%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP220-1 : 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 : n001.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 0.23s 0.54s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 89
% Syntax : Number of formulae : 493 ( 21 unt; 22 def)
% Number of atoms : 1557 ( 564 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1926 ( 862 ~;1042 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 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_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c1) = sk_c12
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f18,plain,
( inverse(sk_c1) = sk_c12
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( inverse(sk_c1) = sk_c12
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c3 = inverse(sk_c2)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f93,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f95]) ).
fof(f99,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f106,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f108,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f110,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f112,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f114,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f113]) ).
fof(f117,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f118,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f120,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f122,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f124,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f123]) ).
fof(f125,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
fof(f126,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f125]) ).
fof(f127,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).
fof(f128,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f127]) ).
fof(f129,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
fof(f130,plain,
( sk_c12 = inverse(sk_c4)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f129]) ).
fof(f131,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f132,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f131]) ).
fof(f135,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_67) ).
fof(f136,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f135]) ).
fof(f137,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_68) ).
fof(f138,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f137]) ).
fof(f139,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c10,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_69) ).
fof(f140,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c10,sk_c11) ),
inference(reorient_equations,[],[f139]) ).
fof(f141,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_70) ).
fof(f142,plain,
( sk_c12 = inverse(sk_c4)
| inverse(sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f141]) ).
fof(f143,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
fof(f144,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = inverse(sk_c8) ),
inference(reorient_equations,[],[f143]) ).
fof(f145,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_72) ).
fof(f146,plain,
( sk_c12 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f145]) ).
fof(f147,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| multiply(X0,sk_c11) != sk_c12
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| multiply(X2,sk_c12) != sk_c11
| multiply(sk_c12,X3) != sk_c11
| multiply(X4,sk_c12) != X3
| inverse(X4) != sk_c12
| inverse(sk_c12) != sk_c11
| inverse(X5) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_73) ).
fof(f148,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| sk_c11 != multiply(X2,sk_c12)
| sk_c11 != multiply(sk_c12,X3)
| multiply(X4,sk_c12) != X3
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(reorient_equations,[],[f147]) ).
fof(f149,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,X3)
| multiply(X4,sk_c12) != X3
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(equality_resolution,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(equality_resolution,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X8,X6,X9,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,inverse(X6))
| sk_c12 != multiply(inverse(X6),sk_c11)
| inverse(X8) != X9
| inverse(X6) != inverse(X9)
| multiply(X8,inverse(X6)) != X9 ),
inference(equality_resolution,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X8,X6,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,inverse(X6))
| sk_c12 != multiply(inverse(X6),sk_c11)
| inverse(X6) != inverse(inverse(X8))
| inverse(X8) != multiply(X8,inverse(X6)) ),
inference(equality_resolution,[],[f151]) ).
fof(f154,definition,
( spl0_1
<=> ! [X6,X8] :
( sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8))
| sk_c12 != multiply(inverse(X6),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f155,plain,
( ! [X8,X6] :
( sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| sk_c12 != multiply(inverse(X6),sk_c11)
| inverse(X6) != inverse(inverse(X8)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,definition,
( spl0_2
<=> ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f158,plain,
( ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,definition,
( spl0_3
<=> inverse(sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f161,plain,
( inverse(sk_c12) = sk_c11
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( inverse(sk_c12) != sk_c11
| spl0_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f164,definition,
( spl0_4
<=> ! [X4] :
( sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f165,plain,
( ! [X4] :
( sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,definition,
( spl0_5
<=> ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f168,plain,
( ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f152,f157,f167,f164,f160,f157,f154]) ).
fof(f171,definition,
( spl0_6
<=> sk_c8 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f175,definition,
( spl0_7
<=> sk_c12 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f177,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f146,f175,f171]) ).
fof(f180,definition,
( spl0_8
<=> sk_c10 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f182,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f144,f175,f180]) ).
fof(f185,definition,
( spl0_9
<=> inverse(sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f187,plain,
( inverse(sk_c9) = sk_c8
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f142,f175,f185]) ).
fof(f190,definition,
( spl0_10
<=> sk_c12 = multiply(sk_c10,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f192,plain,
( sk_c12 = multiply(sk_c10,sk_c11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f140,f175,f190]) ).
fof(f195,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f197,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f138,f175,f195]) ).
fof(f200,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f202,plain,
( sk_c12 = multiply(sk_c7,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f136,f175,f200]) ).
fof(f205,definition,
( spl0_13
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f207,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f210,definition,
( spl0_14
<=> sk_c12 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f212,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f132,f175,f210]) ).
fof(f214,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f130,f175,f160]) ).
fof(f216,definition,
( spl0_15
<=> sk_c5 = multiply(sk_c4,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f218,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f128,f216,f171]) ).
fof(f220,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f126,f216,f180]) ).
fof(f221,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f124,f216,f185]) ).
fof(f222,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f122,f216,f190]) ).
fof(f223,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f120,f216,f195]) ).
fof(f224,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f118,f216,f200]) ).
fof(f226,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f114,f216,f210]) ).
fof(f227,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f112,f216,f160]) ).
fof(f229,definition,
( spl0_16
<=> sk_c11 = multiply(sk_c12,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f231,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f110,f229,f171]) ).
fof(f233,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f108,f229,f180]) ).
fof(f234,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f106,f229,f185]) ).
fof(f235,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f104,f229,f190]) ).
fof(f236,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f102,f229,f195]) ).
fof(f237,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f100,f229,f200]) ).
fof(f239,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f96,f229,f210]) ).
fof(f240,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f94,f229,f160]) ).
fof(f242,definition,
( spl0_17
<=> sk_c11 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f90,f242,f180]) ).
fof(f247,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f88,f242,f185]) ).
fof(f248,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f86,f242,f190]) ).
fof(f249,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f84,f242,f195]) ).
fof(f250,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f82,f242,f200]) ).
fof(f251,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f80,f242,f205]) ).
fof(f252,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f78,f242,f210]) ).
fof(f255,definition,
( spl0_18
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f257,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f72,f255,f180]) ).
fof(f260,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f70,f255,f185]) ).
fof(f261,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f255,f190]) ).
fof(f262,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f255,f195]) ).
fof(f263,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f255,f200]) ).
fof(f264,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f62,f255,f205]) ).
fof(f265,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f255,f210]) ).
fof(f268,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f270,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f54,f268,f180]) ).
fof(f273,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f268,f185]) ).
fof(f274,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f50,f268,f190]) ).
fof(f275,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f268,f195]) ).
fof(f276,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f268,f200]) ).
fof(f277,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f268,f205]) ).
fof(f278,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f42,f268,f210]) ).
fof(f281,definition,
( spl0_20
<=> sk_c12 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f283,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f38,f281,f171]) ).
fof(f285,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f36,f281,f180]) ).
fof(f286,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f34,f281,f185]) ).
fof(f287,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f32,f281,f190]) ).
fof(f288,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f30,f281,f195]) ).
fof(f289,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f281,f200]) ).
fof(f290,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f26,f281,f205]) ).
fof(f291,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f24,f281,f210]) ).
fof(f292,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f22,f281,f160]) ).
fof(f294,definition,
( spl0_21
<=> inverse(sk_c1) = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f296,plain,
( inverse(sk_c1) = sk_c12
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f20,f294,f171]) ).
fof(f298,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f18,f294,f180]) ).
fof(f299,plain,
( spl0_9
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f294,f185]) ).
fof(f300,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f15,f294,f190]) ).
fof(f301,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f13,f294,f195]) ).
fof(f302,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f11,f294,f200]) ).
fof(f303,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f9,f294,f205]) ).
fof(f304,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f294,f210]) ).
fof(f305,plain,
( spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f5,f294,f160]) ).
fof(f306,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f158,f207]) ).
fof(f309,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f306]) ).
fof(f310,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f309,f212]) ).
fof(f311,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f312,plain,
( sk_c12 != sk_c12
| inverse(sk_c1) != sk_c12
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f158,f283]) ).
fof(f313,plain,
( inverse(sk_c1) != sk_c12
| ~ spl0_2
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f314,plain,
( $false
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f313,f296]) ).
fof(f315,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f316,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_21 ),
inference(superposition,[],[f3,f296]) ).
fof(f318,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f3,f197]) ).
fof(f319,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl0_9 ),
inference(superposition,[],[f3,f187]) ).
fof(f320,plain,
( identity = multiply(sk_c10,sk_c8)
| ~ spl0_8 ),
inference(superposition,[],[f3,f182]) ).
fof(f325,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f330,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sk_c8,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f173]) ).
fof(f334,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f325,f1]) ).
fof(f337,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c1,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f316]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_21 ),
inference(forward_demodulation,[],[f337,f1]) ).
fof(f341,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f318]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f375,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f342,f202]) ).
fof(f389,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c12)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f330,f375]) ).
fof(f393,plain,
( sk_c8 = multiply(sk_c8,sk_c12)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f389,f173]) ).
fof(f472,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f334,f3]) ).
fof(f473,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f334,f334]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c12),X0)
| ~ spl0_21 ),
inference(superposition,[],[f334,f338]) ).
fof(f479,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl0_21 ),
inference(superposition,[],[f334,f316]) ).
fof(f482,plain,
( sk_c5 = multiply(inverse(sk_c12),sk_c11)
| ~ spl0_16 ),
inference(superposition,[],[f334,f231]) ).
fof(f487,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c10),X0)
| ~ spl0_11 ),
inference(superposition,[],[f334,f342]) ).
fof(f488,plain,
( sk_c12 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f334,f375]) ).
fof(f489,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c12)
| ~ spl0_10 ),
inference(superposition,[],[f334,f192]) ).
fof(f490,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl0_11 ),
inference(superposition,[],[f334,f318]) ).
fof(f491,plain,
( sk_c8 = multiply(inverse(sk_c10),identity)
| ~ spl0_8 ),
inference(superposition,[],[f334,f320]) ).
fof(f492,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f334,f173]) ).
fof(f494,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f334,f319]) ).
fof(f502,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f334,f218]) ).
fof(f507,plain,
( sk_c12 = multiply(sk_c12,sk_c5)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f502,f177]) ).
fof(f514,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f494,f182]) ).
fof(f516,plain,
( sk_c10 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f492,f187]) ).
fof(f517,plain,
( sk_c7 = sk_c8
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f490,f491]) ).
fof(f519,plain,
( identity = sk_c12
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f488,f3]) ).
fof(f529,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f472,f473]) ).
fof(f551,plain,
( sk_c12 = multiply(sk_c8,sk_c10)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f202,f517]) ).
fof(f575,plain,
( sk_c11 = multiply(sk_c7,sk_c12)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f489,f487]) ).
fof(f580,plain,
( sk_c11 = multiply(sk_c8,sk_c12)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f575,f517]) ).
fof(f585,plain,
( multiply(sk_c1,sk_c11) = sk_c5
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f482,f476]) ).
fof(f588,plain,
( sk_c12 = sk_c5
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f585,f283]) ).
fof(f591,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f507,f588]) ).
fof(f593,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f231,f507]) ).
fof(f596,plain,
( sk_c5 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f334,f507]) ).
fof(f598,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f596,f3]) ).
fof(f601,plain,
( identity = sk_c12
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f598,f588]) ).
fof(f607,plain,
( multiply(sk_c8,identity) = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f330,f514]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(identity,X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f4,f514]) ).
fof(f610,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,X0)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f609,f1]) ).
fof(f612,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f607,f529]) ).
fof(f614,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f612,f610]) ).
fof(f624,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f1,f601]) ).
fof(f662,plain,
( sk_c1 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f479,f601]) ).
fof(f667,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f662,f3]) ).
fof(f668,plain,
( sk_c1 = sk_c12
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f667,f601]) ).
fof(f673,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f296,f668]) ).
fof(f758,plain,
( sk_c12 != sk_c11
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f162,f673]) ).
fof(f763,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f758,f593]) ).
fof(f764,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f833,plain,
( ! [X8,X6] :
( sk_c12 != multiply(inverse(X6),sk_c12)
| sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f155,f593]) ).
fof(f870,plain,
( ! [X0] :
( identity != inverse(inverse(inverse(X0)))
| sk_c12 != multiply(inverse(X0),sk_c12)
| sk_c12 != multiply(X0,inverse(X0))
| inverse(X0) != inverse(inverse(inverse(inverse(X0)))) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f833,f3]) ).
fof(f874,plain,
( ! [X0] :
( sk_c12 != multiply(X0,inverse(X0))
| inverse(X0) != inverse(inverse(inverse(inverse(X0))))
| sk_c12 != inverse(inverse(inverse(X0)))
| sk_c12 != multiply(inverse(X0),sk_c12) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f870,f601]) ).
fof(f940,plain,
( sk_c12 != inverse(inverse(inverse(sk_c12)))
| sk_c12 != multiply(sk_c4,sk_c12)
| sk_c12 != inverse(inverse(sk_c12))
| sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f874,f177]) ).
fof(f942,plain,
( sk_c12 != inverse(inverse(inverse(sk_c12)))
| sk_c12 != multiply(sk_c4,sk_c12)
| sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f940,f591]) ).
fof(f948,plain,
( sk_c12 != inverse(inverse(sk_c12))
| sk_c12 != multiply(sk_c4,sk_c12)
| sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f942,f673]) ).
fof(f949,plain,
( sk_c12 != inverse(inverse(sk_c12))
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f948]) ).
fof(f955,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f949,f673]) ).
fof(f961,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f955,f673]) ).
fof(f967,plain,
( sk_c12 != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f961,f218]) ).
fof(f972,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f967,f588]) ).
fof(f973,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f982,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c12)
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f165,f624]) ).
fof(f983,plain,
( ! [X4] :
( sk_c12 != multiply(X4,sk_c12)
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f982,f593]) ).
fof(f985,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f334,f614]) ).
fof(f988,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f985,f487]) ).
fof(f990,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f988,f517]) ).
fof(f992,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f990,f516]) ).
fof(f995,plain,
( identity != sk_c12
| sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f983,f3]) ).
fof(f1007,plain,
( sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f995,f601]) ).
fof(f1014,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1007,f673]) ).
fof(f1019,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1014,f673]) ).
fof(f1020,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1079,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f3,f212]) ).
fof(f1168,plain,
( sk_c11 != multiply(sk_c9,sk_c8)
| sk_c11 != multiply(sk_c8,sk_c12)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f168,f187]) ).
fof(f1170,plain,
( sk_c11 != multiply(sk_c2,sk_c3)
| sk_c11 != multiply(sk_c3,sk_c12)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f168,f257]) ).
fof(f1192,plain,
( sk_c11 != multiply(sk_c3,sk_c12)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1170,f270]) ).
fof(f1194,plain,
( sk_c11 != multiply(sk_c10,sk_c8)
| sk_c11 != multiply(sk_c8,sk_c12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1168,f610]) ).
fof(f1209,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1192,f244]) ).
fof(f1210,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1212,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c8,sk_c12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1194,f320]) ).
fof(f1272,plain,
( sk_c12 != sk_c11
| sk_c11 != multiply(sk_c8,sk_c12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1212,f519]) ).
fof(f1274,plain,
( sk_c12 = multiply(sk_c12,sk_c6)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1079,f519]) ).
fof(f1291,definition,
( spl0_24
<=> sk_c12 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1292,plain,
( sk_c12 = sk_c11
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1293,plain,
( sk_c12 != sk_c11
| spl0_24 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1318,plain,
( sk_c11 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f393,f580]) ).
fof(f1344,plain,
( sk_c1 = multiply(sk_c11,identity)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f479,f161]) ).
fof(f1352,plain,
( sk_c1 = sk_c11
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1344,f529]) ).
fof(f1373,plain,
( sk_c1 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f479,f519]) ).
fof(f1375,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1,f519]) ).
fof(f1377,plain,
( identity = sk_c1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1373,f3]) ).
fof(f1379,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1377,f1352]) ).
fof(f1381,plain,
( sk_c12 = sk_c11
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1379,f519]) ).
fof(f1383,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f1381,f1293]) ).
fof(f1384,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1386,plain,
( sk_c11 != multiply(sk_c8,sk_c12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1272,f1292]) ).
fof(f1395,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1386,f580]) ).
fof(f1396,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1455,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f187,f992]) ).
fof(f1456,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1455,f1318]) ).
fof(f1459,plain,
( sk_c6 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f334,f1274]) ).
fof(f1462,plain,
( identity = sk_c6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1459,f3]) ).
fof(f1464,plain,
( sk_c12 = sk_c6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1462,f519]) ).
fof(f1466,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f207,f1464]) ).
fof(f1467,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f212,f1464]) ).
fof(f1468,plain,
( sk_c12 = sk_c11
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1466,f1375]) ).
fof(f1469,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f1468,f1293]) ).
fof(f1470,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1488,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c10,sk_c11)
| sk_c12 != multiply(sk_c8,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f155,f182]) ).
fof(f1501,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c8,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1488,f192]) ).
fof(f1520,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1501,f551]) ).
fof(f1592,plain,
( sk_c10 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f182,f1318]) ).
fof(f1601,plain,
( inverse(sk_c12) = sk_c10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1592,f1292]) ).
fof(f1603,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1601,f161]) ).
fof(f1605,plain,
( sk_c12 = sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1603,f1292]) ).
fof(f1818,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1520,f197]) ).
fof(f1825,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1818,f1456]) ).
fof(f1833,plain,
( sk_c12 != sk_c11
| sk_c10 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1825,f1605]) ).
fof(f1839,plain,
( sk_c10 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1833,f1292]) ).
fof(f1845,plain,
( sk_c12 != multiply(sk_c7,sk_c12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1839,f1605]) ).
fof(f1854,plain,
( sk_c12 != multiply(sk_c8,sk_c12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1845,f517]) ).
fof(f1858,plain,
( sk_c12 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1854,f580]) ).
fof(f1861,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1858,f1292]) ).
fof(f1862,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1863,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c12)
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f165,f1375]) ).
fof(f1864,plain,
( ! [X4] :
( sk_c12 != multiply(X4,sk_c12)
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1863,f1292]) ).
fof(f1881,plain,
( identity != sk_c12
| sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f1864,f3]) ).
fof(f1892,plain,
( sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1881,f519]) ).
fof(f1899,plain,
( sk_c12 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1892,f161]) ).
fof(f1904,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1899,f1292]) ).
fof(f1905,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1904,f1467]) ).
fof(f1906,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f169]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f178]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f183]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f188]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f193]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f198]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f203]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f213]) ).
cnf(s11,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f214]) ).
cnf(s12,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f219]) ).
cnf(s13,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f220]) ).
cnf(s14,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f221]) ).
cnf(s15,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f222]) ).
cnf(s16,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f223]) ).
cnf(s17,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f224]) ).
cnf(s19,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f226]) ).
cnf(s20,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f227]) ).
cnf(s21,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f232]) ).
cnf(s22,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f233]) ).
cnf(s23,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f234]) ).
cnf(s24,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f235]) ).
cnf(s25,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f236]) ).
cnf(s26,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f237]) ).
cnf(s28,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f239]) ).
cnf(s29,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f240]) ).
cnf(s31,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f246]) ).
cnf(s32,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f247]) ).
cnf(s33,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f248]) ).
cnf(s34,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f249]) ).
cnf(s35,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f250]) ).
cnf(s36,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f251]) ).
cnf(s37,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f252]) ).
cnf(s40,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f259]) ).
cnf(s41,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f260]) ).
cnf(s42,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f261]) ).
cnf(s43,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f262]) ).
cnf(s44,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f263]) ).
cnf(s45,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f264]) ).
cnf(s46,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f265]) ).
cnf(s49,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f272]) ).
cnf(s50,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f273]) ).
cnf(s51,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f274]) ).
cnf(s52,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f275]) ).
cnf(s53,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f276]) ).
cnf(s54,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f277]) ).
cnf(s55,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f278]) ).
cnf(s57,plain,
( spl0_6
| spl0_20 ),
inference(sat_conversion,[],[f284]) ).
cnf(s58,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f285]) ).
cnf(s59,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f286]) ).
cnf(s60,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f287]) ).
cnf(s61,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f288]) ).
cnf(s62,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f289]) ).
cnf(s63,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f290]) ).
cnf(s64,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f291]) ).
cnf(s65,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f292]) ).
cnf(s66,plain,
( spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f297]) ).
cnf(s67,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f298]) ).
cnf(s68,plain,
( spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f299]) ).
cnf(s69,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f300]) ).
cnf(s70,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f301]) ).
cnf(s71,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f302]) ).
cnf(s72,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f303]) ).
cnf(s73,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f304]) ).
cnf(s74,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f305]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f311]) ).
cnf(s76,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f315]) ).
cnf(s81,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f764]) ).
cnf(s96,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f973]) ).
cnf(s103,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s108,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s135,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21
| spl0_24 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s138,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s143,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s154,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s159,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_24 ),
inference(sat_conversion,[],[f1906]) ).
cnf(s160,plain,
spl0_3,
inference(rat,[],[s81,s11,s20,s29,s65,s74]) ).
cnf(s162,plain,
( spl0_19
| ~ spl0_5 ),
inference(rat,[],[s143,s138,s49,s50,s51,s52,s53,s54,s55]) ).
cnf(s163,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s143,s138,s40,s41,s42,s43,s44,s45,s46]) ).
cnf(s164,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_5 ),
inference(rat,[],[s143,s138,s31,s32,s33,s34,s35,s36,s37,s108]) ).
cnf(s165,plain,
~ spl0_5,
inference(rat,[],[s164,s163,s162]) ).
cnf(s167,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s143,s159,s160]) ).
cnf(s168,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s103,s10,s19,s28,s64,s73]) ).
cnf(s169,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s72,s135,s167,s159,s160]) ).
cnf(s170,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s103,s8,s17,s26,s62,s71]) ).
cnf(s171,plain,
( ~ spl0_12
| ~ spl0_4
| ~ spl0_14 ),
inference(rat,[],[s103,s7,s16,s25,s61,s70,s169]) ).
cnf(s172,plain,
~ spl0_4,
inference(rat,[],[s171,s170,s168]) ).
cnf(s174,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s76,s64,s73]) ).
cnf(s175,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s76,s63,s72,s75]) ).
cnf(s176,plain,
~ spl0_2,
inference(rat,[],[s175,s174]) ).
cnf(s177,plain,
spl0_1,
inference(rat,[],[s2,s165,s160,s172,s176]) ).
cnf(s178,plain,
( spl0_16
| ~ spl0_24
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s154,s21,s22,s23,s24,s160,s177]) ).
cnf(s179,plain,
( spl0_15
| ~ spl0_24
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s154,s12,s13,s14,s15,s160,s177]) ).
cnf(s180,plain,
( spl0_7
| ~ spl0_24
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s154,s3,s4,s5,s6,s160,s177]) ).
cnf(s181,plain,
( spl0_20
| ~ spl0_24
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s154,s57,s58,s59,s60,s160,s177]) ).
cnf(s182,plain,
( ~ spl0_24
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s154,s66,s67,s68,s69,s96,s181,s180,s179,s178,s177,s160]) ).
cnf(s183,plain,
( spl0_24
| ~ spl0_12
| ~ spl0_11
| ~ spl0_14 ),
inference(rat,[],[s72,s135,s143,s160]) ).
cnf(s184,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_14 ),
inference(rat,[],[s183,s182]) ).
cnf(s185,plain,
spl0_12,
inference(rat,[],[s96,s8,s17,s26,s62,s71,s177]) ).
cnf(s186,plain,
spl0_11,
inference(rat,[],[s96,s7,s16,s25,s61,s70,s177]) ).
cnf(s187,plain,
~ spl0_14,
inference(rat,[],[s184,s185,s186]) ).
cnf(s188,plain,
~ spl0_24,
inference(rat,[],[s182,s185,s186]) ).
cnf(s189,plain,
spl0_21,
inference(rat,[],[s73,s187]) ).
cnf(s197,plain,
$false,
inference(rat,[],[s135,s185,s186,s160,s189,s188]) ).
fof(f1907,plain,
$false,
inference(avatar_sat_refutation,[],[s197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP220-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 09:43:30 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 Running first-order model finding
% 0.16/0.47 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
% 0.23/0.54 % (3304946)Will run a generic schedule for satisfiability detection.
% 0.23/0.54 % (3304955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1857253437:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.54 % (3304951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4180943989_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.54 % (3304952)% WARNING: option uhcvi not known.
% 0.23/0.54 % TRYING [1]
% 0.23/0.54 % TRYING [2]
% 0.23/0.54 % (3304954)dis+10_1_sil=32000:sp=arity:random_seed=3569323029:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.54 % (3304952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1295434286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.54 % TRYING [3]
% 0.23/0.54 % (3304953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=407530721:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.54 % (3304956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3489457663:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.54 % (3304957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=60596938:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.54 % TRYING [4]
% 0.23/0.54 % (3304955) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3304946-3304955"...
% 0.23/0.54 % TRYING [5]
% 0.23/0.54 % (3304955)...printing done.
% 0.23/0.54 % (3304955)Refutation found. Thanks to Tanya!
% 0.23/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54 % (3304955)------------------------------
% 0.23/0.54 % (3304955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.54 % (3304955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.54 % (3304955)CaDiCaL version: 2.1.3
% 0.23/0.54 % (3304955)Termination reason: Refutation
% 0.23/0.54 % (3304955)Time elapsed: 0.031 s
% 0.23/0.54 % (3304955)Peak memory usage: 13 MB
% 0.23/0.54 % (3304955)Instructions burned: 57 (million)
% 0.23/0.54 % (3304946)Success in time 0.059 s
% 0.23/0.54 % Vampire exiting
%------------------------------------------------------------------------------