TSTP Solution File: GRP347-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP347-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:23:25 EDT 2023
% Result : Unsatisfiable 0.24s 0.52s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP347-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 20:23:53 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.23/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870
% 0.23/0.37 % (24006)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (24007)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.24/0.44 % (24012)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.24/0.44 % (24011)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.24/0.44 % (24008)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.24/0.44 % (24009)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.24/0.45 % (24010)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.24/0.47 % (24013)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.24/0.52 % (24010)First to succeed.
% 0.24/0.52 % (24012)Also succeeded, but the first one will report.
% 0.24/0.52 % (24010)Refutation found. Thanks to Tanya!
% 0.24/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.52 % SZS output start Proof for Vampire---4
% 0.24/0.52 fof(f1276,plain,(
% 0.24/0.52 $false),
% 0.24/0.52 inference(avatar_sat_refutation,[],[f110,f114,f118,f122,f127,f132,f137,f142,f143,f148,f149,f150,f151,f152,f157,f162,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f229,f250,f352,f358,f393,f461,f495,f562,f867,f1119,f1151,f1161,f1275])).
% 0.24/0.52 fof(f1275,plain,(
% 0.24/0.52 spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f1274])).
% 0.24/0.52 fof(f1274,plain,(
% 0.24/0.52 $false | (spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(global_subsumption,[],[f1241,f1220])).
% 0.24/0.52 fof(f1220,plain,(
% 0.24/0.52 sk_c7 = sk_c5 | (~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1185,f1207])).
% 0.24/0.52 fof(f1207,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = X0) ) | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1,f1206])).
% 0.24/0.52 fof(f1206,plain,(
% 0.24/0.52 identity = sk_c7 | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1204,f2])).
% 0.24/0.52 fof(f2,axiom,(
% 0.24/0.52 ( ! [X0] : (identity = multiply(inverse(X0),X0)) )),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',left_inverse)).
% 0.24/0.52 fof(f1204,plain,(
% 0.24/0.52 sk_c7 = multiply(inverse(sk_c6),sk_c6) | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(superposition,[],[f527,f996])).
% 0.24/0.52 fof(f996,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c6,sk_c7) | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f994,f506])).
% 0.24/0.52 fof(f506,plain,(
% 0.24/0.52 sk_c6 = inverse(sk_c3) | ~spl14_16),
% 0.24/0.52 inference(backward_demodulation,[],[f60,f156])).
% 0.24/0.52 fof(f156,plain,(
% 0.24/0.52 sk_c6 = sF11 | ~spl14_16),
% 0.24/0.52 inference(avatar_component_clause,[],[f154])).
% 0.24/0.52 fof(f154,plain,(
% 0.24/0.52 spl14_16 <=> sk_c6 = sF11),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_16])])).
% 0.24/0.52 fof(f60,plain,(
% 0.24/0.52 inverse(sk_c3) = sF11),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f994,plain,(
% 0.24/0.52 sk_c6 = multiply(inverse(sk_c3),sk_c7) | ~spl14_18),
% 0.24/0.52 inference(superposition,[],[f527,f504])).
% 0.24/0.52 fof(f504,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c3,sk_c6) | ~spl14_18),
% 0.24/0.52 inference(backward_demodulation,[],[f64,f166])).
% 0.24/0.52 fof(f166,plain,(
% 0.24/0.52 sk_c7 = sF13 | ~spl14_18),
% 0.24/0.52 inference(avatar_component_clause,[],[f164])).
% 0.24/0.52 fof(f164,plain,(
% 0.24/0.52 spl14_18 <=> sk_c7 = sF13),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_18])])).
% 0.24/0.52 fof(f64,plain,(
% 0.24/0.52 multiply(sk_c3,sk_c6) = sF13),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f527,plain,(
% 0.24/0.52 ( ! [X0,X1] : (multiply(inverse(X0),multiply(X0,X1)) = X1) )),
% 0.24/0.52 inference(forward_demodulation,[],[f526,f1])).
% 0.24/0.52 fof(f526,plain,(
% 0.24/0.52 ( ! [X0,X1] : (multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1)) )),
% 0.24/0.52 inference(superposition,[],[f3,f2])).
% 0.24/0.52 fof(f3,axiom,(
% 0.24/0.52 ( ! [X2,X0,X1] : (multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2))) )),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',associativity)).
% 0.24/0.52 fof(f1,axiom,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = X0) )),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',left_identity)).
% 0.24/0.52 fof(f1185,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c7,sk_c5) | (~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(forward_demodulation,[],[f1183,f507])).
% 0.24/0.52 fof(f507,plain,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | ~spl14_15),
% 0.24/0.52 inference(backward_demodulation,[],[f54,f147])).
% 0.24/0.52 fof(f147,plain,(
% 0.24/0.52 sk_c7 = sF10 | ~spl14_15),
% 0.24/0.52 inference(avatar_component_clause,[],[f145])).
% 0.24/0.52 fof(f145,plain,(
% 0.24/0.52 spl14_15 <=> sk_c7 = sF10),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_15])])).
% 0.24/0.52 fof(f54,plain,(
% 0.24/0.52 inverse(sk_c4) = sF10),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f1183,plain,(
% 0.24/0.52 sk_c7 = multiply(inverse(sk_c4),sk_c5) | ~spl14_17),
% 0.24/0.52 inference(superposition,[],[f527,f505])).
% 0.24/0.52 fof(f505,plain,(
% 0.24/0.52 sk_c5 = multiply(sk_c4,sk_c7) | ~spl14_17),
% 0.24/0.52 inference(backward_demodulation,[],[f62,f161])).
% 0.24/0.52 fof(f161,plain,(
% 0.24/0.52 sk_c5 = sF12 | ~spl14_17),
% 0.24/0.52 inference(avatar_component_clause,[],[f159])).
% 0.24/0.52 fof(f159,plain,(
% 0.24/0.52 spl14_17 <=> sk_c5 = sF12),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_17])])).
% 0.24/0.52 fof(f62,plain,(
% 0.24/0.52 multiply(sk_c4,sk_c7) = sF12),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f1241,plain,(
% 0.24/0.52 sk_c7 != sk_c5 | (spl14_4 | ~spl14_5 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1171,f1233])).
% 0.24/0.52 fof(f1233,plain,(
% 0.24/0.52 sk_c6 = sk_c7 | (~spl14_5 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f504,f1228])).
% 0.24/0.52 fof(f1228,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,X0) = X0) ) | (~spl14_5 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1218,f1224])).
% 0.24/0.52 fof(f1224,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,X0) = X0) ) | (~spl14_5 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1216,f1222])).
% 0.24/0.52 fof(f1222,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = X0) ) | (~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1219,f1217])).
% 0.24/0.52 fof(f1217,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = multiply(sk_c4,X0)) ) | (~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f512,f1207])).
% 0.24/0.52 fof(f512,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c7,X0))) ) | ~spl14_17),
% 0.24/0.52 inference(superposition,[],[f3,f505])).
% 0.24/0.52 fof(f1219,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c4,X0) = X0) ) | (~spl14_15 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f533,f1207])).
% 0.24/0.52 fof(f533,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,multiply(sk_c4,X0)) = X0) ) | ~spl14_15),
% 0.24/0.52 inference(forward_demodulation,[],[f532,f1])).
% 0.24/0.52 fof(f532,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))) ) | ~spl14_15),
% 0.24/0.52 inference(superposition,[],[f3,f523])).
% 0.24/0.52 fof(f523,plain,(
% 0.24/0.52 identity = multiply(sk_c7,sk_c4) | ~spl14_15),
% 0.24/0.52 inference(superposition,[],[f2,f507])).
% 0.24/0.52 fof(f1216,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,multiply(sk_c5,X0)) = X0) ) | (~spl14_5 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f510,f1207])).
% 0.24/0.52 fof(f510,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))) ) | ~spl14_5),
% 0.24/0.52 inference(superposition,[],[f3,f502])).
% 0.24/0.52 fof(f502,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c6,sk_c5) | ~spl14_5),
% 0.24/0.52 inference(forward_demodulation,[],[f42,f101])).
% 0.24/0.52 fof(f101,plain,(
% 0.24/0.52 sk_c7 = sF4 | ~spl14_5),
% 0.24/0.52 inference(avatar_component_clause,[],[f100])).
% 0.24/0.52 fof(f100,plain,(
% 0.24/0.52 spl14_5 <=> sk_c7 = sF4),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_5])])).
% 0.24/0.52 fof(f42,plain,(
% 0.24/0.52 multiply(sk_c6,sk_c5) = sF4),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f1218,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,multiply(sk_c6,X0)) = X0) ) | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f995,f1207])).
% 0.24/0.52 fof(f995,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))) ) | ~spl14_18),
% 0.24/0.52 inference(superposition,[],[f3,f504])).
% 0.24/0.52 fof(f1171,plain,(
% 0.24/0.52 sk_c6 != sk_c5 | (spl14_4 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f98,f1170])).
% 0.24/0.52 fof(f1170,plain,(
% 0.24/0.52 sk_c6 = sF5 | (~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f43,f996])).
% 0.24/0.52 fof(f43,plain,(
% 0.24/0.52 multiply(sk_c6,sk_c7) = sF5),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f98,plain,(
% 0.24/0.52 sk_c5 != sF5 | spl14_4),
% 0.24/0.52 inference(avatar_component_clause,[],[f96])).
% 0.24/0.52 fof(f96,plain,(
% 0.24/0.52 spl14_4 <=> sk_c5 = sF5),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_4])])).
% 0.24/0.52 fof(f1161,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f1160])).
% 0.24/0.52 fof(f1160,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f1159])).
% 0.24/0.52 fof(f1159,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21)),
% 0.24/0.52 inference(forward_demodulation,[],[f1158,f1032])).
% 0.24/0.52 fof(f1032,plain,(
% 0.24/0.52 sk_c6 = sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f504,f1025])).
% 0.24/0.52 fof(f1025,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,X0) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1020,f1024])).
% 0.24/0.52 fof(f1024,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,X0) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1021,f1018])).
% 0.24/0.52 fof(f1018,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,X0) = multiply(sk_c4,X0)) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1005,f1016])).
% 0.24/0.52 fof(f1016,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1,f1013])).
% 0.24/0.52 fof(f1013,plain,(
% 0.24/0.52 identity = sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1006,f1002])).
% 0.24/0.52 fof(f1002,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c6,sk_c6) | (~spl14_4 | ~spl14_5 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f502,f997])).
% 0.24/0.52 fof(f997,plain,(
% 0.24/0.52 sk_c6 = sk_c5 | (~spl14_4 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f996,f983])).
% 0.24/0.52 fof(f983,plain,(
% 0.24/0.52 multiply(sk_c6,sk_c7) = sk_c5 | ~spl14_4),
% 0.24/0.52 inference(forward_demodulation,[],[f43,f97])).
% 0.24/0.52 fof(f97,plain,(
% 0.24/0.52 sk_c5 = sF5 | ~spl14_4),
% 0.24/0.52 inference(avatar_component_clause,[],[f96])).
% 0.24/0.52 fof(f1006,plain,(
% 0.24/0.52 identity = multiply(sk_c6,sk_c6) | (~spl14_4 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f521,f997])).
% 0.24/0.52 fof(f521,plain,(
% 0.24/0.52 identity = multiply(sk_c5,sk_c6) | ~spl14_7),
% 0.24/0.52 inference(superposition,[],[f2,f500])).
% 0.24/0.52 fof(f500,plain,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | ~spl14_7),
% 0.24/0.52 inference(forward_demodulation,[],[f41,f108])).
% 0.24/0.52 fof(f108,plain,(
% 0.24/0.52 sk_c5 = sF3 | ~spl14_7),
% 0.24/0.52 inference(avatar_component_clause,[],[f107])).
% 0.24/0.52 fof(f107,plain,(
% 0.24/0.52 spl14_7 <=> sk_c5 = sF3),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_7])])).
% 0.24/0.52 fof(f41,plain,(
% 0.24/0.52 inverse(sk_c6) = sF3),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f1005,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c7,X0))) ) | (~spl14_4 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f512,f997])).
% 0.24/0.52 fof(f1021,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c4,X0) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f533,f1016])).
% 0.24/0.52 fof(f1020,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,multiply(sk_c6,X0)) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f511,f1016])).
% 0.24/0.52 fof(f511,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))) ) | ~spl14_18),
% 0.24/0.52 inference(superposition,[],[f3,f504])).
% 0.24/0.52 fof(f1158,plain,(
% 0.24/0.52 sk_c6 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21)),
% 0.24/0.52 inference(forward_demodulation,[],[f1157,f1031])).
% 0.24/0.52 fof(f1031,plain,(
% 0.24/0.52 sk_c7 = sk_c3 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1015,f1024])).
% 0.24/0.52 fof(f1015,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c6,sk_c3) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f522,f1013])).
% 0.24/0.52 fof(f522,plain,(
% 0.24/0.52 identity = multiply(sk_c6,sk_c3) | ~spl14_16),
% 0.24/0.52 inference(superposition,[],[f2,f506])).
% 0.24/0.52 fof(f1157,plain,(
% 0.24/0.52 sk_c6 != sk_c3 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21)),
% 0.24/0.52 inference(forward_demodulation,[],[f1156,f1095])).
% 0.24/0.52 fof(f1095,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(X0,sk_c7) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1087,f932])).
% 0.24/0.52 fof(f932,plain,(
% 0.24/0.52 ( ! [X4,X5] : (multiply(X4,X5) = multiply(inverse(inverse(X4)),X5)) )),
% 0.24/0.52 inference(superposition,[],[f527,f527])).
% 0.24/0.52 fof(f1087,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(inverse(inverse(X0)),sk_c7) = X0) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(superposition,[],[f527,f1017])).
% 0.24/0.52 fof(f1017,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(inverse(X0),X0) = sk_c7) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f2,f1013])).
% 0.24/0.52 fof(f1156,plain,(
% 0.24/0.52 sk_c6 != multiply(sk_c3,sk_c7) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18 | spl14_21)),
% 0.24/0.52 inference(forward_demodulation,[],[f228,f1039])).
% 0.24/0.52 fof(f1039,plain,(
% 0.24/0.52 sk_c7 = sk_c5 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f997,f1032])).
% 0.24/0.52 fof(f228,plain,(
% 0.24/0.52 sk_c6 != multiply(sk_c3,sk_c5) | spl14_21),
% 0.24/0.52 inference(avatar_component_clause,[],[f226])).
% 0.24/0.52 fof(f226,plain,(
% 0.24/0.52 spl14_21 <=> sk_c6 = multiply(sk_c3,sk_c5)),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_21])])).
% 0.24/0.52 fof(f1151,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f1150])).
% 0.24/0.52 fof(f1150,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f1149])).
% 0.24/0.52 fof(f1149,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(duplicate_literal_removal,[],[f1144])).
% 0.24/0.52 fof(f1144,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c7 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(superposition,[],[f1121,f1043])).
% 0.24/0.52 fof(f1043,plain,(
% 0.24/0.52 sk_c7 = inverse(sk_c7) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1001,f1032])).
% 0.24/0.52 fof(f1001,plain,(
% 0.24/0.52 sk_c6 = inverse(sk_c6) | (~spl14_4 | ~spl14_7 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f500,f997])).
% 0.24/0.52 fof(f1121,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != inverse(X6) | sk_c7 != X6) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f1120,f1039])).
% 0.24/0.52 fof(f1120,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c5 != X6 | sk_c7 != inverse(X6)) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_9 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f117,f1095])).
% 0.24/0.52 fof(f117,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != inverse(X6) | sk_c5 != multiply(X6,sk_c7)) ) | ~spl14_9),
% 0.24/0.52 inference(avatar_component_clause,[],[f116])).
% 0.24/0.52 fof(f116,plain,(
% 0.24/0.52 spl14_9 <=> ! [X6] : (sk_c7 != inverse(X6) | sk_c5 != multiply(X6,sk_c7))),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_9])])).
% 0.24/0.52 fof(f1119,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f1118])).
% 0.24/0.52 fof(f1118,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f1117])).
% 0.24/0.52 fof(f1117,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(duplicate_literal_removal,[],[f1113])).
% 0.24/0.52 fof(f1113,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c7 != sk_c7 | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(superposition,[],[f1099,f1043])).
% 0.24/0.52 fof(f1099,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != X3) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f1034,f1095])).
% 0.24/0.52 fof(f1034,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != multiply(X3,sk_c7) | sk_c7 != inverse(X3)) ) | (~spl14_4 | ~spl14_5 | ~spl14_7 | ~spl14_10 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f121,f1032])).
% 0.24/0.52 fof(f121,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != multiply(X3,sk_c6)) ) | ~spl14_10),
% 0.24/0.52 inference(avatar_component_clause,[],[f120])).
% 0.24/0.52 fof(f120,plain,(
% 0.24/0.52 spl14_10 <=> ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != multiply(X3,sk_c6))),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_10])])).
% 0.24/0.52 fof(f867,plain,(
% 0.24/0.52 ~spl14_5 | ~spl14_7 | ~spl14_12 | spl14_14 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f866])).
% 0.24/0.52 fof(f866,plain,(
% 0.24/0.52 $false | (~spl14_5 | ~spl14_7 | ~spl14_12 | spl14_14 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(global_subsumption,[],[f814,f844])).
% 0.24/0.52 fof(f844,plain,(
% 0.24/0.52 sk_c7 = sF9 | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(forward_demodulation,[],[f843,f593])).
% 0.24/0.52 fof(f593,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12)),
% 0.24/0.52 inference(forward_demodulation,[],[f589,f510])).
% 0.24/0.52 fof(f589,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,multiply(sk_c5,X0)) = X0) ) | (~spl14_7 | ~spl14_12)),
% 0.24/0.52 inference(backward_demodulation,[],[f196,f582])).
% 0.24/0.52 fof(f582,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = multiply(sk_c2,X0)) ) | (~spl14_7 | ~spl14_12)),
% 0.24/0.52 inference(superposition,[],[f529,f196])).
% 0.24/0.52 fof(f529,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,multiply(sk_c6,X0)) = X0) ) | ~spl14_7),
% 0.24/0.52 inference(forward_demodulation,[],[f528,f1])).
% 0.24/0.52 fof(f528,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))) ) | ~spl14_7),
% 0.24/0.52 inference(superposition,[],[f3,f521])).
% 0.24/0.52 fof(f196,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,multiply(sk_c2,X0)) = X0) ) | ~spl14_12),
% 0.24/0.52 inference(forward_demodulation,[],[f195,f1])).
% 0.24/0.52 fof(f195,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))) ) | ~spl14_12),
% 0.24/0.52 inference(superposition,[],[f3,f190])).
% 0.24/0.52 fof(f190,plain,(
% 0.24/0.52 identity = multiply(sk_c6,sk_c2) | ~spl14_12),
% 0.24/0.52 inference(superposition,[],[f2,f187])).
% 0.24/0.52 fof(f187,plain,(
% 0.24/0.52 sk_c6 = inverse(sk_c2) | ~spl14_12),
% 0.24/0.52 inference(backward_demodulation,[],[f47,f131])).
% 0.24/0.52 fof(f131,plain,(
% 0.24/0.52 sk_c6 = sF7 | ~spl14_12),
% 0.24/0.52 inference(avatar_component_clause,[],[f129])).
% 0.24/0.52 fof(f129,plain,(
% 0.24/0.52 spl14_12 <=> sk_c6 = sF7),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_12])])).
% 0.24/0.52 fof(f47,plain,(
% 0.24/0.52 inverse(sk_c2) = sF7),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f843,plain,(
% 0.24/0.52 sF9 = multiply(sk_c7,sk_c7) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(forward_demodulation,[],[f587,f731])).
% 0.24/0.52 fof(f731,plain,(
% 0.24/0.52 sk_c7 = sk_c5 | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(backward_demodulation,[],[f584,f727])).
% 0.24/0.52 fof(f727,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(forward_demodulation,[],[f726,f1])).
% 0.24/0.52 fof(f726,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c5,X0)) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_17)),
% 0.24/0.52 inference(forward_demodulation,[],[f599,f607])).
% 0.24/0.52 fof(f607,plain,(
% 0.24/0.52 identity = sk_c4 | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15)),
% 0.24/0.52 inference(backward_demodulation,[],[f523,f593])).
% 0.24/0.52 fof(f599,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c5,X0) = multiply(sk_c4,X0)) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_17)),
% 0.24/0.52 inference(backward_demodulation,[],[f512,f593])).
% 0.24/0.52 fof(f584,plain,(
% 0.24/0.52 sk_c5 = multiply(sk_c5,sk_c7) | (~spl14_5 | ~spl14_7)),
% 0.24/0.52 inference(superposition,[],[f529,f502])).
% 0.24/0.52 fof(f587,plain,(
% 0.24/0.52 sF9 = multiply(sk_c5,sk_c5) | (~spl14_7 | ~spl14_12)),
% 0.24/0.52 inference(superposition,[],[f529,f564])).
% 0.24/0.52 fof(f564,plain,(
% 0.24/0.52 sk_c5 = multiply(sk_c6,sF9) | ~spl14_12),
% 0.24/0.52 inference(superposition,[],[f196,f51])).
% 0.24/0.52 fof(f51,plain,(
% 0.24/0.52 multiply(sk_c2,sk_c5) = sF9),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f814,plain,(
% 0.24/0.52 sk_c7 != sF9 | (~spl14_5 | ~spl14_7 | ~spl14_12 | spl14_14 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f140,f810])).
% 0.24/0.52 fof(f810,plain,(
% 0.24/0.52 sk_c6 = sk_c7 | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f504,f806])).
% 0.24/0.52 fof(f806,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,X0) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f531,f736])).
% 0.24/0.52 fof(f736,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,X0) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f735,f1])).
% 0.24/0.52 fof(f735,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,multiply(sk_c6,X0)) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_16 | ~spl14_17 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f598,f729])).
% 0.24/0.52 fof(f729,plain,(
% 0.24/0.52 identity = sk_c3 | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_15 | ~spl14_16 | ~spl14_17)),
% 0.24/0.52 inference(backward_demodulation,[],[f716,f727])).
% 0.24/0.52 fof(f716,plain,(
% 0.24/0.52 sk_c3 = multiply(sk_c5,identity) | (~spl14_7 | ~spl14_12 | ~spl14_16)),
% 0.24/0.52 inference(backward_demodulation,[],[f586,f715])).
% 0.24/0.52 fof(f715,plain,(
% 0.24/0.52 sk_c3 = sk_c2 | (~spl14_7 | ~spl14_12 | ~spl14_16)),
% 0.24/0.52 inference(forward_demodulation,[],[f585,f586])).
% 0.24/0.52 fof(f585,plain,(
% 0.24/0.52 sk_c3 = multiply(sk_c5,identity) | (~spl14_7 | ~spl14_16)),
% 0.24/0.52 inference(superposition,[],[f529,f522])).
% 0.24/0.52 fof(f586,plain,(
% 0.24/0.52 sk_c2 = multiply(sk_c5,identity) | (~spl14_7 | ~spl14_12)),
% 0.24/0.52 inference(superposition,[],[f529,f190])).
% 0.24/0.52 fof(f598,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c3,multiply(sk_c6,X0)) = X0) ) | (~spl14_5 | ~spl14_7 | ~spl14_12 | ~spl14_18)),
% 0.24/0.52 inference(backward_demodulation,[],[f511,f593])).
% 0.24/0.52 fof(f531,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c6,multiply(sk_c3,X0)) = X0) ) | ~spl14_16),
% 0.24/0.52 inference(forward_demodulation,[],[f530,f1])).
% 0.24/0.52 fof(f530,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))) ) | ~spl14_16),
% 0.24/0.52 inference(superposition,[],[f3,f522])).
% 0.24/0.52 fof(f140,plain,(
% 0.24/0.52 sk_c6 != sF9 | spl14_14),
% 0.24/0.52 inference(avatar_component_clause,[],[f139])).
% 0.24/0.52 fof(f139,plain,(
% 0.24/0.52 spl14_14 <=> sk_c6 = sF9),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_14])])).
% 0.24/0.52 fof(f562,plain,(
% 0.24/0.52 ~spl14_6 | ~spl14_16 | ~spl14_18),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f561])).
% 0.24/0.52 fof(f561,plain,(
% 0.24/0.52 $false | (~spl14_6 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f560])).
% 0.24/0.52 fof(f560,plain,(
% 0.24/0.52 sk_c6 != sk_c6 | (~spl14_6 | ~spl14_16 | ~spl14_18)),
% 0.24/0.52 inference(forward_demodulation,[],[f542,f506])).
% 0.24/0.52 fof(f542,plain,(
% 0.24/0.52 sk_c6 != inverse(sk_c3) | (~spl14_6 | ~spl14_18)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f539])).
% 0.24/0.52 fof(f539,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c6 != inverse(sk_c3) | (~spl14_6 | ~spl14_18)),
% 0.24/0.52 inference(superposition,[],[f105,f504])).
% 0.24/0.52 fof(f105,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c7 != multiply(X5,sk_c6) | sk_c6 != inverse(X5)) ) | ~spl14_6),
% 0.24/0.52 inference(avatar_component_clause,[],[f104])).
% 0.24/0.52 fof(f104,plain,(
% 0.24/0.52 spl14_6 <=> ! [X5] : (sk_c6 != inverse(X5) | sk_c7 != multiply(X5,sk_c6))),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_6])])).
% 0.24/0.52 fof(f495,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f494])).
% 0.24/0.52 fof(f494,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f493])).
% 0.24/0.52 fof(f493,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(duplicate_literal_removal,[],[f488])).
% 0.24/0.52 fof(f488,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c7 != sk_c7 | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f467,f354])).
% 0.24/0.52 fof(f354,plain,(
% 0.24/0.52 sk_c7 = inverse(sk_c7) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f287,f346])).
% 0.24/0.52 fof(f346,plain,(
% 0.24/0.52 sk_c7 = sF3 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f342,f287])).
% 0.24/0.52 fof(f342,plain,(
% 0.24/0.52 sk_c7 = inverse(sk_c7) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f317,f340])).
% 0.24/0.52 fof(f340,plain,(
% 0.24/0.52 identity = sk_c7 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f331,f339])).
% 0.24/0.52 fof(f339,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sF3,X0) = X0) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f338,f1])).
% 0.24/0.52 fof(f338,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sF3,X0)) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f337,f313])).
% 0.24/0.52 fof(f313,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,X0) = X0) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f198,f311])).
% 0.24/0.52 fof(f311,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c1,X0) = X0) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f295,f255])).
% 0.24/0.52 fof(f255,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))) ) | (~spl14_12 | ~spl14_13)),
% 0.24/0.52 inference(superposition,[],[f193,f196])).
% 0.24/0.52 fof(f193,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c1,multiply(sk_c6,X0)) = multiply(sk_c7,X0)) ) | ~spl14_13),
% 0.24/0.52 inference(superposition,[],[f3,f186])).
% 0.24/0.52 fof(f186,plain,(
% 0.24/0.52 sk_c7 = multiply(sk_c1,sk_c6) | ~spl14_13),
% 0.24/0.52 inference(backward_demodulation,[],[f49,f136])).
% 0.24/0.52 fof(f136,plain,(
% 0.24/0.52 sk_c7 = sF8 | ~spl14_13),
% 0.24/0.52 inference(avatar_component_clause,[],[f134])).
% 0.24/0.52 fof(f134,plain,(
% 0.24/0.52 spl14_13 <=> sk_c7 = sF8),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_13])])).
% 0.24/0.52 fof(f49,plain,(
% 0.24/0.52 multiply(sk_c1,sk_c6) = sF8),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f295,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,multiply(sk_c2,X0)) = X0) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f196,f286])).
% 0.24/0.52 fof(f286,plain,(
% 0.24/0.52 sk_c6 = sk_c7 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f285,f186])).
% 0.24/0.52 fof(f285,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c1,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f284,f263])).
% 0.24/0.52 fof(f263,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c7,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f262,f203])).
% 0.24/0.52 fof(f203,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c7,sk_c7) | (~spl14_11 | ~spl14_13)),
% 0.24/0.52 inference(superposition,[],[f198,f186])).
% 0.24/0.52 fof(f262,plain,(
% 0.24/0.52 multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6) | (~spl14_4 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f257,f256])).
% 0.24/0.52 fof(f256,plain,(
% 0.24/0.52 multiply(sk_c1,sk_c5) = multiply(sk_c7,sk_c6) | (~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f193,f199])).
% 0.24/0.52 fof(f199,plain,(
% 0.24/0.52 sk_c5 = multiply(sk_c6,sk_c6) | (~spl14_12 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f196,f185])).
% 0.24/0.52 fof(f185,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c2,sk_c5) | ~spl14_14),
% 0.24/0.52 inference(backward_demodulation,[],[f51,f141])).
% 0.24/0.52 fof(f141,plain,(
% 0.24/0.52 sk_c6 = sF9 | ~spl14_14),
% 0.24/0.52 inference(avatar_component_clause,[],[f139])).
% 0.24/0.52 fof(f257,plain,(
% 0.24/0.52 multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5) | (~spl14_4 | ~spl14_13)),
% 0.24/0.52 inference(superposition,[],[f193,f189])).
% 0.24/0.52 fof(f189,plain,(
% 0.24/0.52 multiply(sk_c6,sk_c7) = sk_c5 | ~spl14_4),
% 0.24/0.52 inference(backward_demodulation,[],[f43,f97])).
% 0.24/0.52 fof(f284,plain,(
% 0.24/0.52 multiply(sk_c1,sk_c6) = multiply(sk_c7,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f280,f282])).
% 0.24/0.52 fof(f282,plain,(
% 0.24/0.52 sk_c6 = sF4 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f278,f271])).
% 0.24/0.52 fof(f271,plain,(
% 0.24/0.52 sF4 = multiply(sk_c6,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f42,f270])).
% 0.24/0.52 fof(f270,plain,(
% 0.24/0.52 sk_c6 = sk_c5 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f268,f263])).
% 0.24/0.52 fof(f268,plain,(
% 0.24/0.52 sk_c5 = multiply(sk_c7,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f198,f264])).
% 0.24/0.52 fof(f264,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c1,sk_c5) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f256,f263])).
% 0.24/0.52 fof(f278,plain,(
% 0.24/0.52 sk_c6 = multiply(sk_c6,sk_c6) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f199,f270])).
% 0.24/0.52 fof(f280,plain,(
% 0.24/0.52 multiply(sk_c7,sk_c6) = multiply(sk_c1,sF4) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f258,f270])).
% 0.24/0.52 fof(f258,plain,(
% 0.24/0.52 multiply(sk_c7,sk_c5) = multiply(sk_c1,sF4) | ~spl14_13),
% 0.24/0.52 inference(superposition,[],[f193,f42])).
% 0.24/0.52 fof(f198,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(sk_c7,multiply(sk_c1,X0)) = X0) ) | ~spl14_11),
% 0.24/0.52 inference(forward_demodulation,[],[f197,f1])).
% 0.24/0.52 fof(f197,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))) ) | ~spl14_11),
% 0.24/0.52 inference(superposition,[],[f3,f191])).
% 0.24/0.52 fof(f191,plain,(
% 0.24/0.52 identity = multiply(sk_c7,sk_c1) | ~spl14_11),
% 0.24/0.52 inference(superposition,[],[f2,f188])).
% 0.24/0.52 fof(f188,plain,(
% 0.24/0.52 sk_c7 = inverse(sk_c1) | ~spl14_11),
% 0.24/0.52 inference(backward_demodulation,[],[f45,f126])).
% 0.24/0.52 fof(f126,plain,(
% 0.24/0.52 sk_c7 = sF6 | ~spl14_11),
% 0.24/0.52 inference(avatar_component_clause,[],[f124])).
% 0.24/0.52 fof(f124,plain,(
% 0.24/0.52 spl14_11 <=> sk_c7 = sF6),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_11])])).
% 0.24/0.52 fof(f45,plain,(
% 0.24/0.52 inverse(sk_c1) = sF6),
% 0.24/0.52 introduced(function_definition,[])).
% 0.24/0.52 fof(f337,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(identity,X0) = multiply(sF3,multiply(sk_c7,X0))) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f3,f331])).
% 0.24/0.52 fof(f331,plain,(
% 0.24/0.52 identity = multiply(sF3,sk_c7) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f2,f287])).
% 0.24/0.52 fof(f317,plain,(
% 0.24/0.52 sk_c7 = inverse(identity) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f188,f315])).
% 0.24/0.52 fof(f315,plain,(
% 0.24/0.52 identity = sk_c1 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f191,f313])).
% 0.24/0.52 fof(f287,plain,(
% 0.24/0.52 sF3 = inverse(sk_c7) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f41,f286])).
% 0.24/0.52 fof(f467,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c7 != inverse(X5) | sk_c7 != X5) ) | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f466,f428])).
% 0.24/0.52 fof(f428,plain,(
% 0.24/0.52 ( ! [X3] : (multiply(X3,sk_c7) = X3) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f412,f413])).
% 0.24/0.52 fof(f413,plain,(
% 0.24/0.52 ( ! [X4,X5] : (multiply(X4,X5) = multiply(inverse(inverse(X4)),X5)) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f365,f365])).
% 0.24/0.52 fof(f365,plain,(
% 0.24/0.52 ( ! [X0,X1] : (multiply(inverse(X0),multiply(X0,X1)) = X1) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f364,f313])).
% 0.24/0.52 fof(f364,plain,(
% 0.24/0.52 ( ! [X0,X1] : (multiply(sk_c7,X1) = multiply(inverse(X0),multiply(X0,X1))) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f3,f344])).
% 0.24/0.52 fof(f344,plain,(
% 0.24/0.52 ( ! [X0] : (multiply(inverse(X0),X0) = sk_c7) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f2,f340])).
% 0.24/0.52 fof(f412,plain,(
% 0.24/0.52 ( ! [X3] : (multiply(inverse(inverse(X3)),sk_c7) = X3) ) | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f365,f344])).
% 0.24/0.52 fof(f466,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c7 != multiply(X5,sk_c7) | sk_c7 != inverse(X5)) ) | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f465,f286])).
% 0.24/0.52 fof(f465,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c7 != inverse(X5) | sk_c7 != multiply(X5,sk_c6)) ) | (~spl14_4 | ~spl14_6 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f105,f286])).
% 0.24/0.52 fof(f461,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f460])).
% 0.24/0.52 fof(f460,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f459])).
% 0.24/0.52 fof(f459,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(duplicate_literal_removal,[],[f455])).
% 0.24/0.52 fof(f455,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c7 != sk_c7 | (~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f429,f354])).
% 0.24/0.52 fof(f429,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != inverse(X6) | sk_c7 != X6) ) | (~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f407,f428])).
% 0.24/0.52 fof(f407,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != multiply(X6,sk_c7) | sk_c7 != inverse(X6)) ) | (~spl14_4 | ~spl14_9 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f117,f300])).
% 0.24/0.52 fof(f300,plain,(
% 0.24/0.52 sk_c7 = sk_c5 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f270,f286])).
% 0.24/0.52 fof(f393,plain,(
% 0.24/0.52 ~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f392])).
% 0.24/0.52 fof(f392,plain,(
% 0.24/0.52 $false | (~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f391])).
% 0.24/0.52 fof(f391,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f389,f313])).
% 0.24/0.52 fof(f389,plain,(
% 0.24/0.52 sk_c7 != multiply(sk_c7,sk_c7) | (~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f386])).
% 0.24/0.52 fof(f386,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | sk_c7 != multiply(sk_c7,sk_c7) | (~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(superposition,[],[f359,f354])).
% 0.24/0.52 fof(f359,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != multiply(X3,sk_c7)) ) | (~spl14_4 | ~spl14_10 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f121,f286])).
% 0.24/0.52 fof(f358,plain,(
% 0.24/0.52 ~spl14_4 | spl14_5 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f357])).
% 0.24/0.52 fof(f357,plain,(
% 0.24/0.52 $false | (~spl14_4 | spl14_5 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f356])).
% 0.24/0.52 fof(f356,plain,(
% 0.24/0.52 sk_c7 != sk_c7 | (~spl14_4 | spl14_5 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f102,f308])).
% 0.24/0.52 fof(f308,plain,(
% 0.24/0.52 sk_c7 = sF4 | (~spl14_4 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f282,f286])).
% 0.24/0.52 fof(f102,plain,(
% 0.24/0.52 sk_c7 != sF4 | spl14_5),
% 0.24/0.52 inference(avatar_component_clause,[],[f100])).
% 0.24/0.52 fof(f352,plain,(
% 0.24/0.52 ~spl14_4 | spl14_7 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f351])).
% 0.24/0.52 fof(f351,plain,(
% 0.24/0.52 $false | (~spl14_4 | spl14_7 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(global_subsumption,[],[f302,f346])).
% 0.24/0.52 fof(f302,plain,(
% 0.24/0.52 sk_c7 != sF3 | (~spl14_4 | spl14_7 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f273,f286])).
% 0.24/0.52 fof(f273,plain,(
% 0.24/0.52 sk_c6 != sF3 | (~spl14_4 | spl14_7 | ~spl14_11 | ~spl14_12 | ~spl14_13 | ~spl14_14)),
% 0.24/0.52 inference(backward_demodulation,[],[f109,f270])).
% 0.24/0.52 fof(f109,plain,(
% 0.24/0.52 sk_c5 != sF3 | spl14_7),
% 0.24/0.52 inference(avatar_component_clause,[],[f107])).
% 0.24/0.52 fof(f250,plain,(
% 0.24/0.52 ~spl14_8 | ~spl14_12 | ~spl14_14),
% 0.24/0.52 inference(avatar_contradiction_clause,[],[f249])).
% 0.24/0.52 fof(f249,plain,(
% 0.24/0.52 $false | (~spl14_8 | ~spl14_12 | ~spl14_14)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f248])).
% 0.24/0.52 fof(f248,plain,(
% 0.24/0.52 sk_c6 != sk_c6 | (~spl14_8 | ~spl14_12 | ~spl14_14)),
% 0.24/0.52 inference(forward_demodulation,[],[f213,f185])).
% 0.24/0.52 fof(f213,plain,(
% 0.24/0.52 sk_c6 != multiply(sk_c2,sk_c5) | (~spl14_8 | ~spl14_12)),
% 0.24/0.52 inference(trivial_inequality_removal,[],[f212])).
% 0.24/0.52 fof(f212,plain,(
% 0.24/0.52 sk_c6 != sk_c6 | sk_c6 != multiply(sk_c2,sk_c5) | (~spl14_8 | ~spl14_12)),
% 0.24/0.52 inference(superposition,[],[f113,f187])).
% 0.24/0.52 fof(f113,plain,(
% 0.24/0.52 ( ! [X4] : (sk_c6 != inverse(X4) | sk_c6 != multiply(X4,sk_c5)) ) | ~spl14_8),
% 0.24/0.52 inference(avatar_component_clause,[],[f112])).
% 0.24/0.52 fof(f112,plain,(
% 0.24/0.52 spl14_8 <=> ! [X4] : (sk_c6 != inverse(X4) | sk_c6 != multiply(X4,sk_c5))),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_8])])).
% 0.24/0.52 fof(f229,plain,(
% 0.24/0.52 ~spl14_21 | ~spl14_16 | ~spl14_8),
% 0.24/0.52 inference(avatar_split_clause,[],[f209,f112,f154,f226])).
% 0.24/0.52 fof(f209,plain,(
% 0.24/0.52 sk_c6 != sF11 | sk_c6 != multiply(sk_c3,sk_c5) | ~spl14_8),
% 0.24/0.52 inference(superposition,[],[f113,f60])).
% 0.24/0.52 fof(f184,plain,(
% 0.24/0.52 spl14_4 | spl14_5),
% 0.24/0.52 inference(avatar_split_clause,[],[f82,f100,f96])).
% 0.24/0.52 fof(f82,plain,(
% 0.24/0.52 sk_c7 = sF4 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f4,f43,f42])).
% 0.24/0.52 fof(f4,axiom,(
% 0.24/0.52 sk_c7 = mul% (24009)Refutation not found, SMT solver inside AVATAR returned Unknown% (24009)------------------------------
% 0.24/0.52 % (24009)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.52 % (24009)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.52 % (24009)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.24/0.52
% 0.24/0.52 % (24009)Memory used [KB]: 1023
% 0.24/0.52 % (24009)Time elapsed: 0.089 s
% 0.24/0.52 % (24009)------------------------------
% 0.24/0.52 % (24009)------------------------------
% 0.24/0.52 tiply(sk_c6,sk_c5) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_1)).
% 0.24/0.52 fof(f183,plain,(
% 0.24/0.52 spl14_14 | spl14_5),
% 0.24/0.52 inference(avatar_split_clause,[],[f81,f100,f139])).
% 0.24/0.52 fof(f81,plain,(
% 0.24/0.52 sk_c7 = sF4 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f28,f51,f42])).
% 0.24/0.52 fof(f28,axiom,(
% 0.24/0.52 sk_c7 = multiply(sk_c6,sk_c5) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_25)).
% 0.24/0.52 fof(f182,plain,(
% 0.24/0.52 spl14_5 | spl14_13),
% 0.24/0.52 inference(avatar_split_clause,[],[f80,f134,f100])).
% 0.24/0.52 fof(f80,plain,(
% 0.24/0.52 sk_c7 = sF8 | sk_c7 = sF4),
% 0.24/0.52 inference(definition_folding,[],[f16,f42,f49])).
% 0.24/0.52 fof(f16,axiom,(
% 0.24/0.52 sk_c7 = multiply(sk_c1,sk_c6) | sk_c7 = multiply(sk_c6,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_13)).
% 0.24/0.52 fof(f181,plain,(
% 0.24/0.52 spl14_4 | spl14_18),
% 0.24/0.52 inference(avatar_split_clause,[],[f79,f164,f96])).
% 0.24/0.52 fof(f79,plain,(
% 0.24/0.52 sk_c7 = sF13 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f6,f43,f64])).
% 0.24/0.52 fof(f6,axiom,(
% 0.24/0.52 sk_c7 = multiply(sk_c3,sk_c6) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_3)).
% 0.24/0.52 fof(f180,plain,(
% 0.24/0.52 spl14_14 | spl14_18),
% 0.24/0.52 inference(avatar_split_clause,[],[f78,f164,f139])).
% 0.24/0.52 fof(f78,plain,(
% 0.24/0.52 sk_c7 = sF13 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f30,f51,f64])).
% 0.24/0.52 fof(f30,axiom,(
% 0.24/0.52 sk_c7 = multiply(sk_c3,sk_c6) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_27)).
% 0.24/0.52 fof(f179,plain,(
% 0.24/0.52 spl14_13 | spl14_18),
% 0.24/0.52 inference(avatar_split_clause,[],[f77,f164,f134])).
% 0.24/0.52 fof(f77,plain,(
% 0.24/0.52 sk_c7 = sF13 | sk_c7 = sF8),
% 0.24/0.52 inference(definition_folding,[],[f18,f49,f64])).
% 0.24/0.52 fof(f18,axiom,(
% 0.24/0.52 sk_c7 = multiply(sk_c3,sk_c6) | sk_c7 = multiply(sk_c1,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_15)).
% 0.24/0.52 fof(f178,plain,(
% 0.24/0.52 spl14_4 | spl14_17),
% 0.24/0.52 inference(avatar_split_clause,[],[f76,f159,f96])).
% 0.24/0.52 fof(f76,plain,(
% 0.24/0.52 sk_c5 = sF12 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f8,f43,f62])).
% 0.24/0.52 fof(f8,axiom,(
% 0.24/0.52 sk_c5 = multiply(sk_c4,sk_c7) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_5)).
% 0.24/0.52 fof(f177,plain,(
% 0.24/0.52 spl14_14 | spl14_17),
% 0.24/0.52 inference(avatar_split_clause,[],[f75,f159,f139])).
% 0.24/0.52 fof(f75,plain,(
% 0.24/0.52 sk_c5 = sF12 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f32,f51,f62])).
% 0.24/0.52 fof(f32,axiom,(
% 0.24/0.52 sk_c5 = multiply(sk_c4,sk_c7) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_29)).
% 0.24/0.52 fof(f176,plain,(
% 0.24/0.52 spl14_13 | spl14_17),
% 0.24/0.52 inference(avatar_split_clause,[],[f74,f159,f134])).
% 0.24/0.52 fof(f74,plain,(
% 0.24/0.52 sk_c5 = sF12 | sk_c7 = sF8),
% 0.24/0.52 inference(definition_folding,[],[f20,f49,f62])).
% 0.24/0.52 fof(f20,axiom,(
% 0.24/0.52 sk_c5 = multiply(sk_c4,sk_c7) | sk_c7 = multiply(sk_c1,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_17)).
% 0.24/0.52 fof(f175,plain,(
% 0.24/0.52 spl14_5 | spl14_12),
% 0.24/0.52 inference(avatar_split_clause,[],[f73,f129,f100])).
% 0.24/0.52 fof(f73,plain,(
% 0.24/0.52 sk_c6 = sF7 | sk_c7 = sF4),
% 0.24/0.52 inference(definition_folding,[],[f22,f42,f47])).
% 0.24/0.52 fof(f22,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c2) | sk_c7 = multiply(sk_c6,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_19)).
% 0.24/0.52 fof(f174,plain,(
% 0.24/0.52 spl14_18 | spl14_12),
% 0.24/0.52 inference(avatar_split_clause,[],[f72,f129,f164])).
% 0.24/0.52 fof(f72,plain,(
% 0.24/0.52 sk_c6 = sF7 | sk_c7 = sF13),
% 0.24/0.52 inference(definition_folding,[],[f24,f64,f47])).
% 0.24/0.52 fof(f24,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c2) | sk_c7 = multiply(sk_c3,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_21)).
% 0.24/0.52 fof(f173,plain,(
% 0.24/0.52 spl14_17 | spl14_12),
% 0.24/0.52 inference(avatar_split_clause,[],[f71,f129,f159])).
% 0.24/0.52 fof(f71,plain,(
% 0.24/0.52 sk_c6 = sF7 | sk_c5 = sF12),
% 0.24/0.52 inference(definition_folding,[],[f26,f62,f47])).
% 0.24/0.52 fof(f26,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c2) | sk_c5 = multiply(sk_c4,sk_c7)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_23)).
% 0.24/0.52 fof(f172,plain,(
% 0.24/0.52 spl14_4 | spl14_16),
% 0.24/0.52 inference(avatar_split_clause,[],[f70,f154,f96])).
% 0.24/0.52 fof(f70,plain,(
% 0.24/0.52 sk_c6 = sF11 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f7,f43,f60])).
% 0.24/0.52 fof(f7,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c3) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_4)).
% 0.24/0.52 fof(f171,plain,(
% 0.24/0.52 spl14_14 | spl14_16),
% 0.24/0.52 inference(avatar_split_clause,[],[f69,f154,f139])).
% 0.24/0.52 fof(f69,plain,(
% 0.24/0.52 sk_c6 = sF11 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f31,f51,f60])).
% 0.24/0.52 fof(f31,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c3) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_28)).
% 0.24/0.52 fof(f170,plain,(
% 0.24/0.52 spl14_13 | spl14_16),
% 0.24/0.52 inference(avatar_split_clause,[],[f68,f154,f134])).
% 0.24/0.52 fof(f68,plain,(
% 0.24/0.52 sk_c6 = sF11 | sk_c7 = sF8),
% 0.24/0.52 inference(definition_folding,[],[f19,f49,f60])).
% 0.24/0.52 fof(f19,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c3) | sk_c7 = multiply(sk_c1,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_16)).
% 0.24/0.52 fof(f169,plain,(
% 0.24/0.52 spl14_12 | spl14_16),
% 0.24/0.52 inference(avatar_split_clause,[],[f67,f154,f129])).
% 0.24/0.52 fof(f67,plain,(
% 0.24/0.52 sk_c6 = sF11 | sk_c6 = sF7),
% 0.24/0.52 inference(definition_folding,[],[f25,f47,f60])).
% 0.24/0.52 fof(f25,axiom,(
% 0.24/0.52 sk_c6 = inverse(sk_c3) | sk_c6 = inverse(sk_c2)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_22)).
% 0.24/0.52 fof(f168,plain,(
% 0.24/0.52 spl14_5 | spl14_11),
% 0.24/0.52 inference(avatar_split_clause,[],[f66,f124,f100])).
% 0.24/0.52 fof(f66,plain,(
% 0.24/0.52 sk_c7 = sF6 | sk_c7 = sF4),
% 0.24/0.52 inference(definition_folding,[],[f10,f42,f45])).
% 0.24/0.52 fof(f10,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c1) | sk_c7 = multiply(sk_c6,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_7)).
% 0.24/0.52 fof(f167,plain,(
% 0.24/0.52 spl14_18 | spl14_11),
% 0.24/0.52 inference(avatar_split_clause,[],[f65,f124,f164])).
% 0.24/0.52 fof(f65,plain,(
% 0.24/0.52 sk_c7 = sF6 | sk_c7 = sF13),
% 0.24/0.52 inference(definition_folding,[],[f12,f64,f45])).
% 0.24/0.52 fof(f12,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c1) | sk_c7 = multiply(sk_c3,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_9)).
% 0.24/0.52 fof(f162,plain,(
% 0.24/0.52 spl14_17 | spl14_11),
% 0.24/0.52 inference(avatar_split_clause,[],[f63,f124,f159])).
% 0.24/0.52 fof(f63,plain,(
% 0.24/0.52 sk_c7 = sF6 | sk_c5 = sF12),
% 0.24/0.52 inference(definition_folding,[],[f14,f62,f45])).
% 0.24/0.52 fof(f14,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c1) | sk_c5 = multiply(sk_c4,sk_c7)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_11)).
% 0.24/0.52 fof(f157,plain,(
% 0.24/0.52 spl14_16 | spl14_11),
% 0.24/0.52 inference(avatar_split_clause,[],[f61,f124,f154])).
% 0.24/0.52 fof(f61,plain,(
% 0.24/0.52 sk_c7 = sF6 | sk_c6 = sF11),
% 0.24/0.52 inference(definition_folding,[],[f13,f60,f45])).
% 0.24/0.52 fof(f13,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c1) | sk_c6 = inverse(sk_c3)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_10)).
% 0.24/0.52 fof(f152,plain,(
% 0.24/0.52 spl14_4 | spl14_15),
% 0.24/0.52 inference(avatar_split_clause,[],[f59,f145,f96])).
% 0.24/0.52 fof(f59,plain,(
% 0.24/0.52 sk_c7 = sF10 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f9,f43,f54])).
% 0.24/0.52 fof(f9,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_6)).
% 0.24/0.52 fof(f151,plain,(
% 0.24/0.52 spl14_14 | spl14_15),
% 0.24/0.52 inference(avatar_split_clause,[],[f58,f145,f139])).
% 0.24/0.52 fof(f58,plain,(
% 0.24/0.52 sk_c7 = sF10 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f33,f51,f54])).
% 0.24/0.52 fof(f33,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_30)).
% 0.24/0.52 fof(f150,plain,(
% 0.24/0.52 spl14_13 | spl14_15),
% 0.24/0.52 inference(avatar_split_clause,[],[f57,f145,f134])).
% 0.24/0.52 fof(f57,plain,(
% 0.24/0.52 sk_c7 = sF10 | sk_c7 = sF8),
% 0.24/0.52 inference(definition_folding,[],[f21,f49,f54])).
% 0.24/0.52 fof(f21,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | sk_c7 = multiply(sk_c1,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_18)).
% 0.24/0.52 fof(f149,plain,(
% 0.24/0.52 spl14_12 | spl14_15),
% 0.24/0.52 inference(avatar_split_clause,[],[f56,f145,f129])).
% 0.24/0.52 fof(f56,plain,(
% 0.24/0.52 sk_c7 = sF10 | sk_c6 = sF7),
% 0.24/0.52 inference(definition_folding,[],[f27,f47,f54])).
% 0.24/0.52 fof(f27,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | sk_c6 = inverse(sk_c2)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_24)).
% 0.24/0.52 fof(f148,plain,(
% 0.24/0.52 spl14_11 | spl14_15),
% 0.24/0.52 inference(avatar_split_clause,[],[f55,f145,f124])).
% 0.24/0.52 fof(f55,plain,(
% 0.24/0.52 sk_c7 = sF10 | sk_c7 = sF6),
% 0.24/0.52 inference(definition_folding,[],[f15,f45,f54])).
% 0.24/0.52 fof(f15,axiom,(
% 0.24/0.52 sk_c7 = inverse(sk_c4) | sk_c7 = inverse(sk_c1)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_12)).
% 0.24/0.52 fof(f143,plain,(
% 0.24/0.52 spl14_4 | spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f53,f107,f96])).
% 0.24/0.52 fof(f53,plain,(
% 0.24/0.52 sk_c5 = sF3 | sk_c5 = sF5),
% 0.24/0.52 inference(definition_folding,[],[f5,f43,f41])).
% 0.24/0.52 fof(f5,axiom,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | multiply(sk_c6,sk_c7) = sk_c5),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_2)).
% 0.24/0.52 fof(f142,plain,(
% 0.24/0.52 spl14_14 | spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f52,f107,f139])).
% 0.24/0.52 fof(f52,plain,(
% 0.24/0.52 sk_c5 = sF3 | sk_c6 = sF9),
% 0.24/0.52 inference(definition_folding,[],[f29,f51,f41])).
% 0.24/0.52 fof(f29,axiom,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | sk_c6 = multiply(sk_c2,sk_c5)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_26)).
% 0.24/0.52 fof(f137,plain,(
% 0.24/0.52 spl14_13 | spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f50,f107,f134])).
% 0.24/0.52 fof(f50,plain,(
% 0.24/0.52 sk_c5 = sF3 | sk_c7 = sF8),
% 0.24/0.52 inference(definition_folding,[],[f17,f49,f41])).
% 0.24/0.52 fof(f17,axiom,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | sk_c7 = multiply(sk_c1,sk_c6)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_14)).
% 0.24/0.52 fof(f132,plain,(
% 0.24/0.52 spl14_12 | spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f48,f107,f129])).
% 0.24/0.52 fof(f48,plain,(
% 0.24/0.52 sk_c5 = sF3 | sk_c6 = sF7),
% 0.24/0.52 inference(definition_folding,[],[f23,f47,f41])).
% 0.24/0.52 fof(f23,axiom,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | sk_c6 = inverse(sk_c2)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_20)).
% 0.24/0.52 fof(f127,plain,(
% 0.24/0.52 spl14_11 | spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f46,f107,f124])).
% 0.24/0.52 fof(f46,plain,(
% 0.24/0.52 sk_c5 = sF3 | sk_c7 = sF6),
% 0.24/0.52 inference(definition_folding,[],[f11,f45,f41])).
% 0.24/0.52 fof(f11,axiom,(
% 0.24/0.52 sk_c5 = inverse(sk_c6) | sk_c7 = inverse(sk_c1)),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_8)).
% 0.24/0.52 fof(f122,plain,(
% 0.24/0.52 spl14_3 | spl14_10),
% 0.24/0.52 inference(avatar_split_clause,[],[f35,f120,f92])).
% 0.24/0.52 fof(f92,plain,(
% 0.24/0.52 spl14_3 <=> sP0),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_3])])).
% 0.24/0.52 fof(f35,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != multiply(X3,sk_c6) | sP0) )),
% 0.24/0.52 inference(cnf_transformation,[],[f35_D])).
% 0.24/0.52 fof(f35_D,plain,(
% 0.24/0.52 ( ! [X3] : (sk_c7 != inverse(X3) | sk_c7 != multiply(X3,sk_c6)) ) <=> ~sP0),
% 0.24/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])])).
% 0.24/0.52 fof(f118,plain,(
% 0.24/0.52 spl14_2 | spl14_9),
% 0.24/0.52 inference(avatar_split_clause,[],[f37,f116,f88])).
% 0.24/0.52 fof(f88,plain,(
% 0.24/0.52 spl14_2 <=> sP1),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_2])])).
% 0.24/0.52 fof(f37,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != inverse(X6) | sk_c5 != multiply(X6,sk_c7) | sP1) )),
% 0.24/0.52 inference(cnf_transformation,[],[f37_D])).
% 0.24/0.52 fof(f37_D,plain,(
% 0.24/0.52 ( ! [X6] : (sk_c7 != inverse(X6) | sk_c5 != multiply(X6,sk_c7)) ) <=> ~sP1),
% 0.24/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])])).
% 0.24/0.52 fof(f114,plain,(
% 0.24/0.52 spl14_1 | spl14_8),
% 0.24/0.52 inference(avatar_split_clause,[],[f39,f112,f84])).
% 0.24/0.52 fof(f84,plain,(
% 0.24/0.52 spl14_1 <=> sP2),
% 0.24/0.52 introduced(avatar_definition,[new_symbols(naming,[spl14_1])])).
% 0.24/0.52 fof(f39,plain,(
% 0.24/0.52 ( ! [X4] : (sk_c6 != inverse(X4) | sk_c6 != multiply(X4,sk_c5) | sP2) )),
% 0.24/0.52 inference(cnf_transformation,[],[f39_D])).
% 0.24/0.52 fof(f39_D,plain,(
% 0.24/0.52 ( ! [X4] : (sk_c6 != inverse(X4) | sk_c6 != multiply(X4,sk_c5)) ) <=> ~sP2),
% 0.24/0.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])])).
% 0.24/0.52 fof(f110,plain,(
% 0.24/0.52 ~spl14_1 | ~spl14_2 | ~spl14_3 | ~spl14_4 | ~spl14_5 | spl14_6 | ~spl14_7),
% 0.24/0.52 inference(avatar_split_clause,[],[f44,f107,f104,f100,f96,f92,f88,f84])).
% 0.24/0.52 fof(f44,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c5 != sF3 | sk_c6 != inverse(X5) | sk_c7 != sF4 | sk_c7 != multiply(X5,sk_c6) | sk_c5 != sF5 | ~sP0 | ~sP1 | ~sP2) )),
% 0.24/0.52 inference(definition_folding,[],[f40,f43,f42,f41])).
% 0.24/0.52 fof(f40,plain,(
% 0.24/0.52 ( ! [X5] : (sk_c5 != inverse(sk_c6) | sk_c6 != inverse(X5) | sk_c7 != multiply(sk_c6,sk_c5) | sk_c7 != multiply(X5,sk_c6) | multiply(sk_c6,sk_c7) != sk_c5 | ~sP0 | ~sP1 | ~sP2) )),
% 0.24/0.52 inference(general_splitting,[],[f38,f39_D])).
% 0.24/0.52 fof(f38,plain,(
% 0.24/0.52 ( ! [X4,X5] : (sk_c5 != inverse(sk_c6) | sk_c6 != inverse(X4) | sk_c6 != inverse(X5) | sk_c7 != multiply(sk_c6,sk_c5) | sk_c7 != multiply(X5,sk_c6) | sk_c6 != multiply(X4,sk_c5) | multiply(sk_c6,sk_c7) != sk_c5 | ~sP0 | ~sP1) )),
% 0.24/0.52 inference(general_splitting,[],[f36,f37_D])).
% 0.24/0.52 fof(f36,plain,(
% 0.24/0.52 ( ! [X6,X4,X5] : (sk_c5 != inverse(sk_c6) | sk_c7 != inverse(X6) | sk_c6 != inverse(X4) | sk_c6 != inverse(X5) | sk_c5 != multiply(X6,sk_c7) | sk_c7 != multiply(sk_c6,sk_c5) | sk_c7 != multiply(X5,sk_c6) | sk_c6 != multiply(X4,sk_c5) | multiply(sk_c6,sk_c7) != sk_c5 | ~sP0) )),
% 0.24/0.52 inference(general_splitting,[],[f34,f35_D])).
% 0.24/0.52 fof(f34,axiom,(
% 0.24/0.52 ( ! [X3,X6,X4,X5] : (sk_c5 != inverse(sk_c6) | sk_c7 != inverse(X6) | sk_c7 != inverse(X3) | sk_c6 != inverse(X4) | sk_c6 != inverse(X5) | sk_c5 != multiply(X6,sk_c7) | sk_c7 != multiply(sk_c6,sk_c5) | sk_c7 != multiply(X5,sk_c6) | sk_c7 != multiply(X3,sk_c6) | sk_c6 != multiply(X4,sk_c5) | multiply(sk_c6,sk_c7) != sk_c5) )),
% 0.24/0.52 file('/export/starexec/sandbox2/tmp/tmp.7dP5RjrnvJ/Vampire---4.8_23870',prove_this_31)).
% 0.24/0.52 % SZS output end Proof for Vampire---4
% 0.24/0.52 % (24010)------------------------------
% 0.24/0.52 % (24010)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.52 % (24010)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.52 % (24010)Termination reason: Refutation
% 0.24/0.52
% 0.24/0.52 % (24010)Memory used [KB]: 10874
% 0.24/0.52 % (24010)Time elapsed: 0.070 s
% 0.24/0.52 % (24010)------------------------------
% 0.24/0.52 % (24010)------------------------------
% 0.24/0.52 % (24006)Success in time 0.15 s
% 0.24/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------