0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.31 % Computer : n031.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 07:19:47 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.32 ipcrm: permission denied for id (739573760) 0.16/0.33 ipcrm: permission denied for id (739770370) 0.16/0.33 ipcrm: permission denied for id (739803139) 0.16/0.33 ipcrm: permission denied for id (739835908) 0.16/0.33 ipcrm: permission denied for id (739868678) 0.16/0.33 ipcrm: permission denied for id (739901447) 0.16/0.33 ipcrm: permission denied for id (740163597) 0.16/0.34 ipcrm: permission denied for id (740261903) 0.16/0.34 ipcrm: permission denied for id (740392980) 0.16/0.34 ipcrm: permission denied for id (740425749) 0.16/0.34 ipcrm: permission denied for id (740491286) 0.16/0.34 ipcrm: permission denied for id (740786200) 0.16/0.34 ipcrm: permission denied for id (740720665) 0.16/0.34 ipcrm: permission denied for id (740884506) 0.16/0.35 ipcrm: permission denied for id (740950045) 0.16/0.35 ipcrm: permission denied for id (741081121) 0.16/0.35 ipcrm: permission denied for id (741113890) 0.16/0.35 ipcrm: permission denied for id (741179427) 0.16/0.35 ipcrm: permission denied for id (741212197) 0.16/0.36 ipcrm: permission denied for id (741769257) 0.16/0.36 ipcrm: permission denied for id (741834795) 0.16/0.36 ipcrm: permission denied for id (741867564) 0.16/0.36 ipcrm: permission denied for id (741900333) 0.16/0.36 ipcrm: permission denied for id (742457394) 0.16/0.37 ipcrm: permission denied for id (742522932) 0.16/0.37 ipcrm: permission denied for id (742555701) 0.16/0.37 ipcrm: permission denied for id (742588470) 0.16/0.37 ipcrm: permission denied for id (742621239) 0.16/0.37 ipcrm: permission denied for id (742654008) 0.16/0.37 ipcrm: permission denied for id (742850619) 0.16/0.37 ipcrm: permission denied for id (742948926) 0.16/0.37 ipcrm: permission denied for id (742981695) 0.16/0.38 ipcrm: permission denied for id (743014465) 0.16/0.38 ipcrm: permission denied for id (743047234) 0.16/0.38 ipcrm: permission denied for id (743178307) 0.16/0.38 ipcrm: permission denied for id (743211076) 0.16/0.38 ipcrm: permission denied for id (743243846) 0.16/0.38 ipcrm: permission denied for id (743276615) 0.16/0.38 ipcrm: permission denied for id (743342152) 0.16/0.38 ipcrm: permission denied for id (743440457) 0.16/0.38 ipcrm: permission denied for id (743473227) 0.16/0.39 ipcrm: permission denied for id (743538764) 0.16/0.39 ipcrm: permission denied for id (743571533) 0.16/0.39 ipcrm: permission denied for id (743669839) 0.16/0.39 ipcrm: permission denied for id (743735378) 0.16/0.40 ipcrm: permission denied for id (744423516) 0.16/0.40 ipcrm: permission denied for id (744489054) 0.16/0.40 ipcrm: permission denied for id (744521823) 0.16/0.40 ipcrm: permission denied for id (744685666) 0.16/0.40 ipcrm: permission denied for id (744718435) 0.16/0.41 ipcrm: permission denied for id (744816742) 0.16/0.41 ipcrm: permission denied for id (744915047) 0.16/0.41 ipcrm: permission denied for id (744980585) 0.16/0.41 ipcrm: permission denied for id (745275503) 0.16/0.42 ipcrm: permission denied for id (745537650) 0.16/0.42 ipcrm: permission denied for id (745734260) 0.16/0.49 % ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 3.28/3.48 % Time limit reached! 3.28/3.48 % ------------------------------ 3.28/3.48 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.28/3.48 % Termination reason: Time limit 3.28/3.48 % Termination phase: Saturation 3.28/3.48 3.28/3.48 % Memory used [KB]: 47078 3.28/3.48 % Time elapsed: 3.0000 s 3.28/3.48 % ------------------------------ 3.28/3.48 % ------------------------------ 3.35/3.55 % ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 6.40/6.55 % Time limit reached! 6.40/6.55 % ------------------------------ 6.40/6.55 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.40/6.55 % Termination reason: Time limit 6.40/6.55 % Termination phase: Saturation 6.40/6.55 6.40/6.55 % Memory used [KB]: 78037 6.40/6.55 % Time elapsed: 3.0000 s 6.40/6.55 % ------------------------------ 6.40/6.55 % ------------------------------ 6.45/6.61 % dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 6.45/6.67 % Refutation not found, incomplete strategy 6.45/6.67 % ------------------------------ 6.45/6.67 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.45/6.67 % Termination reason: Refutation not found, incomplete strategy 6.45/6.67 6.45/6.67 % Memory used [KB]: 639 6.45/6.67 % Time elapsed: 0.060 s 6.45/6.67 % ------------------------------ 6.45/6.67 % ------------------------------ 6.45/6.74 % lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 6.57/6.84 % Refutation found. Thanks to Tanya! 6.57/6.84 % SZS status Theorem for theBenchmark 6.57/6.84 % SZS output start Proof for theBenchmark 6.57/6.84 tff(type_def_5, type, set: $tType). 6.57/6.84 tff(type_def_6, type, element: $tType). 6.57/6.84 tff(func_def_0, type, empty_set: set). 6.57/6.84 tff(func_def_1, type, singleton: element > set). 6.57/6.84 tff(func_def_2, type, intersection: (set * set) > set). 6.57/6.84 tff(func_def_3, type, union: (set * set) > set). 6.57/6.84 tff(func_def_4, type, difference: (set * set) > set). 6.57/6.84 tff(func_def_5, type, complement: set > set). 6.57/6.84 tff(func_def_6, type, cardinality: set > $int). 6.57/6.84 tff(func_def_11, type, sK0: element). 6.57/6.84 tff(func_def_12, type, sK1: set). 6.57/6.84 tff(func_def_13, type, sK2: $int). 6.57/6.84 tff(func_def_14, type, sK3: set > element). 6.57/6.84 tff(pred_def_1, type, member: (element * set) > $o). 6.57/6.84 tff(pred_def_2, type, subset: (set * set) > $o). 6.57/6.84 tff(f1540,plain,( 6.57/6.84 $false), 6.57/6.84 inference(avatar_sat_refutation,[],[f76,f83,f90,f452,f499,f526,f556,f563,f587,f594,f646,f654,f662,f737,f738,f838,f1334,f1371,f1487,f1516,f1530,f1539])). 6.57/6.84 tff(f1539,plain,( 6.57/6.84 spl4_42 | ~spl4_4 | ~spl4_36), 6.57/6.84 inference(avatar_split_clause,[],[f1532,f1485,f88,f1537])). 6.57/6.84 tff(f1537,plain,( 6.57/6.84 spl4_42 <=> cardinality(union(singleton(sK0),sK1)) = $sum(sK2,cardinality(singleton(sK0)))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_42])])). 6.57/6.84 tff(f88,plain,( 6.57/6.84 spl4_4 <=> cardinality(sK1) = sK2), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])). 6.57/6.84 tff(f1485,plain,( 6.57/6.84 spl4_36 <=> empty_set = intersection(singleton(sK0),sK1)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_36])])). 6.57/6.84 tff(f1532,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = $sum(sK2,cardinality(singleton(sK0))) | (~spl4_4 | ~spl4_36)), 6.57/6.84 inference(forward_demodulation,[],[f1531,f15])). 6.57/6.84 tff(f15,plain,( 6.57/6.84 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 6.57/6.84 introduced(theory_axiom,[])). 6.57/6.84 tff(f1531,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = $sum(cardinality(singleton(sK0)),sK2) | (~spl4_4 | ~spl4_36)), 6.57/6.84 inference(forward_demodulation,[],[f1513,f89])). 6.57/6.84 tff(f89,plain,( 6.57/6.84 cardinality(sK1) = sK2 | ~spl4_4), 6.57/6.84 inference(avatar_component_clause,[],[f88])). 6.57/6.84 tff(f1513,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = $sum(cardinality(singleton(sK0)),cardinality(sK1)) | ~spl4_36), 6.57/6.84 inference(trivial_inequality_removal,[],[f1504])). 6.57/6.84 tff(f1504,plain,( 6.57/6.84 empty_set != empty_set | cardinality(union(singleton(sK0),sK1)) = $sum(cardinality(singleton(sK0)),cardinality(sK1)) | ~spl4_36), 6.57/6.84 inference(superposition,[],[f57,f1486])). 6.57/6.84 tff(f1486,plain,( 6.57/6.84 empty_set = intersection(singleton(sK0),sK1) | ~spl4_36), 6.57/6.84 inference(avatar_component_clause,[],[f1485])). 6.57/6.84 tff(f57,plain,( 6.57/6.84 ( ! [X0:set,X1:set] : (empty_set != intersection(X0,X1) | cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1))) )), 6.57/6.84 inference(cnf_transformation,[],[f39])). 6.57/6.84 tff(f39,plain,( 6.57/6.84 ! [X0 : set,X1 : set] : ((cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) | empty_set != intersection(X0,X1)) & (empty_set = intersection(X0,X1) | cardinality(union(X0,X1)) != $sum(cardinality(X0),cardinality(X1))))), 6.57/6.84 inference(nnf_transformation,[],[f29])). 6.57/6.84 tff(f29,plain,( 6.57/6.84 ! [X0 : set,X1 : set] : (cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) <=> empty_set = intersection(X0,X1))), 6.57/6.84 inference(rectify,[],[f5])). 6.57/6.84 tff(f5,axiom,( 6.57/6.84 ! [X1 : set,X2 : set] : (cardinality(union(X1,X2)) = $sum(cardinality(X1),cardinality(X2)) <=> empty_set = intersection(X1,X2))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_union)). 6.57/6.84 tff(f1530,plain,( 6.57/6.84 ~spl4_39 | spl4_40 | ~spl4_4 | ~spl4_36), 6.57/6.84 inference(avatar_split_clause,[],[f1517,f1485,f88,f1528,f1522])). 6.57/6.84 tff(f1522,plain,( 6.57/6.84 spl4_39 <=> empty_set != singleton(sK0)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_39])])). 6.57/6.84 tff(f1528,plain,( 6.57/6.84 spl4_40 <=> cardinality(union(singleton(sK0),sK1)) = sK2), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_40])])). 6.57/6.84 tff(f1517,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = sK2 | empty_set != singleton(sK0) | (~spl4_4 | ~spl4_36)), 6.57/6.84 inference(forward_demodulation,[],[f1503,f89])). 6.57/6.84 tff(f1503,plain,( 6.57/6.84 empty_set != singleton(sK0) | cardinality(sK1) = cardinality(union(singleton(sK0),sK1)) | ~spl4_36), 6.57/6.84 inference(superposition,[],[f59,f1486])). 6.57/6.84 tff(f59,plain,( 6.57/6.84 ( ! [X0:element,X1:set] : (singleton(X0) != intersection(singleton(X0),X1) | cardinality(X1) = cardinality(union(singleton(X0),X1))) )), 6.57/6.84 inference(cnf_transformation,[],[f40])). 6.57/6.84 tff(f40,plain,( 6.57/6.84 ! [X0 : element,X1 : set] : ((cardinality(X1) = cardinality(union(singleton(X0),X1)) | singleton(X0) != intersection(singleton(X0),X1)) & (singleton(X0) = intersection(singleton(X0),X1) | cardinality(X1) != cardinality(union(singleton(X0),X1))))), 6.57/6.84 inference(nnf_transformation,[],[f30])). 6.57/6.84 tff(f30,plain,( 6.57/6.84 ! [X0 : element,X1 : set] : (cardinality(X1) = cardinality(union(singleton(X0),X1)) <=> singleton(X0) = intersection(singleton(X0),X1))), 6.57/6.84 inference(rectify,[],[f11])). 6.57/6.84 tff(f11,axiom,( 6.57/6.84 ! [X0 : element,X3 : set] : (cardinality(X3) = cardinality(union(singleton(X0),X3)) <=> singleton(X0) = intersection(singleton(X0),X3))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_1)). 6.57/6.84 tff(f1516,plain,( 6.57/6.84 spl4_0 | ~spl4_4 | ~spl4_36), 6.57/6.84 inference(avatar_split_clause,[],[f1515,f1485,f88,f71])). 6.57/6.84 tff(f71,plain,( 6.57/6.84 spl4_0 <=> cardinality(union(singleton(sK0),sK1)) = $sum(1,sK2)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_0])])). 6.57/6.84 tff(f1515,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = $sum(1,sK2) | (~spl4_4 | ~spl4_36)), 6.57/6.84 inference(forward_demodulation,[],[f1514,f89])). 6.57/6.84 tff(f1514,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) = $sum(1,cardinality(sK1)) | ~spl4_36), 6.57/6.84 inference(trivial_inequality_removal,[],[f1502])). 6.57/6.84 tff(f1502,plain,( 6.57/6.84 empty_set != empty_set | cardinality(union(singleton(sK0),sK1)) = $sum(1,cardinality(sK1)) | ~spl4_36), 6.57/6.84 inference(superposition,[],[f91,f1486])). 6.57/6.84 tff(f91,plain,( 6.57/6.84 ( ! [X0:element,X1:set] : (empty_set != intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) = $sum(1,cardinality(X1))) )), 6.57/6.84 inference(forward_demodulation,[],[f52,f15])). 6.57/6.84 tff(f52,plain,( 6.57/6.84 ( ! [X0:element,X1:set] : (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)) )), 6.57/6.84 inference(cnf_transformation,[],[f36])). 6.57/6.84 tff(f36,plain,( 6.57/6.84 ! [X0 : element,X1 : set] : ((cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)) & (empty_set = intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1)))), 6.57/6.84 inference(nnf_transformation,[],[f28])). 6.57/6.84 tff(f28,plain,( 6.57/6.84 ! [X0 : element,X1 : set] : (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) <=> empty_set = intersection(singleton(X0),X1))), 6.57/6.84 inference(rectify,[],[f2])). 6.57/6.84 tff(f2,axiom,( 6.57/6.84 ! [X0 : element,X3 : set] : (cardinality(union(singleton(X0),X3)) = $sum(cardinality(X3),1) <=> empty_set = intersection(singleton(X0),X3))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_2)). 6.57/6.84 tff(f1487,plain,( 6.57/6.84 spl4_36 | spl4_3), 6.57/6.84 inference(avatar_split_clause,[],[f1464,f81,f1485])). 6.57/6.84 tff(f81,plain,( 6.57/6.84 spl4_3 <=> ~member(sK0,sK1)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 6.57/6.84 tff(f1464,plain,( 6.57/6.84 empty_set = intersection(singleton(sK0),sK1) | ~spl4_3), 6.57/6.84 inference(resolution,[],[f1457,f82])). 6.57/6.84 tff(f82,plain,( 6.57/6.84 ~member(sK0,sK1) | ~spl4_3), 6.57/6.84 inference(avatar_component_clause,[],[f81])). 6.57/6.84 tff(f1457,plain,( 6.57/6.84 ( ! [X14:element,X15:set] : (member(X14,X15) | empty_set = intersection(singleton(X14),X15)) )), 6.57/6.84 inference(duplicate_literal_removal,[],[f1422])). 6.57/6.84 tff(f1422,plain,( 6.57/6.84 ( ! [X14:element,X15:set] : (member(X14,X15) | empty_set = intersection(singleton(X14),X15) | empty_set = intersection(singleton(X14),X15)) )), 6.57/6.84 inference(superposition,[],[f114,f193])). 6.57/6.84 tff(f193,plain,( 6.57/6.84 ( ! [X12:element,X13:set] : (sK3(intersection(singleton(X12),X13)) = X12 | empty_set = intersection(singleton(X12),X13)) )), 6.57/6.84 inference(resolution,[],[f115,f61])). 6.57/6.84 tff(f61,plain,( 6.57/6.84 ( ! [X0:element,X1:element] : (~member(X0,singleton(X1)) | X0 = X1) )), 6.57/6.84 inference(cnf_transformation,[],[f41])). 6.57/6.84 tff(f41,plain,( 6.57/6.84 ! [X0 : element,X1 : element] : ((X0 = X1 | ~member(X0,singleton(X1))) & (member(X0,singleton(X1)) | X0 != X1))), 6.57/6.84 inference(nnf_transformation,[],[f3])). 6.57/6.84 tff(f3,axiom,( 6.57/6.84 ! [X0 : element,X1 : element] : (X0 = X1 <=> member(X0,singleton(X1)))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton)). 6.57/6.84 tff(f115,plain,( 6.57/6.84 ( ! [X0:set,X1:set] : (member(sK3(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )), 6.57/6.84 inference(resolution,[],[f64,f66])). 6.57/6.84 tff(f66,plain,( 6.57/6.84 ( ! [X0:set] : (member(sK3(X0),X0) | empty_set = X0) )), 6.57/6.84 inference(cnf_transformation,[],[f47])). 6.57/6.84 tff(f47,plain,( 6.57/6.84 ! [X0 : set] : ((empty_set = X0 | member(sK3(X0),X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 6.57/6.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f45,f46])). 6.57/6.84 tff(f46,plain,( 6.57/6.84 ! [X0 : set] : (? [X1 : element] : member(X1,X0) => member(sK3(X0),X0))), 6.57/6.84 introduced(choice_axiom,[])). 6.57/6.84 tff(f45,plain,( 6.57/6.84 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 6.57/6.84 inference(rectify,[],[f44])). 6.57/6.84 tff(f44,plain,( 6.57/6.84 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X1 : element] : ~member(X1,X0) | empty_set != X0))), 6.57/6.84 inference(nnf_transformation,[],[f31])). 6.57/6.84 tff(f31,plain,( 6.57/6.84 ! [X0 : set] : (empty_set = X0 <=> ! [X1 : element] : ~member(X1,X0))), 6.57/6.84 inference(rectify,[],[f4])). 6.57/6.84 tff(f4,axiom,( 6.57/6.84 ! [X3 : set] : (empty_set = X3 <=> ! [X0 : element] : ~member(X0,X3))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set)). 6.57/6.84 tff(f64,plain,( 6.57/6.84 ( ! [X2:set,X0:element,X1:set] : (~member(X0,intersection(X1,X2)) | member(X0,X1)) )), 6.57/6.84 inference(cnf_transformation,[],[f43])). 6.57/6.84 tff(f43,plain,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : (((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | ~member(X0,X1) | ~member(X0,X2)))), 6.57/6.84 inference(flattening,[],[f42])). 6.57/6.84 tff(f42,plain,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : (((member(X0,X1) & member(X0,X2)) | ~member(X0,intersection(X1,X2))) & (member(X0,intersection(X1,X2)) | (~member(X0,X1) | ~member(X0,X2))))), 6.57/6.84 inference(nnf_transformation,[],[f1])). 6.57/6.84 tff(f1,axiom,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,X1) & member(X0,X2)) <=> member(X0,intersection(X1,X2)))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection)). 6.57/6.84 tff(f114,plain,( 6.57/6.84 ( ! [X0:set,X1:set] : (member(sK3(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )), 6.57/6.84 inference(resolution,[],[f63,f66])). 6.57/6.84 tff(f63,plain,( 6.57/6.84 ( ! [X2:set,X0:element,X1:set] : (~member(X0,intersection(X1,X2)) | member(X0,X2)) )), 6.57/6.84 inference(cnf_transformation,[],[f43])). 6.57/6.84 tff(f1371,plain,( 6.57/6.84 spl4_34 | ~spl4_4 | ~spl4_32), 6.57/6.84 inference(avatar_split_clause,[],[f1364,f1332,f88,f1369])). 6.57/6.84 tff(f1369,plain,( 6.57/6.84 spl4_34 <=> cardinality(union(sK1,singleton(sK0))) = $sum(sK2,cardinality(singleton(sK0)))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_34])])). 6.57/6.84 tff(f1332,plain,( 6.57/6.84 spl4_32 <=> empty_set = intersection(sK1,singleton(sK0))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_32])])). 6.57/6.84 tff(f1364,plain,( 6.57/6.84 cardinality(union(sK1,singleton(sK0))) = $sum(sK2,cardinality(singleton(sK0))) | (~spl4_4 | ~spl4_32)), 6.57/6.84 inference(forward_demodulation,[],[f1363,f89])). 6.57/6.84 tff(f1363,plain,( 6.57/6.84 cardinality(union(sK1,singleton(sK0))) = $sum(cardinality(sK1),cardinality(singleton(sK0))) | ~spl4_32), 6.57/6.84 inference(trivial_inequality_removal,[],[f1355])). 6.57/6.84 tff(f1355,plain,( 6.57/6.84 empty_set != empty_set | cardinality(union(sK1,singleton(sK0))) = $sum(cardinality(sK1),cardinality(singleton(sK0))) | ~spl4_32), 6.57/6.84 inference(superposition,[],[f57,f1333])). 6.57/6.84 tff(f1333,plain,( 6.57/6.84 empty_set = intersection(sK1,singleton(sK0)) | ~spl4_32), 6.57/6.84 inference(avatar_component_clause,[],[f1332])). 6.57/6.84 tff(f1334,plain,( 6.57/6.84 spl4_32 | spl4_3), 6.57/6.84 inference(avatar_split_clause,[],[f1311,f81,f1332])). 6.57/6.84 tff(f1311,plain,( 6.57/6.84 empty_set = intersection(sK1,singleton(sK0)) | ~spl4_3), 6.57/6.84 inference(resolution,[],[f1308,f82])). 6.57/6.84 tff(f1308,plain,( 6.57/6.84 ( ! [X6:set,X7:element] : (member(X7,X6) | empty_set = intersection(X6,singleton(X7))) )), 6.57/6.84 inference(duplicate_literal_removal,[],[f1273])). 6.57/6.84 tff(f1273,plain,( 6.57/6.84 ( ! [X6:set,X7:element] : (member(X7,X6) | empty_set = intersection(X6,singleton(X7)) | empty_set = intersection(X6,singleton(X7))) )), 6.57/6.84 inference(superposition,[],[f115,f176])). 6.57/6.84 tff(f176,plain,( 6.57/6.84 ( ! [X12:set,X13:element] : (sK3(intersection(X12,singleton(X13))) = X13 | empty_set = intersection(X12,singleton(X13))) )), 6.57/6.84 inference(resolution,[],[f114,f61])). 6.57/6.84 tff(f838,plain,( 6.57/6.84 spl4_30), 6.57/6.84 inference(avatar_split_clause,[],[f826,f836])). 6.57/6.84 tff(f836,plain,( 6.57/6.84 spl4_30 <=> empty_set = union(empty_set,empty_set)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_30])])). 6.57/6.84 tff(f826,plain,( 6.57/6.84 empty_set = union(empty_set,empty_set)), 6.57/6.84 inference(resolution,[],[f281,f68])). 6.57/6.84 tff(f68,plain,( 6.57/6.84 ( ! [X2:element] : (~member(X2,empty_set)) )), 6.57/6.84 inference(equality_resolution,[],[f65])). 6.57/6.84 tff(f65,plain,( 6.57/6.84 ( ! [X2:element,X0:set] : (~member(X2,X0) | empty_set != X0) )), 6.57/6.84 inference(cnf_transformation,[],[f47])). 6.57/6.84 tff(f281,plain,( 6.57/6.84 ( ! [X19:set] : (member(sK3(union(empty_set,X19)),X19) | empty_set = union(empty_set,X19)) )), 6.57/6.84 inference(resolution,[],[f103,f68])). 6.57/6.84 tff(f103,plain,( 6.57/6.84 ( ! [X2:set,X3:set] : (member(sK3(union(X2,X3)),X2) | member(sK3(union(X2,X3)),X3) | empty_set = union(X2,X3)) )), 6.57/6.84 inference(resolution,[],[f55,f66])). 6.57/6.84 tff(f55,plain,( 6.57/6.84 ( ! [X2:set,X0:element,X1:set] : (~member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2)) )), 6.57/6.84 inference(cnf_transformation,[],[f38])). 6.57/6.84 tff(f38,plain,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,X2) | member(X0,X1) | ~member(X0,union(X1,X2))) & (member(X0,union(X1,X2)) | (~member(X0,X2) & ~member(X0,X1))))), 6.57/6.84 inference(flattening,[],[f37])). 6.57/6.84 tff(f37,plain,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : (((member(X0,X2) | member(X0,X1)) | ~member(X0,union(X1,X2))) & (member(X0,union(X1,X2)) | (~member(X0,X2) & ~member(X0,X1))))), 6.57/6.84 inference(nnf_transformation,[],[f8])). 6.57/6.84 tff(f8,axiom,( 6.57/6.84 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,X2) | member(X0,X1)) <=> member(X0,union(X1,X2)))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union)). 6.57/6.84 tff(f738,plain,( 6.57/6.84 spl4_28 | ~spl4_14), 6.57/6.84 inference(avatar_split_clause,[],[f715,f554,f735])). 6.57/6.84 tff(f735,plain,( 6.57/6.84 spl4_28 <=> cardinality(union(empty_set,union(empty_set,sK1))) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_28])])). 6.57/6.84 tff(f554,plain,( 6.57/6.84 spl4_14 <=> cardinality(union(empty_set,sK1)) = $sum(sK2,cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_14])])). 6.57/6.84 tff(f715,plain,( 6.57/6.84 cardinality(union(empty_set,union(empty_set,sK1))) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set)) | ~spl4_14), 6.57/6.84 inference(superposition,[],[f539,f555])). 6.57/6.84 tff(f555,plain,( 6.57/6.84 cardinality(union(empty_set,sK1)) = $sum(sK2,cardinality(empty_set)) | ~spl4_14), 6.57/6.84 inference(avatar_component_clause,[],[f554])). 6.57/6.84 tff(f539,plain,( 6.57/6.84 ( ! [X1:set] : (cardinality(union(empty_set,X1)) = $sum(cardinality(X1),cardinality(empty_set))) )), 6.57/6.84 inference(superposition,[],[f203,f15])). 6.57/6.84 tff(f203,plain,( 6.57/6.84 ( ! [X4:set] : (cardinality(union(empty_set,X4)) = $sum(cardinality(empty_set),cardinality(X4))) )), 6.57/6.84 inference(trivial_inequality_removal,[],[f201])). 6.57/6.84 tff(f201,plain,( 6.57/6.84 ( ! [X4:set] : (empty_set != empty_set | cardinality(union(empty_set,X4)) = $sum(cardinality(empty_set),cardinality(X4))) )), 6.57/6.84 inference(superposition,[],[f57,f192])). 6.57/6.84 tff(f192,plain,( 6.57/6.84 ( ! [X11:set] : (empty_set = intersection(empty_set,X11)) )), 6.57/6.84 inference(resolution,[],[f115,f68])). 6.57/6.84 tff(f737,plain,( 6.57/6.84 spl4_28 | ~spl4_10 | ~spl4_26), 6.57/6.84 inference(avatar_split_clause,[],[f730,f660,f497,f735])). 6.57/6.84 tff(f497,plain,( 6.57/6.84 spl4_10 <=> cardinality(union(sK1,empty_set)) = $sum(sK2,cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_10])])). 6.57/6.84 tff(f660,plain,( 6.57/6.84 spl4_26 <=> cardinality(union(empty_set,union(empty_set,sK1))) = cardinality(union(empty_set,union(sK1,empty_set)))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_26])])). 6.57/6.84 tff(f730,plain,( 6.57/6.84 cardinality(union(empty_set,union(empty_set,sK1))) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set)) | (~spl4_10 | ~spl4_26)), 6.57/6.84 inference(forward_demodulation,[],[f713,f661])). 6.57/6.84 tff(f661,plain,( 6.57/6.84 cardinality(union(empty_set,union(empty_set,sK1))) = cardinality(union(empty_set,union(sK1,empty_set))) | ~spl4_26), 6.57/6.84 inference(avatar_component_clause,[],[f660])). 6.57/6.84 tff(f713,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set)) | ~spl4_10), 6.57/6.84 inference(superposition,[],[f539,f498])). 6.57/6.84 tff(f498,plain,( 6.57/6.84 cardinality(union(sK1,empty_set)) = $sum(sK2,cardinality(empty_set)) | ~spl4_10), 6.57/6.84 inference(avatar_component_clause,[],[f497])). 6.57/6.84 tff(f662,plain,( 6.57/6.84 spl4_26 | ~spl4_24), 6.57/6.84 inference(avatar_split_clause,[],[f655,f652,f660])). 6.57/6.84 tff(f652,plain,( 6.57/6.84 spl4_24 <=> cardinality(union(empty_set,union(sK1,empty_set))) = cardinality(union(union(empty_set,sK1),empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_24])])). 6.57/6.84 tff(f655,plain,( 6.57/6.84 cardinality(union(empty_set,union(empty_set,sK1))) = cardinality(union(empty_set,union(sK1,empty_set))) | ~spl4_24), 6.57/6.84 inference(forward_demodulation,[],[f653,f626])). 6.57/6.84 tff(f626,plain,( 6.57/6.84 ( ! [X1:set] : (cardinality(union(X1,empty_set)) = cardinality(union(empty_set,X1))) )), 6.57/6.84 inference(superposition,[],[f483,f203])). 6.57/6.84 tff(f483,plain,( 6.57/6.84 ( ! [X1:set] : (cardinality(union(X1,empty_set)) = $sum(cardinality(empty_set),cardinality(X1))) )), 6.57/6.84 inference(superposition,[],[f187,f15])). 6.57/6.84 tff(f187,plain,( 6.57/6.84 ( ! [X3:set] : (cardinality(union(X3,empty_set)) = $sum(cardinality(X3),cardinality(empty_set))) )), 6.57/6.84 inference(trivial_inequality_removal,[],[f182])). 6.57/6.84 tff(f182,plain,( 6.57/6.84 ( ! [X3:set] : (empty_set != empty_set | cardinality(union(X3,empty_set)) = $sum(cardinality(X3),cardinality(empty_set))) )), 6.57/6.84 inference(superposition,[],[f57,f175])). 6.57/6.84 tff(f175,plain,( 6.57/6.84 ( ! [X11:set] : (empty_set = intersection(X11,empty_set)) )), 6.57/6.84 inference(resolution,[],[f114,f68])). 6.57/6.84 tff(f653,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = cardinality(union(union(empty_set,sK1),empty_set)) | ~spl4_24), 6.57/6.84 inference(avatar_component_clause,[],[f652])). 6.57/6.84 tff(f654,plain,( 6.57/6.84 spl4_24 | ~spl4_14 | ~spl4_16), 6.57/6.84 inference(avatar_split_clause,[],[f647,f561,f554,f652])). 6.57/6.84 tff(f561,plain,( 6.57/6.84 spl4_16 <=> cardinality(union(empty_set,union(sK1,empty_set))) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set)))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_16])])). 6.57/6.84 tff(f647,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = cardinality(union(union(empty_set,sK1),empty_set)) | (~spl4_14 | ~spl4_16)), 6.57/6.84 inference(forward_demodulation,[],[f625,f562])). 6.57/6.84 tff(f562,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set))) | ~spl4_16), 6.57/6.84 inference(avatar_component_clause,[],[f561])). 6.57/6.84 tff(f625,plain,( 6.57/6.84 cardinality(union(union(empty_set,sK1),empty_set)) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set))) | ~spl4_14), 6.57/6.84 inference(superposition,[],[f483,f555])). 6.57/6.84 tff(f646,plain,( 6.57/6.84 spl4_22 | ~spl4_10 | ~spl4_16), 6.57/6.84 inference(avatar_split_clause,[],[f639,f561,f497,f644])). 6.57/6.84 tff(f644,plain,( 6.57/6.84 spl4_22 <=> cardinality(union(empty_set,union(sK1,empty_set))) = cardinality(union(union(sK1,empty_set),empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_22])])). 6.57/6.84 tff(f639,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = cardinality(union(union(sK1,empty_set),empty_set)) | (~spl4_10 | ~spl4_16)), 6.57/6.84 inference(forward_demodulation,[],[f624,f562])). 6.57/6.84 tff(f624,plain,( 6.57/6.84 cardinality(union(union(sK1,empty_set),empty_set)) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set))) | ~spl4_10), 6.57/6.84 inference(superposition,[],[f483,f498])). 6.57/6.84 tff(f594,plain,( 6.57/6.84 spl4_20 | ~spl4_14), 6.57/6.84 inference(avatar_split_clause,[],[f579,f554,f592])). 6.57/6.84 tff(f592,plain,( 6.57/6.84 spl4_20 <=> cardinality(union(empty_set,union(empty_set,sK1))) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set)))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_20])])). 6.57/6.84 tff(f579,plain,( 6.57/6.84 cardinality(union(empty_set,union(empty_set,sK1))) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set))) | ~spl4_14), 6.57/6.84 inference(superposition,[],[f203,f555])). 6.57/6.84 tff(f587,plain,( 6.57/6.84 spl4_18 | ~spl4_14), 6.57/6.84 inference(avatar_split_clause,[],[f578,f554,f585])). 6.57/6.84 tff(f585,plain,( 6.57/6.84 spl4_18 <=> cardinality(union(union(empty_set,sK1),empty_set)) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_18])])). 6.57/6.84 tff(f578,plain,( 6.57/6.84 cardinality(union(union(empty_set,sK1),empty_set)) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set)) | ~spl4_14), 6.57/6.84 inference(superposition,[],[f187,f555])). 6.57/6.84 tff(f563,plain,( 6.57/6.84 spl4_16 | ~spl4_10), 6.57/6.84 inference(avatar_split_clause,[],[f538,f497,f561])). 6.57/6.84 tff(f538,plain,( 6.57/6.84 cardinality(union(empty_set,union(sK1,empty_set))) = $sum(cardinality(empty_set),$sum(sK2,cardinality(empty_set))) | ~spl4_10), 6.57/6.84 inference(superposition,[],[f203,f498])). 6.57/6.84 tff(f556,plain,( 6.57/6.84 spl4_14 | ~spl4_4), 6.57/6.84 inference(avatar_split_clause,[],[f549,f88,f554])). 6.57/6.84 tff(f549,plain,( 6.57/6.84 cardinality(union(empty_set,sK1)) = $sum(sK2,cardinality(empty_set)) | ~spl4_4), 6.57/6.84 inference(forward_demodulation,[],[f536,f15])). 6.57/6.84 tff(f536,plain,( 6.57/6.84 cardinality(union(empty_set,sK1)) = $sum(cardinality(empty_set),sK2) | ~spl4_4), 6.57/6.84 inference(superposition,[],[f203,f89])). 6.57/6.84 tff(f526,plain,( 6.57/6.84 spl4_12 | ~spl4_10), 6.57/6.84 inference(avatar_split_clause,[],[f518,f497,f524])). 6.57/6.84 tff(f524,plain,( 6.57/6.84 spl4_12 <=> cardinality(union(union(sK1,empty_set),empty_set)) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_12])])). 6.57/6.84 tff(f518,plain,( 6.57/6.84 cardinality(union(union(sK1,empty_set),empty_set)) = $sum($sum(sK2,cardinality(empty_set)),cardinality(empty_set)) | ~spl4_10), 6.57/6.84 inference(superposition,[],[f187,f498])). 6.57/6.84 tff(f499,plain,( 6.57/6.84 spl4_10 | ~spl4_4), 6.57/6.84 inference(avatar_split_clause,[],[f481,f88,f497])). 6.57/6.84 tff(f481,plain,( 6.57/6.84 cardinality(union(sK1,empty_set)) = $sum(sK2,cardinality(empty_set)) | ~spl4_4), 6.57/6.84 inference(superposition,[],[f187,f89])). 6.57/6.84 tff(f452,plain,( 6.57/6.84 ~spl4_7 | spl4_8), 6.57/6.84 inference(avatar_split_clause,[],[f442,f450,f447])). 6.57/6.84 tff(f447,plain,( 6.57/6.84 spl4_7 <=> cardinality(empty_set) != $sum(1,cardinality(empty_set))), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])). 6.57/6.84 tff(f450,plain,( 6.57/6.84 spl4_8 <=> ! [X1 : element] : empty_set = singleton(X1)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])). 6.57/6.84 tff(f442,plain,( 6.57/6.84 ( ! [X1:element] : (empty_set = singleton(X1) | cardinality(empty_set) != $sum(1,cardinality(empty_set))) )), 6.57/6.84 inference(forward_demodulation,[],[f436,f175])). 6.57/6.84 tff(f436,plain,( 6.57/6.84 ( ! [X1:element] : (cardinality(empty_set) != $sum(1,cardinality(empty_set)) | singleton(X1) = intersection(singleton(X1),empty_set)) )), 6.57/6.84 inference(superposition,[],[f58,f186])). 6.57/6.84 tff(f186,plain,( 6.57/6.84 ( ! [X6:element] : (cardinality(union(singleton(X6),empty_set)) = $sum(1,cardinality(empty_set))) )), 6.57/6.84 inference(trivial_inequality_removal,[],[f184])). 6.57/6.84 tff(f184,plain,( 6.57/6.84 ( ! [X6:element] : (empty_set != empty_set | cardinality(union(singleton(X6),empty_set)) = $sum(1,cardinality(empty_set))) )), 6.57/6.84 inference(superposition,[],[f91,f175])). 6.57/6.84 tff(f58,plain,( 6.57/6.84 ( ! [X0:element,X1:set] : (cardinality(X1) != cardinality(union(singleton(X0),X1)) | singleton(X0) = intersection(singleton(X0),X1)) )), 6.57/6.84 inference(cnf_transformation,[],[f40])). 6.57/6.84 tff(f90,plain,( 6.57/6.84 spl4_4), 6.57/6.84 inference(avatar_split_clause,[],[f48,f88])). 6.57/6.84 tff(f48,plain,( 6.57/6.84 cardinality(sK1) = sK2), 6.57/6.84 inference(cnf_transformation,[],[f35])). 6.57/6.84 tff(f35,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) != $sum(sK2,1) & ~member(sK0,sK1) & cardinality(sK1) = sK2), 6.57/6.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f33,f34])). 6.57/6.84 tff(f34,plain,( 6.57/6.84 ? [X0 : element,X1 : set,X2 : $int] : (cardinality(union(singleton(X0),X1)) != $sum(X2,1) & ~member(X0,X1) & cardinality(X1) = X2) => (cardinality(union(singleton(sK0),sK1)) != $sum(sK2,1) & ~member(sK0,sK1) & cardinality(sK1) = sK2)), 6.57/6.84 introduced(choice_axiom,[])). 6.57/6.84 tff(f33,plain,( 6.57/6.84 ? [X0 : element,X1 : set,X2 : $int] : (cardinality(union(singleton(X0),X1)) != $sum(X2,1) & ~member(X0,X1) & cardinality(X1) = X2)), 6.57/6.84 inference(flattening,[],[f32])). 6.57/6.84 tff(f32,plain,( 6.57/6.84 ? [X0 : element,X1 : set,X2 : $int] : (cardinality(union(singleton(X0),X1)) != $sum(X2,1) & (~member(X0,X1) & cardinality(X1) = X2))), 6.57/6.84 inference(ennf_transformation,[],[f27])). 6.57/6.84 tff(f27,plain,( 6.57/6.84 ~! [X0 : element,X1 : set,X2 : $int] : ((~member(X0,X1) & cardinality(X1) = X2) => cardinality(union(singleton(X0),X1)) = $sum(X2,1))), 6.57/6.84 inference(rectify,[],[f10])). 6.57/6.84 tff(f10,negated_conjecture,( 6.57/6.84 ~! [X0 : element,X5 : set,X6 : $int] : ((~member(X0,X5) & cardinality(X5) = X6) => cardinality(union(singleton(X0),X5)) = $sum(X6,1))), 6.57/6.84 inference(negated_conjecture,[],[f9])). 6.57/6.84 tff(f9,conjecture,( 6.57/6.84 ! [X0 : element,X5 : set,X6 : $int] : ((~member(X0,X5) & cardinality(X5) = X6) => cardinality(union(singleton(X0),X5)) = $sum(X6,1))), 6.57/6.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc2)). 6.57/6.84 tff(f83,plain,( 6.57/6.84 ~spl4_3), 6.57/6.84 inference(avatar_split_clause,[],[f49,f81])). 6.57/6.84 tff(f49,plain,( 6.57/6.84 ~member(sK0,sK1)), 6.57/6.84 inference(cnf_transformation,[],[f35])). 6.57/6.84 tff(f76,plain,( 6.57/6.84 ~spl4_1), 6.57/6.84 inference(avatar_split_clause,[],[f69,f74])). 6.57/6.84 tff(f74,plain,( 6.57/6.84 spl4_1 <=> cardinality(union(singleton(sK0),sK1)) != $sum(1,sK2)), 6.57/6.84 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 6.57/6.84 tff(f69,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) != $sum(1,sK2)), 6.57/6.84 inference(forward_demodulation,[],[f50,f15])). 6.57/6.84 tff(f50,plain,( 6.57/6.84 cardinality(union(singleton(sK0),sK1)) != $sum(sK2,1)), 6.57/6.84 inference(cnf_transformation,[],[f35])). 6.57/6.84 % SZS output end Proof for theBenchmark 6.57/6.84 % ------------------------------ 6.57/6.84 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.57/6.84 % Termination reason: Refutation 6.57/6.84 6.57/6.84 % Memory used [KB]: 6780 6.57/6.84 % Time elapsed: 0.110 s 6.57/6.84 % ------------------------------ 6.57/6.84 % ------------------------------ 6.57/6.85 % Success in time 6.528 s 6.57/6.85 EOF