%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU122+2 : 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 : n026.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 15:01:08 EDT 2024 % Result : Theorem 0.59s 0.66s % Output : CNFRefutation 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU122+2 : TPTP v8.2.0. Released v3.3.0. % 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.34 % Computer : n026.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Jun 21 17:48:39 EDT 2024 % 0.14/0.34 % CPUTime : % 0.55/0.61 start to proof:theBenchmark % 0.59/0.65 %------------------------------------------- % 0.59/0.65 % File :CSE---1.7 % 0.59/0.65 % Problem :theBenchmark % 0.59/0.65 % Transform :cnf % 0.59/0.65 % Format :tptp:raw % 0.59/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.59/0.65 % 0.59/0.65 % Result :Theorem 0.000000s % 0.59/0.65 % Output :CNFRefutation 0.000000s % 0.59/0.65 %------------------------------------------- % 0.59/0.65 %------------------------------------------------------------------------------ % 0.59/0.65 % File : SEU122+2 : TPTP v8.2.0. Released v3.3.0. % 0.59/0.65 % Domain : Set theory % 0.59/0.65 % Problem : MPTP chainy problem t2_xboole_1 % 0.59/0.65 % Version : [Urb07] axioms : Especial. % 0.59/0.65 % English : % 0.59/0.65 % 0.59/0.65 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.59/0.65 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.59/0.65 % Source : [Urb07] % 0.59/0.65 % Names : chainy-t2_xboole_1 [Urb07] % 0.59/0.65 % 0.59/0.65 % Status : Theorem % 0.59/0.65 % Rating : 0.06 v8.1.0, 0.03 v7.2.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.11 v5.2.0, 0.00 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0 % 0.59/0.65 % Syntax : Number of formulae : 21 ( 9 unt; 0 def) % 0.59/0.65 % Number of atoms : 44 ( 7 equ) % 0.59/0.65 % Maximal formula atoms : 6 ( 2 avg) % 0.59/0.65 % Number of connectives : 37 ( 14 ~; 0 |; 13 &) % 0.59/0.65 % ( 5 <=>; 5 =>; 0 <=; 0 <~>) % 0.59/0.65 % Maximal formula depth : 9 ( 4 avg) % 0.59/0.65 % Maximal term depth : 2 ( 1 avg) % 0.59/0.65 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty) % 0.59/0.65 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty) % 0.59/0.65 % Number of variables : 40 ( 36 !; 4 ?) % 0.59/0.65 % SPC : FOF_THM_RFO_SEQ % 0.59/0.65 % 0.59/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.59/0.65 % library, www.mizar.org % 0.59/0.65 %------------------------------------------------------------------------------ % 0.59/0.65 fof(antisymmetry_r2_hidden,axiom, % 0.59/0.65 ! [A,B] : % 0.59/0.65 ( in(A,B) % 0.59/0.65 => ~ in(B,A) ) ). % 0.59/0.65 % 0.59/0.65 fof(commutativity_k3_xboole_0,axiom, % 0.59/0.65 ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ). % 0.59/0.65 % 0.59/0.65 fof(d1_xboole_0,axiom, % 0.59/0.65 ! [A] : % 0.59/0.65 ( A = empty_set % 0.59/0.65 <=> ! [B] : ~ in(B,A) ) ). % 0.59/0.65 % 0.59/0.65 fof(d3_tarski,axiom, % 0.59/0.65 ! [A,B] : % 0.59/0.65 ( subset(A,B) % 0.59/0.65 <=> ! [C] : % 0.59/0.65 ( in(C,A) % 0.59/0.65 => in(C,B) ) ) ). % 0.59/0.65 % 0.59/0.65 fof(d3_xboole_0,axiom, % 0.59/0.65 ! [A,B,C] : % 0.59/0.65 ( C = set_intersection2(A,B) % 0.59/0.65 <=> ! [D] : % 0.59/0.65 ( in(D,C) % 0.59/0.65 <=> ( in(D,A) % 0.59/0.65 & in(D,B) ) ) ) ). % 0.59/0.65 % 0.59/0.65 fof(d7_xboole_0,axiom, % 0.59/0.65 ! [A,B] : % 0.59/0.65 ( disjoint(A,B) % 0.59/0.65 <=> set_intersection2(A,B) = empty_set ) ). % 0.59/0.65 % 0.59/0.65 fof(dt_k1_xboole_0,axiom, % 0.59/0.65 $true ). % 0.59/0.65 % 0.59/0.66 fof(dt_k3_xboole_0,axiom, % 0.59/0.66 $true ). % 0.59/0.66 % 0.59/0.66 fof(fc1_xboole_0,axiom, % 0.59/0.66 empty(empty_set) ). % 0.59/0.66 % 0.59/0.66 fof(idempotence_k3_xboole_0,axiom, % 0.59/0.66 ! [A,B] : set_intersection2(A,A) = A ). % 0.59/0.66 % 0.59/0.66 fof(rc1_xboole_0,axiom, % 0.59/0.66 ? [A] : empty(A) ). % 0.59/0.66 % 0.59/0.66 fof(rc2_xboole_0,axiom, % 0.59/0.66 ? [A] : ~ empty(A) ). % 0.59/0.66 % 0.59/0.66 fof(reflexivity_r1_tarski,axiom, % 0.59/0.66 ! [A,B] : subset(A,A) ). % 0.59/0.66 % 0.59/0.66 fof(symmetry_r1_xboole_0,axiom, % 0.59/0.66 ! [A,B] : % 0.59/0.66 ( disjoint(A,B) % 0.59/0.66 => disjoint(B,A) ) ). % 0.59/0.66 % 0.59/0.66 fof(t1_xboole_1,lemma, % 0.59/0.66 ! [A,B,C] : % 0.59/0.66 ( ( subset(A,B) % 0.59/0.66 & subset(B,C) ) % 0.59/0.66 => subset(A,C) ) ). % 0.59/0.66 % 0.59/0.66 fof(t2_xboole_1,conjecture, % 0.59/0.66 ! [A] : subset(empty_set,A) ). % 0.59/0.66 % 0.59/0.66 fof(t3_xboole_0,lemma, % 0.59/0.66 ! [A,B] : % 0.59/0.66 ( ~ ( ~ disjoint(A,B) % 0.59/0.66 & ! [C] : % 0.59/0.66 ~ ( in(C,A) % 0.59/0.66 & in(C,B) ) ) % 0.59/0.66 & ~ ( ? [C] : % 0.59/0.66 ( in(C,A) % 0.59/0.66 & in(C,B) ) % 0.59/0.66 & disjoint(A,B) ) ) ). % 0.59/0.66 % 0.59/0.66 fof(t4_xboole_0,lemma, % 0.59/0.66 ! [A,B] : % 0.59/0.66 ( ~ ( ~ disjoint(A,B) % 0.59/0.66 & ! [C] : ~ in(C,set_intersection2(A,B)) ) % 0.59/0.66 & ~ ( ? [C] : in(C,set_intersection2(A,B)) % 0.59/0.66 & disjoint(A,B) ) ) ). % 0.59/0.66 % 0.59/0.66 fof(t6_boole,axiom, % 0.59/0.66 ! [A] : % 0.59/0.66 ( empty(A) % 0.59/0.66 => A = empty_set ) ). % 0.59/0.66 % 0.59/0.66 fof(t7_boole,axiom, % 0.59/0.66 ! [A,B] : % 0.59/0.66 ~ ( in(A,B) % 0.59/0.66 & empty(B) ) ). % 0.59/0.66 % 0.59/0.66 fof(t8_boole,axiom, % 0.59/0.66 ! [A,B] : % 0.59/0.66 ~ ( empty(A) % 0.59/0.66 & A != B % 0.59/0.66 & empty(B) ) ). % 0.59/0.66 % 0.59/0.66 %------------------------------------------------------------------------------ % 0.59/0.66 %------------------------------------------- % 0.59/0.66 % Proof found % 0.59/0.66 % SZS status Theorem for theBenchmark % 0.59/0.66 % SZS output start Proof % 0.59/0.66 %ClaNum:53(EqnAxiom:22) % 0.59/0.66 %VarNum:149(SingletonVarNum:63) % 0.59/0.66 %MaxLitNum:4 % 0.59/0.66 %MaxfuncDepth:1 % 0.59/0.66 %SharedTerms:8 % 0.59/0.66 %goalClause: 29 % 0.59/0.66 %singleGoalClaCount:1 % 0.59/0.66 [23]P1(a1) % 0.59/0.66 [24]P1(a2) % 0.59/0.66 [28]~P1(a7) % 0.59/0.66 [29]~P3(a1,a8) % 0.59/0.66 [25]P3(x251,x251) % 0.59/0.66 [26]E(f6(x261,x261),x261) % 0.59/0.66 [27]E(f6(x271,x272),f6(x272,x271)) % 0.59/0.66 [30]~P1(x301)+E(x301,a1) % 0.59/0.66 [32]P4(f3(x321),x321)+E(x321,a1) % 0.59/0.66 [33]~P4(x332,x331)+~E(x331,a1) % 0.59/0.66 [34]~P1(x341)+~P4(x342,x341) % 0.59/0.66 [37]~P2(x372,x371)+P2(x371,x372) % 0.59/0.66 [38]~P4(x382,x381)+~P4(x381,x382) % 0.59/0.66 [35]~P2(x351,x352)+E(f6(x351,x352),a1) % 0.59/0.66 [36]P2(x361,x362)+~E(f6(x361,x362),a1) % 0.59/0.66 [39]P3(x391,x392)+P4(f4(x391,x392),x391) % 0.59/0.66 [40]P2(x401,x402)+P4(f9(x401,x402),x402) % 0.59/0.66 [41]P2(x411,x412)+P4(f9(x411,x412),x411) % 0.59/0.66 [47]P3(x471,x472)+~P4(f4(x471,x472),x472) % 0.59/0.66 [48]P2(x481,x482)+P4(f10(x481,x482),f6(x481,x482)) % 0.59/0.66 [50]~P2(x501,x502)+~P4(x503,f6(x501,x502)) % 0.59/0.66 [31]~P1(x312)+~P1(x311)+E(x311,x312) % 0.59/0.66 [42]~P3(x423,x422)+P4(x421,x422)+~P4(x421,x423) % 0.59/0.66 [43]~P3(x431,x433)+P3(x431,x432)+~P3(x433,x432) % 0.59/0.66 [46]~P2(x463,x462)+~P4(x461,x462)+~P4(x461,x463) % 0.59/0.66 [51]P4(f5(x512,x513,x511),x511)+P4(f5(x512,x513,x511),x513)+E(x511,f6(x512,x513)) % 0.59/0.66 [52]P4(f5(x522,x523,x521),x521)+P4(f5(x522,x523,x521),x522)+E(x521,f6(x522,x523)) % 0.59/0.66 [44]~P4(x441,x443)+P4(x441,x442)+~E(x443,f6(x444,x442)) % 0.59/0.66 [45]~P4(x451,x453)+P4(x451,x452)+~E(x453,f6(x452,x454)) % 0.59/0.66 [53]~P4(f5(x532,x533,x531),x531)+~P4(f5(x532,x533,x531),x533)+~P4(f5(x532,x533,x531),x532)+E(x531,f6(x532,x533)) % 0.59/0.66 [49]~P4(x491,x494)+~P4(x491,x493)+P4(x491,x492)+~E(x492,f6(x493,x494)) % 0.59/0.66 %EqnAxiom % 0.59/0.66 [1]E(x11,x11) % 0.59/0.66 [2]E(x22,x21)+~E(x21,x22) % 0.59/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.59/0.66 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) % 0.59/0.66 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) % 0.59/0.66 [6]~E(x61,x62)+E(f5(x61,x63,x64),f5(x62,x63,x64)) % 0.59/0.66 [7]~E(x71,x72)+E(f5(x73,x71,x74),f5(x73,x72,x74)) % 0.59/0.66 [8]~E(x81,x82)+E(f5(x83,x84,x81),f5(x83,x84,x82)) % 0.59/0.66 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93)) % 0.59/0.66 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102)) % 0.59/0.66 [11]~E(x111,x112)+E(f3(x111),f3(x112)) % 0.59/0.66 [12]~E(x121,x122)+E(f4(x121,x123),f4(x122,x123)) % 0.59/0.66 [13]~E(x131,x132)+E(f4(x133,x131),f4(x133,x132)) % 0.59/0.66 [14]~E(x141,x142)+E(f9(x141,x143),f9(x142,x143)) % 0.59/0.66 [15]~E(x151,x152)+E(f9(x153,x151),f9(x153,x152)) % 0.59/0.66 [16]~P1(x161)+P1(x162)+~E(x161,x162) % 0.59/0.66 [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173) % 0.59/0.66 [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181) % 0.59/0.66 [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193) % 0.59/0.66 [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201) % 0.59/0.66 [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213) % 0.59/0.66 [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221) % 0.59/0.66 % 0.59/0.66 %------------------------------------------- % 0.59/0.66 cnf(54,plain, % 0.59/0.66 (~P4(x541,a1)), % 0.59/0.66 inference(equality_inference,[],[33])). % 0.59/0.66 cnf(58,plain, % 0.59/0.66 ($false), % 0.59/0.66 inference(scs_inference,[],[29,54,39]), % 0.59/0.66 ['proof']). % 0.59/0.66 % SZS output end Proof % 0.59/0.66 % Total time :0.000000s %------------------------------------------------------------------------------