%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU152+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 : n020.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 15:01:22 EDT 2024 % Result : Theorem 0.52s 0.57s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU152+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 : n020.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 16:14:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.54 start to proof:theBenchmark % 0.52/0.57 %------------------------------------------- % 0.52/0.57 % File :CSE---1.7 % 0.52/0.57 % Problem :theBenchmark % 0.52/0.57 % Transform :cnf % 0.52/0.57 % Format :tptp:raw % 0.52/0.57 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.57 % 0.52/0.57 % Result :Theorem 0.000000s % 0.52/0.57 % Output :CNFRefutation 0.000000s % 0.52/0.57 %------------------------------------------- % 0.52/0.57 %------------------------------------------------------------------------------ % 0.52/0.57 % File : SEU152+1 : TPTP v8.2.0. Released v3.3.0. % 0.52/0.57 % Domain : Set theory % 0.52/0.57 % Problem : MPTP bushy problem l23_zfmisc_1 % 0.52/0.57 % Version : [Urb07] axioms : Especial. % 0.52/0.57 % English : % 0.52/0.57 % 0.52/0.57 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.52/0.57 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.52/0.57 % Source : [Urb07] % 0.52/0.57 % Names : bushy-l23_zfmisc_1 [Urb07] % 0.52/0.57 % 0.52/0.57 % Status : Theorem % 0.52/0.57 % Rating : 0.03 v7.4.0, 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 v5.3.0, 0.15 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 % 0.52/0.57 % Syntax : Number of formulae : 9 ( 5 unt; 0 def) % 0.52/0.57 % Number of atoms : 13 ( 4 equ) % 0.52/0.57 % Maximal formula atoms : 2 ( 1 avg) % 0.52/0.57 % Number of connectives : 5 ( 1 ~; 0 |; 0 &) % 0.52/0.57 % ( 1 <=>; 3 =>; 0 <=; 0 <~>) % 0.52/0.57 % Maximal formula depth : 5 ( 3 avg) % 0.52/0.57 % Maximal term depth : 3 ( 1 avg) % 0.52/0.57 % Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty) % 0.52/0.57 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.52/0.57 % Number of variables : 14 ( 14 !; 0 ?) % 0.52/0.57 % SPC : FOF_THM_RFO_SEQ % 0.52/0.57 % 0.52/0.57 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.52/0.57 % library, www.mizar.org % 0.52/0.57 %------------------------------------------------------------------------------ % 0.52/0.57 fof(antisymmetry_r2_hidden,axiom, % 0.52/0.57 ! [A,B] : % 0.52/0.57 ( in(A,B) % 0.52/0.57 => ~ in(B,A) ) ). % 0.52/0.57 % 0.52/0.57 fof(commutativity_k2_xboole_0,axiom, % 0.52/0.57 ! [A,B] : set_union2(A,B) = set_union2(B,A) ). % 0.52/0.57 % 0.52/0.57 fof(dt_k1_tarski,axiom, % 0.52/0.57 $true ). % 0.52/0.57 % 0.52/0.57 fof(dt_k2_xboole_0,axiom, % 0.52/0.57 $true ). % 0.52/0.57 % 0.52/0.57 fof(idempotence_k2_xboole_0,axiom, % 0.52/0.57 ! [A,B] : set_union2(A,A) = A ). % 0.52/0.57 % 0.52/0.57 fof(l23_zfmisc_1,conjecture, % 0.52/0.57 ! [A,B] : % 0.52/0.57 ( in(A,B) % 0.52/0.57 => set_union2(singleton(A),B) = B ) ). % 0.52/0.57 % 0.52/0.57 fof(l2_zfmisc_1,axiom, % 0.52/0.57 ! [A,B] : % 0.52/0.57 ( subset(singleton(A),B) % 0.52/0.57 <=> in(A,B) ) ). % 0.52/0.57 % 0.52/0.57 fof(reflexivity_r1_tarski,axiom, % 0.52/0.57 ! [A,B] : subset(A,A) ). % 0.52/0.57 % 0.52/0.57 fof(t12_xboole_1,axiom, % 0.52/0.57 ! [A,B] : % 0.52/0.57 ( subset(A,B) % 0.52/0.57 => set_union2(A,B) = B ) ). % 0.52/0.57 % 0.52/0.57 %------------------------------------------------------------------------------ % 0.52/0.57 %------------------------------------------- % 0.52/0.57 % Proof found % 0.52/0.57 % SZS status Theorem for theBenchmark % 0.52/0.57 % SZS output start Proof % 0.52/0.57 %ClaNum:19(EqnAxiom:10) % 0.52/0.57 %VarNum:26(SingletonVarNum:12) % 0.52/0.57 %MaxLitNum:2 % 0.52/0.57 %MaxfuncDepth:2 % 0.52/0.57 %SharedTerms:6 % 0.52/0.57 %goalClause: 11 15 % 0.52/0.57 %singleGoalClaCount:2 % 0.52/0.57 [11]P1(a1,a2) % 0.52/0.57 [15]~E(f3(f4(a1),a2),a2) % 0.52/0.57 [12]P2(x121,x121) % 0.52/0.57 [13]E(f3(x131,x131),x131) % 0.52/0.57 [14]E(f3(x141,x142),f3(x142,x141)) % 0.52/0.57 [18]~P1(x182,x181)+~P1(x181,x182) % 0.52/0.57 [16]~P2(x161,x162)+E(f3(x161,x162),x162) % 0.52/0.57 [17]~P1(x171,x172)+P2(f4(x171),x172) % 0.52/0.57 [19]P1(x191,x192)+~P2(f4(x191),x192) % 0.52/0.57 %EqnAxiom % 0.52/0.57 [1]E(x11,x11) % 0.52/0.57 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.57 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.52/0.57 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.52/0.57 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.52/0.57 [7]P1(x72,x73)+~E(x71,x72)+~P1(x71,x73) % 0.52/0.57 [8]P1(x83,x82)+~E(x81,x82)+~P1(x83,x81) % 0.52/0.57 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93) % 0.52/0.57 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101) % 0.52/0.57 % 0.52/0.57 %------------------------------------------- % 0.52/0.58 cnf(24,plain, % 0.52/0.58 ($false), % 0.52/0.58 inference(scs_inference,[],[11,15,18,16,17]), % 0.52/0.58 ['proof']). % 0.52/0.58 % SZS output end Proof % 0.52/0.58 % Total time :0.000000s %------------------------------------------------------------------------------