%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET899+1 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 14:22:55 EDT 2024 % Result : Theorem 0.58s 0.67s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.15 % Problem : SET899+1 : TPTP v8.2.0. Released v3.2.0. % 0.09/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.15/0.37 % Computer : n029.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Sun Jun 23 12:24:24 EDT 2024 % 0.15/0.37 % CPUTime : % 0.48/0.64 start to proof:theBenchmark % 0.58/0.66 %------------------------------------------- % 0.58/0.66 % File :CSE---1.7 % 0.58/0.66 % Problem :theBenchmark % 0.58/0.66 % Transform :cnf % 0.58/0.66 % Format :tptp:raw % 0.58/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.66 % 0.58/0.66 % Result :Theorem 0.000000s % 0.58/0.66 % Output :CNFRefutation 0.000000s % 0.58/0.66 %------------------------------------------- % 0.58/0.66 %------------------------------------------------------------------------------ % 0.58/0.66 % File : SET899+1 : TPTP v8.2.0. Released v3.2.0. % 0.58/0.66 % Domain : Set theory % 0.58/0.66 % Problem : subset(A,B) => ( in(C,A) | subset(A,difference(B,singleton(C))) ) % 0.58/0.66 % Version : [Urb06] axioms : Especial. % 0.58/0.67 % English : % 0.58/0.67 % 0.58/0.67 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.58/0.67 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.58/0.67 % Source : [Urb06] % 0.58/0.67 % Names : zfmisc_1__t40_zfmisc_1 [Urb06] % 0.58/0.67 % 0.58/0.67 % Status : Theorem % 0.58/0.67 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0 % 0.58/0.67 % Syntax : Number of formulae : 6 ( 3 unt; 0 def) % 0.58/0.67 % Number of atoms : 11 ( 0 equ) % 0.58/0.67 % Maximal formula atoms : 3 ( 1 avg) % 0.58/0.67 % Number of connectives : 7 ( 2 ~; 2 |; 0 &) % 0.58/0.67 % ( 0 <=>; 3 =>; 0 <=; 0 <~>) % 0.58/0.67 % Maximal formula depth : 6 ( 4 avg) % 0.58/0.67 % Maximal term depth : 3 ( 1 avg) % 0.58/0.67 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty) % 0.58/0.67 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.58/0.67 % Number of variables : 12 ( 10 !; 2 ?) % 0.58/0.67 % SPC : FOF_THM_RFO_NEQ % 0.58/0.67 % 0.58/0.67 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.58/0.67 % library, www.mizar.org % 0.58/0.67 %------------------------------------------------------------------------------ % 0.58/0.67 fof(reflexivity_r1_tarski,axiom, % 0.58/0.67 ! [A,B] : subset(A,A) ). % 0.58/0.67 % 0.58/0.67 fof(antisymmetry_r2_hidden,axiom, % 0.58/0.67 ! [A,B] : % 0.58/0.67 ( in(A,B) % 0.58/0.67 => ~ in(B,A) ) ). % 0.58/0.67 % 0.58/0.67 fof(rc1_xboole_0,axiom, % 0.58/0.67 ? [A] : empty(A) ). % 0.58/0.67 % 0.58/0.67 fof(rc2_xboole_0,axiom, % 0.58/0.67 ? [A] : ~ empty(A) ). % 0.58/0.67 % 0.58/0.67 fof(t40_zfmisc_1,conjecture, % 0.58/0.67 ! [A,B,C] : % 0.58/0.67 ( subset(A,B) % 0.58/0.67 => ( in(C,A) % 0.58/0.67 | subset(A,set_difference(B,singleton(C))) ) ) ). % 0.58/0.67 % 0.58/0.67 fof(l3_zfmisc_1,axiom, % 0.58/0.67 ! [A,B,C] : % 0.58/0.67 ( subset(A,B) % 0.58/0.67 => ( in(C,A) % 0.58/0.67 | subset(A,set_difference(B,singleton(C))) ) ) ). % 0.58/0.67 % 0.58/0.67 %------------------------------------------------------------------------------ % 0.58/0.67 %------------------------------------------- % 0.58/0.67 % Proof found % 0.58/0.67 % SZS status Theorem for theBenchmark % 0.58/0.67 % SZS output start Proof % 0.58/0.67 %ClaNum:8(EqnAxiom:0) % 0.58/0.67 %VarNum:13(SingletonVarNum:6) % 0.58/0.67 %MaxLitNum:3 % 0.58/0.67 %MaxfuncDepth:2 % 0.58/0.67 %SharedTerms:12 % 0.58/0.67 %goalClause: 2 5 6 % 0.58/0.67 %singleGoalClaCount:3 % 0.58/0.67 [1]P1(a1) % 0.58/0.67 [2]P2(a2,a4) % 0.58/0.67 [4]~P1(a3) % 0.58/0.67 [5]~P3(a5,a2) % 0.58/0.67 [6]~P2(a2,f7(a4,f6(a5))) % 0.58/0.67 [3]P2(x31,x31) % 0.58/0.67 [7]~P3(x72,x71)+~P3(x71,x72) % 0.58/0.67 [8]~P2(x82,x83)+P3(x81,x82)+P2(x82,f7(x83,f6(x81))) % 0.58/0.67 %EqnAxiom % 0.58/0.67 % 0.58/0.67 %------------------------------------------- % 0.58/0.67 cnf(9,plain, % 0.58/0.67 ($false), % 0.58/0.67 inference(scs_inference,[],[2,5,6,8]), % 0.58/0.67 ['proof']). % 0.58/0.67 % SZS output end Proof % 0.58/0.67 % Total time :0.000000s %------------------------------------------------------------------------------