%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU158+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 : n027.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 15:01:24 EDT 2024 % Result : Theorem 0.46s 0.60s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU158+1 : TPTP v8.2.0. Released v3.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n027.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 13:12:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.46/0.56 start to proof:theBenchmark % 0.46/0.60 %------------------------------------------- % 0.46/0.60 % File :CSE---1.7 % 0.46/0.60 % Problem :theBenchmark % 0.46/0.60 % Transform :cnf % 0.46/0.60 % Format :tptp:raw % 0.46/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.46/0.60 % 0.46/0.60 % Result :Theorem 0.000000s % 0.46/0.60 % Output :CNFRefutation 0.000000s % 0.46/0.60 %------------------------------------------- % 0.46/0.60 %------------------------------------------------------------------------------ % 0.46/0.60 % File : SEU158+1 : TPTP v8.2.0. Released v3.3.0. % 0.46/0.60 % Domain : Set theory % 0.46/0.60 % Problem : MPTP bushy problem t37_zfmisc_1 % 0.46/0.60 % Version : [Urb07] axioms : Especial. % 0.46/0.60 % English : % 0.46/0.60 % 0.46/0.60 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.46/0.60 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.46/0.60 % Source : [Urb07] % 0.46/0.60 % Names : bushy-t37_zfmisc_1 [Urb07] % 0.46/0.60 % 0.46/0.60 % Status : Theorem % 0.46/0.60 % 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 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0 % 0.46/0.60 % Syntax : Number of formulae : 5 ( 2 unt; 0 def) % 0.46/0.60 % Number of atoms : 8 ( 0 equ) % 0.46/0.60 % Maximal formula atoms : 2 ( 1 avg) % 0.46/0.60 % Number of connectives : 4 ( 1 ~; 0 |; 0 &) % 0.46/0.60 % ( 2 <=>; 1 =>; 0 <=; 0 <~>) % 0.46/0.60 % Maximal formula depth : 5 ( 3 avg) % 0.46/0.60 % Maximal term depth : 2 ( 1 avg) % 0.46/0.60 % Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty) % 0.46/0.60 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.46/0.60 % Number of variables : 8 ( 8 !; 0 ?) % 0.46/0.60 % SPC : FOF_THM_RFO_NEQ % 0.46/0.60 % 0.46/0.60 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.46/0.60 % library, www.mizar.org % 0.46/0.60 %------------------------------------------------------------------------------ % 0.46/0.60 fof(reflexivity_r1_tarski,axiom, % 0.46/0.60 ! [A,B] : subset(A,A) ). % 0.46/0.60 % 0.46/0.60 fof(antisymmetry_r2_hidden,axiom, % 0.46/0.60 ! [A,B] : % 0.46/0.60 ( in(A,B) % 0.46/0.60 => ~ in(B,A) ) ). % 0.46/0.60 % 0.46/0.60 fof(dt_k1_tarski,axiom, % 0.46/0.60 $true ). % 0.46/0.60 % 0.46/0.60 fof(t37_zfmisc_1,conjecture, % 0.46/0.60 ! [A,B] : % 0.46/0.60 ( subset(singleton(A),B) % 0.46/0.60 <=> in(A,B) ) ). % 0.46/0.60 % 0.46/0.60 fof(l2_zfmisc_1,axiom, % 0.46/0.60 ! [A,B] : % 0.46/0.60 ( subset(singleton(A),B) % 0.46/0.60 <=> in(A,B) ) ). % 0.46/0.60 % 0.46/0.60 %------------------------------------------------------------------------------ % 0.46/0.60 %------------------------------------------- % 0.46/0.60 % Proof found % 0.46/0.60 % SZS status Theorem for theBenchmark % 0.46/0.60 % SZS output start Proof % 0.46/0.60 %ClaNum:6(EqnAxiom:0) % 0.46/0.60 %VarNum:14(SingletonVarNum:7) % 0.46/0.60 %MaxLitNum:2 % 0.46/0.60 %MaxfuncDepth:1 % 0.46/0.60 %SharedTerms:7 % 0.46/0.60 %goalClause: 2 3 % 0.46/0.60 [1]P1(x11,x11) % 0.46/0.60 [2]P2(a1,a2)+P1(f3(a1),a2) % 0.46/0.60 [3]~P2(a1,a2)+~P1(f3(a1),a2) % 0.46/0.60 [5]~P2(x52,x51)+~P2(x51,x52) % 0.46/0.60 [4]~P2(x41,x42)+P1(f3(x41),x42) % 0.46/0.60 [6]P2(x61,x62)+~P1(f3(x61),x62) % 0.46/0.60 %EqnAxiom % 0.46/0.60 % 0.46/0.60 %------------------------------------------- % 0.46/0.61 cnf(13,plain, % 0.46/0.61 (P1(f3(a1),a2)), % 0.46/0.61 inference(scs_inference,[],[4,2])). % 0.46/0.61 cnf(14,plain, % 0.46/0.61 (~P2(a1,a2)), % 0.46/0.61 inference(scs_inference,[],[13,3])). % 0.46/0.61 cnf(15,plain, % 0.46/0.61 (P2(a1,a2)), % 0.46/0.61 inference(scs_inference,[],[13,6])). % 0.46/0.61 cnf(19,plain, % 0.46/0.61 ($false), % 0.46/0.61 inference(scs_inference,[],[14,15]), % 0.46/0.61 ['proof']). % 0.46/0.61 % SZS output end Proof % 0.46/0.61 % Total time :0.000000s %------------------------------------------------------------------------------