%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU158+3 : 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 : n024.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 15:01:25 EDT 2024 % Result : Theorem 0.51s 0.61s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU158+3 : 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 : n024.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 12:25:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.57 start to proof:theBenchmark % 0.51/0.61 %------------------------------------------- % 0.51/0.61 % File :CSE---1.7 % 0.51/0.61 % Problem :theBenchmark % 0.51/0.61 % Transform :cnf % 0.51/0.61 % Format :tptp:raw % 0.51/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.51/0.61 % 0.51/0.61 % Result :Theorem 0.000000s % 0.51/0.61 % Output :CNFRefutation 0.000000s % 0.51/0.61 %------------------------------------------- % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 % File : SEU158+3 : TPTP v8.2.0. Released v3.2.0. % 0.51/0.61 % Domain : Set theory % 0.51/0.61 % Problem : Basic properties of sets, theorem 37 % 0.51/0.61 % Version : [Urb06] axioms : Especial. % 0.51/0.61 % English : % 0.51/0.61 % 0.51/0.61 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.51/0.61 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.51/0.61 % Source : [Urb06] % 0.51/0.61 % Names : zfmisc_1__t37_zfmisc_1 [Urb06] % 0.51/0.61 % 0.51/0.61 % Status : Theorem % 0.51/0.61 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v3.2.0 % 0.51/0.61 % Syntax : Number of formulae : 6 ( 3 unt; 0 def) % 0.51/0.61 % Number of atoms : 9 ( 0 equ) % 0.51/0.61 % Maximal formula atoms : 2 ( 1 avg) % 0.51/0.61 % Number of connectives : 5 ( 2 ~; 0 |; 0 &) % 0.51/0.61 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.51/0.61 % Maximal formula depth : 5 ( 4 avg) % 0.51/0.61 % Maximal term depth : 2 ( 1 avg) % 0.51/0.61 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty) % 0.51/0.61 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.51/0.61 % Number of variables : 10 ( 8 !; 2 ?) % 0.51/0.61 % SPC : FOF_THM_RFO_NEQ % 0.51/0.61 % 0.51/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.51/0.61 % library, www.mizar.org % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 fof(reflexivity_r1_tarski,axiom, % 0.51/0.61 ! [A,B] : subset(A,A) ). % 0.51/0.61 % 0.51/0.61 fof(antisymmetry_r2_hidden,axiom, % 0.51/0.61 ! [A,B] : % 0.51/0.61 ( in(A,B) % 0.51/0.61 => ~ in(B,A) ) ). % 0.51/0.61 % 0.51/0.61 fof(rc1_xboole_0,axiom, % 0.51/0.61 ? [A] : empty(A) ). % 0.51/0.61 % 0.51/0.61 fof(rc2_xboole_0,axiom, % 0.51/0.61 ? [A] : ~ empty(A) ). % 0.51/0.61 % 0.51/0.61 fof(t37_zfmisc_1,conjecture, % 0.51/0.61 ! [A,B] : % 0.51/0.61 ( subset(singleton(A),B) % 0.51/0.61 <=> in(A,B) ) ). % 0.51/0.61 % 0.51/0.61 fof(l2_zfmisc_1,axiom, % 0.51/0.61 ! [A,B] : % 0.51/0.61 ( subset(singleton(A),B) % 0.51/0.61 <=> in(A,B) ) ). % 0.51/0.61 % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 %------------------------------------------- % 0.51/0.61 % Proof found % 0.51/0.61 % SZS status Theorem for theBenchmark % 0.51/0.61 % SZS output start Proof % 0.51/0.61 %ClaNum:8(EqnAxiom:0) % 0.51/0.61 %VarNum:14(SingletonVarNum:7) % 0.51/0.61 %MaxLitNum:2 % 0.51/0.61 %MaxfuncDepth:1 % 0.51/0.61 %SharedTerms:11 % 0.51/0.61 %goalClause: 4 5 % 0.51/0.61 [1]P1(a1) % 0.51/0.61 [3]~P1(a2) % 0.51/0.61 [2]P2(x21,x21) % 0.51/0.61 [4]P3(a3,a4)+P2(f5(a3),a4) % 0.51/0.61 [5]~P3(a3,a4)+~P2(f5(a3),a4) % 0.51/0.61 [7]~P3(x72,x71)+~P3(x71,x72) % 0.51/0.61 [6]~P3(x61,x62)+P2(f5(x61),x62) % 0.51/0.61 [8]P3(x81,x82)+~P2(f5(x81),x82) % 0.51/0.61 %EqnAxiom % 0.51/0.61 % 0.51/0.61 %------------------------------------------- % 0.51/0.61 cnf(15,plain, % 0.51/0.61 (P2(f5(a3),a4)), % 0.51/0.61 inference(scs_inference,[],[6,4])). % 0.51/0.61 cnf(16,plain, % 0.51/0.61 (~P3(a3,a4)), % 0.51/0.61 inference(scs_inference,[],[15,5])). % 0.51/0.61 cnf(17,plain, % 0.51/0.61 (P3(a3,a4)), % 0.51/0.61 inference(scs_inference,[],[15,8])). % 0.51/0.61 cnf(21,plain, % 0.51/0.61 ($false), % 0.51/0.61 inference(scs_inference,[],[16,17]), % 0.51/0.61 ['proof']). % 0.51/0.61 % SZS output end Proof % 0.51/0.61 % Total time :0.000000s %------------------------------------------------------------------------------