%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU275+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 15:02:12 EDT 2024 % Result : Theorem 0.51s 0.61s % Output : CNFRefutation 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU275+1 : TPTP v8.2.0. Released v3.3.0. % 0.06/0.12 % 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 12:09:24 EDT 2024 % 0.12/0.34 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 0.51/0.60 %------------------------------------------- % 0.51/0.60 % File :CSE---1.7 % 0.51/0.60 % Problem :theBenchmark % 0.51/0.60 % Transform :cnf % 0.51/0.60 % Format :tptp:raw % 0.51/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.51/0.60 % 0.51/0.60 % Result :Theorem 0.000000s % 0.51/0.60 % Output :CNFRefutation 0.000000s % 0.51/0.60 %------------------------------------------- % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 % File : SEU275+1 : TPTP v8.2.0. Released v3.3.0. % 0.51/0.61 % Domain : Set theory % 0.51/0.61 % Problem : MPTP bushy problem t7_wellord2 % 0.51/0.61 % Version : [Urb07] axioms : Especial. % 0.51/0.61 % English : % 0.51/0.61 % 0.51/0.61 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.51/0.61 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.51/0.61 % Source : [Urb07] % 0.51/0.61 % Names : bushy-t7_wellord2 [Urb07] % 0.51/0.61 % 0.51/0.61 % Status : Theorem % 0.51/0.61 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.00 v3.3.0 % 0.51/0.61 % Syntax : Number of formulae : 11 ( 4 unt; 0 def) % 0.51/0.61 % Number of atoms : 26 ( 0 equ) % 0.51/0.61 % Maximal formula atoms : 7 ( 2 avg) % 0.51/0.61 % Number of connectives : 15 ( 0 ~; 0 |; 8 &) % 0.51/0.61 % ( 1 <=>; 6 =>; 0 <=; 0 <~>) % 0.51/0.61 % Maximal formula depth : 8 ( 3 avg) % 0.51/0.61 % Maximal term depth : 2 ( 1 avg) % 0.51/0.61 % Number of predicates : 10 ( 10 usr; 0 prp; 1-1 aty) % 0.51/0.61 % Number of functors : 1 ( 1 usr; 0 con; 1-1 aty) % 0.51/0.61 % Number of variables : 11 ( 10 !; 1 ?) % 0.51/0.61 % SPC : FOF_THM_RFO_NEQ % 0.51/0.61 % 0.51/0.61 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.51/0.61 % library, www.mizar.org % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 fof(cc1_ordinal1,axiom, % 0.51/0.61 ! [A] : % 0.51/0.61 ( ordinal(A) % 0.51/0.61 => ( epsilon_transitive(A) % 0.51/0.61 & epsilon_connected(A) ) ) ). % 0.51/0.61 % 0.51/0.61 fof(cc2_ordinal1,axiom, % 0.51/0.61 ! [A] : % 0.51/0.61 ( ( epsilon_transitive(A) % 0.51/0.61 & epsilon_connected(A) ) % 0.51/0.61 => ordinal(A) ) ). % 0.51/0.61 % 0.51/0.61 fof(d4_wellord1,axiom, % 0.51/0.61 ! [A] : % 0.51/0.61 ( relation(A) % 0.51/0.61 => ( well_ordering(A) % 0.51/0.61 <=> ( reflexive(A) % 0.51/0.61 & transitive(A) % 0.51/0.61 & antisymmetric(A) % 0.51/0.61 & connected(A) % 0.51/0.61 & well_founded_relation(A) ) ) ) ). % 0.51/0.61 % 0.51/0.61 fof(dt_k1_wellord2,axiom, % 0.51/0.61 ! [A] : relation(inclusion_relation(A)) ). % 0.51/0.61 % 0.51/0.61 fof(rc1_ordinal1,axiom, % 0.51/0.61 ? [A] : % 0.51/0.61 ( epsilon_transitive(A) % 0.51/0.61 & epsilon_connected(A) % 0.51/0.61 & ordinal(A) ) ). % 0.51/0.61 % 0.51/0.61 fof(t2_wellord2,axiom, % 0.51/0.61 ! [A] : reflexive(inclusion_relation(A)) ). % 0.51/0.61 % 0.51/0.61 fof(t3_wellord2,axiom, % 0.51/0.61 ! [A] : transitive(inclusion_relation(A)) ). % 0.51/0.61 % 0.51/0.61 fof(t4_wellord2,axiom, % 0.51/0.61 ! [A] : % 0.51/0.61 ( ordinal(A) % 0.51/0.61 => connected(inclusion_relation(A)) ) ). % 0.51/0.61 % 0.51/0.61 fof(t5_wellord2,axiom, % 0.51/0.61 ! [A] : antisymmetric(inclusion_relation(A)) ). % 0.51/0.61 % 0.51/0.61 fof(t6_wellord2,axiom, % 0.51/0.61 ! [A] : % 0.51/0.61 ( ordinal(A) % 0.51/0.61 => well_founded_relation(inclusion_relation(A)) ) ). % 0.51/0.61 % 0.51/0.61 fof(t7_wellord2,conjecture, % 0.51/0.61 ! [A] : % 0.51/0.61 ( ordinal(A) % 0.51/0.61 => well_ordering(inclusion_relation(A)) ) ). % 0.51/0.61 % 0.51/0.61 %------------------------------------------------------------------------------ % 0.51/0.61 %------------------------------------------- % 0.51/0.61 % Proof found % 0.51/0.61 % SZS status Theorem for theBenchmark % 0.51/0.61 % SZS output start Proof % 0.51/0.61 %ClaNum:20(EqnAxiom:0) % 0.51/0.61 %VarNum:37(SingletonVarNum:15) % 0.51/0.61 %MaxLitNum:7 % 0.51/0.61 %MaxfuncDepth:1 % 0.51/0.61 %SharedTerms:8 % 0.51/0.61 %goalClause: 2 9 % 0.51/0.61 %singleGoalClaCount:2 % 0.51/0.61 [1]P1(a1) % 0.51/0.61 [2]P1(a2) % 0.51/0.61 [3]P2(a1) % 0.51/0.61 [4]P3(a1) % 0.51/0.61 [9]~P9(f3(a2)) % 0.51/0.61 [5]P6(f3(x51)) % 0.51/0.61 [6]P7(f3(x61)) % 0.51/0.61 [7]P8(f3(x71)) % 0.51/0.61 [8]P4(f3(x81)) % 0.51/0.61 [10]~P1(x101)+P2(x101) % 0.51/0.61 [11]~P1(x111)+P3(x111) % 0.51/0.61 [12]~P1(x121)+P5(f3(x121)) % 0.51/0.61 [13]~P1(x131)+P10(f3(x131)) % 0.51/0.61 [14]~P2(x141)+~P3(x141)+P1(x141) % 0.51/0.61 [15]~P6(x151)+~P9(x151)+P7(x151) % 0.51/0.61 [16]~P6(x161)+~P9(x161)+P8(x161) % 0.51/0.61 [17]~P6(x171)+~P9(x171)+P4(x171) % 0.51/0.61 [18]~P6(x181)+~P9(x181)+P5(x181) % 0.51/0.61 [19]~P6(x191)+~P9(x191)+P10(x191) % 0.51/0.61 [20]~P6(x201)+~P7(x201)+~P8(x201)+~P4(x201)+~P5(x201)+~P10(x201)+P9(x201) % 0.51/0.61 %EqnAxiom % 0.51/0.61 % 0.51/0.61 %------------------------------------------- % 0.51/0.61 cnf(21,plain, % 0.51/0.61 (~P5(f3(a2))+~P10(f3(a2))), % 0.51/0.61 inference(scs_inference,[],[9,5,6,7,8,20])). % 0.51/0.61 cnf(36,plain, % 0.51/0.61 (~P10(f3(a2))), % 0.51/0.61 inference(scs_inference,[],[2,21,12])). % 0.51/0.61 cnf(37,plain, % 0.51/0.61 ($false), % 0.51/0.61 inference(scs_inference,[],[2,36,13]), % 0.51/0.61 ['proof']). % 0.51/0.61 % SZS output end Proof % 0.51/0.61 % Total time :0.000000s %------------------------------------------------------------------------------