0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.23 % Computer : n010.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.07/0.23 % CPULimit : 300 0.07/0.23 % DateTime : Sat Jul 14 05:52:39 CDT 2018 0.07/0.23 % CPUTime : 0.07/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.24 % remaining time: 5999 next slice time: 4 0.07/0.27 dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.57/0.77 % (16851)Time limit reached! 0.57/0.77 % ------------------------------ 0.57/0.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.57/0.77 % Termination reason: Time limit 0.57/0.77 % Termination phase: Saturation 0.57/0.77 0.57/0.77 % Memory used [KB]: 2046 0.57/0.77 % Time elapsed: 0.500 s 0.57/0.77 % ------------------------------ 0.57/0.77 % ------------------------------ 0.57/0.77 % remaining time: 5994 next slice time: 10 0.57/0.78 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_8 on theBenchmark 0.60/0.79 % Refutation not found, incomplete strategy 0.60/0.79 % ------------------------------ 0.60/0.79 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.60/0.79 % Termination reason: Refutation not found, incomplete strategy 0.60/0.79 0.60/0.79 % Memory used [KB]: 5884 0.60/0.79 % Time elapsed: 0.015 s 0.60/0.79 % ------------------------------ 0.60/0.79 % ------------------------------ 0.60/0.79 % remaining time: 5994 next slice time: 4 0.60/0.79 dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 0.62/0.98 % Refutation found. Thanks to Tanya! 0.62/0.98 % SZS status Theorem for theBenchmark 0.62/0.98 % SZS output start Proof for theBenchmark 0.62/0.98 fof(f6,axiom,( 0.62/0.98 ! [X0] : ((accept_population(X0,atheist,n78) & accept_population(X0,christian,n20) & accept_population(X0,muslim,n1) & accept_population(X0,other,n1) & accept_population(X0,native,n0)) <=> accept_city(X0,cityb))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12)). 0.62/0.98 fof(f7,axiom,( 0.62/0.98 ! [X0,X2,X1,X3] : (accept_team(X0,X3,X2,X1) <=> (accept_number(X0,X1) & accept_leader(X0,X3) & accept_city(X0,X2)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1)). 0.62/0.98 fof(f12,axiom,( 0.62/0.98 ! [X0,X3,X2] : (the_agent_not_in_any_proposed_teams(X0,X3,X2) => ~(accept_city(X0,X2) & accept_leader(X0,X3)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6)). 0.62/0.98 fof(f13,axiom,( 0.62/0.98 ! [X0,X3,X2] : (any_agent_in_all_proposed_teams(X0,X3,X2) => accept_leader(X0,X3))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5)). 0.62/0.98 fof(f14,axiom,( 0.62/0.98 ! [X0,X1,X4,X5] : ((less(X4,X1) & accept_population(X0,X5,X1)) => accept_population(X0,X5,X4))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3)). 0.62/0.98 fof(f16,axiom,( 0.62/0.98 ! [X0] : ((accept_population(X0,christian,n3) & accept_population(X0,muslim,n0) & accept_population(X0,other,n0) & accept_population(X0,native,n85) & accept_population(X0,atheist,n12)) <=> accept_city(X0,coastvillage))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7)). 0.62/0.98 fof(f17,axiom,( 0.62/0.98 ! [X0,X3,X2] : (the_agent_in_all_proposed_teams(X0,X3,X2) => (accept_city(X0,X2) & accept_leader(X0,X3)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_4)). 0.62/0.98 fof(f18,axiom,( 0.62/0.98 ! [X0] : (accept_city(X0,townc) <=> (accept_population(X0,native,n0) & accept_population(X0,other,n5) & accept_population(X0,muslim,n65) & accept_population(X0,christian,n0) & accept_population(X0,atheist,n30)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_13)). 0.62/0.98 fof(f19,axiom,( 0.62/0.98 ! [X0] : (accept_city(X0,towna) <=> (accept_population(X0,christian,n24) & accept_population(X0,muslim,n1) & accept_population(X0,native,n0) & accept_population(X0,other,n0) & accept_population(X0,atheist,n75)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9)). 0.62/0.98 fof(f140,axiom,( 0.62/0.98 the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_104)). 0.62/0.98 fof(f187,axiom,( 0.62/0.98 the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11)). 0.62/0.98 fof(f205,axiom,( 0.62/0.98 accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_13)). 0.62/0.98 fof(f219,axiom,( 0.62/0.98 accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_8)). 0.62/0.98 fof(f222,axiom,( 0.62/0.98 any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12)). 0.62/0.98 fof(f342,axiom,( 0.62/0.98 rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7))))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn76)). 0.62/0.98 fof(f406,axiom,( 0.62/0.98 rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7))))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75)). 0.62/0.98 fof(f439,axiom,( 0.62/0.98 rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7))))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78)). 0.62/0.98 fof(f529,axiom,( 0.62/0.98 rdn_non_zero_digit(rdnn(n7))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7)). 0.62/0.98 fof(f533,axiom,( 0.62/0.98 ! [X6,X7,X12] : ((rdn_positive_less(rdnn(X7),rdnn(X12)) & rdn_positive_less(rdnn(X6),rdnn(X7))) => rdn_positive_less(rdnn(X6),rdnn(X12)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity)). 0.62/0.98 fof(f541,axiom,( 0.62/0.98 ! [X13,X11,X14] : ((rdn_non_zero(X11) & rdn_positive_less(rdnn(X13),rdnn(X14))) => rdn_positive_less(rdn(rdnn(X13),X11),rdn(rdnn(X14),X11)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low)). 0.62/0.98 fof(f542,axiom,( 0.62/0.98 ! [X6,X7,X8,X9] : ((rdn_translate(X7,rdn_pos(X9)) & rdn_positive_less(X8,X9) & rdn_translate(X6,rdn_pos(X8))) => less(X6,X7))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos)). 0.62/0.98 fof(f545,axiom,( 0.62/0.98 rdn_positive_less(rdnn(n7),rdnn(n8))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78)). 0.62/0.98 fof(f546,axiom,( 0.62/0.98 rdn_positive_less(rdnn(n6),rdnn(n7))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67)). 0.62/0.98 fof(f549,axiom,( 0.62/0.98 ! [X6] : (rdn_non_zero_digit(rdnn(X6)) => rdn_non_zero(rdnn(X6)))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit)). 0.62/0.98 fof(f552,axiom,( 0.62/0.98 rdn_positive_less(rdnn(n5),rdnn(n6))), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56)). 0.62/0.98 fof(f556,conjecture,( 0.62/0.98 ? [X6,X7] : ~accept_population(X6,X7,n24)), 0.62/0.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_19)). 0.62/0.98 fof(f557,negated_conjecture,( 0.62/0.98 ~? [X6,X7] : ~accept_population(X6,X7,n24)), 0.62/0.98 inference(negated_conjecture,[],[f556])). 0.62/0.98 fof(f558,plain,( 0.62/0.98 ~? [X0,X1] : ~accept_population(X0,X1,n24)), 0.62/0.98 inference(rectify,[],[f557])). 0.62/0.98 fof(f559,plain,( 0.62/0.98 ! [X0] : (rdn_non_zero_digit(rdnn(X0)) => rdn_non_zero(rdnn(X0)))), 0.62/0.98 inference(rectify,[],[f549])). 0.62/0.98 fof(f564,plain,( 0.62/0.98 ! [X0,X1,X2] : (the_agent_not_in_any_proposed_teams(X0,X1,X2) => ~(accept_city(X0,X2) & accept_leader(X0,X1)))), 0.62/0.98 inference(rectify,[],[f12])). 0.62/0.98 fof(f565,plain,( 0.62/0.98 ! [X0,X1,X2] : (the_agent_in_all_proposed_teams(X0,X1,X2) => (accept_city(X0,X2) & accept_leader(X0,X1)))), 0.62/0.98 inference(rectify,[],[f17])). 0.62/0.98 fof(f566,plain,( 0.62/0.98 ! [X0,X1,X2] : (any_agent_in_all_proposed_teams(X0,X1,X2) => accept_leader(X0,X1))), 0.62/0.98 inference(rectify,[],[f13])). 0.62/0.98 fof(f569,plain,( 0.62/0.98 ! [X0,X1,X2] : ((rdn_non_zero(X1) & rdn_positive_less(rdnn(X0),rdnn(X2))) => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)))), 0.62/0.98 inference(rectify,[],[f541])). 0.62/0.98 fof(f570,plain,( 0.62/0.98 ! [X0,X1,X2] : ((rdn_positive_less(rdnn(X1),rdnn(X2)) & rdn_positive_less(rdnn(X0),rdnn(X1))) => rdn_positive_less(rdnn(X0),rdnn(X2)))), 0.62/0.98 inference(rectify,[],[f533])). 0.62/0.98 fof(f573,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : ((rdn_translate(X1,rdn_pos(X3)) & rdn_positive_less(X2,X3) & rdn_translate(X0,rdn_pos(X2))) => less(X0,X1))), 0.62/0.98 inference(rectify,[],[f542])). 0.62/0.98 fof(f575,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : ((less(X2,X1) & accept_population(X0,X3,X1)) => accept_population(X0,X3,X2))), 0.62/0.98 inference(rectify,[],[f14])). 0.62/0.98 fof(f576,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : (accept_team(X0,X3,X1,X2) <=> (accept_number(X0,X2) & accept_leader(X0,X3) & accept_city(X0,X1)))), 0.62/0.98 inference(rectify,[],[f7])). 0.62/0.98 fof(f577,plain,( 0.62/0.98 ! [X0,X1] : accept_population(X0,X1,n24)), 0.62/0.98 inference(ennf_transformation,[],[f558])). 0.62/0.98 fof(f578,plain,( 0.62/0.98 ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0)))), 0.62/0.98 inference(ennf_transformation,[],[f559])). 0.62/0.98 fof(f582,plain,( 0.62/0.98 ! [X0,X1,X2] : ((~accept_city(X0,X2) | ~accept_leader(X0,X1)) | ~the_agent_not_in_any_proposed_teams(X0,X1,X2))), 0.62/0.98 inference(ennf_transformation,[],[f564])). 0.62/0.98 fof(f583,plain,( 0.62/0.98 ! [X0,X1,X2] : (~accept_city(X0,X2) | ~accept_leader(X0,X1) | ~the_agent_not_in_any_proposed_teams(X0,X1,X2))), 0.62/0.98 inference(flattening,[],[f582])). 0.62/0.98 fof(f584,plain,( 0.62/0.98 ! [X0,X1,X2] : ((accept_city(X0,X2) & accept_leader(X0,X1)) | ~the_agent_in_all_proposed_teams(X0,X1,X2))), 0.62/0.98 inference(ennf_transformation,[],[f565])). 0.62/0.98 fof(f585,plain,( 0.62/0.98 ! [X0,X1,X2] : (accept_leader(X0,X1) | ~any_agent_in_all_proposed_teams(X0,X1,X2))), 0.62/0.98 inference(ennf_transformation,[],[f566])). 0.62/0.98 fof(f590,plain,( 0.62/0.98 ! [X0,X1,X2] : (rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) | (~rdn_non_zero(X1) | ~rdn_positive_less(rdnn(X0),rdnn(X2))))), 0.62/0.98 inference(ennf_transformation,[],[f569])). 0.62/0.98 fof(f591,plain,( 0.62/0.98 ! [X0,X1,X2] : (rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) | ~rdn_non_zero(X1) | ~rdn_positive_less(rdnn(X0),rdnn(X2)))), 0.62/0.98 inference(flattening,[],[f590])). 0.62/0.98 fof(f592,plain,( 0.62/0.98 ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdnn(X2)) | (~rdn_positive_less(rdnn(X1),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1))))), 0.62/0.98 inference(ennf_transformation,[],[f570])). 0.62/0.98 fof(f593,plain,( 0.62/0.98 ! [X0,X1,X2] : (rdn_positive_less(rdnn(X0),rdnn(X2)) | ~rdn_positive_less(rdnn(X1),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1)))), 0.62/0.98 inference(flattening,[],[f592])). 0.62/0.98 fof(f597,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : (less(X0,X1) | (~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3) | ~rdn_translate(X0,rdn_pos(X2))))), 0.62/0.98 inference(ennf_transformation,[],[f573])). 0.62/0.98 fof(f598,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : (less(X0,X1) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_positive_less(X2,X3) | ~rdn_translate(X0,rdn_pos(X2)))), 0.62/0.98 inference(flattening,[],[f597])). 0.62/0.98 fof(f601,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : (accept_population(X0,X3,X2) | (~less(X2,X1) | ~accept_population(X0,X3,X1)))), 0.62/0.98 inference(ennf_transformation,[],[f575])). 0.62/0.98 fof(f602,plain,( 0.62/0.98 ! [X0,X1,X2,X3] : (accept_population(X0,X3,X2) | ~less(X2,X1) | ~accept_population(X0,X3,X1))), 0.62/0.98 inference(flattening,[],[f601])). 0.62/0.98 fof(f603,plain,( 0.62/0.98 ( ! [X0,X1] : (accept_population(X0,X1,n24)) )), 0.62/0.98 inference(cnf_transformation,[],[f577])). 0.62/0.98 fof(f606,plain,( 0.62/0.98 rdn_non_zero_digit(rdnn(n7))), 0.62/0.98 inference(cnf_transformation,[],[f529])). 0.62/0.98 fof(f651,plain,( 0.62/0.98 the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)), 0.62/0.98 inference(cnf_transformation,[],[f187])). 0.62/0.98 fof(f679,plain,( 0.62/0.98 the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc)), 0.62/0.98 inference(cnf_transformation,[],[f140])). 0.62/0.98 fof(f692,plain,( 0.62/0.98 any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)), 0.62/0.98 inference(cnf_transformation,[],[f222])). 0.62/0.98 fof(f750,plain,( 0.62/0.98 rdn_positive_less(rdnn(n6),rdnn(n7))), 0.62/0.98 inference(cnf_transformation,[],[f546])). 0.62/0.98 fof(f752,plain,( 0.62/0.98 rdn_positive_less(rdnn(n7),rdnn(n8))), 0.62/0.98 inference(cnf_transformation,[],[f545])). 0.62/0.98 fof(f756,plain,( 0.62/0.98 rdn_positive_less(rdnn(n5),rdnn(n6))), 0.62/0.98 inference(cnf_transformation,[],[f552])). 0.62/0.98 fof(f832,plain,( 0.62/0.98 accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)), 0.62/0.98 inference(cnf_transformation,[],[f219])). 0.62/0.98 fof(f845,plain,( 0.62/0.98 accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5)), 0.62/0.98 inference(cnf_transformation,[],[f205])). 0.62/0.98 fof(f944,plain,( 0.62/0.98 rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7))))), 0.62/0.98 inference(cnf_transformation,[],[f342])). 0.62/0.98 fof(f1008,plain,( 0.62/0.98 rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7))))), 0.62/0.98 inference(cnf_transformation,[],[f406])). 0.62/0.98 fof(f1041,plain,( 0.62/0.98 rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7))))), 0.62/0.98 inference(cnf_transformation,[],[f439])). 0.62/0.98 fof(f1127,plain,( 0.62/0.98 ( ! [X0] : (rdn_non_zero(rdnn(X0)) | ~rdn_non_zero_digit(rdnn(X0))) )), 0.62/0.98 inference(cnf_transformation,[],[f578])). 0.62/0.98 fof(f1139,plain,( 0.62/0.98 ( ! [X0] : (~accept_population(X0,christian,n24) | ~accept_population(X0,other,n0) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,atheist,n75) | accept_city(X0,towna)) )), 0.62/0.98 inference(cnf_transformation,[],[f19])). 0.62/0.98 fof(f1150,plain,( 0.62/0.98 ( ! [X0] : (accept_population(X0,native,n0) | ~accept_city(X0,townc)) )), 0.62/0.98 inference(cnf_transformation,[],[f18])). 0.62/0.98 fof(f1185,plain,( 0.62/0.98 ( ! [X0] : (accept_population(X0,muslim,n1) | ~accept_city(X0,cityb)) )), 0.62/0.98 inference(cnf_transformation,[],[f6])). 0.62/0.98 fof(f1187,plain,( 0.62/0.98 ( ! [X0] : (accept_population(X0,atheist,n78) | ~accept_city(X0,cityb)) )), 0.62/0.98 inference(cnf_transformation,[],[f6])). 0.62/0.98 fof(f1191,plain,( 0.62/0.98 ( ! [X0] : (accept_population(X0,other,n0) | ~accept_city(X0,coastvillage)) )), 0.62/0.98 inference(cnf_transformation,[],[f16])). 0.62/0.98 fof(f1215,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (~accept_city(X0,X2) | ~accept_leader(X0,X1) | ~the_agent_not_in_any_proposed_teams(X0,X1,X2)) )), 0.62/0.98 inference(cnf_transformation,[],[f583])). 0.62/0.98 fof(f1217,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (accept_city(X0,X2) | ~the_agent_in_all_proposed_teams(X0,X1,X2)) )), 0.62/0.98 inference(cnf_transformation,[],[f584])). 0.62/0.98 fof(f1218,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (accept_leader(X0,X1) | ~any_agent_in_all_proposed_teams(X0,X1,X2)) )), 0.62/0.98 inference(cnf_transformation,[],[f585])). 0.62/0.98 fof(f1221,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) | ~rdn_non_zero(X1) | ~rdn_positive_less(rdnn(X0),rdnn(X2))) )), 0.62/0.98 inference(cnf_transformation,[],[f591])). 0.62/0.98 fof(f1222,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (rdn_positive_less(rdnn(X0),rdnn(X2)) | ~rdn_positive_less(rdnn(X1),rdnn(X2)) | ~rdn_positive_less(rdnn(X0),rdnn(X1))) )), 0.62/0.98 inference(cnf_transformation,[],[f593])). 0.62/0.98 fof(f1225,plain,( 0.62/0.98 ( ! [X2,X0,X3,X1] : (less(X0,X1) | ~rdn_positive_less(X2,X3) | ~rdn_translate(X1,rdn_pos(X3)) | ~rdn_translate(X0,rdn_pos(X2))) )), 0.62/0.98 inference(cnf_transformation,[],[f598])). 0.62/0.98 fof(f1227,plain,( 0.62/0.98 ( ! [X2,X0,X3,X1] : (accept_population(X0,X3,X2) | ~less(X2,X1) | ~accept_population(X0,X3,X1)) )), 0.62/0.98 inference(cnf_transformation,[],[f602])). 0.62/0.98 fof(f1228,plain,( 0.62/0.98 ( ! [X2,X0,X3,X1] : (accept_city(X0,X1) | ~accept_team(X0,X3,X1,X2)) )), 0.62/0.98 inference(cnf_transformation,[],[f576])). 0.62/0.98 fof(f1379,plain,( 0.62/0.98 ( ! [X0] : (accept_city(X0,towna) | ~accept_population(X0,native,n0) | ~accept_population(X0,muslim,n1) | ~accept_population(X0,atheist,n75) | ~accept_population(X0,other,n0)) )), 0.62/0.98 inference(resolution,[],[f1139,f603])). 0.62/0.98 fof(f1391,plain,( 0.62/0.98 ( ! [X4,X3] : (~the_agent_not_in_any_proposed_teams(X3,X4,towna) | ~accept_population(X3,muslim,n1) | ~accept_population(X3,atheist,n75) | ~accept_population(X3,other,n0) | ~accept_leader(X3,X4) | ~accept_population(X3,native,n0)) )), 0.62/0.98 inference(resolution,[],[f1379,f1215])). 0.62/0.98 fof(f1393,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,muslim,n1) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,n75) | ~accept_population(muslimcountrybhumanitarianorganization,other,n0) | ~accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) | ~accept_population(muslimcountrybhumanitarianorganization,native,n0)), 0.62/0.98 inference(resolution,[],[f1391,f651])). 0.62/0.98 fof(f1395,plain,( 0.62/0.98 spl0_1 <=> ~accept_population(muslimcountrybhumanitarianorganization,native,n0)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.62/0.98 fof(f1396,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,native,n0) | ~spl0_1), 0.62/0.98 inference(avatar_component_clause,[],[f1395])). 0.62/0.98 fof(f1401,plain,( 0.62/0.98 spl0_5 <=> ~accept_population(muslimcountrybhumanitarianorganization,other,n0)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.62/0.98 fof(f1402,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,other,n0) | ~spl0_5), 0.62/0.98 inference(avatar_component_clause,[],[f1401])). 0.62/0.98 fof(f1404,plain,( 0.62/0.98 spl0_7 <=> ~accept_population(muslimcountrybhumanitarianorganization,atheist,n75)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.62/0.98 fof(f1405,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,atheist,n75) | ~spl0_7), 0.62/0.98 inference(avatar_component_clause,[],[f1404])). 0.62/0.98 fof(f1407,plain,( 0.62/0.98 spl0_9 <=> ~accept_population(muslimcountrybhumanitarianorganization,muslim,n1)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])). 0.62/0.98 fof(f1408,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,muslim,n1) | ~spl0_9), 0.62/0.98 inference(avatar_component_clause,[],[f1407])). 0.62/0.98 fof(f1411,plain,( 0.62/0.98 spl0_11 <=> ~accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 0.62/0.98 fof(f1412,plain,( 0.62/0.98 ~accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) | ~spl0_11), 0.62/0.98 inference(avatar_component_clause,[],[f1411])). 0.62/0.98 fof(f1413,plain,( 0.62/0.98 ~spl0_1 | ~spl0_11 | ~spl0_5 | ~spl0_7 | ~spl0_9), 0.62/0.98 inference(avatar_split_clause,[],[f1393,f1407,f1404,f1401,f1411,f1395])). 0.62/0.98 fof(f1418,plain,( 0.62/0.98 ( ! [X2] : (~any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X2)) ) | ~spl0_11), 0.62/0.98 inference(resolution,[],[f1412,f1218])). 0.62/0.98 fof(f1423,plain,( 0.62/0.98 ~accept_city(muslimcountrybhumanitarianorganization,townc) | ~spl0_1), 0.62/0.98 inference(resolution,[],[f1396,f1150])). 0.62/0.98 fof(f1433,plain,( 0.62/0.98 ( ! [X2] : (~the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,X2,townc)) ) | ~spl0_1), 0.62/0.98 inference(resolution,[],[f1423,f1217])). 0.62/0.98 fof(f1439,plain,( 0.62/0.98 ~accept_city(muslimcountrybhumanitarianorganization,coastvillage) | ~spl0_5), 0.62/0.98 inference(resolution,[],[f1402,f1191])). 0.62/0.98 fof(f1444,plain,( 0.62/0.98 ( ! [X0,X1] : (~accept_team(muslimcountrybhumanitarianorganization,X0,coastvillage,X1)) ) | ~spl0_5), 0.62/0.98 inference(resolution,[],[f1439,f1228])). 0.62/0.98 fof(f1450,plain,( 0.62/0.98 ( ! [X0] : (~less(n75,X0) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X0)) ) | ~spl0_7), 0.62/0.98 inference(resolution,[],[f1405,f1227])). 0.62/0.98 fof(f1451,plain,( 0.62/0.98 ~accept_city(muslimcountrybhumanitarianorganization,cityb) | ~spl0_9), 0.62/0.98 inference(resolution,[],[f1408,f1185])). 0.62/0.98 fof(f1462,plain,( 0.62/0.98 $false | ~spl0_11), 0.62/0.98 inference(resolution,[],[f1418,f692])). 0.62/0.98 fof(f1463,plain,( 0.62/0.98 spl0_11), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1462])). 0.62/0.98 fof(f1466,plain,( 0.62/0.98 $false | ~spl0_1), 0.62/0.98 inference(resolution,[],[f1433,f679])). 0.62/0.98 fof(f1467,plain,( 0.62/0.98 spl0_1), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1466])). 0.62/0.98 fof(f1473,plain,( 0.62/0.98 ( ! [X0,X1] : (~accept_team(muslimcountrybhumanitarianorganization,X0,cityb,X1)) ) | ~spl0_9), 0.62/0.98 inference(resolution,[],[f1451,f1228])). 0.62/0.98 fof(f1477,plain,( 0.62/0.98 $false | ~spl0_5), 0.62/0.98 inference(resolution,[],[f1444,f845])). 0.62/0.98 fof(f1480,plain,( 0.62/0.98 spl0_5), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1477])). 0.62/0.98 fof(f1488,plain,( 0.62/0.98 $false | ~spl0_9), 0.62/0.98 inference(resolution,[],[f1473,f832])). 0.62/0.98 fof(f1493,plain,( 0.62/0.98 spl0_9), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1488])). 0.62/0.98 fof(f1494,plain,( 0.62/0.98 ( ! [X2,X0,X1] : (~rdn_translate(n75,rdn_pos(X1)) | ~rdn_positive_less(X1,X2) | ~rdn_translate(X0,rdn_pos(X2)) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X0)) ) | ~spl0_7), 0.62/0.98 inference(resolution,[],[f1450,f1225])). 0.62/0.98 fof(f1561,plain,( 0.62/0.98 spl0_39 <=> ~accept_city(muslimcountrybhumanitarianorganization,cityb)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_39])])). 0.62/0.98 fof(f1562,plain,( 0.62/0.98 ~accept_city(muslimcountrybhumanitarianorganization,cityb) | ~spl0_39), 0.62/0.98 inference(avatar_component_clause,[],[f1561])). 0.62/0.98 fof(f1604,plain,( 0.62/0.98 ( ! [X0,X1] : (~accept_team(muslimcountrybhumanitarianorganization,X0,cityb,X1)) ) | ~spl0_39), 0.62/0.98 inference(resolution,[],[f1562,f1228])). 0.62/0.98 fof(f1623,plain,( 0.62/0.98 $false | ~spl0_39), 0.62/0.98 inference(resolution,[],[f1604,f832])). 0.62/0.98 fof(f1628,plain,( 0.62/0.98 spl0_39), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1623])). 0.62/0.98 fof(f1637,plain,( 0.62/0.98 ( ! [X0,X1] : (~rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0) | ~rdn_translate(X1,rdn_pos(X0)) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X1)) ) | ~spl0_7), 0.62/0.98 inference(resolution,[],[f1494,f1008])). 0.62/0.98 fof(f1639,plain,( 0.62/0.98 ( ! [X4,X3] : (~rdn_translate(X3,rdn_pos(rdn(rdnn(X4),rdnn(n7)))) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X3) | ~rdn_non_zero(rdnn(n7)) | ~rdn_positive_less(rdnn(n5),rdnn(X4))) ) | ~spl0_7), 0.62/0.98 inference(resolution,[],[f1637,f1221])). 0.62/0.98 fof(f1641,plain,( 0.62/0.98 spl0_55 <=> ~rdn_non_zero(rdnn(n7))), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_55])])). 0.62/0.98 fof(f1642,plain,( 0.62/0.98 ~rdn_non_zero(rdnn(n7)) | ~spl0_55), 0.62/0.98 inference(avatar_component_clause,[],[f1641])). 0.62/0.98 fof(f1644,plain,( 0.62/0.98 spl0_56 <=> ! [X3,X4] : (~rdn_translate(X3,rdn_pos(rdn(rdnn(X4),rdnn(n7)))) | ~rdn_positive_less(rdnn(n5),rdnn(X4)) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X3))), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_56])])). 0.62/0.98 fof(f1645,plain,( 0.62/0.98 ( ! [X4,X3] : (~rdn_positive_less(rdnn(n5),rdnn(X4)) | ~rdn_translate(X3,rdn_pos(rdn(rdnn(X4),rdnn(n7)))) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X3)) ) | ~spl0_56), 0.62/0.98 inference(avatar_component_clause,[],[f1644])). 0.62/0.98 fof(f1646,plain,( 0.62/0.98 ~spl0_55 | spl0_56 | spl0_7), 0.62/0.98 inference(avatar_split_clause,[],[f1639,f1404,f1644,f1641])). 0.62/0.98 fof(f1647,plain,( 0.62/0.98 ~rdn_non_zero_digit(rdnn(n7)) | ~spl0_55), 0.62/0.98 inference(resolution,[],[f1642,f1127])). 0.62/0.98 fof(f1648,plain,( 0.62/0.98 $false | ~spl0_55), 0.62/0.98 inference(resolution,[],[f1647,f606])). 0.62/0.98 fof(f1649,plain,( 0.62/0.98 spl0_55), 0.62/0.98 inference(avatar_contradiction_clause,[],[f1648])). 0.62/0.98 fof(f15803,plain,( 0.62/0.98 ( ! [X0] : (~rdn_translate(X0,rdn_pos(rdn(rdnn(n6),rdnn(n7)))) | ~accept_population(muslimcountrybhumanitarianorganization,atheist,X0)) ) | ~spl0_56), 0.62/0.98 inference(resolution,[],[f1645,f756])). 0.62/0.98 fof(f15805,plain,( 0.62/0.98 ~accept_population(muslimcountrybhumanitarianorganization,atheist,n76) | ~spl0_56), 0.62/0.98 inference(resolution,[],[f15803,f944])). 0.62/0.98 fof(f15806,plain,( 0.62/0.98 ( ! [X0] : (~accept_population(muslimcountrybhumanitarianorganization,atheist,X0) | ~less(n76,X0)) ) | ~spl0_56), 0.62/0.98 inference(resolution,[],[f15805,f1227])). 0.62/0.98 fof(f15814,plain,( 0.62/0.98 ~less(n76,n78) | ~accept_city(muslimcountrybhumanitarianorganization,cityb) | ~spl0_56), 0.62/0.98 inference(resolution,[],[f15806,f1187])). 0.62/0.98 fof(f15827,plain,( 0.62/0.98 spl0_551 <=> ~less(n76,n78)), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_551])])). 0.62/0.98 fof(f15828,plain,( 0.62/0.98 ~less(n76,n78) | ~spl0_551), 0.62/0.98 inference(avatar_component_clause,[],[f15827])). 0.62/0.98 fof(f15829,plain,( 0.62/0.98 ~spl0_39 | ~spl0_551 | ~spl0_56), 0.62/0.98 inference(avatar_split_clause,[],[f15814,f1644,f15827,f1561])). 0.62/0.98 fof(f15861,plain,( 0.62/0.98 ( ! [X0,X1] : (~rdn_translate(n76,rdn_pos(X0)) | ~rdn_translate(n78,rdn_pos(X1)) | ~rdn_positive_less(X0,X1)) ) | ~spl0_551), 0.62/0.98 inference(resolution,[],[f15828,f1225])). 0.62/0.98 fof(f16578,plain,( 0.62/0.98 ( ! [X0] : (~rdn_translate(n78,rdn_pos(X0)) | ~rdn_positive_less(rdn(rdnn(n6),rdnn(n7)),X0)) ) | ~spl0_551), 0.62/0.98 inference(resolution,[],[f15861,f944])). 0.62/0.98 fof(f16582,plain,( 0.62/0.98 ~rdn_positive_less(rdn(rdnn(n6),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) | ~spl0_551), 0.62/0.98 inference(resolution,[],[f16578,f1041])). 0.62/0.98 fof(f16612,plain,( 0.62/0.98 ~rdn_non_zero(rdnn(n7)) | ~rdn_positive_less(rdnn(n6),rdnn(n8)) | ~spl0_551), 0.62/0.98 inference(resolution,[],[f16582,f1221])). 0.62/0.98 fof(f16614,plain,( 0.62/0.98 spl0_581 <=> ~rdn_positive_less(rdnn(n6),rdnn(n8))), 0.62/0.98 introduced(avatar_definition,[new_symbols(naming,[spl0_581])])). 0.62/0.98 fof(f16615,plain,( 0.62/0.98 ~rdn_positive_less(rdnn(n6),rdnn(n8)) | ~spl0_581), 0.62/0.98 inference(avatar_component_clause,[],[f16614])). 0.62/0.98 fof(f16616,plain,( 0.62/0.98 ~spl0_581 | ~spl0_55 | spl0_551), 0.62/0.98 inference(avatar_split_clause,[],[f16612,f15827,f1641,f16614])). 0.62/0.98 fof(f16620,plain,( 0.62/0.98 ( ! [X0] : (~rdn_positive_less(rdnn(n6),rdnn(X0)) | ~rdn_positive_less(rdnn(X0),rdnn(n8))) ) | ~spl0_581), 0.62/0.98 inference(resolution,[],[f16615,f1222])). 0.62/0.98 fof(f16624,plain,( 0.62/0.98 ~rdn_positive_less(rdnn(n7),rdnn(n8)) | ~spl0_581), 0.62/0.98 inference(resolution,[],[f16620,f750])). 0.62/0.98 fof(f16626,plain,( 0.62/0.98 $false | ~spl0_581), 0.62/0.98 inference(resolution,[],[f16624,f752])). 0.62/0.98 fof(f16628,plain,( 0.62/0.98 spl0_581), 0.62/0.98 inference(avatar_contradiction_clause,[],[f16626])). 0.62/0.98 fof(f16629,plain,( 0.62/0.98 $false), 0.62/0.98 inference(avatar_sat_refutation,[],[f1413,f1463,f1467,f1480,f1493,f1628,f1646,f1649,f15829,f16616,f16628])). 0.62/0.98 % SZS output end Proof for theBenchmark 0.62/0.98 % ------------------------------ 0.62/0.98 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.62/0.98 % Termination reason: Refutation 0.62/0.98 0.62/0.98 % Memory used [KB]: 17014 0.62/0.98 % Time elapsed: 0.187 s 0.62/0.98 % ------------------------------ 0.62/0.98 % ------------------------------ 0.62/0.98 % Success in time 0.748 s 0.62/0.99 EOF