%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:25 AM UTC 2026 % Result : Theorem 0.28s 0.51s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT111+1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.34 % Computer : n020.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Mon Sep 7 14:06:58 UTC 2026 % 0.08/0.35 % CPUTime : % 0.28/0.50 start to proof:theBenchmark % 0.28/0.50 %------------------------------------------- % 0.28/0.50 % File :CSE---1.7 % 0.28/0.50 % Problem :theBenchmark % 0.28/0.50 % Transform :cnf % 0.28/0.50 % Format :tptp:raw % 0.28/0.50 % Command :java -jar mcs_scs.jar %d %s % 0.28/0.50 % 0.28/0.50 % Result :Theorem 0.014294s % 0.28/0.50 % Output :CNFRefutation 0.014294s % 0.28/0.50 %------------------------------------------- % 0.28/0.50 %-------------------------------------------------------------------------- % 0.28/0.50 % File : MGT111+1 : TPTP v9.3.0. Released v9.3.0. % 0.28/0.50 % Domain : Management % 0.28/0.50 % Problem : Open-world: uncovered action entails Permission by default % 0.28/0.50 % Version : Especial. % 0.28/0.50 % English : Open-world closure added. No proh for modify_act. % 0.28/0.50 % Permission(portal,modify_act,theater_ds) is derivable. % 0.28/0.50 % Abstract constants: portal=drk:StreamingPortalGmbH, % 0.28/0.50 % ensemble=drk:BerlinerEnsemble, modify_act=odrl:modify, % 0.28/0.50 % theater_ds=drk:TheaterShowtimeDataset % 0.28/0.50 % 0.28/0.50 % Refs : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL % 0.28/0.50 % Source : [MC+26] % 0.28/0.50 % Names : GRND007-open-1.p [MC+26] % 0.28/0.50 % 0.28/0.50 % Status : Theorem % 0.28/0.50 % Rating : 0.00 v9.3.0 % 0.28/0.51 % Syntax : Number of formulae : 7 ( 4 unt; 0 def) % 0.28/0.51 % Number of atoms : 21 ( 0 equ) % 0.28/0.51 % Maximal formula atoms : 10 ( 3 avg) % 0.28/0.51 % Number of connectives : 16 ( 2 ~; 0 |; 13 &) % 0.28/0.51 % ( 0 <=>; 1 =>; 0 <=; 0 <~>) % 0.28/0.51 % Maximal formula depth : 14 ( 4 avg) % 0.28/0.51 % Maximal term depth : 1 ( 1 avg) % 0.28/0.51 % Number of predicates : 10 ( 10 usr; 0 prp; 1-3 aty) % 0.28/0.51 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty) % 0.28/0.51 % Number of variables : 9 ( 3 !; 6 ?) % 0.28/0.51 % SPC : FOF_THM_RFO_NEQ % 0.28/0.51 % 0.28/0.51 % Comments : % 0.28/0.51 %-------------------------------------------------------------------------- % 0.28/0.51 %----Layer 1: Problem-specific axioms (subset of Ax5.1-5.11, A1-A3, B1-B3) % 0.28/0.51 %----Ground instance (gamma) % 0.28/0.51 fof(agent_portal,axiom, % 0.28/0.51 agent(portal) ). % 0.28/0.51 % 0.28/0.51 fof(agent_ensemble,axiom, % 0.28/0.51 agent(ensemble) ). % 0.28/0.51 % 0.28/0.51 fof(action_modify,axiom, % 0.28/0.51 action(modify_act) ). % 0.28/0.51 % 0.28/0.51 fof(target_theater,axiom, % 0.28/0.51 target(theater_ds) ). % 0.28/0.51 % 0.28/0.51 fof(no_proh_modify,axiom, % 0.28/0.51 ~ ? [F,E] : % 0.28/0.51 ( proh(F) % 0.28/0.51 & aee(F,portal) % 0.28/0.51 & act(F,modify_act) % 0.28/0.51 & activates(E,F) ) ). % 0.28/0.51 % 0.28/0.51 fof(open_world_closure,axiom, % 0.28/0.51 ! [X,A,T] : % 0.28/0.51 ( ( agent(X) % 0.28/0.51 & action(A) % 0.28/0.51 & target(T) % 0.28/0.51 & ~ ? [F,E] : % 0.28/0.51 ( proh(F) % 0.28/0.51 & aee(F,X) % 0.28/0.51 & act(F,A) % 0.28/0.51 & activates(E,F) ) ) % 0.28/0.51 => ? [L] : % 0.28/0.51 ( permission(L) % 0.28/0.51 & bearer(L,X) % 0.28/0.51 & cnt(L,A,T) ) ) ). % 0.28/0.51 % 0.28/0.51 fof(conjecture,conjecture, % 0.28/0.51 ? [L] : % 0.28/0.51 ( permission(L) % 0.28/0.51 & bearer(L,portal) % 0.28/0.51 & cnt(L,modify_act,theater_ds) ) ). % 0.28/0.51 % 0.28/0.51 %-------------------------------------------------------------------------- % 0.28/0.51 %------------------------------------------- % 0.28/0.51 % Proof found % 0.28/0.51 % SZS status Theorem for theBenchmark % 0.28/0.51 % SZS output start Proof % 0.28/0.51 %ClaNum:18(EqnAxiom:0) % 0.28/0.51 %VarNum:143(SingletonVarNum:39) % 0.28/0.51 %MaxLitNum:5 % 0.28/0.51 %MaxfuncDepth:1 % 0.28/0.51 %SharedTerms:8 % 0.28/0.51 %goalClause: 6 % 0.28/0.51 [1]P1(a1) % 0.28/0.51 [2]P1(a2) % 0.28/0.51 [3]P2(a3) % 0.28/0.51 [4]P6(a7) % 0.28/0.51 [6]~P8(x61)+~P9(x61,a1)+~P10(x61,a3,a7) % 0.28/0.51 [5]~P7(x51)+~P4(x52,x51)+~P5(x51,a1)+~P3(x51,a3) % 0.28/0.51 [7]~P1(x71)+~P2(x72)+~P6(x73)+P8(f5(x71,x72,x73))+P7(f4(x71,x72,x73)) % 0.28/0.51 [8]~P1(x81)+~P2(x82)+~P6(x83)+P9(f5(x81,x82,x83),x81)+P7(f4(x81,x82,x83)) % 0.28/0.51 [9]~P1(x91)+~P2(x92)+~P6(x93)+P5(f4(x91,x92,x93),x91)+P8(f5(x91,x92,x93)) % 0.28/0.51 [10]~P1(x101)+~P2(x102)+~P6(x103)+P3(f4(x101,x102,x103),x102)+P8(f5(x101,x102,x103)) % 0.28/0.51 [11]~P1(x111)+~P2(x112)+~P6(x113)+P9(f5(x111,x112,x113),x111)+P5(f4(x111,x112,x113),x111) % 0.28/0.51 [12]~P1(x121)+~P2(x122)+~P6(x123)+P9(f5(x121,x122,x123),x121)+P3(f4(x121,x122,x123),x122) % 0.28/0.51 [13]~P1(x131)+~P2(x132)+~P6(x133)+P10(f5(x131,x132,x133),x132,x133)+P7(f4(x131,x132,x133)) % 0.28/0.51 [14]~P1(x141)+~P2(x142)+~P6(x143)+P10(f5(x141,x142,x143),x142,x143)+P5(f4(x141,x142,x143),x141) % 0.28/0.51 [15]~P1(x151)+~P2(x152)+~P6(x153)+P10(f5(x151,x152,x153),x152,x153)+P3(f4(x151,x152,x153),x152) % 0.28/0.51 [16]~P1(x161)+~P2(x162)+~P6(x163)+P4(f6(x161,x162,x163),f4(x161,x162,x163))+P8(f5(x161,x162,x163)) % 0.28/0.51 [17]~P1(x171)+~P2(x172)+~P6(x173)+P4(f6(x171,x172,x173),f4(x171,x172,x173))+P9(f5(x171,x172,x173),x171) % 0.28/0.51 [18]~P1(x181)+~P2(x182)+~P6(x183)+P10(f5(x181,x182,x183),x182,x183)+P4(f6(x181,x182,x183),f4(x181,x182,x183)) % 0.28/0.51 %EqnAxiom % 0.28/0.51 % 0.28/0.51 %------------------------------------------- % 0.28/0.51 cnf(20,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+~P10(f5(a1,a3,a7),a3,a7)+P7(f4(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[1,3,4,6,8])). % 0.28/0.51 cnf(21,plain, % 0.28/0.51 (P7(f4(a1,a3,a7))+P5(f4(a1,a3,a7),a1)+~P10(f5(a1,a3,a7),a3,a7)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,20,9])). % 0.28/0.51 cnf(22,plain, % 0.28/0.51 (P5(f4(a1,a3,a7),a1)+P7(f4(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[1,3,4,21,13])). % 0.28/0.51 cnf(24,plain, % 0.28/0.51 (~P9(f5(a1,a3,a7),a1)+P3(f4(a1,a3,a7),a3)+~P10(f5(a1,a3,a7),a3,a7)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,6,10])). % 0.28/0.51 cnf(25,plain, % 0.28/0.51 (P3(f4(a1,a3,a7),a3)+~P9(f5(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,24,15])). % 0.28/0.51 cnf(27,plain, % 0.28/0.51 (P3(f4(a1,a3,a7),a3)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,25,12])). % 0.28/0.51 cnf(28,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+P4(f6(a1,a3,a7),f4(a1,a3,a7))+~P10(f5(a1,a3,a7),a3,a7)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,6,17])). % 0.28/0.51 cnf(29,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+P4(f6(a1,a3,a7),f4(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[1,3,4,28,18])). % 0.28/0.51 cnf(32,plain, % 0.28/0.51 (P4(f6(a1,a3,a7),f4(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[1,3,4,29,16])). % 0.28/0.51 cnf(35,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+P5(f4(a1,a3,a7),a1)+~P10(f5(a1,a3,a7),a3,a7)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,6,11])). % 0.28/0.51 cnf(36,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+P5(f4(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,35,14])). % 0.28/0.51 cnf(37,plain, % 0.28/0.51 (~P7(f4(a1,a3,a7))+~P8(f5(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[27,32,36,5])). % 0.28/0.51 cnf(38,plain, % 0.28/0.51 (~P8(f5(a1,a3,a7))+P9(f5(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,37,8])). % 0.28/0.51 cnf(39,plain, % 0.28/0.51 (P5(f4(a1,a3,a7),a1)+P9(f5(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,38,9])). % 0.28/0.51 cnf(40,plain, % 0.28/0.51 (~P7(f4(a1,a3,a7))+P9(f5(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[27,32,39,5])). % 0.28/0.51 cnf(41,plain, % 0.28/0.51 (P9(f5(a1,a3,a7),a1)+P8(f5(a1,a3,a7))), % 0.28/0.51 inference(scs_inference,[],[1,3,4,40,7])). % 0.28/0.51 cnf(42,plain, % 0.28/0.51 (P9(f5(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[41,38])). % 0.28/0.51 cnf(43,plain, % 0.28/0.51 (~P7(f4(a1,a3,a7))+P5(f4(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[1,3,4,37,9])). % 0.28/0.51 cnf(44,plain, % 0.28/0.51 (P5(f4(a1,a3,a7),a1)), % 0.28/0.51 inference(scs_inference,[],[43,22])). % 0.28/0.51 cnf(51,plain, % 0.28/0.51 ($false), % 0.28/0.51 inference(scs_inference,[],[1,42,44,32,27,3,4,5,13,6,7]), % 0.28/0.51 ['proof']). % 0.28/0.51 % SZS output end Proof % 0.28/0.51 % Total time :0.014294s %------------------------------------------------------------------------------