%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP219-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:21 AM UTC 2026
% Result : Unsatisfiable 2.62s 1.28s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 54
% Syntax : Number of formulae : 260 ( 18 unt; 18 def)
% Number of atoms : 648 ( 266 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 672 ( 284 ~; 370 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 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,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c5) = sk_c8
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c5
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| multiply(X2,sk_c9) != sk_c8
| multiply(sk_c9,X3) != sk_c8
| multiply(X4,sk_c9) != X3
| inverse(X4) != sk_c9
| inverse(X5) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| inverse(X6) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| multiply(X1,X2) != sk_c8
| inverse(X1) != X2
| sk_c8 != multiply(X2,sk_c9)
| sk_c8 != multiply(sk_c9,X3)
| multiply(X4,sk_c9) != X3
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
! [X3,X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c9)
| sk_c8 != multiply(sk_c9,X3)
| multiply(X4,sk_c9) != X3
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ),
inference(equality_resolution,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X6,X4,X5] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ),
inference(equality_resolution,[],[f71]) ).
fof(f74,definition,
( spl0_1
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f75,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_2
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f78,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl0_3
<=> ! [X4] :
( sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c9 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f81,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c9 != inverse(X4) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_4
<=> ! [X1] :
( sk_c8 != multiply(X1,inverse(X1))
| sk_c8 != multiply(inverse(X1),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f84,plain,
( ! [X1] :
( sk_c8 != multiply(inverse(X1),sk_c9)
| sk_c8 != multiply(X1,inverse(X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f72,f77,f83,f80,f77,f74]) ).
fof(f87,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f93,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f68,f91,f87]) ).
fof(f96,definition,
( spl0_7
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f98,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f66,f91,f96]) ).
fof(f101,definition,
( spl0_8
<=> sk_c9 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f103,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f91,f101]) ).
fof(f106,definition,
( spl0_9
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f108,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f91,f106]) ).
fof(f111,definition,
( spl0_10
<=> sk_c5 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f113,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f60,f111,f87]) ).
fof(f115,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f58,f111,f96]) ).
fof(f116,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f56,f111,f101]) ).
fof(f117,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f54,f111,f106]) ).
fof(f119,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c9,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f119,f87]) ).
fof(f123,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f50,f119,f96]) ).
fof(f124,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f119,f101]) ).
fof(f125,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f119,f106]) ).
fof(f127,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f44,f127,f87]) ).
fof(f131,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f127,f96]) ).
fof(f132,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f40,f127,f101]) ).
fof(f133,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f127,f106]) ).
fof(f135,definition,
( spl0_13
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f137,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f36,f135,f87]) ).
fof(f139,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f135,f96]) ).
fof(f140,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f135,f101]) ).
fof(f141,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f135,f106]) ).
fof(f143,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f146,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f143,f87]) ).
fof(f147,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f26,f143,f96]) ).
fof(f148,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f143,f101]) ).
fof(f149,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f143,f106]) ).
fof(f151,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f153,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f151,f87]) ).
fof(f155,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f18,f151,f96]) ).
fof(f156,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f16,f151,f101]) ).
fof(f157,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f14,f151,f106]) ).
fof(f159,definition,
( spl0_16
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f161,plain,
( inverse(sk_c1) = sk_c9
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f12,f159,f87]) ).
fof(f163,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f10,f159,f96]) ).
fof(f164,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f8,f159,f101]) ).
fof(f165,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f6,f159,f106]) ).
fof(f167,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c8)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f78,f108]) ).
fof(f168,plain,
( sk_c9 != multiply(sk_c6,sk_c8)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f172,plain,
( ~ spl0_8
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f168,f106,f77,f101]) ).
fof(f185,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f78,f161]) ).
fof(f186,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f185]) ).
fof(f187,plain,
( ~ spl0_15
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f186,f159,f77,f151]) ).
fof(f188,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f75,f98]) ).
fof(f191,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f188]) ).
fof(f193,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f191,f89]) ).
fof(f194,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( sk_c8 != multiply(sk_c9,sk_c5)
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f81,f113]) ).
fof(f206,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f195,f121]) ).
fof(f207,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f206,f93]) ).
fof(f208,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f215,definition,
( spl0_22
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f216,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f220,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f108]) ).
fof(f221,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f3,f89]) ).
fof(f223,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f93]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f98]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f103]) ).
fof(f248,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f220]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f221]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f254,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f223]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f277,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f249,f103]) ).
fof(f278,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f81,f249]) ).
fof(f282,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f277,f106,f101,f215]) ).
fof(f287,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f251,f98]) ).
fof(f299,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f240,f287]) ).
fof(f300,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f239,f287]) ).
fof(f302,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f300,f216]) ).
fof(f303,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f299,f216]) ).
fof(f304,plain,
( sk_c9 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_demodulation,[],[f302,f98]) ).
fof(f305,plain,
( sk_c9 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f303,f103]) ).
fof(f312,plain,
( sk_c8 != multiply(sk_c8,sk_c9)
| sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f84,f89]) ).
fof(f313,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f84,f137]) ).
fof(f326,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f313,f129]) ).
fof(f327,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f312,f287]) ).
fof(f332,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f327,f98]) ).
fof(f333,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f326,f135,f127,f83,f143]) ).
fof(f334,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f304,f332]) ).
fof(f335,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f347,plain,
( sk_c9 != sk_c9
| inverse(sk_c1) != sk_c8
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f75,f153]) ).
fof(f351,plain,
( inverse(sk_c1) != sk_c8
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f362,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f351,f161]) ).
fof(f375,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f255,f113]) ).
fof(f393,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f121,f375]) ).
fof(f408,definition,
( spl0_31
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f412,plain,
( ~ spl0_31
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f362,f159,f151,f74,f408]) ).
fof(f413,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f393,f119,f111,f91,f408]) ).
fof(f415,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f278,f108]) ).
fof(f416,plain,
( spl0_31
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f305,f215,f101,f96,f87,f408]) ).
fof(f420,plain,
( ~ spl0_31
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f415,f106,f80,f408]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f85]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f99]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f109]) ).
cnf(s7,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f114]) ).
cnf(s8,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f115]) ).
cnf(s9,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f116]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s11,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s12,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s13,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f124]) ).
cnf(s14,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s15,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s16,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f131]) ).
cnf(s17,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s18,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s19,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s20,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s21,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s22,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s23,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s24,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s25,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s26,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s27,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s28,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s29,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s30,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s31,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f162]) ).
cnf(s32,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f163]) ).
cnf(s33,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s34,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f172]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f187]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f194]) ).
cnf(s41,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f208]) ).
cnf(s44,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_22 ),
inference(sat_conversion,[],[f282]) ).
cnf(s49,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f333]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_22 ),
inference(sat_conversion,[],[f335]) ).
cnf(s56,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_31 ),
inference(sat_conversion,[],[f412]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_31 ),
inference(sat_conversion,[],[f413]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22
| spl0_31 ),
inference(sat_conversion,[],[f416]) ).
cnf(s61,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_31 ),
inference(sat_conversion,[],[f420]) ).
cnf(s64,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s49,s15,s19,s23]) ).
cnf(s65,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s50,s44,s24,s25,s26,s64]) ).
cnf(s66,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s50,s44,s20,s21,s22,s64]) ).
cnf(s67,plain,
~ spl0_4,
inference(rat,[],[s50,s44,s16,s17,s18,s49,s66,s65,s64]) ).
cnf(s70,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s41,s6,s10,s14]) ).
cnf(s71,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s41,s5,s9,s13]) ).
cnf(s72,plain,
( spl0_7
| ~ spl0_3 ),
inference(rat,[],[s41,s4,s8,s12]) ).
cnf(s73,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s41,s3,s7,s11,s59,s72,s44,s71,s61]) ).
cnf(s74,plain,
~ spl0_3,
inference(rat,[],[s73,s70]) ).
cnf(s75,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s38,s30,s34]) ).
cnf(s76,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s38,s29,s33,s36]) ).
cnf(s77,plain,
~ spl0_2,
inference(rat,[],[s76,s75]) ).
cnf(s78,plain,
spl0_1,
inference(rat,[],[s2,s67,s74,s77]) ).
cnf(s79,plain,
spl0_7,
inference(rat,[],[s57,s56,s4,s8,s12,s28,s32,s78]) ).
cnf(s80,plain,
~ spl0_5,
inference(rat,[],[s39,s78,s79]) ).
cnf(s81,plain,
spl0_16,
inference(rat,[],[s31,s80]) ).
cnf(s82,plain,
spl0_15,
inference(rat,[],[s27,s80]) ).
cnf(s86,plain,
spl0_11,
inference(rat,[],[s11,s80]) ).
cnf(s87,plain,
spl0_10,
inference(rat,[],[s7,s80]) ).
cnf(s88,plain,
spl0_6,
inference(rat,[],[s3,s80]) ).
cnf(s89,plain,
~ spl0_31,
inference(rat,[],[s56,s81,s78,s82]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s57,s89,s86,s87,s88]) ).
fof(f423,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP219-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.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 09:37:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.28 % (1780270)Input is clausal, will run a generic CNF schedule.
% 2.62/1.28 % (1780275)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=1422875040:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.28 % (1780281)dis-21_1_sil=8000:lcm=predicate:random_seed=796501831: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)
% 2.62/1.28 % (1780279)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3230952914:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.28 % (1780276)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2255451533:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.28 % (1780277)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1803283974:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.28 % (1780278)lrs+10_1_sil=8000:sp=occurrence:random_seed=3411753715:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.28 % (1780280)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2408225946:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.28 % (1780281)Refutation not found, incomplete strategy
% 2.62/1.28 % (1780281)------------------------------
% 2.62/1.28 % (1780281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1780281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1780281)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1780281)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.28 % (1780281)Time elapsed: 0.002 s
% 2.62/1.28 % (1780281)Peak memory usage: 88 MB
% 2.62/1.28 % (1780281)Instructions burned: 2 (million)
% 2.62/1.28 % (1780280)First to succeed.
% 2.62/1.28 % (1780280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1780270"
% 2.62/1.28 % (1780278)Instruction limit reached!
% 2.62/1.28 % (1780278)------------------------------
% 2.62/1.28 % (1780278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1780278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1780278)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1780278)Termination reason: Instruction limit
% 2.62/1.28 % (1780278)Termination phase: Saturation
% 2.62/1.28 % (1780278)Time elapsed: 0.057 s
% 2.62/1.28 % (1780278)Peak memory usage: 89 MB
% 2.62/1.28 % (1780278)Instructions burned: 108 (million)
% 2.62/1.28 % (1780279)Instruction limit reached!
% 2.62/1.28 % (1780279)------------------------------
% 2.62/1.28 % (1780279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1780279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1780279)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1780279)Termination reason: Instruction limit
% 2.62/1.28 % (1780279)Termination phase: Saturation
% 2.62/1.28 % (1780279)Time elapsed: 0.065 s
% 2.62/1.28 % (1780279)Peak memory usage: 89 MB
% 2.62/1.28 % (1780279)Instructions burned: 114 (million)
% 2.62/1.28 % (1780290)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=427293676:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.62/1.28 % (1780289)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=2688992618:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.62/1.28 % (1780281)------------------------------
% 2.62/1.28 % (1780281)------------------------------
% 2.62/1.28 % (1780280)Refutation found. Thanks to Tanya!
% 2.62/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.48 % (1780280)------------------------------
% 3.56/1.48 % (1780280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.48 % (1780280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.48 % (1780280)CaDiCaL version: 2.1.3
% 3.56/1.48 % (1780280)Termination reason: Refutation
% 3.56/1.48 % (1780280)Time elapsed: 0.013 s
% 3.56/1.48 % (1780280)Peak memory usage: 89 MB
% 3.56/1.48 % (1780280)Instructions burned: 17 (million)
% 3.56/1.48 % (1780280)------------------------------
% 3.56/1.48 % (1780280)------------------------------
% 3.56/1.48 % (1780270)Success in time 0.421 s
% 3.56/1.48 % Vampire exiting
%------------------------------------------------------------------------------