%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : COL104-2 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/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 04:45:11 EDT 2024 % Result : Unsatisfiable 0.22s 0.67s % Output : CNFRefutation 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.15 % Problem : COL104-2 : TPTP v8.2.0. Released v3.2.0. % 0.03/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.37 % Computer : n022.cluster.edu % 0.14/0.37 % Model : x86_64 x86_64 % 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.37 % Memory : 8042.1875MB % 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.37 % CPULimit : 300 % 0.14/0.37 % WCLimit : 300 % 0.14/0.37 % DateTime : Tue Jun 18 16:25:54 EDT 2024 % 0.14/0.37 % CPUTime : % 0.22/0.62 start to proof:theBenchmark % 0.22/0.67 %------------------------------------------- % 0.22/0.67 % File :CSE---1.7 % 0.22/0.67 % Problem :theBenchmark % 0.22/0.67 % Transform :cnf % 0.22/0.67 % Format :tptp:raw % 0.22/0.67 % Command :java -jar mcs_scs.jar %d %s % 0.22/0.67 % 0.22/0.67 % Result :Theorem 0.000000s % 0.22/0.67 % Output :CNFRefutation 0.000000s % 0.22/0.67 %------------------------------------------- % 0.22/0.67 %------------------------------------------------------------------------------ % 0.22/0.67 % File : COL104-2 : TPTP v8.2.0. Released v3.2.0. % 0.22/0.67 % Domain : Combinatory Logic % 0.22/0.67 % Problem : Problem about combinators % 0.22/0.67 % Version : [Pau06] axioms : Reduced > Especial. % 0.22/0.67 % English : % 0.22/0.67 % 0.22/0.67 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe % 0.22/0.67 % Source : [Pau06] % 0.22/0.67 % Names : % 0.22/0.67 % 0.22/0.67 % Status : Unsatisfiable % 0.22/0.67 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.00 v3.2.0 % 0.22/0.67 % Syntax : Number of clauses : 6 ( 3 unt; 0 nHn; 5 RR) % 0.22/0.67 % Number of literals : 10 ( 0 equ; 5 neg) % 0.22/0.67 % Maximal clause size : 3 ( 1 avg) % 0.22/0.67 % Maximal term depth : 3 ( 1 avg) % 0.22/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty) % 0.22/0.67 % Number of functors : 10 ( 10 usr; 6 con; 0-4 aty) % 0.22/0.67 % Number of variables : 11 ( 0 sgn) % 0.22/0.67 % SPC : CNF_UNS_RFO_NEQ_HRN % 0.22/0.67 % 0.22/0.67 % Comments : The problems in the [Pau06] collection each have very many axioms, % 0.22/0.67 % of which only a small selection are required for the refutation. % 0.22/0.67 % The mission is to find those few axioms, after which a refutation % 0.22/0.67 % can be quite easily found. This version has only the necessary % 0.22/0.67 % axioms. % 0.22/0.67 %------------------------------------------------------------------------------ % 0.22/0.67 cnf(cls_conjecture_1,negated_conjecture, % 0.22/0.67 c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ). % 0.22/0.67 % 0.22/0.67 cnf(cls_conjecture_2,negated_conjecture, % 0.22/0.67 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ). % 0.22/0.67 % 0.22/0.67 cnf(cls_conjecture_3,negated_conjecture, % 0.22/0.67 ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ). % 0.22/0.67 % 0.22/0.67 cnf(cls_Comb_Ocontract_OAp2_0,axiom, % 0.22/0.67 ( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) % 0.22/0.67 | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_z,V_x),c_Comb_Ocomb_Oop_A_D_D(V_z,V_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ). % 0.22/0.67 % 0.22/0.67 cnf(cls_Transitive__Closure_Or__into__rtrancl_0,axiom, % 0.22/0.67 ( ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) % 0.22/0.67 | c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.22/0.67 % 0.22/0.67 cnf(cls_Transitive__Closure_Ortrancl__trans_0,axiom, % 0.22/0.67 ( ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.22/0.67 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.22/0.67 | c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.22/0.67 % 0.22/0.67 %------------------------------------------------------------------------------ % 0.22/0.67 %------------------------------------------- % 0.22/0.67 % Proof found % 0.22/0.67 % SZS status Theorem for theBenchmark % 0.22/0.67 % SZS output start Proof % 0.22/0.68 %ClaNum:6(EqnAxiom:0) % 0.22/0.68 %VarNum:39(SingletonVarNum:11) % 0.22/0.68 %MaxLitNum:3 % 0.22/0.68 %MaxfuncDepth:2 % 0.22/0.68 %SharedTerms:17 % 0.22/0.68 %goalClause: 1 2 3 % 0.22/0.68 %singleGoalClaCount:3 % 0.22/0.68 [1]P1(f3(a1,a9,a2,a2),a4,f7(a2,a2)) % 0.22/0.68 [2]P1(f3(f5(a10,a8),f5(a10,a1),a2,a2),f6(a4,a2),f7(a2,a2)) % 0.22/0.68 [3]~P1(f3(f5(a10,a8),f5(a10,a9),a2,a2),f6(a4,a2),f7(a2,a2)) % 0.22/0.68 [4]~P1(x41,x42,f7(x43,x43))+P1(x41,f6(x42,x43),f7(x43,x43)) % 0.22/0.68 [5]~P1(f3(x52,x53,a2,a2),a4,f7(a2,a2))+P1(f3(f5(x51,x52),f5(x51,x53),a2,a2),a4,f7(a2,a2)) % 0.22/0.68 [6]P1(f3(x61,x62,x63,x63),f6(x64,x63),f7(x63,x63))+~P1(f3(x65,x62,x63,x63),f6(x64,x63),f7(x63,x63))+~P1(f3(x61,x65,x63,x63),f6(x64,x63),f7(x63,x63)) % 0.22/0.68 %EqnAxiom % 0.22/0.68 % 0.22/0.68 %------------------------------------------- % 0.22/0.68 cnf(11,plain, % 0.22/0.68 (~P1(f3(f5(a10,a1),f5(a10,a9),a2,a2),f6(a4,a2),f7(a2,a2))), % 0.22/0.68 inference(scs_inference,[],[3,2,4,5,6])). % 0.22/0.68 cnf(13,plain, % 0.22/0.68 (~P1(f3(f5(a10,a1),f5(a10,a9),a2,a2),a4,f7(a2,a2))), % 0.22/0.68 inference(scs_inference,[],[11,4])). % 0.22/0.68 cnf(19,plain, % 0.22/0.68 ($false), % 0.22/0.68 inference(scs_inference,[],[1,13,5]), % 0.22/0.68 ['proof']). % 0.22/0.68 % SZS output end Proof % 0.22/0.68 % Total time :0.000000s %------------------------------------------------------------------------------