%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU177+1 : TPTP v8.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 15:01:34 EDT 2024 % Result : Theorem 0.56s 0.63s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU177+1 : TPTP v8.2.0. Released v3.3.0. % 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n021.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 12:48:53 EDT 2024 % 0.13/0.34 % CPUTime : % 0.52/0.58 start to proof:theBenchmark % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % File :CSE---1.7 % 0.56/0.62 % Problem :theBenchmark % 0.56/0.62 % Transform :cnf % 0.56/0.62 % Format :tptp:raw % 0.56/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.62 % 0.56/0.62 % Result :Theorem 0.000000s % 0.56/0.62 % Output :CNFRefutation 0.000000s % 0.56/0.62 %------------------------------------------- % 0.56/0.63 %------------------------------------------------------------------------------ % 0.56/0.63 % File : SEU177+1 : TPTP v8.2.0. Released v3.3.0. % 0.56/0.63 % Domain : Set theory % 0.56/0.63 % Problem : MPTP bushy problem t20_relat_1 % 0.56/0.63 % Version : [Urb07] axioms : Especial. % 0.56/0.63 % English : % 0.56/0.63 % 0.56/0.63 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.56/0.63 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.56/0.63 % Source : [Urb07] % 0.56/0.63 % Names : bushy-t20_relat_1 [Urb07] % 0.56/0.63 % 0.56/0.63 % Status : Theorem % 0.56/0.63 % Rating : 0.17 v8.2.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.00 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.15 v3.5.0, 0.16 v3.3.0 % 0.56/0.63 % Syntax : Number of formulae : 26 ( 16 unt; 0 def) % 0.56/0.63 % Number of atoms : 44 ( 6 equ) % 0.56/0.63 % Maximal formula atoms : 4 ( 1 avg) % 0.56/0.63 % Number of connectives : 26 ( 8 ~; 1 |; 5 &) % 0.56/0.63 % ( 4 <=>; 8 =>; 0 <=; 0 <~>) % 0.56/0.63 % Maximal formula depth : 8 ( 3 avg) % 0.56/0.63 % Maximal term depth : 3 ( 1 avg) % 0.56/0.63 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty) % 0.56/0.63 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty) % 0.56/0.63 % Number of variables : 36 ( 30 !; 6 ?) % 0.56/0.63 % SPC : FOF_THM_RFO_SEQ % 0.56/0.63 % 0.56/0.63 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.56/0.63 % library, www.mizar.org % 0.56/0.63 %------------------------------------------------------------------------------ % 0.56/0.63 fof(dt_k1_xboole_0,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(fc1_xboole_0,axiom, % 0.56/0.63 empty(empty_set) ). % 0.56/0.63 % 0.56/0.63 fof(commutativity_k2_tarski,axiom, % 0.56/0.63 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.56/0.63 % 0.56/0.63 fof(existence_m1_subset_1,axiom, % 0.56/0.63 ! [A] : % 0.56/0.63 ? [B] : element(B,A) ). % 0.56/0.63 % 0.56/0.63 fof(dt_k1_tarski,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(dt_k2_tarski,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(dt_m1_subset_1,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(rc1_relat_1,axiom, % 0.56/0.63 ? [A] : % 0.56/0.63 ( empty(A) % 0.56/0.63 & relation(A) ) ). % 0.56/0.63 % 0.56/0.63 fof(rc1_xboole_0,axiom, % 0.56/0.63 ? [A] : empty(A) ). % 0.56/0.63 % 0.56/0.63 fof(rc2_xboole_0,axiom, % 0.56/0.63 ? [A] : ~ empty(A) ). % 0.56/0.63 % 0.56/0.63 fof(fc2_subset_1,axiom, % 0.56/0.63 ! [A] : ~ empty(singleton(A)) ). % 0.56/0.63 % 0.56/0.63 fof(fc3_subset_1,axiom, % 0.56/0.63 ! [A,B] : ~ empty(unordered_pair(A,B)) ). % 0.56/0.63 % 0.56/0.63 fof(t2_subset,axiom, % 0.56/0.63 ! [A,B] : % 0.56/0.63 ( element(A,B) % 0.56/0.63 => ( empty(B) % 0.56/0.63 | in(A,B) ) ) ). % 0.56/0.63 % 0.56/0.63 fof(t6_boole,axiom, % 0.56/0.63 ! [A] : % 0.56/0.63 ( empty(A) % 0.56/0.63 => A = empty_set ) ). % 0.56/0.63 % 0.56/0.63 fof(t8_boole,axiom, % 0.56/0.63 ! [A,B] : % 0.56/0.63 ~ ( empty(A) % 0.56/0.63 & A != B % 0.56/0.63 & empty(B) ) ). % 0.56/0.63 % 0.56/0.63 fof(antisymmetry_r2_hidden,axiom, % 0.56/0.63 ! [A,B] : % 0.56/0.63 ( in(A,B) % 0.56/0.63 => ~ in(B,A) ) ). % 0.56/0.63 % 0.56/0.63 fof(dt_k1_relat_1,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(dt_k2_relat_1,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(dt_k4_tarski,axiom, % 0.56/0.63 $true ). % 0.56/0.63 % 0.56/0.63 fof(fc1_zfmisc_1,axiom, % 0.56/0.63 ! [A,B] : ~ empty(ordered_pair(A,B)) ). % 0.56/0.63 % 0.56/0.63 fof(t1_subset,axiom, % 0.56/0.63 ! [A,B] : % 0.56/0.63 ( in(A,B) % 0.56/0.63 => element(A,B) ) ). % 0.56/0.63 % 0.56/0.63 fof(t7_boole,axiom, % 0.56/0.63 ! [A,B] : % 0.56/0.63 ~ ( in(A,B) % 0.56/0.63 & empty(B) ) ). % 0.56/0.63 % 0.56/0.63 fof(d5_tarski,axiom, % 0.56/0.63 ! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ). % 0.56/0.63 % 0.56/0.63 fof(t20_relat_1,conjecture, % 0.56/0.63 ! [A,B,C] : % 0.56/0.63 ( relation(C) % 0.56/0.63 => ( in(ordered_pair(A,B),C) % 0.56/0.63 => ( in(A,relation_dom(C)) % 0.56/0.63 & in(B,relation_rng(C)) ) ) ) ). % 0.56/0.63 % 0.56/0.63 fof(d4_relat_1,axiom, % 0.56/0.63 ! [A] : % 0.56/0.63 ( relation(A) % 0.56/0.63 => ! [B] : % 0.56/0.63 ( B = relation_dom(A) % 0.56/0.63 <=> ! [C] : % 0.56/0.63 ( in(C,B) % 0.56/0.63 <=> ? [D] : in(ordered_pair(C,D),A) ) ) ) ). % 0.56/0.63 % 0.56/0.63 fof(d5_relat_1,axiom, % 0.56/0.63 ! [A] : % 0.56/0.63 ( relation(A) % 0.56/0.63 => ! [B] : % 0.56/0.63 ( B = relation_rng(A) % 0.56/0.63 <=> ! [C] : % 0.56/0.63 ( in(C,B) % 0.56/0.63 <=> ? [D] : in(ordered_pair(D,C),A) ) ) ) ). % 0.56/0.63 % 0.56/0.63 %------------------------------------------------------------------------------ % 0.56/0.63 %------------------------------------------- % 0.56/0.63 % Proof found % 0.56/0.63 % SZS status Theorem for theBenchmark % 0.56/0.63 % SZS output start Proof % 0.56/0.63 %ClaNum:56(EqnAxiom:29) % 0.56/0.63 %VarNum:122(SingletonVarNum:41) % 0.56/0.63 %MaxLitNum:4 % 0.56/0.63 %MaxfuncDepth:3 % 0.56/0.63 %SharedTerms:21 % 0.56/0.63 %goalClause: 34 37 48 % 0.56/0.63 %singleGoalClaCount:2 % 0.56/0.63 [30]P1(a1) % 0.56/0.63 [31]P1(a2) % 0.56/0.63 [32]P1(a8) % 0.56/0.63 [33]P3(a2) % 0.56/0.63 [34]P3(a9) % 0.56/0.63 [38]~P1(a11) % 0.56/0.63 [37]P4(f13(f13(a10,a12),f14(a10)),a9) % 0.56/0.63 [35]P2(f3(x351),x351) % 0.56/0.63 [39]~P1(f14(x391)) % 0.56/0.63 [36]E(f13(x361,x362),f13(x362,x361)) % 0.56/0.63 [40]~P1(f13(x401,x402)) % 0.56/0.63 [48]~P4(a10,f15(a9))+~P4(a12,f18(a9)) % 0.56/0.63 [42]~P1(x421)+E(x421,a1) % 0.56/0.63 [44]~P1(x441)+~P4(x442,x441) % 0.56/0.63 [45]~P4(x451,x452)+P2(x451,x452) % 0.56/0.63 [47]~P4(x472,x471)+~P4(x471,x472) % 0.56/0.63 [43]~P1(x432)+~P1(x431)+E(x431,x432) % 0.56/0.63 [46]~P2(x462,x461)+P1(x461)+P4(x462,x461) % 0.56/0.63 [52]~P3(x522)+P4(f16(x522,x521),x521)+E(x521,f15(x522))+P4(f13(f13(f16(x522,x521),f5(x522,x521)),f14(f16(x522,x521))),x522) % 0.56/0.63 [53]~P3(x532)+P4(f4(x532,x531),x531)+E(x531,f18(x532))+P4(f13(f13(f7(x532,x531),f4(x532,x531)),f14(f7(x532,x531))),x532) % 0.56/0.63 [51]~P3(x512)+~P4(f4(x512,x511),x511)+E(x511,f18(x512))+~P4(f13(f13(x513,f4(x512,x511)),f14(x513)),x512) % 0.56/0.63 [55]~P3(x552)+~P4(x551,x553)+~E(x553,f15(x552))+P4(f13(f13(x551,f17(x552,x553,x551)),f14(x551)),x552) % 0.56/0.63 [54]~P3(x542)+~P4(f16(x542,x541),x541)+E(x541,f15(x542))+~P4(f13(f13(f16(x542,x541),x543),f14(f16(x542,x541))),x542) % 0.56/0.63 [56]~P3(x561)+~P4(x563,x562)+~E(x562,f18(x561))+P4(f13(f13(f6(x561,x562,x563),x563),f14(f6(x561,x562,x563))),x561) % 0.56/0.63 [49]~P3(x493)+P4(x491,x492)+~E(x492,f18(x493))+~P4(f13(f13(x494,x491),f14(x494)),x493) % 0.56/0.63 [50]~P3(x503)+P4(x501,x502)+~E(x502,f15(x503))+~P4(f13(f13(x501,x504),f14(x501)),x503) % 0.56/0.63 %EqnAxiom % 0.56/0.63 [1]E(x11,x11) % 0.56/0.63 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.63 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.56/0.63 [5]~E(x51,x52)+E(f13(x51,x53),f13(x52,x53)) % 0.56/0.63 [6]~E(x61,x62)+E(f13(x63,x61),f13(x63,x62)) % 0.56/0.63 [7]~E(x71,x72)+E(f18(x71),f18(x72)) % 0.56/0.63 [8]~E(x81,x82)+E(f14(x81),f14(x82)) % 0.56/0.63 [9]~E(x91,x92)+E(f7(x91,x93),f7(x92,x93)) % 0.56/0.63 [10]~E(x101,x102)+E(f7(x103,x101),f7(x103,x102)) % 0.56/0.63 [11]~E(x111,x112)+E(f6(x111,x113,x114),f6(x112,x113,x114)) % 0.56/0.63 [12]~E(x121,x122)+E(f6(x123,x121,x124),f6(x123,x122,x124)) % 0.56/0.63 [13]~E(x131,x132)+E(f6(x133,x134,x131),f6(x133,x134,x132)) % 0.56/0.63 [14]~E(x141,x142)+E(f16(x141,x143),f16(x142,x143)) % 0.56/0.63 [15]~E(x151,x152)+E(f16(x153,x151),f16(x153,x152)) % 0.56/0.63 [16]~E(x161,x162)+E(f4(x161,x163),f4(x162,x163)) % 0.56/0.63 [17]~E(x171,x172)+E(f4(x173,x171),f4(x173,x172)) % 0.56/0.63 [18]~E(x181,x182)+E(f15(x181),f15(x182)) % 0.56/0.63 [19]~E(x191,x192)+E(f5(x191,x193),f5(x192,x193)) % 0.56/0.63 [20]~E(x201,x202)+E(f5(x203,x201),f5(x203,x202)) % 0.56/0.63 [21]~E(x211,x212)+E(f17(x211,x213,x214),f17(x212,x213,x214)) % 0.56/0.63 [22]~E(x221,x222)+E(f17(x223,x221,x224),f17(x223,x222,x224)) % 0.56/0.63 [23]~E(x231,x232)+E(f17(x233,x234,x231),f17(x233,x234,x232)) % 0.56/0.63 [24]~P1(x241)+P1(x242)+~E(x241,x242) % 0.56/0.63 [25]P4(x252,x253)+~E(x251,x252)+~P4(x251,x253) % 0.56/0.63 [26]P4(x263,x262)+~E(x261,x262)+~P4(x263,x261) % 0.56/0.63 [27]~P3(x271)+P3(x272)+~E(x271,x272) % 0.56/0.63 [28]P2(x282,x283)+~E(x281,x282)+~P2(x281,x283) % 0.56/0.63 [29]P2(x293,x292)+~E(x291,x292)+~P2(x293,x291) % 0.56/0.63 % 0.56/0.63 %------------------------------------------- % 0.56/0.64 cnf(57,plain, % 0.56/0.64 (~P3(x571)+P4(x572,f18(x571))+~P4(f13(f13(x573,x572),f14(x573)),x571)), % 0.56/0.64 inference(equality_inference,[],[49])). % 0.56/0.64 cnf(58,plain, % 0.56/0.64 (~P3(x581)+P4(x582,f15(x581))+~P4(f13(f13(x582,x583),f14(x582)),x581)), % 0.56/0.64 inference(equality_inference,[],[50])). % 0.56/0.64 cnf(66,plain, % 0.56/0.64 (P2(f3(x661),x661)), % 0.56/0.64 inference(rename_variables,[],[35])). % 0.56/0.64 cnf(73,plain, % 0.56/0.64 (E(f13(x731,x732),f13(x732,x731))), % 0.56/0.64 inference(rename_variables,[],[36])). % 0.56/0.64 cnf(79,plain, % 0.56/0.64 ($false), % 0.56/0.64 inference(scs_inference,[],[34,37,35,66,36,73,30,38,44,47,46,57,58,25,26,43,29,48]), % 0.56/0.64 ['proof']). % 0.56/0.64 % SZS output end Proof % 0.56/0.64 % Total time :0.000000s %------------------------------------------------------------------------------