%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN059+1 : TPTP v8.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.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 19:04:24 EDT 2024 % Result : Theorem 0.57s 0.73s % Output : CNFRefutation 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN059+1 : TPTP v8.2.0. Released v2.0.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.36 % Computer : n018.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sun Jun 23 21:56:24 EDT 2024 % 0.14/0.36 % CPUTime : % 0.56/0.60 start to proof:theBenchmark % 0.57/0.72 %------------------------------------------- % 0.57/0.72 % File :CSE---1.7 % 0.57/0.72 % Problem :theBenchmark % 0.57/0.72 % Transform :cnf % 0.57/0.72 % Format :tptp:raw % 0.57/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.57/0.72 % 0.57/0.72 % Result :Theorem 0.070000s % 0.57/0.72 % Output :CNFRefutation 0.070000s % 0.57/0.72 %------------------------------------------- % 0.57/0.73 %-------------------------------------------------------------------------- % 0.57/0.73 % File : SYN059+1 : TPTP v8.2.0. Released v2.0.0. % 0.57/0.73 % Domain : Syntactic % 0.57/0.73 % Problem : Pelletier Problem 29 % 0.57/0.73 % Version : Especial. % 0.57/0.73 % English : % 0.57/0.73 % 0.57/0.73 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal % 0.57/0.73 % : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 0.57/0.73 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 0.57/0.73 % Source : [Hah94] % 0.57/0.73 % Names : Pelletier 29 [Pel86] % 0.57/0.73 % 0.57/0.73 % Status : Theorem % 0.57/0.73 % Rating : 0.00 v2.1.0 % 0.57/0.73 % Syntax : Number of formulae : 3 ( 2 unt; 0 def) % 0.57/0.73 % Number of atoms : 10 ( 0 equ) % 0.57/0.73 % Maximal formula atoms : 8 ( 3 avg) % 0.57/0.73 % Number of connectives : 7 ( 0 ~; 0 |; 3 &) % 0.57/0.73 % ( 1 <=>; 3 =>; 0 <=; 0 <~>) % 0.57/0.73 % Maximal formula depth : 6 ( 3 avg) % 0.57/0.73 % Maximal term depth : 1 ( 1 avg) % 0.57/0.73 % Number of predicates : 4 ( 4 usr; 0 prp; 1-1 aty) % 0.57/0.73 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.57/0.73 % Number of variables : 6 ( 4 !; 2 ?) % 0.57/0.73 % SPC : FOF_THM_EPR_NEQ % 0.57/0.73 % 0.57/0.73 % Comments : % 0.57/0.73 %-------------------------------------------------------------------------- % 0.57/0.73 fof(pel29_1,axiom, % 0.57/0.73 ? [X] : big_f(X) ). % 0.57/0.73 % 0.57/0.73 fof(pel29_2,axiom, % 0.57/0.73 ? [Y] : big_g(Y) ). % 0.57/0.73 % 0.57/0.73 fof(pel29,conjecture, % 0.57/0.73 ( ( ! [X] : % 0.57/0.73 ( big_f(X) % 0.57/0.73 => big_h(X) ) % 0.57/0.73 & ! [U] : % 0.57/0.73 ( big_g(U) % 0.57/0.73 => big_j(U) ) ) % 0.57/0.73 <=> ! [W,Y] : % 0.57/0.73 ( ( big_f(W) % 0.57/0.73 & big_g(Y) ) % 0.57/0.73 => ( big_h(W) % 0.57/0.73 & big_j(Y) ) ) ) ). % 0.57/0.73 % 0.57/0.73 %-------------------------------------------------------------------------- % 0.57/0.73 %------------------------------------------- % 0.57/0.73 % Proof found % 0.57/0.73 % SZS status Theorem for theBenchmark % 0.57/0.73 % SZS output start Proof % 0.57/0.73 %ClaNum:18(EqnAxiom:0) % 0.57/0.73 %VarNum:10(SingletonVarNum:6) % 0.57/0.73 %MaxLitNum:5 % 0.57/0.73 %MaxfuncDepth:0 % 0.57/0.73 %SharedTerms:16 % 0.57/0.73 %goalClause: 3 4 5 6 7 8 9 10 11 12 13 14 15 18 % 0.57/0.73 [1]P1(a1) % 0.57/0.73 [2]P2(a2) % 0.57/0.73 [3]P1(a3)+P1(a4)+P2(a5) % 0.57/0.73 [4]P1(a3)+P2(a5)+P2(a6) % 0.57/0.73 [5]P1(a3)+P1(a4)+~P3(a5) % 0.57/0.73 [6]P1(a3)+P2(a6)+~P3(a5) % 0.57/0.73 [7]P1(a4)+P2(a5)+~P4(a3) % 0.57/0.73 [8]P2(a5)+P2(a6)+~P4(a3) % 0.57/0.73 [9]P1(a4)+~P4(a3)+~P3(a5) % 0.57/0.73 [10]P2(a6)+~P4(a3)+~P3(a5) % 0.57/0.73 [11]P1(a3)+P2(a5)+~P4(a4)+~P3(a6) % 0.57/0.73 [12]P1(a3)+~P4(a4)+~P3(a5)+~P3(a6) % 0.57/0.73 [13]P2(a5)+~P4(a3)+~P4(a4)+~P3(a6) % 0.57/0.73 [14]~P4(a3)+~P4(a4)+~P3(a5)+~P3(a6) % 0.57/0.73 [15]~P1(x151)+~P1(x152)+P4(x151)+P4(x152)+~P2(x153) % 0.57/0.73 [18]~P2(x181)+~P2(x182)+P3(x181)+P3(x182)+~P1(x183) % 0.57/0.73 %EqnAxiom % 0.57/0.73 % 0.57/0.73 %------------------------------------------- % 0.57/0.73 cnf(19,plain, % 0.57/0.73 (P4(x191)+P4(x192)+~P1(x191)+~P1(x192)), % 0.57/0.73 inference(scs_inference,[],[2,15])). % 0.57/0.73 cnf(20,plain, % 0.57/0.73 (P3(x201)+P3(x202)+~P2(x201)+~P2(x202)), % 0.57/0.74 inference(scs_inference,[],[1,18])). % 0.57/0.74 cnf(25,plain, % 0.57/0.74 (P4(a3)+P1(a4)+P2(a5)), % 0.57/0.74 inference(scs_inference,[],[3,19])). % 0.57/0.74 cnf(30,plain, % 0.57/0.74 (P4(a3)+P2(a5)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[4,19])). % 0.57/0.74 cnf(35,plain, % 0.57/0.74 (P4(a3)+P1(a4)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[5,19])). % 0.57/0.74 cnf(50,plain, % 0.57/0.74 (P3(a5)+P2(a6)+~P4(a3)), % 0.57/0.74 inference(scs_inference,[],[8,20])). % 0.57/0.74 cnf(55,plain, % 0.57/0.74 (P4(a4)+~P4(a3)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[9,19])). % 0.57/0.74 cnf(60,plain, % 0.57/0.74 (P3(a6)+~P4(a3)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[10,20])). % 0.57/0.74 cnf(65,plain, % 0.57/0.74 (P1(a4)+P2(a5)), % 0.57/0.74 inference(scs_inference,[],[25,7])). % 0.57/0.74 cnf(70,plain, % 0.57/0.74 (P4(a4)+P2(a5)), % 0.57/0.74 inference(scs_inference,[],[65,19])). % 0.57/0.74 cnf(75,plain, % 0.57/0.74 (P2(a5)+~P4(a3)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[70,13])). % 0.57/0.74 cnf(85,plain, % 0.57/0.74 (P1(a4)+P4(a4)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[35,55])). % 0.57/0.74 cnf(105,plain, % 0.57/0.74 (P4(a4)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[85,19])). % 0.57/0.74 cnf(110,plain, % 0.57/0.74 (P1(a3)+~P3(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[105,12])). % 0.57/0.74 cnf(127,plain, % 0.57/0.74 (P4(a3)+~P3(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[110,19])). % 0.57/0.74 cnf(145,plain, % 0.57/0.74 (~P4(a4)+~P3(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[14,127])). % 0.57/0.74 cnf(159,plain, % 0.57/0.74 (P3(a5)+P1(a4)), % 0.57/0.74 inference(scs_inference,[],[65,20])). % 0.57/0.74 cnf(164,plain, % 0.57/0.74 (P1(a4)+P4(a4)), % 0.57/0.74 inference(scs_inference,[],[159,105])). % 0.57/0.74 cnf(169,plain, % 0.57/0.74 (P4(a4)), % 0.57/0.74 inference(scs_inference,[],[164,19])). % 0.57/0.74 cnf(170,plain, % 0.57/0.74 (P1(a3)+P2(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[169,11])). % 0.57/0.74 cnf(171,plain, % 0.57/0.74 (~P3(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[169,145])). % 0.57/0.74 cnf(186,plain, % 0.57/0.74 (P4(a3)+P2(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[170,19])). % 0.57/0.74 cnf(191,plain, % 0.57/0.74 (P2(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[186,75])). % 0.57/0.74 cnf(196,plain, % 0.57/0.74 (P3(a5)+~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[191,20])). % 0.57/0.74 cnf(201,plain, % 0.57/0.74 (~P3(a6)), % 0.57/0.74 inference(scs_inference,[],[196,171])). % 0.57/0.74 cnf(202,plain, % 0.57/0.74 (~P4(a3)+~P3(a5)), % 0.57/0.74 inference(scs_inference,[],[201,60])). % 0.57/0.74 cnf(241,plain, % 0.57/0.74 (~P4(a3)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[202,50])). % 0.57/0.74 cnf(246,plain, % 0.57/0.74 (P2(a5)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[241,30])). % 0.57/0.74 cnf(251,plain, % 0.57/0.74 (P3(a5)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[246,20])). % 0.57/0.74 cnf(256,plain, % 0.57/0.74 (P1(a3)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[251,6])). % 0.57/0.74 cnf(261,plain, % 0.57/0.74 (P4(a3)+P2(a6)), % 0.57/0.74 inference(scs_inference,[],[256,19])). % 0.57/0.74 cnf(266,plain, % 0.57/0.74 (P2(a6)), % 0.57/0.74 inference(scs_inference,[],[261,241])). % 0.57/0.74 cnf(269,plain, % 0.57/0.74 ($false), % 0.57/0.74 inference(scs_inference,[],[1,266,201,19,20]), % 0.57/0.74 ['proof']). % 0.57/0.74 % SZS output end Proof % 0.57/0.74 % Total time :0.070000s %------------------------------------------------------------------------------