%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP312-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:13:37 AM UTC 2026
% Result : Unsatisfiable 2.62s 1.30s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 92
% Syntax : Number of formulae : 576 ( 30 unt; 37 def)
% Number of atoms : 1830 ( 560 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 2342 (1088 ~;1217 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 38 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f44,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c12 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c12 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f60]) ).
fof(f68,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f74]) ).
fof(f88,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f94]) ).
fof(f104,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f104]) ).
fof(f106,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f107,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f106]) ).
fof(f108,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f109,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f108]) ).
fof(f110,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f111,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f110]) ).
fof(f112,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f113,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f112]) ).
fof(f114,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f115,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f114]) ).
fof(f116,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f117,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f116]) ).
fof(f118,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f119,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f118]) ).
fof(f120,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f121,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f120]) ).
fof(f124,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f125,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f124]) ).
fof(f126,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
fof(f127,plain,
( sk_c11 = inverse(sk_c3)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f126]) ).
fof(f128,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).
fof(f129,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f128]) ).
fof(f130,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
fof(f131,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f130]) ).
fof(f132,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f133,plain,
( sk_c11 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f132]) ).
fof(f134,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).
fof(f135,plain,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f134]) ).
fof(f136,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_67) ).
fof(f137,plain,
( sk_c11 = inverse(sk_c3)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f136]) ).
fof(f138,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_68) ).
fof(f139,plain,
( sk_c11 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f138]) ).
fof(f140,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_69) ).
fof(f141,plain,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f140]) ).
fof(f142,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_70) ).
fof(f143,plain,
( sk_c11 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f142]) ).
fof(f144,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| inverse(X2) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X3) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| inverse(X4) != sk_c11
| multiply(X5,X6) != sk_c12
| inverse(X5) != X6
| multiply(X6,sk_c11) != sk_c12
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
fof(f145,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c12 != multiply(X6,sk_c11)
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
inference(reorient_equations,[],[f144]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X7) != X8
| inverse(X5) != inverse(X8)
| multiply(X7,inverse(X5)) != X8 ),
inference(equality_resolution,[],[f145]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X5) != inverse(inverse(X7))
| inverse(X7) != multiply(X7,inverse(X5)) ),
inference(equality_resolution,[],[f146]) ).
fof(f149,definition,
( spl0_1
<=> ! [X5,X7] :
( sk_c12 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(inverse(X5),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f150,plain,
( ! [X7,X5] :
( sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(X5,inverse(X5)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f153,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,definition,
( spl0_3
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f156,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,definition,
( spl0_4
<=> ! [X2] :
( sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f159,plain,
( ! [X2] :
( sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,definition,
( spl0_5
<=> multiply(sk_c11,sk_c12) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f162,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( multiply(sk_c11,sk_c12) != sk_c10
| spl0_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_2
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f147,f161,f155,f152,f158,f155,f152,f149]) ).
fof(f166,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f168,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl0_7
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f172,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f143,f170,f166]) ).
fof(f175,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f177,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f141,f170,f175]) ).
fof(f180,definition,
( spl0_9
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f182,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f139,f170,f180]) ).
fof(f185,definition,
( spl0_10
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f187,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f137,f170,f185]) ).
fof(f190,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f192,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f135,f170,f190]) ).
fof(f195,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f197,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f133,f170,f195]) ).
fof(f200,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f202,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f131,f170,f200]) ).
fof(f205,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f207,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f208,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f129,f170,f205]) ).
fof(f210,definition,
( spl0_15
<=> sk_c12 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f212,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f127,f170,f210]) ).
fof(f215,definition,
( spl0_16
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f217,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f125,f170,f215]) ).
fof(f220,definition,
( spl0_17
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f221,plain,
( sk_c12 != multiply(sk_c3,sk_c11)
| spl0_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f224,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f121,f220,f175]) ).
fof(f225,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f119,f220,f180]) ).
fof(f226,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f117,f220,f185]) ).
fof(f227,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f115,f220,f190]) ).
fof(f228,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f113,f220,f195]) ).
fof(f229,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f111,f220,f200]) ).
fof(f230,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f109,f220,f205]) ).
fof(f231,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f107,f220,f210]) ).
fof(f232,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f105,f220,f215]) ).
fof(f234,definition,
( spl0_18
<=> sk_c11 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f236,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f241,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f95,f234,f190]) ).
fof(f242,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f93,f234,f195]) ).
fof(f243,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f91,f234,f200]) ).
fof(f244,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f89,f234,f205]) ).
fof(f248,definition,
( spl0_19
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f250,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f255,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f75,f248,f190]) ).
fof(f256,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f73,f248,f195]) ).
fof(f257,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f71,f248,f200]) ).
fof(f258,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f69,f248,f205]) ).
fof(f262,definition,
( spl0_20
<=> sk_c12 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f264,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f61,f262,f175]) ).
fof(f267,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f59,f262,f180]) ).
fof(f268,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f57,f262,f185]) ).
fof(f269,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f55,f262,f190]) ).
fof(f270,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f53,f262,f195]) ).
fof(f271,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f51,f262,f200]) ).
fof(f272,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f49,f262,f205]) ).
fof(f273,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f47,f262,f210]) ).
fof(f274,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f45,f262,f215]) ).
fof(f276,definition,
( spl0_21
<=> sk_c11 = multiply(sk_c1,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f278,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f41,f276,f175]) ).
fof(f281,plain,
( spl0_9
| spl0_21 ),
inference(avatar_split_clause,[],[f39,f276,f180]) ).
fof(f282,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f37,f276,f185]) ).
fof(f283,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f35,f276,f190]) ).
fof(f284,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f33,f276,f195]) ).
fof(f285,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f31,f276,f200]) ).
fof(f286,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f29,f276,f205]) ).
fof(f287,plain,
( spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f27,f276,f210]) ).
fof(f288,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f25,f276,f215]) ).
fof(f293,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f161,f190]) ).
fof(f294,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f161,f195]) ).
fof(f295,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f161,f200]) ).
fof(f296,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f161,f205]) ).
fof(f297,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f161,f210]) ).
fof(f298,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f161,f215]) ).
fof(f299,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f212]) ).
fof(f300,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_13 ),
inference(superposition,[],[f3,f202]) ).
fof(f302,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f3,f182]) ).
fof(f306,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_16 ),
inference(superposition,[],[f4,f217]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f197]) ).
fof(f312,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f306,f1]) ).
fof(f315,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f299]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f329,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f316,f217]) ).
fof(f338,plain,
( multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f307,f329]) ).
fof(f340,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f338,f217]) ).
fof(f341,plain,
( multiply(sk_c12,sk_c11) = multiply(sk_c6,sk_c12)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f309,f187]) ).
fof(f346,plain,
( sk_c12 = multiply(sk_c6,sk_c12)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f341,f329]) ).
fof(f376,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl0_13 ),
inference(superposition,[],[f312,f300]) ).
fof(f378,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl0_15 ),
inference(superposition,[],[f312,f299]) ).
fof(f380,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f312,f329]) ).
fof(f384,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_14 ),
inference(superposition,[],[f312,f207]) ).
fof(f386,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_12 ),
inference(superposition,[],[f312,f197]) ).
fof(f395,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f312,f302]) ).
fof(f398,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f395,f177]) ).
fof(f403,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f386,f192]) ).
fof(f405,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f384,f202]) ).
fof(f409,plain,
( identity = sk_c11
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f380,f3]) ).
fof(f412,plain,
( multiply(sk_c9,sk_c11) = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f398,f409]) ).
fof(f413,plain,
( sk_c12 = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f412,f187]) ).
fof(f417,plain,
( sk_c7 = inverse(sk_c12)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f182,f413]) ).
fof(f423,plain,
( multiply(sk_c6,sk_c9) = multiply(sk_c12,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f309,f403]) ).
fof(f424,plain,
( sk_c12 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f312,f403]) ).
fof(f426,plain,
( identity = sk_c12
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f424,f3]) ).
fof(f427,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f423,f197]) ).
fof(f429,plain,
( sk_c11 = sk_c12
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f426,f409]) ).
fof(f430,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f163,f429]) ).
fof(f436,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f346,f429]) ).
fof(f437,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f403,f429]) ).
fof(f438,plain,
( sk_c12 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f437,f187]) ).
fof(f440,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f430,f340]) ).
fof(f441,plain,
( sk_c11 = sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f438,f429]) ).
fof(f444,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f312,f405]) ).
fof(f446,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f444,f3]) ).
fof(f449,plain,
( sk_c11 = sk_c10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f446,f409]) ).
fof(f453,plain,
( sk_c5 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f376,f409]) ).
fof(f454,plain,
( identity = sk_c5
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f453,f3]) ).
fof(f455,plain,
( sk_c11 = sk_c5
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f454,f409]) ).
fof(f459,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f202,f455]) ).
fof(f463,plain,
( sk_c4 = multiply(inverse(sk_c12),sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f378,f409]) ).
fof(f464,plain,
( sk_c4 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f463,f429]) ).
fof(f465,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f464,f3]) ).
fof(f466,plain,
( sk_c11 = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f465,f409]) ).
fof(f479,plain,
( $false
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f440,f449]) ).
fof(f480,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f481,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c12 != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f156,f429]) ).
fof(f482,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f162,f449]) ).
fof(f483,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f481,f429]) ).
fof(f485,plain,
( sk_c11 != sk_c12
| sk_c11 != multiply(sk_c4,sk_c11)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f483,f212]) ).
fof(f496,definition,
( spl0_23
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f497,plain,
( sk_c11 = sk_c9
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f502,definition,
( spl0_24
<=> sk_c11 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f503,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f507,plain,
( sk_c11 != multiply(sk_c4,sk_c11)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f485,f429]) ).
fof(f511,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f507,f466]) ).
fof(f513,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f511,f340]) ).
fof(f514,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f519,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f172]) ).
fof(f520,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f519,f409]) ).
fof(f527,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c12)
| ~ spl0_17 ),
inference(superposition,[],[f312,f222]) ).
fof(f529,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f527,f172]) ).
fof(f533,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_21 ),
inference(superposition,[],[f312,f278]) ).
fof(f535,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f533,f264]) ).
fof(f541,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f312,f482]) ).
fof(f543,plain,
( identity = sk_c12
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f541,f3]) ).
fof(f546,plain,
( sk_c11 = sk_c12
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f543,f409]) ).
fof(f556,plain,
( sk_c7 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f417,f546]) ).
fof(f558,plain,
( sk_c11 = sk_c7
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f556,f459]) ).
fof(f568,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f312,f520]) ).
fof(f570,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f568,f3]) ).
fof(f572,plain,
( sk_c11 = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f570,f409]) ).
fof(f597,definition,
( spl0_26
<=> sk_c11 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f598,plain,
( sk_c11 = sk_c7
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f614,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f250]) ).
fof(f619,plain,
( sk_c12 != sk_c12
| sk_c11 != multiply(sk_c1,sk_c12)
| ~ spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f156,f264]) ).
fof(f622,plain,
( sk_c11 != multiply(sk_c1,sk_c12)
| ~ spl0_3
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f619]) ).
fof(f628,definition,
( spl0_28
<=> sk_c11 = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f629,plain,
( sk_c11 = sk_c12
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( sk_c11 != sk_c12
| spl0_28 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f637,plain,
( $false
| ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f622,f278]) ).
fof(f638,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f662,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f519,f446]) ).
fof(f663,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c5,sk_c11) )
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f150,f202]) ).
fof(f666,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c1,sk_c12) )
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f150,f264]) ).
fof(f673,plain,
( ! [X0] :
( sk_c11 != sk_c12
| sk_c12 != multiply(sk_c12,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f666,f278]) ).
fof(f686,plain,
( ! [X0] :
( sk_c12 != sk_c10
| sk_c12 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f663,f207]) ).
fof(f695,definition,
( spl0_40
<=> sk_c12 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f696,plain,
( sk_c12 = sk_c10
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( sk_c12 != sk_c10
| spl0_40 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f700,definition,
( spl0_41
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f701,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f703,definition,
( spl0_42
<=> sk_c12 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f705,plain,
( sk_c12 != multiply(sk_c11,sk_c11)
| spl0_42 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f712,definition,
( spl0_44
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f713,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f714,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| spl0_44 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f716,plain,
( spl0_41
| ~ spl0_42
| ~ spl0_40
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f686,f205,f200,f149,f695,f703,f700]) ).
fof(f747,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f529,f162]) ).
fof(f751,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f312,f529]) ).
fof(f753,plain,
( identity = sk_c12
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f751,f3]) ).
fof(f766,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f614,f747]) ).
fof(f773,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f766,f662]) ).
fof(f778,plain,
( sk_c11 = multiply(sk_c2,sk_c11)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f773,f747]) ).
fof(f785,plain,
( sk_c12 = sk_c10
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f446,f753]) ).
fof(f792,plain,
( sk_c11 = sk_c12
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f785,f747]) ).
fof(f801,plain,
( spl0_28
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f792,f220,f205,f200,f170,f161,f628]) ).
fof(f804,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f278,f629]) ).
fof(f823,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f713,f629]) ).
fof(f830,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_28
| ~ spl0_44 ),
inference(superposition,[],[f312,f823]) ).
fof(f831,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| ~ spl0_28
| ~ spl0_44 ),
inference(superposition,[],[f4,f823]) ).
fof(f832,plain,
( identity = sk_c11
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f830,f3]) ).
fof(f841,plain,
( sk_c11 != inverse(sk_c7)
| sk_c7 != multiply(sk_c8,sk_c11)
| ~ spl0_9
| ~ spl0_41 ),
inference(superposition,[],[f701,f182]) ).
fof(f845,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_7
| ~ spl0_41 ),
inference(superposition,[],[f701,f172]) ).
fof(f846,plain,
( sk_c11 != sk_c12
| sk_c11 != inverse(sk_c11)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_41 ),
inference(forward_demodulation,[],[f845,f222]) ).
fof(f858,plain,
( sk_c11 != sk_c9
| sk_c7 != multiply(sk_c8,sk_c11)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_demodulation,[],[f841,f177]) ).
fof(f860,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f846,f629]) ).
fof(f864,definition,
( spl0_47
<=> sk_c7 = multiply(sk_c8,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f867,plain,
( ~ spl0_47
| ~ spl0_23
| ~ spl0_8
| ~ spl0_9
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f858,f700,f180,f175,f496,f864]) ).
fof(f883,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_28
| ~ spl0_44 ),
inference(superposition,[],[f831,f162]) ).
fof(f900,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f883,f405]) ).
fof(f936,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(X2,sk_c11) )
| ~ spl0_4
| ~ spl0_28 ),
inference(forward_demodulation,[],[f159,f629]) ).
fof(f939,plain,
( sk_c11 != sk_c9
| sk_c11 != multiply(sk_c7,sk_c11)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_28 ),
inference(superposition,[],[f936,f177]) ).
fof(f940,plain,
( sk_c11 != sk_c12
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_28 ),
inference(superposition,[],[f936,f264]) ).
fof(f949,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f940,f629]) ).
fof(f954,plain,
( $false
| ~ spl0_4
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f949,f804]) ).
fof(f955,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f958,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f153,f747]) ).
fof(f968,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c5,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f958,f202]) ).
fof(f972,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f958,f236]) ).
fof(f973,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f958,f172]) ).
fof(f974,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f973]) ).
fof(f975,plain,
( sk_c11 != multiply(sk_c2,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f972]) ).
fof(f976,plain,
( sk_c11 != multiply(sk_c5,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f968]) ).
fof(f978,plain,
( sk_c11 != sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f974,f222]) ).
fof(f979,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f975,f778]) ).
fof(f980,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f983,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f976,f207]) ).
fof(f986,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f978,f629]) ).
fof(f987,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f990,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f983,f747]) ).
fof(f991,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f992,plain,
( ! [X7,X5] :
( sk_c11 != multiply(inverse(X5),sk_c11)
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_28 ),
inference(forward_demodulation,[],[f150,f629]) ).
fof(f1007,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f558,f215,f210,f205,f200,f185,f180,f175,f161,f597]) ).
fof(f1012,plain,
( spl0_24
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f436,f215,f210,f195,f190,f185,f502]) ).
fof(f1016,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_demodulation,[],[f427,f629]) ).
fof(f1023,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_28
| spl0_42 ),
inference(forward_demodulation,[],[f705,f629]) ).
fof(f1024,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_28
| spl0_44 ),
inference(forward_demodulation,[],[f714,f629]) ).
fof(f1027,plain,
( ! [X7,X5] :
( sk_c11 != multiply(inverse(X5),sk_c11)
| sk_c11 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7)) )
| ~ spl0_1
| ~ spl0_28 ),
inference(forward_demodulation,[],[f992,f629]) ).
fof(f1035,definition,
( spl0_48
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f1036,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1044,plain,
( spl0_48
| ~ spl0_11
| ~ spl0_12
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1016,f628,f195,f190,f1035]) ).
fof(f1047,plain,
( ~ spl0_48
| ~ spl0_28
| spl0_42 ),
inference(avatar_split_clause,[],[f1023,f703,f628,f1035]) ).
fof(f1048,plain,
( ~ spl0_48
| ~ spl0_28
| spl0_44 ),
inference(avatar_split_clause,[],[f1024,f712,f628,f1035]) ).
fof(f1054,definition,
( spl0_50
<=> sk_c11 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f1055,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1056,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| spl0_50 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1079,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| spl0_17
| ~ spl0_28 ),
inference(forward_demodulation,[],[f221,f629]) ).
fof(f1085,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f441,f215,f210,f195,f190,f185,f496]) ).
fof(f1086,plain,
( sk_c11 = sk_c10
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_demodulation,[],[f696,f629]) ).
fof(f1092,plain,
( sk_c7 = multiply(sk_c8,sk_c11)
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f168,f497]) ).
fof(f1100,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1092,f496,f166,f864]) ).
fof(f1102,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f192,f497]) ).
fof(f1165,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_17
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1079,f572]) ).
fof(f1166,plain,
( ~ spl0_48
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_17
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1165,f628,f220,f215,f210,f170,f1035]) ).
fof(f1167,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| ~ spl0_2
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_demodulation,[],[f153,f1086]) ).
fof(f1169,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c5,sk_c11)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_28
| ~ spl0_40 ),
inference(superposition,[],[f1167,f202]) ).
fof(f1176,plain,
( sk_c11 != multiply(sk_c5,sk_c11)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_28
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1169]) ).
fof(f1183,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1176,f207]) ).
fof(f1188,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1183,f1086]) ).
fof(f1189,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1191,plain,
( sk_c11 != sk_c10
| ~ spl0_28
| spl0_40 ),
inference(forward_demodulation,[],[f697,f629]) ).
fof(f1220,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| spl0_40
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f900,f1191]) ).
fof(f1221,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| spl0_40
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1226,plain,
( sk_c11 != multiply(sk_c7,sk_c11)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_23
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f939,f497]) ).
fof(f1231,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_23
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1226,f598]) ).
fof(f1232,plain,
( ~ spl0_48
| ~ spl0_4
| ~ spl0_8
| ~ spl0_23
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1231,f628,f597,f496,f175,f158,f1035]) ).
fof(f1241,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f673,f629]) ).
fof(f1261,definition,
( spl0_53
<=> sk_c11 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f1265,definition,
( spl0_54
<=> sk_c11 = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f1267,plain,
( sk_c11 != inverse(sk_c11)
| spl0_54 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1268,plain,
( ~ spl0_53
| ~ spl0_54
| ~ spl0_7
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f845,f700,f170,f1265,f1261]) ).
fof(f1270,plain,
( ~ spl0_54
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f860,f700,f628,f220,f170,f1265]) ).
fof(f1273,plain,
( sk_c11 = multiply(sk_c3,sk_c11)
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_demodulation,[],[f222,f629]) ).
fof(f1276,definition,
( spl0_55
<=> sk_c11 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f1277,plain,
( sk_c11 = multiply(sk_c2,sk_c11)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1281,definition,
( spl0_56
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f1282,plain,
( sk_c11 = sk_c10
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1310,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1241,f629]) ).
fof(f1317,plain,
( spl0_53
| ~ spl0_17
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1273,f628,f220,f1261]) ).
fof(f1339,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1310,f629]) ).
fof(f1349,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1339,f629]) ).
fof(f1354,plain,
( ~ spl0_48
| spl0_41
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1349,f628,f276,f262,f149,f700,f1035]) ).
fof(f1361,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_23
| spl0_50 ),
inference(forward_demodulation,[],[f1056,f497]) ).
fof(f1363,plain,
( ~ spl0_48
| ~ spl0_23
| spl0_50 ),
inference(avatar_split_clause,[],[f1361,f1054,f496,f1035]) ).
fof(f1372,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f172]) ).
fof(f1373,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1372,f832]) ).
fof(f1381,plain,
( sk_c11 = multiply(sk_c2,sk_c11)
| ~ spl0_19
| ~ spl0_56 ),
inference(forward_demodulation,[],[f250,f1282]) ).
fof(f1382,plain,
( spl0_55
| ~ spl0_19
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1381,f1281,f248,f1276]) ).
fof(f1401,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c6,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_23
| ~ spl0_28 ),
inference(superposition,[],[f1027,f1102]) ).
fof(f1412,plain,
( spl0_41
| ~ spl0_24
| ~ spl0_48
| ~ spl0_1
| ~ spl0_11
| ~ spl0_23
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1401,f628,f496,f190,f149,f1035,f502,f700]) ).
fof(f1428,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_24 ),
inference(superposition,[],[f312,f503]) ).
fof(f1430,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_11
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1428,f1102]) ).
fof(f1431,plain,
( spl0_48
| ~ spl0_11
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1430,f502,f496,f190,f1035]) ).
fof(f1433,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_48 ),
inference(superposition,[],[f312,f1036]) ).
fof(f1435,plain,
( identity = sk_c11
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1433,f3]) ).
fof(f1452,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_55 ),
inference(superposition,[],[f312,f1277]) ).
fof(f1454,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_18
| ~ spl0_55 ),
inference(forward_demodulation,[],[f1452,f236]) ).
fof(f1567,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44 ),
inference(superposition,[],[f312,f1373]) ).
fof(f1569,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1567,f3]) ).
fof(f1570,plain,
( sk_c11 = sk_c3
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1569,f832]) ).
fof(f1577,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44 ),
inference(superposition,[],[f172,f1570]) ).
fof(f1578,plain,
( $false
| ~ spl0_7
| ~ spl0_28
| ~ spl0_44
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f1577,f1267]) ).
fof(f1579,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_44
| spl0_54 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1583,plain,
( sk_c11 = sk_c12
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f187,f1055]) ).
fof(f1592,definition,
( spl0_66
<=> identity = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f1593,plain,
( identity = sk_c12
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1603,plain,
( spl0_66
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f753,f220,f170,f1592]) ).
fof(f1605,plain,
( spl0_44
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f535,f276,f262,f712]) ).
fof(f1607,plain,
( spl0_28
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1583,f1054,f185,f628]) ).
fof(f1639,plain,
( sk_c11 = sk_c12
| ~ spl0_48
| ~ spl0_66 ),
inference(superposition,[],[f1435,f1593]) ).
fof(f1644,plain,
( $false
| spl0_28
| ~ spl0_48
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f1639,f630]) ).
fof(f1645,plain,
( spl0_28
| ~ spl0_48
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1646,plain,
( spl0_48
| ~ spl0_18
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1454,f1276,f234,f1035]) ).
fof(f1651,plain,
( spl0_56
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f747,f220,f170,f161,f1281]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f164]) ).
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,[],[f173]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f178]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f183]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f188]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f193]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f198]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f203]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f208]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f213]) ).
cnf(s12,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f218]) ).
cnf(s14,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f224]) ).
cnf(s15,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f225]) ).
cnf(s16,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f226]) ).
cnf(s17,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f227]) ).
cnf(s18,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f228]) ).
cnf(s19,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f229]) ).
cnf(s20,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f230]) ).
cnf(s21,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f231]) ).
cnf(s22,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f232]) ).
cnf(s27,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f241]) ).
cnf(s28,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f242]) ).
cnf(s29,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f243]) ).
cnf(s30,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f244]) ).
cnf(s37,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f255]) ).
cnf(s38,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f256]) ).
cnf(s39,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f257]) ).
cnf(s40,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f258]) ).
cnf(s44,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f266]) ).
cnf(s45,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f267]) ).
cnf(s46,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f268]) ).
cnf(s47,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f269]) ).
cnf(s48,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f270]) ).
cnf(s49,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f271]) ).
cnf(s50,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f272]) ).
cnf(s51,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f273]) ).
cnf(s52,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f274]) ).
cnf(s54,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f280]) ).
cnf(s55,plain,
( spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f281]) ).
cnf(s56,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f282]) ).
cnf(s57,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f283]) ).
cnf(s58,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f284]) ).
cnf(s59,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f285]) ).
cnf(s60,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f286]) ).
cnf(s61,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f287]) ).
cnf(s62,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f288]) ).
cnf(s67,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f293]) ).
cnf(s68,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f294]) ).
cnf(s69,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f295]) ).
cnf(s70,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f296]) ).
cnf(s71,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f297]) ).
cnf(s72,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f298]) ).
cnf(s73,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f480]) ).
cnf(s77,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f514]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f638]) ).
cnf(s96,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_40
| spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f716]) ).
cnf(s103,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| spl0_28 ),
inference(sat_conversion,[],[f801]) ).
cnf(s109,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f867]) ).
cnf(s114,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(sat_conversion,[],[f955]) ).
cnf(s117,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f980]) ).
cnf(s120,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f987]) ).
cnf(s122,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f991]) ).
cnf(s123,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s124,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s132,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_28
| spl0_48 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s135,plain,
( ~ spl0_28
| spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s136,plain,
( ~ spl0_28
| spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s146,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16
| spl0_23 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s150,plain,
( ~ spl0_6
| ~ spl0_23
| spl0_47 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s165,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| spl0_17
| ~ spl0_28
| ~ spl0_48 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s170,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| ~ spl0_40 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s180,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_28
| spl0_40
| ~ spl0_44 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s185,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_23
| ~ spl0_26
| ~ spl0_28
| ~ spl0_48 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s193,plain,
( ~ spl0_7
| ~ spl0_41
| ~ spl0_53
| ~ spl0_54 ),
inference(sat_conversion,[],[f1268]) ).
cnf(s194,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_28
| ~ spl0_41
| ~ spl0_54 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s211,plain,
( ~ spl0_17
| ~ spl0_28
| spl0_53 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s228,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_28
| spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s231,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_50 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s237,plain,
( ~ spl0_19
| spl0_55
| ~ spl0_56 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s248,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_23
| ~ spl0_24
| ~ spl0_28
| spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s253,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_24
| spl0_48 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s275,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_44
| spl0_54 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s281,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_66 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s282,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_44 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s285,plain,
( ~ spl0_10
| spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s296,plain,
( spl0_28
| ~ spl0_48
| ~ spl0_66 ),
inference(sat_conversion,[],[f1645]) ).
cnf(s297,plain,
( ~ spl0_18
| spl0_48
| ~ spl0_55 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s301,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| spl0_56 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s304,plain,
spl0_5,
inference(rat,[],[s73,s67,s68,s69,s70,s71,s72]) ).
cnf(s305,plain,
( spl0_7
| ~ spl0_4 ),
inference(rat,[],[s285,s231,s185,s253,s123,s124,s146,s4,s5,s6,s7,s8,s9,s10,s11,s12,s304]) ).
cnf(s306,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s285,s231,s185,s253,s123,s124,s146,s304]) ).
cnf(s307,plain,
( spl0_16
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s22,s52,s62,s305,s304]) ).
cnf(s308,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s21,s51,s61,s306,s307,s305,s304]) ).
cnf(s309,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s297,s237,s296,s301,s281,s114,s20,s30,s40,s50,s60,s305,s304]) ).
cnf(s310,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s297,s237,s296,s301,s281,s114,s19,s29,s39,s49,s59,s305,s304]) ).
cnf(s311,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s18,s48,s58,s305,s309,s310,s304]) ).
cnf(s312,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s17,s47,s57,s305,s309,s310,s304]) ).
cnf(s313,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s16,s46,s56,s305,s309,s310,s304]) ).
cnf(s314,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s103,s114,s15,s45,s55,s305,s309,s310,s304]) ).
cnf(s315,plain,
~ spl0_4,
inference(rat,[],[s103,s114,s14,s44,s54,s308,s314,s313,s312,s311,s310,s309,s305,s304]) ).
cnf(s318,plain,
( spl0_20
| ~ spl0_12
| ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s77,s51,s52]) ).
cnf(s319,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s77,s61,s62,s87,s318]) ).
cnf(s320,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s87,s48,s58]) ).
cnf(s321,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s87,s47,s57,s319]) ).
cnf(s322,plain,
~ spl0_3,
inference(rat,[],[s321,s320]) ).
cnf(s324,plain,
( ~ spl0_28
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s180,s136,s170,s132,s304]) ).
cnf(s325,plain,
( spl0_17
| spl0_28
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s231,s253,s285,s124,s146,s16,s21,s22]) ).
cnf(s326,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_2
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s231,s253,s285,s124,s146,s6,s11,s12,s122,s325,s324,s304]) ).
cnf(s327,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s297,s237,s296,s120,s301,s281,s10,s20,s30,s40,s304]) ).
cnf(s328,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s297,s237,s296,s120,s301,s281,s9,s19,s29,s39,s304]) ).
cnf(s329,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s117,s8,s18,s28,s38,s327,s328,s304]) ).
cnf(s330,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_2
| ~ spl0_14 ),
inference(rat,[],[s117,s7,s17,s27,s37,s326,s304]) ).
cnf(s331,plain,
~ spl0_2,
inference(rat,[],[s330,s329,s328,s327]) ).
cnf(s332,plain,
spl0_1,
inference(rat,[],[s2,s315,s304,s322,s331]) ).
cnf(s333,plain,
( ~ spl0_28
| ~ spl0_7
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s165,s21,s22,s194,s96,s180,s275,s135,s136,s132,s332,s304]) ).
cnf(s334,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_11
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s103,s325,s333,s304]) ).
cnf(s335,plain,
( spl0_7
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s285,s231,s248,s253,s109,s150,s124,s146,s3,s4,s5,s6,s11,s12,s332]) ).
cnf(s336,plain,
( spl0_14
| ~ spl0_7 ),
inference(rat,[],[s193,s275,s211,s228,s296,s297,s237,s301,s281,s282,s20,s30,s40,s50,s60,s332,s304]) ).
cnf(s337,plain,
( ~ spl0_14
| ~ spl0_12
| ~ spl0_11
| ~ spl0_7 ),
inference(rat,[],[s193,s275,s211,s228,s296,s297,s237,s301,s281,s282,s19,s29,s39,s49,s59,s334,s304,s332]) ).
cnf(s338,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s337,s336,s335]) ).
cnf(s339,plain,
spl0_12,
inference(rat,[],[s193,s275,s211,s228,s296,s297,s237,s301,s281,s282,s8,s18,s28,s38,s48,s58,s332,s304]) ).
cnf(s340,plain,
~ spl0_11,
inference(rat,[],[s338,s339]) ).
cnf(s341,plain,
spl0_21,
inference(rat,[],[s57,s340]) ).
cnf(s342,plain,
spl0_20,
inference(rat,[],[s47,s340]) ).
cnf(s343,plain,
spl0_19,
inference(rat,[],[s37,s340]) ).
cnf(s344,plain,
spl0_18,
inference(rat,[],[s27,s340]) ).
cnf(s345,plain,
spl0_17,
inference(rat,[],[s17,s340]) ).
cnf(s346,plain,
spl0_7,
inference(rat,[],[s7,s340]) ).
cnf(s347,plain,
spl0_44,
inference(rat,[],[s282,s342,s341]) ).
cnf(s348,plain,
spl0_66,
inference(rat,[],[s281,s346,s345]) ).
cnf(s349,plain,
spl0_56,
inference(rat,[],[s301,s346,s304,s345]) ).
cnf(s351,plain,
spl0_55,
inference(rat,[],[s237,s343,s349]) ).
cnf(s352,plain,
spl0_48,
inference(rat,[],[s297,s344,s351]) ).
cnf(s353,plain,
spl0_28,
inference(rat,[],[s296,s348,s352]) ).
cnf(s356,plain,
spl0_41,
inference(rat,[],[s228,s352,s342,s341,s332,s353]) ).
cnf(s358,plain,
spl0_53,
inference(rat,[],[s211,s345,s353]) ).
cnf(s360,plain,
spl0_54,
inference(rat,[],[s275,s346,s347,s353]) ).
cnf(s361,plain,
$false,
inference(rat,[],[s193,s360,s346,s358,s356]) ).
fof(f1658,plain,
$false,
inference(avatar_sat_refutation,[],[s361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP312-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:49:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.30 % (3259327)Input is clausal, will run a generic CNF schedule.
% 2.62/1.30 % (3259336)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2872465639:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.62/1.30 % (3259336)Instruction limit reached!
% 2.62/1.30 % (3259336)------------------------------
% 2.62/1.30 % (3259336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.30 % (3259336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.30 % (3259336)CaDiCaL version: 2.1.3
% 2.62/1.30 % (3259336)Termination reason: Instruction limit
% 2.62/1.30 % (3259336)Termination phase: Saturation
% 2.62/1.30 % (3259336)Time elapsed: 0.035 s
% 2.62/1.30 % (3259336)Peak memory usage: 89 MB
% 2.62/1.30 % (3259336)Instructions burned: 114 (million)
% 2.62/1.30 % (3259333)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=967976168:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.62/1.30 % (3259335)lrs+10_1_sil=8000:sp=occurrence:random_seed=3794498333:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.62/1.30 % (3259334)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1921666214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.62/1.30 % (3259332)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=880013215:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.62/1.30 % (3259337)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1591323174:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/1.30 % (3259335)Refutation not found, incomplete strategy
% 2.62/1.30 % (3259335)------------------------------
% 2.62/1.30 % (3259335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.30 % (3259335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.30 % (3259335)CaDiCaL version: 2.1.3
% 2.62/1.30 % (3259335)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.30 % (3259335)Time elapsed: 0.004 s
% 2.62/1.30 % (3259335)Peak memory usage: 88 MB
% 2.62/1.30 % (3259335)Instructions burned: 6 (million)
% 2.62/1.30 % (3259338)dis-21_1_sil=8000:lcm=predicate:random_seed=1532432651:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.62/1.30 % (3259338)Refutation not found, incomplete strategy
% 2.62/1.30 % (3259338)------------------------------
% 2.62/1.30 % (3259338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.30 % (3259338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.30 % (3259338)CaDiCaL version: 2.1.3
% 2.62/1.30 % (3259338)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.30 % (3259338)Time elapsed: 0.003 s
% 2.62/1.30 % (3259338)Peak memory usage: 88 MB
% 2.62/1.30 % (3259338)Instructions burned: 3 (million)
% 2.62/1.30 % (3259337)First to succeed.
% 2.62/1.30 % (3259337)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3259327"
% 2.62/1.30 % (3259344)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=4066711798:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.62/1.30 % (3259344)Refutation not found, incomplete strategy
% 2.62/1.30 % (3259344)------------------------------
% 2.62/1.30 % (3259344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.30 % (3259344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.30 % (3259344)CaDiCaL version: 2.1.3
% 2.62/1.30 % (3259344)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.30 % (3259344)Time elapsed: 0.002 s
% 2.62/1.30 % (3259344)Peak memory usage: 88 MB
% 2.62/1.30 % (3259344)Instructions burned: 6 (million)
% 2.62/1.30 % (3259344)------------------------------
% 2.62/1.30 % (3259344)------------------------------
% 2.62/1.30 % (3259335)------------------------------
% 2.62/1.30 % (3259335)------------------------------
% 2.62/1.30 % (3259338)------------------------------
% 2.62/1.30 % (3259338)------------------------------
% 2.62/1.30 % (3259337)Refutation found. Thanks to Tanya!
% 2.62/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.49 % (3259337)------------------------------
% 3.64/1.49 % (3259337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.49 % (3259337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.49 % (3259337)CaDiCaL version: 2.1.3
% 3.64/1.49 % (3259337)Termination reason: Refutation
% 3.64/1.49 % (3259337)Time elapsed: 0.038 s
% 3.64/1.49 % (3259337)Peak memory usage: 90 MB
% 3.64/1.49 % (3259337)Instructions burned: 59 (million)
% 3.64/1.49 % (3259337)------------------------------
% 3.64/1.49 % (3259337)------------------------------
% 3.64/1.49 % (3259327)Success in time 0.433 s
% 3.64/1.49 % Vampire exiting
%------------------------------------------------------------------------------