%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ031+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 : n029.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 13:42:08 EDT 2024 % Result : Theorem 58.63s 59.00s % Output : CNFRefutation 59.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PUZ031+1 : TPTP v8.2.0. Released v2.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Jun 18 10:23:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 58.63/58.97 %------------------------------------------- % 58.63/58.97 % File :CSE---1.7 % 58.63/58.97 % Problem :theBenchmark % 58.63/58.97 % Transform :cnf % 58.63/58.97 % Format :tptp:raw % 58.63/58.97 % Command :java -jar mcs_scs.jar %d %s % 58.63/58.97 % 58.63/58.97 % Result :Theorem 58.050000s % 58.63/58.98 % Output :CNFRefutation 58.050000s % 58.63/58.98 %------------------------------------------- % 58.63/59.00 %-------------------------------------------------------------------------- % 58.63/59.00 % File : PUZ031+1 : TPTP v8.2.0. Released v2.0.0. % 58.63/59.00 % Domain : Puzzles % 58.63/59.00 % Problem : Schubert's Steamroller % 58.63/59.00 % Version : Especial. % 58.63/59.00 % English : Wolves, foxes, birds, caterpillars, and snails are animals, and % 58.63/59.00 % there are some of each of them. Also there are some grains, and % 58.63/59.00 % grains are plants. Every animal either likes to eat all plants % 58.63/59.00 % or all animals much smaller than itself that like to eat some % 58.63/59.00 % plants. Caterpillars and snails are much smaller than birds, % 58.63/59.00 % which are much smaller than foxes, which in turn are much % 58.63/59.00 % smaller than wolves. Wolves do not like to eat foxes or grains, % 58.63/59.00 % while birds like to eat caterpillars but not snails. % 58.63/59.00 % Caterpillars and snails like to eat some plants. Therefore % 58.63/59.00 % there is an animal that likes to eat a grain eating animal. % 58.63/59.00 % 58.63/59.00 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 58.63/59.00 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe % 58.63/59.00 % Source : [Hah94] % 58.63/59.00 % Names : Pelletier 47 [Pel86] % 58.63/59.00 % 58.63/59.00 % Status : Theorem % 58.63/59.00 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0 % 58.63/59.00 % Syntax : Number of formulae : 21 ( 6 unt; 0 def) % 58.63/59.00 % Number of atoms : 55 ( 0 equ) % 58.63/59.00 % Maximal formula atoms : 8 ( 2 avg) % 58.63/59.00 % Number of connectives : 36 ( 2 ~; 4 |; 14 &) % 58.63/59.00 % ( 0 <=>; 16 =>; 0 <=; 0 <~>) % 58.63/59.00 % Maximal formula depth : 10 ( 4 avg) % 58.63/59.00 % Maximal term depth : 1 ( 1 avg) % 58.63/59.00 % Number of predicates : 10 ( 10 usr; 0 prp; 1-2 aty) % 58.63/59.00 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 58.63/59.00 % Number of variables : 33 ( 22 !; 11 ?) % 58.63/59.00 % SPC : FOF_THM_RFO_NEQ % 58.63/59.00 % 58.63/59.00 % Comments : This problem is named after Len Schubert. % 58.63/59.00 %-------------------------------------------------------------------------- % 58.63/59.00 fof(pel47_1_1,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( wolf(X) % 58.63/59.00 => animal(X) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_1_2,axiom, % 58.63/59.00 ? [X1] : wolf(X1) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_2_1,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( fox(X) % 58.63/59.00 => animal(X) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_2_2,axiom, % 58.63/59.00 ? [X1] : fox(X1) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_3_1,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( bird(X) % 58.63/59.00 => animal(X) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_3_2,axiom, % 58.63/59.00 ? [X1] : bird(X1) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_4_1,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( caterpillar(X) % 58.63/59.00 => animal(X) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_4_2,axiom, % 58.63/59.00 ? [X1] : caterpillar(X1) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_5_1,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( snail(X) % 58.63/59.00 => animal(X) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_5_2,axiom, % 58.63/59.00 ? [X1] : snail(X1) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_6_1,axiom, % 58.63/59.00 ? [X] : grain(X) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_6_2,axiom, % 58.63/59.00 ! [X1] : % 58.63/59.00 ( grain(X1) % 58.63/59.00 => plant(X1) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_7,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( animal(X) % 58.63/59.00 => ( ! [Y] : % 58.63/59.00 ( plant(Y) % 58.63/59.00 => eats(X,Y) ) % 58.63/59.00 | ! [Y1] : % 58.63/59.00 ( ( animal(Y1) % 58.63/59.00 & much_smaller(Y1,X) % 58.63/59.00 & ? [Z] : % 58.63/59.00 ( plant(Z) % 58.63/59.00 & eats(Y1,Z) ) ) % 58.63/59.00 => eats(X,Y1) ) ) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_8,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( bird(Y) % 58.63/59.00 & ( snail(X) % 58.63/59.00 | caterpillar(X) ) ) % 58.63/59.00 => much_smaller(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_9,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( bird(X) % 58.63/59.00 & fox(Y) ) % 58.63/59.00 => much_smaller(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_10,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( fox(X) % 58.63/59.00 & wolf(Y) ) % 58.63/59.00 => much_smaller(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_11,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( wolf(X) % 58.63/59.00 & ( fox(Y) % 58.63/59.00 | grain(Y) ) ) % 58.63/59.00 => ~ eats(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_12,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( bird(X) % 58.63/59.00 & caterpillar(Y) ) % 58.63/59.00 => eats(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_13,axiom, % 58.63/59.00 ! [X,Y] : % 58.63/59.00 ( ( bird(X) % 58.63/59.00 & snail(Y) ) % 58.63/59.00 => ~ eats(X,Y) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47_14,axiom, % 58.63/59.00 ! [X] : % 58.63/59.00 ( ( caterpillar(X) % 58.63/59.00 | snail(X) ) % 58.63/59.00 => ? [Y] : % 58.63/59.00 ( plant(Y) % 58.63/59.00 & eats(X,Y) ) ) ). % 58.63/59.00 % 58.63/59.00 fof(pel47,conjecture, % 58.63/59.00 ? [X,Y] : % 58.63/59.00 ( animal(X) % 58.63/59.00 & animal(Y) % 58.63/59.00 & ? [Z] : % 58.63/59.00 ( grain(Z) % 58.63/59.00 & eats(Y,Z) % 58.63/59.00 & eats(X,Y) ) ) ). % 58.63/59.00 % 58.63/59.00 %-------------------------------------------------------------------------- % 58.63/59.00 %------------------------------------------- % 58.63/59.00 % Proof found % 58.63/59.00 % SZS status Theorem for theBenchmark % 58.63/59.00 % SZS output start Proof % 58.63/59.02 %ClaNum:26(EqnAxiom:0) % 58.63/59.02 %VarNum:73(SingletonVarNum:33) % 58.63/59.02 %MaxLitNum:8 % 58.63/59.02 %MaxfuncDepth:1 % 58.63/59.02 %SharedTerms:12 % 58.63/59.02 %goalClause: 25 % 58.63/59.02 [1]P1(a1) % 58.63/59.02 [2]P2(a2) % 58.63/59.02 [3]P3(a3) % 58.63/59.02 [4]P5(a4) % 58.63/59.02 [5]P7(a5) % 58.63/59.02 [6]P8(a6) % 58.63/59.02 [7]~P1(x71)+P4(x71) % 58.63/59.02 [8]~P2(x81)+P4(x81) % 58.63/59.02 [9]~P3(x91)+P4(x91) % 58.63/59.02 [10]~P5(x101)+P4(x101) % 58.63/59.02 [11]~P7(x111)+P4(x111) % 58.63/59.02 [12]~P8(x121)+P9(x121) % 58.63/59.02 [13]~P5(x131)+P9(f7(x131)) % 58.63/59.02 [14]~P7(x141)+P9(f7(x141)) % 58.63/59.02 [15]~P5(x151)+P6(x151,f7(x151)) % 58.63/59.02 [16]~P7(x161)+P6(x161,f7(x161)) % 58.63/59.02 [17]~P3(x171)+~P5(x172)+P6(x171,x172) % 58.63/59.02 [18]~P1(x182)+~P2(x181)+P10(x181,x182) % 58.63/59.02 [19]~P2(x192)+~P3(x191)+P10(x191,x192) % 58.63/59.02 [20]~P3(x202)+~P5(x201)+P10(x201,x202) % 58.63/59.02 [21]~P3(x212)+~P7(x211)+P10(x211,x212) % 58.63/59.02 [22]~P6(x221,x222)+~P1(x221)+~P2(x222) % 58.63/59.02 [23]~P6(x231,x232)+~P1(x231)+~P8(x232) % 58.63/59.02 [24]~P6(x241,x242)+~P3(x241)+~P7(x242) % 58.63/59.02 [25]~P6(x251,x253)+~P6(x252,x251)+~P4(x251)+~P4(x252)+~P8(x253) % 58.63/59.02 [26]~P4(x262)+~P4(x261)+~P9(x263)+~P6(x262,x264)+~P10(x262,x261)+P6(x261,x262)+P6(x261,x263)+~P9(x264) % 58.63/59.02 %EqnAxiom % 58.63/59.02 % 58.63/59.02 %------------------------------------------- % 58.95/59.27 cnf(27,plain, % 58.95/59.27 (~P6(a1,a2)), % 58.95/59.27 inference(scs_inference,[],[1,2,22])). % 58.95/59.27 cnf(29,plain, % 58.95/59.27 (~P6(a1,a6)), % 58.95/59.27 inference(scs_inference,[],[1,2,6,22,23])). % 58.95/59.27 cnf(31,plain, % 58.95/59.27 (~P6(a3,a5)), % 58.95/59.27 inference(scs_inference,[],[1,2,3,5,6,22,23,24])). % 58.95/59.27 cnf(226018,plain, % 58.95/59.27 (P4(a1)), % 58.95/59.27 inference(scs_inference,[],[1,7])). % 58.95/59.27 cnf(226020,plain, % 58.95/59.27 (P4(a2)), % 58.95/59.27 inference(scs_inference,[],[1,2,7,8])). % 58.95/59.27 cnf(226022,plain, % 58.95/59.27 (P4(a3)), % 58.95/59.27 inference(scs_inference,[],[1,2,3,7,8,9])). % 58.95/59.27 cnf(226024,plain, % 58.95/59.27 (P4(a4)), % 58.95/59.27 inference(scs_inference,[],[1,2,3,4,7,8,9,10])). % 58.95/59.27 cnf(226026,plain, % 58.95/59.27 (P4(a5)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,3,4,7,8,9,10,11])). % 58.95/59.27 cnf(226028,plain, % 58.95/59.27 (P9(a6)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12])). % 58.95/59.27 cnf(226030,plain, % 58.95/59.27 (P9(f7(a4))), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13])). % 58.95/59.27 cnf(226032,plain, % 58.95/59.27 (P9(f7(a5))), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14])). % 58.95/59.27 cnf(226034,plain, % 58.95/59.27 (P6(a4,f7(a4))), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15])). % 58.95/59.27 cnf(226036,plain, % 58.95/59.27 (P6(a5,f7(a5))), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15,16])). % 58.95/59.27 cnf(226038,plain, % 58.95/59.27 (P10(a2,a1)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15,16,18])). % 58.95/59.27 cnf(226040,plain, % 58.95/59.27 (P10(a3,a2)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15,16,18,19])). % 58.95/59.27 cnf(226044,plain, % 58.95/59.27 (P10(a5,a3)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15,16,18,19,20,21])). % 58.95/59.27 cnf(226046,plain, % 58.95/59.27 (P6(a3,a4)), % 58.95/59.27 inference(scs_inference,[],[1,2,5,6,3,4,7,8,9,10,11,12,13,14,15,16,18,19,20,21,17])). % 58.95/59.27 cnf(226061,plain, % 58.95/59.27 (~P6(a2,a6)), % 58.95/59.27 inference(scs_inference,[],[226038,226020,226046,226018,226024,226028,226034,226022,27,29,25,26])). % 58.95/59.27 cnf(226086,plain, % 58.95/59.27 (P6(a3,f7(a4))), % 58.95/59.27 inference(scs_inference,[],[226044,226030,226032,226046,226036,226026,226034,226022,226024,31,25,26])). % 58.95/59.27 cnf(226098,plain, % 58.95/59.27 (~P6(a3,a6)), % 58.95/59.27 inference(scs_inference,[],[226040,226086,226061,226030,226020,226028,226022,6,26,25])). % 58.95/59.27 cnf(226100,plain, % 58.95/59.27 ($false), % 58.95/59.27 inference(scs_inference,[],[226098,226044,226032,226036,226026,226028,226022,31,26]), % 58.95/59.27 ['proof']). % 59.08/59.44 % SZS output end Proof % 59.08/59.44 % Total time :58.050000s %------------------------------------------------------------------------------