%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN726+1 : TPTP v8.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 19:06:25 EDT 2024 % Result : Theorem 0.58s 0.69s % Output : CNFRefutation 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.15 % Problem : SYN726+1 : TPTP v8.2.0. Released v2.5.0. % 0.09/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.16/0.37 % Computer : n019.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.37 % DateTime : Sun Jun 23 22:41:39 EDT 2024 % 0.16/0.37 % CPUTime : % 0.56/0.62 start to proof:theBenchmark % 0.58/0.68 %------------------------------------------- % 0.58/0.68 % File :CSE---1.7 % 0.58/0.68 % Problem :theBenchmark % 0.58/0.68 % Transform :cnf % 0.58/0.68 % Format :tptp:raw % 0.58/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.58/0.68 % 0.58/0.68 % Result :Theorem 0.030000s % 0.58/0.68 % Output :CNFRefutation 0.030000s % 0.58/0.68 %------------------------------------------- % 0.58/0.69 %-------------------------------------------------------------------------- % 0.58/0.69 % File : SYN726+1 : TPTP v8.2.0. Released v2.5.0. % 0.58/0.69 % Domain : Syntactic % 0.58/0.69 % Problem : Peter Andrews Problem THM400 % 0.58/0.69 % Version : Especial. % 0.58/0.69 % English : % 0.58/0.69 % 0.58/0.69 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe % 0.58/0.69 % Source : [And97] % 0.58/0.69 % Names : THM400 [And97] % 0.58/0.69 % 0.58/0.69 % Status : Theorem % 0.58/0.69 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0 % 0.58/0.69 % Syntax : Number of formulae : 1 ( 0 unt; 0 def) % 0.58/0.69 % Number of atoms : 12 ( 0 equ) % 0.58/0.69 % Maximal formula atoms : 12 ( 12 avg) % 0.58/0.69 % Number of connectives : 11 ( 0 ~; 2 |; 5 &) % 0.58/0.69 % ( 0 <=>; 4 =>; 0 <=; 0 <~>) % 0.58/0.69 % Maximal formula depth : 10 ( 10 avg) % 0.58/0.69 % Maximal term depth : 1 ( 1 avg) % 0.58/0.69 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.58/0.69 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.58/0.69 % Number of variables : 14 ( 14 !; 0 ?) % 0.58/0.69 % SPC : FOF_THM_EPR_NEQ % 0.58/0.69 % 0.58/0.69 % Comments : % 0.58/0.69 %-------------------------------------------------------------------------- % 0.58/0.69 fof(thm400,conjecture, % 0.58/0.69 ( ( ( ! [X,Y,Z] : % 0.58/0.69 ( ( p(X,Y) % 0.58/0.69 & p(Y,Z) ) % 0.58/0.69 => p(X,Z) ) % 0.58/0.69 & ! [X,Y,Z] : % 0.58/0.69 ( ( q(X,Y) % 0.58/0.69 & q(Y,Z) ) % 0.58/0.69 => q(X,Z) ) % 0.58/0.69 & ! [X,Y] : % 0.58/0.69 ( q(X,Y) % 0.58/0.69 => q(Y,X) ) % 0.58/0.69 & ! [X,Y] : % 0.58/0.69 ( p(X,Y) % 0.58/0.69 | q(X,Y) ) ) % 0.58/0.69 => ! [X,Y] : p(X,Y) ) % 0.58/0.69 | ! [X,Y] : q(X,Y) ) ). % 0.58/0.69 % 0.58/0.69 %-------------------------------------------------------------------------- % 0.58/0.69 %------------------------------------------- % 0.58/0.69 % Proof found % 0.58/0.69 % SZS status Theorem for theBenchmark % 0.58/0.69 % SZS output start Proof % 0.58/0.69 %ClaNum:7(EqnAxiom:0) % 0.58/0.69 %VarNum:20(SingletonVarNum:10) % 0.58/0.69 %MaxLitNum:4 % 0.58/0.69 %MaxfuncDepth:0 % 0.58/0.69 %SharedTerms:9 % 0.58/0.69 %goalClause: 1 2 3 % 0.58/0.69 %singleGoalClaCount:3 % 0.58/0.69 [1]P1(a5000) % 0.58/0.69 [2]~P2(a1,a2) % 0.58/0.69 [3]~P3(a3,a4) % 0.58/0.69 [4]P3(x41,x42)+P2(x41,x42)+~P1(a5000) % 0.58/0.69 [5]~P3(x52,x51)+P3(x51,x52)+~P1(a5000) % 0.58/0.69 [6]~P2(x61,x63)+P2(x61,x62)+~P2(x63,x62)+~P1(a5000) % 0.58/0.69 [7]~P3(x71,x73)+P3(x71,x72)+~P3(x73,x72)+~P1(a5000) % 0.58/0.69 %EqnAxiom % 0.58/0.69 % 0.58/0.69 %------------------------------------------- % 0.58/0.70 cnf(8,plain, % 0.58/0.70 (P3(a1,a2)), % 0.58/0.70 inference(scs_inference,[],[1,2,4])). % 0.58/0.70 cnf(10,plain, % 0.58/0.70 (~P3(a4,a3)), % 0.58/0.70 inference(scs_inference,[],[1,2,3,4,5])). % 0.58/0.70 cnf(12,plain, % 0.58/0.70 (~P2(x121,a2)+~P2(a1,x121)), % 0.58/0.70 inference(scs_inference,[],[1,2,3,4,5,6])). % 0.58/0.70 cnf(14,plain, % 0.58/0.70 (~P3(x141,a1)+P3(x141,a2)), % 0.58/0.70 inference(scs_inference,[],[1,2,3,4,5,6,7])). % 0.58/0.70 cnf(16,plain, % 0.58/0.70 (P2(x161,x162)+P3(x161,x162)), % 0.58/0.70 inference(scs_inference,[],[1,4])). % 0.58/0.70 cnf(17,plain, % 0.58/0.70 (P3(x171,x172)+~P3(x172,x171)), % 0.58/0.70 inference(scs_inference,[],[1,5])). % 0.58/0.70 cnf(18,plain, % 0.58/0.70 (~P2(x181,x182)+~P2(x183,x181)+P2(x183,x182)), % 0.58/0.70 inference(scs_inference,[],[1,6])). % 0.58/0.70 cnf(19,plain, % 0.58/0.70 (~P3(x191,x192)+~P3(x193,x191)+P3(x193,x192)), % 0.58/0.70 inference(scs_inference,[],[1,7])). % 0.58/0.70 cnf(22,plain, % 0.58/0.70 (P3(a2,a1)), % 0.58/0.70 inference(scs_inference,[],[8,10,16,17])). % 0.58/0.70 cnf(24,plain, % 0.58/0.70 (~P3(x241,a3)+~P3(a4,x241)), % 0.58/0.70 inference(scs_inference,[],[8,10,16,17,19])). % 0.58/0.70 cnf(28,plain, % 0.58/0.70 (~P3(x281,a4)+~P3(a3,x281)), % 0.58/0.70 inference(scs_inference,[],[3,16,19])). % 0.58/0.70 cnf(30,plain, % 0.58/0.70 (P3(a1,x301)+~P2(x301,a2)), % 0.58/0.70 inference(scs_inference,[],[12,16])). % 0.58/0.70 cnf(32,plain, % 0.58/0.70 (~P3(x321,a4)+~P3(x321,a3)), % 0.58/0.70 inference(scs_inference,[],[24,17])). % 0.58/0.70 cnf(33,plain, % 0.58/0.70 (~P3(a2,a4)+~P3(a3,a1)), % 0.58/0.70 inference(scs_inference,[],[28,14])). % 0.58/0.70 cnf(34,plain, % 0.58/0.70 (P3(x341,a2)+P3(a1,x341)), % 0.58/0.70 inference(scs_inference,[],[30,16])). % 0.58/0.70 cnf(35,plain, % 0.58/0.70 (~P3(a1,a4)+P3(a3,a2)), % 0.58/0.70 inference(scs_inference,[],[32,34])). % 0.58/0.70 cnf(36,plain, % 0.58/0.70 (~P3(a4,a2)+~P3(a3,a1)), % 0.58/0.70 inference(scs_inference,[],[33,17])). % 0.58/0.70 cnf(37,plain, % 0.58/0.70 (~P2(a4,a2)+P3(a3,a2)), % 0.58/0.70 inference(scs_inference,[],[35,30])). % 0.58/0.70 cnf(38,plain, % 0.58/0.70 (P3(a1,a4)+~P3(a3,a1)), % 0.58/0.70 inference(scs_inference,[],[36,34])). % 0.58/0.70 cnf(39,plain, % 0.58/0.70 (P3(a4,a2)+P3(a3,a2)), % 0.58/0.70 inference(scs_inference,[],[37,16])). % 0.58/0.70 cnf(40,plain, % 0.58/0.70 (~P3(a3,a1)), % 0.58/0.70 inference(scs_inference,[],[38,28])). % 0.58/0.70 cnf(43,plain, % 0.58/0.70 (~P3(a3,a2)), % 0.58/0.70 inference(scs_inference,[],[22,40,16,19])). % 0.58/0.70 cnf(45,plain, % 0.58/0.70 (~P3(a1,a4)), % 0.58/0.70 inference(scs_inference,[],[43,35])). % 0.58/0.70 cnf(47,plain, % 0.58/0.70 (P3(a4,a2)), % 0.58/0.70 inference(scs_inference,[],[43,39])). % 0.58/0.70 cnf(57,plain, % 0.58/0.70 ($false), % 0.58/0.70 inference(scs_inference,[],[2,47,8,43,45,24,16,17,18,19]), % 0.58/0.70 ['proof']). % 0.58/0.70 % SZS output end Proof % 0.58/0.70 % Total time :0.030000s %------------------------------------------------------------------------------