TSTP Solution File: GRP026-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 16:19:09 EDT 2022

% Result   : Unsatisfiable 2.60s 0.67s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  289 (  33 unt;   0 def)
%            Number of atoms       :  772 ( 153 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  959 ( 476   ~; 471   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  13 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1443,plain,
    $false,
    inference(avatar_sat_refutation,[],[f70,f96,f109,f139,f150,f293,f318,f455,f505,f538,f587,f612,f645,f723,f754,f805,f827,f873,f996,f1007,f1013,f1085,f1130,f1135,f1179,f1232,f1264,f1314,f1350,f1377,f1411,f1442]) ).

fof(f1442,plain,
    ( ~ spl3_1
    | ~ spl3_9
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f1441]) ).

fof(f1441,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f1440,f29]) ).

fof(f29,axiom,
    product(g2,f,f,f),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_times_f_is_f) ).

fof(f1440,plain,
    ( ~ product(g2,f,f,f)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1439,f1250]) ).

fof(f1250,plain,
    ( f = sF0
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1247,f38]) ).

fof(f38,axiom,
    f = an_isomorphism(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_maps_to_f) ).

fof(f1247,plain,
    ( an_isomorphism(a) = sF0
    | ~ spl3_10 ),
    inference(superposition,[],[f46,f100]) ).

fof(f100,plain,
    ( a = d1
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl3_10
  <=> a = d1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f46,plain,
    an_isomorphism(d1) = sF0,
    introduced(function_definition,[]) ).

fof(f1439,plain,
    ( ~ product(g2,sF0,f,f)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1438,f1435]) ).

fof(f1435,plain,
    ( f = sF2
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1433,f38]) ).

fof(f1433,plain,
    ( an_isomorphism(a) = sF2
    | ~ spl3_9 ),
    inference(superposition,[],[f48,f95]) ).

fof(f95,plain,
    ( a = d3
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl3_9
  <=> a = d3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f48,plain,
    an_isomorphism(d3) = sF2,
    introduced(function_definition,[]) ).

fof(f1438,plain,
    ( ~ product(g2,sF0,f,sF2)
    | ~ spl3_1 ),
    inference(superposition,[],[f49,f1430]) ).

fof(f1430,plain,
    ( f = sF1
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f1426,f38]) ).

fof(f1426,plain,
    ( an_isomorphism(a) = sF1
    | ~ spl3_1 ),
    inference(superposition,[],[f47,f61]) ).

fof(f61,plain,
    ( a = d2
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl3_1
  <=> a = d2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f47,plain,
    an_isomorphism(d2) = sF1,
    introduced(function_definition,[]) ).

fof(f49,plain,
    ~ product(g2,sF0,sF1,sF2),
    inference(definition_folding,[],[f45,f48,f47,f46]) ).

fof(f45,axiom,
    ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product_holds_in_group2) ).

fof(f1411,plain,
    ( ~ spl3_3
    | ~ spl3_9
    | ~ spl3_10
    | spl3_12 ),
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_10
    | spl3_12 ),
    inference(subsumption_resolution,[],[f1244,f1390]) ).

fof(f1390,plain,
    ( a = c
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1367,f95]) ).

fof(f1367,plain,
    ( c = d3
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(resolution,[],[f1322,f23]) ).

fof(f23,axiom,
    product(g1,a,c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_c) ).

fof(f1322,plain,
    ( ! [X9] :
        ( ~ product(g1,a,c,X9)
        | d3 = X9 )
    | ~ spl3_3
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1321,f100]) ).

fof(f1321,plain,
    ( ! [X9] :
        ( ~ product(g1,d1,c,X9)
        | d3 = X9 )
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f176,f69]) ).

fof(f69,plain,
    ( c = d2
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl3_3
  <=> c = d2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f176,plain,
    ! [X9] :
      ( d3 = X9
      | ~ product(g1,d1,d2,X9) ),
    inference(resolution,[],[f9,f44]) ).

fof(f44,axiom,
    product(g1,d1,d2,d3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_times_d2_is_d3) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(X0,X1,X2,X4)
      | X3 = X4
      | ~ product(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).

fof(f1244,plain,
    ( a != c
    | ~ spl3_10
    | spl3_12 ),
    inference(forward_demodulation,[],[f107,f100]) ).

fof(f107,plain,
    ( c != d1
    | spl3_12 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl3_12
  <=> c = d1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f1377,plain,
    ( ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f1376]) ).

fof(f1376,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f1375,f32]) ).

fof(f32,axiom,
    product(g2,f,h,h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_times_h_is_h) ).

fof(f1375,plain,
    ( ~ product(g2,f,h,h)
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1374,f1250]) ).

fof(f1374,plain,
    ( ~ product(g2,sF0,h,h)
    | ~ spl3_3
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f1373,f1364]) ).

fof(f1364,plain,
    ( h = sF2
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f1361,f40]) ).

fof(f40,axiom,
    h = an_isomorphism(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_maps_to_h) ).

fof(f1361,plain,
    ( an_isomorphism(c) = sF2
    | ~ spl3_8 ),
    inference(superposition,[],[f48,f91]) ).

fof(f91,plain,
    ( c = d3
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl3_8
  <=> c = d3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f1373,plain,
    ( ~ product(g2,sF0,h,sF2)
    | ~ spl3_3 ),
    inference(superposition,[],[f49,f1332]) ).

fof(f1332,plain,
    ( h = sF1
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f1329,f40]) ).

fof(f1329,plain,
    ( an_isomorphism(c) = sF1
    | ~ spl3_3 ),
    inference(superposition,[],[f47,f69]) ).

fof(f1350,plain,
    ( spl3_2
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1349,plain,
    ( $false
    | spl3_2
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f1335,f1331]) ).

fof(f1331,plain,
    ( b != c
    | spl3_2
    | ~ spl3_3 ),
    inference(superposition,[],[f64,f69]) ).

fof(f64,plain,
    ( b != d2
    | spl3_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl3_2
  <=> b = d2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f1335,plain,
    ( b = c
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(resolution,[],[f1323,f23]) ).

fof(f1323,plain,
    ( ! [X9] :
        ( ~ product(g1,a,c,X9)
        | b = X9 )
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1322,f87]) ).

fof(f87,plain,
    ( b = d3
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl3_7
  <=> b = d3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f1314,plain,
    ( ~ spl3_1
    | spl3_9
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | ~ spl3_1
    | spl3_9
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f1308,f94]) ).

fof(f94,plain,
    ( a != d3
    | spl3_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f1308,plain,
    ( a = d3
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(resolution,[],[f1281,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ product(g1,a,a,X0)
      | a = X0 ),
    inference(resolution,[],[f9,f20]) ).

fof(f20,axiom,
    product(g1,a,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_a_is_a) ).

fof(f1281,plain,
    ( product(g1,a,a,d3)
    | ~ spl3_1
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f1103,f100]) ).

fof(f1103,plain,
    ( product(g1,d1,a,d3)
    | ~ spl3_1 ),
    inference(superposition,[],[f44,f61]) ).

fof(f1264,plain,
    ( ~ spl3_13
    | spl3_15 ),
    inference(avatar_contradiction_clause,[],[f1263]) ).

fof(f1263,plain,
    ( $false
    | ~ spl3_13
    | spl3_15 ),
    inference(subsumption_resolution,[],[f1257,f1199]) ).

fof(f1199,plain,
    ( g != h
    | ~ spl3_13
    | spl3_15 ),
    inference(superposition,[],[f137,f130]) ).

fof(f130,plain,
    ( h = identity_for(g2)
    | ~ spl3_13 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl3_13
  <=> h = identity_for(g2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f137,plain,
    ( g != identity_for(g2)
    | spl3_15 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl3_15
  <=> g = identity_for(g2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).

fof(f1257,plain,
    ( g = h
    | ~ spl3_13 ),
    inference(resolution,[],[f1195,f185]) ).

fof(f185,plain,
    ! [X18] :
      ( ~ product(g2,h,h,X18)
      | g = X18 ),
    inference(resolution,[],[f9,f37]) ).

fof(f37,axiom,
    product(g2,h,h,g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_times_h_is_g) ).

fof(f1195,plain,
    ( ! [X2] : product(g2,X2,h,X2)
    | ~ spl3_13 ),
    inference(superposition,[],[f3,f130]) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,identity_for(X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).

fof(f1232,plain,
    ( ~ spl3_1
    | ~ spl3_8
    | ~ spl3_11
    | spl3_12 ),
    inference(avatar_contradiction_clause,[],[f1231]) ).

fof(f1231,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_11
    | spl3_12 ),
    inference(subsumption_resolution,[],[f1227,f916]) ).

fof(f916,plain,
    ( b != c
    | ~ spl3_11
    | spl3_12 ),
    inference(forward_demodulation,[],[f107,f104]) ).

fof(f104,plain,
    ( b = d1
    | ~ spl3_11 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl3_11
  <=> b = d1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).

fof(f1227,plain,
    ( b = c
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(resolution,[],[f1181,f170]) ).

fof(f170,plain,
    ! [X3] :
      ( ~ product(g1,b,a,X3)
      | b = X3 ),
    inference(resolution,[],[f9,f22]) ).

fof(f22,axiom,
    product(g1,b,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_is_b) ).

fof(f1181,plain,
    ( product(g1,b,a,c)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f1180,f104]) ).

fof(f1180,plain,
    ( product(g1,d1,a,c)
    | ~ spl3_1
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f1103,f91]) ).

fof(f1179,plain,
    ( ~ spl3_1
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1178,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f1177,f31]) ).

fof(f31,axiom,
    product(g2,g,f,g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_times_f_is_g) ).

fof(f1177,plain,
    ( ~ product(g2,g,f,g)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f1176,f908]) ).

fof(f908,plain,
    ( g = sF0
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f897,f39]) ).

fof(f39,axiom,
    g = an_isomorphism(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_maps_to_g) ).

fof(f897,plain,
    ( an_isomorphism(b) = sF0
    | ~ spl3_11 ),
    inference(superposition,[],[f46,f104]) ).

fof(f1176,plain,
    ( ~ product(g2,sF0,f,g)
    | ~ spl3_1
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f1175,f1106]) ).

fof(f1106,plain,
    ( f = sF1
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f1104,f38]) ).

fof(f1104,plain,
    ( an_isomorphism(a) = sF1
    | ~ spl3_1 ),
    inference(superposition,[],[f47,f61]) ).

fof(f1175,plain,
    ( ~ product(g2,sF0,sF1,g)
    | ~ spl3_7 ),
    inference(superposition,[],[f49,f1152]) ).

fof(f1152,plain,
    ( g = sF2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f1148,f39]) ).

fof(f1148,plain,
    ( an_isomorphism(b) = sF2
    | ~ spl3_7 ),
    inference(superposition,[],[f48,f87]) ).

fof(f1135,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f1134]) ).

fof(f1134,plain,
    ( $false
    | ~ spl3_1
    | spl3_2
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f1133,f1105]) ).

fof(f1105,plain,
    ( a != b
    | ~ spl3_1
    | spl3_2 ),
    inference(superposition,[],[f64,f61]) ).

fof(f1133,plain,
    ( a = b
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f87,f95]) ).

fof(f1130,plain,
    ( ~ spl3_1
    | spl3_7
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f1129]) ).

fof(f1129,plain,
    ( $false
    | ~ spl3_1
    | spl3_7
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f1125,f1065]) ).

fof(f1065,plain,
    ( a != b
    | spl3_7
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f86,f95]) ).

fof(f86,plain,
    ( b != d3
    | spl3_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f1125,plain,
    ( a = b
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(resolution,[],[f1089,f170]) ).

fof(f1089,plain,
    ( product(g1,b,a,a)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f1088,f104]) ).

fof(f1088,plain,
    ( product(g1,d1,a,a)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f999,f61]) ).

fof(f999,plain,
    ( product(g1,d1,d2,a)
    | ~ spl3_9 ),
    inference(superposition,[],[f44,f95]) ).

fof(f1085,plain,
    ( ~ spl3_3
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f1084]) ).

fof(f1084,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f1083,f35]) ).

fof(f35,axiom,
    product(g2,g,h,f),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_times_h_is_f) ).

fof(f1083,plain,
    ( ~ product(g2,g,h,f)
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f1082,f908]) ).

fof(f1082,plain,
    ( ~ product(g2,sF0,h,f)
    | ~ spl3_3
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1081,f880]) ).

fof(f880,plain,
    ( h = sF1
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f876,f40]) ).

fof(f876,plain,
    ( an_isomorphism(c) = sF1
    | ~ spl3_3 ),
    inference(superposition,[],[f47,f69]) ).

fof(f1081,plain,
    ( ~ product(g2,sF0,sF1,f)
    | ~ spl3_9 ),
    inference(superposition,[],[f49,f1064]) ).

fof(f1064,plain,
    ( f = sF2
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1000,f38]) ).

fof(f1000,plain,
    ( an_isomorphism(a) = sF2
    | ~ spl3_9 ),
    inference(superposition,[],[f48,f95]) ).

fof(f1013,plain,
    ( ~ spl3_7
    | ~ spl3_9
    | spl3_10
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f1012]) ).

fof(f1012,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_9
    | spl3_10
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f997,f898]) ).

fof(f898,plain,
    ( a != b
    | spl3_10
    | ~ spl3_11 ),
    inference(superposition,[],[f99,f104]) ).

fof(f99,plain,
    ( a != d1
    | spl3_10 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f997,plain,
    ( a = b
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(superposition,[],[f95,f87]) ).

fof(f1007,plain,
    ( ~ spl3_7
    | ~ spl3_9
    | ~ spl3_14
    | spl3_15 ),
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_14
    | spl3_15 ),
    inference(subsumption_resolution,[],[f1005,f862]) ).

fof(f862,plain,
    ( f != g
    | ~ spl3_14
    | spl3_15 ),
    inference(superposition,[],[f137,f134]) ).

fof(f134,plain,
    ( f = identity_for(g2)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl3_14
  <=> f = identity_for(g2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f1005,plain,
    ( f = g
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1004,f38]) ).

fof(f1004,plain,
    ( g = an_isomorphism(a)
    | ~ spl3_7
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f1000,f972]) ).

fof(f972,plain,
    ( g = sF2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f968,f39]) ).

fof(f968,plain,
    ( an_isomorphism(b) = sF2
    | ~ spl3_7 ),
    inference(superposition,[],[f48,f87]) ).

fof(f996,plain,
    ( spl3_9
    | ~ spl3_3
    | ~ spl3_11 ),
    inference(avatar_split_clause,[],[f989,f102,f67,f93]) ).

fof(f989,plain,
    ( a = d3
    | ~ spl3_3
    | ~ spl3_11 ),
    inference(resolution,[],[f958,f172]) ).

fof(f172,plain,
    ! [X5] :
      ( ~ product(g1,b,c,X5)
      | a = X5 ),
    inference(resolution,[],[f9,f26]) ).

fof(f26,axiom,
    product(g1,b,c,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_c_is_a) ).

fof(f958,plain,
    ( product(g1,b,c,d3)
    | ~ spl3_3
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f896,f69]) ).

fof(f896,plain,
    ( product(g1,b,d2,d3)
    | ~ spl3_11 ),
    inference(superposition,[],[f44,f104]) ).

fof(f873,plain,
    ( ~ spl3_1
    | spl3_8
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f872]) ).

fof(f872,plain,
    ( $false
    | ~ spl3_1
    | spl3_8
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f868,f757]) ).

fof(f757,plain,
    ( a != c
    | spl3_8
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f90,f95]) ).

fof(f90,plain,
    ( c != d3
    | spl3_8 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f868,plain,
    ( a = c
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(resolution,[],[f833,f173]) ).

fof(f173,plain,
    ! [X6] :
      ( ~ product(g1,c,a,X6)
      | c = X6 ),
    inference(resolution,[],[f9,f24]) ).

fof(f24,axiom,
    product(g1,c,a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_a_is_c) ).

fof(f833,plain,
    ( product(g1,c,a,a)
    | ~ spl3_1
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f832,f108]) ).

fof(f108,plain,
    ( c = d1
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f832,plain,
    ( product(g1,d1,a,a)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f770,f61]) ).

fof(f770,plain,
    ( product(g1,d1,d2,a)
    | ~ spl3_9 ),
    inference(superposition,[],[f44,f95]) ).

fof(f827,plain,
    ( ~ spl3_3
    | spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f826]) ).

fof(f826,plain,
    ( $false
    | ~ spl3_3
    | spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f772,f820]) ).

fof(f820,plain,
    ( a = b
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(resolution,[],[f766,f175]) ).

fof(f175,plain,
    ! [X8] :
      ( ~ product(g1,c,c,X8)
      | b = X8 ),
    inference(resolution,[],[f9,f28]) ).

fof(f28,axiom,
    product(g1,c,c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_c_is_b) ).

fof(f766,plain,
    ( product(g1,c,c,a)
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f765,f108]) ).

fof(f765,plain,
    ( product(g1,d1,c,a)
    | ~ spl3_3
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f761,f95]) ).

fof(f761,plain,
    ( product(g1,d1,c,d3)
    | ~ spl3_3 ),
    inference(superposition,[],[f44,f69]) ).

fof(f772,plain,
    ( a != b
    | spl3_7
    | ~ spl3_9 ),
    inference(superposition,[],[f86,f95]) ).

fof(f805,plain,
    ( ~ spl3_3
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_15 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_15 ),
    inference(subsumption_resolution,[],[f798,f785]) ).

fof(f785,plain,
    ( ~ product(g2,h,h,f)
    | ~ spl3_3
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f784,f531]) ).

fof(f531,plain,
    ( h = sF0
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f528,f40]) ).

fof(f528,plain,
    ( an_isomorphism(c) = sF0
    | ~ spl3_12 ),
    inference(superposition,[],[f46,f108]) ).

fof(f784,plain,
    ( ~ product(g2,sF0,h,f)
    | ~ spl3_3
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f783,f775]) ).

fof(f775,plain,
    ( f = sF2
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f771,f38]) ).

fof(f771,plain,
    ( an_isomorphism(a) = sF2
    | ~ spl3_9 ),
    inference(superposition,[],[f48,f95]) ).

fof(f783,plain,
    ( ~ product(g2,sF0,h,sF2)
    | ~ spl3_3 ),
    inference(superposition,[],[f49,f768]) ).

fof(f768,plain,
    ( h = sF1
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f762,f40]) ).

fof(f762,plain,
    ( an_isomorphism(c) = sF1
    | ~ spl3_3 ),
    inference(superposition,[],[f47,f69]) ).

fof(f798,plain,
    ( product(g2,h,h,f)
    | ~ spl3_15 ),
    inference(superposition,[],[f37,f742]) ).

fof(f742,plain,
    ( f = g
    | ~ spl3_15 ),
    inference(resolution,[],[f178,f562]) ).

fof(f562,plain,
    ( ! [X2] : product(g2,X2,g,X2)
    | ~ spl3_15 ),
    inference(superposition,[],[f3,f138]) ).

fof(f138,plain,
    ( g = identity_for(g2)
    | ~ spl3_15 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f178,plain,
    ! [X11] :
      ( ~ product(g2,f,g,X11)
      | g = X11 ),
    inference(resolution,[],[f9,f30]) ).

fof(f30,axiom,
    product(g2,f,g,g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_times_g_is_g) ).

fof(f754,plain,
    ( ~ spl3_1
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f752,f33]) ).

fof(f33,axiom,
    product(g2,h,f,h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_times_f_is_h) ).

fof(f752,plain,
    ( ~ product(g2,h,f,h)
    | ~ spl3_1
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f746,f661]) ).

fof(f661,plain,
    ( h = sF2
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f658,f40]) ).

fof(f658,plain,
    ( an_isomorphism(c) = sF2
    | ~ spl3_8 ),
    inference(superposition,[],[f48,f91]) ).

fof(f746,plain,
    ( ~ product(g2,h,f,sF2)
    | ~ spl3_1
    | ~ spl3_12 ),
    inference(superposition,[],[f551,f732]) ).

fof(f732,plain,
    ( f = sF1
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f730,f38]) ).

fof(f730,plain,
    ( an_isomorphism(a) = sF1
    | ~ spl3_1 ),
    inference(superposition,[],[f47,f61]) ).

fof(f551,plain,
    ( ~ product(g2,h,sF1,sF2)
    | ~ spl3_12 ),
    inference(superposition,[],[f49,f531]) ).

fof(f723,plain,
    ( ~ spl3_3
    | ~ spl3_8
    | spl3_11
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_8
    | spl3_11
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f719,f530]) ).

fof(f530,plain,
    ( b != c
    | spl3_11
    | ~ spl3_12 ),
    inference(superposition,[],[f103,f108]) ).

fof(f103,plain,
    ( b != d1
    | spl3_11 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f719,plain,
    ( b = c
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(resolution,[],[f175,f655]) ).

fof(f655,plain,
    ( product(g1,c,c,c)
    | ~ spl3_3
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f654,f108]) ).

fof(f654,plain,
    ( product(g1,d1,c,c)
    | ~ spl3_3
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f650,f91]) ).

fof(f650,plain,
    ( product(g1,d1,c,d3)
    | ~ spl3_3 ),
    inference(superposition,[],[f44,f69]) ).

fof(f645,plain,
    ( ~ spl3_1
    | ~ spl3_7
    | spl3_11
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f644]) ).

fof(f644,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_7
    | spl3_11
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f640,f530]) ).

fof(f640,plain,
    ( b = c
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(resolution,[],[f616,f173]) ).

fof(f616,plain,
    ( product(g1,c,a,b)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f615,f108]) ).

fof(f615,plain,
    ( product(g1,d1,a,b)
    | ~ spl3_1
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f543,f61]) ).

fof(f543,plain,
    ( product(g1,d1,d2,b)
    | ~ spl3_7 ),
    inference(superposition,[],[f44,f87]) ).

fof(f612,plain,
    ( ~ spl3_3
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f611]) ).

fof(f611,plain,
    ( $false
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f610,f37]) ).

fof(f610,plain,
    ( ~ product(g2,h,h,g)
    | ~ spl3_3
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f609,f531]) ).

fof(f609,plain,
    ( ~ product(g2,sF0,h,g)
    | ~ spl3_3
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f608,f548]) ).

fof(f548,plain,
    ( g = sF2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f544,f39]) ).

fof(f544,plain,
    ( an_isomorphism(b) = sF2
    | ~ spl3_7 ),
    inference(superposition,[],[f48,f87]) ).

fof(f608,plain,
    ( ~ product(g2,sF0,h,sF2)
    | ~ spl3_3 ),
    inference(superposition,[],[f49,f607]) ).

fof(f607,plain,
    ( h = sF1
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f603,f40]) ).

fof(f603,plain,
    ( an_isomorphism(c) = sF1
    | ~ spl3_3 ),
    inference(superposition,[],[f47,f69]) ).

fof(f587,plain,
    ( ~ spl3_2
    | spl3_9
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f586]) ).

fof(f586,plain,
    ( $false
    | ~ spl3_2
    | spl3_9
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f581,f94]) ).

fof(f581,plain,
    ( a = d3
    | ~ spl3_2
    | ~ spl3_12 ),
    inference(resolution,[],[f540,f174]) ).

fof(f174,plain,
    ! [X7] :
      ( ~ product(g1,c,b,X7)
      | a = X7 ),
    inference(resolution,[],[f9,f27]) ).

fof(f27,axiom,
    product(g1,c,b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_times_b_is_a) ).

fof(f540,plain,
    ( product(g1,c,b,d3)
    | ~ spl3_2
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f110,f108]) ).

fof(f110,plain,
    ( product(g1,d1,b,d3)
    | ~ spl3_2 ),
    inference(superposition,[],[f44,f65]) ).

fof(f65,plain,
    ( b = d2
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f538,plain,
    ( ~ spl3_2
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f537,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f536,f36]) ).

fof(f36,axiom,
    product(g2,h,g,f),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_times_g_is_f) ).

fof(f536,plain,
    ( ~ product(g2,h,g,f)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f535,f531]) ).

fof(f535,plain,
    ( ~ product(g2,sF0,g,f)
    | ~ spl3_2
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f534,f113]) ).

fof(f113,plain,
    ( g = sF1
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f111,f39]) ).

fof(f111,plain,
    ( an_isomorphism(b) = sF1
    | ~ spl3_2 ),
    inference(superposition,[],[f47,f65]) ).

fof(f534,plain,
    ( ~ product(g2,sF0,sF1,f)
    | ~ spl3_9 ),
    inference(superposition,[],[f49,f525]) ).

fof(f525,plain,
    ( f = sF2
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f521,f38]) ).

fof(f521,plain,
    ( an_isomorphism(a) = sF2
    | ~ spl3_9 ),
    inference(superposition,[],[f48,f95]) ).

fof(f505,plain,
    ( ~ spl3_2
    | ~ spl3_7
    | ~ spl3_11
    | spl3_12 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f504,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_11
    | spl3_12 ),
    inference(subsumption_resolution,[],[f500,f413]) ).

fof(f413,plain,
    ( b != c
    | ~ spl3_11
    | spl3_12 ),
    inference(forward_demodulation,[],[f107,f104]) ).

fof(f500,plain,
    ( b = c
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(resolution,[],[f459,f171]) ).

fof(f171,plain,
    ! [X4] :
      ( ~ product(g1,b,b,X4)
      | c = X4 ),
    inference(resolution,[],[f9,f25]) ).

fof(f25,axiom,
    product(g1,b,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_b_is_c) ).

fof(f459,plain,
    ( product(g1,b,b,b)
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f458,f65]) ).

fof(f458,plain,
    ( product(g1,b,d2,b)
    | ~ spl3_7
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f423,f87]) ).

fof(f423,plain,
    ( product(g1,b,d2,d3)
    | ~ spl3_11 ),
    inference(superposition,[],[f44,f104]) ).

fof(f455,plain,
    ( ~ spl3_2
    | spl3_8
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f454,plain,
    ( $false
    | ~ spl3_2
    | spl3_8
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f450,f410]) ).

fof(f410,plain,
    ( a != c
    | spl3_8
    | ~ spl3_9 ),
    inference(forward_demodulation,[],[f90,f95]) ).

fof(f450,plain,
    ( a = c
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(resolution,[],[f428,f171]) ).

fof(f428,plain,
    ( product(g1,b,b,a)
    | ~ spl3_2
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f427,f65]) ).

fof(f427,plain,
    ( product(g1,b,d2,a)
    | ~ spl3_9
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f423,f95]) ).

fof(f318,plain,
    ( ~ spl3_2
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(subsumption_resolution,[],[f316,f34]) ).

fof(f34,axiom,
    product(g2,g,g,h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_times_g_is_h) ).

fof(f316,plain,
    ( ~ product(g2,g,g,h)
    | ~ spl3_2
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f315,f113]) ).

fof(f315,plain,
    ( ~ product(g2,g,sF1,h)
    | ~ spl3_8
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f314,f161]) ).

fof(f161,plain,
    ( h = sF2
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f159,f40]) ).

fof(f159,plain,
    ( an_isomorphism(c) = sF2
    | ~ spl3_8 ),
    inference(superposition,[],[f48,f91]) ).

fof(f314,plain,
    ( ~ product(g2,g,sF1,sF2)
    | ~ spl3_11 ),
    inference(superposition,[],[f49,f305]) ).

fof(f305,plain,
    ( g = sF0
    | ~ spl3_11 ),
    inference(forward_demodulation,[],[f303,f39]) ).

fof(f303,plain,
    ( an_isomorphism(b) = sF0
    | ~ spl3_11 ),
    inference(superposition,[],[f46,f104]) ).

fof(f293,plain,
    ( ~ spl3_2
    | spl3_7
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | ~ spl3_2
    | spl3_7
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f285,f86]) ).

fof(f285,plain,
    ( b = d3
    | ~ spl3_2
    | ~ spl3_10 ),
    inference(resolution,[],[f168,f151]) ).

fof(f151,plain,
    ( product(g1,a,b,d3)
    | ~ spl3_2
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f110,f100]) ).

fof(f168,plain,
    ! [X1] :
      ( ~ product(g1,a,b,X1)
      | b = X1 ),
    inference(resolution,[],[f9,f21]) ).

fof(f21,axiom,
    product(g1,a,b,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_b) ).

fof(f150,plain,
    ( ~ spl3_2
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f148,f30]) ).

fof(f148,plain,
    ( ~ product(g2,f,g,g)
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f147,f143]) ).

fof(f143,plain,
    ( f = sF0
    | ~ spl3_10 ),
    inference(forward_demodulation,[],[f141,f38]) ).

fof(f141,plain,
    ( an_isomorphism(a) = sF0
    | ~ spl3_10 ),
    inference(superposition,[],[f46,f100]) ).

fof(f147,plain,
    ( ~ product(g2,sF0,g,g)
    | ~ spl3_2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f146,f119]) ).

fof(f119,plain,
    ( g = sF2
    | ~ spl3_7 ),
    inference(forward_demodulation,[],[f117,f39]) ).

fof(f117,plain,
    ( an_isomorphism(b) = sF2
    | ~ spl3_7 ),
    inference(superposition,[],[f48,f87]) ).

fof(f146,plain,
    ( ~ product(g2,sF0,g,sF2)
    | ~ spl3_2 ),
    inference(superposition,[],[f49,f113]) ).

fof(f139,plain,
    ( spl3_13
    | spl3_14
    | spl3_15 ),
    inference(avatar_split_clause,[],[f125,f136,f132,f128]) ).

fof(f125,plain,
    ( g = identity_for(g2)
    | f = identity_for(g2)
    | h = identity_for(g2) ),
    inference(resolution,[],[f19,f1]) ).

fof(f1,axiom,
    ! [X0] : group_member(identity_for(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_in_group) ).

fof(f19,axiom,
    ! [X1] :
      ( ~ group_member(X1,g2)
      | g = X1
      | h = X1
      | f = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_of_group2) ).

fof(f109,plain,
    ( spl3_10
    | spl3_11
    | spl3_12 ),
    inference(avatar_split_clause,[],[f53,f106,f102,f98]) ).

fof(f53,plain,
    ( c = d1
    | b = d1
    | a = d1 ),
    inference(resolution,[],[f18,f41]) ).

fof(f41,axiom,
    group_member(d1,g1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_in_group1) ).

fof(f18,axiom,
    ! [X1] :
      ( ~ group_member(X1,g1)
      | c = X1
      | a = X1
      | b = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_of_group1) ).

fof(f96,plain,
    ( spl3_7
    | spl3_8
    | spl3_9 ),
    inference(avatar_split_clause,[],[f55,f93,f89,f85]) ).

fof(f55,plain,
    ( a = d3
    | c = d3
    | b = d3 ),
    inference(resolution,[],[f18,f43]) ).

fof(f43,axiom,
    group_member(d3,g1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_in_group1) ).

fof(f70,plain,
    ( spl3_1
    | spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f54,f67,f63,f59]) ).

fof(f54,plain,
    ( c = d2
    | b = d2
    | a = d2 ),
    inference(resolution,[],[f18,f42]) ).

fof(f42,axiom,
    group_member(d2,g1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_in_group1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n022.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Aug 29 22:09:56 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.43  % (30101)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.46  % (30121)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.46  % (30113)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.46  % (30120)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.47  % (30105)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.48  % (30110)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.48  % (30107)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.48  % (30108)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48  % (30112)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.49  % (30105)Instruction limit reached!
% 0.14/0.49  % (30105)------------------------------
% 0.14/0.49  % (30105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (30105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (30105)Termination reason: Unknown
% 0.14/0.49  % (30105)Termination phase: Saturation
% 0.14/0.49  
% 0.14/0.49  % (30105)Memory used [KB]: 5500
% 0.14/0.49  % (30105)Time elapsed: 0.082 s
% 0.14/0.49  % (30105)Instructions burned: 7 (million)
% 0.14/0.49  % (30105)------------------------------
% 0.14/0.49  % (30105)------------------------------
% 0.14/0.49  % (30103)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.50  % (30099)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.50  % (30098)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.14/0.50  % (30111)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.50  % (30100)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.50  % (30102)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50  % (30109)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.50  % (30106)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.50  % (30106)Instruction limit reached!
% 0.14/0.50  % (30106)------------------------------
% 0.14/0.50  % (30106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (30106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (30106)Termination reason: Unknown
% 0.14/0.50  % (30106)Termination phase: Blocked clause elimination
% 0.14/0.50  
% 0.14/0.50  % (30106)Memory used [KB]: 895
% 0.14/0.50  % (30106)Time elapsed: 0.003 s
% 0.14/0.50  % (30106)Instructions burned: 2 (million)
% 0.14/0.50  % (30106)------------------------------
% 0.14/0.50  % (30106)------------------------------
% 0.14/0.51  % (30104)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.51  % (30122)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.51  % (30126)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.51  TRYING [1]
% 0.14/0.51  TRYING [2]
% 0.14/0.51  TRYING [1]
% 0.14/0.51  TRYING [2]
% 0.14/0.52  TRYING [3]
% 0.14/0.52  % (30127)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.52  % (30125)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.14/0.52  % (30124)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.52  % (30099)Refutation not found, incomplete strategy% (30099)------------------------------
% 0.14/0.52  % (30099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52  % (30099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52  % (30099)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.52  
% 0.14/0.52  % (30099)Memory used [KB]: 5500
% 0.14/0.52  % (30099)Time elapsed: 0.165 s
% 0.14/0.52  % (30099)Instructions burned: 10 (million)
% 0.14/0.52  % (30099)------------------------------
% 0.14/0.52  % (30099)------------------------------
% 0.14/0.52  % (30119)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.53  % (30118)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.53  % (30114)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.53  % (30115)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.53  % (30116)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.53  % (30101)Instruction limit reached!
% 0.14/0.53  % (30101)------------------------------
% 0.14/0.53  % (30101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53  TRYING [3]
% 0.14/0.54  % (30117)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.54  % (30123)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.55  % (30101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55  % (30101)Termination reason: Unknown
% 0.14/0.55  % (30101)Termination phase: Saturation
% 0.14/0.55  
% 0.14/0.55  % (30101)Memory used [KB]: 6012
% 0.14/0.55  % (30101)Time elapsed: 0.184 s
% 0.14/0.55  % (30101)Instructions burned: 51 (million)
% 0.14/0.55  % (30101)------------------------------
% 0.14/0.55  % (30101)------------------------------
% 0.14/0.55  TRYING [1]
% 0.14/0.55  TRYING [2]
% 0.14/0.56  TRYING [3]
% 0.14/0.57  TRYING [4]
% 0.14/0.58  % (30100)Instruction limit reached!
% 0.14/0.58  % (30100)------------------------------
% 0.14/0.58  % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.58  % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.58  % (30100)Termination reason: Unknown
% 0.14/0.58  % (30100)Termination phase: Saturation
% 0.14/0.58  
% 0.14/0.58  % (30100)Memory used [KB]: 1407
% 0.14/0.58  % (30100)Time elapsed: 0.214 s
% 0.14/0.58  % (30100)Instructions burned: 38 (million)
% 0.14/0.58  % (30100)------------------------------
% 0.14/0.58  % (30100)------------------------------
% 2.20/0.59  TRYING [4]
% 2.20/0.59  % (30104)Instruction limit reached!
% 2.20/0.59  % (30104)------------------------------
% 2.20/0.59  % (30104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.59  % (30104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.59  % (30104)Termination reason: Unknown
% 2.20/0.59  % (30104)Termination phase: Finite model building constraint generation
% 2.20/0.59  
% 2.20/0.59  % (30104)Memory used [KB]: 7547
% 2.20/0.59  % (30104)Time elapsed: 0.244 s
% 2.20/0.59  % (30104)Instructions burned: 53 (million)
% 2.20/0.59  % (30104)------------------------------
% 2.20/0.59  % (30104)------------------------------
% 2.20/0.60  % (30112)Instruction limit reached!
% 2.20/0.60  % (30112)------------------------------
% 2.20/0.60  % (30112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.60  % (30112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.60  % (30112)Termination reason: Unknown
% 2.20/0.60  % (30112)Termination phase: Saturation
% 2.20/0.60  
% 2.20/0.60  % (30112)Memory used [KB]: 6396
% 2.20/0.60  % (30112)Time elapsed: 0.062 s
% 2.20/0.60  % (30112)Instructions burned: 69 (million)
% 2.20/0.60  % (30112)------------------------------
% 2.20/0.60  % (30112)------------------------------
% 2.20/0.61  % (30103)Instruction limit reached!
% 2.20/0.61  % (30103)------------------------------
% 2.20/0.61  % (30103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.61  % (30103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.61  % (30103)Termination reason: Unknown
% 2.20/0.61  % (30103)Termination phase: Saturation
% 2.20/0.61  
% 2.20/0.61  % (30103)Memory used [KB]: 5756
% 2.20/0.61  % (30103)Time elapsed: 0.260 s
% 2.20/0.61  % (30103)Instructions burned: 48 (million)
% 2.20/0.61  % (30103)------------------------------
% 2.20/0.61  % (30103)------------------------------
% 2.39/0.61  TRYING [4]
% 2.39/0.62  % (30107)Instruction limit reached!
% 2.39/0.62  % (30107)------------------------------
% 2.39/0.62  % (30107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.62  % (30107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.62  % (30107)Termination reason: Unknown
% 2.39/0.62  % (30107)Termination phase: Saturation
% 2.39/0.62  
% 2.39/0.62  % (30107)Memory used [KB]: 1407
% 2.39/0.62  % (30107)Time elapsed: 0.261 s
% 2.39/0.62  % (30107)Instructions burned: 52 (million)
% 2.39/0.62  % (30107)------------------------------
% 2.39/0.62  % (30107)------------------------------
% 2.39/0.62  % (30108)Instruction limit reached!
% 2.39/0.62  % (30108)------------------------------
% 2.39/0.62  % (30108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.62  % (30108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.62  % (30108)Termination reason: Unknown
% 2.39/0.62  % (30108)Termination phase: Saturation
% 2.39/0.62  
% 2.39/0.62  % (30108)Memory used [KB]: 5884
% 2.39/0.62  % (30108)Time elapsed: 0.249 s
% 2.39/0.62  % (30108)Instructions burned: 51 (million)
% 2.39/0.62  % (30108)------------------------------
% 2.39/0.62  % (30108)------------------------------
% 2.39/0.63  % (30113)Instruction limit reached!
% 2.39/0.63  % (30113)------------------------------
% 2.39/0.63  % (30113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.63  % (30113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.63  % (30113)Termination reason: Unknown
% 2.39/0.63  % (30113)Termination phase: Saturation
% 2.39/0.63  
% 2.39/0.63  % (30113)Memory used [KB]: 1535
% 2.39/0.63  % (30113)Time elapsed: 0.206 s
% 2.39/0.63  % (30113)Instructions burned: 75 (million)
% 2.39/0.63  % (30113)------------------------------
% 2.39/0.63  % (30113)------------------------------
% 2.39/0.63  % (30115)Instruction limit reached!
% 2.39/0.63  % (30115)------------------------------
% 2.39/0.63  % (30115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.63  % (30115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.63  % (30115)Termination reason: Unknown
% 2.39/0.63  % (30115)Termination phase: Finite model building constraint generation
% 2.39/0.63  
% 2.39/0.63  % (30115)Memory used [KB]: 7675
% 2.39/0.63  % (30115)Time elapsed: 0.267 s
% 2.39/0.63  % (30115)Instructions burned: 59 (million)
% 2.39/0.63  % (30115)------------------------------
% 2.39/0.63  % (30115)------------------------------
% 2.60/0.64  % (30102)Instruction limit reached!
% 2.60/0.64  % (30102)------------------------------
% 2.60/0.64  % (30102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.64  % (30102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.64  % (30102)Termination reason: Unknown
% 2.60/0.64  % (30102)Termination phase: Saturation
% 2.60/0.64  
% 2.60/0.64  % (30102)Memory used [KB]: 5756
% 2.60/0.64  % (30102)Time elapsed: 0.281 s
% 2.60/0.64  % (30102)Instructions burned: 52 (million)
% 2.60/0.64  % (30102)------------------------------
% 2.60/0.64  % (30102)------------------------------
% 2.60/0.64  % (30111)First to succeed.
% 2.60/0.67  % (30111)Refutation found. Thanks to Tanya!
% 2.60/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.60/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.67  % (30111)------------------------------
% 2.60/0.67  % (30111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (30111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (30111)Termination reason: Refutation
% 2.60/0.67  
% 2.60/0.67  % (30111)Memory used [KB]: 5884
% 2.60/0.67  % (30111)Time elapsed: 0.289 s
% 2.60/0.67  % (30111)Instructions burned: 63 (million)
% 2.60/0.67  % (30111)------------------------------
% 2.60/0.67  % (30111)------------------------------
% 2.60/0.67  % (30097)Success in time 0.36 s
%------------------------------------------------------------------------------