%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n008.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 06:57:11 PM UTC 2026 % Result : Unsatisfiable 0.48s 0.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.29 % Computer : n008.cluster.edu % 0.11/0.29 % Model : x86_64 x86_64 % 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.29 % Memory : 8042.1875MB % 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.29 % CPULimit : 300 % 0.11/0.29 % WCLimit : 300 % 0.11/0.29 % DateTime : Tue May 5 13:07:13 EDT 2026 % 0.11/0.29 % CPUTime : % 0.32/0.52 start to proof:theBenchmark % 0.48/0.58 %------------------------------------------- % 0.48/0.58 % File :CSE---1.7 % 0.48/0.58 % Problem :theBenchmark % 0.48/0.58 % Transform :cnf % 0.48/0.58 % Format :tptp:raw % 0.48/0.58 % Command :java -jar mcs_scs.jar %d %s % 0.48/0.58 % 0.48/0.58 % Result :Theorem 0.020000s % 0.48/0.58 % Output :CNFRefutation 0.020000s % 0.48/0.58 %------------------------------------------- % 0.48/0.58 %------------------------------------------------------------------------------ % 0.48/0.58 % File : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % 0.48/0.58 % Domain : Software Verification % 0.48/0.58 % Problem : Simple test case for recursion % 0.48/0.58 % Version : Especial. % 0.48/0.58 % English : % 0.48/0.58 % 0.48/0.58 % Refs : [CST26] Claessen et al. (2026), Email to Geoff Sutcliffe % 0.48/0.58 % Source : [CST26] % 0.48/0.58 % Names : Rec_prop1.p [CST26] % 0.48/0.58 % 0.48/0.58 % Status : Unsatisfiable % 0.48/0.58 % Rating : ? v9.3.0 % 0.48/0.58 % Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 7 RR) % 0.48/0.58 % Number of literals : 13 ( 13 equ; 1 neg) % 0.48/0.58 % Maximal clause size : 1 ( 1 avg) % 0.48/0.58 % Maximal term depth : 3 ( 1 avg) % 0.48/0.58 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.48/0.58 % Number of functors : 10 ( 10 usr; 3 con; 0-2 aty) % 0.48/0.58 % Number of variables : 9 ( 5 sgn) % 0.48/0.58 % SPC : CNF_UNS_RFO_PEQ_UEQ % 0.48/0.58 % 0.48/0.58 % Comments : % 0.48/0.58 %------------------------------------------------------------------------------ % 0.48/0.58 cnf(axiom,axiom, % 0.48/0.58 aux(Z,btrue) = bfalse ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_001,axiom, % 0.48/0.58 aux(Z,bfalse) = btrue ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_002,axiom, % 0.48/0.58 h(nil) = nil ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_003,axiom, % 0.48/0.58 h(cons(Y,Xs)) = Xs ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_004,axiom, % 0.48/0.58 g(btrue) = bfalse ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_005,axiom, % 0.48/0.58 g(bfalse) = btrue ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_006,axiom, % 0.48/0.58 f(nil) = btrue ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_007,axiom, % 0.48/0.58 f(cons(Y,Z)) = aux(Z,f(Z)) ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_008,axiom, % 0.48/0.58 prop1(X) = eq(f(X),bfalse) ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_009,axiom, % 0.48/0.58 eq(bfalse,btrue) = bfalse ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_010,axiom, % 0.48/0.58 eq(btrue,bfalse) = bfalse ). % 0.48/0.58 % 0.48/0.58 cnf(axiom_011,axiom, % 0.48/0.58 eq(X,X) = btrue ). % 0.48/0.58 % 0.48/0.58 cnf(goal,negated_conjecture, % 0.48/0.58 eq(prop1(X),bfalse) != btrue ). % 0.48/0.58 % 0.48/0.58 %------------------------------------------------------------------------------ % 0.48/0.58 %------------------------------------------- % 0.48/0.58 % Proof found % 0.48/0.58 % SZS status Theorem for theBenchmark % 0.48/0.58 % SZS output start Proof % 0.48/0.58 %ClaNum:24(EqnAxiom:12) % 0.48/0.58 %VarNum:12(SingletonVarNum:8) % 0.48/0.58 %MaxLitNum:1 % 0.48/0.58 %MaxfuncDepth:3 % 0.48/0.58 %SharedTerms:15 % 0.48/0.58 %goalClause: 24 % 0.48/0.58 %singleGoalClaCount:1 % 0.48/0.58 [13]E(f2(a1),a1) % 0.48/0.58 [14]E(f6(a3),a4) % 0.48/0.58 [15]E(f6(a4),a3) % 0.48/0.58 [16]E(f7(a1),a3) % 0.48/0.58 [17]E(f8(a3,a4),a4) % 0.48/0.58 [18]E(f8(a4,a3),a4) % 0.48/0.58 [19]E(f5(x191,a3),a4) % 0.48/0.58 [20]E(f5(x201,a4),a3) % 0.48/0.58 [21]E(f8(x211,x211),a3) % 0.48/0.58 [24]~E(f8(f8(f7(x241),a4),a4),a3) % 0.48/0.58 [22]E(f2(f9(x221,x222)),x222) % 0.48/0.58 [23]E(f7(f9(x231,x232)),f5(x232,f7(x232))) % 0.48/0.58 %EqnAxiom % 0.48/0.58 [1]E(x11,x11) % 0.48/0.58 [2]E(x22,x21)+~E(x21,x22) % 0.48/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.48/0.58 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.48/0.58 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 0.48/0.58 [6]~E(x61,x62)+E(f8(x61,x63),f8(x62,x63)) % 0.48/0.58 [7]~E(x71,x72)+E(f8(x73,x71),f8(x73,x72)) % 0.48/0.58 [8]~E(x81,x82)+E(f7(x81),f7(x82)) % 0.48/0.58 [9]~E(x91,x92)+E(f9(x91,x93),f9(x92,x93)) % 0.48/0.58 [10]~E(x101,x102)+E(f9(x103,x101),f9(x103,x102)) % 0.48/0.58 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113)) % 0.48/0.58 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122)) % 0.48/0.58 % 0.48/0.58 %------------------------------------------- % 0.48/0.59 cnf(27,plain, % 0.48/0.59 (~E(f8(f7(x271),a4),a4)), % 0.48/0.59 inference(scs_inference,[],[24,21,2,3,6])). % 0.48/0.59 cnf(31,plain, % 0.48/0.59 (E(a4,f5(x311,a3))), % 0.48/0.59 inference(scs_inference,[],[19,2])). % 0.48/0.59 cnf(51,plain, % 0.48/0.59 (E(a4,f8(a3,a4))), % 0.48/0.59 inference(scs_inference,[],[17,2])). % 0.48/0.59 cnf(52,plain, % 0.48/0.59 (E(f8(a3,a4),f5(x521,a3))), % 0.48/0.59 inference(scs_inference,[],[31,17,2,3])). % 0.48/0.59 cnf(54,plain, % 0.48/0.59 (E(f8(a4,a3),f8(a3,a4))), % 0.48/0.59 inference(scs_inference,[],[51,52,18,2,3])). % 0.48/0.59 cnf(56,plain, % 0.48/0.59 (E(f6(a3),f8(a3,a4))), % 0.48/0.59 inference(scs_inference,[],[51,54,14,2,3])). % 0.48/0.59 cnf(57,plain, % 0.48/0.59 (E(f8(a3,a4),f6(a3))), % 0.48/0.59 inference(scs_inference,[],[56,2])). % 0.48/0.59 cnf(69,plain, % 0.48/0.59 (~E(f8(f7(x691),a4),f6(a3))), % 0.48/0.59 inference(scs_inference,[],[27,14,22,2,3])). % 0.48/0.59 cnf(71,plain, % 0.48/0.59 ($false), % 0.48/0.59 inference(scs_inference,[],[57,69,16,3,6]), % 0.48/0.59 ['proof']). % 0.48/0.59 % SZS output end Proof % 0.48/0.59 % Total time :0.020000s %------------------------------------------------------------------------------