%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SET047+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 : 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 14:20:18 EDT 2024 % Result : Theorem 0.56s 0.62s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET047+1 : TPTP v8.2.0. Released v2.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n019.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 15:25:53 EDT 2024 % 0.12/0.33 % CPUTime : % 0.53/0.57 start to proof:theBenchmark % 0.56/0.61 %------------------------------------------- % 0.56/0.61 % File :CSE---1.7 % 0.56/0.61 % Problem :theBenchmark % 0.56/0.61 % Transform :cnf % 0.56/0.61 % Format :tptp:raw % 0.56/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.61 % 0.56/0.61 % Result :Theorem 0.010000s % 0.56/0.61 % Output :CNFRefutation 0.010000s % 0.56/0.61 %------------------------------------------- % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 % File : SET047+1 : TPTP v8.2.0. Released v2.0.0. % 0.56/0.62 % Domain : Set Theory % 0.56/0.62 % Problem : Set equality is symmetric % 0.56/0.62 % Version : Especial. % 0.56/0.62 % English : Define set equality as having exactly the same members. Prove % 0.56/0.62 % set equality is symmetric. % 0.56/0.62 % 0.56/0.62 % Refs : [DeC79] DeChampeaux (1979), Sub-problem Finder and Instance Ch % 0.56/0.62 % : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.56/0.62 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.56/0.62 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.56/0.62 % Source : [Pel86] % 0.56/0.62 % Names : Pelletier 43 [Pel86] % 0.56/0.62 % 0.56/0.62 % Status : Theorem % 0.56/0.62 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.50 v5.5.0, 0.04 v5.3.0, 0.17 v5.2.0, 0.00 v4.0.0, 0.05 v3.7.0, 0.00 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.1.0 % 0.56/0.62 % Syntax : Number of formulae : 2 ( 0 unt; 0 def) % 0.56/0.62 % Number of atoms : 5 ( 0 equ) % 0.56/0.62 % Maximal formula atoms : 3 ( 2 avg) % 0.56/0.62 % Number of connectives : 3 ( 0 ~; 0 |; 0 &) % 0.56/0.62 % ( 3 <=>; 0 =>; 0 <=; 0 <~>) % 0.56/0.62 % Maximal formula depth : 6 ( 5 avg) % 0.56/0.62 % Maximal term depth : 1 ( 1 avg) % 0.56/0.62 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty) % 0.56/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.56/0.62 % Number of variables : 5 ( 5 !; 0 ?) % 0.56/0.62 % SPC : FOF_THM_RFO_NEQ % 0.56/0.62 % 0.56/0.62 % Comments : The version in [Hah94] is a bit expanded. % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 fof(pel43_1,axiom, % 0.56/0.62 ! [X,Y] : % 0.56/0.62 ( set_equal(X,Y) % 0.56/0.62 <=> ! [Z] : % 0.56/0.62 ( element(Z,X) % 0.56/0.62 <=> element(Z,Y) ) ) ). % 0.56/0.62 % 0.56/0.62 fof(pel43,conjecture, % 0.56/0.62 ! [X,Y] : % 0.56/0.62 ( set_equal(X,Y) % 0.56/0.62 <=> set_equal(Y,X) ) ). % 0.56/0.62 % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % Proof found % 0.56/0.62 % SZS status Theorem for theBenchmark % 0.56/0.62 % SZS output start Proof % 0.56/0.62 %ClaNum:6(EqnAxiom:0) % 0.56/0.62 %VarNum:28(SingletonVarNum:10) % 0.56/0.62 %MaxLitNum:3 % 0.56/0.62 %MaxfuncDepth:1 % 0.56/0.62 %SharedTerms:6 % 0.56/0.62 %goalClause: 1 2 % 0.56/0.62 [1]P1(a1,a3)+P1(a3,a1) % 0.56/0.62 [2]~P1(a1,a3)+~P1(a3,a1) % 0.56/0.62 [5]P1(x51,x52)+P2(f2(x51,x52),x52)+P2(f2(x51,x52),x51) % 0.56/0.62 [6]P1(x61,x62)+~P2(f2(x61,x62),x62)+~P2(f2(x61,x62),x61) % 0.56/0.62 [3]~P2(x31,x33)+P2(x31,x32)+~P1(x32,x33) % 0.56/0.62 [4]~P2(x41,x43)+P2(x41,x42)+~P1(x43,x42) % 0.56/0.62 %EqnAxiom % 0.56/0.62 % 0.56/0.62 %------------------------------------------- % 0.56/0.62 cnf(8,plain, % 0.56/0.62 (~P2(x81,a3)+P2(x81,a1)+P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[3,1])). % 0.56/0.62 cnf(9,plain, % 0.56/0.62 (~P2(x91,a1)+P2(x91,a3)+P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[4,1])). % 0.56/0.62 cnf(12,plain, % 0.56/0.62 (~P2(f2(a1,a3),a3)+~P2(f2(a1,a3),a1)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[6,2])). % 0.56/0.62 cnf(15,plain, % 0.56/0.62 (~P2(x151,a1)+P2(x151,a3)+P1(a1,a3)), % 0.56/0.62 inference(scs_inference,[],[1,3])). % 0.56/0.62 cnf(16,plain, % 0.56/0.62 (~P2(f2(a1,a3),a1)+P1(a1,a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[15,12])). % 0.56/0.62 cnf(17,plain, % 0.56/0.62 (P1(a1,a3)+P2(f2(a1,a3),a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[16,5])). % 0.56/0.62 cnf(18,plain, % 0.56/0.62 (P2(f2(a1,a3),a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[17,2])). % 0.56/0.62 cnf(19,plain, % 0.56/0.62 (~P1(a3,x191)+P2(f2(a1,a3),x191)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[18,4])). % 0.56/0.62 cnf(20,plain, % 0.56/0.62 (~P2(f2(a1,a3),a1)+~P1(a3,a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[19,12])). % 0.56/0.62 cnf(21,plain, % 0.56/0.62 (~P1(a3,a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[20,19])). % 0.56/0.62 cnf(22,plain, % 0.56/0.62 (~P2(f2(a3,a3),a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[21,6])). % 0.56/0.62 cnf(23,plain, % 0.56/0.62 (P1(a3,a3)+~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[22,5])). % 0.56/0.62 cnf(24,plain, % 0.56/0.62 (~P1(a3,a1)), % 0.56/0.62 inference(scs_inference,[],[23,21])). % 0.56/0.62 cnf(26,plain, % 0.56/0.62 (P2(x261,a1)+~P2(x261,a3)), % 0.56/0.62 inference(scs_inference,[],[24,8])). % 0.56/0.62 cnf(27,plain, % 0.56/0.62 (P2(x271,a3)+~P2(x271,a1)), % 0.56/0.62 inference(scs_inference,[],[24,9])). % 0.56/0.62 cnf(31,plain, % 0.56/0.62 (~P2(f2(a3,a1),a3)), % 0.56/0.62 inference(scs_inference,[],[24,26,6])). % 0.56/0.62 cnf(34,plain, % 0.56/0.62 ($false), % 0.56/0.62 inference(scs_inference,[],[24,31,5,27]), % 0.56/0.62 ['proof']). % 0.56/0.62 % SZS output end Proof % 0.56/0.62 % Total time :0.010000s %------------------------------------------------------------------------------