 58.69/58.70 (~P3(f10(a8,a8),a6)), % 58.69/58.70 inference(scs_inference,[],[92,111,48,49,35])). % 58.69/58.70 cnf(135,plain, % 58.69/58.70 (E(x1351,f10(x1351,x1351))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(136,plain, % 58.69/58.70 (~P3(f10(f10(a8,a8),f10(a8,a8)),f11(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[92,111,122,114,63,48,49,35,15,47])). % 58.69/58.70 cnf(138,plain, % 58.69/58.70 (~E(f10(a8,a8),a1)), % 58.69/58.70 inference(scs_inference,[],[46,92,111,122,114,63,48,49,35,15,47,17])). % 58.69/58.70 cnf(140,plain, % 58.69/58.70 (P3(f10(a6,a6),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[46,92,111,122,114,63,135,48,49,35,15,47,17,16])). % 58.69/58.70 cnf(141,plain, % 58.69/58.70 (E(x1411,f10(x1411,x1411))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(142,plain, % 58.69/58.70 (~E(f11(a6,a9),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[46,126,92,111,103,122,114,63,135,48,49,35,15,47,17,16,18])). % 58.69/58.70 cnf(145,plain, % 58.69/58.70 (~P2(a8,a8)), % 58.69/58.70 inference(scs_inference,[],[46,126,92,111,103,122,114,63,135,141,48,49,35,15,47,17,16,18,19,30])). % 58.69/58.70 cnf(147,plain, % 58.69/58.70 (P3(f3(f10(a8,a8)),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[46,126,92,111,103,122,114,63,135,141,48,49,35,15,47,17,16,18,19,30,28])). % 58.69/58.70 cnf(162,plain, % 58.69/58.70 (~P3(a8,f10(x1621,a6))), % 58.69/58.70 inference(scs_inference,[],[54,48])). % 58.69/58.70 cnf(164,plain, % 58.69/58.70 (~P3(a8,f10(a6,x1641))), % 58.69/58.70 inference(scs_inference,[],[54,48,49])). % 58.69/58.70 cnf(168,plain, % 58.69/58.70 (P3(f3(f10(a8,a8)),a8)), % 58.69/58.70 inference(scs_inference,[],[147,54,25,48,49,35,37])). % 58.69/58.70 cnf(173,plain, % 58.69/58.70 (~E(f11(x1731,x1732),a1)), % 58.69/58.70 inference(scs_inference,[],[46,147,54,142,23,25,74,48,49,35,37,3,17])). % 58.69/58.70 cnf(177,plain, % 58.69/58.70 (P3(f10(f3(a8),f3(a8)),a8)), % 58.69/58.70 inference(scs_inference,[],[46,147,54,90,142,23,25,74,63,48,49,35,37,3,17,47,16])). % 58.69/58.70 cnf(178,plain, % 58.69/58.70 (E(x1781,f10(x1781,x1781))), % 58.69/58.70 inference(rename_variables,[],[63])). % 58.69/58.70 cnf(179,plain, % 58.69/58.70 (~E(f11(a6,a9),a8)), % 58.69/58.70 inference(scs_inference,[],[26,46,147,54,90,142,145,23,25,74,63,48,49,35,37,3,17,47,16,18])). % 58.69/58.70 cnf(180,plain, % 58.69/58.70 (P2(f10(f11(a6,a9),f11(a6,a9)),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[26,46,147,54,90,142,120,145,23,25,74,63,178,48,49,35,37,3,17,47,16,18,19])). % 58.69/58.70 cnf(182,plain, % 58.69/58.70 (P3(f3(f11(x1821,x1822)),f11(x1821,x1822))), % 58.69/58.70 inference(scs_inference,[],[26,46,147,54,90,142,120,145,23,25,74,63,178,48,49,35,37,3,17,47,16,18,19,28])). % 58.69/58.70 cnf(195,plain, % 58.69/58.70 (~P3(f10(a8,a8),f11(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[138,182,58,48,49,35,47])). % 58.69/58.70 cnf(197,plain, % 58.69/58.70 (~E(f10(a8,a8),f10(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[138,182,58,23,48,49,35,47,3])). % 58.69/58.70 cnf(198,plain, % 58.69/58.70 (E(f10(x1981,x1981),x1981)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(199,plain, % 58.69/58.70 (~E(f10(a1,a1),f10(f10(a8,a8),f10(a8,a8)))), % 58.69/58.70 inference(scs_inference,[],[138,182,136,58,23,77,48,49,35,47,3,16])). % 58.69/58.70 cnf(202,plain, % 58.69/58.70 (P2(a1,f10(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[138,182,136,180,58,126,23,77,60,63,48,49,35,47,3,16,18,19])). % 58.69/58.70 cnf(210,plain, % 58.69/58.70 (P3(f5(f10(a8,a8),f10(a8,a8),f10(a1,a1)),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[46,56,138,182,136,180,58,126,23,198,77,60,63,48,49,35,47,3,16,18,19,36,42,41])). % 58.69/58.70 cnf(220,plain, % 58.69/58.70 (~P3(f10(a8,a8),f10(a6,a6))), % 58.69/58.70 inference(scs_inference,[],[162,140,48,49,35])). % 58.69/58.70 cnf(222,plain, % 58.69/58.70 (~P3(f11(x2221,x2222),f11(a1,a1))), % 58.69/58.70 inference(scs_inference,[],[162,140,173,48,49,35,47])). % 58.69/58.70 cnf(226,plain, % 58.69/58.70 (~E(f11(a9,a6),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[162,140,173,182,195,124,126,48,49,35,47,16,18])). % 58.69/58.70 cnf(239,plain, % 58.69/58.70 (~P3(f11(a6,a9),f11(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[118,164,179,48,35,49,47])). % 58.69/58.70 cnf(246,plain, % 58.69/58.70 (P3(f3(f11(x2461,x2462)),f11(x2461,x2462))), % 58.69/58.70 inference(rename_variables,[],[182])). % 58.69/58.70 cnf(249,plain, % 58.69/58.70 (E(f3(f11(x2491,x2492)),x2491)+E(f3(f11(x2491,x2492)),x2492)), % 58.69/58.70 inference(scs_inference,[],[118,164,202,182,246,222,179,226,23,63,24,48,35,49,47,18,19,16,45,36])). % 58.69/58.70 cnf(260,plain, % 58.69/58.70 (P3(f10(f5(a1,a1,a8),f5(a1,a1,a8)),a8)), % 58.69/58.70 inference(scs_inference,[],[168,226,220,63,95,48,49,35,47,16])). % 58.69/58.70 cnf(262,plain, % 58.69/58.70 (~E(f10(f11(a6,a9),f11(a6,a9)),a8)), % 58.69/58.70 inference(scs_inference,[],[168,226,120,220,145,63,95,48,49,35,47,16,18])). % 58.69/58.70 cnf(266,plain, % 58.69/58.70 (~P3(f10(a8,a8),f10(x2661,a6))), % 58.69/58.70 inference(scs_inference,[],[132,48])). % 58.69/58.70 cnf(272,plain, % 58.69/58.70 (~P3(a8,f3(a8))), % 58.69/58.70 inference(scs_inference,[],[177,132,48,35,49,50])). % 58.69/58.70 cnf(276,plain, % 58.69/58.70 (~E(f11(a9,a6),a8)), % 58.69/58.70 inference(scs_inference,[],[177,72,132,262,145,48,35,49,50,47,18])). % 58.69/58.70 cnf(289,plain, % 58.69/58.70 (~P3(f11(a9,a6),f11(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[109,260,276,48,49,35,50,47])). % 58.69/58.70 cnf(297,plain, % 58.69/58.70 (~P3(f11(x2971,x2972),f10(x2971,x2971))), % 58.69/58.70 inference(scs_inference,[],[266,74,48,35])). % 58.69/58.70 cnf(301,plain, % 58.69/58.70 (~P3(f11(x3011,x3012),x3011)), % 58.69/58.70 inference(scs_inference,[],[266,74,48,35,49,50])). % 58.69/58.70 cnf(305,plain, % 58.69/58.70 (~E(a6,f11(a8,x3051))), % 58.69/58.70 inference(scs_inference,[],[22,266,197,74,48,35,49,50,47,16])). % 58.69/58.70 cnf(319,plain, % 58.69/58.70 (~P3(f11(x3191,x3192),x3191)), % 58.69/58.70 inference(rename_variables,[],[301])). % 58.69/58.70 cnf(322,plain, % 58.69/58.70 (~P3(f11(x3221,x3222),x3221)), % 58.69/58.70 inference(rename_variables,[],[301])). % 58.69/58.70 cnf(328,plain, % 58.69/58.70 (~E(f11(x3281,f11(x3282,x3283)),x3282)), % 58.69/58.70 inference(scs_inference,[],[101,297,301,319,322,305,210,24,48,49,35,33,34,47,16,6])). % 58.69/58.70 cnf(361,plain, % 58.69/58.70 (~P3(f11(x3611,x3612),x3612)), % 58.69/58.70 inference(scs_inference,[],[272,77,48,49,35,50])). % 58.69/58.70 cnf(412,plain, % 58.69/58.70 (E(f10(a8,f11(a6,a9)),a1)), % 58.69/58.70 inference(scs_inference,[],[26,32,30])). % 58.69/58.70 cnf(413,plain, % 58.69/58.70 (~P3(x4131,f10(a8,f11(a6,a9)))), % 58.69/58.70 inference(scs_inference,[],[412,29])). % 58.69/58.70 cnf(422,plain, % 58.69/58.70 (~P3(f3(f11(a6,a9)),a8)), % 58.69/58.70 inference(scs_inference,[],[182,289,412,29,2,31,48,49,50])). % 58.69/58.70 cnf(458,plain, % 58.69/58.70 (~E(a6,f3(f11(a6,a9)))), % 58.69/58.70 inference(scs_inference,[],[22,413,173,239,422,328,48,49,17,42,47,16])). % 58.69/58.70 cnf(489,plain, % 58.69/58.70 (~P3(f11(x4891,x4892),f10(x4892,x4893))), % 58.69/58.70 inference(scs_inference,[],[361,48,49])). % 58.69/58.70 cnf(544,plain, % 58.69/58.70 (~E(f10(a1,a1),f10(a8,a8))), % 58.69/58.70 inference(scs_inference,[],[199,489,63,48,49,3])). % 58.69/58.70 cnf(880,plain, % 58.69/58.70 (E(f3(f11(a6,a9)),a9)), % 58.69/58.70 inference(scs_inference,[],[458,249,2])). % 58.69/58.70 cnf(881,plain, % 58.69/58.70 (E(a9,f3(f11(a6,a9)))), % 58.69/58.70 inference(scs_inference,[],[880,2])). % 58.69/58.70 cnf(1127,plain, % 58.69/58.70 (P1(f10(a2,a2))), % 58.69/58.70 inference(scs_inference,[],[21,63,15])). % 58.69/58.70 cnf(1606,plain, % 58.69/58.70 (~E(f3(a8),f3(f11(a6,a9)))), % 58.69/58.70 inference(scs_inference,[],[90,422,16])). % 58.69/58.70 cnf(1609,plain, % 58.69/58.70 (~E(f3(a8),a9)), % 58.69/58.70 inference(scs_inference,[],[1606,881,3])). % 58.69/58.70 cnf(1837,plain, % 58.69/58.70 (~P3(a6,f11(a6,a9))), % 58.69/58.70 inference(scs_inference,[],[22,413,25,39])). % 58.69/58.70 cnf(2017,plain, % 58.69/58.70 (P3(f5(x20171,a1,a8),a8)), % 58.69/58.70 inference(scs_inference,[],[56,22,46,17,47,41])). % 58.69/58.70 cnf(2190,plain, % 58.69/58.70 (E(f10(x21901,x21901),x21901)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(2194,plain, % 58.69/58.70 (E(f10(x21941,x21941),x21941)), % 58.69/58.70 inference(rename_variables,[],[23])). % 58.69/58.70 cnf(2196,plain, % 58.69/58.70 ($false), % 58.69/58.70 inference(scs_inference,[],[1609,82,1127,1837,2017,544,124,58,145,74,23,2190,2194,32,28,2,3,18,50,19,15,16]), % 58.69/58.70 ['proof']). % 58.69/58.70 % SZS output end Proof % 58.69/58.70 % Total time :58.010000s %------------------------------------------------------------------------------