%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:26 AM UTC 2026
% Result : Unsatisfiable 2.80s 1.24s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 49
% Syntax : Number of formulae : 356 ( 19 unt; 19 def)
% Number of atoms : 1235 ( 329 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1704 ( 825 ~; 860 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c9 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f28]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f50]) ).
fof(f54,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f56]) ).
fof(f66,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f68]) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9
| multiply(X2,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(X3) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,X5) != sk_c8
| inverse(X4) != X5
| multiply(X5,sk_c7) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c8 != multiply(X5,sk_c7) ),
inference(reorient_equations,[],[f76]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) ),
inference(equality_resolution,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( inverse(sk_c8) != sk_c7
| spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_4
<=> ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_5
<=> ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( ! [X1] :
( sk_c7 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_6
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f78,f96,f93,f90,f86,f83,f80]) ).
fof(f100,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_8
<=> sk_c9 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f106,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f109,definition,
( spl0_9
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f111,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f114,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f119,definition,
( spl0_11
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f69,f104,f119]) ).
fof(f124,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f67,f104,f124]) ).
fof(f130,definition,
( spl0_13
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f132,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f136,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f57,f130,f119]) ).
fof(f137,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f55,f130,f124]) ).
fof(f140,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f51,f140,f100]) ).
fof(f144,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f49,f140,f109]) ).
fof(f145,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f47,f140,f114]) ).
fof(f146,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f45,f140,f119]) ).
fof(f147,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f43,f140,f124]) ).
fof(f148,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f41,f140,f86]) ).
fof(f150,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f151,plain,
( sk_c7 != multiply(sk_c2,sk_c8)
| spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f39,f150,f100]) ).
fof(f154,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f37,f150,f109]) ).
fof(f155,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f150,f114]) ).
fof(f158,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f29,f150,f86]) ).
fof(f160,definition,
( spl0_16
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f162,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f27,f160,f100]) ).
fof(f164,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f25,f160,f109]) ).
fof(f165,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f23,f160,f114]) ).
fof(f166,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f21,f160,f119]) ).
fof(f167,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f19,f160,f124]) ).
fof(f168,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f17,f160,f86]) ).
fof(f170,definition,
( spl0_17
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f172,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f15,f170,f100]) ).
fof(f174,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f170,f109]) ).
fof(f175,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f11,f170,f114]) ).
fof(f176,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f9,f170,f119]) ).
fof(f177,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f7,f170,f124]) ).
fof(f178,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f5,f170,f86]) ).
fof(f179,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f84,f121]) ).
fof(f200,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f162]) ).
fof(f201,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f3,f87]) ).
fof(f202,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f3,f126]) ).
fof(f204,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f3,f142]) ).
fof(f205,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f3,f132]) ).
fof(f219,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f172]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f102]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f152]) ).
fof(f226,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f219,f1]) ).
fof(f229,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f200]) ).
fof(f230,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f229,f1]) ).
fof(f242,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f230,f172]) ).
fof(f253,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f220,f242]) ).
fof(f257,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f253,f172]) ).
fof(f271,plain,
( multiply(sk_c2,sk_c8) = multiply(sk_c7,sk_c8)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f223,f257]) ).
fof(f274,plain,
( identity = multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f271,f201]) ).
fof(f276,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f274,f152]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1,f276]) ).
fof(f340,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f226,f242]) ).
fof(f341,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl0_12 ),
inference(superposition,[],[f226,f202]) ).
fof(f342,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl0_13 ),
inference(superposition,[],[f226,f205]) ).
fof(f343,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_14 ),
inference(superposition,[],[f226,f204]) ).
fof(f347,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f226,f116]) ).
fof(f349,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f226,f102]) ).
fof(f352,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f226,f152]) ).
fof(f362,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f352,f142]) ).
fof(f366,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f347,f111]) ).
fof(f369,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f343,f276]) ).
fof(f370,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f342,f276]) ).
fof(f371,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c7)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f341,f276]) ).
fof(f372,plain,
( identity = sk_c8
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f340,f3]) ).
fof(f381,plain,
( sk_c2 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f369,f87]) ).
fof(f382,plain,
( sk_c7 = sk_c2
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f381,f278]) ).
fof(f385,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f152,f382]) ).
fof(f387,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f385,f278]) ).
fof(f396,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f106,f387]) ).
fof(f407,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f226,f366]) ).
fof(f409,plain,
( identity = sk_c8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f407,f3]) ).
fof(f435,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f370,f387]) ).
fof(f442,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f371,f387]) ).
fof(f502,plain,
( sk_c4 = sk_c3
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f442,f435]) ).
fof(f510,definition,
( spl0_27
<=> sk_c9 = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f511,plain,
( sk_c9 = sk_c4
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f516,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f106,f502]) ).
fof(f518,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f516,f387]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1,f409]) ).
fof(f528,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f226,f362]) ).
fof(f530,plain,
( identity = sk_c7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f528,f3]) ).
fof(f532,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f530,f409]) ).
fof(f542,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f343,f409]) ).
fof(f543,plain,
( identity = sk_c2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f542,f3]) ).
fof(f544,plain,
( sk_c8 = sk_c2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f543,f409]) ).
fof(f548,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f142,f544]) ).
fof(f562,plain,
( sk_c8 = sk_c7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f372,f530]) ).
fof(f574,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f343,f530]) ).
fof(f575,plain,
( sk_c2 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f574,f562]) ).
fof(f576,plain,
( identity = sk_c2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f575,f3]) ).
fof(f577,plain,
( sk_c7 = sk_c2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f576,f530]) ).
fof(f578,plain,
( sk_c8 = sk_c2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f577,f562]) ).
fof(f582,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f142,f578]) ).
fof(f597,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f88,f582]) ).
fof(f601,plain,
( $false
| spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f597,f562]) ).
fof(f602,plain,
( spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f603,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f81,f562]) ).
fof(f606,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f518,f170,f160,f150,f140,f130,f124,f104,f86,f119]) ).
fof(f608,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f226,f121]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f121]) ).
fof(f610,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f608,f126]) ).
fof(f620,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f603,f142]) ).
fof(f630,definition,
( spl0_30
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f631,plain,
( sk_c8 = sk_c6
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f636,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f620,f257]) ).
fof(f642,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f636,f152]) ).
fof(f646,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f642,f562]) ).
fof(f647,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f648,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c8)
| sk_c9 != inverse(X2) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f91,f562]) ).
fof(f649,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f648,f170,f160,f150,f140,f90,f83]) ).
fof(f653,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f97,f172]) ).
fof(f655,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f657,plain,
( $false
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f655,f162]) ).
fof(f658,plain,
( ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f659,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f94,f562]) ).
fof(f674,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f659,f142]) ).
fof(f676,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f674]) ).
fof(f678,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f676,f152]) ).
fof(f681,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f678,f562]) ).
fof(f682,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f683,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f179]) ).
fof(f685,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f683,f119,f83,f124]) ).
fof(f760,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f84,f396]) ).
fof(f763,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f760]) ).
fof(f766,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f763,f132]) ).
fof(f767,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f771,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f3,f87]) ).
fof(f780,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f111]) ).
fof(f787,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f3,f126]) ).
fof(f795,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f81,f532]) ).
fof(f801,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f795,f3]) ).
fof(f804,plain,
( sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f801,f409]) ).
fof(f823,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f804,f87]) ).
fof(f827,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f823,f362]) ).
fof(f828,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f829,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c8)
| sk_c9 != inverse(X2) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f91,f532]) ).
fof(f830,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f829,f150,f140,f114,f109,f90,f83]) ).
fof(f832,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f548,f87]) ).
fof(f858,plain,
( ! [X0,X1] :
( sk_c8 != multiply(X0,multiply(X1,sk_c9))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_6 ),
inference(superposition,[],[f97,f4]) ).
fof(f904,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f226,f610]) ).
fof(f918,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(multiply(sk_c4,sk_c8))
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f858,f609]) ).
fof(f927,plain,
( sk_c9 != inverse(multiply(sk_c4,sk_c8))
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f918,f610]) ).
fof(f937,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f927,f121]) ).
fof(f1116,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_12
| ~ spl0_27 ),
inference(superposition,[],[f126,f511]) ).
fof(f1145,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1116,f937]) ).
fof(f1146,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1147,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f151,f544]) ).
fof(f1151,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f771,f409]) ).
fof(f1153,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_9
| ~ spl0_30 ),
inference(forward_demodulation,[],[f780,f631]) ).
fof(f1158,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f349,f631]) ).
fof(f1164,plain,
( sk_c8 != sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| spl0_15 ),
inference(forward_demodulation,[],[f1147,f526]) ).
fof(f1166,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1153,f526]) ).
fof(f1169,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1158,f3]) ).
fof(f1172,plain,
( sk_c8 = sk_c5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1166,f409]) ).
fof(f1174,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1169,f409]) ).
fof(f1175,plain,
( inverse(sk_c8) = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f111,f1172]) ).
fof(f1182,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1175,f631]) ).
fof(f1189,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c4,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(superposition,[],[f91,f126]) ).
fof(f1192,plain,
( sk_c9 != multiply(sk_c4,sk_c7)
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1189]) ).
fof(f1198,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f832,f1164]) ).
fof(f1199,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1210,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f222,f1151]) ).
fof(f1214,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1210,f366]) ).
fof(f1215,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1214,f526]) ).
fof(f1221,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1215,f114,f109,f100,f86,f630]) ).
fof(f1296,plain,
( sk_c8 = multiply(sk_c9,sk_c4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f787,f409]) ).
fof(f1297,plain,
( sk_c9 != multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1192,f1174]) ).
fof(f1298,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1297,f121]) ).
fof(f1299,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1300,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f81,f1174]) ).
fof(f1305,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f1300,f3]) ).
fof(f1310,plain,
( sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1305,f409]) ).
fof(f1317,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1310,f526]) ).
fof(f1323,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1317,f1182]) ).
fof(f1324,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1327,plain,
( ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c8) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f94,f1174]) ).
fof(f1329,plain,
( sk_c4 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f226,f1296]) ).
fof(f1332,plain,
( sk_c9 = sk_c4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1329,f904]) ).
fof(f1335,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1332,f124,f119,f114,f109,f510]) ).
fof(f1337,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f1327,f87]) ).
fof(f1342,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1337,f1174]) ).
fof(f1347,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1342,f526]) ).
fof(f1348,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s20,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s21,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s26,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f163]) ).
cnf(s27,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s28,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s31,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s32,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f173]) ).
cnf(s33,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f174]) ).
cnf(s34,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f175]) ).
cnf(s35,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f176]) ).
cnf(s36,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f177]) ).
cnf(s37,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f178]) ).
cnf(s48,plain,
( spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f602]) ).
cnf(s49,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f606]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f647]) ).
cnf(s54,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f649]) ).
cnf(s55,plain,
( ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f658]) ).
cnf(s57,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f682]) ).
cnf(s58,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f685]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f767]) ).
cnf(s64,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f828]) ).
cnf(s65,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f830]) ).
cnf(s82,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_27 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s85,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s88,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_30 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s90,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_30 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s95,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s98,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_27 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s101,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_30 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s102,plain,
spl0_3,
inference(rat,[],[s48,s19,s25,s31,s37]) ).
cnf(s104,plain,
( spl0_17
| ~ spl0_6 ),
inference(rat,[],[s98,s82,s33,s34,s35,s36]) ).
cnf(s105,plain,
( ~ spl0_17
| ~ spl0_6 ),
inference(rat,[],[s98,s82,s27,s28,s29,s30,s55]) ).
cnf(s106,plain,
~ spl0_6,
inference(rat,[],[s105,s104]) ).
cnf(s107,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s101,s88,s32,s33,s34,s102]) ).
cnf(s108,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s101,s88,s102]) ).
cnf(s109,plain,
( spl0_7
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s57,s14,s20,s107]) ).
cnf(s110,plain,
( spl0_10
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s57,s16,s22,s107]) ).
cnf(s111,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s57,s15,s21,s108,s110,s109,s107]) ).
cnf(s112,plain,
~ spl0_5,
inference(rat,[],[s108,s26,s27,s28,s111]) ).
cnf(s114,plain,
( spl0_14
| ~ spl0_7
| ~ spl0_10
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s90,s17,s18,s88,s102]) ).
cnf(s115,plain,
( ~ spl0_14
| ~ spl0_10
| ~ spl0_9
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s65,s85,s102]) ).
cnf(s116,plain,
( ~ spl0_10
| ~ spl0_9
| spl0_2
| ~ spl0_4 ),
inference(rat,[],[s114,s14,s115]) ).
cnf(s117,plain,
( spl0_10
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s54,s16,s22,s28,s34]) ).
cnf(s118,plain,
( ~ spl0_10
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s54,s15,s21,s27,s33,s116]) ).
cnf(s119,plain,
( ~ spl0_4
| spl0_2 ),
inference(rat,[],[s118,s117]) ).
cnf(s120,plain,
( spl0_1
| spl0_2 ),
inference(rat,[],[s119,s1,s106,s102,s112]) ).
cnf(s121,plain,
( spl0_12
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s60,s6,s12,s102]) ).
cnf(s122,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_17 ),
inference(rat,[],[s49,s5,s11,s102]) ).
cnf(s123,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_2
| ~ spl0_14
| ~ spl0_17 ),
inference(rat,[],[s58,s122,s121]) ).
cnf(s124,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s58,s29,s30]) ).
cnf(s125,plain,
( ~ spl0_14
| ~ spl0_17
| ~ spl0_9
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s123,s85,s124,s102]) ).
cnf(s127,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s58,s35,s36]) ).
cnf(s129,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s123,s15,s21,s124,s127]) ).
cnf(s130,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s123,s16,s22,s124,s127]) ).
cnf(s131,plain,
( ~ spl0_10
| ~ spl0_2
| ~ spl0_17
| ~ spl0_9 ),
inference(rat,[],[s58,s17,s18,s125]) ).
cnf(s132,plain,
~ spl0_2,
inference(rat,[],[s131,s130,s129,s127]) ).
cnf(s134,plain,
spl0_1,
inference(rat,[],[s120,s132]) ).
cnf(s135,plain,
( ~ spl0_14
| ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s64,s85,s102,s134]) ).
cnf(s136,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s95,s88,s102,s134]) ).
cnf(s137,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s136,s14,s135]) ).
cnf(s138,plain,
spl0_9,
inference(rat,[],[s53,s15,s21,s27,s33,s134]) ).
cnf(s139,plain,
~ spl0_10,
inference(rat,[],[s137,s138]) ).
cnf(s140,plain,
spl0_17,
inference(rat,[],[s34,s139]) ).
cnf(s141,plain,
spl0_16,
inference(rat,[],[s28,s139]) ).
cnf(s142,plain,
spl0_15,
inference(rat,[],[s22,s139]) ).
cnf(s143,plain,
spl0_14,
inference(rat,[],[s16,s139]) ).
cnf(s146,plain,
$false,
inference(rat,[],[s53,s140,s143,s134,s141,s142]) ).
fof(f1349,plain,
$false,
inference(avatar_sat_refutation,[],[s146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 09:43:07 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.24 % (3255983)Input is clausal, will run a generic CNF schedule.
% 2.80/1.24 % (3255988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3512932435:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/1.24 % (3255993)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3348341480:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/1.24 % (3255991)lrs+10_1_sil=8000:sp=occurrence:random_seed=4052889226:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/1.24 % (3255994)dis-21_1_sil=8000:lcm=predicate:random_seed=2926679160:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.80/1.24 % (3255989)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2335605318:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/1.24 % (3255990)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3476666528:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/1.24 % (3255994)Refutation not found, incomplete strategy
% 2.80/1.24 % (3255994)------------------------------
% 2.80/1.24 % (3255994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.24 % (3255994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.24 % (3255994)CaDiCaL version: 2.1.3
% 2.80/1.24 % (3255994)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.24 % (3255994)Time elapsed: 0.002 s
% 2.80/1.24 % (3255994)Peak memory usage: 88 MB
% 2.80/1.24 % (3255994)Instructions burned: 2 (million)
% 2.80/1.24 % (3255992)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3379850720:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/1.24 % (3255993)First to succeed.
% 2.80/1.24 % (3255993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3255983"
% 2.80/1.24 % (3255991)Instruction limit reached!
% 2.80/1.24 % (3255991)------------------------------
% 2.80/1.24 % (3255991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.24 % (3255991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.24 % (3255991)CaDiCaL version: 2.1.3
% 2.80/1.24 % (3255991)Termination reason: Instruction limit
% 2.80/1.24 % (3255991)Termination phase: Saturation
% 2.80/1.24 % (3255991)Time elapsed: 0.054 s
% 2.80/1.24 % (3255991)Peak memory usage: 89 MB
% 2.80/1.24 % (3255991)Instructions burned: 109 (million)
% 2.80/1.24 % (3255992)Instruction limit reached!
% 2.80/1.24 % (3255992)------------------------------
% 2.80/1.24 % (3255992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.24 % (3255992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.24 % (3255992)CaDiCaL version: 2.1.3
% 2.80/1.24 % (3255992)Termination reason: Instruction limit
% 2.80/1.24 % (3255992)Termination phase: Saturation
% 2.80/1.24 % (3255992)Time elapsed: 0.064 s
% 2.80/1.24 % (3255992)Peak memory usage: 89 MB
% 2.80/1.24 % (3255992)Instructions burned: 116 (million)
% 2.80/1.24 % (3256002)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2927373123:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.80/1.24 % (3256003)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1053442471:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.80/1.24 % (3255994)------------------------------
% 2.80/1.24 % (3255994)------------------------------
% 2.80/1.24 % (3256002)Instruction limit reached!
% 2.80/1.24 % (3256002)------------------------------
% 2.80/1.24 % (3256002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.24 % (3256002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.24 % (3256002)CaDiCaL version: 2.1.3
% 2.80/1.24 % (3256002)Termination reason: Instruction limit
% 2.80/1.24 % (3256002)Termination phase: Saturation
% 2.80/1.24 % (3256002)Time elapsed: 0.071 s
% 2.80/1.24 % (3256002)Peak memory usage: 90 MB
% 2.80/1.24 % (3256002)Instructions burned: 144 (million)
% 2.80/1.24 % (3255993)Refutation found. Thanks to Tanya!
% 2.80/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.80/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.43 % (3255993)------------------------------
% 3.59/1.43 % (3255993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.43 % (3255993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.43 % (3255993)CaDiCaL version: 2.1.3
% 3.59/1.43 % (3255993)Termination reason: Refutation
% 3.59/1.43 % (3255993)Time elapsed: 0.029 s
% 3.59/1.43 % (3255993)Peak memory usage: 89 MB
% 3.59/1.43 % (3255993)Instructions burned: 46 (million)
% 3.59/1.43 % (3255993)------------------------------
% 3.59/1.43 % (3255993)------------------------------
% 3.59/1.43 % (3255983)Success in time 0.426 s
% 3.59/1.43 % Vampire exiting
%------------------------------------------------------------------------------