%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n027.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 : Tue May 5 06:57:08 PM UTC 2026 % Result : Theorem 0.49s 0.59s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.15/0.33 % Computer : n027.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue May 5 11:33:49 EDT 2026 % 0.15/0.33 % CPUTime : % 0.49/0.56 start to proof:theBenchmark % 0.49/0.59 %------------------------------------------- % 0.49/0.59 % File :CSE---1.7 % 0.49/0.59 % Problem :theBenchmark % 0.49/0.59 % Transform :cnf % 0.49/0.59 % Format :tptp:raw % 0.49/0.59 % Command :java -jar mcs_scs.jar %d %s % 0.49/0.59 % 0.49/0.59 % Result :Theorem 0.000000s % 0.49/0.59 % Output :CNFRefutation 0.000000s % 0.49/0.59 %------------------------------------------- % 0.49/0.59 %------------------------------------------------------------------------------ % 0.49/0.59 % File : SWX206+1 : TPTP v9.3.0. Released v9.3.0. % 0.49/0.59 % Domain : Software Verification % 0.49/0.59 % Problem : Faulty property about addition of natural numbers % 0.49/0.59 % Version : Especial. % 0.49/0.59 % English : % 0.49/0.59 % 0.49/0.59 % Refs : [CST26] Claessen et al. (2026), Email to Geoff Sutcliffe % 0.49/0.59 % Source : [CST26] % 0.49/0.59 % Names : Nat_plus_not_idem.p [CST26] % 0.49/0.59 % 0.49/0.59 % Status : Theorem % 0.49/0.59 % Rating : ? v9.3.0 % 0.49/0.59 % Syntax : Number of formulae : 5 ( 5 unt; 0 def) % 0.49/0.59 % Number of atoms : 5 ( 5 equ) % 0.49/0.59 % Maximal formula atoms : 1 ( 1 avg) % 0.49/0.59 % Number of connectives : 1 ( 1 ~; 0 |; 0 &) % 0.49/0.59 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 0.49/0.59 % Maximal formula depth : 3 ( 2 avg) % 0.49/0.59 % Maximal term depth : 3 ( 2 avg) % 0.49/0.59 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.49/0.59 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty) % 0.49/0.59 % Number of variables : 6 ( 5 !; 1 ?) % 0.49/0.59 % SPC : FOF_THM_RFO_PEQ % 0.49/0.59 % 0.49/0.59 % Comments : % 0.49/0.59 %------------------------------------------------------------------------------ % 0.49/0.59 fof(axiom_001,axiom, % 0.49/0.59 ! [X] : proj1S(s(X)) = X ). % 0.49/0.59 % 0.49/0.59 fof(axiom_002,axiom, % 0.49/0.59 ! [X] : z != s(X) ). % 0.49/0.59 % 0.49/0.59 fof(axiom_003,axiom, % 0.49/0.59 ! [Y] : x2(z,Y) = Y ). % 0.49/0.59 % 0.49/0.59 fof(axiom_004,axiom, % 0.49/0.59 ! [Y,N] : x2(s(N),Y) = s(x2(N,Y)) ). % 0.49/0.59 % 0.49/0.59 fof(goal_005,conjecture, % 0.49/0.59 ? [X] : x2(X,X) = X ). % 0.49/0.59 % 0.49/0.59 %------------------------------------------------------------------------------ % 0.49/0.59 %------------------------------------------- % 0.49/0.59 % Proof found % 0.49/0.59 % SZS status Theorem for theBenchmark % 0.49/0.59 % SZS output start Proof % 0.49/0.60 %ClaNum:12(EqnAxiom:7) % 0.49/0.60 %VarNum:12(SingletonVarNum:6) % 0.49/0.60 %MaxLitNum:1 % 0.49/0.60 %MaxfuncDepth:2 % 0.49/0.60 %SharedTerms:1 % 0.49/0.60 %goalClause: 12 % 0.49/0.60 %singleGoalClaCount:1 % 0.49/0.60 [9]E(f4(a3,x91),x91) % 0.49/0.60 [11]~E(f1(x111),a3) % 0.49/0.60 [12]~E(f4(x121,x121),x121) % 0.49/0.60 [8]E(f2(f1(x81)),x81) % 0.49/0.60 [10]E(f1(f4(x101,x102)),f4(f1(x101),x102)) % 0.49/0.60 %EqnAxiom % 0.49/0.60 [1]E(x11,x11) % 0.49/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.49/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.49/0.60 [4]~E(x41,x42)+E(f1(x41),f1(x42)) % 0.49/0.60 [5]~E(x51,x52)+E(f2(x51),f2(x52)) % 0.49/0.60 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63)) % 0.49/0.60 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72)) % 0.49/0.60 % 0.49/0.60 %------------------------------------------- % 0.49/0.60 cnf(13,plain, % 0.49/0.60 ($false), % 0.49/0.60 inference(scs_inference,[],[12,9]), % 0.49/0.60 ['proof']). % 0.49/0.60 % SZS output end Proof % 0.49/0.60 % Total time :0.000000s %------------------------------------------------------------------------------