%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP364-1 : 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 : n017.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 10:13:45 AM UTC 2026
% Result : Unsatisfiable 2.36s 1.06s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 56
% Syntax : Number of formulae : 337 ( 20 unt; 16 def)
% Number of atoms : 1106 ( 345 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1423 ( 654 ~; 753 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 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_c7,sk_c9) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c7 = inverse(sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c3)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| multiply(sk_c9,X0) != sk_c8
| multiply(X1,sk_c9) != X0
| inverse(X1) != sk_c9
| multiply(X2,sk_c7) != sk_c9
| inverse(X2) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(X3,sk_c9) != sk_c8
| inverse(X3) != sk_c9
| multiply(sk_c9,X4) != sk_c8
| multiply(X5,sk_c9) != X4
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X0)
| multiply(X1,sk_c9) != X0
| sk_c9 != inverse(X1)
| sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
| sk_c9 != inverse(X1)
| sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f78]) ).
fof(f80,plain,
! [X2,X3,X1,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
| sk_c9 != inverse(X1)
| sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f79]) ).
fof(f82,definition,
( spl0_1
<=> ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f83,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f86,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( sk_c7 != multiply(sk_c9,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_4
<=> ! [X2] :
( sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f93,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl0_5
<=> multiply(sk_c7,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f96,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c9) != sk_c8
| spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f80,f95,f82,f92,f88,f85,f82]) ).
fof(f100,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f102,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_7
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f76,f104,f100]) ).
fof(f109,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f111,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f104,f109]) ).
fof(f114,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c9,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f72,f104,f114]) ).
fof(f119,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f121,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f70,f104,f119]) ).
fof(f124,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f126,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f68,f104,f124]) ).
fof(f128,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f104,f88]) ).
fof(f130,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f132,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f64,f130,f100]) ).
fof(f134,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f62,f130,f109]) ).
fof(f135,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f60,f130,f114]) ).
fof(f136,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f58,f130,f119]) ).
fof(f137,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f56,f130,f124]) ).
fof(f138,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f130,f88]) ).
fof(f140,definition,
( spl0_13
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f142,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f140,f100]) ).
fof(f144,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f140,f109]) ).
fof(f145,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f140,f114]) ).
fof(f146,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f140,f119]) ).
fof(f147,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f140,f124]) ).
fof(f148,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f140,f88]) ).
fof(f150,definition,
( spl0_14
<=> sk_c2 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f152,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f150,f100]) ).
fof(f154,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f150,f109]) ).
fof(f155,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f150,f114]) ).
fof(f156,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f150,f119]) ).
fof(f157,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f150,f124]) ).
fof(f158,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f150,f88]) ).
fof(f160,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c9,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f160,f100]) ).
fof(f164,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f160,f109]) ).
fof(f165,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f160,f114]) ).
fof(f166,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f160,f119]) ).
fof(f167,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f160,f124]) ).
fof(f168,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f160,f88]) ).
fof(f169,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f95,f100]) ).
fof(f170,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f95,f109]) ).
fof(f171,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f95,f114]) ).
fof(f172,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f95,f119]) ).
fof(f173,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f95,f124]) ).
fof(f174,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f95,f88]) ).
fof(f175,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f102]) ).
fof(f176,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f121]) ).
fof(f179,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f89]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f116]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f126]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f111]) ).
fof(f184,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f179,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f175]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f191,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f188,f111]) ).
fof(f197,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f191,f116]) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f182,f197]) ).
fof(f209,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f183,f89]) ).
fof(f219,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f209,f197]) ).
fof(f231,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f205,f176]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c9),multiply(sk_c8,X0))
| ~ spl0_9 ),
inference(superposition,[],[f184,f181]) ).
fof(f252,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f184,f116]) ).
fof(f253,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl0_6 ),
inference(superposition,[],[f184,f175]) ).
fof(f254,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f184,f126]) ).
fof(f267,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f254,f197]) ).
fof(f268,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f252,f197]) ).
fof(f271,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c9),multiply(sk_c9,X0))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f248,f197]) ).
fof(f273,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f267,f121]) ).
fof(f274,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f268,f3]) ).
fof(f275,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f271,f184]) ).
fof(f277,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f231,f274]) ).
fof(f286,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f273]) ).
fof(f288,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f286,f3]) ).
fof(f296,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f277]) ).
fof(f299,plain,
( sk_c6 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f296,f121]) ).
fof(f300,plain,
( sk_c8 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f299,f116]) ).
fof(f301,plain,
( sk_c9 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f300,f197]) ).
fof(f325,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f253,f274]) ).
fof(f326,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f325,f301]) ).
fof(f327,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f326,f3]) ).
fof(f328,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f327,f274]) ).
fof(f329,plain,
( sk_c9 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f328,f301]) ).
fof(f355,plain,
( sk_c9 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f219,f275]) ).
fof(f356,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f355,f329]) ).
fof(f359,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f184,f356]) ).
fof(f361,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f359,f3]) ).
fof(f363,plain,
( sk_c7 = sk_c9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f361,f288]) ).
fof(f370,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f97,f363]) ).
fof(f371,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f370,f273]) ).
fof(f373,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f371,f197]) ).
fof(f374,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f375,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c9)
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f93,f363]) ).
fof(f377,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f375,f363]) ).
fof(f379,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f377,f102]) ).
fof(f384,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f389,plain,
( sk_c9 != sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f384,f111]) ).
fof(f390,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f389,f301]) ).
fof(f391,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f392,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f83,f197]) ).
fof(f393,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f392,f102]) ).
fof(f398,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f401,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f398,f188]) ).
fof(f402,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f408,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f86,f197]) ).
fof(f410,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f408,f102]) ).
fof(f415,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f410]) ).
fof(f420,plain,
( sk_c9 != sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f415,f111]) ).
fof(f421,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f420,f301]) ).
fof(f422,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f425,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f106]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f96]) ).
fof(f430,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f184,f132]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f132]) ).
fof(f432,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f430,f106]) ).
fof(f433,plain,
( sk_c7 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f432,f96]) ).
fof(f434,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_14 ),
inference(superposition,[],[f184,f152]) ).
fof(f436,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f434,f142]) ).
fof(f442,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f425,f433]) ).
fof(f443,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c8)
| sk_c7 != inverse(X2) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f93,f433]) ).
fof(f444,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c9 != multiply(X2,sk_c8) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f443,f433]) ).
fof(f450,plain,
( sk_c7 != sk_c8
| sk_c9 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f444,f106]) ).
fof(f457,definition,
( spl0_17
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f458,plain,
( sk_c9 = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,plain,
( sk_c9 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f450,f433]) ).
fof(f467,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c9,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f180,f442]) ).
fof(f471,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c9,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f467,f433]) ).
fof(f472,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f471,f442]) ).
fof(f496,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f429,f433]) ).
fof(f508,plain,
( sk_c9 != multiply(sk_c3,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f461,f458]) ).
fof(f526,plain,
( sk_c9 = sk_c8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f162,f436]) ).
fof(f529,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f184,f436]) ).
fof(f531,plain,
( identity = sk_c2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f529,f3]) ).
fof(f540,plain,
( spl0_17
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f526,f160,f150,f140,f457]) ).
fof(f547,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f431,f433]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f547,f458]) ).
fof(f576,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f496,f458]) ).
fof(f583,plain,
( sk_c9 = multiply(sk_c3,sk_c9)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f548,f436]) ).
fof(f593,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f583,f508]) ).
fof(f594,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f604,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f83,f458]) ).
fof(f607,plain,
( sk_c2 = multiply(sk_c9,sk_c2)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f472,f531]) ).
fof(f611,plain,
( sk_c8 = sk_c2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f607,f162]) ).
fof(f613,plain,
( sk_c9 = sk_c2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f611,f458]) ).
fof(f630,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c1,sk_c9))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f604,f142]) ).
fof(f631,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c1,sk_c9))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f630]) ).
fof(f633,plain,
( sk_c9 != multiply(sk_c9,sk_c2)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f631,f152]) ).
fof(f635,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f633,f436]) ).
fof(f636,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f638,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f86,f458]) ).
fof(f644,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f638,f142]) ).
fof(f645,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f644]) ).
fof(f647,plain,
( sk_c9 != sk_c2
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f645,f152]) ).
fof(f649,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f647,f613]) ).
fof(f650,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f652,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f90,f458]) ).
fof(f653,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f652,f433]) ).
fof(f654,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f653,f458]) ).
fof(f689,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f576,f162]) ).
fof(f701,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f689,f458]) ).
fof(f708,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f701,f654]) ).
fof(f709,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f708]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f98]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f112]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f122]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f127]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f128]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f134]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f135]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f136]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f137]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f138]) ).
cnf(s15,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f143]) ).
cnf(s16,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f144]) ).
cnf(s17,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s19,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f147]) ).
cnf(s20,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f153]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s23,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f155]) ).
cnf(s24,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f156]) ).
cnf(s25,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f157]) ).
cnf(s26,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f158]) ).
cnf(s27,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s28,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f164]) ).
cnf(s29,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f165]) ).
cnf(s30,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f166]) ).
cnf(s31,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f167]) ).
cnf(s32,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f168]) ).
cnf(s33,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f169]) ).
cnf(s34,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s35,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f171]) ).
cnf(s36,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s37,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f173]) ).
cnf(s38,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f174]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f374]) ).
cnf(s42,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f391]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f402]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f422]) ).
cnf(s59,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f540]) ).
cnf(s61,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f594]) ).
cnf(s65,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f636]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f650]) ).
cnf(s69,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f709]) ).
cnf(s73,plain,
spl0_3,
inference(rat,[],[s59,s69,s8,s14,s20,s26,s32,s38]) ).
cnf(s74,plain,
spl0_5,
inference(rat,[],[s39,s33,s34,s35,s36,s37,s73]) ).
cnf(s75,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s61,s59,s13,s19,s25,s31,s74]) ).
cnf(s76,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s61,s59,s12,s18,s24,s30,s74]) ).
cnf(s77,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s61,s59,s11,s17,s23,s29,s74]) ).
cnf(s78,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s61,s59,s10,s16,s22,s28,s42,s77,s76,s75,s74,s73]) ).
cnf(s79,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s42,s4,s5,s6,s7,s78,s73]) ).
cnf(s80,plain,
~ spl0_4,
inference(rat,[],[s61,s59,s3,s9,s15,s21,s27,s79,s74]) ).
cnf(s81,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s66,s59,s13,s19,s25,s31,s73,s74]) ).
cnf(s82,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s66,s59,s12,s18,s24,s30,s73,s74]) ).
cnf(s83,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s66,s59,s11,s17,s23,s29,s73,s74]) ).
cnf(s84,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s66,s59,s10,s16,s22,s28,s48,s83,s82,s81,s73,s74]) ).
cnf(s85,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s48,s4,s5,s6,s7,s84]) ).
cnf(s86,plain,
~ spl0_2,
inference(rat,[],[s66,s59,s3,s9,s15,s21,s27,s85,s73,s74]) ).
cnf(s87,plain,
spl0_1,
inference(rat,[],[s2,s74,s73,s80,s86]) ).
cnf(s88,plain,
spl0_9,
inference(rat,[],[s59,s65,s17,s23,s29,s87]) ).
cnf(s89,plain,
spl0_8,
inference(rat,[],[s59,s65,s16,s22,s28,s87]) ).
cnf(s90,plain,
~ spl0_6,
inference(rat,[],[s43,s88,s87,s89]) ).
cnf(s91,plain,
spl0_15,
inference(rat,[],[s27,s90]) ).
cnf(s92,plain,
spl0_14,
inference(rat,[],[s21,s90]) ).
cnf(s93,plain,
spl0_13,
inference(rat,[],[s15,s90]) ).
cnf(s96,plain,
~ spl0_17,
inference(rat,[],[s65,s92,s87,s93]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s59,s92,s91,s96,s93]) ).
fof(f717,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP364-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:51:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.36/1.06 % (2300791)Input is clausal, will run a generic CNF schedule.
% 2.36/1.06 % (2300797)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2796829490:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.36/1.06 % (2300802)dis-21_1_sil=8000:lcm=predicate:random_seed=568378857: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)
% 2.36/1.06 % (2300801)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1051095543:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.36/1.06 % (2300800)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3684458348:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.36/1.06 % (2300799)lrs+10_1_sil=8000:sp=occurrence:random_seed=1273075494:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.36/1.06 % (2300798)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2986594362:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.36/1.06 % (2300796)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=3128083014:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.36/1.06 % (2300802)Refutation not found, incomplete strategy
% 2.36/1.06 % (2300802)------------------------------
% 2.36/1.06 % (2300802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.06 % (2300802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.06 % (2300802)CaDiCaL version: 2.1.3
% 2.36/1.06 % (2300802)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.06 % (2300802)Time elapsed: 0.002 s
% 2.36/1.06 % (2300802)Peak memory usage: 88 MB
% 2.36/1.06 % (2300802)Instructions burned: 2 (million)
% 2.36/1.06 % (2300799)Refutation not found, incomplete strategy
% 2.36/1.06 % (2300799)------------------------------
% 2.36/1.06 % (2300799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.06 % (2300799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.06 % (2300799)CaDiCaL version: 2.1.3
% 2.36/1.06 % (2300799)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.06 % (2300799)Time elapsed: 0.004 s
% 2.36/1.06 % (2300799)Peak memory usage: 88 MB
% 2.36/1.06 % (2300799)Instructions burned: 5 (million)
% 2.36/1.06 % (2300801)First to succeed.
% 2.36/1.06 % (2300801)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2300791"
% 2.36/1.06 % (2300800)Instruction limit reached!
% 2.36/1.06 % (2300800)------------------------------
% 2.36/1.06 % (2300800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.06 % (2300800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.06 % (2300800)CaDiCaL version: 2.1.3
% 2.36/1.06 % (2300800)Termination reason: Instruction limit
% 2.36/1.06 % (2300800)Termination phase: Saturation
% 2.36/1.06 % (2300800)Time elapsed: 0.067 s
% 2.36/1.06 % (2300800)Peak memory usage: 89 MB
% 2.36/1.06 % (2300800)Instructions burned: 115 (million)
% 2.36/1.06 % (2300810)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=2352161346:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.36/1.06 % (2300810)Refutation not found, incomplete strategy
% 2.36/1.06 % (2300810)------------------------------
% 2.36/1.06 % (2300810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.06 % (2300810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.06 % (2300810)CaDiCaL version: 2.1.3
% 2.36/1.06 % (2300810)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.06 % (2300810)Time elapsed: 0.004 s
% 2.36/1.06 % (2300810)Peak memory usage: 88 MB
% 2.36/1.06 % (2300810)Instructions burned: 5 (million)
% 2.36/1.06 % (2300799)------------------------------
% 2.36/1.06 % (2300799)------------------------------
% 2.36/1.06 % (2300802)------------------------------
% 2.36/1.06 % (2300802)------------------------------
% 2.36/1.06 % (2300801)Refutation found. Thanks to Tanya!
% 2.36/1.06 % SZS status Unsatisfiable for theBenchmark
% 2.36/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.26 % (2300801)------------------------------
% 3.51/1.26 % (2300801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.26 % (2300801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.26 % (2300801)CaDiCaL version: 2.1.3
% 3.51/1.26 % (2300801)Termination reason: Refutation
% 3.51/1.26 % (2300801)Time elapsed: 0.018 s
% 3.51/1.26 % (2300801)Peak memory usage: 89 MB
% 3.51/1.26 % (2300801)Instructions burned: 27 (million)
% 3.51/1.26 % (2300801)------------------------------
% 3.51/1.26 % (2300801)------------------------------
% 3.51/1.26 % (2300791)Success in time 0.445 s
% 3.51/1.26 % Vampire exiting
%------------------------------------------------------------------------------