%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET941+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 : 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 14:23:03 EDT 2024 % Result : Theorem 116.24s 116.27s % Output : CNFRefutation 116.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SET941+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 % 0.12/0.33 % Computer : n019.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 11:41:53 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 116.15/116.26 %------------------------------------------- % 116.15/116.26 % File :CSE---1.7 % 116.15/116.26 % Problem :theBenchmark % 116.15/116.26 % Transform :cnf % 116.15/116.26 % Format :tptp:raw % 116.15/116.26 % Command :java -jar mcs_scs.jar %d %s % 116.15/116.26 % 116.15/116.26 % Result :Theorem 115.650000s % 116.15/116.26 % Output :CNFRefutation 115.650000s % 116.15/116.26 %------------------------------------------- % 116.24/116.26 %------------------------------------------------------------------------------ % 116.24/116.26 % File : SET941+1 : TPTP v8.2.0. Released v3.2.0. % 116.24/116.26 % Domain : Set theory % 116.24/116.26 % Problem : ( in(C,A) => subset(C,B) ) => subset(union(A),B) % 116.24/116.26 % Version : [Urb06] axioms : Especial. % 116.24/116.26 % English : % 116.24/116.26 % 116.24/116.26 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 116.24/116.26 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 116.24/116.26 % Source : [Urb06] % 116.24/116.26 % Names : zfmisc_1__t94_zfmisc_1 [Urb06] % 116.24/116.26 % 116.24/116.26 % Status : Theorem % 116.24/116.26 % Rating : 0.19 v8.2.0, 0.22 v8.1.0, 0.25 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.37 v6.0.0, 0.39 v5.5.0, 0.30 v5.4.0, 0.29 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.33 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.2.0 % 116.24/116.26 % Syntax : Number of formulae : 7 ( 3 unt; 0 def) % 116.24/116.27 % Number of atoms : 15 ( 1 equ) % 116.24/116.27 % Maximal formula atoms : 4 ( 2 avg) % 116.24/116.27 % Number of connectives : 10 ( 2 ~; 0 |; 1 &) % 116.24/116.27 % ( 3 <=>; 4 =>; 0 <=; 0 <~>) % 116.24/116.27 % Maximal formula depth : 8 ( 5 avg) % 116.24/116.27 % Maximal term depth : 2 ( 1 avg) % 116.24/116.27 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 116.24/116.27 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 116.24/116.27 % Number of variables : 16 ( 13 !; 3 ?) % 116.24/116.27 % SPC : FOF_THM_RFO_SEQ % 116.24/116.27 % 116.24/116.27 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 116.24/116.27 % library, www.mizar.org % 116.24/116.27 %------------------------------------------------------------------------------ % 116.24/116.27 fof(antisymmetry_r2_hidden,axiom, % 116.24/116.27 ! [A,B] : % 116.24/116.27 ( in(A,B) % 116.24/116.27 => ~ in(B,A) ) ). % 116.24/116.27 % 116.24/116.27 fof(d3_tarski,axiom, % 116.24/116.27 ! [A,B] : % 116.24/116.27 ( subset(A,B) % 116.24/116.27 <=> ! [C] : % 116.24/116.27 ( in(C,A) % 116.24/116.27 => in(C,B) ) ) ). % 116.24/116.27 % 116.24/116.27 fof(d4_tarski,axiom, % 116.24/116.27 ! [A,B] : % 116.24/116.27 ( B = union(A) % 116.24/116.27 <=> ! [C] : % 116.24/116.27 ( in(C,B) % 116.24/116.27 <=> ? [D] : % 116.24/116.27 ( in(C,D) % 116.24/116.27 & in(D,A) ) ) ) ). % 116.24/116.27 % 116.24/116.27 fof(rc1_xboole_0,axiom, % 116.24/116.27 ? [A] : empty(A) ). % 116.24/116.27 % 116.24/116.27 fof(rc2_xboole_0,axiom, % 116.24/116.27 ? [A] : ~ empty(A) ). % 116.24/116.27 % 116.24/116.27 fof(reflexivity_r1_tarski,axiom, % 116.24/116.27 ! [A,B] : subset(A,A) ). % 116.24/116.27 % 116.24/116.27 fof(t94_zfmisc_1,conjecture, % 116.24/116.27 ! [A,B] : % 116.24/116.27 ( ! [C] : % 116.24/116.27 ( in(C,A) % 116.24/116.27 => subset(C,B) ) % 116.24/116.27 => subset(union(A),B) ) ). % 116.24/116.27 % 116.24/116.27 %------------------------------------------------------------------------------ % 116.24/116.27 %------------------------------------------- % 116.24/116.27 % Proof found % 116.24/116.27 % SZS status Theorem for theBenchmark % 116.24/116.27 % SZS output start Proof % 116.24/116.27 %ClaNum:33(EqnAxiom:18) % 116.24/116.27 %VarNum:75(SingletonVarNum:28) % 116.24/116.27 %MaxLitNum:4 % 116.24/116.27 %MaxfuncDepth:1 % 116.24/116.27 %SharedTerms:8 % 116.24/116.27 %goalClause: 22 23 % 116.24/116.27 %singleGoalClaCount:1 % 116.24/116.27 [19]P1(a1) % 116.24/116.27 [21]~P1(a6) % 116.24/116.27 [22]~P2(f8(a7),a9) % 116.24/116.27 [20]P2(x201,x201) % 116.24/116.27 [23]~P3(x231,a7)+P2(x231,a9) % 116.24/116.27 [24]~P3(x242,x241)+~P3(x241,x242) % 116.24/116.27 [25]P2(x251,x252)+P3(f2(x251,x252),x251) % 116.24/116.27 [28]P2(x281,x282)+~P3(f2(x281,x282),x282) % 116.24/116.27 [29]P3(f3(x292,x291),x291)+P3(f5(x292,x291),x292)+E(x291,f8(x292)) % 116.24/116.27 [30]P3(f3(x302,x301),x301)+P3(f3(x302,x301),f5(x302,x301))+E(x301,f8(x302)) % 116.24/116.27 [26]~P2(x263,x262)+P3(x261,x262)+~P3(x261,x263) % 116.24/116.27 [31]~P3(x311,x313)+~E(x313,f8(x312))+P3(x311,f4(x312,x313,x311)) % 116.24/116.27 [32]~P3(x323,x322)+~E(x322,f8(x321))+P3(f4(x321,x322,x323),x321) % 116.24/116.27 [33]~P3(x333,x332)+~P3(f3(x332,x331),x333)+~P3(f3(x332,x331),x331)+E(x331,f8(x332)) % 116.24/116.27 [27]~P3(x271,x274)+P3(x271,x272)+~P3(x274,x273)+~E(x272,f8(x273)) % 116.24/116.27 %EqnAxiom % 116.24/116.27 [1]E(x11,x11) % 116.24/116.27 [2]E(x22,x21)+~E(x21,x22) % 116.24/116.27 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 116.24/116.27 [4]~E(x41,x42)+E(f8(x41),f8(x42)) % 116.24/116.27 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53)) % 116.24/116.27 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62)) % 116.24/116.27 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73)) % 116.24/116.27 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82)) % 116.24/116.27 [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94)) % 116.24/116.27 [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104)) % 116.24/116.27 [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112)) % 116.24/116.27 [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123)) % 116.24/116.27 [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132)) % 116.24/116.27 [14]~P1(x141)+P1(x142)+~E(x141,x142) % 116.24/116.27 [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153) % 116.24/116.27 [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161) % 116.24/116.27 [17]P3(x172,x173)+~E(x171,x172)+~P3(x171,x173) % 116.24/116.27 [18]P3(x183,x182)+~E(x181,x182)+~P3(x183,x181) % 116.24/116.27 % 116.24/116.27 %------------------------------------------- % 116.24/116.28 cnf(35,plain, % 116.24/116.28 (~P3(x351,f8(x352))+P3(x351,f4(x352,f8(x352),x351))), % 116.24/116.28 inference(equality_inference,[],[31])). % 116.24/116.28 cnf(36,plain, % 116.24/116.28 (~P3(x361,f8(x362))+P3(f4(x362,f8(x362),x361),x362)), % 116.24/116.28 inference(equality_inference,[],[32])). % 116.24/116.28 cnf(39,plain, % 116.24/116.28 (~E(a9,f8(a7))), % 116.24/116.28 inference(scs_inference,[],[22,20,23,15])). % 116.24/116.28 cnf(80,plain, % 116.24/116.28 (~E(x801,f8(a7))+P3(f2(x801,a9),x801)), % 116.24/116.28 inference(scs_inference,[],[22,25,15])). % 116.24/116.28 cnf(81,plain, % 116.24/116.28 (P3(f2(f8(a7),a9),f8(a7))), % 116.24/116.28 inference(equality_inference,[],[80])). % 116.24/116.28 cnf(109,plain, % 116.24/116.28 (~E(x1091,a9)+~P3(f2(f8(a7),x1091),x1091)), % 116.24/116.28 inference(scs_inference,[],[22,28,16])). % 116.24/116.28 cnf(110,plain, % 116.24/116.28 (~P3(f2(f8(a7),a9),a9)), % 116.24/116.28 inference(equality_inference,[],[109])). % 116.24/116.28 cnf(242,plain, % 116.24/116.28 (P2(f4(a7,f8(a7),f2(f8(a7),a9)),a9)), % 116.24/116.28 inference(scs_inference,[],[81,36,23])). % 116.24/116.28 cnf(419,plain, % 116.24/116.28 (P3(f2(f8(a7),a9),f4(a7,f8(a7),f2(f8(a7),a9)))), % 116.24/116.28 inference(scs_inference,[],[81,20,26,35])). % 116.24/116.28 cnf(625,plain, % 116.24/116.28 (~E(f8(x6251),f8(a7))+P3(f4(x6251,f8(a7),f2(f8(a7),a9)),x6251)), % 116.24/116.28 inference(scs_inference,[],[81,2,32])). % 116.24/116.28 cnf(626,plain, % 116.24/116.28 (P3(f4(a7,f8(a7),f2(f8(a7),a9)),a7)), % 116.24/116.28 inference(equality_inference,[],[625])). % 116.24/116.28 cnf(1063,plain, % 116.24/116.28 (P2(f5(a7,a9),a9)+P3(f3(a7,a9),a9)), % 116.24/116.28 inference(scs_inference,[],[39,23,29])). % 116.24/116.28 cnf(7156,plain, % 116.24/116.28 (~P3(x71561,a9)+~E(x71561,f2(f8(a7),a9))), % 116.24/116.28 inference(scs_inference,[],[110,17])). % 116.24/116.28 cnf(18667,plain, % 116.24/116.28 (P3(f3(a7,a9),a9)+~P3(x186671,f5(a7,a9))+P3(x186671,a9)), % 116.24/116.28 inference(scs_inference,[],[1063,26])). % 116.24/116.28 cnf(18668,plain, % 116.24/116.28 (P3(f3(a7,a9),a9)), % 116.24/116.28 inference(scs_inference,[],[39,18667,30])). % 116.24/116.28 cnf(18674,plain, % 116.24/116.28 (~P3(a9,a7)), % 116.24/116.28 inference(scs_inference,[],[18668,39,24,33])). % 116.24/116.28 cnf(18682,plain, % 116.24/116.28 (~P3(x186821,a7)+~E(x186821,a9)), % 116.24/116.28 inference(scs_inference,[],[18674,17])). % 116.24/116.28 cnf(18735,plain, % 116.24/116.28 (~E(a9,x187351)+~P3(x187351,a7)), % 116.24/116.28 inference(scs_inference,[],[18682,2])). % 116.24/116.28 cnf(19073,plain, % 116.24/116.28 ($false), % 116.24/116.28 inference(scs_inference,[],[626,242,419,110,18668,18682,18735,7156,26]), % 116.24/116.28 ['proof']). % 116.24/116.28 % SZS output end Proof % 116.24/116.28 % Total time :115.650000s %------------------------------------------------------------------------------