%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN352-1 : TPTP v8.2.0. Released v1.2.0. % 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 : Mon Jun 24 19:05:17 EDT 2024 % Result : Unsatisfiable 0.57s 0.63s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN352-1 : TPTP v8.2.0. Released v1.2.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n001.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 20:31:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.57/0.62 %------------------------------------------- % 0.57/0.62 % File :CSE---1.7 % 0.57/0.62 % Problem :theBenchmark % 0.57/0.62 % Transform :cnf % 0.57/0.62 % Format :tptp:raw % 0.57/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.62 % 0.57/0.62 % Result :Theorem 0.030000s % 0.57/0.62 % Output :CNFRefutation 0.030000s % 0.57/0.62 %------------------------------------------- % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 % File : SYN352-1 : TPTP v8.2.0. Released v1.2.0. % 0.57/0.63 % Domain : Syntactic % 0.57/0.63 % Problem : Church problem 46.18 (4) % 0.57/0.63 % Version : Especial. % 0.57/0.63 % English : % 0.57/0.63 % 0.57/0.63 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I % 0.57/0.63 % : [FL+93] Fermuller et al. (1993), Resolution Methods for the De % 0.57/0.63 % : [Tam94] Tammet (1994), Email to Geoff Sutcliffe. % 0.57/0.63 % Source : [Tam94] % 0.57/0.63 % Names : Ch18N4 [Tam94] % 0.57/0.63 % 0.57/0.63 % Status : Unsatisfiable % 0.57/0.63 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.00 v2.0.0 % 0.57/0.63 % Syntax : Number of clauses : 7 ( 1 unt; 4 nHn; 5 RR) % 0.57/0.63 % Number of literals : 18 ( 0 equ; 7 neg) % 0.57/0.63 % Maximal clause size : 3 ( 2 avg) % 0.57/0.63 % Maximal term depth : 2 ( 1 avg) % 0.57/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty) % 0.57/0.63 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty) % 0.57/0.63 % Number of variables : 12 ( 0 sgn) % 0.57/0.63 % SPC : CNF_UNS_RFO_NEQ_NHN % 0.57/0.63 % 0.57/0.63 % Comments : All the problems here can be decided by using a certain % 0.57/0.63 % completeness-preserving term ordering strategies. See [FL+93]. % 0.57/0.63 % : The conversion from the full 1st order form in [Chu56] % 0.57/0.63 % to clause form was done by hand by Tanel Tammet. % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 cnf(clause1,negated_conjecture, % 0.57/0.63 f(a,b) ). % 0.57/0.63 % 0.57/0.63 cnf(clause2,negated_conjecture, % 0.57/0.63 ( ~ f(X,Y) % 0.57/0.63 | f(b,z(X,Y)) % 0.57/0.63 | f(Y,z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 cnf(clause3,negated_conjecture, % 0.57/0.63 ( f(X,Y) % 0.57/0.63 | f(z(X,Y),z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 cnf(clause4,negated_conjecture, % 0.57/0.63 ( f(b,z(X,Y)) % 0.57/0.63 | f(X,z(X,Y)) % 0.57/0.63 | f(z(X,Y),z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 cnf(clause5,negated_conjecture, % 0.57/0.63 ( ~ f(b,z(X,Y)) % 0.57/0.63 | ~ f(X,z(X,Y)) % 0.57/0.63 | f(z(X,Y),z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 cnf(clause6,negated_conjecture, % 0.57/0.63 ( ~ f(X,Y) % 0.57/0.63 | ~ f(X,z(X,Y)) % 0.57/0.63 | ~ f(Y,z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 cnf(clause7,negated_conjecture, % 0.57/0.63 ( ~ f(X,Y) % 0.57/0.63 | f(X,z(X,Y)) % 0.57/0.63 | f(Y,z(X,Y)) ) ). % 0.57/0.63 % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 %------------------------------------------- % 0.57/0.63 % Proof found % 0.57/0.63 % SZS status Theorem for theBenchmark % 0.57/0.63 % SZS output start Proof % 0.57/0.63 %ClaNum:7(EqnAxiom:0) % 0.57/0.63 %VarNum:47(SingletonVarNum:12) % 0.57/0.63 %MaxLitNum:3 % 0.57/0.63 %MaxfuncDepth:1 % 0.57/0.63 %SharedTerms:3 % 0.57/0.63 %goalClause: 1 2 3 4 5 6 7 % 0.57/0.63 %singleGoalClaCount:1 % 0.57/0.63 [1]P1(a1,a2) % 0.57/0.63 [2]P1(x21,x22)+P1(f3(x21,x22),f3(x21,x22)) % 0.57/0.63 [3]~P1(x32,x31)+P1(x31,f3(x32,x31))+P1(a2,f3(x32,x31)) % 0.57/0.63 [4]~P1(x42,x41)+P1(x41,f3(x42,x41))+P1(x42,f3(x42,x41)) % 0.57/0.63 [5]P1(f3(x51,x52),f3(x51,x52))+P1(x51,f3(x51,x52))+P1(a2,f3(x51,x52)) % 0.57/0.63 [6]~P1(x61,x62)+~P1(x62,f3(x61,x62))+~P1(x61,f3(x61,x62)) % 0.57/0.63 [7]P1(f3(x71,x72),f3(x71,x72))+~P1(x71,f3(x71,x72))+~P1(a2,f3(x71,x72)) % 0.57/0.63 %EqnAxiom % 0.57/0.63 % 0.57/0.63 %------------------------------------------- % 0.57/0.63 cnf(12,plain, % 0.57/0.63 (P1(f3(x121,x122),f3(f3(x121,x122),f3(x121,x122)))+~P1(x121,f3(x121,x122))+~P1(a2,f3(x121,x122))), % 0.57/0.63 inference(scs_inference,[],[7,4])). % 0.57/0.63 cnf(19,plain, % 0.57/0.63 (~P1(x191,f3(x191,x192))+~P1(f3(x191,x192),f3(x191,x192))+~P1(a2,f3(x191,x192))), % 0.57/0.63 inference(scs_inference,[],[12,6])). % 0.57/0.63 cnf(20,plain, % 0.57/0.63 (~P1(x201,f3(x201,x202))+~P1(a2,f3(x201,x202))), % 0.57/0.63 inference(scs_inference,[],[19,7])). % 0.57/0.63 cnf(23,plain, % 0.57/0.63 (P1(x231,x232)+P1(f3(x231,x232),f3(f3(x231,x232),f3(x231,x232)))), % 0.57/0.63 inference(scs_inference,[],[2,4])). % 0.57/0.63 cnf(27,plain, % 0.57/0.63 (P1(x271,x272)+~P1(f3(x271,x272),f3(f3(x271,x272),f3(x271,x272)))), % 0.57/0.63 inference(scs_inference,[],[2,6])). % 0.57/0.63 cnf(28,plain, % 0.57/0.63 (P1(x281,x282)), % 0.57/0.63 inference(scs_inference,[],[27,23])). % 0.57/0.63 cnf(29,plain, % 0.57/0.63 ($false), % 0.57/0.63 inference(scs_inference,[],[28,20]), % 0.57/0.63 ['proof']). % 0.57/0.63 % SZS output end Proof % 0.57/0.63 % Total time :0.030000s %------------------------------------------------------------------------------