%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU139+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 : n028.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 15:01:15 EDT 2024 % Result : Theorem 0.55s 0.61s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU139+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n028.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 13:58:39 EDT 2024 % 0.13/0.33 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 0.55/0.61 %------------------------------------------- % 0.55/0.61 % File :CSE---1.7 % 0.55/0.61 % Problem :theBenchmark % 0.55/0.61 % Transform :cnf % 0.55/0.61 % Format :tptp:raw % 0.55/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.61 % 0.55/0.61 % Result :Theorem 0.000000s % 0.55/0.61 % Output :CNFRefutation 0.000000s % 0.55/0.61 %------------------------------------------- % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 % File : SEU139+1 : TPTP v8.2.0. Released v3.3.0. % 0.55/0.61 % Domain : Set theory % 0.55/0.61 % Problem : MPTP bushy problem t60_xboole_1 % 0.55/0.61 % Version : [Urb07] axioms : Especial. % 0.55/0.61 % English : % 0.55/0.61 % 0.55/0.61 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.55/0.61 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.55/0.61 % Source : [Urb07] % 0.55/0.61 % Names : bushy-t60_xboole_1 [Urb07] % 0.55/0.61 % 0.55/0.61 % Status : Theorem % 0.55/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.04 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0 % 0.55/0.61 % Syntax : Number of formulae : 6 ( 2 unt; 0 def) % 0.55/0.61 % Number of atoms : 12 ( 2 equ) % 0.55/0.61 % Maximal formula atoms : 3 ( 2 avg) % 0.55/0.61 % Number of connectives : 10 ( 4 ~; 0 |; 3 &) % 0.55/0.61 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.55/0.61 % Maximal formula depth : 6 ( 5 avg) % 0.55/0.61 % Maximal term depth : 1 ( 1 avg) % 0.55/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty) % 0.55/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.55/0.61 % Number of variables : 12 ( 12 !; 0 ?) % 0.55/0.61 % SPC : FOF_THM_EPR_SEQ % 0.55/0.61 % 0.55/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.55/0.61 % library, www.mizar.org % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 fof(antisymmetry_r2_xboole_0,axiom, % 0.55/0.61 ! [A,B] : % 0.55/0.61 ( proper_subset(A,B) % 0.55/0.61 => ~ proper_subset(B,A) ) ). % 0.55/0.61 % 0.55/0.61 fof(d10_xboole_0,axiom, % 0.55/0.61 ! [A,B] : % 0.55/0.61 ( A = B % 0.55/0.61 <=> ( subset(A,B) % 0.55/0.61 & subset(B,A) ) ) ). % 0.55/0.61 % 0.55/0.61 fof(d8_xboole_0,axiom, % 0.55/0.61 ! [A,B] : % 0.55/0.61 ( proper_subset(A,B) % 0.55/0.61 <=> ( subset(A,B) % 0.55/0.61 & A != B ) ) ). % 0.55/0.61 % 0.55/0.61 fof(irreflexivity_r2_xboole_0,axiom, % 0.55/0.61 ! [A,B] : ~ proper_subset(A,A) ). % 0.55/0.61 % 0.55/0.61 fof(reflexivity_r1_tarski,axiom, % 0.55/0.61 ! [A,B] : subset(A,A) ). % 0.55/0.61 % 0.55/0.61 fof(t60_xboole_1,conjecture, % 0.55/0.61 ! [A,B] : % 0.55/0.61 ~ ( subset(A,B) % 0.55/0.61 & proper_subset(B,A) ) ). % 0.55/0.61 % 0.55/0.61 %------------------------------------------------------------------------------ % 0.55/0.61 %------------------------------------------- % 0.55/0.61 % Proof found % 0.55/0.61 % SZS status Theorem for theBenchmark % 0.55/0.61 % SZS output start Proof % 0.55/0.61 %ClaNum:18(EqnAxiom:7) % 0.55/0.61 %VarNum:32(SingletonVarNum:14) % 0.55/0.61 %MaxLitNum:3 % 0.55/0.61 %MaxfuncDepth:0 % 0.55/0.61 %SharedTerms:4 % 0.55/0.61 %goalClause: 8 9 % 0.55/0.61 %singleGoalClaCount:2 % 0.55/0.61 [8]P1(a1,a2) % 0.55/0.61 [9]P2(a2,a1) % 0.55/0.61 [10]P2(x101,x101) % 0.55/0.61 [11]~P1(x111,x111) % 0.55/0.61 [13]~E(x131,x132)+P2(x131,x132) % 0.55/0.61 [14]~P1(x141,x142)+~E(x141,x142) % 0.55/0.61 [15]~P1(x151,x152)+P2(x151,x152) % 0.57/0.61 [17]~P1(x172,x171)+~P1(x171,x172) % 0.57/0.61 [16]P1(x161,x162)+~P2(x161,x162)+E(x161,x162) % 0.57/0.61 [18]~P2(x182,x181)+~P2(x181,x182)+E(x181,x182) % 0.57/0.61 %EqnAxiom % 0.57/0.61 [1]E(x11,x11) % 0.57/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.57/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.57/0.61 [4]P1(x42,x43)+~E(x41,x42)+~P1(x41,x43) % 0.57/0.61 [5]P1(x53,x52)+~E(x51,x52)+~P1(x53,x51) % 0.57/0.61 [6]P2(x62,x63)+~E(x61,x62)+~P2(x61,x63) % 0.57/0.61 [7]P2(x73,x72)+~E(x71,x72)+~P2(x73,x71) % 0.57/0.61 % 0.57/0.61 %------------------------------------------- % 0.57/0.62 cnf(26,plain, % 0.57/0.62 (~P1(x261,x261)), % 0.57/0.62 inference(rename_variables,[],[11])). % 0.57/0.62 cnf(27,plain, % 0.57/0.62 ($false), % 0.57/0.62 inference(scs_inference,[],[8,9,11,26,17,16,4,5]), % 0.57/0.62 ['proof']). % 0.57/0.62 % SZS output end Proof % 0.57/0.62 % Total time :0.000000s %------------------------------------------------------------------------------