%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN347-1 : TPTP v8.2.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 19:05:16 EDT 2024 % Result : Unsatisfiable 0.55s 0.65s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN347-1 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.36 % Computer : n020.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Sun Jun 23 21:05:54 EDT 2024 % 0.13/0.36 % CPUTime : % 0.55/0.60 start to proof:theBenchmark % 0.55/0.65 %------------------------------------------- % 0.55/0.65 % File :CSE---1.7 % 0.55/0.65 % Problem :theBenchmark % 0.55/0.65 % Transform :cnf % 0.55/0.65 % Format :tptp:raw % 0.55/0.65 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.65 % 0.55/0.65 % Result :Theorem 0.010000s % 0.55/0.65 % Output :CNFRefutation 0.010000s % 0.55/0.65 %------------------------------------------- % 0.55/0.65 %-------------------------------------------------------------------------- % 0.55/0.65 % File : SYN347-1 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.55/0.65 % Domain : Syntactic % 0.55/0.65 % Problem : Church problem 46.17 (3) % 0.55/0.65 % Version : Especial. % 0.55/0.65 % English : % 0.55/0.65 % 0.55/0.65 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.55/0.65 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De % 0.55/0.65 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe. % 0.55/0.65 % Source : [Tam94] % 0.55/0.65 % Names : Ch17N3 [Tam94] % 0.55/0.65 % 0.55/0.65 % Status : Unsatisfiable % 0.55/0.65 % Rating : 0.00 v2.0.0 % 0.55/0.65 % Syntax : Number of clauses : 6 ( 0 unt; 4 nHn; 4 RR) % 0.55/0.65 % Number of literals : 16 ( 0 equ; 8 neg) % 0.55/0.65 % Maximal clause size : 3 ( 2 avg) % 0.55/0.65 % Maximal term depth : 2 ( 1 avg) % 0.55/0.65 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.55/0.65 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty) % 0.55/0.65 % Number of variables : 12 ( 0 sgn) % 0.55/0.65 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.55/0.65 % 0.55/0.65 % Comments : All the problems here can be decided by using a certain % 0.55/0.65 % completeness-preserving term ordering strategies. See [FL+93]. % 0.55/0.65 % : The conversion from the full 1st order form in [Chu56] % 0.55/0.65 % to clause form was done by hand by Tanel Tammet. % 0.55/0.65 % Bugfixes : v1.2.1 - Clause clause4 fixed. % 0.55/0.65 %-------------------------------------------------------------------------- % 0.55/0.65 cnf(clause1,negated_conjecture, % 0.55/0.65 ( f(X1,y(X1,X2)) % 0.55/0.65 | ~ f(X2,y(X1,X2)) % 0.55/0.65 | f(a,b) ) ). % 0.55/0.65 % 0.55/0.65 cnf(clause2,negated_conjecture, % 0.55/0.65 ( ~ f(X1,y(X1,X2)) % 0.55/0.65 | f(X2,y(X1,X2)) % 0.55/0.65 | f(a,b) ) ). % 0.55/0.65 % 0.55/0.65 cnf(clause3,negated_conjecture, % 0.55/0.65 ( ~ f(X1,y(X1,X2)) % 0.55/0.65 | ~ f(X2,y(X1,X2)) % 0.55/0.65 | ~ f(a,b) ) ). % 0.55/0.65 % 0.55/0.65 cnf(clause4,negated_conjecture, % 0.55/0.65 ( f(X1,y(X1,X2)) % 0.55/0.65 | f(X2,y(X1,X2)) % 0.55/0.65 | ~ f(a,b) ) ). % 0.55/0.65 % 0.55/0.65 cnf(clause5,negated_conjecture, % 0.55/0.65 ( f(a,y(X1,X2)) % 0.55/0.65 | f(b,y(X1,X2)) ) ). % 0.55/0.65 % 0.55/0.65 cnf(clause6,negated_conjecture, % 0.55/0.65 ( ~ f(a,y(X1,X2)) % 0.55/0.65 | ~ f(b,y(X1,X2)) ) ). % 0.55/0.65 % 0.55/0.65 %-------------------------------------------------------------------------- % 0.55/0.65 %------------------------------------------- % 0.55/0.65 % Proof found % 0.55/0.65 % SZS status Theorem for theBenchmark % 0.55/0.65 % SZS output start Proof % 0.55/0.66 %ClaNum:6(EqnAxiom:0) % 0.55/0.66 %VarNum:32(SingletonVarNum:12) % 0.55/0.66 %MaxLitNum:3 % 0.55/0.66 %MaxfuncDepth:1 % 0.55/0.66 %SharedTerms:4 % 0.55/0.66 %goalClause: 1 2 3 4 5 6 % 0.55/0.66 [1]P1(a1,f2(x11,x12))+P1(a3,f2(x11,x12)) % 0.55/0.66 [5]~P1(a1,f2(x51,x52))+~P1(a3,f2(x51,x52)) % 0.55/0.66 [2]P1(x21,f2(x22,x21))+P1(x22,f2(x22,x21))+~P1(a1,a3) % 0.55/0.66 [3]P1(x31,f2(x32,x31))+~P1(x32,f2(x32,x31))+P1(a1,a3) % 0.55/0.66 [4]P1(a1,a3)+P1(x41,f2(x41,x42))+~P1(x42,f2(x41,x42)) % 0.55/0.66 [6]~P1(a1,a3)+~P1(x61,f2(x62,x61))+~P1(x62,f2(x62,x61)) % 0.55/0.66 %EqnAxiom % 0.55/0.66 % 0.55/0.66 %------------------------------------------- % 0.58/0.66 cnf(8,plain, % 0.58/0.66 (P1(x81,f2(x81,a1))+~P1(a1,a3)+~P1(a3,f2(x81,a1))), % 0.58/0.66 inference(scs_inference,[],[2,5])). % 0.58/0.66 cnf(9,plain, % 0.58/0.66 (~P1(x91,f2(x91,a1))+P1(a1,a3)+~P1(a3,f2(x91,a1))), % 0.58/0.66 inference(scs_inference,[],[3,5])). % 0.58/0.66 cnf(10,plain, % 0.58/0.66 (~P1(a1,f2(a3,a1))+P1(a1,a3)), % 0.58/0.66 inference(scs_inference,[],[4,9])). % 0.58/0.66 cnf(11,plain, % 0.58/0.66 (~P1(x111,f2(x112,x111))+~P1(x112,f2(x112,x111))+~P1(a1,f2(a3,a1))), % 0.58/0.66 inference(scs_inference,[],[10,6])). % 0.58/0.66 cnf(12,plain, % 0.58/0.66 (~P1(a1,a3)+~P1(a3,f2(a1,a1))), % 0.58/0.66 inference(scs_inference,[],[8,6])). % 0.58/0.66 cnf(13,plain, % 0.58/0.66 (~P1(a3,f2(a1,a1))+~P1(a1,f2(a3,a1))), % 0.58/0.66 inference(scs_inference,[],[12,10])). % 0.58/0.66 cnf(14,plain, % 0.58/0.66 (~P1(a1,f2(a3,a1))+P1(a1,f2(a1,a1))), % 0.58/0.66 inference(scs_inference,[],[13,1])). % 0.58/0.66 cnf(15,plain, % 0.58/0.66 (~P1(a1,f2(a3,a1))), % 0.58/0.66 inference(scs_inference,[],[14,11])). % 0.58/0.66 cnf(21,plain, % 0.58/0.66 (~P1(a3,f2(a3,a1))+P1(a1,a3)), % 0.58/0.66 inference(scs_inference,[],[15,3])). % 0.58/0.66 cnf(25,plain, % 0.58/0.66 (P1(a1,a3)), % 0.58/0.66 inference(scs_inference,[],[15,21,1])). % 0.58/0.66 cnf(27,plain, % 0.58/0.66 (~P1(x271,f2(x272,x271))+~P1(x272,f2(x272,x271))), % 0.58/0.66 inference(scs_inference,[],[25,6])). % 0.58/0.66 cnf(29,plain, % 0.58/0.66 (~P1(a3,f2(a1,a1))), % 0.58/0.66 inference(scs_inference,[],[25,12])). % 0.58/0.66 cnf(33,plain, % 0.58/0.66 ($false), % 0.58/0.66 inference(scs_inference,[],[29,1,27]), % 0.58/0.66 ['proof']). % 0.58/0.66 % SZS output end Proof % 0.58/0.66 % Total time :0.010000s %------------------------------------------------------------------------------