%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU161+1 : TPTP v8.2.0. Released v3.3.0. % 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 15:01:26 EDT 2024 % Result : Theorem 0.61s 0.68s % Output : CNFRefutation 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SEU161+1 : TPTP v8.2.0. Released v3.3.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.15/0.36 % Computer : n025.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Jun 21 13:48:09 EDT 2024 % 0.15/0.36 % CPUTime : % 0.57/0.64 start to proof:theBenchmark % 0.61/0.67 %------------------------------------------- % 0.61/0.67 % File :CSE---1.7 % 0.61/0.67 % Problem :theBenchmark % 0.61/0.67 % Transform :cnf % 0.61/0.67 % Format :tptp:raw % 0.61/0.67 % Command :java -jar mcs_scs.jar %d %s % 0.61/0.67 % 0.61/0.67 % Result :Theorem 0.000000s % 0.61/0.67 % Output :CNFRefutation 0.000000s % 0.61/0.67 %------------------------------------------- % 0.61/0.68 %------------------------------------------------------------------------------ % 0.61/0.68 % File : SEU161+1 : TPTP v8.2.0. Released v3.3.0. % 0.61/0.68 % Domain : Set theory % 0.61/0.68 % Problem : MPTP bushy problem t46_zfmisc_1 % 0.61/0.68 % Version : [Urb07] axioms : Especial. % 0.61/0.68 % English : % 0.61/0.68 % 0.61/0.68 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.61/0.68 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.61/0.68 % Source : [Urb07] % 0.61/0.68 % Names : bushy-t46_zfmisc_1 [Urb07] % 0.61/0.68 % 0.61/0.68 % Status : Theorem % 0.61/0.68 % Rating : 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.2.0, 0.05 v5.0.0, 0.04 v4.0.0, 0.08 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0 % 0.61/0.68 % Syntax : Number of formulae : 7 ( 4 unt; 0 def) % 0.61/0.68 % Number of atoms : 10 ( 4 equ) % 0.61/0.68 % Maximal formula atoms : 2 ( 1 avg) % 0.61/0.68 % Number of connectives : 4 ( 1 ~; 0 |; 0 &) % 0.61/0.68 % ( 0 <=>; 3 =>; 0 <=; 0 <~>) % 0.61/0.68 % Maximal formula depth : 5 ( 3 avg) % 0.61/0.68 % Maximal term depth : 3 ( 1 avg) % 0.61/0.68 % Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty) % 0.61/0.68 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.61/0.68 % Number of variables : 10 ( 10 !; 0 ?) % 0.61/0.68 % SPC : FOF_THM_RFO_SEQ % 0.61/0.68 % 0.61/0.68 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.61/0.68 % library, www.mizar.org % 0.61/0.68 %------------------------------------------------------------------------------ % 0.61/0.68 fof(commutativity_k2_xboole_0,axiom, % 0.61/0.68 ! [A,B] : set_union2(A,B) = set_union2(B,A) ). % 0.61/0.68 % 0.61/0.68 fof(idempotence_k2_xboole_0,axiom, % 0.61/0.68 ! [A,B] : set_union2(A,A) = A ). % 0.61/0.68 % 0.61/0.68 fof(antisymmetry_r2_hidden,axiom, % 0.61/0.68 ! [A,B] : % 0.61/0.68 ( in(A,B) % 0.61/0.68 => ~ in(B,A) ) ). % 0.61/0.68 % 0.61/0.68 fof(dt_k1_tarski,axiom, % 0.61/0.68 $true ). % 0.61/0.68 % 0.61/0.68 fof(dt_k2_xboole_0,axiom, % 0.61/0.68 $true ). % 0.61/0.68 % 0.61/0.68 fof(t46_zfmisc_1,conjecture, % 0.61/0.68 ! [A,B] : % 0.61/0.68 ( in(A,B) % 0.61/0.68 => set_union2(singleton(A),B) = B ) ). % 0.61/0.68 % 0.61/0.68 fof(l23_zfmisc_1,axiom, % 0.61/0.68 ! [A,B] : % 0.61/0.68 ( in(A,B) % 0.61/0.68 => set_union2(singleton(A),B) = B ) ). % 0.61/0.68 % 0.61/0.68 %------------------------------------------------------------------------------ % 0.61/0.68 %------------------------------------------- % 0.61/0.68 % Proof found % 0.61/0.68 % SZS status Theorem for theBenchmark % 0.61/0.68 % SZS output start Proof % 0.61/0.69 %ClaNum:14(EqnAxiom:8) % 0.61/0.69 %VarNum:16(SingletonVarNum:7) % 0.61/0.69 %MaxLitNum:2 % 0.61/0.69 %MaxfuncDepth:2 % 0.61/0.69 %SharedTerms:6 % 0.61/0.69 %goalClause: 9 12 % 0.61/0.69 %singleGoalClaCount:2 % 0.61/0.69 [9]P1(a1,a2) % 0.61/0.69 [12]~E(f3(f4(a1),a2),a2) % 0.61/0.69 [10]E(f3(x101,x101),x101) % 0.61/0.69 [11]E(f3(x111,x112),f3(x112,x111)) % 0.61/0.69 [14]~P1(x142,x141)+~P1(x141,x142) % 0.61/0.69 [13]~P1(x131,x132)+E(f3(f4(x131),x132),x132) % 0.61/0.69 %EqnAxiom % 0.61/0.69 [1]E(x11,x11) % 0.61/0.69 [2]E(x22,x21)+~E(x21,x22) % 0.61/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.61/0.69 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.61/0.69 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.61/0.69 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.61/0.69 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73) % 0.61/0.69 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81) % 0.61/0.69 % 0.61/0.69 %------------------------------------------- % 0.61/0.69 cnf(15,plain, % 0.61/0.69 ($false), % 0.61/0.69 inference(scs_inference,[],[9,12,13]), % 0.61/0.69 ['proof']). % 0.61/0.69 % SZS output end Proof % 0.61/0.69 % Total time :0.000000s %------------------------------------------------------------------------------