%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU122+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 : 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 0.19s 0.61s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU122+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.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 16:35:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.57 start to proof:theBenchmark % 0.19/0.60 %------------------------------------------- % 0.19/0.60 % File :CSE---1.7 % 0.19/0.60 % Problem :theBenchmark % 0.19/0.60 % Transform :cnf % 0.19/0.60 % Format :tptp:raw % 0.19/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.19/0.60 % 0.19/0.60 % Result :Theorem 0.000000s % 0.19/0.60 % Output :CNFRefutation 0.000000s % 0.19/0.60 %------------------------------------------- % 0.19/0.60 %------------------------------------------------------------------------------ % 0.19/0.60 % File : SEU122+1 : TPTP v8.2.0. Released v3.3.0. % 0.19/0.60 % Domain : Set theory % 0.19/0.60 % Problem : MPTP bushy problem t2_xboole_1 % 0.19/0.60 % Version : [Urb07] axioms : Especial. % 0.19/0.61 % English : % 0.19/0.61 % 0.19/0.61 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.19/0.61 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.19/0.61 % Source : [Urb07] % 0.19/0.61 % Names : bushy-t2_xboole_1 [Urb07] % 0.19/0.61 % 0.19/0.61 % Status : Theorem % 0.19/0.61 % Rating : 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.04 v6.1.0, 0.03 v6.0.0, 0.04 v5.5.0, 0.00 v5.4.0, 0.04 v5.3.0, 0.07 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.00 v3.3.0 % 0.19/0.61 % Syntax : Number of formulae : 11 ( 6 unt; 0 def) % 0.19/0.61 % Number of atoms : 18 ( 2 equ) % 0.19/0.61 % Maximal formula atoms : 3 ( 1 avg) % 0.19/0.61 % Number of connectives : 12 ( 5 ~; 0 |; 3 &) % 0.19/0.61 % ( 1 <=>; 3 =>; 0 <=; 0 <~>) % 0.19/0.61 % Maximal formula depth : 7 ( 3 avg) % 0.19/0.61 % Maximal term depth : 1 ( 1 avg) % 0.19/0.61 % Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty) % 0.19/0.61 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.19/0.61 % Number of variables : 15 ( 13 !; 2 ?) % 0.19/0.61 % SPC : FOF_THM_RFO_SEQ % 0.19/0.61 % 0.19/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.19/0.61 % library, www.mizar.org % 0.19/0.61 %------------------------------------------------------------------------------ % 0.19/0.61 fof(antisymmetry_r2_hidden,axiom, % 0.19/0.61 ! [A,B] : % 0.19/0.61 ( in(A,B) % 0.19/0.61 => ~ in(B,A) ) ). % 0.19/0.61 % 0.19/0.61 fof(d3_tarski,axiom, % 0.19/0.61 ! [A,B] : % 0.19/0.61 ( subset(A,B) % 0.19/0.61 <=> ! [C] : % 0.19/0.61 ( in(C,A) % 0.19/0.61 => in(C,B) ) ) ). % 0.19/0.61 % 0.19/0.61 fof(dt_k1_xboole_0,axiom, % 0.19/0.61 $true ). % 0.19/0.61 % 0.19/0.61 fof(fc1_xboole_0,axiom, % 0.19/0.61 empty(empty_set) ). % 0.19/0.61 % 0.19/0.61 fof(rc1_xboole_0,axiom, % 0.19/0.61 ? [A] : empty(A) ). % 0.19/0.61 % 0.19/0.61 fof(rc2_xboole_0,axiom, % 0.19/0.61 ? [A] : ~ empty(A) ). % 0.19/0.61 % 0.19/0.61 fof(reflexivity_r1_tarski,axiom, % 0.19/0.61 ! [A,B] : subset(A,A) ). % 0.19/0.61 % 0.19/0.61 fof(t2_xboole_1,conjecture, % 0.19/0.61 ! [A] : subset(empty_set,A) ). % 0.19/0.61 % 0.19/0.61 fof(t6_boole,axiom, % 0.19/0.61 ! [A] : % 0.19/0.61 ( empty(A) % 0.19/0.61 => A = empty_set ) ). % 0.19/0.61 % 0.19/0.61 fof(t7_boole,axiom, % 0.19/0.61 ! [A,B] : % 0.19/0.61 ~ ( in(A,B) % 0.19/0.61 & empty(B) ) ). % 0.19/0.61 % 0.19/0.61 fof(t8_boole,axiom, % 0.19/0.61 ! [A,B] : % 0.19/0.61 ~ ( empty(A) % 0.19/0.61 & A != B % 0.19/0.61 & empty(B) ) ). % 0.19/0.61 % 0.19/0.61 %------------------------------------------------------------------------------ % 0.19/0.61 %------------------------------------------- % 0.19/0.61 % Proof found % 0.19/0.61 % SZS status Theorem for theBenchmark % 0.19/0.61 % SZS output start Proof % 0.19/0.61 %ClaNum:22(EqnAxiom:10) % 0.19/0.61 %VarNum:31(SingletonVarNum:15) % 0.19/0.61 %MaxLitNum:3 % 0.19/0.61 %MaxfuncDepth:1 % 0.19/0.61 %SharedTerms:8 % 0.19/0.61 %goalClause: 15 % 0.19/0.61 %singleGoalClaCount:1 % 0.19/0.61 [11]P1(a1) % 0.19/0.61 [12]P1(a2) % 0.19/0.61 [14]~P1(a4) % 0.19/0.61 [15]~P2(a1,a5) % 0.19/0.61 [13]P2(x131,x131) % 0.19/0.61 [16]~P1(x161)+E(x161,a1) % 0.19/0.61 [18]~P1(x181)+~P3(x182,x181) % 0.19/0.61 [19]~P3(x192,x191)+~P3(x191,x192) % 0.19/0.61 [20]P2(x201,x202)+P3(f3(x201,x202),x201) % 0.19/0.61 [22]P2(x221,x222)+~P3(f3(x221,x222),x222) % 0.19/0.61 [17]~P1(x172)+~P1(x171)+E(x171,x172) % 0.19/0.61 [21]~P2(x213,x212)+P3(x211,x212)+~P3(x211,x213) % 0.19/0.61 %EqnAxiom % 0.19/0.61 [1]E(x11,x11) % 0.19/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.19/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.19/0.61 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.19/0.61 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.19/0.61 [6]~P1(x61)+P1(x62)+~E(x61,x62) % 0.19/0.61 [7]P3(x72,x73)+~E(x71,x72)+~P3(x71,x73) % 0.19/0.61 [8]P3(x83,x82)+~E(x81,x82)+~P3(x83,x81) % 0.19/0.61 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93) % 0.19/0.61 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101) % 0.19/0.61 % 0.19/0.61 %------------------------------------------- % 0.19/0.61 cnf(26,plain, % 0.19/0.61 (P2(x261,x261)), % 0.19/0.61 inference(rename_variables,[],[13])). % 0.19/0.61 cnf(31,plain, % 0.19/0.61 ($false), % 0.19/0.61 inference(scs_inference,[],[15,13,26,11,18,9,10,17,20]), % 0.19/0.61 ['proof']). % 0.19/0.61 % SZS output end Proof % 0.19/0.61 % Total time :0.000000s %------------------------------------------------------------------------------