%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET906+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 : n025.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 14:22:56 EDT 2024 % Result : Theorem 0.56s 0.77s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SET906+1 : TPTP v8.2.0. Released v3.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n025.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 16:11:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.56/0.58 start to proof:theBenchmark % 0.56/0.77 %------------------------------------------- % 0.56/0.77 % File :CSE---1.7 % 0.56/0.77 % Problem :theBenchmark % 0.56/0.77 % Transform :cnf % 0.56/0.77 % Format :tptp:raw % 0.56/0.77 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.77 % 0.56/0.77 % Result :Theorem 0.150000s % 0.56/0.77 % Output :CNFRefutation 0.150000s % 0.56/0.77 %------------------------------------------- % 0.56/0.77 %------------------------------------------------------------------------------ % 0.56/0.77 % File : SET906+1 : TPTP v8.2.0. Released v3.2.0. % 0.56/0.77 % Domain : Set theory % 0.56/0.77 % Problem : subset(set_union2(unordered_pair(A,B),C),C) => in(A,C) % 0.56/0.77 % Version : [Urb06] axioms : Especial. % 0.56/0.77 % English : % 0.56/0.77 % 0.56/0.77 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.56/0.77 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.56/0.77 % Source : [Urb06] % 0.56/0.77 % Names : zfmisc_1__t47_zfmisc_1 [Urb06] % 0.56/0.77 % 0.56/0.77 % Status : Theorem % 0.56/0.77 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.35 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.14 v3.2.0 % 0.56/0.77 % Syntax : Number of formulae : 13 ( 6 unt; 0 def) % 0.56/0.77 % Number of atoms : 25 ( 7 equ) % 0.56/0.77 % Maximal formula atoms : 4 ( 1 avg) % 0.56/0.77 % Number of connectives : 18 ( 6 ~; 2 |; 0 &) % 0.56/0.77 % ( 5 <=>; 5 =>; 0 <=; 0 <~>) % 0.56/0.77 % Maximal formula depth : 8 ( 5 avg) % 0.56/0.77 % Maximal term depth : 3 ( 1 avg) % 0.56/0.77 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 0.56/0.77 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty) % 0.56/0.77 % Number of variables : 30 ( 28 !; 2 ?) % 0.56/0.77 % SPC : FOF_THM_RFO_SEQ % 0.56/0.77 % 0.56/0.77 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.77 % library, www.mizar.org % 0.56/0.77 %------------------------------------------------------------------------------ % 0.56/0.77 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.77 ! [A,B] : % 0.56/0.77 ( in(A,B) % 0.56/0.77 => ~ in(B,A) ) ). % 0.56/0.77 % 0.56/0.77 fof(commutativity_k2_tarski,axiom, % 0.56/0.77 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.56/0.77 % 0.56/0.77 fof(commutativity_k2_xboole_0,axiom, % 0.56/0.77 ! [A,B] : set_union2(A,B) = set_union2(B,A) ). % 0.56/0.77 % 0.56/0.77 fof(d2_tarski,axiom, % 0.56/0.77 ! [A,B,C] : % 0.56/0.77 ( C = unordered_pair(A,B) % 0.56/0.77 <=> ! [D] : % 0.56/0.77 ( in(D,C) % 0.56/0.77 <=> ( D = A % 0.56/0.77 | D = B ) ) ) ). % 0.56/0.77 % 0.56/0.77 fof(d2_xboole_0,axiom, % 0.56/0.77 ! [A,B,C] : % 0.56/0.77 ( C = set_union2(A,B) % 0.56/0.77 <=> ! [D] : % 0.56/0.77 ( in(D,C) % 0.56/0.77 <=> ( in(D,A) % 0.56/0.77 | in(D,B) ) ) ) ). % 0.56/0.77 % 0.56/0.77 fof(d3_tarski,axiom, % 0.56/0.77 ! [A,B] : % 0.56/0.77 ( subset(A,B) % 0.56/0.77 <=> ! [C] : % 0.56/0.77 ( in(C,A) % 0.56/0.77 => in(C,B) ) ) ). % 0.56/0.77 % 0.56/0.77 fof(fc2_xboole_0,axiom, % 0.56/0.77 ! [A,B] : % 0.56/0.77 ( ~ empty(A) % 0.56/0.77 => ~ empty(set_union2(A,B)) ) ). % 0.56/0.77 % 0.56/0.77 fof(fc3_xboole_0,axiom, % 0.56/0.77 ! [A,B] : % 0.56/0.77 ( ~ empty(A) % 0.56/0.77 => ~ empty(set_union2(B,A)) ) ). % 0.56/0.77 % 0.56/0.77 fof(idempotence_k2_xboole_0,axiom, % 0.56/0.77 ! [A,B] : set_union2(A,A) = A ). % 0.56/0.77 % 0.56/0.77 fof(rc1_xboole_0,axiom, % 0.56/0.77 ? [A] : empty(A) ). % 0.56/0.77 % 0.56/0.77 fof(rc2_xboole_0,axiom, % 0.56/0.77 ? [A] : ~ empty(A) ). % 0.56/0.77 % 0.56/0.77 fof(reflexivity_r1_tarski,axiom, % 0.56/0.77 ! [A,B] : subset(A,A) ). % 0.56/0.77 % 0.56/0.77 fof(t47_zfmisc_1,conjecture, % 0.56/0.77 ! [A,B,C] : % 0.56/0.77 ( subset(set_union2(unordered_pair(A,B),C),C) % 0.56/0.77 => in(A,C) ) ). % 0.56/0.77 % 0.56/0.77 %------------------------------------------------------------------------------ % 0.56/0.77 %------------------------------------------- % 0.56/0.77 % Proof found % 0.56/0.77 % SZS status Theorem for theBenchmark % 0.56/0.77 % SZS output start Proof % 0.56/0.78 %ClaNum:46(EqnAxiom:20) % 0.56/0.78 %VarNum:159(SingletonVarNum:61) % 0.56/0.78 %MaxLitNum:4 % 0.56/0.78 %MaxfuncDepth:2 % 0.56/0.78 %SharedTerms:11 % 0.56/0.78 %goalClause: 26 28 % 0.56/0.78 %singleGoalClaCount:2 % 0.56/0.78 [21]P1(a1) % 0.56/0.78 [27]~P1(a7) % 0.56/0.78 [28]~P3(a6,a9) % 0.56/0.78 [26]P2(f5(f10(a6,a8),a9),a9) % 0.56/0.78 [22]P2(x221,x221) % 0.56/0.78 [23]E(f5(x231,x231),x231) % 0.56/0.78 [24]E(f10(x241,x242),f10(x242,x241)) % 0.56/0.78 [25]E(f5(x251,x252),f5(x252,x251)) % 0.56/0.78 [31]~P3(x312,x311)+~P3(x311,x312) % 0.56/0.78 [33]P1(x331)+~P1(f5(x332,x331)) % 0.56/0.78 [34]P1(x341)+~P1(f5(x341,x342)) % 0.56/0.78 [35]P2(x351,x352)+P3(f2(x351,x352),x351) % 0.56/0.78 [40]P2(x401,x402)+~P3(f2(x401,x402),x402) % 0.56/0.78 [36]~P2(x363,x362)+P3(x361,x362)+~P3(x361,x363) % 0.56/0.78 [42]~E(f3(x422,x423,x421),x423)+~P3(f3(x422,x423,x421),x421)+E(x421,f10(x422,x423)) % 0.56/0.78 [43]~E(f3(x432,x433,x431),x432)+~P3(f3(x432,x433,x431),x431)+E(x431,f10(x432,x433)) % 0.56/0.78 [45]~P3(f4(x452,x453,x451),x451)+~P3(f4(x452,x453,x451),x453)+E(x451,f5(x452,x453)) % 0.56/0.78 [46]~P3(f4(x462,x463,x461),x461)+~P3(f4(x462,x463,x461),x462)+E(x461,f5(x462,x463)) % 0.56/0.78 [29]P3(x291,x292)+~E(x291,x293)+~E(x292,f10(x294,x293)) % 0.56/0.78 [30]P3(x301,x302)+~E(x301,x303)+~E(x302,f10(x303,x304)) % 0.56/0.78 [37]~P3(x371,x374)+P3(x371,x372)+~E(x372,f5(x373,x374)) % 0.56/0.78 [38]~P3(x381,x383)+P3(x381,x382)+~E(x382,f5(x383,x384)) % 0.56/0.78 [41]E(f3(x412,x413,x411),x413)+E(f3(x412,x413,x411),x412)+P3(f3(x412,x413,x411),x411)+E(x411,f10(x412,x413)) % 0.56/0.78 [44]P3(f4(x442,x443,x441),x441)+P3(f4(x442,x443,x441),x443)+P3(f4(x442,x443,x441),x442)+E(x441,f5(x442,x443)) % 0.56/0.78 [32]~P3(x321,x324)+E(x321,x322)+E(x321,x323)+~E(x324,f10(x323,x322)) % 0.56/0.78 [39]~P3(x391,x394)+P3(x391,x392)+P3(x391,x393)+~E(x394,f5(x393,x392)) % 0.56/0.78 %EqnAxiom % 0.56/0.78 [1]E(x11,x11) % 0.56/0.78 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.78 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43)) % 0.56/0.78 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52)) % 0.56/0.78 [6]~E(x61,x62)+E(f10(x61,x63),f10(x62,x63)) % 0.56/0.78 [7]~E(x71,x72)+E(f10(x73,x71),f10(x73,x72)) % 0.56/0.78 [8]~E(x81,x82)+E(f3(x81,x83,x84),f3(x82,x83,x84)) % 0.56/0.78 [9]~E(x91,x92)+E(f3(x93,x91,x94),f3(x93,x92,x94)) % 0.56/0.78 [10]~E(x101,x102)+E(f3(x103,x104,x101),f3(x103,x104,x102)) % 0.56/0.78 [11]~E(x111,x112)+E(f4(x111,x113,x114),f4(x112,x113,x114)) % 0.56/0.78 [12]~E(x121,x122)+E(f4(x123,x121,x124),f4(x123,x122,x124)) % 0.56/0.78 [13]~E(x131,x132)+E(f4(x133,x134,x131),f4(x133,x134,x132)) % 0.56/0.78 [14]~E(x141,x142)+E(f2(x141,x143),f2(x142,x143)) % 0.56/0.78 [15]~E(x151,x152)+E(f2(x153,x151),f2(x153,x152)) % 0.56/0.78 [16]~P1(x161)+P1(x162)+~E(x161,x162) % 0.56/0.78 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173) % 0.56/0.78 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181) % 0.56/0.78 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193) % 0.56/0.78 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201) % 0.56/0.78 % 0.56/0.78 %------------------------------------------- % 0.56/0.78 cnf(47,plain, % 0.56/0.78 (~P3(x471,f10(x472,x473))+E(x471,x473)+E(x471,x472)), % 0.56/0.78 inference(equality_inference,[],[32])). % 0.56/0.78 cnf(48,plain, % 0.56/0.78 (~P3(x481,x482)+P3(x481,f5(x483,x482))), % 0.56/0.78 inference(equality_inference,[],[37])). % 0.56/0.78 cnf(49,plain, % 0.56/0.78 (~P3(x491,x492)+P3(x491,f5(x492,x493))), % 0.56/0.78 inference(equality_inference,[],[38])). % 0.56/0.78 cnf(50,plain, % 0.56/0.78 (~P3(x501,f5(x502,x503))+P3(x501,x503)+P3(x501,x502)), % 0.56/0.78 inference(equality_inference,[],[39])). % 0.56/0.78 cnf(51,plain, % 0.56/0.78 (E(x511,f5(x511,x511))), % 0.56/0.78 inference(scs_inference,[],[23,2])). % 0.56/0.78 cnf(52,plain, % 0.56/0.78 (P3(f5(x521,x521),f10(x521,x522))), % 0.56/0.78 inference(scs_inference,[],[23,24,2,29])). % 0.56/0.78 cnf(53,plain, % 0.56/0.78 (E(f10(x531,x532),f10(x532,x531))), % 0.56/0.78 inference(rename_variables,[],[24])). % 0.56/0.78 cnf(55,plain, % 0.56/0.78 (P3(f5(x551,x551),f10(x552,x551))), % 0.56/0.78 inference(scs_inference,[],[23,24,53,2,29,30])). % 0.56/0.78 cnf(56,plain, % 0.56/0.78 (E(f10(x561,x562),f10(x562,x561))), % 0.56/0.78 inference(rename_variables,[],[24])). % 0.56/0.78 cnf(58,plain, % 0.56/0.78 (P3(f5(x581,x581),f5(f10(x581,x582),x583))), % 0.56/0.78 inference(scs_inference,[],[23,24,53,25,2,29,30,37])). % 0.56/0.78 cnf(59,plain, % 0.56/0.78 (E(f5(x591,x592),f5(x592,x591))), % 0.56/0.78 inference(rename_variables,[],[25])). % 0.56/0.78 cnf(61,plain, % 0.56/0.78 (P3(f5(x611,x611),f5(x612,f10(x611,x613)))), % 0.56/0.78 inference(scs_inference,[],[23,24,53,25,59,2,29,30,37,38])). % 0.56/0.78 cnf(62,plain, % 0.56/0.78 (E(f5(x621,x622),f5(x622,x621))), % 0.56/0.78 inference(rename_variables,[],[25])). % 0.56/0.78 cnf(64,plain, % 0.56/0.78 (~P3(a6,f5(a9,a9))), % 0.56/0.78 inference(scs_inference,[],[28,23,24,53,25,59,2,29,30,37,38,50])). % 0.56/0.78 cnf(69,plain, % 0.56/0.78 (P3(a9,f10(a9,x691))), % 0.56/0.78 inference(scs_inference,[],[26,28,23,24,53,25,59,62,2,29,30,37,38,50,17,18,19])). % 0.56/0.78 cnf(70,plain, % 0.56/0.78 (E(f5(x701,x701),x701)), % 0.56/0.78 inference(rename_variables,[],[23])). % 0.56/0.78 cnf(71,plain, % 0.56/0.78 (P3(a9,f10(x711,a9))), % 0.56/0.78 inference(scs_inference,[],[26,28,23,24,53,56,25,59,62,2,29,30,37,38,50,17,18,19,20])). % 0.56/0.78 cnf(74,plain, % 0.56/0.78 (E(f5(x741,x741),x741)), % 0.56/0.78 inference(rename_variables,[],[23])). % 0.56/0.78 cnf(82,plain, % 0.56/0.78 (~P3(f10(a9,x821),f5(a9,a9))), % 0.56/0.78 inference(scs_inference,[],[26,28,23,70,74,24,53,56,25,59,62,27,2,29,30,37,38,50,17,18,19,20,16,39,48,49,31])). % 0.56/0.78 cnf(84,plain, % 0.56/0.78 (~P3(f10(x841,x842),f5(x841,x841))), % 0.56/0.78 inference(scs_inference,[],[52,31])). % 0.56/0.78 cnf(86,plain, % 0.56/0.78 (P3(f5(x861,x861),f5(f10(x862,x861),x863))), % 0.56/0.78 inference(scs_inference,[],[52,55,31,49])). % 0.56/0.78 cnf(88,plain, % 0.56/0.78 (P3(f5(x881,x881),f5(x882,f10(x883,x881)))), % 0.56/0.78 inference(scs_inference,[],[52,55,31,49,48])). % 0.56/0.78 cnf(90,plain, % 0.56/0.78 (P3(f5(a6,a6),a9)), % 0.56/0.78 inference(scs_inference,[],[26,52,55,58,31,49,48,36])). % 0.56/0.78 cnf(93,plain, % 0.56/0.78 (E(f10(x931,x932),f5(f10(x932,x931),f10(x932,x931)))), % 0.56/0.78 inference(scs_inference,[],[26,52,55,58,51,24,31,49,48,36,3])). % 0.56/0.78 cnf(94,plain, % 0.56/0.78 (E(x941,f5(x941,x941))), % 0.56/0.78 inference(rename_variables,[],[51])). % 0.56/0.78 cnf(97,plain, % 0.56/0.78 (P3(x971,f10(f5(x971,x971),x972))), % 0.56/0.78 inference(scs_inference,[],[26,52,55,58,51,94,82,24,31,49,48,36,3,50,29])). % 0.56/0.78 cnf(98,plain, % 0.56/0.78 (E(f10(x981,x982),f10(x982,x981))), % 0.56/0.78 inference(rename_variables,[],[24])). % 0.56/0.78 cnf(101,plain, % 0.56/0.78 (E(x1011,f5(x1011,x1011))), % 0.56/0.78 inference(rename_variables,[],[51])). % 0.56/0.78 cnf(102,plain, % 0.56/0.78 (P2(x1021,f5(x1021,x1021))), % 0.56/0.78 inference(scs_inference,[],[26,22,52,55,58,69,51,94,101,82,24,31,49,48,36,3,50,29,20,18])). % 0.56/0.78 cnf(103,plain, % 0.56/0.78 (P2(x1031,x1031)), % 0.56/0.78 inference(rename_variables,[],[22])). % 0.56/0.78 cnf(104,plain, % 0.56/0.78 (P2(f5(x1041,x1041),x1041)), % 0.56/0.78 inference(scs_inference,[],[26,22,103,52,55,58,69,51,94,101,82,24,31,49,48,36,3,50,29,20,18,17])). % 0.56/0.78 cnf(109,plain, % 0.56/0.78 (P1(f5(a1,a1))), % 0.56/0.78 inference(scs_inference,[],[26,22,103,52,55,58,69,51,94,101,82,24,98,21,31,49,48,36,3,50,29,20,18,17,30,16])). % 0.56/0.78 cnf(110,plain, % 0.56/0.78 (E(x1101,f5(x1101,x1101))), % 0.56/0.78 inference(rename_variables,[],[51])). % 0.56/0.78 cnf(111,plain, % 0.56/0.78 (P3(f5(f5(x1111,x1111),f5(x1111,x1111)),f10(x1111,x1112))), % 0.56/0.78 inference(scs_inference,[],[26,22,103,52,55,58,69,51,94,101,110,82,24,98,21,31,49,48,36,3,50,29,20,18,17,30,16,19])). % 0.56/0.78 cnf(113,plain, % 0.56/0.78 (P3(f5(f5(x1131,x1131),f5(x1131,x1131)),f5(f10(x1131,x1132),x1133))), % 0.56/0.78 inference(scs_inference,[],[111,49])). % 0.56/0.78 cnf(118,plain, % 0.56/0.78 (P3(f5(f5(x1181,x1181),f5(x1181,x1181)),f5(x1182,f10(x1181,x1183)))), % 0.56/0.78 inference(scs_inference,[],[111,93,49,31,2,48])). % 0.56/0.78 cnf(120,plain, % 0.56/0.78 (P3(f5(f5(x1201,x1201),f5(x1201,x1201)),f10(x1202,x1201))), % 0.56/0.78 inference(scs_inference,[],[111,93,49,31,2,48,38])). % 0.56/0.78 cnf(121,plain, % 0.56/0.78 (E(f10(x1211,x1212),f5(f10(x1212,x1211),f10(x1212,x1211)))), % 0.56/0.78 inference(rename_variables,[],[93])). % 0.56/0.78 cnf(123,plain, % 0.56/0.78 (~E(f10(f10(x1231,x1232),x1233),x1232)), % 0.56/0.78 inference(scs_inference,[],[111,23,84,93,49,31,2,48,38,29])). % 0.56/0.78 cnf(124,plain, % 0.56/0.78 (E(f5(x1241,x1241),x1241)), % 0.56/0.78 inference(rename_variables,[],[23])). % 0.56/0.78 cnf(125,plain, % 0.56/0.78 (~P3(f10(x1251,x1252),f5(x1251,x1251))), % 0.56/0.78 inference(rename_variables,[],[84])). % 0.56/0.78 cnf(127,plain, % 0.56/0.78 (P3(f5(a8,a8),a9)), % 0.56/0.78 inference(scs_inference,[],[26,111,86,23,84,93,49,31,2,48,38,29,36])). % 0.56/0.78 cnf(131,plain, % 0.56/0.78 (E(f5(x1311,x1311),x1311)), % 0.56/0.78 inference(rename_variables,[],[23])). % 0.56/0.78 cnf(132,plain, % 0.56/0.78 (~E(f10(f10(x1321,x1322),x1323),x1321)), % 0.56/0.78 inference(scs_inference,[],[26,111,86,23,124,131,84,125,93,49,31,2,48,38,29,36,3,30])). % 0.56/0.78 cnf(134,plain, % 0.56/0.78 (~P3(f10(x1341,x1342),f5(x1341,x1341))), % 0.56/0.78 inference(rename_variables,[],[84])). % 0.56/0.78 cnf(137,plain, % 0.56/0.78 (P3(f5(f5(x1371,x1371),f5(x1371,x1371)),f10(x1371,x1372))), % 0.56/0.78 inference(rename_variables,[],[111])). % 0.56/0.78 cnf(138,plain, % 0.56/0.78 (P2(f5(x1381,x1382),f5(f5(x1382,x1381),f5(x1382,x1381)))), % 0.56/0.78 inference(scs_inference,[],[26,102,111,86,25,23,124,131,84,125,93,121,49,31,2,48,38,29,36,3,30,20,17])). % 0.56/0.78 cnf(144,plain, % 0.56/0.78 (~E(f5(x1441,x1441),f10(f10(x1441,x1442),x1443))), % 0.56/0.78 inference(scs_inference,[],[26,102,104,111,61,86,25,23,124,131,84,125,134,93,121,51,109,49,31,2,48,38,29,36,3,30,20,17,18,16,19])). % 0.56/0.78 cnf(147,plain, % 0.56/0.78 (E(f5(f5(x1471,x1471),f5(x1471,x1471)),x1471)), % 0.56/0.78 inference(scs_inference,[],[26,102,104,111,137,61,86,25,23,124,131,84,125,134,93,121,51,24,109,49,31,2,48,38,29,36,3,30,20,17,18,16,19,32])). % 0.56/0.78 cnf(159,plain, % 0.56/0.78 (P3(f5(f5(x1591,x1591),f5(x1591,x1591)),f5(f10(x1592,x1591),x1593))), % 0.56/0.78 inference(scs_inference,[],[120,31,49])). % 0.56/0.78 cnf(168,plain, % 0.56/0.78 (P3(f5(f5(a6,a6),f5(a6,a6)),a9)), % 0.56/0.78 inference(scs_inference,[],[26,120,113,123,147,31,49,2,48,47,50,36])). % 0.56/0.78 cnf(173,plain, % 0.56/0.78 (~E(f10(f5(a6,a6),x1731),a9)), % 0.56/0.78 inference(scs_inference,[],[26,28,120,113,97,144,123,147,24,31,49,2,48,47,50,36,3,20])). % 0.56/0.78 cnf(205,plain, % 0.56/0.78 (E(f5(x2051,x2051),x2051)), % 0.56/0.78 inference(rename_variables,[],[23])). % 0.56/0.78 cnf(206,plain, % 0.56/0.78 (P2(x2061,f5(f5(x2061,x2061),f5(x2061,x2061)))), % 0.56/0.78 inference(scs_inference,[],[26,132,138,118,159,168,23,205,49,31,48,47,50,36,3,17])). % 0.56/0.78 cnf(262,plain, % 0.56/0.78 (P3(f5(a6,a6),f5(a9,a9))), % 0.56/0.78 inference(scs_inference,[],[88,71,90,102,49,31,48,36])). % 0.56/0.78 cnf(296,plain, % 0.56/0.78 ($false), % 0.56/0.78 inference(scs_inference,[],[206,64,262,173,127,23,51,31,49,48,47,36,50,20,19]), % 0.56/0.78 ['proof']). % 0.56/0.78 % SZS output end Proof % 0.56/0.78 % Total time :0.150000s %------------------------------------------------------------------------------