%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP319-1 : 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 : n010.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 10:13:38 AM UTC 2026
% Result : Unsatisfiable 2.08s 1.30s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 57
% Syntax : Number of formulae : 352 ( 20 unt; 21 def)
% Number of atoms : 1049 ( 318 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1322 ( 625 ~; 676 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 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_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X3) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7
| multiply(X5,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_3
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_5
<=> ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_6
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f79,f96,f93,f90,f87,f84,f81]) ).
fof(f101,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f103,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f107,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f105,f101]) ).
fof(f110,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f74,f105,f110]) ).
fof(f115,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f72,f105,f115]) ).
fof(f120,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f122,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f70,f105,f120]) ).
fof(f125,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f68,f105,f125]) ).
fof(f130,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f132,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f66,f105,f130]) ).
fof(f135,definition,
( spl0_14
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f137,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f135,f101]) ).
fof(f139,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f135,f110]) ).
fof(f140,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f135,f115]) ).
fof(f141,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f135,f120]) ).
fof(f142,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f135,f125]) ).
fof(f143,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f135,f130]) ).
fof(f145,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f147,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f52,f145,f101]) ).
fof(f149,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f50,f145,f110]) ).
fof(f150,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f48,f145,f115]) ).
fof(f151,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f46,f145,f120]) ).
fof(f152,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f44,f145,f125]) ).
fof(f153,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f42,f145,f130]) ).
fof(f155,definition,
( spl0_16
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f157,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f155,f101]) ).
fof(f159,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f38,f155,f110]) ).
fof(f160,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f36,f155,f115]) ).
fof(f161,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f34,f155,f120]) ).
fof(f165,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f167,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f165,f101]) ).
fof(f169,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f165,f110]) ).
fof(f170,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f165,f115]) ).
fof(f171,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f165,f120]) ).
fof(f174,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f96,f101]) ).
fof(f175,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f96,f110]) ).
fof(f176,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f96,f115]) ).
fof(f177,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f96,f120]) ).
fof(f178,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f96,f125]) ).
fof(f179,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f96,f130]) ).
fof(f180,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f112]) ).
fof(f185,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f189,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f185,f1]) ).
fof(f192,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f180]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f202,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f193,f103]) ).
fof(f230,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f189,f180]) ).
fof(f233,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f189,f132]) ).
fof(f235,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f189,f122]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f235,f117]) ).
fof(f246,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f233,f127]) ).
fof(f248,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f189,f244]) ).
fof(f250,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f248,f3]) ).
fof(f254,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f189,f246]) ).
fof(f256,plain,
( identity = sk_c8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f254,f3]) ).
fof(f261,plain,
( sk_c8 = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f256,f250]) ).
fof(f271,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f230,f250]) ).
fof(f272,plain,
( identity = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f3]) ).
fof(f273,plain,
( sk_c7 = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f272,f250]) ).
fof(f274,plain,
( sk_c8 = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f273,f261]) ).
fof(f278,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f103,f274]) ).
fof(f281,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f278,f98]) ).
fof(f282,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f288,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f97,f261]) ).
fof(f291,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f189,f288]) ).
fof(f293,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f291,f3]) ).
fof(f297,plain,
( sk_c8 = sk_c9
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f293,f256]) ).
fof(f303,plain,
( sk_c8 != sk_c9
| sk_c8 != multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f88,f117]) ).
fof(f304,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f88,f127]) ).
fof(f305,plain,
( sk_c8 != multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f306,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f305,f132]) ).
fof(f307,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f309,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f311,plain,
( sk_c8 != multiply(sk_c5,sk_c9)
| spl0_18 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f313,definition,
( spl0_19
<=> sk_c8 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f314,plain,
( sk_c8 = sk_c9
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f303,f115,f87,f313,f309]) ).
fof(f323,definition,
( spl0_20
<=> sk_c9 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f324,plain,
( sk_c9 = sk_c7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( sk_c9 != sk_c7
| spl0_20 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f338,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f180,f273]) ).
fof(f341,plain,
( identity = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f338,f202]) ).
fof(f342,plain,
( sk_c8 != sk_c9
| sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f88,f157]) ).
fof(f346,plain,
( sk_c9 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f341,f250]) ).
fof(f351,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f346,f325]) ).
fof(f352,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f357,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f189,f137]) ).
fof(f359,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f357,f107]) ).
fof(f376,plain,
( sk_c8 = sk_c9
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f147,f359]) ).
fof(f390,definition,
( spl0_22
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f391,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( sk_c8 != multiply(sk_c1,sk_c9)
| spl0_22 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_19
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f342,f155,f87,f313,f390]) ).
fof(f394,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f376,f145,f135,f105,f313]) ).
fof(f395,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f97,f314]) ).
fof(f396,plain,
( sk_c7 = multiply(sk_c5,sk_c9)
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f122,f314]) ).
fof(f397,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f167,f314]) ).
fof(f409,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f311,f314]) ).
fof(f410,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_19
| spl0_22 ),
inference(forward_demodulation,[],[f392,f314]) ).
fof(f416,plain,
( sk_c9 != sk_c7
| ~ spl0_11
| spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f409,f396]) ).
fof(f418,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f189,f396]) ).
fof(f420,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f418,f117]) ).
fof(f422,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f420,f314]) ).
fof(f423,plain,
( $false
| ~ spl0_17
| ~ spl0_19
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f397,f410]) ).
fof(f424,plain,
( ~ spl0_17
| ~ spl0_19
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f391,f314]) ).
fof(f426,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c9)
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f189,f425]) ).
fof(f428,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f426,f157]) ).
fof(f429,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f428,f314]) ).
fof(f430,plain,
( sk_c8 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c9)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f82,f117]) ).
fof(f431,plain,
( sk_c8 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f82,f157]) ).
fof(f433,plain,
( sk_c9 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f431,f314]) ).
fof(f434,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f430,f396]) ).
fof(f435,plain,
( sk_c9 != sk_c7
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f434,f314]) ).
fof(f503,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(superposition,[],[f395,f429]) ).
fof(f519,plain,
( ~ spl0_20
| ~ spl0_11
| spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f416,f313,f309,f120,f323]) ).
fof(f521,plain,
( sk_c9 != sk_c7
| sk_c9 != sk_c7
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f433,f425]) ).
fof(f522,plain,
( sk_c9 != sk_c7
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f523,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f435,f313,f120,f115,f81,f323]) ).
fof(f524,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f503,f390,f313,f155,f96,f323]) ).
fof(f526,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f522,f390,f313,f155,f81,f323]) ).
fof(f528,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c9)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f85,f314]) ).
fof(f530,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c7 != multiply(X4,sk_c9) )
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f528,f314]) ).
fof(f531,plain,
( sk_c8 != sk_c9
| sk_c7 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f530,f117]) ).
fof(f532,plain,
( sk_c8 != sk_c9
| sk_c7 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f530,f157]) ).
fof(f536,plain,
( sk_c7 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f532,f314]) ).
fof(f537,plain,
( sk_c7 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f531,f314]) ).
fof(f540,plain,
( sk_c9 != sk_c7
| ~ spl0_2
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_demodulation,[],[f536,f425]) ).
fof(f541,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f537,f396]) ).
fof(f542,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f543,plain,
( ~ spl0_20
| ~ spl0_2
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f540,f390,f313,f155,f84,f323]) ).
fof(f544,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f91,f314]) ).
fof(f549,plain,
( sk_c8 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f544,f117]) ).
fof(f551,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(superposition,[],[f544,f107]) ).
fof(f552,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f551]) ).
fof(f553,plain,
( sk_c9 != multiply(sk_c9,sk_c3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f552,f137]) ).
fof(f555,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f549,f314]) ).
fof(f556,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f553,f359]) ).
fof(f557,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f559,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f555,f396]) ).
fof(f562,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f559,f422]) ).
fof(f563,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c9)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f94,f314]) ).
fof(f565,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c9) )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f564,f314]) ).
fof(f569,plain,
( sk_c8 != sk_c9
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f565,f117]) ).
fof(f570,plain,
( sk_c8 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f565,f157]) ).
fof(f574,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f570,f314]) ).
fof(f575,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f569,f314]) ).
fof(f577,plain,
( $false
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f574,f425]) ).
fof(f578,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f579,plain,
( sk_c9 != sk_c7
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f575,f396]) ).
fof(f582,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f579,f324]) ).
fof(f583,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f590,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f297,f130,f125,f120,f115,f96,f313]) ).
fof(f592,plain,
( sk_c8 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f261,f324]) ).
fof(f597,plain,
( spl0_19
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f592,f323,f130,f125,f120,f115,f313]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f99]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f133]) ).
cnf(s8,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s9,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s10,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s11,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s12,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s13,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s14,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s15,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s16,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s17,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s18,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s19,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f153]) ).
cnf(s20,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f158]) ).
cnf(s21,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s22,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s23,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s26,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f168]) ).
cnf(s27,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f169]) ).
cnf(s28,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f170]) ).
cnf(s29,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f171]) ).
cnf(s32,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f174]) ).
cnf(s33,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f175]) ).
cnf(s34,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f176]) ).
cnf(s35,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f177]) ).
cnf(s36,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f178]) ).
cnf(s37,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f179]) ).
cnf(s38,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f282]) ).
cnf(s39,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f307]) ).
cnf(s40,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f316]) ).
cnf(s44,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f352]) ).
cnf(s47,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f393]) ).
cnf(s48,plain,
( ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f394]) ).
cnf(s50,plain,
( ~ spl0_17
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f424]) ).
cnf(s53,plain,
( ~ spl0_11
| spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f519]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f523]) ).
cnf(s55,plain,
( ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f524]) ).
cnf(s57,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f526]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f542]) ).
cnf(s61,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f543]) ).
cnf(s62,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f557]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f563]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f578]) ).
cnf(s67,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f583]) ).
cnf(s68,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f590]) ).
cnf(s70,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f597]) ).
cnf(s73,plain,
spl0_6,
inference(rat,[],[s38,s32,s33,s34,s35,s36,s37]) ).
cnf(s74,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s67,s44,s68,s3,s4,s5,s6,s7,s73]) ).
cnf(s75,plain,
( spl0_13
| spl0_19
| ~ spl0_8 ),
inference(rat,[],[s48,s13,s19]) ).
cnf(s76,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s48,s12,s18,s70,s75,s67,s44,s74]) ).
cnf(s77,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s50,s65,s48,s11,s17,s23,s29]) ).
cnf(s78,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s50,s65,s48,s10,s16,s22,s28]) ).
cnf(s79,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s50,s65,s48,s9,s15,s21,s27,s76,s78,s77,s74]) ).
cnf(s80,plain,
~ spl0_5,
inference(rat,[],[s50,s65,s48,s2,s8,s14,s20,s26,s79]) ).
cnf(s81,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s48,s12,s18,s70,s75,s44,s64]) ).
cnf(s82,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s62,s48,s11,s17]) ).
cnf(s83,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s62,s48,s10,s16]) ).
cnf(s84,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_4
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s48,s9,s15,s64,s81]) ).
cnf(s85,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s84,s83,s82]) ).
cnf(s86,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s64,s68,s4,s5,s6,s7,s73]) ).
cnf(s87,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s48,s8,s14,s64,s85,s83,s82]) ).
cnf(s88,plain,
~ spl0_4,
inference(rat,[],[s87,s86]) ).
cnf(s89,plain,
( spl0_19
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s48,s12,s18,s68,s75,s73]) ).
cnf(s90,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s47,s50,s21,s27,s44,s53,s40,s89]) ).
cnf(s91,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s47,s50,s48,s11,s17,s23,s29]) ).
cnf(s92,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_3
| ~ spl0_7 ),
inference(rat,[],[s47,s50,s48,s10,s16,s22,s28,s90]) ).
cnf(s93,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s92,s91]) ).
cnf(s94,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s39,s6,s7]) ).
cnf(s95,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s47,s50,s48,s8,s14,s20,s26,s93]) ).
cnf(s96,plain,
~ spl0_3,
inference(rat,[],[s95,s94]) ).
cnf(s97,plain,
( spl0_19
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s48,s10,s16,s89]) ).
cnf(s98,plain,
( ~ spl0_16
| ~ spl0_22
| ~ spl0_2
| ~ spl0_19 ),
inference(rat,[],[s55,s61,s73]) ).
cnf(s99,plain,
( ~ spl0_19
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s98,s50,s22,s28,s60]) ).
cnf(s100,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s99,s97]) ).
cnf(s101,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s98,s50,s48,s11,s17,s23,s29,s100]) ).
cnf(s102,plain,
~ spl0_2,
inference(rat,[],[s68,s99,s4,s5,s6,s7,s101,s73]) ).
cnf(s103,plain,
spl0_1,
inference(rat,[],[s1,s73,s88,s80,s96,s102]) ).
cnf(s104,plain,
( spl0_19
| ~ spl0_8 ),
inference(rat,[],[s48,s11,s17,s97]) ).
cnf(s105,plain,
( spl0_9
| spl0_20
| ~ spl0_19 ),
inference(rat,[],[s55,s50,s21,s27,s73]) ).
cnf(s106,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(rat,[],[s55,s50,s20,s26,s44,s105,s54,s103,s73]) ).
cnf(s107,plain,
( ~ spl0_16
| ~ spl0_22
| ~ spl0_19 ),
inference(rat,[],[s55,s57,s103,s73]) ).
cnf(s108,plain,
( spl0_10
| ~ spl0_19 ),
inference(rat,[],[s107,s50,s22,s28]) ).
cnf(s109,plain,
( ~ spl0_10
| ~ spl0_19 ),
inference(rat,[],[s107,s50,s23,s29,s106]) ).
cnf(s110,plain,
~ spl0_19,
inference(rat,[],[s109,s108]) ).
cnf(s111,plain,
~ spl0_8,
inference(rat,[],[s104,s110]) ).
cnf(s112,plain,
spl0_13,
inference(rat,[],[s7,s111]) ).
cnf(s113,plain,
spl0_12,
inference(rat,[],[s6,s111]) ).
cnf(s114,plain,
spl0_11,
inference(rat,[],[s5,s111]) ).
cnf(s115,plain,
spl0_10,
inference(rat,[],[s4,s111]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s68,s112,s114,s110,s73,s113,s115]) ).
fof(f600,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:50:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.08/1.30 % (710926)Input is clausal, will run a generic CNF schedule.
% 2.08/1.30 % (710931)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=1959753590:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.08/1.30 % (710933)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3711541324:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.08/1.30 % (710932)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1237270344:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.08/1.30 % (710934)lrs+10_1_sil=8000:sp=occurrence:random_seed=2690229120:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.08/1.30 % (710935)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=335562862:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.08/1.30 % (710937)dis-21_1_sil=8000:lcm=predicate:random_seed=4256681183: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)
% 2.08/1.30 % (710936)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3507600564:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.08/1.30 % (710937)Refutation not found, incomplete strategy
% 2.08/1.30 % (710937)------------------------------
% 2.08/1.30 % (710937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.08/1.30 % (710937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/1.30 % (710937)CaDiCaL version: 2.1.3
% 2.08/1.30 % (710937)Termination reason: Refutation not found, incomplete strategy
% 2.08/1.30 % (710937)Time elapsed: 0.002 s
% 2.08/1.30 % (710937)Peak memory usage: 88 MB
% 2.08/1.30 % (710937)Instructions burned: 2 (million)
% 2.08/1.30 % (710934)Refutation not found, incomplete strategy
% 2.08/1.30 % (710934)------------------------------
% 2.08/1.30 % (710934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.08/1.30 % (710934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/1.30 % (710934)CaDiCaL version: 2.1.3
% 2.08/1.30 % (710934)Termination reason: Refutation not found, incomplete strategy
% 2.08/1.30 % (710934)Time elapsed: 0.003 s
% 2.08/1.30 % (710934)Peak memory usage: 88 MB
% 2.08/1.30 % (710934)Instructions burned: 3 (million)
% 2.08/1.30 % (710936)First to succeed.
% 2.08/1.30 % (710936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-710926"
% 2.08/1.30 % (710935)Instruction limit reached!
% 2.08/1.30 % (710935)------------------------------
% 2.08/1.30 % (710935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.08/1.30 % (710935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/1.30 % (710935)CaDiCaL version: 2.1.3
% 2.08/1.30 % (710935)Termination reason: Instruction limit
% 2.08/1.30 % (710935)Termination phase: Saturation
% 2.08/1.30 % (710935)Time elapsed: 0.066 s
% 2.08/1.30 % (710935)Peak memory usage: 89 MB
% 2.08/1.30 % (710935)Instructions burned: 115 (million)
% 2.08/1.30 % (710934)------------------------------
% 2.08/1.30 % (710934)------------------------------
% 2.08/1.30 % (710937)------------------------------
% 2.08/1.30 % (710937)------------------------------
% 2.08/1.30 % (710945)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=1858857757:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.08/1.30 % (710945)Refutation not found, incomplete strategy
% 2.08/1.30 % (710945)------------------------------
% 2.08/1.30 % (710945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.08/1.30 % (710945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/1.30 % (710945)CaDiCaL version: 2.1.3
% 2.08/1.30 % (710945)Termination reason: Refutation not found, incomplete strategy
% 2.08/1.30 % (710945)Time elapsed: 0.003 s
% 2.08/1.30 % (710945)Peak memory usage: 88 MB
% 2.08/1.30 % (710945)Instructions burned: 3 (million)
% 2.08/1.30 % (710936)Refutation found. Thanks to Tanya!
% 2.08/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.08/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.40 % (710936)------------------------------
% 3.76/1.40 % (710936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (710936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (710936)CaDiCaL version: 2.1.3
% 3.76/1.40 % (710936)Termination reason: Refutation
% 3.76/1.40 % (710936)Time elapsed: 0.016 s
% 3.76/1.40 % (710936)Peak memory usage: 89 MB
% 3.76/1.40 % (710936)Instructions burned: 23 (million)
% 3.76/1.40 % (710936)------------------------------
% 3.76/1.40 % (710936)------------------------------
% 3.76/1.40 % (710926)Success in time 0.452 s
% 3.76/1.40 % Vampire exiting
%------------------------------------------------------------------------------