%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN083+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n022.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 19:04:31 EDT 2024 % Result : Theorem 0.56s 0.61s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN083+1 : TPTP v8.2.0. Released v2.0.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Mon Jun 24 00:12:09 EDT 2024 % 0.13/0.33 % CPUTime : % 0.20/0.58 start to proof:theBenchmark % 0.56/0.60 %------------------------------------------- % 0.56/0.60 % File :CSE---1.7 % 0.56/0.60 % Problem :theBenchmark % 0.56/0.60 % Transform :cnf % 0.56/0.60 % Format :tptp:raw % 0.56/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.60 % 0.56/0.60 % Result :Theorem 0.000000s % 0.56/0.60 % Output :CNFRefutation 0.000000s % 0.56/0.60 %------------------------------------------- % 0.56/0.61 %-------------------------------------------------------------------------- % 0.56/0.61 % File : SYN083+1 : TPTP v8.2.0. Released v2.0.0. % 0.56/0.61 % Domain : Syntactic % 0.56/0.61 % Problem : Pelletier Problem 61 % 0.56/0.61 % Version : Especial. % 0.56/0.61 % English : % 0.56/0.61 % 0.56/0.61 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.56/0.61 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.56/0.61 % Source : [Hah94] % 0.56/0.61 % Names : Pelletier 61 [Pel86] % 0.56/0.61 % 0.56/0.61 % Status : Theorem % 0.56/0.61 % Rating : 0.05 v8.2.0, 0.04 v7.5.0, 0.05 v7.4.0, 0.00 v7.3.0, 0.08 v7.1.0, 0.09 v7.0.0, 0.07 v6.3.0, 0.14 v6.2.0, 0.18 v6.1.0, 0.08 v5.5.0, 0.12 v5.4.0, 0.11 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.12 v4.1.0, 0.09 v4.0.1, 0.10 v4.0.0, 0.11 v3.7.0, 0.00 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.00 v2.1.0 % 0.56/0.61 % Syntax : Number of formulae : 2 ( 2 unt; 0 def) % 0.56/0.61 % Number of atoms : 2 ( 2 equ) % 0.56/0.61 % Maximal formula atoms : 1 ( 1 avg) % 0.56/0.61 % Number of connectives : 0 ( 0 ~; 0 |; 0 &) % 0.56/0.61 % ( 0 <=>; 0 =>; 0 <=; 0 <~>) % 0.56/0.61 % Maximal formula depth : 5 ( 5 avg) % 0.56/0.61 % Maximal term depth : 4 ( 2 avg) % 0.56/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty) % 0.56/0.61 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty) % 0.56/0.61 % Number of variables : 7 ( 7 !; 0 ?) % 0.56/0.61 % SPC : FOF_THM_RFO_PEQ % 0.56/0.61 % 0.56/0.61 % Comments : % 0.56/0.61 %-------------------------------------------------------------------------- % 0.56/0.61 %----Problem axioms % 0.56/0.61 fof(p61_1,axiom, % 0.56/0.61 ! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z) ). % 0.56/0.61 % 0.56/0.61 fof(pel61,conjecture, % 0.56/0.61 ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W) ). % 0.56/0.61 % 0.56/0.61 %-------------------------------------------------------------------------- % 0.56/0.61 %------------------------------------------- % 0.56/0.61 % Proof found % 0.56/0.61 % SZS status Theorem for theBenchmark % 0.56/0.61 % SZS output start Proof % 0.56/0.61 %ClaNum:7(EqnAxiom:5) % 0.56/0.61 %VarNum:6(SingletonVarNum:3) % 0.56/0.61 %MaxLitNum:1 % 0.56/0.61 %MaxfuncDepth:3 % 0.56/0.61 %SharedTerms:11 % 0.56/0.61 %goalClause: 7 % 0.56/0.61 %singleGoalClaCount:1 % 0.56/0.61 [7]~E(f1(f1(f1(a2,a3),a4),a5),f1(a2,f1(a3,f1(a4,a5)))) % 0.56/0.61 [6]E(f1(f1(x61,x62),x63),f1(x61,f1(x62,x63))) % 0.56/0.61 %EqnAxiom % 0.56/0.61 [1]E(x11,x11) % 0.56/0.61 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.61 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43)) % 0.56/0.61 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52)) % 0.56/0.61 % 0.56/0.61 %------------------------------------------- % 0.56/0.61 cnf(9,plain, % 0.56/0.61 (~E(f1(f1(f1(a2,a3),a4),a5),f1(f1(a2,a3),f1(a4,a5)))), % 0.56/0.61 inference(scs_inference,[],[7,6,2,3])). % 0.56/0.61 cnf(11,plain, % 0.56/0.61 ($false), % 0.56/0.61 inference(scs_inference,[],[9,6]), % 0.56/0.61 ['proof']). % 0.56/0.61 % SZS output end Proof % 0.56/0.61 % Total time :0.000000s %------------------------------------------------------------------------------