%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP260-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:13:28 AM UTC 2026
% Result : Unsatisfiable 3.23s 1.33s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 74
% Syntax : Number of formulae : 393 ( 27 unt; 24 def)
% Number of atoms : 1161 ( 433 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1388 ( 620 ~; 744 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c11 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(sk_c9,sk_c11) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f105]) ).
fof(f108,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f109,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_4
<=> sk_c10 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( sk_c10 != multiply(sk_c9,sk_c11)
| spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f106,f114,f111,f117,f114,f111,f108]) ).
fof(f122,definition,
( spl0_5
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f124,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f127,definition,
( spl0_6
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f129,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f132,definition,
( spl0_7
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f134,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f137,definition,
( spl0_8
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f139,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f142,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f117,f142]) ).
fof(f147,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f149,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f117,f147]) ).
fof(f152,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f154,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f90,f117,f152]) ).
fof(f157,definition,
( spl0_12
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f159,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f88,f117,f157]) ).
fof(f162,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f164,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f86,f117,f162]) ).
fof(f167,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f169,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f84,f117,f167]) ).
fof(f172,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f174,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f82,f172,f122]) ).
fof(f176,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f80,f172,f127]) ).
fof(f177,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f78,f172,f132]) ).
fof(f178,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f76,f172,f137]) ).
fof(f179,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f172,f142]) ).
fof(f180,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f172,f147]) ).
fof(f181,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f172,f152]) ).
fof(f182,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f68,f172,f157]) ).
fof(f183,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f66,f172,f162]) ).
fof(f184,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f64,f172,f167]) ).
fof(f186,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f188,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f62,f186,f122]) ).
fof(f190,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f60,f186,f127]) ).
fof(f191,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f58,f186,f132]) ).
fof(f192,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f56,f186,f137]) ).
fof(f193,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f186,f142]) ).
fof(f194,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f186,f147]) ).
fof(f195,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f50,f186,f152]) ).
fof(f196,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f48,f186,f157]) ).
fof(f197,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f186,f162]) ).
fof(f198,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f44,f186,f167]) ).
fof(f200,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_5
| spl0_17 ),
inference(avatar_split_clause,[],[f42,f200,f122]) ).
fof(f204,plain,
( spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f40,f200,f127]) ).
fof(f205,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f38,f200,f132]) ).
fof(f206,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f36,f200,f137]) ).
fof(f207,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f34,f200,f142]) ).
fof(f208,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f200,f147]) ).
fof(f209,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f30,f200,f152]) ).
fof(f210,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f200,f157]) ).
fof(f211,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f200,f162]) ).
fof(f212,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f200,f167]) ).
fof(f214,definition,
( spl0_18
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f216,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( spl0_5
| spl0_18 ),
inference(avatar_split_clause,[],[f22,f214,f122]) ).
fof(f218,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f20,f214,f127]) ).
fof(f219,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f214,f132]) ).
fof(f220,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f17,f214,f137]) ).
fof(f221,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f15,f214,f142]) ).
fof(f222,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f13,f214,f147]) ).
fof(f223,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f11,f214,f152]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f9,f214,f157]) ).
fof(f225,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f214,f162]) ).
fof(f226,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f214,f167]) ).
fof(f227,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f3,f164]) ).
fof(f234,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_14 ),
inference(superposition,[],[f4,f169]) ).
fof(f240,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f234,f1]) ).
fof(f243,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f227]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f257,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f244,f169]) ).
fof(f266,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f235,f257]) ).
fof(f268,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f266,f169]) ).
fof(f306,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f240,f257]) ).
fof(f311,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f240,f159]) ).
fof(f314,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_10 ),
inference(superposition,[],[f240,f149]) ).
fof(f331,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f314,f144]) ).
fof(f334,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f311,f154]) ).
fof(f338,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f306,f3]) ).
fof(f352,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f240,f331]) ).
fof(f354,plain,
( identity = sk_c11
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f352,f3]) ).
fof(f357,plain,
( sk_c11 = sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f354,f338]) ).
fof(f365,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f331,f357]) ).
fof(f366,plain,
( sk_c11 = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f365,f139]) ).
fof(f369,plain,
( sk_c10 = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f366,f357]) ).
fof(f372,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f240,f334]) ).
fof(f374,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f372,f3]) ).
fof(f377,plain,
( sk_c10 = sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f374,f338]) ).
fof(f381,plain,
( sk_c10 != multiply(sk_c10,sk_c11)
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f119,f377]) ).
fof(f382,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f381,f357]) ).
fof(f383,plain,
( $false
| spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f382,f268]) ).
fof(f384,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f385,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f115,f357]) ).
fof(f387,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f385,f357]) ).
fof(f391,plain,
( sk_c10 != sk_c8
| sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f387,f144]) ).
fof(f400,definition,
( spl0_20
<=> sk_c10 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f401,plain,
( sk_c10 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f406,definition,
( spl0_21
<=> sk_c10 = multiply(sk_c5,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f409,plain,
( ~ spl0_21
| ~ spl0_20
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f391,f167,f162,f147,f142,f114,f400,f406]) ).
fof(f416,plain,
( ! [X6,X4] :
( sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f109,f357]) ).
fof(f417,plain,
( ! [X6,X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f416,f357]) ).
fof(f418,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f369,f167,f162,f147,f142,f137,f400]) ).
fof(f467,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f112,f377]) ).
fof(f468,plain,
( sk_c6 = multiply(sk_c7,sk_c10)
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f124,f401]) ).
fof(f470,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f149,f401]) ).
fof(f483,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f470,f357]) ).
fof(f488,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f483,f400,f167,f162,f147,f142,f406]) ).
fof(f492,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f467,f154]) ).
fof(f496,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f492]) ).
fof(f500,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f496,f159]) ).
fof(f505,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f500,f377]) ).
fof(f506,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f533,definition,
( spl0_28
<=> ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f534,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f552,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c11,sk_c10)
| sk_c10 != multiply(sk_c3,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f417,f164]) ).
fof(f563,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f552,f169]) ).
fof(f569,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f563,f257]) ).
fof(f574,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f569,f357]) ).
fof(f579,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f574,f357]) ).
fof(f583,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f579,f357]) ).
fof(f587,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f583,f167,f162,f147,f142,f108,f533]) ).
fof(f650,plain,
( sk_c10 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c10)
| ~ spl0_7
| ~ spl0_28 ),
inference(superposition,[],[f534,f134]) ).
fof(f691,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_15 ),
inference(superposition,[],[f3,f174]) ).
fof(f777,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f240,f216]) ).
fof(f779,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f777,f202]) ).
fof(f792,plain,
( ! [X0] :
( identity != sk_c11
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1 ),
inference(superposition,[],[f109,f3]) ).
fof(f816,definition,
( spl0_33
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f817,plain,
( sk_c11 = sk_c10
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f826,definition,
( spl0_35
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f827,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f853,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c10)
| ~ spl0_4 ),
inference(superposition,[],[f240,f118]) ).
fof(f855,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f240,f188]) ).
fof(f857,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f855,f174]) ).
fof(f1031,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f650,f468]) ).
fof(f1042,plain,
( sk_c10 != sk_c8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1031,f129]) ).
fof(f1048,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1042,f401]) ).
fof(f1049,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1181,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_15
| ~ spl0_28 ),
inference(superposition,[],[f534,f174]) ).
fof(f1231,plain,
( ! [X0] :
( identity != sk_c10
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_33 ),
inference(forward_demodulation,[],[f792,f817]) ).
fof(f1243,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,inverse(sk_c10))
| identity != sk_c10
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1231,f817]) ).
fof(f1299,definition,
( spl0_39
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1300,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1520,plain,
( spl0_35
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f779,f214,f200,f826]) ).
fof(f1524,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_35 ),
inference(superposition,[],[f240,f827]) ).
fof(f1525,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_35 ),
inference(superposition,[],[f4,f827]) ).
fof(f1526,plain,
( identity = sk_c10
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1524,f3]) ).
fof(f1571,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c11),multiply(sk_c11,X0))
| ~ spl0_35 ),
inference(superposition,[],[f240,f1525]) ).
fof(f1574,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1571,f240]) ).
fof(f1642,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f240,f857]) ).
fof(f1644,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1642,f3]) ).
fof(f1648,plain,
( sk_c10 = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1644,f1526]) ).
fof(f1680,plain,
( identity = sk_c2
| ~ spl0_15
| ~ spl0_35 ),
inference(superposition,[],[f691,f1574]) ).
fof(f1683,plain,
( sk_c10 = sk_c2
| ~ spl0_15
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1680,f1526]) ).
fof(f1693,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_15
| ~ spl0_35 ),
inference(superposition,[],[f174,f1683]) ).
fof(f1699,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1181,f188]) ).
fof(f1702,plain,
( spl0_39
| ~ spl0_15
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1693,f826,f172,f1299]) ).
fof(f1703,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1699,f1648]) ).
fof(f1704,plain,
( ~ spl0_39
| ~ spl0_15
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1703,f826,f533,f186,f172,f1299]) ).
fof(f1739,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f853,f1648]) ).
fof(f1740,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1739,f3]) ).
fof(f1741,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1740,f1526]) ).
fof(f1765,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,inverse(sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1243,f1526]) ).
fof(f1779,plain,
( spl0_33
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1741,f826,f186,f172,f117,f816]) ).
fof(f1790,plain,
( ! [X0] :
( sk_c10 != inverse(sk_c10)
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1765,f1574]) ).
fof(f1795,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1790,f1300]) ).
fof(f1799,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| inverse(inverse(X0)) != inverse(sk_c10) )
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1795,f1300]) ).
fof(f1802,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1799,f1300]) ).
fof(f1804,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_33
| ~ spl0_35
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1802,f1299,f826,f816,f108,f533]) ).
fof(f1805,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f112,f1648]) ).
fof(f1876,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(superposition,[],[f1805,f174]) ).
fof(f1877,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1876]) ).
fof(f1879,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1877,f188]) ).
fof(f1883,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1879,f1648]) ).
fof(f1884,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1888,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[],[f115,f817]) ).
fof(f1889,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1888,f817]) ).
fof(f1892,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_33 ),
inference(superposition,[],[f1889,f174]) ).
fof(f1893,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f1892]) ).
fof(f1895,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1893,f188]) ).
fof(f1899,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1895,f1648]) ).
fof(f1900,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_33
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f120]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f155]) ).
cnf(s10,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s11,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f165]) ).
cnf(s12,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f170]) ).
cnf(s13,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f175]) ).
cnf(s14,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f176]) ).
cnf(s15,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f177]) ).
cnf(s16,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f178]) ).
cnf(s17,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f180]) ).
cnf(s19,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f181]) ).
cnf(s20,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f182]) ).
cnf(s21,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f183]) ).
cnf(s22,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f184]) ).
cnf(s23,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f189]) ).
cnf(s24,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f190]) ).
cnf(s25,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f191]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f192]) ).
cnf(s27,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s28,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s31,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s32,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f198]) ).
cnf(s33,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f203]) ).
cnf(s34,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f204]) ).
cnf(s35,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s36,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s37,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s38,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s39,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s40,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s41,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s42,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f212]) ).
cnf(s43,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f217]) ).
cnf(s44,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f218]) ).
cnf(s45,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s46,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f220]) ).
cnf(s47,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f221]) ).
cnf(s48,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f222]) ).
cnf(s49,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f223]) ).
cnf(s50,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s51,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s52,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f226]) ).
cnf(s53,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f384]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f409]) ).
cnf(s57,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f418]) ).
cnf(s63,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f488]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f506]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| spl0_28 ),
inference(sat_conversion,[],[f587]) ).
cnf(s124,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_28 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s170,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_35 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s182,plain,
( ~ spl0_15
| ~ spl0_35
| spl0_39 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s183,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35
| ~ spl0_39 ),
inference(sat_conversion,[],[f1704]) ).
cnf(s203,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s210,plain,
( ~ spl0_1
| spl0_28
| ~ spl0_33
| ~ spl0_35
| ~ spl0_39 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s228,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_35 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s231,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s233,plain,
spl0_4,
inference(rat,[],[s53,s7,s8,s9,s10,s11,s12]) ).
cnf(s234,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s231,s203,s170,s22,s32,s42,s52,s233]) ).
cnf(s235,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s231,s203,s170,s21,s31,s41,s51,s233]) ).
cnf(s236,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s55,s63,s57,s234,s235]) ).
cnf(s237,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s231,s203,s170,s18,s28,s38,s48,s233]) ).
cnf(s238,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s231,s203,s170,s17,s27,s37,s47,s233]) ).
cnf(s239,plain,
( ~ spl0_9
| ~ spl0_3
| ~ spl0_10 ),
inference(rat,[],[s231,s203,s170,s16,s26,s36,s46,s236,s233]) ).
cnf(s240,plain,
~ spl0_3,
inference(rat,[],[s239,s238,s237]) ).
cnf(s241,plain,
( spl0_18
| ~ spl0_2 ),
inference(rat,[],[s66,s49,s50,s51,s52]) ).
cnf(s242,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s66,s39,s40,s41,s42]) ).
cnf(s243,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s66,s29,s30,s31,s32]) ).
cnf(s244,plain,
( ~ spl0_16
| ~ spl0_35
| ~ spl0_2 ),
inference(rat,[],[s66,s19,s20,s21,s22,s228]) ).
cnf(s245,plain,
~ spl0_2,
inference(rat,[],[s244,s243,s170,s242,s241]) ).
cnf(s246,plain,
spl0_1,
inference(rat,[],[s2,s233,s240,s245]) ).
cnf(s247,plain,
( ~ spl0_35
| ~ spl0_16
| ~ spl0_15 ),
inference(rat,[],[s210,s183,s203,s182,s246,s233]) ).
cnf(s248,plain,
spl0_18,
inference(rat,[],[s124,s57,s75,s43,s44,s45,s46,s47,s48,s51,s52,s246]) ).
cnf(s249,plain,
spl0_17,
inference(rat,[],[s124,s57,s75,s33,s34,s35,s36,s37,s38,s41,s42,s246]) ).
cnf(s250,plain,
spl0_35,
inference(rat,[],[s170,s248,s249]) ).
cnf(s251,plain,
spl0_16,
inference(rat,[],[s124,s57,s75,s23,s24,s25,s26,s27,s28,s31,s32,s246]) ).
cnf(s252,plain,
~ spl0_15,
inference(rat,[],[s247,s250,s251]) ).
cnf(s253,plain,
spl0_14,
inference(rat,[],[s22,s252]) ).
cnf(s254,plain,
spl0_13,
inference(rat,[],[s21,s252]) ).
cnf(s257,plain,
spl0_10,
inference(rat,[],[s18,s252]) ).
cnf(s258,plain,
spl0_9,
inference(rat,[],[s17,s252]) ).
cnf(s259,plain,
spl0_8,
inference(rat,[],[s16,s252]) ).
cnf(s260,plain,
spl0_7,
inference(rat,[],[s15,s252]) ).
cnf(s261,plain,
spl0_6,
inference(rat,[],[s14,s252]) ).
cnf(s262,plain,
spl0_5,
inference(rat,[],[s13,s252]) ).
cnf(s263,plain,
spl0_28,
inference(rat,[],[s75,s254,s257,s258,s246,s253]) ).
cnf(s265,plain,
spl0_20,
inference(rat,[],[s57,s253,s254,s257,s258,s259]) ).
cnf(s266,plain,
$false,
inference(rat,[],[s124,s260,s261,s262,s263,s265]) ).
fof(f1904,plain,
$false,
inference(avatar_sat_refutation,[],[s266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP260-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n010.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 09:43:47 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.33 % (704742)Input is clausal, will run a generic CNF schedule.
% 3.23/1.33 % (704749)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3699553815:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.23/1.33 % (704747)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=241925532:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.23/1.33 % (704748)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3557277748:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.23/1.33 % (704750)lrs+10_1_sil=8000:sp=occurrence:random_seed=2889076490:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.23/1.33 % (704751)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2917121139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.23/1.33 % (704752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1295000687:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.23/1.33 % (704753)dis-21_1_sil=8000:lcm=predicate:random_seed=2231315344: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)
% 3.23/1.33 % (704753)Refutation not found, incomplete strategy
% 3.23/1.33 % (704753)------------------------------
% 3.23/1.33 % (704753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (704753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (704753)CaDiCaL version: 2.1.3
% 3.23/1.33 % (704753)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (704753)Time elapsed: 0.002 s
% 3.23/1.33 % (704753)Peak memory usage: 88 MB
% 3.23/1.33 % (704753)Instructions burned: 2 (million)
% 3.23/1.33 % (704750)Refutation not found, incomplete strategy
% 3.23/1.33 % (704750)------------------------------
% 3.23/1.33 % (704750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (704750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (704750)CaDiCaL version: 2.1.3
% 3.23/1.33 % (704750)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (704750)Time elapsed: 0.004 s
% 3.23/1.33 % (704750)Peak memory usage: 88 MB
% 3.23/1.33 % (704750)Instructions burned: 5 (million)
% 3.23/1.33 % (704752)First to succeed.
% 3.23/1.33 % (704752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-704742"
% 3.23/1.33 % (704751)Instruction limit reached!
% 3.23/1.33 % (704751)------------------------------
% 3.23/1.33 % (704751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (704751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (704751)CaDiCaL version: 2.1.3
% 3.23/1.33 % (704751)Termination reason: Instruction limit
% 3.23/1.33 % (704751)Termination phase: Saturation
% 3.23/1.33 % (704751)Time elapsed: 0.065 s
% 3.23/1.33 % (704751)Peak memory usage: 89 MB
% 3.23/1.33 % (704751)Instructions burned: 116 (million)
% 3.23/1.33 % (704761)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=3791460625:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.23/1.33 % (704761)Refutation not found, incomplete strategy
% 3.23/1.33 % (704761)------------------------------
% 3.23/1.33 % (704761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (704761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (704761)CaDiCaL version: 2.1.3
% 3.23/1.33 % (704761)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (704761)Time elapsed: 0.004 s
% 3.23/1.33 % (704761)Peak memory usage: 88 MB
% 3.23/1.33 % (704761)Instructions burned: 5 (million)
% 3.23/1.33 % (704750)------------------------------
% 3.23/1.33 % (704750)------------------------------
% 3.23/1.33 % (704753)------------------------------
% 3.23/1.33 % (704753)------------------------------
% 3.23/1.33 % (704752)Refutation found. Thanks to Tanya!
% 3.23/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.23/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.43 % (704752)------------------------------
% 3.75/1.43 % (704752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.43 % (704752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.43 % (704752)CaDiCaL version: 2.1.3
% 3.75/1.43 % (704752)Termination reason: Refutation
% 3.75/1.43 % (704752)Time elapsed: 0.038 s
% 3.75/1.43 % (704752)Peak memory usage: 90 MB
% 3.75/1.43 % (704752)Instructions burned: 62 (million)
% 3.75/1.43 % (704752)------------------------------
% 3.75/1.43 % (704752)------------------------------
% 3.75/1.43 % (704742)Success in time 0.453 s
% 3.75/1.43 % Vampire exiting
%------------------------------------------------------------------------------