%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP307-1 : 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 : n015.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 10:17:26 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 84
% Syntax : Number of formulae : 501 ( 20 unt; 26 def)
% Number of atoms : 1986 ( 536 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2816 (1331 ~;1459 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 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,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = inverse(sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = inverse(sk_c11)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = inverse(sk_c11)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = inverse(sk_c11)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c9 = inverse(sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c9 = inverse(sk_c11)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c9 = inverse(sk_c11)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c9 = inverse(sk_c11)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c9 = inverse(sk_c11)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c9 = inverse(sk_c11)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f66]) ).
fof(f72,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f76]) ).
fof(f78,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f79,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f78]) ).
fof(f80,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f81,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f80]) ).
fof(f82,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f86]) ).
fof(f92,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f99,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f98]) ).
fof(f100,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f101,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f100]) ).
fof(f102,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f103,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f104]) ).
fof(f106,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f107,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f106]) ).
fof(f112,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f113,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f112]) ).
fof(f114,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f115,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f114]) ).
fof(f116,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f117,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f116]) ).
fof(f118,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f119,plain,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f118]) ).
fof(f120,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f121,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f120]) ).
fof(f122,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f123,plain,
( sk_c11 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c10) != sk_c9
| inverse(sk_c11) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| multiply(sk_c11,X0) != sk_c10
| multiply(X1,sk_c11) != X0
| inverse(X1) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c10) != sk_c9
| sk_c9 != inverse(sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c11,X0)
| multiply(X1,sk_c11) != X0
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f124]) ).
fof(f126,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c10) != sk_c9
| sk_c9 != inverse(sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(equality_resolution,[],[f125]) ).
fof(f127,plain,
! [X2,X3,X1,X6,X7,X4] :
( multiply(sk_c11,sk_c10) != sk_c9
| sk_c9 != inverse(sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f126]) ).
fof(f128,plain,
! [X2,X3,X1,X6,X4] :
( multiply(sk_c11,sk_c10) != sk_c9
| sk_c9 != inverse(sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f127]) ).
fof(f130,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f131,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f134,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f137,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,definition,
( spl0_4
<=> ! [X1] :
( sk_c10 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f140,plain,
( ! [X1] :
( sk_c10 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,definition,
( spl0_5
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f143,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| spl0_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f147,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( sk_c9 != inverse(sk_c11)
| spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f150,definition,
( spl0_7
<=> multiply(sk_c11,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f151,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( multiply(sk_c11,sk_c10) != sk_c9
| spl0_7 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f128,f150,f146,f142,f139,f136,f133,f130]) ).
fof(f155,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f157,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl0_9
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f161,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f123,f159,f155]) ).
fof(f164,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f166,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f121,f159,f164]) ).
fof(f169,definition,
( spl0_11
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f171,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f119,f159,f169]) ).
fof(f174,definition,
( spl0_12
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f176,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f117,f159,f174]) ).
fof(f179,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f181,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f115,f159,f179]) ).
fof(f184,definition,
( spl0_14
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f186,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f113,f159,f184]) ).
fof(f189,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f191,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f194,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f196,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f199,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f201,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl0_17
| spl0_9 ),
inference(avatar_split_clause,[],[f107,f159,f199]) ).
fof(f204,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f206,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f105,f159,f204]) ).
fof(f209,definition,
( spl0_19
<=> sk_c2 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f211,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f103,f209,f155]) ).
fof(f213,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f101,f209,f164]) ).
fof(f214,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f99,f209,f169]) ).
fof(f215,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f97,f209,f174]) ).
fof(f216,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f95,f209,f179]) ).
fof(f217,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f93,f209,f184]) ).
fof(f220,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f87,f209,f199]) ).
fof(f221,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f85,f209,f204]) ).
fof(f223,definition,
( spl0_20
<=> sk_c10 = multiply(sk_c11,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f225,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f83,f223,f155]) ).
fof(f227,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f81,f223,f164]) ).
fof(f228,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f79,f223,f169]) ).
fof(f229,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f77,f223,f174]) ).
fof(f230,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f75,f223,f179]) ).
fof(f231,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f73,f223,f184]) ).
fof(f234,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f67,f223,f199]) ).
fof(f235,plain,
( spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f65,f223,f204]) ).
fof(f236,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f63,f142,f155]) ).
fof(f237,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f61,f142,f164]) ).
fof(f238,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f59,f142,f169]) ).
fof(f239,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f57,f142,f174]) ).
fof(f240,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f55,f142,f179]) ).
fof(f241,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f53,f142,f184]) ).
fof(f242,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f51,f142,f189]) ).
fof(f243,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f49,f142,f194]) ).
fof(f244,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f142,f199]) ).
fof(f245,plain,
( spl0_18
| spl0_5 ),
inference(avatar_split_clause,[],[f45,f142,f204]) ).
fof(f246,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f146,f155]) ).
fof(f247,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f41,f146,f164]) ).
fof(f248,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f39,f146,f169]) ).
fof(f249,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f37,f146,f174]) ).
fof(f250,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f146,f179]) ).
fof(f251,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f33,f146,f184]) ).
fof(f252,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f31,f146,f189]) ).
fof(f253,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f146,f194]) ).
fof(f254,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f146,f199]) ).
fof(f255,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f25,f146,f204]) ).
fof(f256,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f150,f155]) ).
fof(f257,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f150,f164]) ).
fof(f258,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f150,f169]) ).
fof(f259,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f150,f174]) ).
fof(f260,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f150,f179]) ).
fof(f261,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f150,f184]) ).
fof(f262,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f150,f189]) ).
fof(f263,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f150,f194]) ).
fof(f264,plain,
( spl0_17
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f150,f199]) ).
fof(f265,plain,
( spl0_18
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f150,f204]) ).
fof(f266,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_17 ),
inference(superposition,[],[f3,f201]) ).
fof(f268,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_13 ),
inference(superposition,[],[f3,f181]) ).
fof(f270,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f3,f166]) ).
fof(f273,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f276,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f186]) ).
fof(f277,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f176]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_8 ),
inference(superposition,[],[f4,f157]) ).
fof(f279,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f273,f1]) ).
fof(f282,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f266]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f282,f1]) ).
fof(f296,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f283,f206]) ).
fof(f301,plain,
( sk_c11 != sk_c9
| spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f152,f296]) ).
fof(f309,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f276,f176]) ).
fof(f314,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f309,f296]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f279,f166]) ).
fof(f343,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_17 ),
inference(superposition,[],[f279,f266]) ).
fof(f350,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f279,f196]) ).
fof(f352,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_14 ),
inference(superposition,[],[f279,f186]) ).
fof(f354,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f279,f314]) ).
fof(f356,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_12 ),
inference(superposition,[],[f279,f176]) ).
fof(f357,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_13 ),
inference(superposition,[],[f279,f268]) ).
fof(f358,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f279,f270]) ).
fof(f359,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f279,f157]) ).
fof(f366,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f359,f171]) ).
fof(f367,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f354,f181]) ).
fof(f369,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f352,f181]) ).
fof(f371,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f350,f191]) ).
fof(f379,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c8)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f279,f366]) ).
fof(f381,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f379,f166]) ).
fof(f382,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f278,f369]) ).
fof(f383,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f276,f369]) ).
fof(f386,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f383,f186]) ).
fof(f387,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f382,f157]) ).
fof(f388,plain,
( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9)
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f277,f371]) ).
fof(f393,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f388,f176]) ).
fof(f402,plain,
( sk_c11 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f367,f369]) ).
fof(f421,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f357,f402]) ).
fof(f425,plain,
( sk_c3 = sk_c5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f421,f343]) ).
fof(f426,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f358,f402]) ).
fof(f436,plain,
( sk_c3 = sk_c6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f426,f343]) ).
fof(f481,plain,
( sk_c6 = multiply(sk_c11,sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f381,f402]) ).
fof(f521,plain,
( sk_c11 = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f481,f386]) ).
fof(f524,plain,
( identity = multiply(sk_c8,sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f270,f521]) ).
fof(f530,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f524,f369]) ).
fof(f532,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f530,f402]) ).
fof(f537,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f357,f532]) ).
fof(f543,plain,
( sk_c10 = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f537,f356]) ).
fof(f547,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c11,X0)) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f338,f521]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f547,f402]) ).
fof(f549,plain,
( sk_c10 = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f543,f425]) ).
fof(f594,plain,
( sk_c10 = sk_c6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f436,f549]) ).
fof(f595,plain,
( sk_c11 = sk_c10
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f594,f521]) ).
fof(f628,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f548,f393]) ).
fof(f629,plain,
( sk_c3 = multiply(sk_c11,identity)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f548,f266]) ).
fof(f637,plain,
( sk_c3 = multiply(sk_c11,sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f629,f532]) ).
fof(f638,plain,
( sk_c11 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f628,f386]) ).
fof(f643,plain,
( sk_c11 = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f637,f386]) ).
fof(f644,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f638,f301]) ).
fof(f645,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f648,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f144,f595]) ).
fof(f649,plain,
( sk_c11 = sk_c9
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f151,f296]) ).
fof(f672,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f648,f649]) ).
fof(f673,plain,
( $false
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f672,f386]) ).
fof(f674,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f676,plain,
( sk_c11 != inverse(sk_c11)
| spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f148,f649]) ).
fof(f680,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f201,f643]) ).
fof(f690,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f680,f676]) ).
fof(f691,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f693,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f134,f595]) ).
fof(f694,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f147,f649]) ).
fof(f695,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f693,f649]) ).
fof(f696,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f695,f595]) ).
fof(f712,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f696,f206]) ).
fof(f728,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f712,f595]) ).
fof(f743,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f728,f201]) ).
fof(f744,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f762,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c11)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f131,f595]) ).
fof(f763,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f762,f694]) ).
fof(f773,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f782,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f773,f386]) ).
fof(f814,plain,
( sk_c10 != inverse(inverse(sk_c8))
| sk_c11 != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f782,f356]) ).
fof(f822,plain,
( sk_c6 != inverse(sk_c6)
| sk_c11 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f782,f387]) ).
fof(f823,plain,
( sk_c8 != sk_c6
| sk_c11 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f822,f166]) ).
fof(f831,plain,
( sk_c10 != inverse(inverse(sk_c11))
| sk_c11 != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f814,f402]) ).
fof(f834,plain,
( sk_c11 != sk_c8
| sk_c11 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f823,f521]) ).
fof(f842,plain,
( sk_c10 != inverse(sk_c11)
| sk_c11 != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f831,f694]) ).
fof(f845,plain,
( sk_c11 != inverse(inverse(sk_c6))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f834,f402]) ).
fof(f854,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f842,f694]) ).
fof(f857,plain,
( sk_c11 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f845,f166]) ).
fof(f865,plain,
( sk_c11 != inverse(inverse(inverse(sk_c8)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f854,f595]) ).
fof(f868,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f857,f402]) ).
fof(f879,plain,
( sk_c11 != inverse(inverse(inverse(sk_c11)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f865,f402]) ).
fof(f883,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f868,f694]) ).
fof(f884,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f885,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f879,f694]) ).
fof(f888,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f885,f694]) ).
fof(f889,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f888,f694]) ).
fof(f890,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f891,plain,
( ! [X1] :
( sk_c11 != multiply(sk_c11,multiply(X1,sk_c11))
| sk_c11 != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f140,f595]) ).
fof(f899,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f891,f314]) ).
fof(f916,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f899,f386]) ).
fof(f927,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f916,f425]) ).
fof(f942,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f927,f201]) ).
fof(f943,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f960,plain,
( ! [X2] :
( sk_c11 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f137,f595]) ).
fof(f967,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f960,f206]) ).
fof(f983,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f967,f595]) ).
fof(f998,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f983,f201]) ).
fof(f999,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1020,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f3,f161]) ).
fof(f1021,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_19 ),
inference(superposition,[],[f279,f211]) ).
fof(f1023,plain,
( sk_c11 = multiply(sk_c11,sk_c2)
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1021,f161]) ).
fof(f1044,definition,
( spl0_23
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1045,plain,
( identity = sk_c11
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1077,definition,
( spl0_29
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1078,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1079,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl0_29 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1081,definition,
( spl0_30
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1082,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1085,definition,
( spl0_31
<=> sk_c11 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f1086,plain,
( sk_c11 = sk_c2
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1091,definition,
( spl0_32
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f1092,plain,
( sk_c11 = sk_c10
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1136,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_23 ),
inference(superposition,[],[f1,f1045]) ).
fof(f1281,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f134,f1092]) ).
fof(f1307,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(X2,sk_c11) )
| ~ spl0_3
| ~ spl0_32 ),
inference(forward_demodulation,[],[f137,f1092]) ).
fof(f1313,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_32 ),
inference(superposition,[],[f1307,f161]) ).
fof(f1314,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1313]) ).
fof(f1327,plain,
( ! [X1] :
( sk_c11 != inverse(X1)
| sk_c11 != multiply(sk_c11,multiply(X1,sk_c11)) )
| ~ spl0_4
| ~ spl0_32 ),
inference(forward_demodulation,[],[f140,f1092]) ).
fof(f1329,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,multiply(sk_c3,sk_c11))
| ~ spl0_4
| ~ spl0_17
| ~ spl0_32 ),
inference(superposition,[],[f1327,f201]) ).
fof(f1333,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,multiply(sk_c1,sk_c11))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_32 ),
inference(superposition,[],[f1327,f161]) ).
fof(f1334,plain,
( sk_c11 != multiply(sk_c11,multiply(sk_c1,sk_c11))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1333]) ).
fof(f1335,plain,
( sk_c11 != multiply(sk_c11,multiply(sk_c3,sk_c11))
| ~ spl0_4
| ~ spl0_17
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1329]) ).
fof(f1337,plain,
( sk_c11 != multiply(sk_c11,sk_c2)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1334,f211]) ).
fof(f1345,plain,
( $false
| ~ spl0_4
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1335,f283]) ).
fof(f1346,plain,
( ~ spl0_4
| ~ spl0_17
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1348,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19
| ~ spl0_31
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1337,f1086]) ).
fof(f1351,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19
| ~ spl0_29
| ~ spl0_31
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1348,f1078]) ).
fof(f1352,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_19
| ~ spl0_29
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1357,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c9 != multiply(X3,sk_c11) )
| ~ spl0_2
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1281,f1092]) ).
fof(f1361,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_demodulation,[],[f151,f1092]) ).
fof(f1362,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl0_5
| ~ spl0_32 ),
inference(forward_demodulation,[],[f143,f1092]) ).
fof(f1370,plain,
( sk_c11 = sk_c9
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1361,f1078]) ).
fof(f1382,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f147,f1370]) ).
fof(f1427,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1357,f1370]) ).
fof(f1438,plain,
( sk_c10 = sk_c2
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f225,f1136]) ).
fof(f1439,plain,
( identity = sk_c1
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f1020,f1136]) ).
fof(f1443,plain,
( sk_c11 = sk_c1
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1439,f1045]) ).
fof(f1452,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(superposition,[],[f1427,f1382]) ).
fof(f1458,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1452]) ).
fof(f1462,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1458,f1078]) ).
fof(f1463,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1470,plain,
( $false
| ~ spl0_23
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1079,f1136]) ).
fof(f1471,plain,
( ~ spl0_23
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1475,plain,
( sk_c11 = sk_c2
| ~ spl0_20
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1438,f1092]) ).
fof(f1480,plain,
( sk_c11 = sk_c9
| ~ spl0_7
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1361,f1136]) ).
fof(f1488,plain,
( spl0_31
| ~ spl0_20
| ~ spl0_23
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1475,f1091,f1044,f223,f1085]) ).
fof(f1499,plain,
( identity = multiply(sk_c9,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f147]) ).
fof(f1541,plain,
( identity = sk_c11
| ~ spl0_5
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1499,f1362]) ).
fof(f1590,plain,
( sk_c11 = sk_c10
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f225,f1023]) ).
fof(f1622,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1541,f1091,f146,f142,f1044]) ).
fof(f1623,plain,
( spl0_32
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1590,f223,f209,f159,f1091]) ).
fof(f1629,definition,
( spl0_46
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f1630,plain,
( sk_c11 = sk_c9
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1642,plain,
( spl0_46
| ~ spl0_7
| ~ spl0_23
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1480,f1091,f1044,f150,f1629]) ).
fof(f1660,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f131,f161]) ).
fof(f1663,plain,
( ! [X0] :
( sk_c11 != sk_c9
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1660,f151]) ).
fof(f1668,plain,
( ! [X0] :
( sk_c11 != sk_c2
| sk_c11 != sk_c9
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1663,f211]) ).
fof(f1681,plain,
( spl0_30
| ~ spl0_46
| ~ spl0_31
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1668,f209,f159,f150,f130,f1085,f1629,f1081]) ).
fof(f1859,plain,
( sk_c11 != inverse(sk_c9)
| sk_c9 != multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f1082,f147]) ).
fof(f1865,plain,
( sk_c11 != inverse(sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_30
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1859,f1361]) ).
fof(f1868,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_30
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1865,f1630]) ).
fof(f1873,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_30
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1868,f1382]) ).
fof(f1874,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_30
| ~ spl0_32
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1878,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1314,f1443]) ).
fof(f1881,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_23
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1878,f1078]) ).
fof(f1882,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_23
| ~ spl0_29
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f153]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f162]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f167]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f172]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f177]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f182]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f187]) ).
cnf(s10,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f202]) ).
cnf(s11,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f207]) ).
cnf(s12,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f212]) ).
cnf(s13,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f213]) ).
cnf(s14,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f214]) ).
cnf(s15,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f215]) ).
cnf(s16,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f216]) ).
cnf(s17,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f217]) ).
cnf(s20,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f220]) ).
cnf(s21,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f221]) ).
cnf(s22,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f226]) ).
cnf(s23,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f227]) ).
cnf(s24,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f228]) ).
cnf(s25,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f229]) ).
cnf(s26,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f230]) ).
cnf(s27,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f231]) ).
cnf(s30,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f234]) ).
cnf(s31,plain,
( spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f235]) ).
cnf(s32,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f236]) ).
cnf(s33,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f237]) ).
cnf(s34,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f238]) ).
cnf(s35,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f239]) ).
cnf(s36,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f240]) ).
cnf(s37,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f241]) ).
cnf(s38,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f242]) ).
cnf(s39,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f243]) ).
cnf(s40,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f244]) ).
cnf(s41,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f245]) ).
cnf(s42,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f246]) ).
cnf(s43,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f247]) ).
cnf(s44,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f248]) ).
cnf(s45,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f249]) ).
cnf(s46,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f250]) ).
cnf(s47,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f251]) ).
cnf(s48,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f252]) ).
cnf(s49,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f253]) ).
cnf(s50,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f254]) ).
cnf(s51,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f255]) ).
cnf(s52,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f256]) ).
cnf(s53,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f257]) ).
cnf(s54,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f258]) ).
cnf(s55,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f259]) ).
cnf(s56,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f260]) ).
cnf(s57,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f261]) ).
cnf(s58,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f262]) ).
cnf(s59,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f263]) ).
cnf(s60,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f264]) ).
cnf(s61,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f265]) ).
cnf(s62,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f645]) ).
cnf(s63,plain,
( spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f674]) ).
cnf(s64,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f691]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f744]) ).
cnf(s84,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f884]) ).
cnf(s86,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f890]) ).
cnf(s93,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f943]) ).
cnf(s104,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f999]) ).
cnf(s144,plain,
( ~ spl0_4
| ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s145,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_19
| ~ spl0_29
| ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s155,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_32 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s158,plain,
( ~ spl0_23
| spl0_29 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s159,plain,
( ~ spl0_20
| ~ spl0_23
| spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s185,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_23
| ~ spl0_32 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s186,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_20
| spl0_32 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s193,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_32
| spl0_46 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s202,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| spl0_30
| ~ spl0_31
| ~ spl0_46 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s215,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_29
| ~ spl0_30
| ~ spl0_32
| ~ spl0_46 ),
inference(sat_conversion,[],[f1874]) ).
cnf(s217,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_23
| ~ spl0_29
| ~ spl0_32 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s218,plain,
spl0_5,
inference(rat,[],[s62,s63,s32,s33,s34,s35,s36,s37,s38,s39,s40,s41]) ).
cnf(s219,plain,
spl0_6,
inference(rat,[],[s64,s62,s42,s43,s44,s45,s46,s47,s48,s49,s50,s51]) ).
cnf(s220,plain,
spl0_7,
inference(rat,[],[s62,s52,s53,s54,s55,s56,s57,s58,s59,s60,s61]) ).
cnf(s221,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s93,s3,s4,s5,s6,s7,s10,s11]) ).
cnf(s222,plain,
( ~ spl0_17
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s186,s21,s31,s144,s93,s221]) ).
cnf(s223,plain,
( spl0_17
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s145,s158,s159,s185,s186,s20,s30,s218,s219]) ).
cnf(s224,plain,
( spl0_14
| spl0_32
| ~ spl0_9 ),
inference(rat,[],[s186,s17,s27]) ).
cnf(s225,plain,
( spl0_13
| spl0_32
| ~ spl0_9 ),
inference(rat,[],[s186,s16,s26]) ).
cnf(s226,plain,
( spl0_12
| spl0_32
| ~ spl0_9 ),
inference(rat,[],[s186,s15,s25]) ).
cnf(s227,plain,
( spl0_11
| spl0_32
| ~ spl0_9 ),
inference(rat,[],[s186,s14,s24]) ).
cnf(s228,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s186,s13,s23,s222,s227,s226,s225,s224,s144,s223,s221]) ).
cnf(s229,plain,
~ spl0_4,
inference(rat,[],[s144,s223,s186,s2,s12,s22,s228]) ).
cnf(s230,plain,
( ~ spl0_32
| ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s217,s158,s185,s218,s219]) ).
cnf(s231,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s104,s30,s31]) ).
cnf(s232,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s104,s20,s21,s186,s231,s230]) ).
cnf(s233,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s186,s13,s23,s232,s227,s226,s225,s224,s230]) ).
cnf(s234,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s104,s3,s4,s5,s6,s7,s10,s11,s233]) ).
cnf(s235,plain,
~ spl0_3,
inference(rat,[],[s230,s186,s2,s12,s22,s234]) ).
cnf(s236,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s69,s30,s31,s220]) ).
cnf(s237,plain,
( ~ spl0_32
| ~ spl0_2 ),
inference(rat,[],[s158,s155,s185,s219,s220,s218]) ).
cnf(s238,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s69,s20,s21,s186,s236,s224,s225,s226,s227,s237,s220]) ).
cnf(s239,plain,
( spl0_10
| ~ spl0_9
| spl0_32 ),
inference(rat,[],[s186,s13,s23]) ).
cnf(s240,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s186,s12,s22,s238,s239,s237]) ).
cnf(s241,plain,
~ spl0_2,
inference(rat,[],[s69,s2,s3,s4,s5,s6,s7,s10,s11,s240,s220]) ).
cnf(s242,plain,
spl0_1,
inference(rat,[],[s1,s219,s229,s220,s218,s235,s241]) ).
cnf(s243,plain,
( spl0_20
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s86,s24,s25,s26,s27,s30,s31,s219,s220,s242]) ).
cnf(s244,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_20 ),
inference(rat,[],[s215,s202,s158,s159,s193,s185,s186,s218,s242,s220,s219]) ).
cnf(s245,plain,
( spl0_19
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s84,s14,s15,s16,s17,s20,s21,s219,s220,s242]) ).
cnf(s246,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s84,s4,s5,s6,s7,s10,s11,s244,s245,s243,s242,s220,s219]) ).
cnf(s247,plain,
spl0_10,
inference(rat,[],[s244,s3,s13,s23]) ).
cnf(s248,plain,
~ spl0_8,
inference(rat,[],[s246,s247]) ).
cnf(s249,plain,
spl0_20,
inference(rat,[],[s22,s248]) ).
cnf(s250,plain,
spl0_19,
inference(rat,[],[s12,s248]) ).
cnf(s251,plain,
spl0_9,
inference(rat,[],[s2,s248]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s244,s249,s251,s250]) ).
fof(f1883,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP307-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:52:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (1415416)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (1415422)% WARNING: option uhcvi not known.
% 0.11/0.46 % (1415422)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3216374030:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (1415421)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2295707853_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (1415427)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1383843160:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (1415423)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3068320220:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (1415424)dis+10_1_sil=32000:sp=arity:random_seed=4173014237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (1415425)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=40416758:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (1415426)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=269597597:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (1415422) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1415416-1415422"...
% 0.11/0.46 % (1415424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1415416-1415424"...
% 0.11/0.46 % (1415422)...printing done.
% 0.11/0.46 % (1415422)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46 % (1415422)------------------------------
% 0.23/0.46 % (1415422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.46 % (1415422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.46 % (1415422)CaDiCaL version: 2.1.3
% 0.23/0.46 % (1415422)Termination reason: Refutation
% 0.23/0.46 % (1415422)Time elapsed: 0.022 s
% 0.23/0.46 % (1415422)Peak memory usage: 13 MB
% 0.23/0.46 % (1415422)Instructions burned: 62 (million)
% 0.23/0.46 % (1415416)Success in time 0.053 s
% 0.23/0.46 % Vampire exiting
%------------------------------------------------------------------------------