%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU150+3 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 15:01:21 EDT 2024 % Result : Theorem 0.60s 0.67s % Output : CNFRefutation 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SEU150+3 : TPTP v8.2.0. Released v3.2.0. % 0.09/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.14/0.36 % Computer : n025.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Jun 21 14:17:09 EDT 2024 % 0.14/0.36 % CPUTime : % 0.59/0.62 start to proof:theBenchmark % 0.60/0.66 %------------------------------------------- % 0.60/0.66 % File :CSE---1.7 % 0.60/0.66 % Problem :theBenchmark % 0.60/0.66 % Transform :cnf % 0.60/0.66 % Format :tptp:raw % 0.60/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.60/0.66 % 0.60/0.66 % Result :Theorem 0.000000s % 0.60/0.66 % Output :CNFRefutation 0.000000s % 0.60/0.66 %------------------------------------------- % 0.60/0.66 %------------------------------------------------------------------------------ % 0.60/0.66 % File : SEU150+3 : TPTP v8.2.0. Released v3.2.0. % 0.60/0.66 % Domain : Set theory % 0.60/0.66 % Problem : Basic properties of sets, theorem % 0.60/0.66 % Version : [Urb06] axioms : Especial. % 0.60/0.66 % English : % 0.60/0.66 % 0.60/0.66 % Refs : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.60/0.66 % Source : [Urb06] % 0.60/0.66 % Names : zfmisc_1__t9_zfmisc_1 [Urb06] % 0.60/0.66 % 0.60/0.66 % Status : Theorem % 0.60/0.66 % 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, 0.17 v6.0.0, 0.09 v5.5.0, 0.07 v5.3.0, 0.19 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.05 v3.4.0, 0.11 v3.3.0, 0.07 v3.2.0 % 0.60/0.66 % Syntax : Number of formulae : 5 ( 3 unt; 0 def) % 0.60/0.66 % Number of atoms : 7 ( 5 equ) % 0.60/0.66 % Maximal formula atoms : 2 ( 1 avg) % 0.60/0.66 % Number of connectives : 3 ( 1 ~; 0 |; 0 &) % 0.60/0.66 % ( 0 <=>; 2 =>; 0 <=; 0 <~>) % 0.60/0.66 % Maximal formula depth : 5 ( 4 avg) % 0.60/0.66 % Maximal term depth : 2 ( 1 avg) % 0.60/0.66 % Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty) % 0.60/0.67 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.60/0.67 % Number of variables : 10 ( 8 !; 2 ?) % 0.60/0.67 % SPC : FOF_THM_RFO_SEQ % 0.60/0.67 % 0.60/0.67 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.60/0.67 % library, www.mizar.org % 0.60/0.67 %------------------------------------------------------------------------------ % 0.60/0.67 fof(commutativity_k2_tarski,axiom, % 0.60/0.67 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.60/0.67 % 0.60/0.67 fof(rc1_xboole_0,axiom, % 0.60/0.67 ? [A] : empty(A) ). % 0.60/0.67 % 0.60/0.67 fof(rc2_xboole_0,axiom, % 0.60/0.67 ? [A] : ~ empty(A) ). % 0.60/0.67 % 0.60/0.67 fof(t8_zfmisc_1,axiom, % 0.60/0.67 ! [A,B,C] : % 0.60/0.67 ( singleton(A) = unordered_pair(B,C) % 0.60/0.67 => A = B ) ). % 0.60/0.67 % 0.60/0.67 fof(t9_zfmisc_1,conjecture, % 0.60/0.67 ! [A,B,C] : % 0.60/0.67 ( singleton(A) = unordered_pair(B,C) % 0.60/0.67 => B = C ) ). % 0.60/0.67 % 0.60/0.67 %------------------------------------------------------------------------------ % 0.60/0.67 %------------------------------------------- % 0.60/0.67 % Proof found % 0.60/0.67 % SZS status Theorem for theBenchmark % 0.60/0.67 % SZS output start Proof % 0.60/0.67 %ClaNum:13(EqnAxiom:7) % 0.60/0.67 %VarNum:9(SingletonVarNum:5) % 0.60/0.67 %MaxLitNum:2 % 0.60/0.67 %MaxfuncDepth:1 % 0.60/0.67 %SharedTerms:11 % 0.60/0.67 %goalClause: 9 11 % 0.60/0.67 %singleGoalClaCount:2 % 0.60/0.67 [8]P1(a1) % 0.60/0.67 [11]~E(a5,a2) % 0.60/0.67 [12]~P1(a4) % 0.60/0.67 [9]E(f6(a2,a5),f7(a3)) % 0.60/0.67 [10]E(f6(x101,x102),f6(x102,x101)) % 0.60/0.67 [13]E(x131,x132)+~E(f7(x131),f6(x132,x133)) % 0.60/0.67 %EqnAxiom % 0.60/0.67 [1]E(x11,x11) % 0.60/0.67 [2]E(x22,x21)+~E(x21,x22) % 0.60/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.60/0.67 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43)) % 0.60/0.67 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52)) % 0.60/0.67 [6]~E(x61,x62)+E(f7(x61),f7(x62)) % 0.60/0.67 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.60/0.67 % 0.60/0.67 %------------------------------------------- % 0.60/0.67 cnf(15,plain, % 0.60/0.67 (E(a3,a2)), % 0.60/0.67 inference(scs_inference,[],[9,2,13])). % 0.60/0.67 cnf(17,plain, % 0.60/0.67 (E(f6(a5,a2),f7(a3))), % 0.60/0.67 inference(scs_inference,[],[9,10,2,13,3])). % 0.60/0.67 cnf(21,plain, % 0.60/0.67 (~E(a5,a3)), % 0.60/0.67 inference(scs_inference,[],[11,17,15,2,3])). % 0.60/0.67 cnf(22,plain, % 0.60/0.67 (E(a3,a5)), % 0.60/0.67 inference(scs_inference,[],[11,17,15,2,3,13])). % 0.60/0.67 cnf(25,plain, % 0.60/0.67 ($false), % 0.60/0.67 inference(scs_inference,[],[21,22,2]), % 0.60/0.67 ['proof']). % 0.60/0.67 % SZS output end Proof % 0.60/0.67 % Total time :0.000000s %------------------------------------------------------------------------------