%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU150+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 : 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 15:01:21 EDT 2024 % Result : Theorem 0.54s 0.61s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU150+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 : 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 13:38:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.58 start to proof:theBenchmark % 0.54/0.61 %------------------------------------------- % 0.54/0.61 % File :CSE---1.7 % 0.54/0.61 % Problem :theBenchmark % 0.54/0.61 % Transform :cnf % 0.54/0.61 % Format :tptp:raw % 0.54/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.61 % 0.54/0.61 % Result :Theorem 0.000000s % 0.54/0.61 % Output :CNFRefutation 0.000000s % 0.54/0.61 %------------------------------------------- % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 % File : SEU150+1 : TPTP v8.2.0. Released v3.3.0. % 0.54/0.61 % Domain : Set theory % 0.54/0.61 % Problem : MPTP bushy problem t9_zfmisc_1 % 0.54/0.61 % Version : [Urb07] axioms : Especial. % 0.54/0.61 % English : % 0.54/0.61 % 0.54/0.61 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.54/0.61 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.54/0.61 % Source : [Urb07] % 0.54/0.61 % Names : bushy-t9_zfmisc_1 [Urb07] % 0.54/0.61 % 0.54/0.61 % Status : Theorem % 0.54/0.61 % Rating : 0.06 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.3.0 % 0.54/0.61 % Syntax : Number of formulae : 5 ( 3 unt; 0 def) % 0.54/0.61 % Number of atoms : 7 ( 5 equ) % 0.54/0.61 % Maximal formula atoms : 2 ( 1 avg) % 0.54/0.61 % Number of connectives : 2 ( 0 ~; 0 |; 0 &) % 0.54/0.61 % ( 0 <=>; 2 =>; 0 <=; 0 <~>) % 0.54/0.61 % Maximal formula depth : 5 ( 3 avg) % 0.54/0.61 % Maximal term depth : 2 ( 1 avg) % 0.54/0.61 % Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty) % 0.54/0.61 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.54/0.61 % Number of variables : 8 ( 8 !; 0 ?) % 0.54/0.61 % SPC : FOF_THM_RFO_SEQ % 0.54/0.61 % 0.54/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.54/0.61 % library, www.mizar.org % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 fof(commutativity_k2_tarski,axiom, % 0.54/0.61 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.54/0.61 % 0.54/0.61 fof(dt_k1_tarski,axiom, % 0.54/0.61 $true ). % 0.54/0.61 % 0.54/0.61 fof(dt_k2_tarski,axiom, % 0.54/0.61 $true ). % 0.54/0.61 % 0.54/0.61 fof(t8_zfmisc_1,axiom, % 0.54/0.61 ! [A,B,C] : % 0.54/0.61 ( singleton(A) = unordered_pair(B,C) % 0.54/0.61 => A = B ) ). % 0.54/0.61 % 0.54/0.61 fof(t9_zfmisc_1,conjecture, % 0.54/0.61 ! [A,B,C] : % 0.54/0.61 ( singleton(A) = unordered_pair(B,C) % 0.54/0.61 => B = C ) ). % 0.54/0.61 % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 %------------------------------------------- % 0.54/0.61 % Proof found % 0.54/0.61 % SZS status Theorem for theBenchmark % 0.54/0.61 % SZS output start Proof % 0.54/0.62 %ClaNum:10(EqnAxiom:6) % 0.54/0.62 %VarNum:9(SingletonVarNum:5) % 0.54/0.62 %MaxLitNum:2 % 0.54/0.62 %MaxfuncDepth:1 % 0.54/0.62 %SharedTerms:7 % 0.54/0.62 %goalClause: 7 9 % 0.54/0.62 %singleGoalClaCount:2 % 0.54/0.62 [9]~E(a3,a1) % 0.54/0.62 [7]E(f4(a1,a3),f5(a2)) % 0.54/0.62 [8]E(f4(x81,x82),f4(x82,x81)) % 0.54/0.62 [10]E(x101,x102)+~E(f5(x101),f4(x102,x103)) % 0.54/0.62 %EqnAxiom % 0.54/0.62 [1]E(x11,x11) % 0.54/0.62 [2]E(x22,x21)+~E(x21,x22) % 0.54/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.54/0.62 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43)) % 0.54/0.62 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52)) % 0.54/0.62 [6]~E(x61,x62)+E(f5(x61),f5(x62)) % 0.54/0.62 % 0.54/0.62 %------------------------------------------- % 0.54/0.62 cnf(12,plain, % 0.54/0.62 (E(a2,a1)), % 0.54/0.62 inference(scs_inference,[],[7,2,10])). % 0.54/0.62 cnf(14,plain, % 0.54/0.62 (E(f4(a3,a1),f5(a2))), % 0.54/0.62 inference(scs_inference,[],[7,8,2,10,3])). % 0.54/0.62 cnf(17,plain, % 0.54/0.62 (~E(a3,a2)), % 0.54/0.62 inference(scs_inference,[],[9,14,12,2,3])). % 0.54/0.62 cnf(18,plain, % 0.54/0.62 (E(a2,a3)), % 0.54/0.62 inference(scs_inference,[],[9,14,12,2,3,10])). % 0.54/0.62 cnf(20,plain, % 0.54/0.62 ($false), % 0.54/0.62 inference(scs_inference,[],[18,17,2]), % 0.54/0.62 ['proof']). % 0.54/0.62 % SZS output end Proof % 0.54/0.62 % Total time :0.000000s %------------------------------------------------------------------------------