%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET046+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n001.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 14:20:18 EDT 2024 % Result : Theorem 0.19s 0.60s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET046+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.32 % Computer : n001.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Sun Jun 23 11:33:24 EDT 2024 % 0.14/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.19/0.59 %------------------------------------------- % 0.19/0.59 % File :CSE---1.7 % 0.19/0.59 % Problem :theBenchmark % 0.19/0.59 % Transform :cnf % 0.19/0.59 % Format :tptp:raw % 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.19/0.59 % 0.19/0.59 % Result :Theorem 0.000000s % 0.19/0.59 % Output :CNFRefutation 0.000000s % 0.19/0.59 %------------------------------------------- % 0.19/0.59 %-------------------------------------------------------------------------- % 0.19/0.59 % File : SET046+1 : TPTP v8.2.0. Released v2.0.0. % 0.19/0.59 % Domain : Set Theory % 0.19/0.59 % Problem : No set of non-circular sets % 0.19/0.59 % Version : Especial. % 0.19/0.59 % English : A set is circular if it is a member of another set which % 0.19/0.59 % in turn is a member of the orginal. Intuitively all sets are % 0.19/0.59 % non-circular. Prove there is no set of non-circular sets. % 0.19/0.59 % 0.19/0.59 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.19/0.59 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.19/0.59 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.19/0.59 % Source : [Hah94] % 0.19/0.59 % Names : Pelletier 42 [Pel86] % 0.19/0.59 % 0.19/0.59 % Status : Theorem % 0.19/0.59 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0 % 0.19/0.59 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.19/0.59 % Number of atoms : 3 ( 0 equ) % 0.19/0.59 % Maximal formula atoms : 3 ( 3 avg) % 0.19/0.59 % Number of connectives : 4 ( 2 ~; 0 |; 1 &) % 0.19/0.59 % ( 1 <=>; 0 =>; 0 <=; 0 <~>) % 0.19/0.59 % Maximal formula depth : 8 ( 8 avg) % 0.19/0.59 % Maximal term depth : 1 ( 1 avg) % 0.19/0.59 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.19/0.59 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.19/0.59 % Number of variables : 3 ( 1 !; 2 ?) % 0.19/0.59 % SPC : FOF_THM_RFO_NEQ % 0.19/0.60 % 0.19/0.60 % Comments : % 0.19/0.60 %-------------------------------------------------------------------------- % 0.19/0.60 fof(pel42,conjecture, % 0.19/0.60 ~ ? [Y] : % 0.19/0.60 ! [X] : % 0.19/0.60 ( element(X,Y) % 0.19/0.60 <=> ~ ? [Z] : % 0.19/0.60 ( element(X,Z) % 0.19/0.60 & element(Z,X) ) ) ). % 0.19/0.60 % 0.19/0.60 %-------------------------------------------------------------------------- % 0.19/0.60 %------------------------------------------- % 0.19/0.60 % Proof found % 0.19/0.60 % SZS status Theorem for theBenchmark % 0.19/0.60 % SZS output start Proof % 0.19/0.60 %ClaNum:3(EqnAxiom:0) % 0.19/0.60 %VarNum:11(SingletonVarNum:4) % 0.19/0.60 %MaxLitNum:3 % 0.19/0.60 %MaxfuncDepth:1 % 0.19/0.60 %SharedTerms:1 % 0.19/0.60 %goalClause: 1 2 3 % 0.19/0.60 [1]P1(x11,f2(x11))+P1(x11,a1) % 0.19/0.60 [2]P1(f2(x21),x21)+P1(x21,a1) % 0.19/0.60 [3]~P1(x32,x31)+~P1(x31,x32)+~P1(x32,a1) % 0.19/0.60 %EqnAxiom % 0.19/0.60 % 0.19/0.60 %------------------------------------------- % 0.19/0.60 cnf(4,plain, % 0.19/0.60 (~P1(x41,x42)+~P1(x42,x41)+P1(x42,f2(x42))), % 0.19/0.60 inference(scs_inference,[],[1,3])). % 0.19/0.60 cnf(10,plain, % 0.19/0.60 (~P1(a1,x101)+P1(a1,f2(a1))+P1(x101,f2(x101))), % 0.19/0.60 inference(scs_inference,[],[1,4])). % 0.19/0.60 cnf(11,plain, % 0.19/0.60 (~P1(f2(a1),a1)+~P1(a1,a1)), % 0.19/0.60 inference(scs_inference,[],[10,3])). % 0.19/0.60 cnf(12,plain, % 0.19/0.60 (~P1(f2(a1),a1)+P1(a1,f2(a1))), % 0.19/0.60 inference(scs_inference,[],[11,1])). % 0.19/0.60 cnf(13,plain, % 0.19/0.60 (~P1(f2(a1),a1)), % 0.19/0.60 inference(scs_inference,[],[12,3])). % 0.19/0.60 cnf(19,plain, % 0.19/0.60 ($false), % 0.19/0.60 inference(scs_inference,[],[13,1,2,3]), % 0.19/0.60 ['proof']). % 0.19/0.60 % SZS output end Proof % 0.19/0.60 % Total time :0.000000s %------------------------------------------------------------------------------