%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET913+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 : n025.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 14:22:58 EDT 2024 % Result : Theorem 0.60s 0.66s % Output : CNFRefutation 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET913+1 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n025.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Jun 23 12:20:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.47/0.61 start to proof:theBenchmark % 0.60/0.65 %------------------------------------------- % 0.60/0.65 % File :CSE---1.7 % 0.60/0.65 % Problem :theBenchmark % 0.60/0.65 % Transform :cnf % 0.60/0.65 % Format :tptp:raw % 0.60/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.60/0.65 % 0.60/0.65 % Result :Theorem 0.000000s % 0.60/0.65 % Output :CNFRefutation 0.000000s % 0.60/0.65 %------------------------------------------- % 0.60/0.65 %------------------------------------------------------------------------------ % 0.60/0.65 % File : SET913+1 : TPTP v8.2.0. Released v3.2.0. % 0.60/0.65 % Domain : Set theory % 0.60/0.65 % Problem : ~ ( disjoint(singleton(A),B) & in(A,B) ) % 0.60/0.65 % Version : [Urb06] axioms : Especial. % 0.60/0.65 % English : % 0.60/0.65 % 0.60/0.65 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.60/0.65 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.60/0.65 % Source : [Urb06] % 0.60/0.65 % Names : zfmisc_1__t54_zfmisc_1 [Urb06] % 0.60/0.65 % 0.60/0.65 % Status : Theorem % 0.60/0.65 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.00 v3.2.0 % 0.60/0.65 % Syntax : Number of formulae : 6 ( 2 unt; 0 def) % 0.60/0.65 % Number of atoms : 10 ( 0 equ) % 0.60/0.65 % Maximal formula atoms : 2 ( 1 avg) % 0.60/0.65 % Number of connectives : 8 ( 4 ~; 0 |; 2 &) % 0.60/0.65 % ( 0 <=>; 2 =>; 0 <=; 0 <~>) % 0.60/0.65 % Maximal formula depth : 5 ( 4 avg) % 0.60/0.65 % Maximal term depth : 2 ( 1 avg) % 0.60/0.65 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty) % 0.60/0.65 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.60/0.65 % Number of variables : 10 ( 8 !; 2 ?) % 0.60/0.65 % SPC : FOF_THM_RFO_NEQ % 0.60/0.65 % 0.60/0.65 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.60/0.65 % library, www.mizar.org % 0.60/0.65 %------------------------------------------------------------------------------ % 0.60/0.65 fof(symmetry_r1_xboole_0,axiom, % 0.60/0.65 ! [A,B] : % 0.60/0.65 ( disjoint(A,B) % 0.60/0.65 => disjoint(B,A) ) ). % 0.60/0.66 % 0.60/0.66 fof(antisymmetry_r2_hidden,axiom, % 0.60/0.66 ! [A,B] : % 0.60/0.66 ( in(A,B) % 0.60/0.66 => ~ in(B,A) ) ). % 0.60/0.66 % 0.60/0.66 fof(rc1_xboole_0,axiom, % 0.60/0.66 ? [A] : empty(A) ). % 0.60/0.66 % 0.60/0.66 fof(rc2_xboole_0,axiom, % 0.60/0.66 ? [A] : ~ empty(A) ). % 0.60/0.66 % 0.60/0.66 fof(t54_zfmisc_1,conjecture, % 0.60/0.66 ! [A,B] : % 0.60/0.66 ~ ( disjoint(singleton(A),B) % 0.60/0.66 & in(A,B) ) ). % 0.60/0.66 % 0.60/0.66 fof(l25_zfmisc_1,axiom, % 0.60/0.66 ! [A,B] : % 0.60/0.66 ~ ( disjoint(singleton(A),B) % 0.60/0.66 & in(A,B) ) ). % 0.60/0.66 % 0.60/0.66 %------------------------------------------------------------------------------ % 0.60/0.66 %------------------------------------------- % 0.60/0.66 % Proof found % 0.60/0.66 % SZS status Theorem for theBenchmark % 0.60/0.66 % SZS output start Proof % 0.60/0.66 %ClaNum:7(EqnAxiom:0) % 0.60/0.66 %VarNum:12(SingletonVarNum:6) % 0.60/0.66 %MaxLitNum:2 % 0.60/0.66 %MaxfuncDepth:1 % 0.60/0.66 %SharedTerms:9 % 0.60/0.66 %goalClause: 2 3 % 0.60/0.66 %singleGoalClaCount:2 % 0.60/0.66 [1]P1(a1) % 0.60/0.66 [2]P3(a2,a4) % 0.60/0.66 [4]~P1(a3) % 0.60/0.66 [3]P2(f5(a2),a4) % 0.60/0.66 [5]~P2(x52,x51)+P2(x51,x52) % 0.60/0.66 [6]~P3(x62,x61)+~P3(x61,x62) % 0.60/0.66 [7]~P3(x71,x72)+~P2(f5(x71),x72) % 0.60/0.66 %EqnAxiom % 0.60/0.66 % 0.60/0.66 %------------------------------------------- % 0.60/0.66 cnf(8,plain, % 0.60/0.66 ($false), % 0.60/0.66 inference(scs_inference,[],[2,3,7]), % 0.60/0.66 ['proof']). % 0.60/0.66 % SZS output end Proof % 0.60/0.66 % Total time :0.000000s %------------------------------------------------------------------------------