%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET616+3 : TPTP v8.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n001.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 14:21:59 EDT 2024 % Result : Theorem 11.49s 11.56s % Output : CNFRefutation 11.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET616+3 : TPTP v8.2.0. Released v2.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n001.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Jun 23 17:07:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.57/0.60 start to proof:theBenchmark % 11.49/11.55 %------------------------------------------- % 11.49/11.55 % File :CSE---1.7 % 11.49/11.55 % Problem :theBenchmark % 11.49/11.55 % Transform :cnf % 11.49/11.55 % Format :tptp:raw % 11.49/11.55 % Command :java -jar mcs_scs.jar %d %s % 11.49/11.55 % 11.49/11.55 % Result :Theorem 10.920000s % 11.49/11.55 % Output :CNFRefutation 10.920000s % 11.49/11.55 %------------------------------------------- % 11.49/11.56 %-------------------------------------------------------------------------- % 11.49/11.56 % File : SET616+3 : TPTP v8.2.0. Released v2.2.0. % 11.49/11.56 % Domain : Set Theory % 11.49/11.56 % Problem : If X \ Y = Y \ X, then X = Y % 11.49/11.56 % Version : [Try90] axioms : Reduced > Incomplete. % 11.49/11.56 % English : If the difference of X and Y is the difference of Y and X, then % 11.49/11.56 % X is Y. % 11.49/11.56 % 11.49/11.56 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int % 11.49/11.56 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory % 11.49/11.56 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of % 11.49/11.56 % Source : [ILF] % 11.49/11.56 % Names : BOOLE (90) [TS89] % 11.49/11.56 % 11.49/11.56 % Status : Theorem % 11.49/11.56 % Rating : 0.19 v8.2.0, 0.17 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.22 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.26 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.00 v2.2.1 % 11.49/11.56 % Syntax : Number of formulae : 7 ( 1 unt; 0 def) % 11.49/11.56 % Number of atoms : 18 ( 5 equ) % 11.49/11.56 % Maximal formula atoms : 3 ( 2 avg) % 11.49/11.56 % Number of connectives : 12 ( 1 ~; 0 |; 2 &) % 11.49/11.56 % ( 6 <=>; 3 =>; 0 <=; 0 <~>) % 11.49/11.56 % Maximal formula depth : 7 ( 5 avg) % 11.49/11.56 % Maximal term depth : 2 ( 1 avg) % 11.49/11.56 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty) % 11.49/11.56 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty) % 11.49/11.56 % Number of variables : 17 ( 17 !; 0 ?) % 11.49/11.56 % SPC : FOF_THM_RFO_SEQ % 11.49/11.56 % 11.49/11.56 % Comments : % 11.49/11.56 %-------------------------------------------------------------------------- % 11.49/11.56 %---- line(tarski - th(2),1832736) % 11.49/11.56 fof(member_equal,axiom, % 11.49/11.56 ! [B,C] : % 11.49/11.56 ( ! [D] : % 11.49/11.56 ( member(D,B) % 11.49/11.56 <=> member(D,C) ) % 11.49/11.56 => B = C ) ). % 11.49/11.56 % 11.49/11.56 %---- line(boole - df(4),1833078) % 11.49/11.56 fof(difference_defn,axiom, % 11.49/11.56 ! [B,C,D] : % 11.49/11.56 ( member(D,difference(B,C)) % 11.49/11.56 <=> ( member(D,B) % 11.49/11.56 & ~ member(D,C) ) ) ). % 11.49/11.56 % 11.49/11.56 %---- line(boole - df(8),1833103) % 11.49/11.56 fof(equal_defn,axiom, % 11.49/11.56 ! [B,C] : % 11.49/11.56 ( B = C % 11.49/11.56 <=> ( subset(B,C) % 11.49/11.56 & subset(C,B) ) ) ). % 11.49/11.56 % 11.49/11.56 %---- line(hidden - axiom163,1832615) % 11.49/11.56 fof(equal_member_defn,axiom, % 11.49/11.56 ! [B,C] : % 11.49/11.56 ( B = C % 11.49/11.56 <=> ! [D] : % 11.49/11.56 ( member(D,B) % 11.49/11.56 <=> member(D,C) ) ) ). % 11.49/11.56 % 11.49/11.56 %---- line(tarski - df(3),1832749) % 11.49/11.56 fof(subset_defn,axiom, % 11.49/11.56 ! [B,C] : % 11.49/11.56 ( subset(B,C) % 11.49/11.56 <=> ! [D] : % 11.49/11.56 ( member(D,B) % 11.49/11.56 => member(D,C) ) ) ). % 11.49/11.56 % 11.49/11.56 %---- property(reflexivity,op(subset,2,predicate)) % 11.49/11.56 fof(reflexivity_of_subset,axiom, % 11.49/11.56 ! [B] : subset(B,B) ). % 11.49/11.56 % 11.49/11.56 %---- line(boole - th(90),1834200) % 11.49/11.56 fof(prove_th90,conjecture, % 11.49/11.56 ! [B,C] : % 11.49/11.56 ( difference(B,C) = difference(C,B) % 11.49/11.56 => B = C ) ). % 11.49/11.56 % 11.49/11.56 %-------------------------------------------------------------------------- % 11.49/11.56 %------------------------------------------- % 11.49/11.56 % Proof found % 11.49/11.56 % SZS status Theorem for theBenchmark % 11.49/11.56 % SZS output start Proof % 11.49/11.56 %ClaNum:31(EqnAxiom:15) % 11.49/11.56 %VarNum:77(SingletonVarNum:29) % 11.49/11.56 %MaxLitNum:3 % 11.49/11.56 %MaxfuncDepth:1 % 11.49/11.56 %SharedTerms:6 % 11.49/11.56 %goalClause: 17 18 % 11.49/11.56 %singleGoalClaCount:2 % 11.49/11.56 [18]~E(a1,a6) % 11.49/11.56 [17]E(f2(a1,a6),f2(a6,a1)) % 11.49/11.56 [16]P1(x161,x161) % 11.49/11.56 [20]~E(x201,x202)+P1(x201,x202) % 11.49/11.56 [22]P1(x221,x222)+P2(f3(x221,x222),x221) % 11.49/11.56 [26]P1(x261,x262)+~P2(f3(x261,x262),x262) % 11.49/11.56 [25]P2(x251,x252)+~P2(x251,f2(x252,x253)) % 11.49/11.56 [29]~P2(x291,x292)+~P2(x291,f2(x293,x292)) % 11.49/11.56 [21]~P1(x212,x211)+~P1(x211,x212)+E(x211,x212) % 11.49/11.56 [27]E(x271,x272)+P2(f4(x271,x272),x272)+P2(f4(x271,x272),x271) % 11.49/11.56 [28]E(x281,x282)+P2(f5(x281,x282),x282)+P2(f5(x281,x282),x281) % 11.49/11.56 [30]E(x301,x302)+~P2(f4(x301,x302),x302)+~P2(f4(x301,x302),x301) % 11.49/11.56 [31]E(x311,x312)+~P2(f5(x311,x312),x312)+~P2(f5(x311,x312),x311) % 11.49/11.56 [23]~P1(x233,x232)+P2(x231,x232)+~P2(x231,x233) % 11.49/11.56 [24]~P2(x241,x243)+P2(x241,x242)+P2(x241,f2(x243,x242)) % 11.49/11.56 %EqnAxiom % 11.49/11.56 [1]E(x11,x11) % 11.49/11.56 [2]E(x22,x21)+~E(x21,x22) % 11.49/11.56 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 11.49/11.56 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 11.49/11.56 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 11.49/11.56 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 11.49/11.56 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 11.49/11.56 [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83)) % 11.49/11.56 [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92)) % 11.49/11.56 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103)) % 11.49/11.56 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112)) % 11.49/11.56 [12]P1(x122,x123)+~E(x121,x122)+~P1(x121,x123) % 11.49/11.56 [13]P1(x133,x132)+~E(x131,x132)+~P1(x133,x131) % 11.49/11.56 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143) % 11.49/11.56 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151) % 11.49/11.56 % 11.49/11.56 %------------------------------------------- % 11.49/11.57 cnf(33,plain, % 11.49/11.57 (E(f2(a6,a1),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[17,2])). % 11.49/11.57 cnf(39,plain, % 11.49/11.57 (P1(x391,x392)+~P2(f3(x391,x392),f2(x392,x393))), % 11.49/11.57 inference(scs_inference,[],[25,26])). % 11.49/11.57 cnf(46,plain, % 11.49/11.57 (P1(f2(x461,x462),x461)), % 11.49/11.57 inference(scs_inference,[],[39,22])). % 11.49/11.57 cnf(47,plain, % 11.49/11.57 (P1(f2(f2(a6,a1),x471),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[33,46,13])). % 11.49/11.57 cnf(48,plain, % 11.49/11.57 (P1(f2(x481,x482),x481)), % 11.49/11.57 inference(rename_variables,[],[46])). % 11.49/11.57 cnf(49,plain, % 11.49/11.57 (P1(f2(a1,a6),a6)), % 11.49/11.57 inference(scs_inference,[],[33,46,48,13,12])). % 11.49/11.57 cnf(50,plain, % 11.49/11.57 (P1(f2(x501,x502),x501)), % 11.49/11.57 inference(rename_variables,[],[46])). % 11.49/11.57 cnf(53,plain, % 11.49/11.57 (E(x531,f2(x531,x532))+~P1(x531,f2(x531,x532))), % 11.49/11.57 inference(scs_inference,[],[33,46,48,50,13,12,21,2])). % 11.49/11.57 cnf(68,plain, % 11.49/11.57 (E(a6,f2(a1,a6))+~P1(a6,f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[18,49,21,3,53,2])). % 11.49/11.57 cnf(78,plain, % 11.49/11.57 (P1(x781,f2(a1,a6))+~E(f2(f2(a6,a1),x782),x781)), % 11.49/11.57 inference(scs_inference,[],[47,12])). % 11.49/11.57 cnf(84,plain, % 11.49/11.57 (P1(f2(f2(a1,a6),x841),f2(a6,a1))), % 11.49/11.57 inference(scs_inference,[],[17,46,13])). % 11.49/11.57 cnf(85,plain, % 11.49/11.57 (P1(f2(x851,x852),x851)), % 11.49/11.57 inference(rename_variables,[],[46])). % 11.49/11.57 cnf(86,plain, % 11.49/11.57 (P1(f2(a6,a1),a1)), % 11.49/11.57 inference(scs_inference,[],[17,46,85,13,12])). % 11.49/11.57 cnf(93,plain, % 11.49/11.57 (E(f2(a6,a1),a1)+~P1(a1,f2(a6,a1))), % 11.49/11.57 inference(scs_inference,[],[86,21])). % 11.49/11.57 cnf(95,plain, % 11.49/11.57 (E(f2(a1,a6),a1)+~P1(a1,f2(a6,a1))), % 11.49/11.57 inference(scs_inference,[],[17,86,21,3])). % 11.49/11.57 cnf(108,plain, % 11.49/11.57 (P1(x1081,f2(a6,a1))+~E(f2(f2(a1,a6),x1082),x1081)), % 11.49/11.57 inference(scs_inference,[],[84,12])). % 11.49/11.57 cnf(120,plain, % 11.49/11.57 (~E(f2(f2(a1,a6),x1201),a1)+E(f2(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[95,108])). % 11.49/11.57 cnf(130,plain, % 11.49/11.57 (~E(a1,f2(f2(a1,a6),x1301))+E(f2(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[120,2])). % 11.49/11.57 cnf(136,plain, % 11.49/11.57 (~E(x1361,f2(f2(a1,a6),x1362))+~E(a1,x1361)+E(f2(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[130,3])). % 11.49/11.57 cnf(175,plain, % 11.49/11.57 (P1(x1751,x1752)+P2(f3(x1751,x1752),x1753)+P2(f3(x1751,x1752),f2(x1751,x1753))), % 11.49/11.57 inference(scs_inference,[],[24,22])). % 11.49/11.57 cnf(200,plain, % 11.49/11.57 (P1(a6,x2001)+P2(f3(a6,x2001),a1)+P2(f3(a6,x2001),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[33,175,15])). % 11.49/11.57 cnf(202,plain, % 11.49/11.57 (P1(a6,a1)+P2(f3(a6,a1),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[200,26])). % 11.49/11.57 cnf(203,plain, % 11.49/11.57 (P2(f3(a6,a1),a1)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[202,25])). % 11.49/11.57 cnf(230,plain, % 11.49/11.57 (~P2(x2301,f2(a6,a1))+P2(x2301,f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[17,2,15])). % 11.49/11.57 cnf(263,plain, % 11.49/11.57 (~E(f2(f2(a1,a6),x2631),x2632)+~E(a1,x2632)+E(f2(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[2,136])). % 11.49/11.57 cnf(380,plain, % 11.49/11.57 (~E(x3801,a1)+~E(f2(f2(a1,a6),x3802),x3801)+E(f2(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[2,263])). % 11.49/11.57 cnf(381,plain, % 11.49/11.57 (E(f2(a6,a1),a1)+~E(f2(f2(a1,a6),x3811),x3812)+~E(x3812,a1)), % 11.49/11.57 inference(scs_inference,[],[33,380,3])). % 11.49/11.57 cnf(382,plain, % 11.49/11.57 (P1(f2(f2(a1,a6),x3821),a1)+~E(f2(f2(a1,a6),x3822),x3823)+~E(x3823,a1)), % 11.49/11.57 inference(scs_inference,[],[84,381,13])). % 11.49/11.57 cnf(383,plain, % 11.49/11.57 (~E(f2(f2(a6,a1),x3831),a1)+P1(f2(f2(a1,a6),x3832),a1)), % 11.49/11.57 inference(scs_inference,[],[17,382,4])). % 11.49/11.57 cnf(384,plain, % 11.49/11.57 (P1(x3841,a1)+~E(f2(f2(a1,a6),x3842),x3841)+~E(f2(f2(a6,a1),x3843),a1)), % 11.49/11.57 inference(scs_inference,[],[383,12])). % 11.49/11.57 cnf(385,plain, % 11.49/11.57 (P1(f2(f2(a6,a1),x3851),a1)+~E(f2(f2(a6,a1),x3852),a1)), % 11.49/11.57 inference(scs_inference,[],[17,384,4])). % 11.49/11.57 cnf(386,plain, % 11.49/11.57 (~P1(a1,f2(f2(a6,a1),x3861))+E(a1,f2(f2(a6,a1),x3861))+~E(f2(f2(a6,a1),x3862),a1)), % 11.49/11.57 inference(scs_inference,[],[385,21])). % 11.49/11.57 cnf(409,plain, % 11.49/11.57 (~P1(a6,a1)+~P1(a1,a6)), % 11.49/11.57 inference(scs_inference,[],[18,2,21])). % 11.49/11.57 cnf(410,plain, % 11.49/11.57 (P2(f3(a6,a1),a6)+~P1(a1,a6)), % 11.49/11.57 inference(scs_inference,[],[409,22])). % 11.49/11.57 cnf(557,plain, % 11.49/11.57 (E(a1,f2(a6,a1))+~E(f2(f2(a1,a6),x5571),x5572)+~E(x5572,a1)), % 11.49/11.57 inference(scs_inference,[],[2,381])). % 11.49/11.57 cnf(558,plain, % 11.49/11.57 (E(a1,f2(a6,a1))+~E(f2(f2(a6,a1),x5581),a1)), % 11.49/11.57 inference(scs_inference,[],[17,557,4])). % 11.49/11.57 cnf(682,plain, % 11.49/11.57 (~E(a1,f2(f2(a6,a1),x6821))+E(a1,f2(f2(a6,a1),x6822))+~P1(a1,f2(f2(a6,a1),x6822))), % 11.49/11.57 inference(scs_inference,[],[2,386])). % 11.49/11.57 cnf(684,plain, % 11.49/11.57 (E(f2(f2(a6,a1),x6841),a1)+~P1(a1,f2(f2(a6,a1),x6841))+~E(a1,f2(f2(a6,a1),x6842))), % 11.49/11.57 inference(scs_inference,[],[2,682])). % 11.49/11.57 cnf(686,plain, % 11.49/11.57 (~P2(x6861,f2(a1,a6))+P2(x6861,f2(a6,a1))), % 11.49/11.57 inference(scs_inference,[],[17,20,23])). % 11.49/11.57 cnf(875,plain, % 11.49/11.57 (~P1(a6,a1)+P2(f3(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[409,22])). % 11.49/11.57 cnf(876,plain, % 11.49/11.57 (~P2(f3(a6,a1),a1)+P2(f3(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[875,26])). % 11.49/11.57 cnf(877,plain, % 11.49/11.57 (~P2(f3(a6,a1),f2(a1,x8771))+P2(f3(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[876,25])). % 11.49/11.57 cnf(878,plain, % 11.49/11.57 (P2(f3(a1,a6),a1)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[877,202])). % 11.49/11.57 cnf(879,plain, % 11.49/11.57 (~P2(f3(a1,a6),f2(x8791,a1))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[878,29])). % 11.49/11.57 cnf(880,plain, % 11.49/11.57 (~P2(f3(a1,a6),f2(a1,a6))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[879,686])). % 11.49/11.57 cnf(883,plain, % 11.49/11.57 (~P1(a1,a6)+~P2(f3(a6,a1),a1)), % 11.49/11.57 inference(scs_inference,[],[409,26])). % 11.49/11.57 cnf(887,plain, % 11.49/11.57 (~P1(a6,a1)+~P2(f3(a1,a6),a6)), % 11.49/11.57 inference(scs_inference,[],[409,26])). % 11.49/11.57 cnf(888,plain, % 11.49/11.57 (P2(f3(a6,a1),a6)+~P2(f3(a1,a6),a6)), % 11.49/11.57 inference(scs_inference,[],[887,22])). % 11.49/11.57 cnf(950,plain, % 11.49/11.57 (~P1(a1,a6)+P2(f3(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[409,878])). % 11.49/11.57 cnf(951,plain, % 11.49/11.57 (P2(f3(a1,a6),a1)), % 11.49/11.57 inference(scs_inference,[],[950,22])). % 11.49/11.57 cnf(959,plain, % 11.49/11.57 (P1(a1,a6)+~E(a1,f2(a6,x9591))), % 11.49/11.57 inference(scs_inference,[],[951,15,39])). % 11.49/11.57 cnf(961,plain, % 11.49/11.57 (~E(a1,f2(a6,a1))+P2(f3(a1,a6),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[951,15,39,230])). % 11.49/11.57 cnf(980,plain, % 11.49/11.57 (P2(f3(a6,a1),a6)+~E(a1,f2(a6,x9801))), % 11.49/11.57 inference(scs_inference,[],[959,410])). % 11.49/11.57 cnf(985,plain, % 11.49/11.57 (~P2(f3(a6,a1),f2(x9851,a6))+~E(a1,f2(a6,x9852))), % 11.49/11.57 inference(scs_inference,[],[980,29])). % 11.49/11.57 cnf(987,plain, % 11.49/11.57 (~E(f2(a6,a1),a1)+P2(f3(a1,a6),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[961,2])). % 11.49/11.57 cnf(991,plain, % 11.49/11.57 (~E(a1,f2(a6,x9911))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[985,202])). % 11.49/11.57 cnf(992,plain, % 11.49/11.57 (~E(f2(f2(a6,a1),x9921),a1)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[991,558])). % 11.49/11.57 cnf(993,plain, % 11.49/11.57 (~E(a1,f2(f2(a6,a1),x9931))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[992,2])). % 11.49/11.57 cnf(994,plain, % 11.49/11.57 (~E(x9941,f2(f2(a6,a1),x9942))+~E(a1,x9941)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[993,3])). % 11.49/11.57 cnf(996,plain, % 11.49/11.57 (~P1(a1,f2(a6,a1))+P2(f3(a1,a6),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[987,93])). % 11.49/11.57 cnf(998,plain, % 11.49/11.57 (P2(f3(a1,a6),f2(a1,a6))+P2(f3(a1,f2(a6,a1)),a1)), % 11.49/11.57 inference(scs_inference,[],[996,22])). % 11.49/11.57 cnf(1004,plain, % 11.49/11.57 (P2(f3(a1,f2(a6,a1)),a1)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[998,880])). % 11.49/11.57 cnf(1005,plain, % 11.49/11.57 (~P2(f3(a1,f2(a6,a1)),f2(x10051,a1))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[1004,29])). % 11.49/11.57 cnf(1024,plain, % 11.49/11.57 (~E(a1,f2(f2(a1,a6),x10241))+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[17,994,4])). % 11.49/11.57 cnf(1025,plain, % 11.49/11.57 (~E(f2(f2(a1,a6),x10251),a1)+P1(a6,a1)), % 11.49/11.57 inference(scs_inference,[],[1024,2])). % 11.49/11.57 cnf(1043,plain, % 11.49/11.57 (~P1(a1,a6)+~P2(f3(a1,a6),f2(x10431,a1))), % 11.49/11.57 inference(scs_inference,[],[409,879])). % 11.49/11.57 cnf(1044,plain, % 11.49/11.57 (~P2(f3(a1,a6),f2(x10441,a1))+~P2(f3(a1,a6),a6)), % 11.49/11.57 inference(scs_inference,[],[1043,26])). % 11.49/11.57 cnf(1045,plain, % 11.49/11.57 (~P2(f3(a1,a6),f2(x10451,a1))+~P2(f3(a1,a6),f2(a6,x10452))), % 11.49/11.57 inference(scs_inference,[],[1044,25])). % 11.49/11.57 cnf(1046,plain, % 11.49/11.57 (~P2(f3(a1,a6),f2(a1,a6))), % 11.49/11.57 inference(scs_inference,[],[1045,686])). % 11.49/11.57 cnf(1057,plain, % 11.49/11.57 (P1(a1,a6)), % 11.49/11.57 inference(scs_inference,[],[951,47,1046,24,23,15,12,26])). % 11.49/11.57 cnf(1072,plain, % 11.49/11.57 (P2(f3(a6,a1),a1)), % 11.49/11.57 inference(scs_inference,[],[951,47,1046,24,23,15,12,26,887,888,991,1005,684,13,68,78,993,1024,1025,202,203])). % 11.49/11.57 cnf(1147,plain, % 11.49/11.57 ($false), % 11.49/11.57 inference(scs_inference,[],[1057,1072,883]), % 11.49/11.57 ['proof']). % 11.49/11.57 % SZS output end Proof % 11.49/11.57 % Total time :10.920000s %------------------------------------------------------------------------------