%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MSC017+1 : TPTP v8.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 11:52:14 EDT 2024 % Result : Theorem 23.37s 23.46s % Output : CNFRefutation 23.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : MSC017+1 : TPTP v8.2.0. Released v4.0.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n020.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 : Sat Jun 22 05:49:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 23.37/23.45 %------------------------------------------- % 23.37/23.45 % File :CSE---1.7 % 23.37/23.45 % Problem :theBenchmark % 23.37/23.45 % Transform :cnf % 23.37/23.45 % Format :tptp:raw % 23.37/23.45 % Command :java -jar mcs_scs.jar %d %s % 23.37/23.45 % 23.37/23.45 % Result :Theorem 22.860000s % 23.37/23.45 % Output :CNFRefutation 22.860000s % 23.37/23.45 %------------------------------------------- % 23.37/23.45 %------------------------------------------------------------------------------ % 23.37/23.45 % File : MSC017+1 : TPTP v8.2.0. Released v4.0.0. % 23.37/23.45 % Domain : Miscellaneous % 23.37/23.45 % Problem : Diving has no bad outcomes % 23.37/23.45 % Version : Especial. % 23.37/23.45 % English : % 23.37/23.45 % 23.37/23.45 % Refs : % 23.37/23.45 % Source : [TPTP] % 23.37/23.45 % Names : % 23.37/23.45 % 23.37/23.45 % Status : Theorem % 23.37/23.45 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0 % 23.37/23.45 % Syntax : Number of formulae : 7 ( 1 unt; 0 def) % 23.37/23.45 % Number of atoms : 20 ( 2 equ) % 23.37/23.45 % Maximal formula atoms : 4 ( 2 avg) % 23.37/23.45 % Number of connectives : 16 ( 3 ~; 1 |; 2 &) % 23.37/23.45 % ( 2 <=>; 8 =>; 0 <=; 0 <~>) % 23.37/23.45 % Maximal formula depth : 6 ( 4 avg) % 23.37/23.45 % Maximal term depth : 3 ( 1 avg) % 23.37/23.45 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty) % 23.37/23.45 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty) % 23.37/23.45 % Number of variables : 8 ( 8 !; 0 ?) % 23.37/23.45 % SPC : FOF_THM_RFO_SEQ % 23.37/23.45 % 23.37/23.45 % Comments : % 23.37/23.45 %------------------------------------------------------------------------------ % 23.37/23.45 %----The nitrogen of a dive is a function of the depth and time % 23.37/23.45 fof(dive_nitrogen,axiom, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => nitrogen(D) = padi(depth(D),time(D)) ) ). % 23.37/23.46 % 23.37/23.46 fof(depth_and_time_and_nitrogen,axiom, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => ( ( greater(depth(D),depth_limit) % 23.37/23.46 | greater(time(D),time_limit) ) % 23.37/23.46 <=> greater(nitrogen(D),nitrogen_limit) ) ) ). % 23.37/23.46 % 23.37/23.46 %----If the nitrogen of a dive is greater than the nitrogen limit, then % 23.37/23.46 %----an outcome of the dive is DCI % 23.37/23.46 fof(too_much_nitrogen,axiom, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => ( greater(nitrogen(D),nitrogen_limit) % 23.37/23.46 <=> outcome(D,dci) ) ) ). % 23.37/23.46 % 23.37/23.46 %----DCI is bad % 23.37/23.46 fof(bad_dci,axiom, % 23.37/23.46 bad(dci) ). % 23.37/23.46 % 23.37/23.46 %----DCI is the only bad outcome of a dive % 23.37/23.46 fof(dci_is_the_only_bad_outcome,axiom, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => ! [O] : % 23.37/23.46 ( ( outcome(D,O) % 23.37/23.46 & bad(O) ) % 23.37/23.46 => O = dci ) ) ). % 23.37/23.46 % 23.37/23.46 %----No deep long dives % 23.37/23.46 fof(no_deep_long,axiom, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => ( ~ greater(depth(D),depth_limit) % 23.37/23.46 & ~ greater(time(D),time_limit) ) ) ). % 23.37/23.46 % 23.37/23.46 %----No bad outcomes % 23.37/23.46 fof(no_bad,conjecture, % 23.37/23.46 ! [D] : % 23.37/23.46 ( dive(D) % 23.37/23.46 => ! [O] : % 23.37/23.46 ( outcome(D,O) % 23.37/23.46 => ~ bad(O) ) ) ). % 23.37/23.46 % 23.37/23.46 %------------------------------------------------------------------------------ % 23.37/23.46 %------------------------------------------- % 23.37/23.46 % Proof found % 23.37/23.46 % SZS status Theorem for theBenchmark % 23.37/23.46 % SZS output start Proof % 23.42/23.46 %ClaNum:27(EqnAxiom:14) % 23.42/23.46 %VarNum:23(SingletonVarNum:8) % 23.42/23.46 %MaxLitNum:4 % 23.42/23.46 %MaxfuncDepth:2 % 23.42/23.46 %SharedTerms:10 % 23.42/23.46 %goalClause: 15 17 18 % 23.42/23.46 %singleGoalClaCount:3 % 23.42/23.46 [15]P1(a1) % 23.42/23.46 [16]P2(a2) % 23.42/23.46 [17]P2(a5) % 23.42/23.46 [18]P3(a1,a5) % 23.42/23.46 [19]~P1(x191)+~P4(f3(x191),a4) % 23.42/23.46 [20]~P1(x201)+~P4(f6(x201),a10) % 23.42/23.46 [21]~P1(x211)+E(f7(f3(x211),f6(x211)),f8(x211)) % 23.42/23.46 [23]~P1(x231)+~P3(x231,a2)+P4(f8(x231),a9) % 23.42/23.46 [24]~P1(x241)+P3(x241,a2)+~P4(f8(x241),a9) % 23.42/23.46 [27]~P1(x271)+P4(f6(x271),a10)+~P4(f8(x271),a9)+P4(f3(x271),a4) % 23.42/23.46 [22]~P2(x221)+~P3(x222,x221)+~P1(x222)+E(x221,a2) % 23.42/23.46 %EqnAxiom % 23.42/23.46 [1]E(x11,x11) % 23.42/23.46 [2]E(x22,x21)+~E(x21,x22) % 23.42/23.46 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 23.42/23.46 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 23.42/23.46 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 23.42/23.46 [6]~E(x61,x62)+E(f8(x61),f8(x62)) % 23.42/23.46 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73)) % 23.42/23.46 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82)) % 23.42/23.46 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 23.42/23.46 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 23.42/23.46 [11]P4(x112,x113)+~E(x111,x112)+~P4(x111,x113) % 23.42/23.46 [12]P4(x123,x122)+~E(x121,x122)+~P4(x123,x121) % 23.42/23.46 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133) % 23.42/23.46 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141) % 23.42/23.46 % 23.42/23.46 %------------------------------------------- % 23.42/23.46 cnf(32,plain, % 23.42/23.46 (E(f8(a1),f7(f3(a1),f6(a1)))), % 23.42/23.46 inference(scs_inference,[],[15,2,21])). % 23.42/23.46 cnf(74,plain, % 23.42/23.46 (~P4(f7(f3(a1),f6(a1)),x741)+P4(f8(a1),x741)), % 23.42/23.46 inference(scs_inference,[],[32,2,11])). % 23.42/23.46 cnf(79,plain, % 23.42/23.46 (E(a2,a5)), % 23.42/23.46 inference(scs_inference,[],[15,17,18,2,22])). % 23.42/23.46 cnf(81,plain, % 23.42/23.46 (P3(a1,a2)), % 23.42/23.46 inference(scs_inference,[],[18,79,2,14])). % 23.42/23.46 cnf(1322,plain, % 23.42/23.46 (P4(f6(a1),a10)+~P4(f8(a1),a9)), % 23.42/23.46 inference(scs_inference,[],[15,19,27])). % 23.42/23.46 cnf(1323,plain, % 23.42/23.46 (~P4(f8(a1),a9)), % 23.42/23.46 inference(scs_inference,[],[15,1322,20])). % 23.42/23.46 cnf(1325,plain, % 23.42/23.46 ($false), % 23.42/23.46 inference(scs_inference,[],[81,15,1323,74,23]), % 23.42/23.46 ['proof']). % 23.42/23.47 % SZS output end Proof % 23.42/23.47 % Total time :22.860000s %------------------------------------------------------------------------------