%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : PUZ031+2 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n013.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 13:42:09 EDT 2024 % Result : Theorem 58.55s 58.77s % Output : CNFRefutation 58.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : PUZ031+2 : TPTP v8.2.0. Released v4.1.0. % 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n013.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 10:07:53 EDT 2024 % 0.12/0.34 % CPUTime : % 0.20/0.57 start to proof:theBenchmark % 58.55/58.74 %------------------------------------------- % 58.55/58.74 % File :CSE---1.7 % 58.55/58.74 % Problem :theBenchmark % 58.55/58.74 % Transform :cnf % 58.55/58.74 % Format :tptp:raw % 58.55/58.74 % Command :java -jar mcs_scs.jar %d %s % 58.55/58.74 % 58.55/58.74 % Result :Theorem 58.020000s % 58.55/58.74 % Output :CNFRefutation 58.020000s % 58.55/58.74 %------------------------------------------- % 58.55/58.76 %------------------------------------------------------------------------------ % 58.55/58.76 % File : PUZ031+2 : TPTP v8.2.0. Released v4.1.0. % 58.55/58.76 % Domain : Puzzles % 58.55/58.76 % Problem : Schubert's Steamroller % 58.55/58.76 % Version : Especial. % 58.55/58.76 % English : Wolves, foxes, birds, caterpillars, and snails are animals, and % 58.55/58.76 % there are some of each of them. Also there are some grains, and % 58.55/58.76 % grains are plants. Every animal either likes to eat all plants % 58.55/58.76 % or all animals much smaller than itself that like to eat some % 58.55/58.76 % plants. Caterpillars and snails are much smaller than birds, % 58.55/58.76 % which are much smaller than foxes, which in turn are much % 58.55/58.76 % smaller than wolves. Wolves do not like to eat foxes or grains, % 58.55/58.76 % while birds like to eat caterpillars but not snails. % 58.55/58.76 % Caterpillars and snails like to eat some plants. Therefore % 58.55/58.76 % there is an animal that likes to eat a grain eating animal. % 58.55/58.76 % 58.55/58.76 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au % 58.55/58.76 % Source : [TPTP] % 58.55/58.76 % Names : % 58.55/58.76 % 58.55/58.76 % Status : Theorem % 58.55/58.76 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.4.0, 0.00 v5.3.0, 0.09 v5.2.0, 0.07 v5.0.0, 0.00 v4.1.0 % 58.55/58.76 % Syntax : Number of formulae : 24 ( 6 unt; 0 def) % 58.55/58.76 % Number of atoms : 61 ( 0 equ) % 58.55/58.76 % Maximal formula atoms : 8 ( 2 avg) % 58.55/58.76 % Number of connectives : 40 ( 3 ~; 1 |; 17 &) % 58.55/58.76 % ( 0 <=>; 19 =>; 0 <=; 0 <~>) % 58.55/58.76 % Maximal formula depth : 10 ( 4 avg) % 58.55/58.76 % Maximal term depth : 1 ( 1 avg) % 58.55/58.76 % Number of predicates : 10 ( 10 usr; 0 prp; 1-2 aty) % 58.55/58.76 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 58.55/58.76 % Number of variables : 39 ( 27 !; 12 ?) % 58.55/58.76 % SPC : FOF_THM_RFO_NEQ % 58.55/58.76 % 58.55/58.76 % Comments : % 58.55/58.76 %------------------------------------------------------------------------------ % 58.55/58.76 fof(wolf_type,axiom, % 58.55/58.76 ? [A] : wolf(A) ). % 58.55/58.76 % 58.55/58.76 fof(fox_type,axiom, % 58.55/58.76 ? [A] : fox(A) ). % 58.55/58.76 % 58.55/58.76 fof(bird_type,axiom, % 58.55/58.76 ? [A] : bird(A) ). % 58.55/58.76 % 58.55/58.76 fof(caterpillar_type,axiom, % 58.55/58.76 ? [A] : caterpillar(A) ). % 58.55/58.76 % 58.55/58.76 fof(snail_type,axiom, % 58.55/58.76 ? [A] : snail(A) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_1_1,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( wolf(X) % 58.55/58.76 => animal(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_2_1,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( fox(X) % 58.55/58.76 => animal(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_3_1,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( bird(X) % 58.55/58.76 => animal(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_4_1,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( caterpillar(X) % 58.55/58.76 => animal(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_4_2,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( snail(X) % 58.55/58.76 => animal(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(grain_type,axiom, % 58.55/58.76 ? [A] : grain(A) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_6_2,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( grain(X) % 58.55/58.76 => plant(X) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_7,axiom, % 58.55/58.76 ! [X] : % 58.55/58.76 ( animal(X) % 58.55/58.76 => ( ! [Y] : % 58.55/58.76 ( plant(Y) % 58.55/58.76 => eats(X,Y) ) % 58.55/58.76 | ! [Y1] : % 58.55/58.76 ( ( animal(Y1) % 58.55/58.76 & much_smaller(Y1,X) % 58.55/58.76 & ? [Z] : % 58.55/58.76 ( plant(Z) % 58.55/58.76 & eats(Y1,Z) ) ) % 58.55/58.76 => eats(X,Y1) ) ) ) ). % 58.55/58.76 % 58.55/58.76 fof(pel47_8,axiom, % 58.55/58.76 ! [Y,X] : % 58.55/58.77 ( ( bird(Y) % 58.55/58.77 & snail(X) ) % 58.55/58.77 => much_smaller(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_8a,axiom, % 58.55/58.77 ! [Y,X] : % 58.55/58.77 ( ( bird(Y) % 58.55/58.77 & caterpillar(X) ) % 58.55/58.77 => much_smaller(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_9,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( bird(X) % 58.55/58.77 & fox(Y) ) % 58.55/58.77 => much_smaller(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_10,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( fox(X) % 58.55/58.77 & wolf(Y) ) % 58.55/58.77 => much_smaller(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_11,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( wolf(X) % 58.55/58.77 & fox(Y) ) % 58.55/58.77 => ~ eats(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_11a,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( wolf(X) % 58.55/58.77 & grain(Y) ) % 58.55/58.77 => ~ eats(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_12,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( bird(X) % 58.55/58.77 & caterpillar(Y) ) % 58.55/58.77 => eats(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_13,axiom, % 58.55/58.77 ! [X,Y] : % 58.55/58.77 ( ( bird(X) % 58.55/58.77 & snail(Y) ) % 58.55/58.77 => ~ eats(X,Y) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_14,axiom, % 58.55/58.77 ! [X] : % 58.55/58.77 ( caterpillar(X) % 58.55/58.77 => ? [Y] : % 58.55/58.77 ( plant(Y) % 58.55/58.77 & eats(X,Y) ) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47_14a,axiom, % 58.55/58.77 ! [X] : % 58.55/58.77 ( snail(X) % 58.55/58.77 => ? [Y] : % 58.55/58.77 ( plant(Y) % 58.55/58.77 & eats(X,Y) ) ) ). % 58.55/58.77 % 58.55/58.77 fof(pel47,conjecture, % 58.55/58.77 ? [X,Y] : % 58.55/58.77 ( animal(X) % 58.55/58.77 & animal(Y) % 58.55/58.77 & ? [Z] : % 58.55/58.77 ( grain(Z) % 58.55/58.77 & eats(Y,Z) % 58.55/58.77 & eats(X,Y) ) ) ). % 58.55/58.77 % 58.55/58.77 %------------------------------------------------------------------------------ % 58.55/58.77 %------------------------------------------- % 58.55/58.77 % Proof found % 58.55/58.77 % SZS status Theorem for theBenchmark % 58.55/58.77 % SZS output start Proof % 58.55/58.77 %ClaNum:26(EqnAxiom:0) % 58.55/58.77 %VarNum:73(SingletonVarNum:33) % 58.55/58.77 %MaxLitNum:8 % 58.55/58.77 %MaxfuncDepth:1 % 58.55/58.77 %SharedTerms:12 % 58.55/58.77 %goalClause: 25 % 58.55/58.77 [1]P1(a1) % 58.55/58.77 [2]P2(a2) % 58.55/58.77 [3]P3(a3) % 58.55/58.77 [4]P5(a4) % 58.55/58.77 [5]P7(a5) % 58.55/58.77 [6]P8(a6) % 58.55/58.77 [7]~P1(x71)+P4(x71) % 58.55/58.77 [8]~P2(x81)+P4(x81) % 58.55/58.77 [9]~P3(x91)+P4(x91) % 58.55/58.77 [10]~P5(x101)+P4(x101) % 58.55/58.77 [11]~P7(x111)+P4(x111) % 58.55/58.78 [12]~P8(x121)+P9(x121) % 58.55/58.78 [13]~P5(x131)+P9(f7(x131)) % 58.55/58.78 [14]~P7(x141)+P9(f8(x141)) % 58.55/58.78 [15]~P5(x151)+P6(x151,f7(x151)) % 58.55/58.78 [16]~P7(x161)+P6(x161,f8(x161)) % 58.55/58.78 [17]~P3(x171)+~P5(x172)+P6(x171,x172) % 58.55/58.78 [18]~P3(x182)+~P5(x181)+P10(x181,x182) % 58.55/58.78 [19]~P3(x192)+~P7(x191)+P10(x191,x192) % 58.55/58.78 [20]~P1(x202)+~P2(x201)+P10(x201,x202) % 58.55/58.78 [21]~P2(x212)+~P3(x211)+P10(x211,x212) % 58.55/58.78 [22]~P6(x221,x222)+~P1(x221)+~P2(x222) % 58.55/58.78 [23]~P6(x231,x232)+~P1(x231)+~P8(x232) % 58.55/58.78 [24]~P6(x241,x242)+~P3(x241)+~P7(x242) % 58.55/58.78 [25]~P6(x251,x253)+~P6(x252,x251)+~P4(x251)+~P4(x252)+~P8(x253) % 58.55/58.78 [26]~P4(x262)+~P4(x261)+~P9(x263)+~P6(x262,x264)+~P10(x262,x261)+P6(x261,x262)+P6(x261,x263)+~P9(x264) % 58.55/58.78 %EqnAxiom % 58.55/58.78 % 58.55/58.78 %------------------------------------------- % 58.77/58.95 cnf(27,plain, % 58.77/58.95 (~P6(a1,a2)), % 58.77/58.95 inference(scs_inference,[],[1,2,22])). % 58.77/58.95 cnf(29,plain, % 58.77/58.95 (~P6(a1,a6)), % 58.77/58.95 inference(scs_inference,[],[1,2,6,22,23])). % 58.77/58.95 cnf(31,plain, % 58.77/58.95 (~P6(a3,a5)), % 58.77/58.95 inference(scs_inference,[],[1,2,3,5,6,22,23,24])). % 58.77/58.95 cnf(309441,plain, % 58.77/58.95 (P4(a1)), % 58.77/58.95 inference(scs_inference,[],[1,7])). % 58.77/58.95 cnf(309443,plain, % 58.77/58.95 (P4(a2)), % 58.77/58.95 inference(scs_inference,[],[1,2,7,8])). % 58.77/58.95 cnf(309445,plain, % 58.77/58.95 (P4(a3)), % 58.77/58.95 inference(scs_inference,[],[1,2,3,7,8,9])). % 58.77/58.95 cnf(309447,plain, % 58.77/58.95 (P4(a4)), % 58.77/58.95 inference(scs_inference,[],[1,2,4,3,7,8,9,10])). % 58.77/58.95 cnf(309449,plain, % 58.77/58.95 (P4(a5)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,4,3,7,8,9,10,11])). % 58.77/58.95 cnf(309451,plain, % 58.77/58.95 (P9(a6)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12])). % 58.77/58.95 cnf(309455,plain, % 58.77/58.95 (P9(f8(a5))), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14])). % 58.77/58.95 cnf(309457,plain, % 58.77/58.95 (P6(a4,f7(a4))), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15])). % 58.77/58.95 cnf(309459,plain, % 58.77/58.95 (P6(a5,f8(a5))), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15,16])). % 58.77/58.95 cnf(309463,plain, % 58.77/58.95 (P10(a5,a3)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15,16,18,19])). % 58.77/58.95 cnf(309465,plain, % 58.77/58.95 (P10(a2,a1)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15,16,18,19,20])). % 58.77/58.95 cnf(309467,plain, % 58.77/58.95 (P10(a3,a2)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15,16,18,19,20,21])). % 58.77/58.95 cnf(309469,plain, % 58.77/58.95 (P6(a3,a4)), % 58.77/58.95 inference(scs_inference,[],[1,2,5,6,4,3,7,8,9,10,11,12,13,14,15,16,18,19,20,21,17])). % 58.77/58.95 cnf(309484,plain, % 58.77/58.95 (~P6(a2,a6)), % 58.77/58.95 inference(scs_inference,[],[309465,309443,309469,309441,309447,309451,309457,309445,27,29,25,26])). % 58.77/58.95 cnf(309506,plain, % 58.77/58.96 (P6(a3,f8(a5))), % 58.77/58.96 inference(scs_inference,[],[309463,309449,309455,309459,309445,31,26])). % 58.77/58.96 cnf(309516,plain, % 58.77/58.96 (~P6(a3,a6)), % 58.77/58.96 inference(scs_inference,[],[309467,309484,309506,309443,309451,309455,309445,6,26,23,25])). % 58.77/58.96 cnf(309518,plain, % 58.77/58.96 ($false), % 58.77/58.96 inference(scs_inference,[],[309516,309463,309449,309451,309455,309459,309445,31,26]), % 58.77/58.96 ['proof']). % 58.98/59.11 % SZS output end Proof % 58.98/59.11 % Total time :58.020000s %------------------------------------------------------------------------------