%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP341-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 10:13:41 AM UTC 2026
% Result : Unsatisfiable 2.27s 1.16s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 54
% Syntax : Number of formulae : 346 ( 23 unt; 17 def)
% Number of atoms : 1145 ( 321 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1498 ( 699 ~; 782 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f71,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c5) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| inverse(X3) != sk_c6
| multiply(sk_c5,sk_c7) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6)
| sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c6 != inverse(sk_c5)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f75]) ).
fof(f78,definition,
( spl0_1
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_2
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl0_3
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( sk_c6 != inverse(sk_c5)
| spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_5
<=> ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_6
<=> ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( ! [X1] :
( sk_c6 != inverse(X1)
| sk_c6 != multiply(X1,sk_c5) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_7
<=> ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c6) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_8
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f103,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f76,f102,f99,f96,f93,f89,f86,f82,f78]) ).
fof(f107,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f108,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f107,f78]) ).
fof(f111,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f107,f82]) ).
fof(f113,definition,
( spl0_10
<=> sk_c6 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f115,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f118,definition,
( spl0_11
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f120,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f107,f89]) ).
fof(f124,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f64,f107,f124]) ).
fof(f129,definition,
( spl0_13
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f62,f107,f129]) ).
fof(f134,definition,
( spl0_14
<=> sk_c6 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f136,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f134,f78]) ).
fof(f138,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f134,f82]) ).
fof(f139,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f134,f113]) ).
fof(f140,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f134,f118]) ).
fof(f141,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f134,f89]) ).
fof(f142,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f134,f124]) ).
fof(f143,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f134,f129]) ).
fof(f145,definition,
( spl0_15
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f147,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f46,f145,f78]) ).
fof(f149,plain,
( spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f44,f145,f82]) ).
fof(f150,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f42,f145,f113]) ).
fof(f151,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f145,f118]) ).
fof(f152,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f145,f89]) ).
fof(f153,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f145,f124]) ).
fof(f154,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f145,f129]) ).
fof(f156,definition,
( spl0_16
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f158,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl0_1
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f156,f78]) ).
fof(f160,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f30,f156,f82]) ).
fof(f161,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f156,f113]) ).
fof(f162,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f156,f118]) ).
fof(f163,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f156,f89]) ).
fof(f164,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f156,f124]) ).
fof(f165,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f156,f129]) ).
fof(f166,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f102,f78]) ).
fof(f167,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f16,f102,f82]) ).
fof(f168,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f102,f113]) ).
fof(f169,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f102,f118]) ).
fof(f170,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f102,f89]) ).
fof(f171,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f8,f102,f124]) ).
fof(f172,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f6,f102,f129]) ).
fof(f173,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f3,f136]) ).
fof(f174,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f158]) ).
fof(f177,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f103]) ).
fof(f179,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f173]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f147]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f183,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f192,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f182,f109]) ).
fof(f195,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f180,f103]) ).
fof(f223,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_14 ),
inference(superposition,[],[f183,f173]) ).
fof(f224,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_16 ),
inference(superposition,[],[f183,f174]) ).
fof(f226,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_15 ),
inference(superposition,[],[f183,f147]) ).
fof(f235,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f226,f158]) ).
fof(f236,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f178,f235]) ).
fof(f239,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f236,f192]) ).
fof(f246,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f183,f239]) ).
fof(f248,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f246,f3]) ).
fof(f253,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f224,f248]) ).
fof(f256,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f253,f3]) ).
fof(f257,plain,
( sk_c7 = sk_c1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f256,f248]) ).
fof(f262,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f174,f257]) ).
fof(f265,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f262,f235]) ).
fof(f267,plain,
( sk_c6 = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f265,f248]) ).
fof(f270,plain,
( sk_c2 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f223,f265]) ).
fof(f272,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f270,f3]) ).
fof(f274,plain,
( sk_c7 = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f272,f248]) ).
fof(f275,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f195,f257]) ).
fof(f276,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f275,f235]) ).
fof(f294,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f276,f267]) ).
fof(f296,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f183,f294]) ).
fof(f298,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f296,f3]) ).
fof(f300,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f298,f248]) ).
fof(f302,plain,
( sk_c6 = sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f300,f267]) ).
fof(f305,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f80,f302]) ).
fof(f313,plain,
( sk_c7 != sk_c5
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f305,f192]) ).
fof(f314,plain,
( sk_c6 != sk_c7
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f313,f302]) ).
fof(f315,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f314,f267]) ).
fof(f316,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f317,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f79,f302]) ).
fof(f318,plain,
( sk_c6 != inverse(sk_c6)
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f91,f302]) ).
fof(f319,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f317,f267]) ).
fof(f320,plain,
( sk_c6 = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f274,f267]) ).
fof(f335,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f136,f320]) ).
fof(f336,plain,
( $false
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f335,f318]) ).
fof(f337,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f341,plain,
( sk_c6 != sk_c5
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f84,f239]) ).
fof(f343,plain,
( $false
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f341,f302]) ).
fof(f344,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f346,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c6) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f87,f302]) ).
fof(f358,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f346,f136]) ).
fof(f359,plain,
( sk_c6 != sk_c7
| sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f346,f158]) ).
fof(f362,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f365,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f359,f267]) ).
fof(f366,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f362,f320]) ).
fof(f367,plain,
( sk_c6 != sk_c7
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f365,f147]) ).
fof(f368,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f366,f319]) ).
fof(f369,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f370,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f367,f267]) ).
fof(f371,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f372,plain,
( ! [X2] :
( sk_c6 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f94,f267]) ).
fof(f373,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c6) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f372,f267]) ).
fof(f375,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f373,f136]) ).
fof(f379,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f383,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f379,f320]) ).
fof(f385,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f383,f319]) ).
fof(f386,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f422,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f3,f90]) ).
fof(f427,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f183,f79]) ).
fof(f428,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f4,f79]) ).
fof(f429,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f427,f90]) ).
fof(f430,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f183,f83]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f83]) ).
fof(f432,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f430,f90]) ).
fof(f433,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f183,f120]) ).
fof(f435,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f433,f115]) ).
fof(f436,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f183,f131]) ).
fof(f438,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f436,f126]) ).
fof(f445,plain,
( sk_c6 != sk_c6
| sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f87,f115]) ).
fof(f449,plain,
( sk_c5 != multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f452,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f449,f120]) ).
fof(f453,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f459,definition,
( spl0_18
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f460,plain,
( sk_c6 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f476,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f94,f126]) ).
fof(f481,plain,
( sk_c6 != multiply(sk_c3,sk_c7)
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f476]) ).
fof(f492,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f481,f131]) ).
fof(f493,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f499,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f97,f90]) ).
fof(f506,plain,
( sk_c6 != multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f525,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f428,f103]) ).
fof(f534,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f525,f235]) ).
fof(f536,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f534,f506]) ).
fof(f537,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f541,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f100,f90]) ).
fof(f544,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f100,f158]) ).
fof(f546,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl0_7
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f544]) ).
fof(f548,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f546,f147]) ).
fof(f549,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f553,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f429,f103]) ).
fof(f557,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f183,f429]) ).
fof(f559,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f557,f3]) ).
fof(f570,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f90,f553]) ).
fof(f610,plain,
( sk_c2 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f223,f570]) ).
fof(f617,plain,
( multiply(sk_c6,sk_c7) = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f610,f559]) ).
fof(f618,plain,
( sk_c5 = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f617,f103]) ).
fof(f619,plain,
( sk_c6 = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f618,f553]) ).
fof(f622,plain,
( sk_c6 != multiply(sk_c6,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_14 ),
inference(superposition,[],[f108,f619]) ).
fof(f627,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f622,f422]) ).
fof(f628,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f627,f559]) ).
fof(f630,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f431,f438]) ).
fof(f631,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f178,f438]) ).
fof(f635,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f631,f79]) ).
fof(f636,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f630,f432]) ).
fof(f638,plain,
( sk_c6 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f635,f429]) ).
fof(f639,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f636,f83]) ).
fof(f649,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f541,f79]) ).
fof(f651,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f628,f134,f107,f102,f89,f78,f459]) ).
fof(f652,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f638,f129,f124,f102,f89,f78,f459]) ).
fof(f653,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f639,f129,f124,f89,f82,f459]) ).
fof(f657,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f649,f99,f89,f78,f459]) ).
fof(f661,plain,
( sk_c6 != multiply(sk_c5,sk_c5)
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f664,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f661,f553]) ).
fof(f673,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f664,f432]) ).
fof(f685,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f673,f102,f96,f89,f82,f78,f459]) ).
fof(f692,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f104,f429]) ).
fof(f719,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f183,f435]) ).
fof(f721,plain,
( identity = sk_c5
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f719,f3]) ).
fof(f724,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f721,f559]) ).
fof(f727,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f724,f460]) ).
fof(f730,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f727,f692]) ).
fof(f731,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f730]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f110]) ).
cnf(s3,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f111]) ).
cnf(s6,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f122]) ).
cnf(s7,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s8,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s9,plain,
( spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s10,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s11,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s12,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s13,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s14,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s15,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s16,plain,
( spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s17,plain,
( spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s18,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s19,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s20,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s21,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s22,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s23,plain,
( spl0_1
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s24,plain,
( spl0_2
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s25,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s26,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f162]) ).
cnf(s27,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f163]) ).
cnf(s28,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s29,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s30,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f167]) ).
cnf(s32,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f168]) ).
cnf(s33,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f169]) ).
cnf(s34,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s35,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f171]) ).
cnf(s36,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f172]) ).
cnf(s37,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f316]) ).
cnf(s38,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f337]) ).
cnf(s39,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f344]) ).
cnf(s41,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f369]) ).
cnf(s42,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f371]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f386]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f453]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f493]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f537]) ).
cnf(s63,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f549]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f651]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f652]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f653]) ).
cnf(s72,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f657]) ).
cnf(s78,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f685]) ).
cnf(s83,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f731]) ).
cnf(s84,plain,
spl0_1,
inference(rat,[],[s37,s2,s9,s16,s23,s30]) ).
cnf(s85,plain,
spl0_2,
inference(rat,[],[s39,s3,s10,s17,s24,s31]) ).
cnf(s86,plain,
spl0_4,
inference(rat,[],[s38,s6,s13,s20,s27,s34]) ).
cnf(s87,plain,
spl0_8,
inference(rat,[],[s83,s70,s32,s33,s35,s36,s84,s86,s85]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_7 ),
inference(rat,[],[s63,s22,s29]) ).
cnf(s89,plain,
~ spl0_7,
inference(rat,[],[s63,s21,s28,s69,s88,s72,s84,s86,s87]) ).
cnf(s90,plain,
( spl0_13
| ~ spl0_6 ),
inference(rat,[],[s62,s22,s29,s84,s86,s87]) ).
cnf(s91,plain,
~ spl0_6,
inference(rat,[],[s62,s21,s28,s69,s90,s78,s84,s86,s87,s85]) ).
cnf(s92,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s44,s8,s15,s22,s29,s84,s87]) ).
cnf(s93,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(rat,[],[s44,s7,s14,s21,s28,s58,s87,s84]) ).
cnf(s94,plain,
~ spl0_5,
inference(rat,[],[s93,s92]) ).
cnf(s95,plain,
spl0_3,
inference(rat,[],[s1,s87,s89,s86,s91,s85,s84,s94]) ).
cnf(s97,plain,
spl0_13,
inference(rat,[],[s41,s8,s15,s22,s29,s84,s87,s95]) ).
cnf(s98,plain,
spl0_14,
inference(rat,[],[s52,s11,s12,s95]) ).
cnf(s99,plain,
spl0_16,
inference(rat,[],[s52,s25,s26,s95]) ).
cnf(s100,plain,
spl0_15,
inference(rat,[],[s52,s18,s19,s95]) ).
cnf(s101,plain,
~ spl0_9,
inference(rat,[],[s42,s99,s98,s87,s95,s100]) ).
cnf(s102,plain,
spl0_12,
inference(rat,[],[s7,s101]) ).
cnf(s105,plain,
~ spl0_18,
inference(rat,[],[s68,s98,s87,s86,s84,s101]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s69,s87,s97,s86,s84,s102,s105]) ).
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP341-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:54:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/1.16 % (1786630)Input is clausal, will run a generic CNF schedule.
% 2.27/1.16 % (1786640)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3645630834:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.27/1.16 % (1786640)First to succeed.
% 2.27/1.16 % (1786640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1786630"
% 2.27/1.16 % (1786637)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4212620671:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.27/1.16 % (1786636)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3791747891:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.27/1.16 % (1786635)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=1350819544:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.27/1.16 % (1786638)lrs+10_1_sil=8000:sp=occurrence:random_seed=2087282341:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.27/1.16 % (1786639)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=479874620:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.27/1.16 % (1786638)Refutation not found, incomplete strategy
% 2.27/1.16 % (1786638)------------------------------
% 2.27/1.16 % (1786638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.16 % (1786638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.16 % (1786638)CaDiCaL version: 2.1.3
% 2.27/1.16 % (1786638)Termination reason: Refutation not found, incomplete strategy
% 2.27/1.16 % (1786638)Time elapsed: 0.003 s
% 2.27/1.16 % (1786638)Peak memory usage: 88 MB
% 2.27/1.16 % (1786638)Instructions burned: 3 (million)
% 2.27/1.16 % (1786641)dis-21_1_sil=8000:lcm=predicate:random_seed=3447274725: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)
% 2.27/1.16 % (1786641)Refutation not found, incomplete strategy
% 2.27/1.16 % (1786641)------------------------------
% 2.27/1.16 % (1786641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.16 % (1786641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.16 % (1786641)CaDiCaL version: 2.1.3
% 2.27/1.16 % (1786641)Termination reason: Refutation not found, incomplete strategy
% 2.27/1.16 % (1786641)Time elapsed: 0.002 s
% 2.27/1.16 % (1786641)Peak memory usage: 88 MB
% 2.27/1.16 % (1786641)Instructions burned: 1 (million)
% 2.27/1.16 % (1786639)Instruction limit reached!
% 2.27/1.16 % (1786639)------------------------------
% 2.27/1.16 % (1786639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.16 % (1786639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.16 % (1786639)CaDiCaL version: 2.1.3
% 2.27/1.16 % (1786639)Termination reason: Instruction limit
% 2.27/1.16 % (1786639)Termination phase: Saturation
% 2.27/1.16 % (1786639)Time elapsed: 0.069 s
% 2.27/1.16 % (1786639)Peak memory usage: 89 MB
% 2.27/1.16 % (1786639)Instructions burned: 116 (million)
% 2.27/1.16 % (1786640)Refutation found. Thanks to Tanya!
% 2.27/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.27/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.36 % (1786640)------------------------------
% 2.71/1.36 % (1786640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.36 % (1786640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.36 % (1786640)CaDiCaL version: 2.1.3
% 2.71/1.36 % (1786640)Termination reason: Refutation
% 2.71/1.36 % (1786640)Time elapsed: 0.010 s
% 2.71/1.36 % (1786640)Peak memory usage: 90 MB
% 2.71/1.36 % (1786640)Instructions burned: 25 (million)
% 2.71/1.36 % (1786640)------------------------------
% 2.71/1.36 % (1786640)------------------------------
% 2.71/1.36 % (1786630)Success in time 0.301 s
% 2.71/1.36 % Vampire exiting
%------------------------------------------------------------------------------