%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU123+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 : n023.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 15:01:09 EDT 2024 % Result : Theorem 0.47s 0.62s % Output : CNFRefutation 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU123+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 16:42:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.47/0.58 start to proof:theBenchmark % 0.47/0.61 %------------------------------------------- % 0.47/0.61 % File :CSE---1.7 % 0.47/0.61 % Problem :theBenchmark % 0.47/0.61 % Transform :cnf % 0.47/0.61 % Format :tptp:raw % 0.47/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.47/0.61 % 0.47/0.61 % Result :Theorem 0.000000s % 0.47/0.61 % Output :CNFRefutation 0.000000s % 0.47/0.61 %------------------------------------------- % 0.47/0.62 %------------------------------------------------------------------------------ % 0.47/0.62 % File : SEU123+1 : TPTP v8.2.0. Released v3.3.0. % 0.47/0.62 % Domain : Set theory % 0.47/0.62 % Problem : MPTP bushy problem t3_xboole_1 % 0.47/0.62 % Version : [Urb07] axioms : Especial. % 0.47/0.62 % English : % 0.47/0.62 % 0.47/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.47/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.47/0.62 % Source : [Urb07] % 0.47/0.62 % Names : bushy-t3_xboole_1 [Urb07] % 0.47/0.62 % 0.47/0.62 % Status : Theorem % 0.47/0.62 % Rating : 0.00 v5.5.0, 0.11 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.08 v3.3.0 % 0.47/0.62 % Syntax : Number of formulae : 12 ( 6 unt; 0 def) % 0.47/0.62 % Number of atoms : 20 ( 4 equ) % 0.47/0.62 % Maximal formula atoms : 3 ( 1 avg) % 0.47/0.62 % Number of connectives : 13 ( 5 ~; 0 |; 4 &) % 0.47/0.62 % ( 1 <=>; 3 =>; 0 <=; 0 <~>) % 0.47/0.62 % Maximal formula depth : 7 ( 3 avg) % 0.47/0.62 % Maximal term depth : 1 ( 1 avg) % 0.47/0.62 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.47/0.62 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.47/0.62 % Number of variables : 15 ( 13 !; 2 ?) % 0.47/0.62 % SPC : FOF_THM_EPR_SEQ % 0.47/0.62 % 0.47/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.47/0.62 % library, www.mizar.org % 0.47/0.62 %------------------------------------------------------------------------------ % 0.47/0.62 fof(antisymmetry_r2_hidden,axiom, % 0.47/0.62 ! [A,B] : % 0.47/0.62 ( in(A,B) % 0.47/0.62 => ~ in(B,A) ) ). % 0.47/0.62 % 0.47/0.62 fof(d10_xboole_0,axiom, % 0.47/0.62 ! [A,B] : % 0.47/0.62 ( A = B % 0.47/0.62 <=> ( subset(A,B) % 0.47/0.62 & subset(B,A) ) ) ). % 0.47/0.62 % 0.47/0.62 fof(dt_k1_xboole_0,axiom, % 0.47/0.62 $true ). % 0.47/0.62 % 0.47/0.62 fof(fc1_xboole_0,axiom, % 0.47/0.62 empty(empty_set) ). % 0.47/0.62 % 0.47/0.62 fof(rc1_xboole_0,axiom, % 0.47/0.62 ? [A] : empty(A) ). % 0.47/0.62 % 0.47/0.62 fof(rc2_xboole_0,axiom, % 0.47/0.62 ? [A] : ~ empty(A) ). % 0.47/0.62 % 0.47/0.62 fof(reflexivity_r1_tarski,axiom, % 0.47/0.62 ! [A,B] : subset(A,A) ). % 0.47/0.62 % 0.47/0.62 fof(t2_xboole_1,axiom, % 0.47/0.62 ! [A] : subset(empty_set,A) ). % 0.47/0.62 % 0.47/0.62 fof(t3_xboole_1,conjecture, % 0.47/0.62 ! [A] : % 0.47/0.62 ( subset(A,empty_set) % 0.47/0.62 => A = empty_set ) ). % 0.47/0.62 % 0.47/0.62 fof(t6_boole,axiom, % 0.47/0.62 ! [A] : % 0.47/0.62 ( empty(A) % 0.47/0.62 => A = empty_set ) ). % 0.47/0.62 % 0.47/0.62 fof(t7_boole,axiom, % 0.47/0.62 ! [A,B] : % 0.47/0.62 ~ ( in(A,B) % 0.47/0.62 & empty(B) ) ). % 0.47/0.62 % 0.47/0.62 fof(t8_boole,axiom, % 0.47/0.62 ! [A,B] : % 0.47/0.62 ~ ( empty(A) % 0.47/0.62 & A != B % 0.47/0.62 & empty(B) ) ). % 0.47/0.62 % 0.47/0.62 %------------------------------------------------------------------------------ % 0.47/0.62 %------------------------------------------- % 0.47/0.62 % Proof found % 0.47/0.62 % SZS status Theorem for theBenchmark % 0.47/0.62 % SZS output start Proof % 0.47/0.62 %ClaNum:22(EqnAxiom:8) % 0.47/0.62 %VarNum:26(SingletonVarNum:13) % 0.47/0.62 %MaxLitNum:3 % 0.47/0.62 %MaxfuncDepth:0 % 0.47/0.62 %SharedTerms:9 % 0.47/0.62 %goalClause: 11 14 % 0.47/0.62 %singleGoalClaCount:2 % 0.47/0.62 [9]P1(a1) % 0.47/0.62 [10]P1(a2) % 0.47/0.62 [11]P2(a3,a1) % 0.47/0.62 [14]~E(a3,a1) % 0.47/0.62 [15]~P1(a4) % 0.47/0.62 [12]P2(a1,x121) % 0.47/0.62 [13]P2(x131,x131) % 0.47/0.62 [16]~P1(x161)+E(x161,a1) % 0.47/0.62 [19]~E(x191,x192)+P2(x191,x192) % 0.47/0.62 [20]~P1(x201)+~P3(x202,x201) % 0.47/0.62 [21]~P3(x212,x211)+~P3(x211,x212) % 0.47/0.62 [17]~P1(x172)+~P1(x171)+E(x171,x172) % 0.47/0.62 [22]~P2(x222,x221)+~P2(x221,x222)+E(x221,x222) % 0.47/0.62 %EqnAxiom % 0.47/0.62 [1]E(x11,x11) % 0.47/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.47/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.47/0.62 [4]~P1(x41)+P1(x42)+~E(x41,x42) % 0.47/0.62 [5]P2(x52,x53)+~E(x51,x52)+~P2(x51,x53) % 0.47/0.62 [6]P2(x63,x62)+~E(x61,x62)+~P2(x63,x61) % 0.47/0.62 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73) % 0.47/0.62 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81) % 0.47/0.62 % 0.47/0.62 %------------------------------------------- % 0.47/0.62 cnf(28,plain, % 0.47/0.62 ($false), % 0.47/0.62 inference(scs_inference,[],[11,14,12,9,16,20,22]), % 0.47/0.62 ['proof']). % 0.47/0.62 % SZS output end Proof % 0.47/0.62 % Total time :0.000000s %------------------------------------------------------------------------------