%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN056+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 19:04:23 EDT 2024 % Result : Theorem 0.57s 0.63s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN056+1 : TPTP v8.2.0. Released v2.0.0. % 0.07/0.12 % 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 21:13:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.57/0.63 %------------------------------------------- % 0.57/0.63 % File :CSE---1.7 % 0.57/0.63 % Problem :theBenchmark % 0.57/0.63 % Transform :cnf % 0.57/0.63 % Format :tptp:raw % 0.57/0.63 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.63 % 0.57/0.63 % Result :Theorem 0.030000s % 0.57/0.63 % Output :CNFRefutation 0.030000s % 0.57/0.63 %------------------------------------------- % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 % File : SYN056+1 : TPTP v8.2.0. Released v2.0.0. % 0.57/0.63 % Domain : Syntactic % 0.57/0.63 % Problem : Pelletier Problem 26 % 0.57/0.63 % Version : Especial. % 0.57/0.63 % English : % 0.57/0.63 % 0.57/0.63 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.57/0.63 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.57/0.63 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.57/0.63 % Source : [Hah94] % 0.57/0.63 % Names : Pelletier 26 [Pel86] % 0.57/0.63 % 0.57/0.63 % Status : Theorem % 0.57/0.63 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v2.1.0 % 0.57/0.63 % Syntax : Number of formulae : 3 ( 0 unt; 0 def) % 0.57/0.63 % Number of atoms : 10 ( 0 equ) % 0.57/0.63 % Maximal formula atoms : 4 ( 3 avg) % 0.57/0.63 % Number of connectives : 7 ( 0 ~; 0 |; 1 &) % 0.57/0.63 % ( 3 <=>; 3 =>; 0 <=; 0 <~>) % 0.57/0.63 % Maximal formula depth : 5 ( 4 avg) % 0.57/0.63 % Maximal term depth : 1 ( 1 avg) % 0.57/0.63 % Number of predicates : 4 ( 4 usr; 0 prp; 1-1 aty) % 0.57/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.57/0.63 % Number of variables : 6 ( 4 !; 2 ?) % 0.57/0.63 % SPC : FOF_THM_EPR_NEQ % 0.57/0.63 % 0.57/0.63 % Comments : % 0.57/0.63 %-------------------------------------------------------------------------- % 0.57/0.63 fof(pel26_1,axiom, % 0.57/0.63 ( ? [X] : big_p(X) % 0.57/0.63 <=> ? [Y] : big_q(Y) ) ). % 0.57/0.63 % 0.57/0.63 fof(pel26_2,axiom, % 0.57/0.63 ! [X,Y] : % 0.57/0.63 ( ( big_p(X) % 0.57/0.63 & big_q(Y) ) % 0.57/0.63 => ( big_r(X) % 0.57/0.63 <=> big_s(Y) ) ) ). % 0.57/0.63 % 0.57/0.63 fof(pel26,conjecture, % 0.57/0.63 ( ! [X] : % 0.57/0.63 ( big_p(X) % 0.57/0.63 => big_r(X) ) % 0.57/0.63 <=> ! [Y] : % 0.57/0.63 ( big_q(Y) % 0.57/0.63 => big_s(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 % 0.57/0.64 %ClaNum:9(EqnAxiom:0) % 0.57/0.64 %VarNum:14(SingletonVarNum:8) % 0.57/0.64 %MaxLitNum:4 % 0.57/0.64 %MaxfuncDepth:0 % 0.57/0.64 %SharedTerms:10 % 0.57/0.64 %goalClause: 1 2 3 4 7 % 0.57/0.64 [1]P1(a1)+P2(a4) % 0.57/0.64 [2]P1(a1)+~P3(a4) % 0.57/0.64 [3]P2(a4)+~P4(a1) % 0.57/0.64 [4]~P4(a1)+~P3(a4) % 0.57/0.64 [5]~P2(x51)+P1(a2) % 0.57/0.64 [6]~P1(x61)+P2(a3) % 0.57/0.64 [7]~P1(x71)+~P2(x72)+P4(x71)+P3(x72) % 0.57/0.64 [8]~P1(x81)+~P3(x82)+P4(x81)+~P2(x82) % 0.57/0.64 [9]~P2(x91)+~P4(x92)+P3(x91)+~P1(x92) % 0.57/0.64 %EqnAxiom % 0.57/0.64 % 0.57/0.64 %------------------------------------------- % 0.57/0.64 cnf(10,plain, % 0.57/0.64 (P2(a4)+P2(a3)), % 0.57/0.64 inference(scs_inference,[],[1,6])). % 0.57/0.64 cnf(11,plain, % 0.57/0.64 (~P3(a4)+P2(a3)), % 0.57/0.64 inference(scs_inference,[],[2,6])). % 0.57/0.64 cnf(12,plain, % 0.57/0.64 (~P4(a1)+P1(a2)), % 0.57/0.64 inference(scs_inference,[],[3,5])). % 0.57/0.64 cnf(13,plain, % 0.57/0.64 (P2(a3)+P1(a2)), % 0.57/0.64 inference(scs_inference,[],[10,5])). % 0.57/0.64 cnf(15,plain, % 0.57/0.64 (~P4(a1)+P2(a3)), % 0.57/0.64 inference(scs_inference,[],[12,6])). % 0.57/0.64 cnf(16,plain, % 0.57/0.64 (P1(a2)), % 0.57/0.64 inference(scs_inference,[],[13,5])). % 0.57/0.64 cnf(17,plain, % 0.57/0.64 (P2(a3)), % 0.57/0.64 inference(scs_inference,[],[16,6])). % 0.57/0.64 cnf(18,plain, % 0.57/0.64 (P4(a2)+P3(a3)+~P4(a1)), % 0.57/0.64 inference(scs_inference,[],[16,15,7])). % 0.57/0.64 cnf(19,plain, % 0.57/0.64 (P3(a3)+~P4(a1)), % 0.57/0.64 inference(scs_inference,[],[16,17,18,9])). % 0.57/0.64 cnf(20,plain, % 0.57/0.64 (P4(a2)+~P4(a1)), % 0.57/0.64 inference(scs_inference,[],[17,16,19,8])). % 0.57/0.64 cnf(21,plain, % 0.57/0.64 (P3(a3)+~P1(a1)+P4(a2)), % 0.57/0.64 inference(scs_inference,[],[17,20,7])). % 0.57/0.64 cnf(22,plain, % 0.57/0.64 (~P1(a1)+P4(a2)), % 0.57/0.64 inference(scs_inference,[],[17,16,21,8])). % 0.57/0.64 cnf(23,plain, % 0.57/0.64 (P4(a2)+P2(a4)), % 0.57/0.64 inference(scs_inference,[],[22,1])). % 0.57/0.64 cnf(24,plain, % 0.57/0.64 (P3(a3)+P2(a4)), % 0.57/0.64 inference(scs_inference,[],[16,17,23,9])). % 0.57/0.64 cnf(25,plain, % 0.57/0.64 (P4(a2)+P3(a4)+P3(a3)), % 0.57/0.64 inference(scs_inference,[],[16,24,7])). % 0.57/0.64 cnf(26,plain, % 0.57/0.64 (P3(a4)+P3(a3)), % 0.57/0.64 inference(scs_inference,[],[16,17,25,9])). % 0.57/0.64 cnf(27,plain, % 0.57/0.64 (P3(a3)+P1(a1)), % 0.57/0.64 inference(scs_inference,[],[26,2])). % 0.57/0.64 cnf(28,plain, % 0.57/0.64 (P4(a2)+P1(a1)), % 0.57/0.64 inference(scs_inference,[],[17,16,27,8])). % 0.57/0.64 cnf(29,plain, % 0.57/0.64 (P4(a2)), % 0.57/0.64 inference(scs_inference,[],[28,22])). % 0.57/0.64 cnf(33,plain, % 0.57/0.64 (P4(a1)+~P3(a3)+P2(a4)), % 0.57/0.64 inference(scs_inference,[],[17,1,8])). % 0.57/0.64 cnf(34,plain, % 0.57/0.64 (~P3(a3)+P2(a4)), % 0.57/0.64 inference(scs_inference,[],[33,3])). % 0.57/0.64 cnf(35,plain, % 0.57/0.64 (P2(a4)), % 0.57/0.64 inference(scs_inference,[],[29,17,16,34,9])). % 0.57/0.64 cnf(36,plain, % 0.57/0.64 (P1(a1)), % 0.57/0.64 inference(scs_inference,[],[29,35,16,2,9])). % 0.57/0.64 cnf(37,plain, % 0.57/0.64 (P3(a3)+~P3(a4)), % 0.57/0.64 inference(scs_inference,[],[29,16,11,9])). % 0.57/0.64 cnf(38,plain, % 0.57/0.64 (P4(a1)+~P3(a4)), % 0.57/0.64 inference(scs_inference,[],[36,17,37,8])). % 0.57/0.64 cnf(39,plain, % 0.57/0.64 (~P3(a4)), % 0.57/0.64 inference(scs_inference,[],[38,4])). % 0.57/0.64 cnf(41,plain, % 0.57/0.64 ($false), % 0.57/0.64 inference(scs_inference,[],[16,39,35,29,9]), % 0.57/0.64 ['proof']). % 0.57/0.64 % SZS output end Proof % 0.57/0.64 % Total time :0.030000s %------------------------------------------------------------------------------