%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n008.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 10:17:12 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 52
% Syntax : Number of formulae : 263 ( 20 unt; 19 def)
% Number of atoms : 665 ( 260 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 708 ( 306 ~; 383 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/Axioms/GRP004-0.ax',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(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(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(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 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ 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(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(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(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(f145,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
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 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f78,f103]) ).
fof(f168,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f170,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f168,f108]) ).
fof(f171,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f173,plain,
( sk_c9 != sk_c9
| inverse(sk_c1) != sk_c9
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f78,f153]) ).
fof(f174,plain,
( inverse(sk_c1) != sk_c9
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f173]) ).
fof(f175,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f174,f161]) ).
fof(f176,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f191,plain,
( sk_c9 != sk_c9
| inverse(sk_c1) != sk_c8
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f75,f153]) ).
fof(f192,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f75,f98]) ).
fof(f194,plain,
( inverse(sk_c1) != sk_c8
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f191]) ).
fof(f197,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f194,f161]) ).
fof(f200,plain,
( sk_c8 != multiply(sk_c8,sk_c9)
| sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f84,f89]) ).
fof(f201,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f84,f137]) ).
fof(f208,definition,
( spl0_20
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f209,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f201,f129]) ).
fof(f213,plain,
( sk_c9 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f200,f98]) ).
fof(f224,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f212,f145]) ).
fof(f225,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f227,definition,
( spl0_23
<=> sk_c8 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f228,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl0_24
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f233,plain,
( sk_c9 != sk_c8
| spl0_24 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f213,f96,f87,f83,f231,f227]) ).
fof(f236,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f192]) ).
fof(f238,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f236,f96,f74,f87]) ).
fof(f240,plain,
( ~ spl0_24
| ~ spl0_1
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f197,f159,f151,f74,f231]) ).
fof(f247,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f161]) ).
fof(f248,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f108]) ).
fof(f263,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f266,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f247]) ).
fof(f267,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f98]) ).
fof(f272,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f273,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f263,f1]) ).
fof(f276,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f248]) ).
fof(f277,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f276,f1]) ).
fof(f285,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f272,f153]) ).
fof(f289,plain,
( spl0_20
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f285,f159,f151,f208]) ).
fof(f426,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c9)
| ~ spl0_7 ),
inference(superposition,[],[f273,f98]) ).
fof(f435,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f273,f113]) ).
fof(f441,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f435,f93]) ).
fof(f446,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f441,f121]) ).
fof(f456,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f446,f233]) ).
fof(f457,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f465,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f277,f103]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f103]) ).
fof(f481,plain,
( sk_c9 != sk_c8
| inverse(sk_c1) != sk_c9
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f81,f272]) ).
fof(f482,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f81,f277]) ).
fof(f489,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f482,f108]) ).
fof(f490,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f481,f161]) ).
fof(f511,plain,
( ~ spl0_24
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f489,f106,f80,f231]) ).
fof(f512,plain,
( ~ spl0_24
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f490,f159,f80,f231]) ).
fof(f601,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f426,f89]) ).
fof(f605,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f601,f96,f87,f227]) ).
fof(f611,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_23 ),
inference(superposition,[],[f467,f228]) ).
fof(f612,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_23 ),
inference(superposition,[],[f267,f228]) ).
fof(f617,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f612,f209]) ).
fof(f618,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_8
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f611,f209]) ).
fof(f621,plain,
( sk_c9 = sk_c8
| ~ spl0_7
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f617,f98]) ).
fof(f622,plain,
( sk_c9 = sk_c8
| ~ spl0_8
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f618,f103]) ).
fof(f625,plain,
( $false
| ~ spl0_7
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f621,f233]) ).
fof(f626,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f627,plain,
( $false
| ~ spl0_8
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f622,f233]) ).
fof(f628,plain,
( ~ spl0_8
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f630,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f465,f106,f101,f208]) ).
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(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(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(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(s35,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f171]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f225]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f234]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f238]) ).
cnf(s47,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(sat_conversion,[],[f240]) ).
cnf(s51,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f289]) ).
cnf(s55,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| spl0_24 ),
inference(sat_conversion,[],[f457]) ).
cnf(s62,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_24 ),
inference(sat_conversion,[],[f511]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_24 ),
inference(sat_conversion,[],[f512]) ).
cnf(s69,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_23 ),
inference(sat_conversion,[],[f605]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f626]) ).
cnf(s73,plain,
( ~ spl0_8
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f628]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f630]) ).
cnf(s86,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s43,s15,s19,s23]) ).
cnf(s87,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s44,s73,s69,s74,s24,s25,s26,s86]) ).
cnf(s88,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s44,s73,s69,s74,s20,s21,s22,s86]) ).
cnf(s89,plain,
~ spl0_4,
inference(rat,[],[s44,s73,s69,s74,s16,s17,s18,s43,s88,s87,s86]) ).
cnf(s91,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_23
| ~ spl0_3 ),
inference(rat,[],[s73,s74,s62]) ).
cnf(s92,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s55,s63,s6,s10,s14,s34]) ).
cnf(s93,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s51,s29,s33,s91,s72,s69,s62,s92]) ).
cnf(s94,plain,
( spl0_7
| spl0_24 ),
inference(rat,[],[s55,s4,s8,s12]) ).
cnf(s95,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s55,s3,s7,s11,s93,s94,s62]) ).
cnf(s96,plain,
~ spl0_3,
inference(rat,[],[s95,s92]) ).
cnf(s97,plain,
( spl0_8
| ~ spl0_2 ),
inference(rat,[],[s36,s29,s33]) ).
cnf(s98,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s36,s30,s34,s35]) ).
cnf(s99,plain,
~ spl0_2,
inference(rat,[],[s98,s97]) ).
cnf(s100,plain,
spl0_1,
inference(rat,[],[s2,s89,s96,s99]) ).
cnf(s101,plain,
spl0_7,
inference(rat,[],[s47,s94,s28,s32,s100]) ).
cnf(s102,plain,
~ spl0_5,
inference(rat,[],[s45,s100,s101]) ).
cnf(s103,plain,
spl0_16,
inference(rat,[],[s31,s102]) ).
cnf(s104,plain,
spl0_15,
inference(rat,[],[s27,s102]) ).
cnf(s108,plain,
spl0_11,
inference(rat,[],[s11,s102]) ).
cnf(s109,plain,
spl0_10,
inference(rat,[],[s7,s102]) ).
cnf(s110,plain,
spl0_6,
inference(rat,[],[s3,s102]) ).
cnf(s112,plain,
~ spl0_24,
inference(rat,[],[s47,s103,s100,s104]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s55,s112,s108,s109,s110]) ).
fof(f661,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:38:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 % (981257)Will run a generic schedule for satisfiability detection.
% 0.20/0.48 % (981268)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3425051194:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.48 % (981263)% WARNING: option uhcvi not known.
% 0.20/0.48 % (981263)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2438209496:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.48 % (981262)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2004806355_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.48 % (981265)dis+10_1_sil=32000:sp=arity:random_seed=2492146008:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.48 % (981264)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3228890312:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.48 % TRYING [1]
% 0.20/0.48 % TRYING [2]
% 0.20/0.48 % (981267)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3931781724:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.48 % TRYING [3]
% 0.20/0.48 % (981266)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=997207074:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.48 % TRYING [4]
% 0.20/0.48 % (981263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-981257-981263"...
% 0.20/0.48 % (981268) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-981257-981268"...
% 0.20/0.48 % (981265) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-981257-981265"...
% 0.20/0.48 % (981263)...printing done.
% 0.20/0.48 % (981268)...printing done.
% 0.20/0.48 % (981263)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (981263)------------------------------
% 0.20/0.48 % (981263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.48 % (981263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.48 % (981263)CaDiCaL version: 2.1.3
% 0.20/0.48 % (981263)Termination reason: Refutation
% 0.20/0.48 % (981263)Time elapsed: 0.016 s
% 0.20/0.48 % (981263)Peak memory usage: 12 MB
% 0.20/0.48 % (981263)Instructions burned: 24 (million)
% 0.20/0.48 % (981257)Success in time 0.046 s
% 0.20/0.48 % Vampire exiting
%------------------------------------------------------------------------------