0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_vampire %s %d THM 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 : 1440 0.08/0.34 % WCLimit : 180 0.08/0.34 % DateTime : Mon Jul 27 09:44:36 UTC 2026 0.08/0.35 % CPUTime : 0.13/0.38 This is a FOF_ problem 0.13/0.39 Running first-order theorem proving 0.13/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.45 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.45 % (2492174)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=1981576414:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi) 0.13/0.49 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.49 % (2492173)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2781803909:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi) 0.13/0.49 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.49 % (2492172)lrs+1011_1_sp=occurrence:random_seed=62147259:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi) 0.13/0.49 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.49 % (2492175)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=3000905043:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi) 0.13/0.49 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.49 % (2492178)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=4114684528:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi) 0.13/0.49 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.13/0.49 % (2492177)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=205064222:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi) 0.57/0.50 % (2492178)Refutation not found, incomplete strategy% (2492178)------------------------------ 0.57/0.50 % (2492178)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.57/0.50 % (2492178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.57/0.50 % (2492178)Termination reason: Refutation not found, incomplete strategy 0.57/0.50 0.57/0.50 % (2492178)Time elapsed: 0.009 s 0.57/0.50 % (2492178)Peak memory usage: 12 MB 0.57/0.50 % (2492178)Instructions burned: 14 (million) 0.57/0.50 % (2492178)------------------------------ 0.57/0.50 % (2492178)------------------------------ 0.57/0.51 % (2492172)First to succeed. 0.57/0.51 % (2492175)Also succeeded, but the first one will report. 0.57/0.51 % (2492172)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2492170" 0.57/0.51 % (2492177)Also succeeded, but the first one will report. 0.57/0.51 % (2492170)Running in auto input_syntax mode. Trying TPTP 0.57/0.51 % (2492172)Refutation found. Thanks to Tanya! 0.57/0.51 % SZS status Theorem for theBenchmark 0.57/0.51 % SZS output start Proof for theBenchmark 0.57/0.51 fof(f1103,plain,( 0.57/0.51 $false), 0.57/0.51 inference(avatar_sat_refutation,[],[f629,f1046,f1053,f1063,f1079,f1102])). 0.57/0.51 fof(f1102,plain,( 0.57/0.51 ~spl17_1), 0.57/0.51 inference(avatar_contradiction_clause,[],[f1080])). 0.57/0.51 fof(f1080,plain,( 0.57/0.51 $false | ~spl17_1), 0.57/0.51 inference(resolution,[],[f625,f436])). 0.57/0.51 fof(f436,plain,( 0.57/0.51 int('48')), 0.57/0.51 inference(cnf_transformation,[],[f84])). 0.57/0.51 fof(f84,axiom,( 0.57/0.51 int('48')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f625,plain,( 0.57/0.51 ( ! [X6] : (~int(X6)) ) | ~spl17_1), 0.57/0.51 inference(avatar_component_clause,[],[f624])). 0.57/0.51 fof(f624,definition,( 0.57/0.51 spl17_1 <=> ! [X6] : ~int(X6)), 0.57/0.51 introduced(definition,[new_symbols(naming,[spl17_1])],[avatar_definition])). 0.57/0.51 fof(f1079,plain,( 0.57/0.51 ~spl17_5), 0.57/0.51 inference(avatar_contradiction_clause,[],[f1078])). 0.57/0.51 fof(f1078,plain,( 0.57/0.51 $false | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1077,f582])). 0.57/0.51 fof(f582,plain,( 0.57/0.51 real('55.75695')), 0.57/0.51 inference(cnf_transformation,[],[f229])). 0.57/0.51 fof(f229,axiom,( 0.57/0.51 real('55.75695')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1077,plain,( 0.57/0.51 ~real('55.75695') | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1076,f571])). 0.57/0.51 fof(f571,plain,( 0.57/0.51 real('37.614975')), 0.57/0.51 inference(cnf_transformation,[],[f218])). 0.57/0.51 fof(f218,axiom,( 0.57/0.51 real('37.614975')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1076,plain,( 0.57/0.51 ~real('37.614975') | ~real('55.75695') | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1075,f574])). 0.57/0.51 fof(f574,plain,( 0.57/0.51 '55' = to_int('55.75695')), 0.57/0.51 inference(cnf_transformation,[],[f221])). 0.57/0.51 fof(f221,axiom,( 0.57/0.51 '55' = to_int('55.75695')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1075,plain,( 0.57/0.51 '55' != to_int('55.75695') | ~real('37.614975') | ~real('55.75695') | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1074,f425])). 0.57/0.51 fof(f425,plain,( 0.57/0.51 s__SymbolicString(ru)), 0.57/0.51 inference(cnf_transformation,[],[f73])). 0.57/0.51 fof(f73,axiom,( 0.57/0.51 s__SymbolicString(ru)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1074,plain,( 0.57/0.51 ~s__SymbolicString(ru) | '55' != to_int('55.75695') | ~real('37.614975') | ~real('55.75695') | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1073,f565])). 0.57/0.51 fof(f565,plain,( 0.57/0.51 s__SymbolicString(moscow)), 0.57/0.51 inference(cnf_transformation,[],[f212])). 0.57/0.51 fof(f212,axiom,( 0.57/0.51 s__SymbolicString(moscow)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1073,plain,( 0.57/0.51 ~s__SymbolicString(moscow) | ~s__SymbolicString(ru) | '55' != to_int('55.75695') | ~real('37.614975') | ~real('55.75695') | ~spl17_5), 0.57/0.51 inference(resolution,[],[f1072,f595])). 0.57/0.51 fof(f595,plain,( 0.57/0.51 latlong(s__Moscow,'55.75695','37.614975',moscow,ru)), 0.57/0.51 inference(cnf_transformation,[],[f243])). 0.57/0.51 fof(f243,axiom,( 0.57/0.51 latlong(s__Moscow,'55.75695','37.614975',moscow,ru)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1072,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~latlong(s__Moscow,X2,X3,X0,X1) | ~s__SymbolicString(X0) | ~s__SymbolicString(X1) | '55' != to_int(X2) | ~real(X3) | ~real(X2)) ) | ~spl17_5), 0.57/0.51 inference(forward_demodulation,[],[f1071,f493])). 0.57/0.51 fof(f493,plain,( 0.57/0.51 '55' = to_int('55.67631')), 0.57/0.51 inference(cnf_transformation,[],[f140])). 0.57/0.51 fof(f140,axiom,( 0.57/0.51 '55' = to_int('55.67631')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1071,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~s__SymbolicString(X0) | ~s__SymbolicString(X1) | ~latlong(s__Moscow,X2,X3,X0,X1) | ~real(X3) | to_int('55.67631') != to_int(X2) | ~real(X2)) ) | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1070,f459])). 0.57/0.51 fof(f459,plain,( 0.57/0.51 real('12.569355')), 0.57/0.51 inference(cnf_transformation,[],[f107])). 0.57/0.51 fof(f107,axiom,( 0.57/0.51 real('12.569355')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1070,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~s__SymbolicString(X0) | ~s__SymbolicString(X1) | ~latlong(s__Moscow,X2,X3,X0,X1) | ~real(X3) | to_int('55.67631') != to_int(X2) | ~real(X2) | ~real('12.569355')) ) | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1069,f441])). 0.57/0.51 fof(f441,plain,( 0.57/0.51 s__SymbolicString(dk)), 0.57/0.51 inference(cnf_transformation,[],[f89])). 0.57/0.51 fof(f89,axiom,( 0.57/0.51 s__SymbolicString(dk)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1069,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~s__SymbolicString(X0) | ~s__SymbolicString(X1) | ~latlong(s__Moscow,X2,X3,X0,X1) | ~real(X3) | to_int('55.67631') != to_int(X2) | ~real(X2) | ~s__SymbolicString(dk) | ~real('12.569355')) ) | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1068,f564])). 0.57/0.51 fof(f564,plain,( 0.57/0.51 real('55.67631')), 0.57/0.51 inference(cnf_transformation,[],[f211])). 0.57/0.51 fof(f211,axiom,( 0.57/0.51 real('55.67631')), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1068,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~s__SymbolicString(X0) | ~s__SymbolicString(X1) | ~latlong(s__Moscow,X2,X3,X0,X1) | ~real(X3) | to_int('55.67631') != to_int(X2) | ~real('55.67631') | ~real(X2) | ~s__SymbolicString(dk) | ~real('12.569355')) ) | ~spl17_5), 0.57/0.51 inference(subsumption_resolution,[],[f1067,f478])). 0.57/0.51 fof(f478,plain,( 0.57/0.51 s__SymbolicString(copenhagen)), 0.57/0.51 inference(cnf_transformation,[],[f125])). 0.57/0.51 fof(f125,axiom,( 0.57/0.51 s__SymbolicString(copenhagen)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1067,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1] : (~s__SymbolicString(copenhagen) | ~s__SymbolicString(X0) | ~s__SymbolicString(X1) | ~latlong(s__Moscow,X2,X3,X0,X1) | ~real(X3) | to_int('55.67631') != to_int(X2) | ~real('55.67631') | ~real(X2) | ~s__SymbolicString(dk) | ~real('12.569355')) ) | ~spl17_5), 0.57/0.51 inference(resolution,[],[f1045,f460])). 0.57/0.51 fof(f460,plain,( 0.57/0.51 latlong(s__Copenhagen,'55.67631','12.569355',copenhagen,dk)), 0.57/0.51 inference(cnf_transformation,[],[f108])). 0.57/0.51 fof(f108,axiom,( 0.57/0.51 latlong(s__Copenhagen,'55.67631','12.569355',copenhagen,dk)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1045,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X7,X5] : (~latlong(s__Copenhagen,X0,X1,X5,X2) | ~s__SymbolicString(X5) | ~s__SymbolicString(X7) | ~s__SymbolicString(X8) | ~latlong(s__Moscow,X3,X6,X7,X8) | ~real(X6) | to_int(X0) != to_int(X3) | ~real(X0) | ~real(X3) | ~s__SymbolicString(X2) | ~real(X1)) ) | ~spl17_5), 0.57/0.51 inference(avatar_component_clause,[],[f1044])). 0.57/0.51 fof(f1044,definition,( 0.57/0.51 spl17_5 <=> ! [X2,X6,X1,X3,X0,X5,X8,X7] : (~real(X0) | ~s__SymbolicString(X5) | ~s__SymbolicString(X7) | ~s__SymbolicString(X8) | ~latlong(s__Moscow,X3,X6,X7,X8) | ~real(X6) | to_int(X0) != to_int(X3) | ~latlong(s__Copenhagen,X0,X1,X5,X2) | ~real(X3) | ~s__SymbolicString(X2) | ~real(X1))), 0.57/0.51 introduced(definition,[new_symbols(naming,[spl17_5])],[avatar_definition])). 0.57/0.51 fof(f1063,plain,( 0.57/0.51 ~spl17_4), 0.57/0.51 inference(avatar_contradiction_clause,[],[f1062])). 0.57/0.51 fof(f1062,plain,( 0.57/0.51 $false | ~spl17_4), 0.57/0.51 inference(subsumption_resolution,[],[f1061,f589])). 0.57/0.51 fof(f589,plain,( 0.57/0.51 s__Nation(s__Denmark)), 0.57/0.51 inference(cnf_transformation,[],[f237])). 0.57/0.51 fof(f237,axiom,( 0.57/0.51 s__Nation(s__Denmark)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1061,plain,( 0.57/0.51 ~s__Nation(s__Denmark) | ~spl17_4), 0.57/0.51 inference(resolution,[],[f1059,f800])). 0.57/0.51 fof(f800,plain,( 0.57/0.51 ( ! [X0] : (s__Region(X0) | ~s__Nation(X0)) )), 0.57/0.51 inference(resolution,[],[f753,f559])). 0.57/0.51 fof(f559,plain,( 0.57/0.51 ( ! [X0] : (s__GeopoliticalArea(X0) | ~s__Nation(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f306])). 0.57/0.51 fof(f306,plain,( 0.57/0.51 ! [X0] : (s__GeopoliticalArea(X0) | ~s__Nation(X0))), 0.57/0.51 inference(ennf_transformation,[],[f206])). 0.57/0.51 fof(f206,axiom,( 0.57/0.51 ! [X0] : (s__Nation(X0) => s__GeopoliticalArea(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f753,plain,( 0.57/0.51 ( ! [X0] : (~s__GeopoliticalArea(X0) | s__Region(X0)) )), 0.57/0.51 inference(resolution,[],[f617,f540])). 0.57/0.51 fof(f540,plain,( 0.57/0.51 ( ! [X0] : (~s__GeographicArea(X0) | s__Region(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f305])). 0.57/0.51 fof(f305,plain,( 0.57/0.51 ! [X0] : (s__Region(X0) | ~s__GeographicArea(X0))), 0.57/0.51 inference(ennf_transformation,[],[f187])). 0.57/0.51 fof(f187,axiom,( 0.57/0.51 ! [X0] : (s__GeographicArea(X0) => s__Region(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f617,plain,( 0.57/0.51 ( ! [X0] : (s__GeographicArea(X0) | ~s__GeopoliticalArea(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f317])). 0.57/0.51 fof(f317,plain,( 0.57/0.51 ! [X0] : (s__GeographicArea(X0) | ~s__GeopoliticalArea(X0))), 0.57/0.51 inference(ennf_transformation,[],[f265])). 0.57/0.51 fof(f265,axiom,( 0.57/0.51 ! [X0] : (s__GeopoliticalArea(X0) => s__GeographicArea(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1059,plain,( 0.57/0.51 ~s__Region(s__Denmark) | ~spl17_4), 0.57/0.51 inference(resolution,[],[f1058,f357])). 0.57/0.51 fof(f357,plain,( 0.57/0.51 ( ! [X0] : (s__Object(X0) | ~s__Region(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f274])). 0.57/0.51 fof(f274,plain,( 0.57/0.51 ! [X0] : (s__Object(X0) | ~s__Region(X0))), 0.57/0.51 inference(ennf_transformation,[],[f5])). 0.57/0.51 fof(f5,axiom,( 0.57/0.51 ! [X0] : (s__Region(X0) => s__Object(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1058,plain,( 0.57/0.51 ~s__Object(s__Denmark) | ~spl17_4), 0.57/0.51 inference(subsumption_resolution,[],[f1057,f536])). 0.57/0.51 fof(f536,plain,( 0.57/0.51 is_instance(s__Denmark,s__OECDMemberEconomiesClass)), 0.57/0.51 inference(cnf_transformation,[],[f183])). 0.57/0.51 fof(f183,axiom,( 0.57/0.51 is_instance(s__Denmark,s__OECDMemberEconomiesClass)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1057,plain,( 0.57/0.51 ~s__Object(s__Denmark) | ~is_instance(s__Denmark,s__OECDMemberEconomiesClass) | ~spl17_4), 0.57/0.51 inference(resolution,[],[f1042,f430])). 0.57/0.51 fof(f430,plain,( 0.57/0.51 capital_city(s__Copenhagen,s__Denmark)), 0.57/0.51 inference(cnf_transformation,[],[f78])). 0.57/0.51 fof(f78,axiom,( 0.57/0.51 capital_city(s__Copenhagen,s__Denmark)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1042,plain,( 0.57/0.51 ( ! [X4] : (~capital_city(s__Copenhagen,X4) | ~s__Object(X4) | ~is_instance(X4,s__OECDMemberEconomiesClass)) ) | ~spl17_4), 0.57/0.51 inference(avatar_component_clause,[],[f1041])). 0.57/0.51 fof(f1041,definition,( 0.57/0.51 spl17_4 <=> ! [X4] : (~is_instance(X4,s__OECDMemberEconomiesClass) | ~s__Object(X4) | ~capital_city(s__Copenhagen,X4))), 0.57/0.51 introduced(definition,[new_symbols(naming,[spl17_4])],[avatar_definition])). 0.57/0.51 fof(f1053,plain,( 0.57/0.51 spl17_3), 0.57/0.51 inference(avatar_contradiction_clause,[],[f1052])). 0.57/0.51 fof(f1052,plain,( 0.57/0.51 $false | spl17_3), 0.57/0.51 inference(subsumption_resolution,[],[f1050,f396])). 0.57/0.51 fof(f396,plain,( 0.57/0.51 s__City(s__Copenhagen)), 0.57/0.51 inference(cnf_transformation,[],[f44])). 0.57/0.51 fof(f44,axiom,( 0.57/0.51 s__City(s__Copenhagen)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1050,plain,( 0.57/0.51 ~s__City(s__Copenhagen) | spl17_3), 0.57/0.51 inference(resolution,[],[f1047,f801])). 0.57/0.51 fof(f801,plain,( 0.57/0.51 ( ! [X0] : (s__Region(X0) | ~s__City(X0)) )), 0.57/0.51 inference(resolution,[],[f753,f367])). 0.57/0.51 fof(f367,plain,( 0.57/0.51 ( ! [X0] : (s__GeopoliticalArea(X0) | ~s__City(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f276])). 0.57/0.51 fof(f276,plain,( 0.57/0.51 ! [X0] : (s__GeopoliticalArea(X0) | ~s__City(X0))), 0.57/0.51 inference(ennf_transformation,[],[f15])). 0.57/0.51 fof(f15,axiom,( 0.57/0.51 ! [X0] : (s__City(X0) => s__GeopoliticalArea(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1047,plain,( 0.57/0.51 ~s__Region(s__Copenhagen) | spl17_3), 0.57/0.51 inference(resolution,[],[f1039,f357])). 0.57/0.51 fof(f1039,plain,( 0.57/0.51 ~s__Object(s__Copenhagen) | spl17_3), 0.57/0.51 inference(avatar_component_clause,[],[f1037])). 0.57/0.51 fof(f1037,definition,( 0.57/0.51 spl17_3 <=> s__Object(s__Copenhagen)), 0.57/0.51 introduced(definition,[new_symbols(naming,[spl17_3])],[avatar_definition])). 0.57/0.51 fof(f1046,plain,( 0.57/0.51 ~spl17_3 | spl17_4 | spl17_5 | ~spl17_2), 0.57/0.51 inference(avatar_split_clause,[],[f1035,f627,f1044,f1041,f1037])). 0.57/0.51 fof(f627,definition,( 0.57/0.51 spl17_2 <=> ! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] : (~s__Object(X0) | ~s__Object(X1) | ~real(X2) | ~real(X3) | ~s__SymbolicString(X5) | ~real(X7) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~capital_city(X0,X1) | ~look_different(X0,s__Moscow) | ~latlong(X0,X2,X3,X4,X5) | ~s__capability(s__Flooding__t,s__located__m,X0) | to_int(X7) != to_int(X2) | ~real(X8) | ~latlong(s__Moscow,X7,X8,X9,X10) | ~s__SymbolicString(X10) | ~s__SymbolicString(X9) | ~s__SymbolicString(X4))), 0.57/0.51 introduced(definition,[new_symbols(naming,[spl17_2])],[avatar_definition])). 0.57/0.51 fof(f1035,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : (~real(X0) | ~real(X1) | ~s__SymbolicString(X2) | ~real(X3) | ~is_instance(X4,s__OECDMemberEconomiesClass) | ~capital_city(s__Copenhagen,X4) | ~latlong(s__Copenhagen,X0,X1,X5,X2) | ~s__Object(s__Copenhagen) | to_int(X0) != to_int(X3) | ~real(X6) | ~latlong(s__Moscow,X3,X6,X7,X8) | ~s__SymbolicString(X8) | ~s__SymbolicString(X7) | ~s__SymbolicString(X5) | ~s__Object(X4)) ) | ~spl17_2), 0.57/0.51 inference(subsumption_resolution,[],[f1034,f396])). 0.57/0.51 fof(f1034,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : (~real(X0) | ~real(X1) | ~s__SymbolicString(X2) | ~real(X3) | ~is_instance(X4,s__OECDMemberEconomiesClass) | ~capital_city(s__Copenhagen,X4) | ~latlong(s__Copenhagen,X0,X1,X5,X2) | ~s__Object(s__Copenhagen) | to_int(X0) != to_int(X3) | ~real(X6) | ~latlong(s__Moscow,X3,X6,X7,X8) | ~s__SymbolicString(X8) | ~s__SymbolicString(X7) | ~s__SymbolicString(X5) | ~s__Object(X4) | ~s__City(s__Copenhagen)) ) | ~spl17_2), 0.57/0.51 inference(subsumption_resolution,[],[f1033,f464])). 0.57/0.51 fof(f464,plain,( 0.57/0.51 look_different(s__Copenhagen,s__Moscow)), 0.57/0.51 inference(cnf_transformation,[],[f112])). 0.57/0.51 fof(f112,axiom,( 0.57/0.51 look_different(s__Copenhagen,s__Moscow)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f1033,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : (~real(X0) | ~real(X1) | ~s__SymbolicString(X2) | ~real(X3) | ~is_instance(X4,s__OECDMemberEconomiesClass) | ~capital_city(s__Copenhagen,X4) | ~look_different(s__Copenhagen,s__Moscow) | ~latlong(s__Copenhagen,X0,X1,X5,X2) | ~s__Object(s__Copenhagen) | to_int(X0) != to_int(X3) | ~real(X6) | ~latlong(s__Moscow,X3,X6,X7,X8) | ~s__SymbolicString(X8) | ~s__SymbolicString(X7) | ~s__SymbolicString(X5) | ~s__Object(X4) | ~s__City(s__Copenhagen)) ) | ~spl17_2), 0.57/0.51 inference(resolution,[],[f993,f534])). 0.57/0.51 fof(f534,plain,( 0.57/0.51 is_instance(s__Copenhagen,s__CoastalCitiesClass)), 0.57/0.51 inference(cnf_transformation,[],[f181])). 0.57/0.51 fof(f181,axiom,( 0.57/0.51 is_instance(s__Copenhagen,s__CoastalCitiesClass)), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f993,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : (~is_instance(X5,s__CoastalCitiesClass) | ~real(X1) | ~real(X2) | ~s__SymbolicString(X3) | ~real(X4) | ~is_instance(X0,s__OECDMemberEconomiesClass) | ~capital_city(X5,X0) | ~look_different(X5,s__Moscow) | ~latlong(X5,X1,X2,X6,X3) | ~s__Object(X5) | to_int(X1) != to_int(X4) | ~real(X7) | ~latlong(s__Moscow,X4,X7,X8,X9) | ~s__SymbolicString(X9) | ~s__SymbolicString(X8) | ~s__SymbolicString(X6) | ~s__Object(X0) | ~s__City(X5)) ) | ~spl17_2), 0.57/0.51 inference(subsumption_resolution,[],[f992,f471])). 0.57/0.51 fof(f471,plain,( 0.57/0.51 ( ! [X0] : (s__Sea(sK7(X0)) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f334])). 0.57/0.51 fof(f334,plain,( 0.57/0.51 ! [X0] : ((s__orientation(X0,sK7(X0),s__Near) & s__Sea(sK7(X0))) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0))), 0.57/0.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f292,f333])). 0.57/0.51 fof(f333,plain,( 0.57/0.51 ! [X0] : (? [X1] : (s__orientation(X0,X1,s__Near) & s__Sea(X1)) => (s__orientation(X0,sK7(X0),s__Near) & s__Sea(sK7(X0))))), 0.57/0.51 introduced(definition,[],[choice_axiom])). 0.57/0.51 fof(f292,plain,( 0.57/0.51 ! [X0] : (? [X1] : (s__orientation(X0,X1,s__Near) & s__Sea(X1)) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0))), 0.57/0.51 inference(flattening,[],[f291])). 0.57/0.51 fof(f291,plain,( 0.57/0.51 ! [X0] : ((? [X1] : (s__orientation(X0,X1,s__Near) & s__Sea(X1)) | ~is_instance(X0,s__CoastalCitiesClass)) | ~s__City(X0))), 0.57/0.51 inference(ennf_transformation,[],[f272])). 0.57/0.51 fof(f272,plain,( 0.57/0.51 ! [X0] : (s__City(X0) => (is_instance(X0,s__CoastalCitiesClass) => ? [X1] : (s__orientation(X0,X1,s__Near) & s__Sea(X1))))), 0.57/0.51 inference(rectify,[],[f119])). 0.57/0.51 fof(f119,axiom,( 0.57/0.51 ! [X3] : (s__City(X3) => (is_instance(X3,s__CoastalCitiesClass) => ? [X4] : (s__orientation(X3,X4,s__Near) & s__Sea(X4))))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f992,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__Object(X0) | ~real(X1) | ~real(X2) | ~s__SymbolicString(X3) | ~real(X4) | ~is_instance(X0,s__OECDMemberEconomiesClass) | ~capital_city(X5,X0) | ~look_different(X5,s__Moscow) | ~latlong(X5,X1,X2,X6,X3) | ~s__Object(X5) | to_int(X1) != to_int(X4) | ~real(X7) | ~latlong(s__Moscow,X4,X7,X8,X9) | ~s__SymbolicString(X9) | ~s__SymbolicString(X8) | ~s__SymbolicString(X6) | ~is_instance(X5,s__CoastalCitiesClass) | ~s__City(X5) | ~s__Sea(sK7(X5))) ) | ~spl17_2), 0.57/0.51 inference(resolution,[],[f872,f429])). 0.57/0.51 fof(f429,plain,( 0.57/0.51 ( ! [X0] : (s__BodyOfWater(X0) | ~s__Sea(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f285])). 0.57/0.51 fof(f285,plain,( 0.57/0.51 ! [X0] : (s__BodyOfWater(X0) | ~s__Sea(X0))), 0.57/0.51 inference(ennf_transformation,[],[f77])). 0.57/0.51 fof(f77,axiom,( 0.57/0.51 ! [X0] : (s__Sea(X0) => s__BodyOfWater(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f872,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__BodyOfWater(sK7(X0)) | ~s__Object(X1) | ~real(X2) | ~real(X3) | ~s__SymbolicString(X4) | ~real(X5) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~capital_city(X0,X1) | ~look_different(X0,s__Moscow) | ~latlong(X0,X2,X3,X6,X4) | ~s__Object(X0) | to_int(X2) != to_int(X5) | ~real(X7) | ~latlong(s__Moscow,X5,X7,X8,X9) | ~s__SymbolicString(X9) | ~s__SymbolicString(X8) | ~s__SymbolicString(X6) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0)) ) | ~spl17_2), 0.57/0.51 inference(resolution,[],[f835,f476])). 0.57/0.51 fof(f476,plain,( 0.57/0.51 ( ! [X0] : (s__WaterArea(X0) | ~s__BodyOfWater(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f294])). 0.57/0.51 fof(f294,plain,( 0.57/0.51 ! [X0] : (s__WaterArea(X0) | ~s__BodyOfWater(X0))), 0.57/0.51 inference(ennf_transformation,[],[f123])). 0.57/0.51 fof(f123,axiom,( 0.57/0.51 ! [X0] : (s__BodyOfWater(X0) => s__WaterArea(X0))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f835,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__WaterArea(sK7(X0)) | ~s__City(X0) | ~s__Object(X1) | ~real(X2) | ~real(X3) | ~s__SymbolicString(X4) | ~real(X5) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~capital_city(X0,X1) | ~look_different(X0,s__Moscow) | ~latlong(X0,X2,X3,X6,X4) | ~s__Object(X0) | to_int(X2) != to_int(X5) | ~real(X7) | ~latlong(s__Moscow,X5,X7,X8,X9) | ~s__SymbolicString(X9) | ~s__SymbolicString(X8) | ~s__SymbolicString(X6) | ~is_instance(X0,s__CoastalCitiesClass)) ) | ~spl17_2), 0.57/0.51 inference(duplicate_literal_removal,[],[f834])). 0.57/0.51 fof(f834,plain,( 0.57/0.51 ( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__City(X0) | ~s__WaterArea(sK7(X0)) | ~s__Object(X1) | ~real(X2) | ~real(X3) | ~s__SymbolicString(X4) | ~real(X5) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~capital_city(X0,X1) | ~look_different(X0,s__Moscow) | ~latlong(X0,X2,X3,X6,X4) | ~s__Object(X0) | to_int(X2) != to_int(X5) | ~real(X7) | ~latlong(s__Moscow,X5,X7,X8,X9) | ~s__SymbolicString(X9) | ~s__SymbolicString(X8) | ~s__SymbolicString(X6) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0)) ) | ~spl17_2), 0.57/0.51 inference(resolution,[],[f774,f472])). 0.57/0.51 fof(f472,plain,( 0.57/0.51 ( ! [X0] : (s__orientation(X0,sK7(X0),s__Near) | ~is_instance(X0,s__CoastalCitiesClass) | ~s__City(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f334])). 0.57/0.51 fof(f774,plain,( 0.57/0.51 ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__orientation(X0,X1,s__Near) | ~s__City(X0) | ~s__WaterArea(X1) | ~s__Object(X2) | ~real(X3) | ~real(X4) | ~s__SymbolicString(X5) | ~real(X6) | ~is_instance(X2,s__OECDMemberEconomiesClass) | ~capital_city(X0,X2) | ~look_different(X0,s__Moscow) | ~latlong(X0,X3,X4,X7,X5) | ~s__Object(X0) | to_int(X6) != to_int(X3) | ~real(X8) | ~latlong(s__Moscow,X6,X8,X9,X10) | ~s__SymbolicString(X10) | ~s__SymbolicString(X9) | ~s__SymbolicString(X7)) ) | ~spl17_2), 0.57/0.51 inference(resolution,[],[f379,f628])). 0.57/0.51 fof(f628,plain,( 0.57/0.51 ( ! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] : (~s__capability(s__Flooding__t,s__located__m,X0) | ~s__Object(X1) | ~real(X2) | ~real(X3) | ~s__SymbolicString(X5) | ~real(X7) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~capital_city(X0,X1) | ~look_different(X0,s__Moscow) | ~latlong(X0,X2,X3,X4,X5) | ~s__Object(X0) | to_int(X7) != to_int(X2) | ~real(X8) | ~latlong(s__Moscow,X7,X8,X9,X10) | ~s__SymbolicString(X10) | ~s__SymbolicString(X9) | ~s__SymbolicString(X4)) ) | ~spl17_2), 0.57/0.51 inference(avatar_component_clause,[],[f627])). 0.57/0.51 fof(f379,plain,( 0.57/0.51 ( ! [X0,X1] : (s__capability(s__Flooding__t,s__located__m,X1) | ~s__orientation(X1,X0,s__Near) | ~s__City(X1) | ~s__WaterArea(X0)) )), 0.57/0.51 inference(cnf_transformation,[],[f279])). 0.57/0.51 fof(f279,plain,( 0.57/0.51 ! [X0,X1] : (s__capability(s__Flooding__t,s__located__m,X1) | ~s__orientation(X1,X0,s__Near) | ~s__City(X1) | ~s__WaterArea(X0))), 0.57/0.51 inference(flattening,[],[f278])). 0.57/0.51 fof(f278,plain,( 0.57/0.51 ! [X0,X1] : ((s__capability(s__Flooding__t,s__located__m,X1) | ~s__orientation(X1,X0,s__Near)) | (~s__City(X1) | ~s__WaterArea(X0)))), 0.57/0.51 inference(ennf_transformation,[],[f271])). 0.57/0.51 fof(f271,plain,( 0.57/0.51 ! [X0,X1] : ((s__City(X1) & s__WaterArea(X0)) => (s__orientation(X1,X0,s__Near) => s__capability(s__Flooding__t,s__located__m,X1)))), 0.57/0.51 inference(rectify,[],[f27])). 0.57/0.51 fof(f27,axiom,( 0.57/0.51 ! [X1,X2] : ((s__City(X2) & s__WaterArea(X1)) => (s__orientation(X2,X1,s__Near) => s__capability(s__Flooding__t,s__located__m,X2)))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 fof(f629,plain,( 0.57/0.51 spl17_1 | spl17_2), 0.57/0.51 inference(avatar_split_clause,[],[f588,f627,f624])). 0.57/0.51 fof(f588,plain,( 0.57/0.51 ( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : (~s__Object(X0) | ~s__SymbolicString(X4) | ~int(X6) | ~real(X8) | ~s__SymbolicString(X9) | ~s__SymbolicString(X10) | to_int(X7) != to_int(X2) | ~s__capability(s__Flooding__t,s__located__m,X0) | ~latlong(s__Moscow,X7,X8,X9,X10) | ~latlong(X0,X2,X3,X4,X5) | ~look_different(X0,s__Moscow) | ~capital_city(X0,X1) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~real(X7) | ~s__SymbolicString(X5) | ~real(X3) | ~real(X2) | ~s__Object(X1)) )), 0.57/0.51 inference(cnf_transformation,[],[f312])). 0.57/0.51 fof(f312,plain,( 0.57/0.51 ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : (~s__Object(X0) | ~s__SymbolicString(X4) | ~int(X6) | ~real(X8) | ~s__SymbolicString(X9) | ~s__SymbolicString(X10) | to_int(X7) != to_int(X2) | ~s__capability(s__Flooding__t,s__located__m,X0) | ~latlong(s__Moscow,X7,X8,X9,X10) | ~latlong(X0,X2,X3,X4,X5) | ~look_different(X0,s__Moscow) | ~capital_city(X0,X1) | ~is_instance(X1,s__OECDMemberEconomiesClass) | ~real(X7) | ~s__SymbolicString(X5) | ~real(X3) | ~real(X2) | ~s__Object(X1))), 0.57/0.51 inference(ennf_transformation,[],[f273])). 0.57/0.51 fof(f273,plain,( 0.57/0.51 ~? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : (s__Object(X0) & s__SymbolicString(X4) & int(X6) & real(X8) & s__SymbolicString(X9) & s__SymbolicString(X10) & to_int(X7) = to_int(X2) & s__capability(s__Flooding__t,s__located__m,X0) & latlong(s__Moscow,X7,X8,X9,X10) & latlong(X0,X2,X3,X4,X5) & look_different(X0,s__Moscow) & capital_city(X0,X1) & is_instance(X1,s__OECDMemberEconomiesClass) & real(X7) & s__SymbolicString(X5) & real(X3) & real(X2) & s__Object(X1))), 0.57/0.51 inference(rectify,[],[f236])). 0.57/0.51 fof(f236,negated_conjecture,( 0.57/0.51 ~? [X3,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : (s__Object(X3) & s__SymbolicString(X8) & int(X10) & real(X12) & s__SymbolicString(X13) & s__SymbolicString(X14) & to_int(X11) = to_int(X6) & s__capability(s__Flooding__t,s__located__m,X3) & latlong(s__Moscow,X11,X12,X13,X14) & latlong(X3,X6,X7,X8,X9) & look_different(X3,s__Moscow) & capital_city(X3,X5) & is_instance(X5,s__OECDMemberEconomiesClass) & real(X11) & s__SymbolicString(X9) & real(X7) & real(X6) & s__Object(X5))), 0.57/0.51 inference(negated_conjecture,[status(cth)],[f235])). 0.57/0.51 fof(f235,conjecture,( 0.57/0.51 ? [X3,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : (s__Object(X3) & s__SymbolicString(X8) & int(X10) & real(X12) & s__SymbolicString(X13) & s__SymbolicString(X14) & to_int(X11) = to_int(X6) & s__capability(s__Flooding__t,s__located__m,X3) & latlong(s__Moscow,X11,X12,X13,X14) & latlong(X3,X6,X7,X8,X9) & look_different(X3,s__Moscow) & capital_city(X3,X5) & is_instance(X5,s__OECDMemberEconomiesClass) & real(X11) & s__SymbolicString(X9) & real(X7) & real(X6) & s__Object(X5))), 0.57/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.57/0.51 % SZS output end Proof for theBenchmark 0.57/0.51 % (2492172)------------------------------ 0.57/0.51 % (2492172)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.57/0.51 % (2492172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.57/0.51 % (2492172)Termination reason: Refutation 0.57/0.51 0.57/0.51 % (2492172)Time elapsed: 0.020 s 0.57/0.51 % (2492172)Peak memory usage: 12 MB 0.57/0.51 % (2492172)Instructions burned: 32 (million) 0.57/0.51 % (2492172)------------------------------ 0.57/0.51 % (2492172)------------------------------ 0.57/0.51 % (2492170)Success in time 0.119 s 0.57/0.51 EOF