0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.38 % Computer : n027.cluster.edu 0.10/0.38 % Model : x86_64 x86_64 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.38 % Memory : 8046.5625MB 0.10/0.38 % OS : Linux 6.8.0-71-generic 0.10/0.38 % CPULimit : 1440 0.10/0.38 % WCLimit : 180 0.10/0.38 % DateTime : Mon Jul 27 09:04:37 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.41 Running first-order theorem proving 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.38/0.94 % (2840063)Detected formulas, will run a generic FOF schedule. 0.38/0.94 % (2840073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1876194986:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 0.38/0.94 % (2840073)First to succeed. 0.38/0.94 % (2840073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2840063" 0.38/0.94 % (2840068)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=927139773:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 0.38/0.94 % (2840070)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=436645178:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 0.38/0.94 % (2840069)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2687306254:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 0.38/0.94 % (2840071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2101647280:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 0.38/0.94 % (2840072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4145616782:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 0.38/0.94 % (2840071)Refutation not found, incomplete strategy 0.38/0.94 % (2840071)------------------------------ 0.38/0.94 % (2840071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 0.38/0.94 % (2840071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.38/0.94 % (2840071)CaDiCaL version: 2.1.3 0.38/0.94 % (2840071)Termination reason: Refutation not found, incomplete strategy 0.38/0.94 % (2840071)Time elapsed: 0.006 s 0.38/0.94 % (2840071)Peak memory usage: 88 MB 0.38/0.94 % (2840071)Instructions burned: 5 (million) 0.38/0.94 % (2840072)Also succeeded, but the first one will report. 0.38/0.94 % (2840074)dis-21_1_sil=8000:lcm=predicate:random_seed=1593375746:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi) 0.38/0.94 % (2840073)Refutation found. Thanks to Tanya! 0.38/0.94 % SZS status Theorem for theBenchmark 0.38/0.94 % SZS output start Proof for theBenchmark 0.38/0.94 fof(f10,axiom,( 0.38/0.94 ! [X0,X1] : (inner_point(X0,X1) <=> (~end_point(X0,X1) & incident_c(X0,X1)))), 0.38/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn)). 0.38/0.94 fof(f14,axiom,( 0.38/0.94 ! [X0,X1] : ((! [X2,X3] : ((part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) => (part_of(X2,X3) | part_of(X3,X2))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 0.38/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn)). 0.38/0.94 fof(f15,axiom,( 0.38/0.94 ! [X0,X1] : (! [X2] : (incident_c(X2,X1) => incident_c(X2,X0)) <=> part_of(X1,X0))), 0.38/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn)). 0.38/0.94 fof(f17,axiom,( 0.38/0.94 ! [X0,X1,X2,X3] : (between_c(X0,X1,X2,X3) <=> (? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X3 != X1))), 0.38/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn)). 0.38/0.94 fof(f18,conjecture,( 0.38/0.94 ! [X0,X1,X2,X3] : (between_c(X0,X1,X2,X3) => (incident_c(X2,X0) & incident_c(X3,X0) & X3 != X1 & X3 != X2 & X2 != X1 & incident_c(X1,X0)))), 0.38/0.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1)). 0.38/0.94 fof(f19,negated_conjecture,( 0.38/0.94 ~! [X0,X1,X2,X3] : (between_c(X0,X1,X2,X3) => (incident_c(X2,X0) & incident_c(X3,X0) & X3 != X1 & X3 != X2 & X2 != X1 & incident_c(X1,X0)))), 0.38/0.94 inference(negated_conjecture,[status(cth)],[f18])). 0.38/0.94 fof(f21,plain,( 0.38/0.94 ! [X0,X1,X2,X3] : (between_c(X0,X1,X2,X3) => (? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X3 != X1))), 0.38/0.94 inference(unused_predicate_definition_removal,[],[f17])). 0.38/0.94 fof(f39,plain,( 0.38/0.94 ! [X0,X1] : ((! [X2,X3] : ((part_of(X2,X3) | part_of(X3,X2)) | (~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 0.38/0.94 inference(ennf_transformation,[],[f14])). 0.38/0.94 fof(f40,plain,( 0.38/0.94 ! [X0,X1] : ((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) <=> end_point(X0,X1))), 2.35/1.05 inference(flattening,[],[f39])). 2.35/1.05 fof(f41,plain,( 2.35/1.05 ! [X0,X1] : (! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) <=> part_of(X1,X0))), 2.35/1.05 inference(ennf_transformation,[],[f15])). 2.35/1.05 fof(f43,plain,( 2.35/1.05 ! [X0,X1,X2,X3] : ((? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X3 != X1) | ~between_c(X0,X1,X2,X3))), 2.35/1.05 inference(ennf_transformation,[],[f21])). 2.35/1.05 fof(f44,plain,( 2.35/1.05 ? [X0,X1,X2,X3] : ((~incident_c(X2,X0) | ~incident_c(X3,X0) | X1 = X3 | X2 = X3 | X1 = X2 | ~incident_c(X1,X0)) & between_c(X0,X1,X2,X3))), 2.35/1.05 inference(ennf_transformation,[],[f19])). 2.35/1.05 fof(f56,plain,( 2.35/1.05 ! [X0,X1] : ((inner_point(X0,X1) | (end_point(X0,X1) | ~incident_c(X0,X1))) & ((~end_point(X0,X1) & incident_c(X0,X1)) | ~inner_point(X0,X1)))), 2.35/1.05 inference(nnf_transformation,[],[f10])). 2.35/1.05 fof(f57,plain,( 2.35/1.05 ! [X0,X1] : ((inner_point(X0,X1) | end_point(X0,X1) | ~incident_c(X0,X1)) & ((~end_point(X0,X1) & incident_c(X0,X1)) | ~inner_point(X0,X1)))), 2.35/1.05 inference(flattening,[],[f56])). 2.35/1.05 fof(f63,plain,( 2.35/1.05 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | (? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) | ~incident_c(X0,X1))))), 2.35/1.05 inference(nnf_transformation,[],[f40])). 2.35/1.05 fof(f64,plain,( 2.35/1.05 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X2) & incident_c(X0,X3) & part_of(X2,X1)) | ~incident_c(X0,X1)))), 2.35/1.05 inference(flattening,[],[f63])). 2.35/1.05 fof(f65,plain,( 2.35/1.05 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | ? [X4,X5] : (~part_of(X4,X5) & ~part_of(X5,X4) & part_of(X5,X1) & incident_c(X0,X4) & incident_c(X0,X5) & part_of(X4,X1)) | ~incident_c(X0,X1)))), 2.35/1.05 inference(rectify,[],[f64])). 2.35/1.05 fof(f66,plain,( 2.35/1.05 ! [X0,X1] : (((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X2) | ~incident_c(X0,X3) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~end_point(X0,X1)) & (end_point(X0,X1) | (~part_of(sK8(X0,X1),sK9(X0,X1)) & ~part_of(sK9(X0,X1),sK8(X0,X1)) & part_of(sK9(X0,X1),X1) & incident_c(X0,sK8(X0,X1)) & incident_c(X0,sK9(X0,X1)) & part_of(sK8(X0,X1),X1)) | ~incident_c(X0,X1)))), 2.35/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f65])). 2.35/1.05 fof(f67,plain,( 2.35/1.05 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X2] : (~incident_c(X2,X0) & incident_c(X2,X1))))), 2.35/1.05 inference(nnf_transformation,[],[f41])). 2.35/1.05 fof(f68,plain,( 2.35/1.05 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1))))), 2.35/1.05 inference(rectify,[],[f67])). 2.35/1.05 fof(f69,plain,( 2.35/1.05 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | (~incident_c(sK10(X0,X1),X0) & incident_c(sK10(X0,X1),X1))))), 2.35/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1))],[f68])). 2.35/1.05 fof(f71,plain,( 2.35/1.05 ! [X0,X1,X2,X3] : (((part_of(sK13(X0,X1,X2,X3),X0) & end_point(X3,sK13(X0,X1,X2,X3)) & inner_point(X2,sK13(X0,X1,X2,X3)) & end_point(X1,sK13(X0,X1,X2,X3))) & X3 != X1) | ~between_c(X0,X1,X2,X3))), 2.35/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f43])). 2.35/1.05 fof(f72,plain,( 2.35/1.05 (~incident_c(sK16,sK14) | ~incident_c(sK17,sK14) | sK15 = sK17 | sK16 = sK17 | sK15 = sK16 | ~incident_c(sK15,sK14)) & between_c(sK14,sK15,sK16,sK17)), 2.35/1.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X3,sK17)],[f44])). 2.35/1.05 fof(f93,plain,( 2.35/1.05 ( ! [X0,X1] : (~inner_point(X0,X1) | incident_c(X0,X1)) )), 2.35/1.05 inference(cnf_transformation,[],[f57])). 2.35/1.05 fof(f94,plain,( 2.35/1.05 ( ! [X0,X1] : (~end_point(X0,X1) | ~inner_point(X0,X1)) )), 2.35/1.05 inference(cnf_transformation,[],[f57])). 2.35/1.05 fof(f107,plain,( 2.35/1.05 ( ! [X0,X1] : (~end_point(X0,X1) | incident_c(X0,X1)) )), 2.35/1.05 inference(cnf_transformation,[],[f66])). 2.35/1.05 fof(f111,plain,( 2.35/1.05 ( ! [X2,X0,X1] : (~part_of(X1,X0) | ~incident_c(X2,X1) | incident_c(X2,X0)) )), 2.35/1.05 inference(cnf_transformation,[],[f69])). 2.35/1.05 fof(f114,plain,( 2.35/1.05 ( ! [X2,X3,X0,X1] : (X1 != X3 | ~between_c(X0,X1,X2,X3)) )), 2.35/1.05 inference(cnf_transformation,[],[f71])). 2.35/1.05 fof(f115,plain,( 2.35/1.05 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X2,X3) | end_point(X1,sK13(X0,X1,X2,X3))) )), 2.35/1.05 inference(cnf_transformation,[],[f71])). 2.35/1.05 fof(f116,plain,( 2.35/1.05 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X2,X3) | inner_point(X2,sK13(X0,X1,X2,X3))) )), 2.35/1.05 inference(cnf_transformation,[],[f71])). 2.35/1.05 fof(f117,plain,( 2.35/1.05 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X2,X3) | end_point(X3,sK13(X0,X1,X2,X3))) )), 2.35/1.05 inference(cnf_transformation,[],[f71])). 2.35/1.05 fof(f118,plain,( 2.35/1.05 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X2,X3) | part_of(sK13(X0,X1,X2,X3),X0)) )), 2.35/1.05 inference(cnf_transformation,[],[f71])). 2.35/1.05 fof(f119,plain,( 2.35/1.05 between_c(sK14,sK15,sK16,sK17)), 2.35/1.05 inference(cnf_transformation,[],[f72])). 2.35/1.05 fof(f120,plain,( 2.35/1.05 ~incident_c(sK16,sK14) | ~incident_c(sK17,sK14) | sK15 = sK17 | sK16 = sK17 | sK15 = sK16 | ~incident_c(sK15,sK14)), 2.35/1.05 inference(cnf_transformation,[],[f72])). 2.35/1.05 fof(f125,plain,( 2.35/1.05 ( ! [X2,X3,X0] : (~between_c(X0,X3,X2,X3)) )), 2.35/1.05 inference(equality_resolution,[],[f114])). 2.35/1.05 fof(f127,definition,( 2.35/1.05 spl18_1 <=> incident_c(sK15,sK14)), 2.35/1.05 introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition])). 2.35/1.05 fof(f129,plain,( 2.35/1.05 ~incident_c(sK15,sK14) | spl18_1), 2.35/1.05 inference(avatar_component_clause,[],[f127])). 2.35/1.05 fof(f131,definition,( 2.35/1.05 spl18_2 <=> sK15 = sK16), 2.35/1.05 introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition])). 2.35/1.06 fof(f133,plain,( 2.35/1.06 sK15 = sK16 | ~spl18_2), 2.35/1.06 inference(avatar_component_clause,[],[f131])). 2.35/1.06 fof(f135,definition,( 2.35/1.06 spl18_3 <=> sK16 = sK17), 2.35/1.06 introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition])). 2.35/1.06 fof(f137,plain,( 2.35/1.06 sK16 = sK17 | ~spl18_3), 2.35/1.06 inference(avatar_component_clause,[],[f135])). 2.35/1.06 fof(f139,definition,( 2.35/1.06 spl18_4 <=> sK15 = sK17), 2.35/1.06 introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition])). 2.35/1.06 fof(f141,plain,( 2.35/1.06 sK15 = sK17 | ~spl18_4), 2.35/1.06 inference(avatar_component_clause,[],[f139])). 2.35/1.06 fof(f143,definition,( 2.35/1.06 spl18_5 <=> incident_c(sK17,sK14)), 2.35/1.06 introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition])). 2.35/1.06 fof(f145,plain,( 2.35/1.06 ~incident_c(sK17,sK14) | spl18_5), 2.35/1.06 inference(avatar_component_clause,[],[f143])). 2.35/1.06 fof(f147,definition,( 2.35/1.06 spl18_6 <=> incident_c(sK16,sK14)), 2.35/1.06 introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition])). 2.35/1.06 fof(f149,plain,( 2.35/1.06 ~incident_c(sK16,sK14) | spl18_6), 2.35/1.06 inference(avatar_component_clause,[],[f147])). 2.35/1.06 fof(f150,plain,( 2.35/1.06 ~spl18_1 | spl18_2 | spl18_3 | spl18_4 | ~spl18_5 | ~spl18_6), 2.35/1.06 inference(avatar_split_clause,[],[f120,f147,f143,f139,f135,f131,f127])). 2.35/1.06 fof(f170,plain,( 2.35/1.06 end_point(sK15,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f115,f119])). 2.35/1.06 fof(f175,plain,( 2.35/1.06 inner_point(sK16,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f116,f119])). 2.35/1.06 fof(f177,plain,( 2.35/1.06 incident_c(sK15,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f170,f107])). 2.35/1.06 fof(f179,plain,( 2.35/1.06 end_point(sK17,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f117,f119])). 2.35/1.06 fof(f182,plain,( 2.35/1.06 incident_c(sK16,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f175,f93])). 2.35/1.06 fof(f183,plain,( 2.35/1.06 part_of(sK13(sK14,sK15,sK16,sK17),sK14)), 2.35/1.06 inference(resolution,[],[f118,f119])). 2.35/1.06 fof(f185,plain,( 2.35/1.06 incident_c(sK17,sK13(sK14,sK15,sK16,sK17))), 2.35/1.06 inference(resolution,[],[f179,f107])). 2.35/1.06 fof(f187,plain,( 2.35/1.06 ( ! [X0] : (incident_c(X0,sK14) | ~incident_c(X0,sK13(sK14,sK15,sK16,sK17))) )), 2.35/1.06 inference(resolution,[],[f183,f111])). 2.35/1.06 fof(f222,plain,( 2.35/1.06 ~incident_c(sK15,sK13(sK14,sK15,sK16,sK17)) | spl18_1), 2.35/1.06 inference(resolution,[],[f187,f129])). 2.35/1.06 fof(f223,plain,( 2.35/1.06 $false | spl18_1), 2.35/1.06 inference(forward_subsumption_resolution,[],[f222,f177])). 2.35/1.06 fof(f224,plain,( 2.35/1.06 spl18_1), 2.35/1.06 inference(avatar_contradiction_clause,[],[f223])). 2.35/1.06 fof(f225,plain,( 2.35/1.06 ~incident_c(sK17,sK13(sK14,sK15,sK16,sK17)) | spl18_5), 2.35/1.06 inference(resolution,[],[f145,f187])). 2.35/1.06 fof(f227,plain,( 2.35/1.06 $false | spl18_5), 2.35/1.06 inference(forward_subsumption_resolution,[],[f225,f185])). 2.35/1.06 fof(f228,plain,( 2.35/1.06 spl18_5), 2.35/1.06 inference(avatar_contradiction_clause,[],[f227])). 2.35/1.06 fof(f229,plain,( 2.35/1.06 ~incident_c(sK16,sK13(sK14,sK15,sK16,sK17)) | spl18_6), 2.35/1.06 inference(resolution,[],[f149,f187])). 2.35/1.06 fof(f231,plain,( 2.35/1.06 $false | spl18_6), 2.35/1.06 inference(forward_subsumption_resolution,[],[f229,f182])). 2.35/1.06 fof(f232,plain,( 2.35/1.06 spl18_6), 2.35/1.06 inference(avatar_contradiction_clause,[],[f231])). 2.35/1.06 fof(f233,plain,( 2.35/1.06 between_c(sK14,sK15,sK16,sK15) | ~spl18_4), 2.35/1.06 inference(superposition,[],[f119,f141])). 2.35/1.06 fof(f245,plain,( 2.35/1.06 $false | ~spl18_4), 2.35/1.06 inference(forward_subsumption_resolution,[],[f233,f125])). 2.35/1.06 fof(f246,plain,( 2.35/1.06 ~spl18_4), 2.35/1.06 inference(avatar_contradiction_clause,[],[f245])). 2.35/1.06 fof(f247,plain,( 2.35/1.06 between_c(sK14,sK15,sK16,sK16) | ~spl18_3), 2.35/1.06 inference(superposition,[],[f119,f137])). 2.35/1.06 fof(f263,plain,( 2.35/1.06 end_point(sK16,sK13(sK14,sK15,sK16,sK16)) | ~spl18_3), 2.35/1.06 inference(resolution,[],[f247,f117])). 2.35/1.06 fof(f264,plain,( 2.35/1.06 inner_point(sK16,sK13(sK14,sK15,sK16,sK16)) | ~spl18_3), 2.35/1.06 inference(resolution,[],[f247,f116])). 2.35/1.06 fof(f292,plain,( 2.35/1.06 ~inner_point(sK16,sK13(sK14,sK15,sK16,sK16)) | ~spl18_3), 2.35/1.06 inference(resolution,[],[f263,f94])). 2.35/1.06 fof(f332,plain,( 2.35/1.06 $false | ~spl18_3), 2.35/1.06 inference(forward_subsumption_resolution,[],[f292,f264])). 2.35/1.06 fof(f333,plain,( 2.35/1.06 ~spl18_3), 2.35/1.06 inference(avatar_contradiction_clause,[],[f332])). 2.35/1.06 fof(f334,plain,( 2.35/1.06 between_c(sK14,sK15,sK15,sK17) | ~spl18_2), 2.35/1.06 inference(superposition,[],[f119,f133])). 2.35/1.06 fof(f350,plain,( 2.35/1.06 inner_point(sK15,sK13(sK14,sK15,sK15,sK17)) | ~spl18_2), 2.35/1.06 inference(resolution,[],[f334,f116])). 2.35/1.06 fof(f351,plain,( 2.35/1.06 end_point(sK15,sK13(sK14,sK15,sK15,sK17)) | ~spl18_2), 2.35/1.06 inference(resolution,[],[f334,f115])). 2.35/1.06 fof(f376,plain,( 2.35/1.06 ~inner_point(sK15,sK13(sK14,sK15,sK15,sK17)) | ~spl18_2), 2.35/1.06 inference(resolution,[],[f351,f94])). 2.35/1.06 fof(f377,plain,( 2.35/1.06 $false | ~spl18_2), 2.35/1.06 inference(forward_subsumption_resolution,[],[f376,f350])). 2.35/1.06 fof(f378,plain,( 2.35/1.06 ~spl18_2), 2.35/1.06 inference(avatar_contradiction_clause,[],[f377])). 2.35/1.06 cnf(s1, plain, ~spl18_1 | spl18_2 | spl18_3 | spl18_4 | ~spl18_5 | ~spl18_6, inference(sat_conversion,[],[f150])). 2.35/1.06 cnf(s3, plain, spl18_1, inference(sat_conversion,[],[f224])). 2.35/1.06 cnf(s4, plain, spl18_5, inference(sat_conversion,[],[f228])). 2.35/1.06 cnf(s5, plain, spl18_6, inference(sat_conversion,[],[f232])). 2.35/1.06 cnf(s6, plain, ~spl18_4, inference(sat_conversion,[],[f246])). 2.35/1.06 cnf(s9, plain, ~spl18_3, inference(sat_conversion,[],[f333])). 2.35/1.06 cnf(s12, plain, ~spl18_2, inference(sat_conversion,[],[f378])). 2.35/1.06 cnf(s13, plain, $false, inference(rat,[],[s1,s5,s4,s6,s9,s12,s3])). 2.35/1.06 fof(f379,plain,( 2.35/1.06 $false), 2.35/1.06 inference(avatar_sat_refutation,[],[s13])). 2.35/1.06 % SZS output end Proof for theBenchmark 2.35/1.06 % (2840073)------------------------------ 2.35/1.06 % (2840073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 2.35/1.06 % (2840073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.35/1.06 % (2840073)CaDiCaL version: 2.1.3 2.35/1.06 % (2840073)Termination reason: Refutation 2.35/1.06 % (2840073)Time elapsed: 0.007 s 2.35/1.06 % (2840073)Peak memory usage: 90 MB 2.35/1.06 % (2840073)Instructions burned: 14 (million) 2.35/1.06 % (2840073)------------------------------ 2.35/1.06 % (2840073)------------------------------ 2.35/1.06 % (2840063)Success in time 0.29 s 2.35/1.06 % Vampire exiting 2.35/1.06 EOF