%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU173+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 : n027.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 15:01:33 EDT 2024 % Result : Theorem 12.07s 12.16s % Output : CNFRefutation 12.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU173+1 : TPTP v8.2.0. Released v3.3.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n027.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 : Fri Jun 21 14:24:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.56/0.59 start to proof:theBenchmark % 12.07/12.14 %------------------------------------------- % 12.07/12.14 % File :CSE---1.7 % 12.07/12.14 % Problem :theBenchmark % 12.07/12.14 % Transform :cnf % 12.07/12.15 % Format :tptp:raw % 12.07/12.15 % Command :java -jar mcs_scs.jar %d %s % 12.07/12.15 % 12.07/12.15 % Result :Theorem 11.520000s % 12.07/12.15 % Output :CNFRefutation 11.520000s % 12.07/12.15 %------------------------------------------- % 12.07/12.15 %------------------------------------------------------------------------------ % 12.07/12.15 % File : SEU173+1 : TPTP v8.2.0. Released v3.3.0. % 12.07/12.15 % Domain : Set theory % 12.07/12.15 % Problem : MPTP bushy problem l71_subset_1 % 12.07/12.15 % Version : [Urb07] axioms : Especial. % 12.07/12.15 % English : % 12.07/12.15 % 12.07/12.15 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 12.07/12.15 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 12.07/12.15 % Source : [Urb07] % 12.07/12.15 % Names : bushy-l71_subset_1 [Urb07] % 12.07/12.15 % 12.07/12.15 % Status : Theorem % 12.07/12.15 % Rating : 0.25 v8.2.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.20 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, 0.05 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.25 v3.5.0, 0.26 v3.3.0 % 12.07/12.15 % Syntax : Number of formulae : 19 ( 9 unt; 0 def) % 12.07/12.15 % Number of atoms : 38 ( 3 equ) % 12.07/12.15 % Maximal formula atoms : 6 ( 2 avg) % 12.07/12.15 % Number of connectives : 28 ( 9 ~; 0 |; 6 &) % 12.07/12.15 % ( 5 <=>; 8 =>; 0 <=; 0 <~>) % 12.07/12.15 % Maximal formula depth : 7 ( 4 avg) % 12.07/12.15 % Maximal term depth : 2 ( 1 avg) % 12.07/12.15 % Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty) % 12.07/12.15 % Number of functors : 2 ( 2 usr; 1 con; 0-1 aty) % 12.07/12.15 % Number of variables : 29 ( 24 !; 5 ?) % 12.07/12.15 % SPC : FOF_THM_RFO_SEQ % 12.07/12.15 % 12.07/12.15 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 12.07/12.15 % library, www.mizar.org % 12.07/12.15 %------------------------------------------------------------------------------ % 12.07/12.15 fof(antisymmetry_r2_hidden,axiom, % 12.07/12.15 ! [A,B] : % 12.07/12.15 ( in(A,B) % 12.07/12.15 => ~ in(B,A) ) ). % 12.07/12.15 % 12.07/12.15 fof(d1_zfmisc_1,axiom, % 12.07/12.15 ! [A,B] : % 12.07/12.15 ( B = powerset(A) % 12.07/12.15 <=> ! [C] : % 12.07/12.15 ( in(C,B) % 12.07/12.15 <=> subset(C,A) ) ) ). % 12.07/12.15 % 12.07/12.15 fof(d2_subset_1,axiom, % 12.07/12.15 ! [A,B] : % 12.07/12.15 ( ( ~ empty(A) % 12.07/12.15 => ( element(B,A) % 12.07/12.15 <=> in(B,A) ) ) % 12.07/12.15 & ( empty(A) % 12.07/12.15 => ( element(B,A) % 12.07/12.15 <=> empty(B) ) ) ) ). % 12.07/12.15 % 12.07/12.15 fof(d3_tarski,axiom, % 12.07/12.15 ! [A,B] : % 12.07/12.15 ( subset(A,B) % 12.07/12.15 <=> ! [C] : % 12.07/12.15 ( in(C,A) % 12.07/12.15 => in(C,B) ) ) ). % 12.07/12.15 % 12.07/12.15 fof(dt_k1_xboole_0,axiom, % 12.07/12.15 $true ). % 12.07/12.15 % 12.07/12.15 fof(dt_k1_zfmisc_1,axiom, % 12.07/12.15 $true ). % 12.07/12.15 % 12.07/12.15 fof(dt_m1_subset_1,axiom, % 12.07/12.15 $true ). % 12.07/12.15 % 12.07/12.15 fof(existence_m1_subset_1,axiom, % 12.07/12.15 ! [A] : % 12.07/12.15 ? [B] : element(B,A) ). % 12.07/12.15 % 12.07/12.15 fof(fc1_subset_1,axiom, % 12.07/12.15 ! [A] : ~ empty(powerset(A)) ). % 12.07/12.15 % 12.07/12.15 fof(fc1_xboole_0,axiom, % 12.07/12.15 empty(empty_set) ). % 12.07/12.15 % 12.07/12.15 fof(l71_subset_1,conjecture, % 12.07/12.15 ! [A,B] : % 12.07/12.15 ( ! [C] : % 12.07/12.15 ( in(C,A) % 12.07/12.15 => in(C,B) ) % 12.07/12.15 => element(A,powerset(B)) ) ). % 12.07/12.15 % 12.07/12.15 fof(rc1_subset_1,axiom, % 12.07/12.15 ! [A] : % 12.07/12.15 ( ~ empty(A) % 12.07/12.15 => ? [B] : % 12.07/12.15 ( element(B,powerset(A)) % 12.07/12.15 & ~ empty(B) ) ) ). % 12.07/12.15 % 12.07/12.15 fof(rc1_xboole_0,axiom, % 12.07/12.15 ? [A] : empty(A) ). % 12.07/12.15 % 12.07/12.15 fof(rc2_subset_1,axiom, % 12.07/12.15 ! [A] : % 12.07/12.15 ? [B] : % 12.07/12.15 ( element(B,powerset(A)) % 12.07/12.15 & empty(B) ) ). % 12.07/12.15 % 12.07/12.15 fof(rc2_xboole_0,axiom, % 12.07/12.15 ? [A] : ~ empty(A) ). % 12.07/12.15 % 12.07/12.15 fof(reflexivity_r1_tarski,axiom, % 12.07/12.15 ! [A,B] : subset(A,A) ). % 12.07/12.15 % 12.07/12.15 fof(t6_boole,axiom, % 12.07/12.15 ! [A] : % 12.07/12.16 ( empty(A) % 12.07/12.16 => A = empty_set ) ). % 12.07/12.16 % 12.07/12.16 fof(t7_boole,axiom, % 12.07/12.16 ! [A,B] : % 12.07/12.16 ~ ( in(A,B) % 12.07/12.16 & empty(B) ) ). % 12.07/12.16 % 12.07/12.16 fof(t8_boole,axiom, % 12.07/12.16 ! [A,B] : % 12.07/12.16 ~ ( empty(A) % 12.07/12.16 & A != B % 12.07/12.16 & empty(B) ) ). % 12.07/12.16 % 12.07/12.16 %------------------------------------------------------------------------------ % 12.07/12.16 %------------------------------------------- % 12.07/12.16 % Proof found % 12.07/12.16 % SZS status Theorem for theBenchmark % 12.07/12.16 % SZS output start Proof % 12.07/12.16 %ClaNum:45(EqnAxiom:18) % 12.07/12.16 %VarNum:90(SingletonVarNum:40) % 12.07/12.16 %MaxLitNum:3 % 12.07/12.16 %MaxfuncDepth:1 % 12.07/12.16 %SharedTerms:10 % 12.07/12.16 %goalClause: 27 34 % 12.07/12.16 %singleGoalClaCount:1 % 12.07/12.16 [19]P1(a1) % 12.07/12.16 [20]P1(a2) % 12.07/12.16 [25]~P1(a11) % 12.07/12.16 [27]~P2(a6,f10(a7)) % 12.07/12.16 [22]P3(x221,x221) % 12.07/12.16 [21]P1(f9(x211)) % 12.07/12.16 [23]P2(f3(x231),x231) % 12.07/12.16 [24]P2(f9(x241),f10(x241)) % 12.07/12.16 [26]~P1(f10(x261)) % 12.07/12.16 [28]~P1(x281)+E(x281,a1) % 12.07/12.16 [34]~P4(x341,a6)+P4(x341,a7) % 12.07/12.16 [30]P1(x301)+~P1(f8(x301)) % 12.07/12.16 [33]P1(x331)+P2(f8(x331),f10(x331)) % 12.07/12.16 [32]~P1(x321)+~P4(x322,x321) % 12.07/12.16 [38]~P4(x382,x381)+~P4(x381,x382) % 12.07/12.16 [41]P3(x411,x412)+P4(f4(x411,x412),x411) % 12.07/12.16 [43]P3(x431,x432)+~P4(f4(x431,x432),x432) % 12.07/12.16 [29]~P1(x292)+~P1(x291)+E(x291,x292) % 12.07/12.16 [31]~P1(x312)+~P1(x311)+P2(x311,x312) % 12.07/12.16 [35]~P2(x351,x352)+P1(x351)+~P1(x352) % 12.07/12.16 [36]~P2(x362,x361)+P1(x361)+P4(x362,x361) % 12.07/12.16 [37]~P4(x372,x371)+P1(x371)+P2(x372,x371) % 12.07/12.16 [44]P4(f5(x442,x441),x441)+P3(f5(x442,x441),x442)+E(x441,f10(x442)) % 12.07/12.16 [45]~P4(f5(x452,x451),x451)+~P3(f5(x452,x451),x452)+E(x451,f10(x452)) % 12.07/12.16 [42]~P3(x423,x422)+P4(x421,x422)+~P4(x421,x423) % 12.07/12.16 [39]~P3(x391,x393)+P4(x391,x392)+~E(x392,f10(x393)) % 12.07/12.16 [40]~P4(x401,x403)+P3(x401,x402)+~E(x403,f10(x402)) % 12.07/12.16 %EqnAxiom % 12.07/12.16 [1]E(x11,x11) % 12.07/12.16 [2]E(x22,x21)+~E(x21,x22) % 12.07/12.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 12.07/12.16 [4]~E(x41,x42)+E(f9(x41),f9(x42)) % 12.07/12.16 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 12.07/12.16 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 12.07/12.16 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 12.07/12.16 [8]~E(x81,x82)+E(f10(x81),f10(x82)) % 12.07/12.16 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93)) % 12.07/12.16 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102)) % 12.07/12.16 [11]~E(x111,x112)+E(f8(x111),f8(x112)) % 12.07/12.16 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 12.07/12.16 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133) % 12.07/12.16 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141) % 12.07/12.16 [15]P4(x152,x153)+~E(x151,x152)+~P4(x151,x153) % 12.07/12.16 [16]P4(x163,x162)+~E(x161,x162)+~P4(x163,x161) % 12.07/12.16 [17]P2(x172,x173)+~E(x171,x172)+~P2(x171,x173) % 12.07/12.16 [18]P2(x183,x182)+~E(x181,x182)+~P2(x183,x181) % 12.07/12.16 % 12.07/12.16 %------------------------------------------- % 12.07/12.16 cnf(46,plain, % 12.07/12.16 (~P3(x461,x462)+P4(x461,f10(x462))), % 12.07/12.16 inference(equality_inference,[],[39])). % 12.07/12.16 cnf(48,plain, % 12.07/12.16 (~P4(x481,a1)), % 12.07/12.16 inference(scs_inference,[],[19,32])). % 12.07/12.16 cnf(51,plain, % 12.07/12.16 (P2(f3(x511),x511)), % 12.07/12.16 inference(rename_variables,[],[23])). % 12.07/12.16 cnf(63,plain, % 12.07/12.16 (~P3(a6,a7)), % 12.07/12.16 inference(scs_inference,[],[27,23,51,19,25,26,32,36,37,17,35,16,38,46])). % 12.07/12.16 cnf(76,plain, % 12.07/12.16 (~P4(x761,a1)), % 12.07/12.16 inference(rename_variables,[],[48])). % 12.07/12.16 cnf(84,plain, % 12.07/12.16 (P2(f9(x841),f10(x841))), % 12.07/12.16 inference(rename_variables,[],[24])). % 12.07/12.16 cnf(93,plain, % 12.07/12.16 (P4(x931,a6)+~E(f3(a6),x931)), % 12.07/12.16 inference(scs_inference,[],[27,48,76,24,84,20,63,23,26,19,41,32,13,35,17,18,29,36,16,15])). % 12.07/12.16 cnf(1301,plain, % 12.07/12.16 (~P4(f4(a6,a7),a6)), % 12.07/12.16 inference(scs_inference,[],[63,34,43])). % 12.07/12.16 cnf(1303,plain, % 12.07/12.16 ($false), % 12.07/12.16 inference(scs_inference,[],[1301,63,93,41]), % 12.07/12.16 ['proof']). % 12.07/12.16 % SZS output end Proof % 12.07/12.16 % Total time :11.520000s %------------------------------------------------------------------------------