%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU261+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 : n017.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 15:02:07 EDT 2024 % Result : Theorem 0.53s 0.62s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU261+1 : TPTP v8.2.0. Released v3.3.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n017.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 14:24:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.53/0.61 %------------------------------------------- % 0.53/0.61 % File :CSE---1.7 % 0.53/0.61 % Problem :theBenchmark % 0.53/0.61 % Transform :cnf % 0.53/0.61 % Format :tptp:raw % 0.53/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.62 % 0.53/0.62 % Result :Theorem 0.020000s % 0.53/0.62 % Output :CNFRefutation 0.020000s % 0.53/0.62 %------------------------------------------- % 0.53/0.62 %------------------------------------------------------------------------------ % 0.53/0.62 % File : SEU261+1 : TPTP v8.2.0. Released v3.3.0. % 0.53/0.62 % Domain : Set theory % 0.53/0.62 % Problem : MPTP bushy problem t54_wellord1 % 0.53/0.62 % Version : [Urb07] axioms : Especial. % 0.53/0.62 % English : % 0.53/0.62 % 0.53/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co % 0.53/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe % 0.53/0.62 % Source : [Urb07] % 0.53/0.62 % Names : bushy-t54_wellord1 [Urb07] % 0.53/0.62 % 0.53/0.62 % Status : Theorem % 0.53/0.62 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.3.0 % 0.53/0.62 % Syntax : Number of formulae : 4 ( 0 unt; 0 def) % 0.53/0.62 % Number of atoms : 31 ( 0 equ) % 0.53/0.62 % Maximal formula atoms : 15 ( 7 avg) % 0.53/0.62 % Number of connectives : 27 ( 0 ~; 0 |; 12 &) % 0.53/0.62 % ( 1 <=>; 14 =>; 0 <=; 0 <~>) % 0.53/0.62 % Maximal formula depth : 13 ( 8 avg) % 0.53/0.62 % Maximal term depth : 1 ( 1 avg) % 0.53/0.62 % Number of predicates : 9 ( 9 usr; 0 prp; 1-3 aty) % 0.53/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.53/0.62 % Number of variables : 8 ( 7 !; 1 ?) % 0.53/0.62 % SPC : FOF_THM_EPR_NEQ % 0.53/0.62 % 0.53/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.53/0.62 % library, www.mizar.org % 0.53/0.62 %------------------------------------------------------------------------------ % 0.53/0.62 fof(d4_wellord1,axiom, % 0.53/0.62 ! [A] : % 0.53/0.62 ( relation(A) % 0.53/0.62 => ( well_ordering(A) % 0.53/0.62 <=> ( reflexive(A) % 0.53/0.62 & transitive(A) % 0.53/0.62 & antisymmetric(A) % 0.53/0.62 & connected(A) % 0.53/0.62 & well_founded_relation(A) ) ) ) ). % 0.53/0.62 % 0.53/0.62 fof(rc1_funct_1,axiom, % 0.53/0.62 ? [A] : % 0.53/0.62 ( relation(A) % 0.53/0.62 & function(A) ) ). % 0.53/0.62 % 0.53/0.62 fof(t53_wellord1,axiom, % 0.53/0.62 ! [A] : % 0.53/0.62 ( relation(A) % 0.53/0.62 => ! [B] : % 0.53/0.62 ( relation(B) % 0.53/0.62 => ! [C] : % 0.53/0.62 ( ( relation(C) % 0.53/0.62 & function(C) ) % 0.53/0.62 => ( relation_isomorphism(A,B,C) % 0.53/0.62 => ( ( reflexive(A) % 0.53/0.62 => reflexive(B) ) % 0.53/0.62 & ( transitive(A) % 0.53/0.62 => transitive(B) ) % 0.53/0.62 & ( connected(A) % 0.53/0.62 => connected(B) ) % 0.53/0.62 & ( antisymmetric(A) % 0.53/0.62 => antisymmetric(B) ) % 0.53/0.62 & ( well_founded_relation(A) % 0.53/0.62 => well_founded_relation(B) ) ) ) ) ) ) ). % 0.53/0.62 % 0.53/0.62 fof(t54_wellord1,conjecture, % 0.53/0.62 ! [A] : % 0.53/0.62 ( relation(A) % 0.53/0.62 => ! [B] : % 0.53/0.62 ( relation(B) % 0.53/0.62 => ! [C] : % 0.53/0.62 ( ( relation(C) % 0.53/0.62 & function(C) ) % 0.53/0.62 => ( ( well_ordering(A) % 0.53/0.62 & relation_isomorphism(A,B,C) ) % 0.53/0.62 => well_ordering(B) ) ) ) ) ). % 0.53/0.62 % 0.53/0.62 %------------------------------------------------------------------------------ % 0.53/0.62 %------------------------------------------- % 0.53/0.62 % Proof found % 0.53/0.62 % SZS status Theorem for theBenchmark % 0.53/0.62 % SZS output start Proof % 0.53/0.62 %ClaNum:21(EqnAxiom:0) % 0.53/0.62 %VarNum:51(SingletonVarNum:19) % 0.53/0.62 %MaxLitNum:7 % 0.53/0.62 %MaxfuncDepth:0 % 0.53/0.62 %SharedTerms:13 % 0.53/0.62 %goalClause: 2 3 4 5 7 8 9 % 0.53/0.62 %singleGoalClaCount:7 % 0.53/0.62 [1]P1(a1) % 0.53/0.62 [2]P1(a2) % 0.53/0.62 [3]P1(a3) % 0.53/0.62 [4]P1(a4) % 0.53/0.62 [5]P7(a2) % 0.53/0.62 [6]P2(a1) % 0.53/0.62 [7]P2(a4) % 0.53/0.62 [8]P8(a2,a3,a4) % 0.53/0.62 [9]~P7(a3) % 0.53/0.62 [10]~P1(x101)+~P7(x101)+P6(x101) % 0.53/0.62 [11]~P1(x111)+~P7(x111)+P9(x111) % 0.53/0.62 [12]~P1(x121)+~P7(x121)+P3(x121) % 0.53/0.62 [13]~P1(x131)+~P7(x131)+P4(x131) % 0.53/0.62 [14]~P1(x141)+~P7(x141)+P10(x141) % 0.53/0.62 [15]~P5(x151,x152)+P6(x151)+~P6(x152) % 0.53/0.62 [16]~P5(x161,x162)+P9(x161)+~P9(x162) % 0.53/0.62 [17]~P5(x171,x172)+P3(x171)+~P3(x172) % 0.53/0.62 [18]~P5(x181,x182)+P4(x181)+~P4(x182) % 0.53/0.62 [19]~P5(x191,x192)+P10(x191)+~P10(x192) % 0.53/0.62 [21]~P1(x211)+~P1(x212)+~P2(x213)+~P8(x212,x211,x213)+P5(x211,x212)+~P1(x213) % 0.53/0.62 [20]~P1(x201)+~P6(x201)+~P9(x201)+~P3(x201)+~P4(x201)+~P10(x201)+P7(x201) % 0.53/0.62 %EqnAxiom % 0.53/0.62 % 0.53/0.62 %------------------------------------------- % 0.53/0.63 cnf(24,plain, % 0.53/0.63 (P9(a2)), % 0.53/0.63 inference(scs_inference,[],[2,5,10,11])). % 0.53/0.63 cnf(26,plain, % 0.53/0.63 (P3(a2)), % 0.53/0.63 inference(scs_inference,[],[2,5,10,11,12])). % 0.53/0.63 cnf(28,plain, % 0.53/0.63 (P4(a2)), % 0.53/0.63 inference(scs_inference,[],[2,5,10,11,12,13])). % 0.53/0.63 cnf(30,plain, % 0.53/0.63 (P10(a2)), % 0.53/0.63 inference(scs_inference,[],[2,5,10,11,12,13,14])). % 0.53/0.63 cnf(32,plain, % 0.53/0.63 (P5(a3,a2)), % 0.53/0.63 inference(scs_inference,[],[2,3,4,5,7,8,10,11,12,13,14,21])). % 0.53/0.63 cnf(34,plain, % 0.53/0.63 (P6(a3)), % 0.53/0.63 inference(scs_inference,[],[32,5,2,15,10])). % 0.53/0.63 cnf(35,plain, % 0.53/0.63 (~P3(a3)+~P4(a3)+~P10(a3)+~P9(a3)), % 0.53/0.63 inference(scs_inference,[],[3,9,34,20])). % 0.53/0.63 cnf(36,plain, % 0.53/0.63 (~P3(a3)+~P4(a3)+~P10(a3)), % 0.53/0.63 inference(scs_inference,[],[24,32,16,35])). % 0.53/0.63 cnf(47,plain, % 0.53/0.63 (~P4(a3)+~P10(a3)), % 0.53/0.63 inference(scs_inference,[],[26,32,36,17])). % 0.53/0.63 cnf(63,plain, % 0.53/0.63 (~P10(a3)), % 0.53/0.63 inference(scs_inference,[],[28,32,47,18])). % 0.53/0.63 cnf(64,plain, % 0.53/0.63 ($false), % 0.53/0.63 inference(scs_inference,[],[30,63,32,19]), % 0.53/0.63 ['proof']). % 0.53/0.63 % SZS output end Proof % 0.53/0.63 % Total time :0.020000s %------------------------------------------------------------------------------