%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP208-1 : 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 : n014.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 10:17:10 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 74
% Syntax : Number of formulae : 498 ( 26 unt; 27 def)
% Number of atoms : 1704 ( 502 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2318 (1112 ~;1179 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 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_c1,sk_c2) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f13]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f33]) ).
fof(f41,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f53]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f71,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f87]) ).
fof(f91,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c12 = inverse(sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f111,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f116,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
( sk_c12 = inverse(sk_c3)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f120,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f122,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f124,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( multiply(X0,X1) != sk_c12
| inverse(X0) != X1
| multiply(X1,sk_c11) != sk_c12
| multiply(sk_c12,X2) != sk_c11
| multiply(X3,sk_c12) != X2
| inverse(X3) != sk_c12
| multiply(X4,X5) != sk_c12
| inverse(X4) != X5
| multiply(X5,sk_c11) != sk_c12
| inverse(X6) != sk_c12
| multiply(X6,sk_c11) != sk_c12
| multiply(X7,X8) != sk_c11
| inverse(X7) != X8
| multiply(X8,sk_c12) != sk_c11
| inverse(X9) != sk_c11
| multiply(X9,sk_c12) != sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f126,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( multiply(X0,X1) != sk_c12
| inverse(X0) != X1
| sk_c12 != multiply(X1,sk_c11)
| sk_c11 != multiply(sk_c12,X2)
| multiply(X3,sk_c12) != X2
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(reorient_equations,[],[f125]) ).
fof(f127,plain,
! [X2,X3,X0,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,X2)
| multiply(X3,sk_c12) != X2
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f126]) ).
fof(f128,plain,
! [X3,X0,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f127]) ).
fof(f129,plain,
! [X3,X0,X8,X6,X9,X7,X4] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f128]) ).
fof(f130,plain,
! [X3,X0,X6,X9,X7,X4] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f129]) ).
fof(f132,definition,
( spl0_1
<=> ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f133,plain,
( ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_2
<=> ! [X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f136,plain,
( ! [X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c12) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,definition,
( spl0_3
<=> ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f139,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl0_4
<=> ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f142,plain,
( ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_5
<=> ! [X3] :
( sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f145,plain,
( ! [X3] :
( sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f130,f141,f144,f141,f138,f135,f132]) ).
fof(f148,definition,
( spl0_6
<=> sk_c11 = multiply(sk_c10,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f150,plain,
( sk_c11 = multiply(sk_c10,sk_c12)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_7
<=> sk_c12 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f154,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f124,f152,f148]) ).
fof(f157,definition,
( spl0_8
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f159,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f122,f152,f157]) ).
fof(f162,definition,
( spl0_9
<=> sk_c11 = multiply(sk_c9,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f164,plain,
( sk_c11 = multiply(sk_c9,sk_c12)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f120,f152,f162]) ).
fof(f167,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f169,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f118,f152,f167]) ).
fof(f172,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f174,plain,
( sk_c11 = multiply(sk_c8,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f116,f152,f172]) ).
fof(f177,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c7,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f179,plain,
( sk_c12 = multiply(sk_c7,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f114,f152,f177]) ).
fof(f182,definition,
( spl0_13
<=> sk_c12 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f184,plain,
( sk_c12 = inverse(sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f112,f152,f182]) ).
fof(f187,definition,
( spl0_14
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f189,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f192,definition,
( spl0_15
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f194,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f108,f152,f192]) ).
fof(f197,definition,
( spl0_16
<=> sk_c12 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f199,plain,
( sk_c12 = multiply(sk_c5,sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f106,f152,f197]) ).
fof(f202,definition,
( spl0_17
<=> sk_c4 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f204,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f104,f202,f148]) ).
fof(f206,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f102,f202,f157]) ).
fof(f207,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f100,f202,f162]) ).
fof(f208,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f98,f202,f167]) ).
fof(f209,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f96,f202,f172]) ).
fof(f210,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f94,f202,f177]) ).
fof(f211,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f92,f202,f182]) ).
fof(f213,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f88,f202,f192]) ).
fof(f214,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f86,f202,f197]) ).
fof(f216,definition,
( spl0_18
<=> sk_c11 = multiply(sk_c12,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f218,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f84,f216,f148]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f74,f216,f177]) ).
fof(f225,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f72,f216,f182]) ).
fof(f227,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f216,f192]) ).
fof(f228,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f216,f197]) ).
fof(f230,definition,
( spl0_19
<=> sk_c12 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f232,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f64,f230,f148]) ).
fof(f234,plain,
( spl0_8
| spl0_19 ),
inference(avatar_split_clause,[],[f62,f230,f157]) ).
fof(f238,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f54,f230,f177]) ).
fof(f239,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f230,f182]) ).
fof(f241,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f230,f192]) ).
fof(f242,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f230,f197]) ).
fof(f244,definition,
( spl0_20
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f246,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f44,f244,f148]) ).
fof(f248,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f42,f244,f157]) ).
fof(f252,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f34,f244,f177]) ).
fof(f253,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f32,f244,f182]) ).
fof(f254,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f30,f244,f187]) ).
fof(f255,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f244,f192]) ).
fof(f256,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f26,f244,f197]) ).
fof(f258,definition,
( spl0_21
<=> multiply(sk_c1,sk_c2) = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f260,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f24,f258,f148]) ).
fof(f262,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f22,f258,f157]) ).
fof(f266,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f14,f258,f177]) ).
fof(f267,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f12,f258,f182]) ).
fof(f268,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f10,f258,f187]) ).
fof(f269,plain,
( spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f258,f192]) ).
fof(f270,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f6,f258,f197]) ).
fof(f271,plain,
( multiply(sk_c5,sk_c6) != sk_c11
| sk_c11 != multiply(sk_c6,sk_c12)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f136,f194]) ).
fof(f273,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| sk_c11 != multiply(sk_c9,sk_c12)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f136,f169]) ).
fof(f284,definition,
( spl0_23
<=> sk_c11 = multiply(sk_c11,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f285,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( sk_c11 != multiply(sk_c11,sk_c12)
| spl0_23 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f294,definition,
( spl0_25
<=> sk_c11 = multiply(sk_c12,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f296,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| spl0_25 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f300,plain,
( sk_c11 != multiply(sk_c9,sk_c12)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f273,f174]) ).
fof(f302,plain,
( sk_c12 != sk_c11
| sk_c11 != multiply(sk_c6,sk_c12)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f271,f199]) ).
fof(f306,definition,
( spl0_26
<=> sk_c11 = multiply(sk_c6,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f308,plain,
( sk_c11 != multiply(sk_c6,sk_c12)
| spl0_26 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_27
<=> sk_c12 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f311,plain,
( sk_c12 = sk_c11
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( sk_c12 != sk_c11
| spl0_27 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f300,f164]) ).
fof(f315,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f316,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f302,f197,f192,f135,f310,f306]) ).
fof(f317,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| sk_c11 != multiply(sk_c3,sk_c12)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f136,f154]) ).
fof(f320,plain,
( sk_c11 != sk_c4
| sk_c11 != multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f317,f204]) ).
fof(f322,definition,
( spl0_28
<=> sk_c11 = sk_c4 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f324,plain,
( sk_c11 != sk_c4
| spl0_28 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f320,f202,f152,f135,f322,f294]) ).
fof(f327,plain,
( sk_c11 != multiply(sk_c2,sk_c12)
| multiply(sk_c1,sk_c2) != sk_c11
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f136,f246]) ).
fof(f330,plain,
( sk_c12 != sk_c11
| sk_c11 != multiply(sk_c2,sk_c12)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f327,f260]) ).
fof(f332,definition,
( spl0_29
<=> sk_c11 = multiply(sk_c2,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f334,plain,
( sk_c11 != multiply(sk_c2,sk_c12)
| spl0_29 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,plain,
( ~ spl0_29
| ~ spl0_27
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f330,f258,f244,f135,f310,f332]) ).
fof(f337,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f246]) ).
fof(f338,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f3,f194]) ).
fof(f339,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f3,f184]) ).
fof(f341,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_8 ),
inference(superposition,[],[f3,f159]) ).
fof(f342,plain,
( identity = multiply(sk_c12,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f154]) ).
fof(f354,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c12,X0)
| ~ spl0_21 ),
inference(superposition,[],[f4,f260]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_6 ),
inference(superposition,[],[f4,f150]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c12,X0)) = multiply(sk_c4,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f204]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c11,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f189]) ).
fof(f367,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f354,f1]) ).
fof(f369,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f337]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_20 ),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f371,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f338]) ).
fof(f372,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f371,f1]) ).
fof(f373,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f339]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c7,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f373,f1]) ).
fof(f377,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f341]) ).
fof(f378,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f377,f1]) ).
fof(f387,plain,
( sk_c2 = multiply(sk_c2,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f370,f260]) ).
fof(f398,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c12,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f356,f387]) ).
fof(f400,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f398,f260]) ).
fof(f408,plain,
( sk_c12 != sk_c11
| ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(superposition,[],[f296,f400]) ).
fof(f410,plain,
( multiply(sk_c10,sk_c12) = multiply(sk_c11,sk_c12)
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f357,f400]) ).
fof(f412,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f410,f150]) ).
fof(f414,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f412,f258,f244,f148,f284]) ).
fof(f417,plain,
( sk_c6 = multiply(sk_c6,sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f372,f199]) ).
fof(f420,plain,
( multiply(sk_c3,sk_c12) = multiply(sk_c4,sk_c12)
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f359,f400]) ).
fof(f427,plain,
( sk_c4 = multiply(sk_c4,sk_c12)
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f420,f204]) ).
fof(f455,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f374,f179]) ).
fof(f474,plain,
( sk_c12 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f378,f150]) ).
fof(f488,plain,
( multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f362,f474]) ).
fof(f490,plain,
( sk_c6 = multiply(sk_c12,sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f488,f417]) ).
fof(f655,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f367,f3]) ).
fof(f670,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f367,f367]) ).
fof(f675,plain,
( sk_c12 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f367,f417]) ).
fof(f676,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_23 ),
inference(superposition,[],[f367,f285]) ).
fof(f679,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c4)
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f367,f427]) ).
fof(f680,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_17 ),
inference(superposition,[],[f367,f204]) ).
fof(f687,plain,
( sk_c7 = multiply(inverse(sk_c12),identity)
| ~ spl0_13 ),
inference(superposition,[],[f367,f339]) ).
fof(f691,plain,
( sk_c3 = multiply(inverse(sk_c12),identity)
| ~ spl0_7 ),
inference(superposition,[],[f367,f342]) ).
fof(f698,plain,
( sk_c7 = sk_c3
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f687,f691]) ).
fof(f700,plain,
( sk_c12 = multiply(sk_c12,sk_c4)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f680,f154]) ).
fof(f701,plain,
( identity = sk_c12
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f679,f3]) ).
fof(f703,plain,
( identity = sk_c12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f676,f3]) ).
fof(f704,plain,
( identity = sk_c12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f675,f3]) ).
fof(f713,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f655,f670]) ).
fof(f716,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f713,f701]) ).
fof(f725,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f1,f701]) ).
fof(f726,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f700,f218]) ).
fof(f731,plain,
( sk_c4 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f367,f700]) ).
fof(f735,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f731,f3]) ).
fof(f741,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f726,f312]) ).
fof(f742,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f744,plain,
( sk_c12 = sk_c4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f735,f701]) ).
fof(f746,plain,
( sk_c2 != sk_c11
| ~ spl0_20
| ~ spl0_21
| spl0_29 ),
inference(forward_demodulation,[],[f334,f387]) ).
fof(f747,plain,
( $false
| ~ spl0_20
| ~ spl0_21
| spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f408,f311]) ).
fof(f748,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_25
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f750,plain,
( sk_c2 != sk_c12
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_29 ),
inference(forward_demodulation,[],[f746,f311]) ).
fof(f756,plain,
( sk_c12 = multiply(sk_c2,sk_c12)
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f232,f311]) ).
fof(f763,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f474,f311]) ).
fof(f764,plain,
( sk_c6 = multiply(sk_c12,sk_c12)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f490,f311]) ).
fof(f771,plain,
( sk_c2 = sk_c12
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f756,f716]) ).
fof(f778,plain,
( $false
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f771,f750]) ).
fof(f779,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f781,plain,
( ! [X9] :
( sk_c12 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f133,f311]) ).
fof(f788,plain,
( ! [X9] :
( sk_c11 != X9
| sk_c12 != inverse(X9) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f781,f716]) ).
fof(f792,plain,
( ! [X9] :
( sk_c12 != inverse(X9)
| sk_c12 != X9 )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f788,f311]) ).
fof(f798,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f260,f771]) ).
fof(f808,plain,
( sk_c1 = sk_c12
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f798,f716]) ).
fof(f811,plain,
( sk_c2 != sk_c12
| sk_c1 != sk_c12
| ~ spl0_1
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f792,f246]) ).
fof(f829,plain,
( sk_c1 != sk_c12
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f811,f771]) ).
fof(f830,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f829,f808]) ).
fof(f831,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f832,plain,
( ! [X6] :
( sk_c12 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_demodulation,[],[f139,f311]) ).
fof(f833,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f832,f716]) ).
fof(f857,plain,
( sk_c2 != sk_c12
| sk_c1 != sk_c12
| ~ spl0_3
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f833,f246]) ).
fof(f866,plain,
( sk_c1 != sk_c12
| ~ spl0_3
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f857,f771]) ).
fof(f867,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f866,f808]) ).
fof(f868,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f869,plain,
( ! [X4] :
( sk_c12 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(X4,inverse(X4)) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f142,f311]) ).
fof(f870,plain,
( ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f869,f716]) ).
fof(f875,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| sk_c12 != sk_c12
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f870,f154]) ).
fof(f879,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f875]) ).
fof(f882,plain,
( sk_c12 != sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f879,f204]) ).
fof(f890,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f882,f744]) ).
fof(f891,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f895,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_5
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f145,f725]) ).
fof(f896,plain,
( ! [X3] :
( sk_c11 != X3
| sk_c12 != inverse(X3) )
| ~ spl0_5
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f895,f716]) ).
fof(f897,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != X3 )
| ~ spl0_5
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f896,f311]) ).
fof(f899,plain,
( sk_c12 != sk_c11
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| spl0_28 ),
inference(superposition,[],[f324,f744]) ).
fof(f905,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f899,f311]) ).
fof(f906,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f910,plain,
( sk_c2 != sk_c12
| sk_c1 != sk_c12
| ~ spl0_5
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(superposition,[],[f897,f246]) ).
fof(f920,plain,
( sk_c1 != sk_c12
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f910,f771]) ).
fof(f921,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f920,f808]) ).
fof(f922,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f924,plain,
( ! [X9] :
( sk_c12 != multiply(X9,sk_c12)
| sk_c12 != inverse(X9) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f781,f311]) ).
fof(f925,plain,
( sk_c12 = multiply(sk_c10,sk_c12)
| ~ spl0_6
| ~ spl0_27 ),
inference(forward_demodulation,[],[f150,f311]) ).
fof(f929,plain,
( sk_c12 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f764,f763]) ).
fof(f930,plain,
( sk_c12 = inverse(sk_c10)
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_demodulation,[],[f159,f311]) ).
fof(f932,plain,
( sk_c12 = multiply(sk_c7,sk_c12)
| ~ spl0_12
| ~ spl0_27 ),
inference(forward_demodulation,[],[f179,f311]) ).
fof(f938,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl0_23 ),
inference(forward_demodulation,[],[f713,f703]) ).
fof(f939,plain,
( sk_c12 = sk_c4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f735,f703]) ).
fof(f948,plain,
( sk_c12 = multiply(sk_c3,sk_c12)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f932,f698]) ).
fof(f950,plain,
( sk_c12 = sk_c3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f948,f938]) ).
fof(f955,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(superposition,[],[f154,f950]) ).
fof(f959,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_23 ),
inference(superposition,[],[f1,f703]) ).
fof(f961,plain,
( identity = multiply(sk_c12,sk_c10)
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f3,f930]) ).
fof(f962,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f961,f959]) ).
fof(f964,plain,
( sk_c12 = sk_c10
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f962,f703]) ).
fof(f976,plain,
( sk_c12 != sk_c11
| sk_c12 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_27 ),
inference(superposition,[],[f924,f285]) ).
fof(f978,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_27 ),
inference(superposition,[],[f924,f925]) ).
fof(f979,plain,
( sk_c12 != sk_c4
| sk_c12 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_27 ),
inference(superposition,[],[f924,f204]) ).
fof(f984,plain,
( sk_c12 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f978]) ).
fof(f988,plain,
( sk_c12 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f979,f939]) ).
fof(f989,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f984,f930]) ).
fof(f990,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f992,plain,
( sk_c12 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f976,f311]) ).
fof(f997,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f988,f154]) ).
fof(f998,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f999,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f992,f311]) ).
fof(f1003,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f999,f955]) ).
fof(f1004,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1007,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f145,f959]) ).
fof(f1008,plain,
( ! [X3] :
( sk_c11 != X3
| sk_c12 != inverse(X3) )
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1007,f938]) ).
fof(f1009,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != X3 )
| ~ spl0_5
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1008,f311]) ).
fof(f1010,plain,
( sk_c12 = multiply(sk_c5,sk_c12)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f199,f929]) ).
fof(f1011,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26
| ~ spl0_27 ),
inference(superposition,[],[f308,f929]) ).
fof(f1022,plain,
( sk_c12 != sk_c11
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1011,f763]) ).
fof(f1023,plain,
( sk_c12 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1010,f938]) ).
fof(f1025,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1022,f311]) ).
fof(f1026,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1028,plain,
( sk_c12 != sk_c6
| sk_c12 != sk_c5
| ~ spl0_5
| ~ spl0_15
| ~ spl0_23
| ~ spl0_27 ),
inference(superposition,[],[f1009,f194]) ).
fof(f1029,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c7
| ~ spl0_5
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(superposition,[],[f1009,f184]) ).
fof(f1031,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c10
| ~ spl0_5
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(superposition,[],[f1009,f930]) ).
fof(f1034,plain,
( sk_c12 != sk_c10
| ~ spl0_5
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1031]) ).
fof(f1035,plain,
( sk_c12 != sk_c7
| ~ spl0_5
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1029]) ).
fof(f1038,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1034,f964]) ).
fof(f1039,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1041,plain,
( sk_c12 != sk_c3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1035,f698]) ).
fof(f1042,plain,
( sk_c12 != sk_c5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1028,f929]) ).
fof(f1043,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1041,f950]) ).
fof(f1044,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1045,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1042,f1023]) ).
fof(f1046,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1047,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f286,f311]) ).
fof(f1048,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f713,f704]) ).
fof(f1049,plain,
( sk_c12 = sk_c4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f735,f704]) ).
fof(f1055,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1047,f763]) ).
fof(f1056,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1062,plain,
( sk_c12 = sk_c11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f455,f1048]) ).
fof(f1071,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f1062,f312]) ).
fof(f1072,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1075,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f832,f1048]) ).
fof(f1089,plain,
( sk_c12 = sk_c7
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f932,f1048]) ).
fof(f1155,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c7
| ~ spl0_3
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f1075,f184]) ).
fof(f1160,plain,
( sk_c12 != sk_c7
| ~ spl0_3
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1155]) ).
fof(f1164,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1160,f1089]) ).
fof(f1165,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1172,plain,
( ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != inverse(X4) )
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f869,f1048]) ).
fof(f1192,plain,
( sk_c12 != multiply(sk_c7,sk_c12)
| sk_c12 != sk_c12
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f1172,f184]) ).
fof(f1195,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| sk_c12 != sk_c12
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f1172,f154]) ).
fof(f1199,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1195]) ).
fof(f1200,plain,
( sk_c12 != multiply(sk_c7,sk_c12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1192]) ).
fof(f1202,plain,
( sk_c12 != sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1199,f204]) ).
fof(f1204,plain,
( sk_c12 != sk_c7
| ~ spl0_4
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1200,f1048]) ).
fof(f1208,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1202,f1049]) ).
fof(f1209,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1211,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1204,f1089]) ).
fof(f1212,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
cnf(s1,plain,
( spl0_4
| spl0_2
| spl0_3
| spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f146]) ).
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,[],[f155]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f160]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f165]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f170]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f175]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f180]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f185]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f195]) ).
cnf(s12,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f200]) ).
cnf(s13,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s14,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s15,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s16,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s17,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s18,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s19,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s21,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s22,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f214]) ).
cnf(s23,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s28,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s29,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s31,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f227]) ).
cnf(s32,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f228]) ).
cnf(s33,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f233]) ).
cnf(s34,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f234]) ).
cnf(s38,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f238]) ).
cnf(s39,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f239]) ).
cnf(s41,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f241]) ).
cnf(s42,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f242]) ).
cnf(s43,plain,
( spl0_6
| spl0_20 ),
inference(sat_conversion,[],[f247]) ).
cnf(s44,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f248]) ).
cnf(s48,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f252]) ).
cnf(s49,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s50,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f254]) ).
cnf(s51,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f255]) ).
cnf(s52,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f256]) ).
cnf(s53,plain,
( spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f261]) ).
cnf(s54,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f262]) ).
cnf(s58,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f266]) ).
cnf(s59,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f267]) ).
cnf(s60,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f268]) ).
cnf(s61,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f269]) ).
cnf(s62,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f270]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f315]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f316]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f326]) ).
cnf(s74,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f336]) ).
cnf(s76,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f414]) ).
cnf(s93,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f742]) ).
cnf(s94,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f748]) ).
cnf(s96,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f779]) ).
cnf(s100,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f831]) ).
cnf(s104,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f868]) ).
cnf(s106,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f891]) ).
cnf(s108,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f906]) ).
cnf(s111,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f922]) ).
cnf(s113,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_27 ),
inference(sat_conversion,[],[f990]) ).
cnf(s115,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f998]) ).
cnf(s117,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s120,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s122,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s124,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s125,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s126,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s128,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_27 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s133,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s137,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s138,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f1212]) ).
cnf(s141,plain,
( spl0_6
| ~ spl0_5 ),
inference(rat,[],[s111,s93,s3,s13,s23,s33,s43,s53]) ).
cnf(s142,plain,
( ~ spl0_14
| ~ spl0_8
| ~ spl0_5
| ~ spl0_6
| ~ spl0_27
| ~ spl0_16
| ~ spl0_15 ),
inference(rat,[],[s126,s125]) ).
cnf(s143,plain,
( spl0_21
| ~ spl0_27
| ~ spl0_5 ),
inference(rat,[],[s142,s54,s60,s61,s62,s141]) ).
cnf(s144,plain,
( spl0_20
| ~ spl0_27
| ~ spl0_5 ),
inference(rat,[],[s142,s44,s50,s51,s52,s141]) ).
cnf(s145,plain,
( ~ spl0_27
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s34,s122,s111,s76,s144,s143,s141]) ).
cnf(s146,plain,
( spl0_27
| ~ spl0_17
| ~ spl0_7 ),
inference(rat,[],[s128,s28,s29,s31,s32,s93]) ).
cnf(s147,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s146,s145]) ).
cnf(s148,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s126,s124,s128,s14,s18,s19,s21,s22,s147,s141]) ).
cnf(s149,plain,
~ spl0_5,
inference(rat,[],[s122,s126,s128,s4,s8,s9,s11,s12,s148,s141]) ).
cnf(s150,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s106,s52,s62,s146]) ).
cnf(s151,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_4
| ~ spl0_27
| ~ spl0_7 ),
inference(rat,[],[s106,s51,s61,s137]) ).
cnf(s152,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s151,s150,s146]) ).
cnf(s153,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(rat,[],[s128,s138]) ).
cnf(s154,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s153,s18,s19,s21,s22]) ).
cnf(s155,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s153,s8,s9,s11,s12,s152]) ).
cnf(s156,plain,
~ spl0_4,
inference(rat,[],[s155,s154]) ).
cnf(s157,plain,
( spl0_13
| ~ spl0_27
| ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s104,s39,s49,s59]) ).
cnf(s158,plain,
( spl0_12
| ~ spl0_27
| ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s104,s38,s48,s58]) ).
cnf(s159,plain,
( spl0_15
| ~ spl0_27
| ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s104,s41,s51,s61]) ).
cnf(s160,plain,
( ~ spl0_27
| ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s104,s42,s52,s62,s133,s159,s158,s157]) ).
cnf(s161,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s160,s146]) ).
cnf(s162,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_3
| ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s128,s133]) ).
cnf(s163,plain,
( spl0_17
| ~ spl0_3 ),
inference(rat,[],[s162,s18,s19,s21,s22]) ).
cnf(s164,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s162,s8,s9,s11,s12,s161]) ).
cnf(s165,plain,
~ spl0_3,
inference(rat,[],[s164,s163]) ).
cnf(s166,plain,
( spl0_21
| spl0_26
| ~ spl0_15
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s120,s53,s54,s60]) ).
cnf(s167,plain,
( spl0_20
| spl0_26
| ~ spl0_15
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s120,s43,s44,s50]) ).
cnf(s168,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s72,s94,s108,s167,s166,s70,s146]) ).
cnf(s169,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s96,s74,s41,s51,s61,s168,s146]) ).
cnf(s170,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s69,s5,s6,s7]) ).
cnf(s171,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s96,s74,s42,s52,s62,s169,s146,s170]) ).
cnf(s172,plain,
~ spl0_2,
inference(rat,[],[s69,s15,s16,s17,s171]) ).
cnf(s173,plain,
spl0_1,
inference(rat,[],[s2,s149,s156,s165,s172]) ).
cnf(s174,plain,
( spl0_21
| ~ spl0_27 ),
inference(rat,[],[s113,s53,s54,s173]) ).
cnf(s175,plain,
( ~ spl0_20
| ~ spl0_7
| ~ spl0_17 ),
inference(rat,[],[s33,s100,s76,s115,s174,s146,s173]) ).
cnf(s176,plain,
( ~ spl0_7
| ~ spl0_17 ),
inference(rat,[],[s113,s43,s44,s175,s146,s173]) ).
cnf(s177,plain,
spl0_7,
inference(rat,[],[s128,s12,s113,s3,s4,s8,s9,s11,s173]) ).
cnf(s178,plain,
~ spl0_17,
inference(rat,[],[s176,s177]) ).
cnf(s179,plain,
spl0_16,
inference(rat,[],[s22,s178]) ).
cnf(s180,plain,
spl0_15,
inference(rat,[],[s21,s178]) ).
cnf(s182,plain,
spl0_13,
inference(rat,[],[s19,s178]) ).
cnf(s183,plain,
spl0_12,
inference(rat,[],[s18,s178]) ).
cnf(s187,plain,
spl0_8,
inference(rat,[],[s14,s178]) ).
cnf(s188,plain,
spl0_6,
inference(rat,[],[s13,s178]) ).
cnf(s190,plain,
spl0_27,
inference(rat,[],[s128,s182,s179,s180,s183]) ).
cnf(s191,plain,
~ spl0_23,
inference(rat,[],[s117,s190,s182,s177,s173,s183]) ).
cnf(s193,plain,
$false,
inference(rat,[],[s126,s190,s191,s188,s187]) ).
fof(f1217,plain,
$false,
inference(avatar_sat_refutation,[],[s193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n014.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:37:31 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (551642)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (551649)% WARNING: option uhcvi not known.
% 0.17/0.49 % (551654)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2861186686:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (551650)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=744560647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (551651)dis+10_1_sil=32000:sp=arity:random_seed=1919899715:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (551652)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=893325199:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (551649)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3769205711:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (551648)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2931678720_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (551653)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2496503864:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (551652) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-551642-551652"...
% 0.17/0.49 % (551651) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-551642-551651"...
% 0.17/0.49 % (551649) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-551642-551649"...
% 0.17/0.49 % (551652)...printing done.
% 0.17/0.49 % (551652)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (551652)------------------------------
% 0.17/0.49 % (551652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (551652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (551652)CaDiCaL version: 2.1.3
% 0.17/0.49 % (551652)Termination reason: Refutation
% 0.17/0.49 % (551652)Time elapsed: 0.026 s
% 0.17/0.49 % (551652)Peak memory usage: 13 MB
% 0.17/0.49 % (551652)Instructions burned: 41 (million)
% 0.17/0.49 % (551642)Success in time 0.061 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------