%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU130+1 : TPTP v8.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/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 15:01:12 EDT 2024 % Result : Theorem 0.57s 0.65s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU130+1 : TPTP v8.2.0. Released v3.3.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n001.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Jun 21 16:22:39 EDT 2024 % 0.13/0.33 % CPUTime : % 0.55/0.58 start to proof:theBenchmark % 0.57/0.64 %------------------------------------------- % 0.57/0.64 % File :CSE---1.7 % 0.57/0.64 % Problem :theBenchmark % 0.57/0.64 % Transform :cnf % 0.57/0.64 % Format :tptp:raw % 0.57/0.64 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.64 % 0.57/0.64 % Result :Theorem 0.020000s % 0.57/0.64 % Output :CNFRefutation 0.020000s % 0.57/0.64 %------------------------------------------- % 0.57/0.64 %------------------------------------------------------------------------------ % 0.57/0.64 % File : SEU130+1 : TPTP v8.2.0. Released v3.3.0. % 0.57/0.64 % Domain : Set theory % 0.57/0.64 % Problem : MPTP bushy problem t28_xboole_1 % 0.57/0.64 % Version : [Urb07] axioms : Especial. % 0.57/0.65 % English : % 0.57/0.65 % 0.57/0.65 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.57/0.65 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.57/0.65 % Source : [Urb07] % 0.57/0.65 % Names : bushy-t28_xboole_1 [Urb07] % 0.57/0.65 % 0.57/0.65 % Status : Theorem % 0.57/0.65 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0 % 0.57/0.65 % Syntax : Number of formulae : 18 ( 10 unt; 0 def) % 0.57/0.65 % Number of atoms : 31 ( 8 equ) % 0.57/0.65 % Maximal formula atoms : 4 ( 1 avg) % 0.57/0.65 % Number of connectives : 18 ( 5 ~; 0 |; 5 &) % 0.57/0.65 % ( 4 <=>; 4 =>; 0 <=; 0 <~>) % 0.57/0.65 % Maximal formula depth : 8 ( 4 avg) % 0.57/0.65 % Maximal term depth : 2 ( 1 avg) % 0.57/0.65 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.57/0.65 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 0.57/0.65 % Number of variables : 29 ( 27 !; 2 ?) % 0.57/0.65 % SPC : FOF_THM_RFO_SEQ % 0.57/0.65 % 0.57/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.57/0.65 % library, www.mizar.org % 0.57/0.65 %------------------------------------------------------------------------------ % 0.57/0.65 fof(antisymmetry_r2_hidden,axiom, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ( in(A,B) % 0.57/0.65 => ~ in(B,A) ) ). % 0.57/0.65 % 0.57/0.65 fof(commutativity_k3_xboole_0,axiom, % 0.57/0.65 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.57/0.65 % 0.57/0.65 fof(d10_xboole_0,axiom, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ( A = B % 0.57/0.65 <=> ( subset(A,B) % 0.57/0.65 & subset(B,A) ) ) ). % 0.57/0.65 % 0.57/0.65 fof(d3_tarski,axiom, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ( subset(A,B) % 0.57/0.65 <=> ! [C] : % 0.57/0.65 ( in(C,A) % 0.57/0.65 => in(C,B) ) ) ). % 0.57/0.65 % 0.57/0.65 fof(d3_xboole_0,axiom, % 0.57/0.65 ! [A,B,C] : % 0.57/0.65 ( C = set_intersection2(A,B) % 0.57/0.65 <=> ! [D] : % 0.57/0.65 ( in(D,C) % 0.57/0.65 <=> ( in(D,A) % 0.57/0.65 & in(D,B) ) ) ) ). % 0.57/0.65 % 0.57/0.65 fof(dt_k1_xboole_0,axiom, % 0.57/0.65 $true ). % 0.57/0.65 % 0.57/0.65 fof(dt_k3_xboole_0,axiom, % 0.57/0.65 $true ). % 0.57/0.65 % 0.57/0.65 fof(fc1_xboole_0,axiom, % 0.57/0.65 empty(empty_set) ). % 0.57/0.65 % 0.57/0.65 fof(idempotence_k3_xboole_0,axiom, % 0.57/0.65 ! [A,B] : set_intersection2(A,A) = A ). % 0.57/0.65 % 0.57/0.65 fof(rc1_xboole_0,axiom, % 0.57/0.65 ? [A] : empty(A) ). % 0.57/0.65 % 0.57/0.65 fof(rc2_xboole_0,axiom, % 0.57/0.65 ? [A] : ~ empty(A) ). % 0.57/0.65 % 0.57/0.65 fof(reflexivity_r1_tarski,axiom, % 0.57/0.65 ! [A,B] : subset(A,A) ). % 0.57/0.65 % 0.57/0.65 fof(t17_xboole_1,axiom, % 0.57/0.65 ! [A,B] : subset(set_intersection2(A,B),A) ). % 0.57/0.65 % 0.57/0.65 fof(t28_xboole_1,conjecture, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ( subset(A,B) % 0.57/0.65 => set_intersection2(A,B) = A ) ). % 0.57/0.65 % 0.57/0.65 fof(t2_boole,axiom, % 0.57/0.65 ! [A] : set_intersection2(A,empty_set) = empty_set ). % 0.57/0.65 % 0.57/0.65 fof(t6_boole,axiom, % 0.57/0.65 ! [A] : % 0.57/0.65 ( empty(A) % 0.57/0.65 => A = empty_set ) ). % 0.57/0.65 % 0.57/0.65 fof(t7_boole,axiom, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ~ ( in(A,B) % 0.57/0.65 & empty(B) ) ). % 0.57/0.65 % 0.57/0.65 fof(t8_boole,axiom, % 0.57/0.65 ! [A,B] : % 0.57/0.65 ~ ( empty(A) % 0.57/0.65 & A != B % 0.57/0.65 & empty(B) ) ). % 0.57/0.65 % 0.57/0.65 %------------------------------------------------------------------------------ % 0.57/0.65 %------------------------------------------- % 0.57/0.65 % Proof found % 0.57/0.65 % SZS status Theorem for theBenchmark % 0.57/0.65 % SZS output start Proof % 0.57/0.65 %ClaNum:41(EqnAxiom:15) % 0.57/0.65 %VarNum:112(SingletonVarNum:46) % 0.57/0.65 %MaxLitNum:4 % 0.57/0.65 %MaxfuncDepth:1 % 0.57/0.65 %SharedTerms:11 % 0.57/0.65 %goalClause: 18 25 % 0.57/0.65 %singleGoalClaCount:2 % 0.57/0.65 [16]P1(a1) % 0.57/0.65 [17]P1(a2) % 0.57/0.65 [18]P2(a5,a7) % 0.57/0.65 [24]~P1(a6) % 0.57/0.65 [25]~E(f8(a5,a7),a5) % 0.57/0.65 [20]P2(x201,x201) % 0.57/0.65 [19]E(f8(x191,a1),a1) % 0.57/0.65 [21]E(f8(x211,x211),x211) % 0.57/0.65 [22]E(f8(x221,x222),f8(x222,x221)) % 0.57/0.65 [23]P2(f8(x231,x232),x231) % 0.57/0.65 [26]~P1(x261)+E(x261,a1) % 0.57/0.65 [29]~E(x291,x292)+P2(x291,x292) % 0.57/0.65 [30]~P1(x301)+~P3(x302,x301) % 0.57/0.65 [31]~P3(x312,x311)+~P3(x311,x312) % 0.57/0.65 [33]P2(x331,x332)+P3(f3(x331,x332),x331) % 0.57/0.65 [37]P2(x371,x372)+~P3(f3(x371,x372),x372) % 0.57/0.65 [27]~P1(x272)+~P1(x271)+E(x271,x272) % 0.57/0.65 [32]~P2(x322,x321)+~P2(x321,x322)+E(x321,x322) % 0.57/0.65 [34]~P2(x343,x342)+P3(x341,x342)+~P3(x341,x343) % 0.57/0.65 [39]P3(f4(x392,x393,x391),x391)+P3(f4(x392,x393,x391),x393)+E(x391,f8(x392,x393)) % 0.57/0.65 [40]P3(f4(x402,x403,x401),x401)+P3(f4(x402,x403,x401),x402)+E(x401,f8(x402,x403)) % 0.57/0.65 [35]~P3(x351,x353)+P3(x351,x352)+~E(x353,f8(x354,x352)) % 0.57/0.65 [36]~P3(x361,x363)+P3(x361,x362)+~E(x363,f8(x362,x364)) % 0.57/0.65 [41]~P3(f4(x412,x413,x411),x411)+~P3(f4(x412,x413,x411),x413)+~P3(f4(x412,x413,x411),x412)+E(x411,f8(x412,x413)) % 0.57/0.65 [38]~P3(x381,x384)+~P3(x381,x383)+P3(x381,x382)+~E(x382,f8(x383,x384)) % 0.57/0.65 %EqnAxiom % 0.57/0.65 [1]E(x11,x11) % 0.57/0.65 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.65 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43)) % 0.57/0.65 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52)) % 0.57/0.65 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64)) % 0.57/0.65 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74)) % 0.57/0.65 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82)) % 0.57/0.65 [9]~E(x91,x92)+E(f3(x91,x93),f3(x92,x93)) % 0.57/0.65 [10]~E(x101,x102)+E(f3(x103,x101),f3(x103,x102)) % 0.57/0.65 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.57/0.65 [12]P3(x122,x123)+~E(x121,x122)+~P3(x121,x123) % 0.57/0.65 [13]P3(x133,x132)+~E(x131,x132)+~P3(x133,x131) % 0.57/0.65 [14]P2(x142,x143)+~E(x141,x142)+~P2(x141,x143) % 0.57/0.65 [15]P2(x153,x152)+~E(x151,x152)+~P2(x153,x151) % 0.57/0.65 % 0.57/0.65 %------------------------------------------- % 0.57/0.65 cnf(43,plain, % 0.57/0.65 (~P3(x431,f8(x432,x433))+P3(x431,x433)), % 0.57/0.65 inference(equality_inference,[],[35])). % 0.57/0.65 cnf(44,plain, % 0.57/0.65 (~P3(x441,f8(x442,x443))+P3(x441,x442)), % 0.57/0.65 inference(equality_inference,[],[36])). % 0.57/0.65 cnf(45,plain, % 0.57/0.65 (~P3(x451,x452)+~P3(x451,x453)+P3(x451,f8(x453,x452))), % 0.57/0.65 inference(equality_inference,[],[38])). % 0.57/0.65 cnf(46,plain, % 0.57/0.65 (E(x461,f8(x461,x461))), % 0.57/0.65 inference(scs_inference,[],[21,2])). % 0.57/0.65 cnf(53,plain, % 0.57/0.65 (E(f8(x531,x531),x531)), % 0.57/0.65 inference(rename_variables,[],[21])). % 0.57/0.65 cnf(54,plain, % 0.57/0.65 (P2(f8(a5,a5),a7)), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,16,2,30,32,3,14])). % 0.57/0.65 cnf(56,plain, % 0.57/0.65 (~P3(x561,f8(f8(x562,a1),f8(x562,a1)))), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,16,2,30,32,3,14,15,35])). % 0.57/0.65 cnf(57,plain, % 0.57/0.65 (E(f8(x571,x571),x571)), % 0.57/0.65 inference(rename_variables,[],[21])). % 0.57/0.65 cnf(59,plain, % 0.57/0.65 (~P3(x591,f8(f8(a1,x592),f8(a1,x592)))), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,16,2,30,32,3,14,15,35,36])). % 0.57/0.65 cnf(60,plain, % 0.57/0.65 (E(f8(x601,x601),x601)), % 0.57/0.65 inference(rename_variables,[],[21])). % 0.57/0.65 cnf(62,plain, % 0.57/0.65 (~P3(x621,f8(x622,a1))), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,16,2,30,32,3,14,15,35,36,45])). % 0.57/0.65 cnf(65,plain, % 0.57/0.65 (E(f8(x651,x651),x651)), % 0.57/0.65 inference(rename_variables,[],[21])). % 0.57/0.65 cnf(68,plain, % 0.57/0.65 (~E(a7,a1)), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,16,24,2,30,32,3,14,15,35,36,45,11,39,13])). % 0.57/0.65 cnf(69,plain, % 0.57/0.65 (P3(f4(a5,a7,a7),f8(f8(a7,a7),f8(a7,a7)))), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,65,16,24,2,30,32,3,14,15,35,36,45,11,39,13,38])). % 0.57/0.65 cnf(74,plain, % 0.57/0.65 (~E(a5,f8(a5,a7))), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,65,16,24,2,30,32,3,14,15,35,36,45,11,39,13,38,41,29])). % 0.57/0.65 cnf(87,plain, % 0.57/0.65 (P3(f4(a5,a7,a5),a5)), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,65,16,24,2,30,32,3,14,15,35,36,45,11,39,13,38,41,29,43,44,5,26,31,27,40])). % 0.57/0.65 cnf(90,plain, % 0.57/0.65 (~E(a5,a7)), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,65,16,24,2,30,32,3,14,15,35,36,45,11,39,13,38,41,29,43,44,5,26,31,27,40,12,8])). % 0.57/0.65 cnf(91,plain, % 0.57/0.65 (P3(f4(a5,a7,a5),a7)), % 0.57/0.65 inference(scs_inference,[],[18,25,23,21,53,57,60,65,16,24,2,30,32,3,14,15,35,36,45,11,39,13,38,41,29,43,44,5,26,31,27,40,12,8,34])). % 0.57/0.65 cnf(94,plain, % 0.57/0.65 (~P3(x941,f8(x942,a1))), % 0.57/0.65 inference(rename_variables,[],[62])). % 0.57/0.66 cnf(108,plain, % 0.57/0.66 (E(f8(x1081,x1082),f8(x1082,x1081))), % 0.57/0.66 inference(rename_variables,[],[22])). % 0.57/0.66 cnf(111,plain, % 0.57/0.66 (E(x1111,f8(x1111,x1111))), % 0.57/0.66 inference(rename_variables,[],[46])). % 0.57/0.66 cnf(116,plain, % 0.57/0.66 (E(x1161,f8(x1161,x1161))), % 0.57/0.66 inference(rename_variables,[],[46])). % 0.57/0.66 cnf(118,plain, % 0.57/0.66 (E(x1181,f8(x1181,x1181))), % 0.57/0.66 inference(rename_variables,[],[46])). % 0.57/0.66 cnf(126,plain, % 0.57/0.66 ($false), % 0.57/0.66 inference(scs_inference,[],[18,46,111,116,118,91,54,56,59,62,94,69,74,90,22,108,87,17,68,19,33,30,44,31,2,43,32,36,14,45,3,15,12,13,11,38,41]), % 0.57/0.66 ['proof']). % 0.57/0.66 % SZS output end Proof % 0.57/0.66 % Total time :0.020000s %------------------------------------------------------------------------------