%------------------------------------------------------------------------------ % 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 : n001.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 06:57:09 PM UTC 2026 % Result : Unsatisfiable 0.52s 0.95s % 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 % 0.16/0.33 % Computer : n001.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue May 5 11:35:03 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.55 start to proof:theBenchmark % 0.52/0.94 %------------------------------------------- % 0.52/0.94 % File :CSE---1.7 % 0.52/0.94 % Problem :theBenchmark % 0.52/0.94 % Transform :cnf % 0.52/0.94 % Format :tptp:raw % 0.52/0.94 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.94 % 0.52/0.94 % Result :Theorem 0.360000s % 0.52/0.94 % Output :CNFRefutation 0.360000s % 0.52/0.94 %------------------------------------------- % 0.52/0.95 %------------------------------------------------------------------------------ % 0.52/0.95 % File : SWX206-1 : TPTP v9.3.0. Released v9.3.0. % 0.52/0.95 % Domain : Software Verification % 0.52/0.95 % Problem : Faulty property about addition of natural numbers % 0.52/0.95 % Version : Especial. % 0.52/0.95 % English : % 0.52/0.95 % 0.52/0.95 % Refs : [CST26] Claessen et al. (2026), Email to Geoff Sutcliffe % 0.52/0.95 % Source : [CST26] % 0.52/0.95 % Names : Nat_plus_not_idem.p [CST26] % 0.52/0.95 % 0.52/0.95 % Status : Unsatisfiable % 0.52/0.95 % Rating : ? v9.3.0 % 0.52/0.95 % Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR) % 0.52/0.95 % Number of literals : 13 ( 13 equ; 1 neg) % 0.52/0.95 % Maximal clause size : 1 ( 1 avg) % 0.52/0.95 % Maximal term depth : 4 ( 2 avg) % 0.52/0.95 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.52/0.95 % Number of functors : 9 ( 9 usr; 3 con; 0-2 aty) % 0.52/0.95 % Number of variables : 13 ( 4 sgn) % 0.52/0.95 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.52/0.95 % 0.52/0.95 % Comments : % 0.52/0.95 %------------------------------------------------------------------------------ % 0.52/0.95 cnf(axiom,axiom, % 0.52/0.95 impl(btrue,Q) = Q ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_001,axiom, % 0.52/0.95 impl(bfalse,Q) = btrue ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_002,axiom, % 0.52/0.95 x2(z,Y) = Y ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_003,axiom, % 0.52/0.95 x2(s(N),Y) = s(x2(N,Y)) ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_004,axiom, % 0.52/0.95 plus_not_idem(X) = impl(eq(x2(X,X),X),eq2(btrue,bfalse)) ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_005,axiom, % 0.52/0.95 eq2(bfalse,btrue) = bfalse ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_006,axiom, % 0.52/0.95 eq2(btrue,bfalse) = bfalse ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_007,axiom, % 0.52/0.95 eq(s(X),s(Y)) = eq(X,Y) ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_008,axiom, % 0.52/0.95 eq(z,s(X)) = bfalse ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_009,axiom, % 0.52/0.95 eq(s(X),z) = bfalse ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_010,axiom, % 0.52/0.95 eq(X,X) = btrue ). % 0.52/0.95 % 0.52/0.95 cnf(axiom_011,axiom, % 0.52/0.95 eq2(X,X) = btrue ). % 0.52/0.95 % 0.52/0.95 cnf(goal,negated_conjecture, % 0.52/0.95 eq2(plus_not_idem(X),bfalse) != btrue ). % 0.52/0.95 % 0.52/0.95 %------------------------------------------------------------------------------ % 0.52/0.95 %------------------------------------------- % 0.52/0.95 % Proof found % 0.52/0.95 % SZS status Theorem for theBenchmark % 0.52/0.95 % SZS output start Proof % 0.52/0.95 %ClaNum:24(EqnAxiom:12) % 0.52/0.95 %VarNum:22(SingletonVarNum:12) % 0.52/0.95 %MaxLitNum:1 % 0.52/0.95 %MaxfuncDepth:3 % 0.52/0.95 %SharedTerms:7 % 0.52/0.95 %goalClause: 24 % 0.52/0.95 %singleGoalClaCount:1 % 0.52/0.95 [13]E(f3(a1,a2),a2) % 0.52/0.95 [14]E(f3(a2,a1),a2) % 0.52/0.95 [15]E(f5(a2,x151),a1) % 0.52/0.95 [16]E(f5(a1,x161),x161) % 0.52/0.95 [17]E(f7(a6,x171),x171) % 0.52/0.95 [18]E(f4(x181,x181),a1) % 0.52/0.95 [19]E(f3(x191,x191),a1) % 0.52/0.95 [20]E(f4(a6,f8(x201)),a2) % 0.52/0.95 [21]E(f4(f8(x211),a6),a2) % 0.52/0.95 [24]~E(f3(f5(f4(f7(x241,x241),x241),f3(a1,a2)),a2),a1) % 0.52/0.95 [22]E(f4(f8(x221),f8(x222)),f4(x221,x222)) % 0.52/0.95 [23]E(f8(f7(x231,x232)),f7(f8(x231),x232)) % 0.52/0.95 %EqnAxiom % 0.52/0.95 [1]E(x11,x11) % 0.52/0.95 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.95 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.95 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.52/0.95 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.52/0.95 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 0.52/0.95 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 0.52/0.95 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83)) % 0.52/0.95 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92)) % 0.52/0.95 [10]~E(x101,x102)+E(f8(x101),f8(x102)) % 0.52/0.95 [11]~E(x111,x112)+E(f4(x111,x113),f4(x112,x113)) % 0.52/0.95 [12]~E(x121,x122)+E(f4(x123,x121),f4(x123,x122)) % 0.52/0.95 % 0.52/0.95 %------------------------------------------- % 0.52/0.95 cnf(35,plain, % 0.52/0.95 (~E(f5(f4(f7(x351,x351),x351),f3(a1,a2)),a2)), % 0.52/0.95 inference(scs_inference,[],[24,19,2,3,4])). % 0.52/0.95 cnf(42,plain, % 0.52/0.95 (~E(f5(f4(f7(x421,x421),x421),f3(a1,a2)),f3(a1,a2))), % 0.52/0.95 inference(scs_inference,[],[35,13,2,3])). % 0.52/0.95 cnf(88,plain, % 0.52/0.95 (~E(f4(f7(x881,x881),x881),a1)), % 0.52/0.95 inference(scs_inference,[],[42,16,3,6])). % 0.52/0.95 cnf(118,plain, % 0.52/0.95 ($false), % 0.52/0.95 inference(scs_inference,[],[88,18,17,3,11]), % 0.52/0.95 ['proof']). % 0.52/0.95 % SZS output end Proof % 0.52/0.95 % Total time :0.360000s %------------------------------------------------------------------------------